{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 18. Molecular titration generates ultrasensitive responses in biological circuits\n",
    "\n",
    "(c) 2019 Justin Bois and Michael Elowitz. With the exception of pasted graphics, where the source is noted, this work is licensed under a [Creative Commons Attribution License CC-BY 4.0](https://creativecommons.org/licenses/by/4.0/). All code contained herein is licensed under an [MIT license](https://opensource.org/licenses/MIT).\n",
    "\n",
    "This document was prepared at [Caltech](http://www.caltech.edu) with financial support from the [Donna and Benjamin M. Rosen Bioengineering Center](http://rosen.caltech.edu).\n",
    "\n",
    "<img src=\"figs/caltech_rosen.png\">\n",
    "\n",
    "<hr>\n",
    "<br/>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Design principle\n",
    "\n",
    "- Molecular titration creates ultrasensitive switches and promotes unidirectional communication\n",
    "\n",
    "#### Techniques\n",
    "\n",
    "- \n",
    "\n",
    "#### Papers\n",
    "- N.E. Buchler and M. Louis, Molecular Titration and Ultrasensitivity in Regulatory Networks, J.M.B. (2008).\n",
    "- N.E. Bucher and F.R. Cross, Protein sequestration generates a flexible ultrasensitive response in a genetic network, Mol. Syst. Biol. (2009).\n",
    "- S. Mukherji et al, “MicroRNAs can generate thresholds in target gene expression”, Nat. Gen. 2011\n",
    "- Levine et al, PLoS Biol, 2007; Mukherji et al, 2011: Regulation of mRNA level by small RNAs\n",
    "- D. Sprinzak et al, Nature 2010; D. Sprinzak et al, PLoS Comput. Biol. 2011\n",
    "- E. Rotem et al, Regulation of phenotypic variability by a threshold- based mechanism underlies bacterial persistence, PNAS 2010.\n",
    "- See also: F. Corson et al, “Self-organized Notch dynamics generate stereotyped sensory organ patterns in Drosophila,” Science 2017\n",
    "\n",
    "\n",
    "<br />\n",
    "\n",
    "<hr>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-13T17:30:55.569615Z",
     "start_time": "2019-05-13T17:30:55.476875Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <a href=\"https://bokeh.pydata.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"3270\">Loading BokehJS ...</span>\n",
       "    </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  var force = true;\n",
       "\n",
       "  if (typeof (root._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n",
       "    root._bokeh_onload_callbacks = [];\n",
       "    root._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "  var JS_MIME_TYPE = 'application/javascript';\n",
       "  var HTML_MIME_TYPE = 'text/html';\n",
       "  var EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  var CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    var script = document.createElement(\"script\");\n",
       "    node.appendChild(script);\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when an output is cleared or removed\n",
       "   */\n",
       "  function handleClearOutput(event, handle) {\n",
       "    var cell = handle.cell;\n",
       "\n",
       "    var id = cell.output_area._bokeh_element_id;\n",
       "    var server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      var cmd = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
       "      cell.notebook.kernel.execute(cmd, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            var id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      var cmd = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    var output_area = handle.output_area;\n",
       "    var output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
       "\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
       "      toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
       "      // store reference to embed id on output_area\n",
       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
       "    }\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
       "      var bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      var script_attrs = bk_div.children[0].attributes;\n",
       "      for (var i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
       "      }\n",
       "      // store reference to server id on output_area\n",
       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function register_renderer(events, OutputArea) {\n",
       "\n",
       "    function append_mime(data, metadata, element) {\n",
       "      // create a DOM node to render to\n",
       "      var toinsert = this.create_output_subarea(\n",
       "        metadata,\n",
       "        CLASS_NAME,\n",
       "        EXEC_MIME_TYPE\n",
       "      );\n",
       "      this.keyboard_manager.register_events(toinsert);\n",
       "      // Render to node\n",
       "      var props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
       "      render(props, toinsert[toinsert.length - 1]);\n",
       "      element.append(toinsert);\n",
       "      return toinsert\n",
       "    }\n",
       "\n",
       "    /* Handle when an output is cleared or removed */\n",
       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
       "    events.on('delete.Cell', handleClearOutput);\n",
       "\n",
       "    /* Handle when a new output is added */\n",
       "    events.on('output_added.OutputArea', handleAddOutput);\n",
       "\n",
       "    /**\n",
       "     * Register the mime type and append_mime function with output_area\n",
       "     */\n",
       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
       "      /* Is output safe? */\n",
       "      safe: true,\n",
       "      /* Index of renderer in `output_area.display_order` */\n",
       "      index: 0\n",
       "    });\n",
       "  }\n",
       "\n",
       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
       "  if (root.Jupyter !== undefined) {\n",
       "    var events = require('base/js/events');\n",
       "    var OutputArea = require('notebook/js/outputarea').OutputArea;\n",
       "\n",
       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  \n",
       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    root._bokeh_timeout = Date.now() + 5000;\n",
       "    root._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    var el = document.getElementById(\"3270\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
       "    }\n",
       "    finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.info(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(js_urls, callback) {\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = js_urls.length;\n",
       "    for (var i = 0; i < js_urls.length; i++) {\n",
       "      var url = js_urls[i];\n",
       "      var s = document.createElement('script');\n",
       "      s.src = url;\n",
       "      s.async = false;\n",
       "      s.onreadystatechange = s.onload = function() {\n",
       "        root._bokeh_is_loading--;\n",
       "        if (root._bokeh_is_loading === 0) {\n",
       "          console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
       "          run_callbacks()\n",
       "        }\n",
       "      };\n",
       "      s.onerror = function() {\n",
       "        console.warn(\"failed to load library \" + url);\n",
       "      };\n",
       "      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "    }\n",
       "  };var element = document.getElementById(\"3270\");\n",
       "  if (element == null) {\n",
       "    console.log(\"Bokeh: ERROR: autoload.js configured with elementid '3270' but no matching script tag was found. \")\n",
       "    return false;\n",
       "  }\n",
       "\n",
       "  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-1.0.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.0.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-1.0.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-1.0.4.min.js\"];\n",
       "\n",
       "  var inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "    \n",
       "    function(Bokeh) {\n",
       "      \n",
       "    },\n",
       "    function(Bokeh) {\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-1.0.4.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-1.0.4.min.css\");\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.0.4.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.0.4.min.css\");\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-tables-1.0.4.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-tables-1.0.4.min.css\");\n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    \n",
       "    if ((root.Bokeh !== undefined) || (force === true)) {\n",
       "      for (var i = 0; i < inline_js.length; i++) {\n",
       "        inline_js[i].call(root, root.Bokeh);\n",
       "      }if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!root._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      root._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      var cell = $(document.getElementById(\"3270\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(js_urls, function() {\n",
       "      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  var force = true;\n\n  if (typeof (root._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n  \n\n  \n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  var NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    var el = document.getElementById(\"3270\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n    }\n    finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.info(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(js_urls, callback) {\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = js_urls.length;\n    for (var i = 0; i < js_urls.length; i++) {\n      var url = js_urls[i];\n      var s = document.createElement('script');\n      s.src = url;\n      s.async = false;\n      s.onreadystatechange = s.onload = function() {\n        root._bokeh_is_loading--;\n        if (root._bokeh_is_loading === 0) {\n          console.log(\"Bokeh: all BokehJS libraries loaded\");\n          run_callbacks()\n        }\n      };\n      s.onerror = function() {\n        console.warn(\"failed to load library \" + url);\n      };\n      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.getElementsByTagName(\"head\")[0].appendChild(s);\n    }\n  };var element = document.getElementById(\"3270\");\n  if (element == null) {\n    console.log(\"Bokeh: ERROR: autoload.js configured with elementid '3270' but no matching script tag was found. \")\n    return false;\n  }\n\n  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-1.0.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.0.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-1.0.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-1.0.4.min.js\"];\n\n  var inline_js = [\n    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\n    \n    function(Bokeh) {\n      \n    },\n    function(Bokeh) {\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-1.0.4.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-1.0.4.min.css\");\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.0.4.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.0.4.min.css\");\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-tables-1.0.4.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-tables-1.0.4.min.css\");\n    }\n  ];\n\n  function run_inline_js() {\n    \n    if ((root.Bokeh !== undefined) || (force === true)) {\n      for (var i = 0; i < inline_js.length; i++) {\n        inline_js[i].call(root, root.Bokeh);\n      }if (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      var cell = $(document.getElementById(\"3270\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(js_urls, function() {\n      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import scipy.stats as st\n",
    "import numba\n",
    "\n",
    "import biocircuits\n",
    "\n",
    "import bokeh.io\n",
    "import bokeh.plotting\n",
    "\n",
    "bokeh.io.output_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ultrasensitivity is necessary for many circuits - how can one generate it?\n",
    "\n",
    "Ultrasensitivity plays a key role in many circuits. For example, together with positive feedback, it enables multistability. Together with negative feedback, it enables oscillations.\n",
    "\n",
    "Ultrasensitive can occur at different levels: for instance, in the transcriptional regulation of a target gene, or in the allosteric regulation of a protein. \n",
    "\n",
    "Are there simple, generalizable design strategies that could confer ultrasensitivity?\n",
    "\n",
    "More specifically: If you needed to ensure an ultrasensitive relationship between one species and its target, how would you do it?\n",
    "\n",
    "Before we go on, consider a simple gene regulatory system, in which an input activator, $A$, controls the expression of a target protein $Y$:\n",
    "\n",
    "<center><img src=\"figs/simple_gene_regulation.png\" width=\"175\"></center>\n",
    "<br/>\n",
    "\n",
    "Let's pause to ask: \n",
    "\n",
    "1. How could you insert ultrasensitivity into the dependence of Y on A?\n",
    "2. How could you make the threshold and sensitivity of the overall input function tunable?\n",
    "\n",
    "<br/><br/>\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## \"Subtraction\" by titration\n",
    "\n",
    "Today we will discuss **molecular titration**, a simple and general mechanism that provides tunable ultrasensitivity across diverse natural systems, and allows engineering of ultrasensitive responses in synthetic circuits.\n",
    "\n",
    "One of the most striking features of biological molecules is their tendency to form strong and specific complexes with one another. Depending on the system, the complex itself may provide a particular activity, such as gene regulation. Or, alternatively, one of the monomers may provide an activity, with the complex inhibiting it.\n",
    "\n",
    "<center><img src=\"figs/molecular_titration.png\" width=\"250px\"></center>\n",
    "\n",
    "In this example, molecular titration performs a kind of \"subtraction\" operation, in which an inhibitor (inactive species) \"subtracts off\" a fraction of otherwise active molecules.\n",
    "\n",
    "Molecular titration occurs in diverse contexts:\n",
    "\n",
    "* In bacterial gene regulation, specialized transcription factors called sigma factors are stoichiometrically inhibited by cognate anti-sigma factors. \n",
    "\n",
    "* Transcription factors, such as basic helix-loop-helix proteins, form specific homo- and hetero-dimeric complexes with one another, each with a distinct binding specificity or activity.\n",
    "\n",
    "* Small RNA regulators can bind to cognate target mRNAs, inhibiting their translation. \n",
    "\n",
    "* In toxin-antitoxin systems, the \"anti-toxin\" protein can bind to its cognate toxin, blocking its activity.\n",
    "\n",
    "* Intercellular communication systems often work through direct complexes between ligands and receptors or ligands and inhibitors. \n",
    "\n",
    "Today we will discuss the way in which these systems use molecular titration, through complex formation, to generate ultrasensitivity. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Molecular titration: a minimal model\n",
    "\n",
    "To see how molecular titration produces ultrasensitivity we will consider the simplest possible example of two proteins, $A$ and $B$, that can bind to form a complex, $C$, that is inactive for both $A$ and $B$ activities. This system can be described by the following reactions:\n",
    "\n",
    "$ A + B  \\underset{k_{\\it{off}}}{\\stackrel{k_\\it{on}}{\\rightleftharpoons}} C $\n",
    "\n",
    "At steady-state we have:\n",
    "\n",
    "$ k_\\it{on} A B = k_\\it{off} C $\n",
    "\n",
    "with \n",
    "\n",
    "$K_d = k_\\it{off}/k_\\it{on} = A B / C$\n",
    "\n",
    "We also will insist on conservation of mass:\n",
    "\n",
    "\\begin{align}\n",
    "A_T = A + C \\\\ \n",
    "B_T = B + C\n",
    "\\end{align}\n",
    "\n",
    "Here, $A_T$ and $B_T$ denote the total amounts of $A$ and $B$, respectively.\n",
    "\n",
    "From these equations, one can determine an expression for the amount of free $A$ (or $B$) as a function of $A_T$ and $B_T$ for different parameter values:\n",
    "\n",
    "\\begin{align}\n",
    "A = \\frac{1}{2} \\left( A_T-B_T-K_d+\\sqrt{(A_T-B_T-K_d)^2+4A_T K_d}  \\right)\n",
    "\\end{align}\n",
    "\n",
    "What does this relationship look like? More specifically, let's consider a case in which we control the total amount of $A_T$ and see how much free $A$ we get, for different amounts of $B_T$. We will start by assuming the limit of very strong binding (small values of $K_d$):\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-13T17:41:37.087762Z",
     "start_time": "2019-05-13T17:41:36.896600Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"d45722eb-9974-4f06-98f3-0e0dbe1b2634\" data-root-id=\"5684\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"d86e00cd-b4f0-417d-b02d-aff3ec2014c8\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"5694\",\"type\":\"LogAxis\"}],\"left\":[{\"id\":\"5699\",\"type\":\"LogAxis\"}],\"plot_height\":300,\"plot_width\":450,\"renderers\":[{\"id\":\"5694\",\"type\":\"LogAxis\"},{\"id\":\"5698\",\"type\":\"Grid\"},{\"id\":\"5699\",\"type\":\"LogAxis\"},{\"id\":\"5703\",\"type\":\"Grid\"},{\"id\":\"5712\",\"type\":\"BoxAnnotation\"},{\"id\":\"5730\",\"type\":\"Legend\"},{\"id\":\"5722\",\"type\":\"GlyphRenderer\"},{\"id\":\"5735\",\"type\":\"GlyphRenderer\"},{\"id\":\"5749\",\"type\":\"GlyphRenderer\"},{\"id\":\"5765\",\"type\":\"GlyphRenderer\"},{\"id\":\"5783\",\"type\":\"GlyphRenderer\"},{\"id\":\"5803\",\"type\":\"GlyphRenderer\"}],\"title\":{\"id\":\"5683\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"5710\",\"type\":\"Toolbar\"},\"x_range\":{\"id\":\"5686\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"5690\",\"type\":\"LogScale\"},\"y_range\":{\"id\":\"5688\",\"type\":\"DataRange1d\"},\"y_scale\":{\"id\":\"5692\",\"type\":\"LogScale\"}},\"id\":\"5684\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"dimension\":1,\"plot\":{\"id\":\"5684\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"5700\",\"type\":\"LogTicker\"}},\"id\":\"5703\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"5819\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"data_source\":{\"id\":\"5762\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"5763\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"5764\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"5766\",\"type\":\"CDSView\"}},\"id\":\"5765\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"5744\",\"type\":\"Selection\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5748\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"5820\",\"type\":\"Selection\"},{\"attributes\":{\"source\":{\"id\":\"5762\",\"type\":\"ColumnDataSource\"}},\"id\":\"5766\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"5692\",\"type\":\"LogScale\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"5798\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"5797\",\"type\":\"UnionRenderers\"}},\"id\":\"5762\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"ticker\":null},\"id\":\"5725\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"source\":{\"id\":\"5800\",\"type\":\"ColumnDataSource\"}},\"id\":\"5804\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"5709\",\"type\":\"HelpTool\"},{\"attributes\":{\"label\":{\"value\":\"1000.0\"},\"renderers\":[{\"id\":\"5803\",\"type\":\"GlyphRenderer\"}]},\"id\":\"5821\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"5778\",\"type\":\"Selection\"},{\"attributes\":{\"line_color\":\"#c6dbef\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5747\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"6062\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"label\":{\"value\":\"B_T\"},\"renderers\":[{\"id\":\"5722\",\"type\":\"GlyphRenderer\"}]},\"id\":\"5731\",\"type\":\"LegendItem\"},{\"attributes\":{\"label\":{\"value\":\"0.1\"},\"renderers\":[{\"id\":\"5735\",\"type\":\"GlyphRenderer\"}]},\"id\":\"5745\",\"type\":\"LegendItem\"},{\"attributes\":{\"label\":{\"value\":\"10.0\"},\"renderers\":[{\"id\":\"5765\",\"type\":\"GlyphRenderer\"}]},\"id\":\"5779\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"5690\",\"type\":\"LogScale\"},{\"attributes\":{},\"id\":\"6063\",\"type\":\"Selection\"},{\"attributes\":{\"callback\":null,\"end\":100000.0,\"start\":0.01},\"id\":\"5686\",\"type\":\"Range1d\"},{\"attributes\":{\"overlay\":{\"id\":\"5712\",\"type\":\"BoxAnnotation\"}},\"id\":\"5706\",\"type\":\"BoxZoomTool\"},{\"attributes\":{\"callback\":null,\"data\":{},\"selected\":{\"id\":\"5744\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"5743\",\"type\":\"UnionRenderers\"}},\"id\":\"5719\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"source\":{\"id\":\"5719\",\"type\":\"ColumnDataSource\"}},\"id\":\"5723\",\"type\":\"CDSView\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"5760\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"5759\",\"type\":\"UnionRenderers\"}},\"id\":\"5732\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"fill_color\":{\"value\":\"#ffffff\"},\"line_color\":{\"value\":\"#ffffff\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"5720\",\"type\":\"Circle\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5734\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"5820\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"5819\",\"type\":\"UnionRenderers\"}},\"id\":\"5780\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"data_source\":{\"id\":\"5719\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"5720\",\"type\":\"Circle\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"5721\",\"type\":\"Circle\"},\"selection_glyph\":null,\"view\":{\"id\":\"5723\",\"type\":\"CDSView\"}},\"id\":\"5722\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5764\",\"type\":\"Line\"},{\"attributes\":{\"line_color\":\"#6baed6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5781\",\"type\":\"Line\"},{\"attributes\":{\"label\":{\"value\":\"1.0\"},\"renderers\":[{\"id\":\"5749\",\"type\":\"GlyphRenderer\"}]},\"id\":\"5761\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"5704\",\"type\":\"PanTool\"},{\"attributes\":{\"callback\":null},\"id\":\"5688\",\"type\":\"DataRange1d\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5782\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"5760\",\"type\":\"Selection\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"5704\",\"type\":\"PanTool\"},{\"id\":\"5705\",\"type\":\"WheelZoomTool\"},{\"id\":\"5706\",\"type\":\"BoxZoomTool\"},{\"id\":\"5707\",\"type\":\"SaveTool\"},{\"id\":\"5708\",\"type\":\"ResetTool\"},{\"id\":\"5709\",\"type\":\"HelpTool\"}]},\"id\":\"5710\",\"type\":\"Toolbar\"},{\"attributes\":{\"data_source\":{\"id\":\"5780\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"5781\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"5782\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"5784\",\"type\":\"CDSView\"}},\"id\":\"5783\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"data_source\":{\"id\":\"5732\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"5733\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"5734\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"5736\",\"type\":\"CDSView\"}},\"id\":\"5735\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"source\":{\"id\":\"5780\",\"type\":\"ColumnDataSource\"}},\"id\":\"5784\",\"type\":\"CDSView\"},{\"attributes\":{\"source\":{\"id\":\"5732\",\"type\":\"ColumnDataSource\"}},\"id\":\"5736\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"5708\",\"type\":\"ResetTool\"},{\"attributes\":{},\"id\":\"5797\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"5778\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"5777\",\"type\":\"UnionRenderers\"}},\"id\":\"5746\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"5743\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"5798\",\"type\":\"Selection\"},{\"attributes\":{\"ticker\":null},\"id\":\"5727\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"plot\":null,\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"5712\",\"type\":\"BoxAnnotation\"},{\"attributes\":{\"label\":{\"value\":\"100.0\"},\"renderers\":[{\"id\":\"5783\",\"type\":\"GlyphRenderer\"}]},\"id\":\"5799\",\"type\":\"LegendItem\"},{\"attributes\":{\"line_color\":\"#9ecae1\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5763\",\"type\":\"Line\"},{\"attributes\":{\"items\":[{\"id\":\"5731\",\"type\":\"LegendItem\"},{\"id\":\"5745\",\"type\":\"LegendItem\"},{\"id\":\"5761\",\"type\":\"LegendItem\"},{\"id\":\"5779\",\"type\":\"LegendItem\"},{\"id\":\"5799\",\"type\":\"LegendItem\"},{\"id\":\"5821\",\"type\":\"LegendItem\"}],\"location\":\"bottom_right\",\"plot\":{\"id\":\"5684\",\"subtype\":\"Figure\",\"type\":\"Plot\"}},\"id\":\"5730\",\"type\":\"Legend\"},{\"attributes\":{\"plot\":null,\"text\":\"A vs. A_T for different values of B_T, in strong binding regime, Kd<<1\"},\"id\":\"5683\",\"type\":\"Title\"},{\"attributes\":{\"axis_label\":\"A_T\",\"formatter\":{\"id\":\"5727\",\"type\":\"LogTickFormatter\"},\"plot\":{\"id\":\"5684\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"5695\",\"type\":\"LogTicker\"}},\"id\":\"5694\",\"type\":\"LogAxis\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"6063\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"6062\",\"type\":\"UnionRenderers\"}},\"id\":\"5800\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"plot\":{\"id\":\"5684\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"5695\",\"type\":\"LogTicker\"}},\"id\":\"5698\",\"type\":\"Grid\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"5695\",\"type\":\"LogTicker\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"#1f77b4\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"#1f77b4\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"5721\",\"type\":\"Circle\"},{\"attributes\":{\"source\":{\"id\":\"5746\",\"type\":\"ColumnDataSource\"}},\"id\":\"5750\",\"type\":\"CDSView\"},{\"attributes\":{\"line_color\":\"#4292c6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5801\",\"type\":\"Line\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"5700\",\"type\":\"LogTicker\"},{\"attributes\":{},\"id\":\"5759\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5802\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"5777\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"axis_label\":\"A\",\"formatter\":{\"id\":\"5725\",\"type\":\"LogTickFormatter\"},\"plot\":{\"id\":\"5684\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"5700\",\"type\":\"LogTicker\"}},\"id\":\"5699\",\"type\":\"LogAxis\"},{\"attributes\":{\"line_color\":\"#deebf7\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"5733\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"5800\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"5801\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"5802\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"5804\",\"type\":\"CDSView\"}},\"id\":\"5803\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"data_source\":{\"id\":\"5746\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"5747\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"5748\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"5750\",\"type\":\"CDSView\"}},\"id\":\"5749\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"5705\",\"type\":\"WheelZoomTool\"},{\"attributes\":{},\"id\":\"5707\",\"type\":\"SaveTool\"}],\"root_ids\":[\"5684\"]},\"title\":\"Bokeh Application\",\"version\":\"1.0.4\"}};\n",
       "  var render_items = [{\"docid\":\"d86e00cd-b4f0-417d-b02d-aff3ec2014c8\",\"roots\":{\"5684\":\"d45722eb-9974-4f06-98f3-0e0dbe1b2634\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        embed_document(root);\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "      attempts++;\n",
       "      if (attempts > 100) {\n",
       "        console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "5684"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# array of A_total values\n",
    "AT = np.logspace(-2, 5, 1001)\n",
    "Kd = 0.001 \n",
    "BTvals = np.logspace(-1, 3, 5)\n",
    "\n",
    "# Decide on your color palette\n",
    "colors = bokeh.palettes.Blues9[3:8][::-1]\n",
    "\n",
    "p = bokeh.plotting.figure(width=450, height=300,\n",
    "                         x_axis_label='A_T', y_axis_label='A', \n",
    "                         x_axis_type=\"log\", y_axis_type=\"log\",\n",
    "                         title = \"A vs. A_T for different values of B_T, in strong binding regime, Kd<<1\",\n",
    "                         x_range=[AT.min(), AT.max()])\n",
    "\n",
    "# Loop through colors and BT values (nditer not necessary)\n",
    "A = np.zeros((BTvals.size, AT.size))\n",
    "p.circle(0, 0, size=0.00000001, color= \"#ffffff\", legend=\"B_T\")\n",
    "for i, (color, BT) in enumerate(zip(colors, BTvals)):\n",
    "   A0 = 0.5 * (AT-BT-Kd+np.sqrt((AT-BT-Kd)**2+4*AT*Kd))\n",
    "   A[i,:] = A0\n",
    "   p.line(AT, A0, line_width=2, color=color, legend=str(BT))\n",
    "    \n",
    "p.legend.location = \"bottom_right\"\n",
    "\n",
    "bokeh.io.show(p)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The key feature to notice here is that A goes through a very sharp transition from a low to a high value just as $A_T$ reaches $B_T$. \n",
    "\n",
    "Perhaps it is simpler to view this behavior on a linear axis:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-13T17:30:55.825567Z",
     "start_time": "2019-05-13T17:30:55.746380Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"9524bf1f-a5b6-4918-a9bd-b4f7f40d589c\" data-root-id=\"3663\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"e0211d75-332a-4bdf-80b7-b4c3171f6ae4\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"3673\",\"type\":\"LinearAxis\"}],\"left\":[{\"id\":\"3678\",\"type\":\"LinearAxis\"}],\"plot_height\":300,\"plot_width\":400,\"renderers\":[{\"id\":\"3673\",\"type\":\"LinearAxis\"},{\"id\":\"3677\",\"type\":\"Grid\"},{\"id\":\"3678\",\"type\":\"LinearAxis\"},{\"id\":\"3682\",\"type\":\"Grid\"},{\"id\":\"3691\",\"type\":\"BoxAnnotation\"},{\"id\":\"3709\",\"type\":\"Legend\"},{\"id\":\"3701\",\"type\":\"GlyphRenderer\"},{\"id\":\"3714\",\"type\":\"GlyphRenderer\"}],\"title\":{\"id\":\"3662\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"3689\",\"type\":\"Toolbar\"},\"x_range\":{\"id\":\"3665\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"3669\",\"type\":\"LinearScale\"},\"y_range\":{\"id\":\"3667\",\"type\":\"DataRange1d\"},\"y_scale\":{\"id\":\"3671\",\"type\":\"LinearScale\"}},\"id\":\"3663\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"data_source\":{\"id\":\"3711\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"3712\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"3713\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"3715\",\"type\":\"CDSView\"}},\"id\":\"3714\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"axis_label\":\"A\",\"formatter\":{\"id\":\"3704\",\"type\":\"BasicTickFormatter\"},\"plot\":{\"id\":\"3663\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"3679\",\"type\":\"BasicTicker\"}},\"id\":\"3678\",\"type\":\"LinearAxis\"},{\"attributes\":{\"source\":{\"id\":\"3711\",\"type\":\"ColumnDataSource\"}},\"id\":\"3715\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"3679\",\"type\":\"BasicTicker\"},{\"attributes\":{},\"id\":\"3722\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"dimension\":1,\"plot\":{\"id\":\"3663\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"3679\",\"type\":\"BasicTicker\"}},\"id\":\"3682\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"3723\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"100.0\"},\"renderers\":[{\"id\":\"3714\",\"type\":\"GlyphRenderer\"}]},\"id\":\"3724\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"3877\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"fill_color\":{\"value\":\"#ffffff\"},\"line_color\":{\"value\":\"#ffffff\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"3699\",\"type\":\"Circle\"},{\"attributes\":{},\"id\":\"3706\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"3878\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"3683\",\"type\":\"PanTool\"},{\"attributes\":{},\"id\":\"3674\",\"type\":\"BasicTicker\"},{\"attributes\":{},\"id\":\"3704\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"3684\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"axis_label\":\"A_T\",\"formatter\":{\"id\":\"3706\",\"type\":\"BasicTickFormatter\"},\"plot\":{\"id\":\"3663\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"3674\",\"type\":\"BasicTicker\"}},\"id\":\"3673\",\"type\":\"LinearAxis\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"#1f77b4\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"#1f77b4\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"3700\",\"type\":\"Circle\"},{\"attributes\":{\"overlay\":{\"id\":\"3691\",\"type\":\"BoxAnnotation\"}},\"id\":\"3685\",\"type\":\"BoxZoomTool\"},{\"attributes\":{},\"id\":\"3686\",\"type\":\"SaveTool\"},{\"attributes\":{},\"id\":\"3671\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"3687\",\"type\":\"ResetTool\"},{\"attributes\":{},\"id\":\"3669\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"3688\",\"type\":\"HelpTool\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"3683\",\"type\":\"PanTool\"},{\"id\":\"3684\",\"type\":\"WheelZoomTool\"},{\"id\":\"3685\",\"type\":\"BoxZoomTool\"},{\"id\":\"3686\",\"type\":\"SaveTool\"},{\"id\":\"3687\",\"type\":\"ResetTool\"},{\"id\":\"3688\",\"type\":\"HelpTool\"}]},\"id\":\"3689\",\"type\":\"Toolbar\"},{\"attributes\":{\"items\":[{\"id\":\"3710\",\"type\":\"LegendItem\"},{\"id\":\"3724\",\"type\":\"LegendItem\"}],\"location\":\"top_left\",\"plot\":{\"id\":\"3663\",\"subtype\":\"Figure\",\"type\":\"Plot\"}},\"id\":\"3709\",\"type\":\"Legend\"},{\"attributes\":{\"label\":{\"value\":\"B_T\"},\"renderers\":[{\"id\":\"3701\",\"type\":\"GlyphRenderer\"}]},\"id\":\"3710\",\"type\":\"LegendItem\"},{\"attributes\":{\"data_source\":{\"id\":\"3698\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"3699\",\"type\":\"Circle\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"3700\",\"type\":\"Circle\"},\"selection_glyph\":null,\"view\":{\"id\":\"3702\",\"type\":\"CDSView\"}},\"id\":\"3701\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"callback\":null,\"data\":{},\"selected\":{\"id\":\"3723\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"3722\",\"type\":\"UnionRenderers\"}},\"id\":\"3698\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"callback\":null},\"id\":\"3667\",\"type\":\"DataRange1d\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"plot\":null,\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"3691\",\"type\":\"BoxAnnotation\"},{\"attributes\":{\"plot\":{\"id\":\"3663\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"3674\",\"type\":\"BasicTicker\"}},\"id\":\"3677\",\"type\":\"Grid\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"3878\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"3877\",\"type\":\"UnionRenderers\"}},\"id\":\"3711\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"source\":{\"id\":\"3698\",\"type\":\"ColumnDataSource\"}},\"id\":\"3702\",\"type\":\"CDSView\"},{\"attributes\":{\"line_color\":\"#3182bd\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3712\",\"type\":\"Line\"},{\"attributes\":{\"plot\":null,\"text\":\"A vs. A_T\"},\"id\":\"3662\",\"type\":\"Title\"},{\"attributes\":{\"callback\":null,\"end\":200.0},\"id\":\"3665\",\"type\":\"Range1d\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3713\",\"type\":\"Line\"}],\"root_ids\":[\"3663\"]},\"title\":\"Bokeh Application\",\"version\":\"1.0.4\"}};\n",
       "  var render_items = [{\"docid\":\"e0211d75-332a-4bdf-80b7-b4c3171f6ae4\",\"roots\":{\"3663\":\"9524bf1f-a5b6-4918-a9bd-b4f7f40d589c\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        embed_document(root);\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "      attempts++;\n",
       "      if (attempts > 100) {\n",
       "        console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "3663"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# array of A_total values\n",
    "AT = np.linspace(0, 200, 1001)\n",
    "Kd = 0.001 \n",
    "BTvals = 100*np.ones(1)\n",
    "\n",
    "colors = bokeh.palettes.Blues3[::]\n",
    "\n",
    "p = bokeh.plotting.figure(width=400, height=300,\n",
    "                         x_axis_label='A_T', y_axis_label='A', \n",
    "                         x_axis_type=\"linear\", y_axis_type=\"linear\",\n",
    "                         title = \"A vs. A_T\",\n",
    "                         x_range=[AT.min(), AT.max()])\n",
    "\n",
    "# Loop through colors and BT values (nditer not necessary)\n",
    "A = np.zeros((BTvals.size, AT.size))\n",
    "p.circle(0, 0, size=0.00000001, color= \"#ffffff\", legend=\"B_T\")\n",
    "for i, (color, BT) in enumerate(zip(colors, BTvals)):\n",
    "   A0 = 0.5 * (AT-BT-Kd+np.sqrt((AT-BT-Kd)**2+4*AT*Kd))\n",
    "   A[i,:] = A0\n",
    "   p.line(AT, A0, line_width=2, color=color, legend=str(BT))\n",
    "    \n",
    "p.legend.location = \"top_left\"\n",
    "\n",
    "bokeh.io.show(p)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we see that $A$ is essentially 0 when $A_T < B_T$, and then increases linearly beyond that threshold, becoming approximately proportional to the difference $A_T-B_T$. This is called a **threshold-linear** relationship. \n",
    "\n",
    "So far, we have looked in the \"strong\" binding limit, $K_d<<1$. But any real system will have a finite rate of unbinding. It is therefore important to see how the system behaves across a range of $K_d$ values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-13T17:42:54.334265Z",
     "start_time": "2019-05-13T17:42:54.182109Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"914becf5-640a-41da-b6cc-29fe2d7796e0\" data-root-id=\"6173\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"9e014405-36b9-4f7b-be0b-f801e6cd9989\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"6183\",\"type\":\"LogAxis\"}],\"left\":[{\"id\":\"6188\",\"type\":\"LogAxis\"}],\"plot_height\":300,\"plot_width\":400,\"renderers\":[{\"id\":\"6183\",\"type\":\"LogAxis\"},{\"id\":\"6187\",\"type\":\"Grid\"},{\"id\":\"6188\",\"type\":\"LogAxis\"},{\"id\":\"6192\",\"type\":\"Grid\"},{\"id\":\"6201\",\"type\":\"BoxAnnotation\"},{\"id\":\"6219\",\"type\":\"Legend\"},{\"id\":\"6211\",\"type\":\"GlyphRenderer\"},{\"id\":\"6224\",\"type\":\"GlyphRenderer\"},{\"id\":\"6238\",\"type\":\"GlyphRenderer\"},{\"id\":\"6254\",\"type\":\"GlyphRenderer\"},{\"id\":\"6272\",\"type\":\"GlyphRenderer\"},{\"id\":\"6292\",\"type\":\"GlyphRenderer\"}],\"title\":{\"id\":\"6172\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"6199\",\"type\":\"Toolbar\"},\"x_range\":{\"id\":\"6175\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"6179\",\"type\":\"LogScale\"},\"y_range\":{\"id\":\"6177\",\"type\":\"DataRange1d\"},\"y_scale\":{\"id\":\"6181\",\"type\":\"LogScale\"}},\"id\":\"6173\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"line_color\":\"#4292c6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6290\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"6181\",\"type\":\"LogScale\"},{\"attributes\":{\"label\":{\"value\":\"K_d\"},\"renderers\":[{\"id\":\"6211\",\"type\":\"GlyphRenderer\"}]},\"id\":\"6220\",\"type\":\"LegendItem\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6291\",\"type\":\"Line\"},{\"attributes\":{\"axis_label\":\"A_T\",\"formatter\":{\"id\":\"6216\",\"type\":\"LogTickFormatter\"},\"plot\":{\"id\":\"6173\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"6184\",\"type\":\"LogTicker\"}},\"id\":\"6183\",\"type\":\"LogAxis\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"6287\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"6286\",\"type\":\"UnionRenderers\"}},\"id\":\"6251\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"data_source\":{\"id\":\"6289\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"6290\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"6291\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"6293\",\"type\":\"CDSView\"}},\"id\":\"6292\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"6184\",\"type\":\"LogTicker\"},{\"attributes\":{\"line_color\":\"#9ecae1\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6252\",\"type\":\"Line\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"6193\",\"type\":\"PanTool\"},{\"id\":\"6194\",\"type\":\"WheelZoomTool\"},{\"id\":\"6195\",\"type\":\"BoxZoomTool\"},{\"id\":\"6196\",\"type\":\"SaveTool\"},{\"id\":\"6197\",\"type\":\"ResetTool\"},{\"id\":\"6198\",\"type\":\"HelpTool\"}]},\"id\":\"6199\",\"type\":\"Toolbar\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"6249\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"6248\",\"type\":\"UnionRenderers\"}},\"id\":\"6221\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"source\":{\"id\":\"6289\",\"type\":\"ColumnDataSource\"}},\"id\":\"6293\",\"type\":\"CDSView\"},{\"attributes\":{\"plot\":{\"id\":\"6173\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"6184\",\"type\":\"LogTicker\"}},\"id\":\"6187\",\"type\":\"Grid\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6253\",\"type\":\"Line\"},{\"attributes\":{\"line_color\":\"#deebf7\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6222\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"6308\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"axis_label\":\"A\",\"formatter\":{\"id\":\"6214\",\"type\":\"LogTickFormatter\"},\"plot\":{\"id\":\"6173\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"6189\",\"type\":\"LogTicker\"}},\"id\":\"6188\",\"type\":\"LogAxis\"},{\"attributes\":{\"data_source\":{\"id\":\"6251\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"6252\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"6253\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"6255\",\"type\":\"CDSView\"}},\"id\":\"6254\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6223\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"data\":{},\"selected\":{\"id\":\"6233\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"6232\",\"type\":\"UnionRenderers\"}},\"id\":\"6208\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"6309\",\"type\":\"Selection\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"6189\",\"type\":\"LogTicker\"},{\"attributes\":{\"source\":{\"id\":\"6251\",\"type\":\"ColumnDataSource\"}},\"id\":\"6255\",\"type\":\"CDSView\"},{\"attributes\":{\"data_source\":{\"id\":\"6221\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"6222\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"6223\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"6225\",\"type\":\"CDSView\"}},\"id\":\"6224\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"label\":{\"value\":\"10.0\"},\"renderers\":[{\"id\":\"6292\",\"type\":\"GlyphRenderer\"}]},\"id\":\"6310\",\"type\":\"LegendItem\"},{\"attributes\":{\"dimension\":1,\"plot\":{\"id\":\"6173\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"6189\",\"type\":\"LogTicker\"}},\"id\":\"6192\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"6266\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"6179\",\"type\":\"LogScale\"},{\"attributes\":{\"source\":{\"id\":\"6221\",\"type\":\"ColumnDataSource\"}},\"id\":\"6225\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"6569\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"source\":{\"id\":\"6208\",\"type\":\"ColumnDataSource\"}},\"id\":\"6212\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"6267\",\"type\":\"Selection\"},{\"attributes\":{\"callback\":null},\"id\":\"6177\",\"type\":\"DataRange1d\"},{\"attributes\":{},\"id\":\"6233\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"6570\",\"type\":\"Selection\"},{\"attributes\":{\"data_source\":{\"id\":\"6208\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"6209\",\"type\":\"Circle\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"6210\",\"type\":\"Circle\"},\"selection_glyph\":null,\"view\":{\"id\":\"6212\",\"type\":\"CDSView\"}},\"id\":\"6211\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"label\":{\"value\":\"0.1\"},\"renderers\":[{\"id\":\"6254\",\"type\":\"GlyphRenderer\"}]},\"id\":\"6268\",\"type\":\"LegendItem\"},{\"attributes\":{\"label\":{\"value\":\"0.001\"},\"renderers\":[{\"id\":\"6224\",\"type\":\"GlyphRenderer\"}]},\"id\":\"6234\",\"type\":\"LegendItem\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"6309\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"6308\",\"type\":\"UnionRenderers\"}},\"id\":\"6269\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"6267\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"6266\",\"type\":\"UnionRenderers\"}},\"id\":\"6235\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"6193\",\"type\":\"PanTool\"},{\"attributes\":{\"callback\":null,\"end\":1000.0,\"start\":0.01},\"id\":\"6175\",\"type\":\"Range1d\"},{\"attributes\":{\"line_color\":\"#6baed6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6270\",\"type\":\"Line\"},{\"attributes\":{\"line_color\":\"#c6dbef\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6236\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"6194\",\"type\":\"WheelZoomTool\"},{\"attributes\":{},\"id\":\"6248\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6271\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"6237\",\"type\":\"Line\"},{\"attributes\":{\"overlay\":{\"id\":\"6201\",\"type\":\"BoxAnnotation\"}},\"id\":\"6195\",\"type\":\"BoxZoomTool\"},{\"attributes\":{\"label\":{\"value\":\"0.01\"},\"renderers\":[{\"id\":\"6238\",\"type\":\"GlyphRenderer\"}]},\"id\":\"6250\",\"type\":\"LegendItem\"},{\"attributes\":{\"data_source\":{\"id\":\"6269\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"6270\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"6271\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"6273\",\"type\":\"CDSView\"}},\"id\":\"6272\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"data_source\":{\"id\":\"6235\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"6236\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"6237\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"6239\",\"type\":\"CDSView\"}},\"id\":\"6238\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"fill_color\":{\"value\":\"#ffffff\"},\"line_color\":{\"value\":\"#ffffff\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"6209\",\"type\":\"Circle\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"plot\":null,\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"6201\",\"type\":\"BoxAnnotation\"},{\"attributes\":{},\"id\":\"6196\",\"type\":\"SaveTool\"},{\"attributes\":{\"source\":{\"id\":\"6269\",\"type\":\"ColumnDataSource\"}},\"id\":\"6273\",\"type\":\"CDSView\"},{\"attributes\":{\"source\":{\"id\":\"6235\",\"type\":\"ColumnDataSource\"}},\"id\":\"6239\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"6197\",\"type\":\"ResetTool\"},{\"attributes\":{},\"id\":\"6232\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"6286\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"6198\",\"type\":\"HelpTool\"},{\"attributes\":{},\"id\":\"6287\",\"type\":\"Selection\"},{\"attributes\":{\"ticker\":null},\"id\":\"6214\",\"type\":\"LogTickFormatter\"},{\"attributes\":{},\"id\":\"6249\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"1.0\"},\"renderers\":[{\"id\":\"6272\",\"type\":\"GlyphRenderer\"}]},\"id\":\"6288\",\"type\":\"LegendItem\"},{\"attributes\":{\"plot\":null,\"text\":\"A vs. A_T for different values of Kd, B_T=1\"},\"id\":\"6172\",\"type\":\"Title\"},{\"attributes\":{\"ticker\":null},\"id\":\"6216\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"6570\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"6569\",\"type\":\"UnionRenderers\"}},\"id\":\"6289\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"#1f77b4\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"#1f77b4\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"6210\",\"type\":\"Circle\"},{\"attributes\":{\"items\":[{\"id\":\"6220\",\"type\":\"LegendItem\"},{\"id\":\"6234\",\"type\":\"LegendItem\"},{\"id\":\"6250\",\"type\":\"LegendItem\"},{\"id\":\"6268\",\"type\":\"LegendItem\"},{\"id\":\"6288\",\"type\":\"LegendItem\"},{\"id\":\"6310\",\"type\":\"LegendItem\"}],\"location\":\"bottom_right\",\"plot\":{\"id\":\"6173\",\"subtype\":\"Figure\",\"type\":\"Plot\"}},\"id\":\"6219\",\"type\":\"Legend\"}],\"root_ids\":[\"6173\"]},\"title\":\"Bokeh Application\",\"version\":\"1.0.4\"}};\n",
       "  var render_items = [{\"docid\":\"9e014405-36b9-4f7b-be0b-f801e6cd9989\",\"roots\":{\"6173\":\"914becf5-640a-41da-b6cc-29fe2d7796e0\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        embed_document(root);\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "      attempts++;\n",
       "      if (attempts > 100) {\n",
       "        console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "6173"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# array of A_total values\n",
    "AT = np.logspace(-2, 3, 1001)\n",
    "BT = 1\n",
    "Kdvals = np.logspace(-3, 1, 5)\n",
    "\n",
    "# Decide on your color palette\n",
    "colors = bokeh.palettes.Blues9[3:8][::-1]\n",
    "\n",
    "p = bokeh.plotting.figure(width=400, height=300,\n",
    "                         x_axis_label='A_T', y_axis_label='A', \n",
    "                         x_axis_type=\"log\", y_axis_type=\"log\",\n",
    "                         title = \"A vs. A_T for different values of Kd, B_T=1\",\n",
    "                         x_range=[AT.min(), AT.max()])\n",
    "\n",
    "\n",
    "# Loop through colors and BT values (nditer not necessary)\n",
    "A = np.zeros((Kdvals.size, AT.size))\n",
    "p.circle(0, 0, size=0.00000001, color= \"#ffffff\", legend=\"K_d\")\n",
    "for i, (color, Kd) in enumerate(zip(colors, Kdvals)):\n",
    "   A0 = 0.5 * (AT-BT-Kd+np.sqrt((AT-BT-Kd)**2+4*AT*Kd))\n",
    "   A[i,:] = A0\n",
    "   p.line(AT, A0, line_width=2, color=color, legend=str(Kd))\n",
    "    \n",
    "p.legend.location = \"bottom_right\"\n",
    "bokeh.io.show(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On a linear scale, zooming in around the transition point, we can see that weaker binding \"softens\" the transition from flat to linear behavior:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-13T17:30:56.147843Z",
     "start_time": "2019-05-13T17:30:55.960097Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"ba3fde11-5e0d-4259-9169-8070a6ec1d86\" data-root-id=\"4359\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"cb7f98cd-ab12-4fd8-9a67-f359d3de5ba8\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"4369\",\"type\":\"LinearAxis\"}],\"left\":[{\"id\":\"4374\",\"type\":\"LinearAxis\"}],\"plot_height\":300,\"plot_width\":400,\"renderers\":[{\"id\":\"4369\",\"type\":\"LinearAxis\"},{\"id\":\"4373\",\"type\":\"Grid\"},{\"id\":\"4374\",\"type\":\"LinearAxis\"},{\"id\":\"4378\",\"type\":\"Grid\"},{\"id\":\"4387\",\"type\":\"BoxAnnotation\"},{\"id\":\"4405\",\"type\":\"Legend\"},{\"id\":\"4397\",\"type\":\"GlyphRenderer\"},{\"id\":\"4410\",\"type\":\"GlyphRenderer\"},{\"id\":\"4424\",\"type\":\"GlyphRenderer\"},{\"id\":\"4440\",\"type\":\"GlyphRenderer\"},{\"id\":\"4458\",\"type\":\"GlyphRenderer\"}],\"title\":{\"id\":\"4358\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"4385\",\"type\":\"Toolbar\"},\"x_range\":{\"id\":\"4361\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"4365\",\"type\":\"LinearScale\"},\"y_range\":{\"id\":\"4363\",\"type\":\"DataRange1d\"},\"y_scale\":{\"id\":\"4367\",\"type\":\"LinearScale\"}},\"id\":\"4359\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{},\"id\":\"4472\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"source\":{\"id\":\"4421\",\"type\":\"ColumnDataSource\"}},\"id\":\"4425\",\"type\":\"CDSView\"},{\"attributes\":{\"plot\":null,\"text\":\"A vs. A_T for different K_d values\"},\"id\":\"4358\",\"type\":\"Title\"},{\"attributes\":{},\"id\":\"4384\",\"type\":\"HelpTool\"},{\"attributes\":{},\"id\":\"4473\",\"type\":\"Selection\"},{\"attributes\":{\"callback\":null,\"end\":150.0,\"start\":50.0},\"id\":\"4361\",\"type\":\"Range1d\"},{\"attributes\":{},\"id\":\"4434\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"4379\",\"type\":\"PanTool\"},{\"id\":\"4380\",\"type\":\"WheelZoomTool\"},{\"id\":\"4381\",\"type\":\"BoxZoomTool\"},{\"id\":\"4382\",\"type\":\"SaveTool\"},{\"id\":\"4383\",\"type\":\"ResetTool\"},{\"id\":\"4384\",\"type\":\"HelpTool\"}]},\"id\":\"4385\",\"type\":\"Toolbar\"},{\"attributes\":{\"label\":{\"value\":\"1.0\"},\"renderers\":[{\"id\":\"4458\",\"type\":\"GlyphRenderer\"}]},\"id\":\"4474\",\"type\":\"LegendItem\"},{\"attributes\":{\"callback\":null},\"id\":\"4363\",\"type\":\"DataRange1d\"},{\"attributes\":{},\"id\":\"4435\",\"type\":\"Selection\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"plot\":null,\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"4387\",\"type\":\"BoxAnnotation\"},{\"attributes\":{},\"id\":\"4365\",\"type\":\"LinearScale\"},{\"attributes\":{\"label\":{\"value\":\"0.1\"},\"renderers\":[{\"id\":\"4424\",\"type\":\"GlyphRenderer\"}]},\"id\":\"4436\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"4661\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"4662\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"4367\",\"type\":\"LinearScale\"},{\"attributes\":{\"fill_color\":{\"value\":\"#ffffff\"},\"line_color\":{\"value\":\"#ffffff\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"4395\",\"type\":\"Circle\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"4473\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"4472\",\"type\":\"UnionRenderers\"}},\"id\":\"4437\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"axis_label\":\"A_T\",\"formatter\":{\"id\":\"4402\",\"type\":\"BasicTickFormatter\"},\"plot\":{\"id\":\"4359\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"4370\",\"type\":\"BasicTicker\"}},\"id\":\"4369\",\"type\":\"LinearAxis\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"AAAAAAAASUDNzMzMzAxJQJqZmZmZGUlAZmZmZmYmSUAzMzMzMzNJQAAAAAAAQElAzczMzMxMSUCamZmZmVlJQGZmZmZmZklAMzMzMzNzSUAAAAAAAIBJQM3MzMzMjElAmpmZmZmZSUBmZmZmZqZJQDMzMzMzs0lAAAAAAADASUDNzMzMzMxJQJqZmZmZ2UlAZmZmZmbmSUAzMzMzM/NJQAAAAAAAAEpAzczMzMwMSkCamZmZmRlKQGZmZmZmJkpAMzMzMzMzSkAAAAAAAEBKQM3MzMzMTEpAmpmZmZlZSkBmZmZmZmZKQDMzMzMzc0pAAAAAAACASkDNzMzMzIxKQJqZmZmZmUpAZmZmZmamSkAzMzMzM7NKQAAAAAAAwEpAzczMzMzMSkCamZmZmdlKQGZmZmZm5kpAMzMzMzPzSkAAAAAAAABLQM3MzMzMDEtAmpmZmZkZS0BmZmZmZiZLQDMzMzMzM0tAAAAAAABAS0DNzMzMzExLQJqZmZmZWUtAZmZmZmZmS0AzMzMzM3NLQAAAAAAAgEtAzczMzMyMS0CamZmZmZlLQGZmZmZmpktAMzMzMzOzS0AAAAAAAMBLQM3MzMzMzEtAmpmZmZnZS0BmZmZmZuZLQDMzMzMz80tAAAAAAAAATEDNzMzMzAxMQJqZmZmZGUxAZmZmZmYmTEAzMzMzMzNMQAAAAAAAQExAzczMzMxMTECamZmZmVlMQGZmZmZmZkxAMzMzMzNzTEAAAAAAAIBMQM3MzMzMjExAmpmZmZmZTEBmZmZmZqZMQDMzMzMzs0xAAAAAAADATEDNzMzMzMxMQJqZmZmZ2UxAZmZmZmbmTEAzMzMzM/NMQAAAAAAAAE1AzczMzMwMTUCamZmZmRlNQGZmZmZmJk1AMzMzMzMzTUAAAAAAAEBNQM3MzMzMTE1AmpmZmZlZTUBmZmZmZmZNQDMzMzMzc01AAAAAAACATUDNzMzMzIxNQJqZmZmZmU1AZmZmZmamTUAzMzMzM7NNQAAAAAAAwE1AzczMzMzMTUCamZmZmdlNQGZmZmZm5k1AMzMzMzPzTUAAAAAAAABOQM3MzMzMDE5AmpmZmZkZTkBmZmZmZiZOQDMzMzMzM05AAAAAAABATkDNzMzMzExOQJqZmZmZWU5AZmZmZmZmTkAzMzMzM3NOQAAAAAAAgE5AzczMzMyMTkCamZmZmZlOQGZmZmZmpk5AMzMzMzOzTkAAAAAAAMBOQM3MzMzMzE5AmpmZmZnZTkBmZmZmZuZOQDMzMzMz805AAAAAAAAAT0DNzMzMzAxPQJqZmZmZGU9AZmZmZmYmT0AzMzMzMzNPQAAAAAAAQE9AzczMzMxMT0CamZmZmVlPQGZmZmZmZk9AMzMzMzNzT0AAAAAAAIBPQM3MzMzMjE9AmpmZmZmZT0BmZmZmZqZPQDMzMzMzs09AAAAAAADAT0DNzMzMzMxPQJqZmZmZ2U9AZmZmZmbmT0AzMzMzM/NPQAAAAAAAAFBAZmZmZmYGUEDNzMzMzAxQQDMzMzMzE1BAmpmZmZkZUEAAAAAAACBQQGZmZmZmJlBAzczMzMwsUEAzMzMzMzNQQJqZmZmZOVBAAAAAAABAUEBmZmZmZkZQQM3MzMzMTFBAMzMzMzNTUECamZmZmVlQQAAAAAAAYFBAZmZmZmZmUEDNzMzMzGxQQDMzMzMzc1BAmpmZmZl5UEAAAAAAAIBQQGZmZmZmhlBAzczMzMyMUEAzMzMzM5NQQJqZmZmZmVBAAAAAAACgUEBmZmZmZqZQQM3MzMzMrFBAMzMzMzOzUECamZmZmblQQAAAAAAAwFBAZmZmZmbGUEDNzMzMzMxQQDMzMzMz01BAmpmZmZnZUEAAAAAAAOBQQGZmZmZm5lBAzczMzMzsUEAzMzMzM/NQQJqZmZmZ+VBAAAAAAAAAUUBmZmZmZgZRQM3MzMzMDFFAMzMzMzMTUUCamZmZmRlRQAAAAAAAIFFAZmZmZmYmUUDNzMzMzCxRQDMzMzMzM1FAmpmZmZk5UUAAAAAAAEBRQGZmZmZmRlFAzczMzMxMUUAzMzMzM1NRQJqZmZmZWVFAAAAAAABgUUBmZmZmZmZRQM3MzMzMbFFAMzMzMzNzUUCamZmZmXlRQAAAAAAAgFFAZmZmZmaGUUDNzMzMzIxRQDMzMzMzk1FAmpmZmZmZUUAAAAAAAKBRQGZmZmZmplFAzczMzMysUUAzMzMzM7NRQJqZmZmZuVFAAAAAAADAUUBmZmZmZsZRQM3MzMzMzFFAMzMzMzPTUUCamZmZmdlRQAAAAAAA4FFAZmZmZmbmUUDNzMzMzOxRQDMzMzMz81FAmpmZmZn5UUAAAAAAAABSQGZmZmZmBlJAzczMzMwMUkAzMzMzMxNSQJqZmZmZGVJAAAAAAAAgUkBmZmZmZiZSQM3MzMzMLFJAMzMzMzMzUkCamZmZmTlSQAAAAAAAQFJAZmZmZmZGUkDNzMzMzExSQDMzMzMzU1JAmpmZmZlZUkAAAAAAAGBSQGZmZmZmZlJAzczMzMxsUkAzMzMzM3NSQJqZmZmZeVJAAAAAAACAUkBmZmZmZoZSQM3MzMzMjFJAMzMzMzOTUkCamZmZmZlSQAAAAAAAoFJAZmZmZmamUkDNzMzMzKxSQDMzMzMzs1JAmpmZmZm5UkAAAAAAAMBSQGZmZmZmxlJAzczMzMzMUkAzMzMzM9NSQJqZmZmZ2VJAAAAAAADgUkBmZmZmZuZSQM3MzMzM7FJAMzMzMzPzUkCamZmZmflSQAAAAAAAAFNAZmZmZmYGU0DNzMzMzAxTQDMzMzMzE1NAmpmZmZkZU0AAAAAAACBTQGZmZmZmJlNAzczMzMwsU0AzMzMzMzNTQJqZmZmZOVNAAAAAAABAU0BmZmZmZkZTQM3MzMzMTFNAMzMzMzNTU0CamZmZmVlTQAAAAAAAYFNAZmZmZmZmU0DNzMzMzGxTQDMzMzMzc1NAmpmZmZl5U0AAAAAAAIBTQGZmZmZmhlNAzczMzMyMU0AzMzMzM5NTQJqZmZmZmVNAAAAAAACgU0BmZmZmZqZTQM3MzMzMrFNAMzMzMzOzU0CamZmZmblTQAAAAAAAwFNAZmZmZmbGU0DNzMzMzMxTQDMzMzMz01NAmpmZmZnZU0AAAAAAAOBTQGZmZmZm5lNAzczMzMzsU0AzMzMzM/NTQJqZmZmZ+VNAAAAAAAAAVEBmZmZmZgZUQM3MzMzMDFRAMzMzMzMTVECamZmZmRlUQAAAAAAAIFRAZmZmZmYmVEDNzMzMzCxUQDMzMzMzM1RAmpmZmZk5VEAAAAAAAEBUQGZmZmZmRlRAzczMzMxMVEAzMzMzM1NUQJqZmZmZWVRAAAAAAABgVEBmZmZmZmZUQM3MzMzMbFRAMzMzMzNzVECamZmZmXlUQAAAAAAAgFRAZmZmZmaGVEDNzMzMzIxUQDQzMzMzk1RAmpmZmZmZVEAAAAAAAKBUQGZmZmZmplRAzczMzMysVEA0MzMzM7NUQJqZmZmZuVRAAAAAAADAVEBmZmZmZsZUQM3MzMzMzFRANDMzMzPTVECamZmZmdlUQAAAAAAA4FRAZmZmZmbmVEDNzMzMzOxUQDQzMzMz81RAmpmZmZn5VEAAAAAAAABVQGZmZmZmBlVAzczMzMwMVUA0MzMzMxNVQJqZmZmZGVVAAAAAAAAgVUBmZmZmZiZVQM3MzMzMLFVANDMzMzMzVUCamZmZmTlVQAAAAAAAQFVAZmZmZmZGVUDNzMzMzExVQDQzMzMzU1VAmpmZmZlZVUAAAAAAAGBVQGZmZmZmZlVAzczMzMxsVUA0MzMzM3NVQJqZmZmZeVVAAAAAAACAVUBmZmZmZoZVQM3MzMzMjFVANDMzMzOTVUCamZmZmZlVQAAAAAAAoFVAZmZmZmamVUDNzMzMzKxVQDQzMzMzs1VAmpmZmZm5VUAAAAAAAMBVQGZmZmZmxlVAzczMzMzMVUA0MzMzM9NVQJqZmZmZ2VVAAAAAAADgVUBmZmZmZuZVQM3MzMzM7FVANDMzMzPzVUCamZmZmflVQAAAAAAAAFZAZmZmZmYGVkDNzMzMzAxWQDQzMzMzE1ZAmpmZmZkZVkAAAAAAACBWQGZmZmZmJlZAzczMzMwsVkA0MzMzMzNWQJqZmZmZOVZAAAAAAABAVkBmZmZmZkZWQM3MzMzMTFZANDMzMzNTVkCamZmZmVlWQAAAAAAAYFZAZmZmZmZmVkDNzMzMzGxWQDQzMzMzc1ZAmpmZmZl5VkAAAAAAAIBWQGZmZmZmhlZAzczMzMyMVkA0MzMzM5NWQJqZmZmZmVZAAAAAAACgVkBmZmZmZqZWQM3MzMzMrFZANDMzMzOzVkCamZmZmblWQAAAAAAAwFZAZmZmZmbGVkDNzMzMzMxWQDQzMzMz01ZAmpmZmZnZVkAAAAAAAOBWQGZmZmZm5lZAzczMzMzsVkA0MzMzM/NWQJqZmZmZ+VZAAAAAAAAAV0BmZmZmZgZXQM3MzMzMDFdANDMzMzMTV0CamZmZmRlXQAAAAAAAIFdAZmZmZmYmV0DNzMzMzCxXQDQzMzMzM1dAmpmZmZk5V0AAAAAAAEBXQGZmZmZmRldAzczMzMxMV0A0MzMzM1NXQJqZmZmZWVdAAAAAAABgV0BmZmZmZmZXQM3MzMzMbFdANDMzMzNzV0CamZmZmXlXQAAAAAAAgFdAZmZmZmaGV0DNzMzMzIxXQDQzMzMzk1dAmpmZmZmZV0AAAAAAAKBXQGZmZmZmpldAzczMzMysV0A0MzMzM7NXQJqZmZmZuVdAAAAAAADAV0BmZmZmZsZXQM3MzMzMzFdANDMzMzPTV0CamZmZmdlXQAAAAAAA4FdAZmZmZmbmV0DNzMzMzOxXQDQzMzMz81dAmpmZmZn5V0AAAAAAAABYQGZmZmZmBlhAzczMzMwMWEA0MzMzMxNYQJqZmZmZGVhAAAAAAAAgWEBmZmZmZiZYQM3MzMzMLFhANDMzMzMzWECamZmZmTlYQAAAAAAAQFhAZmZmZmZGWEDNzMzMzExYQDQzMzMzU1hAmpmZmZlZWEAAAAAAAGBYQGZmZmZmZlhAzczMzMxsWEA0MzMzM3NYQJqZmZmZeVhAAAAAAACAWEBmZmZmZoZYQM3MzMzMjFhANDMzMzOTWECamZmZmZlYQAAAAAAAoFhAZmZmZmamWEDNzMzMzKxYQDQzMzMzs1hAmpmZmZm5WEAAAAAAAMBYQGZmZmZmxlhAzczMzMzMWEA0MzMzM9NYQJqZmZmZ2VhAAAAAAADgWEBmZmZmZuZYQM3MzMzM7FhANDMzMzPzWECamZmZmflYQAAAAAAAAFlAZmZmZmYGWUDNzMzMzAxZQDQzMzMzE1lAmpmZmZkZWUAAAAAAACBZQGZmZmZmJllAzczMzMwsWUA0MzMzMzNZQJqZmZmZOVlAAAAAAABAWUBmZmZmZkZZQM3MzMzMTFlANDMzMzNTWUCamZmZmVlZQAAAAAAAYFlAZmZmZmZmWUDNzMzMzGxZQDQzMzMzc1lAmpmZmZl5WUAAAAAAAIBZQGZmZmZmhllAzczMzMyMWUA0MzMzM5NZQJqZmZmZmVlAAAAAAACgWUBmZmZmZqZZQM3MzMzMrFlANDMzMzOzWUCamZmZmblZQAAAAAAAwFlAZmZmZmbGWUDNzMzMzMxZQDQzMzMz01lAmpmZmZnZWUAAAAAAAOBZQGZmZmZm5llAzczMzMzsWUA0MzMzM/NZQJqZmZmZ+VlAAAAAAAAAWkBmZmZmZgZaQM3MzMzMDFpANDMzMzMTWkCamZmZmRlaQAAAAAAAIFpAZmZmZmYmWkDNzMzMzCxaQDQzMzMzM1pAmpmZmZk5WkAAAAAAAEBaQGZmZmZmRlpAzczMzMxMWkA0MzMzM1NaQJqZmZmZWVpAAAAAAABgWkBmZmZmZmZaQM3MzMzMbFpANDMzMzNzWkCamZmZmXlaQAAAAAAAgFpAZmZmZmaGWkDNzMzMzIxaQDQzMzMzk1pAmpmZmZmZWkAAAAAAAKBaQGZmZmZmplpAzczMzMysWkA0MzMzM7NaQJqZmZmZuVpAAAAAAADAWkBmZmZmZsZaQM3MzMzMzFpANDMzMzPTWkCamZmZmdlaQAAAAAAA4FpAZmZmZmbmWkDNzMzMzOxaQDQzMzMz81pAmpmZmZn5WkAAAAAAAABbQGZmZmZmBltAzczMzMwMW0A0MzMzMxNbQJqZmZmZGVtAAAAAAAAgW0BmZmZmZiZbQM3MzMzMLFtANDMzMzMzW0CamZmZmTlbQAAAAAAAQFtAZmZmZmZGW0DNzMzMzExbQDQzMzMzU1tAmpmZmZlZW0AAAAAAAGBbQGZmZmZmZltAzczMzMxsW0A0MzMzM3NbQJqZmZmZeVtAAAAAAACAW0BmZmZmZoZbQM3MzMzMjFtANDMzMzOTW0CamZmZmZlbQAAAAAAAoFtAZmZmZmamW0DNzMzMzKxbQDQzMzMzs1tAmpmZmZm5W0AAAAAAAMBbQGZmZmZmxltAzczMzMzMW0A0MzMzM9NbQJqZmZmZ2VtAAAAAAADgW0BmZmZmZuZbQM3MzMzM7FtANDMzMzPzW0CamZmZmflbQAAAAAAAAFxAZmZmZmYGXEDNzMzMzAxcQDQzMzMzE1xAmpmZmZkZXEAAAAAAACBcQGZmZmZmJlxAzczMzMwsXEA0MzMzMzNcQJqZmZmZOVxAAAAAAABAXEBmZmZmZkZcQM3MzMzMTFxANDMzMzNTXECamZmZmVlcQAAAAAAAYFxAZmZmZmZmXEDNzMzMzGxcQDQzMzMzc1xAmpmZmZl5XEAAAAAAAIBcQGdmZmZmhlxAzczMzMyMXEAzMzMzM5NcQJqZmZmZmVxAAAAAAACgXEBnZmZmZqZcQM3MzMzMrFxAMzMzMzOzXECamZmZmblcQAAAAAAAwFxAZ2ZmZmbGXEDNzMzMzMxcQDMzMzMz01xAmpmZmZnZXEAAAAAAAOBcQGdmZmZm5lxAzczMzMzsXEAzMzMzM/NcQJqZmZmZ+VxAAAAAAAAAXUBnZmZmZgZdQM3MzMzMDF1AMzMzMzMTXUCamZmZmRldQAAAAAAAIF1AZ2ZmZmYmXUDNzMzMzCxdQDMzMzMzM11AmpmZmZk5XUAAAAAAAEBdQGdmZmZmRl1AzczMzMxMXUAzMzMzM1NdQJqZmZmZWV1AAAAAAABgXUBnZmZmZmZdQM3MzMzMbF1AMzMzMzNzXUCamZmZmXldQAAAAAAAgF1AZ2ZmZmaGXUDNzMzMzIxdQDMzMzMzk11AmpmZmZmZXUAAAAAAAKBdQGdmZmZmpl1AzczMzMysXUAzMzMzM7NdQJqZmZmZuV1AAAAAAADAXUBnZmZmZsZdQM3MzMzMzF1AMzMzMzPTXUCamZmZmdldQAAAAAAA4F1AZ2ZmZmbmXUDNzMzMzOxdQDMzMzMz811AmpmZmZn5XUAAAAAAAABeQGdmZmZmBl5AzczMzMwMXkAzMzMzMxNeQJqZmZmZGV5AAAAAAAAgXkBnZmZmZiZeQM3MzMzMLF5AMzMzMzMzXkCamZmZmTleQAAAAAAAQF5AZ2ZmZmZGXkDNzMzMzExeQDMzMzMzU15AmpmZmZlZXkAAAAAAAGBeQGdmZmZmZl5AzczMzMxsXkAzMzMzM3NeQJqZmZmZeV5AAAAAAACAXkBnZmZmZoZeQM3MzMzMjF5AMzMzMzOTXkCamZmZmZleQAAAAAAAoF5AZ2ZmZmamXkDNzMzMzKxeQDMzMzMzs15AmpmZmZm5XkAAAAAAAMBeQGdmZmZmxl5AzczMzMzMXkAzMzMzM9NeQJqZmZmZ2V5AAAAAAADgXkBnZmZmZuZeQM3MzMzM7F5AMzMzMzPzXkCamZmZmfleQAAAAAAAAF9AZ2ZmZmYGX0DNzMzMzAxfQDMzMzMzE19AmpmZmZkZX0AAAAAAACBfQGdmZmZmJl9AzczMzMwsX0AzMzMzMzNfQJqZmZmZOV9AAAAAAABAX0BnZmZmZkZfQM3MzMzMTF9AMzMzMzNTX0CamZmZmVlfQAAAAAAAYF9AZ2ZmZmZmX0DNzMzMzGxfQDMzMzMzc19AmpmZmZl5X0AAAAAAAIBfQGdmZmZmhl9AzczMzMyMX0AzMzMzM5NfQJqZmZmZmV9AAAAAAACgX0BnZmZmZqZfQM3MzMzMrF9ANDMzMzOzX0CamZmZmblfQAAAAAAAwF9AZ2ZmZmbGX0DNzMzMzMxfQDQzMzMz019AmpmZmZnZX0AAAAAAAOBfQGdmZmZm5l9AzczMzMzsX0A0MzMzM/NfQJqZmZmZ+V9AAAAAAAAAYEA0MzMzMwNgQGZmZmZmBmBAmpmZmZkJYEDNzMzMzAxgQAAAAAAAEGBANDMzMzMTYEBmZmZmZhZgQJqZmZmZGWBAzczMzMwcYEAAAAAAACBgQDQzMzMzI2BAZmZmZmYmYECamZmZmSlgQM3MzMzMLGBAAAAAAAAwYEA0MzMzMzNgQGZmZmZmNmBAmpmZmZk5YEDNzMzMzDxgQAAAAAAAQGBANDMzMzNDYEBmZmZmZkZgQJqZmZmZSWBAzczMzMxMYEAAAAAAAFBgQDQzMzMzU2BAZmZmZmZWYECamZmZmVlgQM3MzMzMXGBAAAAAAABgYEA0MzMzM2NgQGZmZmZmZmBAmpmZmZlpYEDNzMzMzGxgQAAAAAAAcGBANDMzMzNzYEBmZmZmZnZgQJqZmZmZeWBAzczMzMx8YEAAAAAAAIBgQDQzMzMzg2BAZmZmZmaGYECamZmZmYlgQM3MzMzMjGBAAAAAAACQYEA0MzMzM5NgQGZmZmZmlmBAmpmZmZmZYEDNzMzMzJxgQAAAAAAAoGBANDMzMzOjYEBmZmZmZqZgQJqZmZmZqWBAzczMzMysYEAAAAAAALBgQDQzMzMzs2BAZmZmZma2YECamZmZmblgQM3MzMzMvGBAAAAAAADAYEA0MzMzM8NgQGZmZmZmxmBAmpmZmZnJYEDNzMzMzMxgQAAAAAAA0GBANDMzMzPTYEBmZmZmZtZgQJqZmZmZ2WBAzczMzMzcYEAAAAAAAOBgQDQzMzMz42BAZmZmZmbmYECamZmZmelgQM3MzMzM7GBAAAAAAADwYEA0MzMzM/NgQGZmZmZm9mBAmpmZmZn5YEDNzMzMzPxgQAAAAAAAAGFANDMzMzMDYUBmZmZmZgZhQJqZmZmZCWFAzczMzMwMYUAAAAAAABBhQDQzMzMzE2FAZmZmZmYWYUCamZmZmRlhQM3MzMzMHGFAAAAAAAAgYUA0MzMzMyNhQGZmZmZmJmFAmpmZmZkpYUDNzMzMzCxhQAAAAAAAMGFANDMzMzMzYUBmZmZmZjZhQJqZmZmZOWFAzczMzMw8YUAAAAAAAEBhQDQzMzMzQ2FAZmZmZmZGYUCamZmZmUlhQM3MzMzMTGFAAAAAAABQYUA0MzMzM1NhQGZmZmZmVmFAmpmZmZlZYUDNzMzMzFxhQAAAAAAAYGFANDMzMzNjYUBmZmZmZmZhQJqZmZmZaWFAzczMzMxsYUAAAAAAAHBhQDQzMzMzc2FAZmZmZmZ2YUCamZmZmXlhQM3MzMzMfGFAAAAAAACAYUA0MzMzM4NhQGZmZmZmhmFAmpmZmZmJYUDNzMzMzIxhQAAAAAAAkGFANDMzMzOTYUBmZmZmZpZhQJqZmZmZmWFAzczMzMycYUAAAAAAAKBhQDQzMzMzo2FAZmZmZmamYUCamZmZmalhQM3MzMzMrGFAAAAAAACwYUA0MzMzM7NhQGZmZmZmtmFAmpmZmZm5YUDNzMzMzLxhQAAAAAAAwGFANDMzMzPDYUBmZmZmZsZhQJqZmZmZyWFAzczMzMzMYUAAAAAAANBhQDQzMzMz02FAZmZmZmbWYUCamZmZmdlhQM3MzMzM3GFAAAAAAADgYUA0MzMzM+NhQGZmZmZm5mFAmpmZmZnpYUDNzMzMzOxhQAAAAAAA8GFANDMzMzPzYUBmZmZmZvZhQJqZmZmZ+WFAzczMzMz8YUAAAAAAAABiQDQzMzMzA2JAZmZmZmYGYkCamZmZmQliQM3MzMzMDGJAAAAAAAAQYkA0MzMzMxNiQGZmZmZmFmJAmpmZmZkZYkDNzMzMzBxiQAAAAAAAIGJANDMzMzMjYkBmZmZmZiZiQJqZmZmZKWJAzczMzMwsYkAAAAAAADBiQDQzMzMzM2JAZmZmZmY2YkCamZmZmTliQM3MzMzMPGJAAAAAAABAYkA0MzMzM0NiQGZmZmZmRmJAmpmZmZlJYkDNzMzMzExiQAAAAAAAUGJANDMzMzNTYkBmZmZmZlZiQJqZmZmZWWJAzczMzMxcYkAAAAAAAGBiQDQzMzMzY2JAZmZmZmZmYkCamZmZmWliQM3MzMzMbGJAAAAAAABwYkA0MzMzM3NiQGZmZmZmdmJAmpmZmZl5YkDNzMzMzHxiQAAAAAAAgGJANDMzMzODYkBmZmZmZoZiQJqZmZmZiWJAzczMzMyMYkAAAAAAAJBiQDQzMzMzk2JAZmZmZmaWYkCamZmZmZliQM3MzMzMnGJAAAAAAACgYkA0MzMzM6NiQGZmZmZmpmJAmpmZmZmpYkDNzMzMzKxiQAAAAAAAsGJANDMzMzOzYkBmZmZmZrZiQJqZmZmZuWJAzczMzMy8YkAAAAAAAMBiQA==\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"4435\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"4434\",\"type\":\"UnionRenderers\"}},\"id\":\"4407\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"#1f77b4\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"#1f77b4\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"4396\",\"type\":\"Circle\"},{\"attributes\":{\"line_color\":\"#4292c6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"4438\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"4370\",\"type\":\"BasicTicker\"},{\"attributes\":{\"line_color\":\"#084594\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"4408\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"4439\",\"type\":\"Line\"},{\"attributes\":{\"plot\":{\"id\":\"4359\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"4370\",\"type\":\"BasicTicker\"}},\"id\":\"4373\",\"type\":\"Grid\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"4409\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"4437\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"4438\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"4439\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"4441\",\"type\":\"CDSView\"}},\"id\":\"4440\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"overlay\":{\"id\":\"4387\",\"type\":\"BoxAnnotation\"}},\"id\":\"4381\",\"type\":\"BoxZoomTool\"},{\"attributes\":{\"axis_label\":\"A\",\"formatter\":{\"id\":\"4400\",\"type\":\"BasicTickFormatter\"},\"plot\":{\"id\":\"4359\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"4375\",\"type\":\"BasicTicker\"}},\"id\":\"4374\",\"type\":\"LinearAxis\"},{\"attributes\":{\"data_source\":{\"id\":\"4407\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"4408\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"4409\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"4411\",\"type\":\"CDSView\"}},\"id\":\"4410\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"callback\":null,\"data\":{},\"selected\":{\"id\":\"4419\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"4418\",\"type\":\"UnionRenderers\"}},\"id\":\"4394\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"source\":{\"id\":\"4437\",\"type\":\"ColumnDataSource\"}},\"id\":\"4441\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"4375\",\"type\":\"BasicTicker\"},{\"attributes\":{\"source\":{\"id\":\"4407\",\"type\":\"ColumnDataSource\"}},\"id\":\"4411\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"4452\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"dimension\":1,\"plot\":{\"id\":\"4359\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"4375\",\"type\":\"BasicTicker\"}},\"id\":\"4378\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"4418\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"4453\",\"type\":\"Selection\"},{\"attributes\":{\"source\":{\"id\":\"4394\",\"type\":\"ColumnDataSource\"}},\"id\":\"4398\",\"type\":\"CDSView\"},{\"attributes\":{\"items\":[{\"id\":\"4406\",\"type\":\"LegendItem\"},{\"id\":\"4420\",\"type\":\"LegendItem\"},{\"id\":\"4436\",\"type\":\"LegendItem\"},{\"id\":\"4454\",\"type\":\"LegendItem\"},{\"id\":\"4474\",\"type\":\"LegendItem\"}],\"location\":\"top_left\",\"plot\":{\"id\":\"4359\",\"subtype\":\"Figure\",\"type\":\"Plot\"}},\"id\":\"4405\",\"type\":\"Legend\"},{\"attributes\":{},\"id\":\"4419\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"0.5\"},\"renderers\":[{\"id\":\"4440\",\"type\":\"GlyphRenderer\"}]},\"id\":\"4454\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"4402\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{\"label\":{\"value\":\"0.01\"},\"renderers\":[{\"id\":\"4410\",\"type\":\"GlyphRenderer\"}]},\"id\":\"4420\",\"type\":\"LegendItem\"},{\"attributes\":{\"label\":{\"value\":\"Kd\"},\"renderers\":[{\"id\":\"4397\",\"type\":\"GlyphRenderer\"}]},\"id\":\"4406\",\"type\":\"LegendItem\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"4662\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"4661\",\"type\":\"UnionRenderers\"}},\"id\":\"4455\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"4379\",\"type\":\"PanTool\"},{\"attributes\":{\"data_source\":{\"id\":\"4394\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"4395\",\"type\":\"Circle\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"4396\",\"type\":\"Circle\"},\"selection_glyph\":null,\"view\":{\"id\":\"4398\",\"type\":\"CDSView\"}},\"id\":\"4397\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"AAAAAAAASUDNzMzMzAxJQJqZmZmZGUlAZmZmZmYmSUAzMzMzMzNJQAAAAAAAQElAzczMzMxMSUCamZmZmVlJQGZmZmZmZklAMzMzMzNzSUAAAAAAAIBJQM3MzMzMjElAmpmZmZmZSUBmZmZmZqZJQDMzMzMzs0lAAAAAAADASUDNzMzMzMxJQJqZmZmZ2UlAZmZmZmbmSUAzMzMzM/NJQAAAAAAAAEpAzczMzMwMSkCamZmZmRlKQGZmZmZmJkpAMzMzMzMzSkAAAAAAAEBKQM3MzMzMTEpAmpmZmZlZSkBmZmZmZmZKQDMzMzMzc0pAAAAAAACASkDNzMzMzIxKQJqZmZmZmUpAZmZmZmamSkAzMzMzM7NKQAAAAAAAwEpAzczMzMzMSkCamZmZmdlKQGZmZmZm5kpAMzMzMzPzSkAAAAAAAABLQM3MzMzMDEtAmpmZmZkZS0BmZmZmZiZLQDMzMzMzM0tAAAAAAABAS0DNzMzMzExLQJqZmZmZWUtAZmZmZmZmS0AzMzMzM3NLQAAAAAAAgEtAzczMzMyMS0CamZmZmZlLQGZmZmZmpktAMzMzMzOzS0AAAAAAAMBLQM3MzMzMzEtAmpmZmZnZS0BmZmZmZuZLQDMzMzMz80tAAAAAAAAATEDNzMzMzAxMQJqZmZmZGUxAZmZmZmYmTEAzMzMzMzNMQAAAAAAAQExAzczMzMxMTECamZmZmVlMQGZmZmZmZkxAMzMzMzNzTEAAAAAAAIBMQM3MzMzMjExAmpmZmZmZTEBmZmZmZqZMQDMzMzMzs0xAAAAAAADATEDNzMzMzMxMQJqZmZmZ2UxAZmZmZmbmTEAzMzMzM/NMQAAAAAAAAE1AzczMzMwMTUCamZmZmRlNQGZmZmZmJk1AMzMzMzMzTUAAAAAAAEBNQM3MzMzMTE1AmpmZmZlZTUBmZmZmZmZNQDMzMzMzc01AAAAAAACATUDNzMzMzIxNQJqZmZmZmU1AZmZmZmamTUAzMzMzM7NNQAAAAAAAwE1AzczMzMzMTUCamZmZmdlNQGZmZmZm5k1AMzMzMzPzTUAAAAAAAABOQM3MzMzMDE5AmpmZmZkZTkBmZmZmZiZOQDMzMzMzM05AAAAAAABATkDNzMzMzExOQJqZmZmZWU5AZmZmZmZmTkAzMzMzM3NOQAAAAAAAgE5AzczMzMyMTkCamZmZmZlOQGZmZmZmpk5AMzMzMzOzTkAAAAAAAMBOQM3MzMzMzE5AmpmZmZnZTkBmZmZmZuZOQDMzMzMz805AAAAAAAAAT0DNzMzMzAxPQJqZmZmZGU9AZmZmZmYmT0AzMzMzMzNPQAAAAAAAQE9AzczMzMxMT0CamZmZmVlPQGZmZmZmZk9AMzMzMzNzT0AAAAAAAIBPQM3MzMzMjE9AmpmZmZmZT0BmZmZmZqZPQDMzMzMzs09AAAAAAADAT0DNzMzMzMxPQJqZmZmZ2U9AZmZmZmbmT0AzMzMzM/NPQAAAAAAAAFBAZmZmZmYGUEDNzMzMzAxQQDMzMzMzE1BAmpmZmZkZUEAAAAAAACBQQGZmZmZmJlBAzczMzMwsUEAzMzMzMzNQQJqZmZmZOVBAAAAAAABAUEBmZmZmZkZQQM3MzMzMTFBAMzMzMzNTUECamZmZmVlQQAAAAAAAYFBAZmZmZmZmUEDNzMzMzGxQQDMzMzMzc1BAmpmZmZl5UEAAAAAAAIBQQGZmZmZmhlBAzczMzMyMUEAzMzMzM5NQQJqZmZmZmVBAAAAAAACgUEBmZmZmZqZQQM3MzMzMrFBAMzMzMzOzUECamZmZmblQQAAAAAAAwFBAZmZmZmbGUEDNzMzMzMxQQDMzMzMz01BAmpmZmZnZUEAAAAAAAOBQQGZmZmZm5lBAzczMzMzsUEAzMzMzM/NQQJqZmZmZ+VBAAAAAAAAAUUBmZmZmZgZRQM3MzMzMDFFAMzMzMzMTUUCamZmZmRlRQAAAAAAAIFFAZmZmZmYmUUDNzMzMzCxRQDMzMzMzM1FAmpmZmZk5UUAAAAAAAEBRQGZmZmZmRlFAzczMzMxMUUAzMzMzM1NRQJqZmZmZWVFAAAAAAABgUUBmZmZmZmZRQM3MzMzMbFFAMzMzMzNzUUCamZmZmXlRQAAAAAAAgFFAZmZmZmaGUUDNzMzMzIxRQDMzMzMzk1FAmpmZmZmZUUAAAAAAAKBRQGZmZmZmplFAzczMzMysUUAzMzMzM7NRQJqZmZmZuVFAAAAAAADAUUBmZmZmZsZRQM3MzMzMzFFAMzMzMzPTUUCamZmZmdlRQAAAAAAA4FFAZmZmZmbmUUDNzMzMzOxRQDMzMzMz81FAmpmZmZn5UUAAAAAAAABSQGZmZmZmBlJAzczMzMwMUkAzMzMzMxNSQJqZmZmZGVJAAAAAAAAgUkBmZmZmZiZSQM3MzMzMLFJAMzMzMzMzUkCamZmZmTlSQAAAAAAAQFJAZmZmZmZGUkDNzMzMzExSQDMzMzMzU1JAmpmZmZlZUkAAAAAAAGBSQGZmZmZmZlJAzczMzMxsUkAzMzMzM3NSQJqZmZmZeVJAAAAAAACAUkBmZmZmZoZSQM3MzMzMjFJAMzMzMzOTUkCamZmZmZlSQAAAAAAAoFJAZmZmZmamUkDNzMzMzKxSQDMzMzMzs1JAmpmZmZm5UkAAAAAAAMBSQGZmZmZmxlJAzczMzMzMUkAzMzMzM9NSQJqZmZmZ2VJAAAAAAADgUkBmZmZmZuZSQM3MzMzM7FJAMzMzMzPzUkCamZmZmflSQAAAAAAAAFNAZmZmZmYGU0DNzMzMzAxTQDMzMzMzE1NAmpmZmZkZU0AAAAAAACBTQGZmZmZmJlNAzczMzMwsU0AzMzMzMzNTQJqZmZmZOVNAAAAAAABAU0BmZmZmZkZTQM3MzMzMTFNAMzMzMzNTU0CamZmZmVlTQAAAAAAAYFNAZmZmZmZmU0DNzMzMzGxTQDMzMzMzc1NAmpmZmZl5U0AAAAAAAIBTQGZmZmZmhlNAzczMzMyMU0AzMzMzM5NTQJqZmZmZmVNAAAAAAACgU0BmZmZmZqZTQM3MzMzMrFNAMzMzMzOzU0CamZmZmblTQAAAAAAAwFNAZmZmZmbGU0DNzMzMzMxTQDMzMzMz01NAmpmZmZnZU0AAAAAAAOBTQGZmZmZm5lNAzczMzMzsU0AzMzMzM/NTQJqZmZmZ+VNAAAAAAAAAVEBmZmZmZgZUQM3MzMzMDFRAMzMzMzMTVECamZmZmRlUQAAAAAAAIFRAZmZmZmYmVEDNzMzMzCxUQDMzMzMzM1RAmpmZmZk5VEAAAAAAAEBUQGZmZmZmRlRAzczMzMxMVEAzMzMzM1NUQJqZmZmZWVRAAAAAAABgVEBmZmZmZmZUQM3MzMzMbFRAMzMzMzNzVECamZmZmXlUQAAAAAAAgFRAZmZmZmaGVEDNzMzMzIxUQDQzMzMzk1RAmpmZmZmZVEAAAAAAAKBUQGZmZmZmplRAzczMzMysVEA0MzMzM7NUQJqZmZmZuVRAAAAAAADAVEBmZmZmZsZUQM3MzMzMzFRANDMzMzPTVECamZmZmdlUQAAAAAAA4FRAZmZmZmbmVEDNzMzMzOxUQDQzMzMz81RAmpmZmZn5VEAAAAAAAABVQGZmZmZmBlVAzczMzMwMVUA0MzMzMxNVQJqZmZmZGVVAAAAAAAAgVUBmZmZmZiZVQM3MzMzMLFVANDMzMzMzVUCamZmZmTlVQAAAAAAAQFVAZmZmZmZGVUDNzMzMzExVQDQzMzMzU1VAmpmZmZlZVUAAAAAAAGBVQGZmZmZmZlVAzczMzMxsVUA0MzMzM3NVQJqZmZmZeVVAAAAAAACAVUBmZmZmZoZVQM3MzMzMjFVANDMzMzOTVUCamZmZmZlVQAAAAAAAoFVAZmZmZmamVUDNzMzMzKxVQDQzMzMzs1VAmpmZmZm5VUAAAAAAAMBVQGZmZmZmxlVAzczMzMzMVUA0MzMzM9NVQJqZmZmZ2VVAAAAAAADgVUBmZmZmZuZVQM3MzMzM7FVANDMzMzPzVUCamZmZmflVQAAAAAAAAFZAZmZmZmYGVkDNzMzMzAxWQDQzMzMzE1ZAmpmZmZkZVkAAAAAAACBWQGZmZmZmJlZAzczMzMwsVkA0MzMzMzNWQJqZmZmZOVZAAAAAAABAVkBmZmZmZkZWQM3MzMzMTFZANDMzMzNTVkCamZmZmVlWQAAAAAAAYFZAZmZmZmZmVkDNzMzMzGxWQDQzMzMzc1ZAmpmZmZl5VkAAAAAAAIBWQGZmZmZmhlZAzczMzMyMVkA0MzMzM5NWQJqZmZmZmVZAAAAAAACgVkBmZmZmZqZWQM3MzMzMrFZANDMzMzOzVkCamZmZmblWQAAAAAAAwFZAZmZmZmbGVkDNzMzMzMxWQDQzMzMz01ZAmpmZmZnZVkAAAAAAAOBWQGZmZmZm5lZAzczMzMzsVkA0MzMzM/NWQJqZmZmZ+VZAAAAAAAAAV0BmZmZmZgZXQM3MzMzMDFdANDMzMzMTV0CamZmZmRlXQAAAAAAAIFdAZmZmZmYmV0DNzMzMzCxXQDQzMzMzM1dAmpmZmZk5V0AAAAAAAEBXQGZmZmZmRldAzczMzMxMV0A0MzMzM1NXQJqZmZmZWVdAAAAAAABgV0BmZmZmZmZXQM3MzMzMbFdANDMzMzNzV0CamZmZmXlXQAAAAAAAgFdAZmZmZmaGV0DNzMzMzIxXQDQzMzMzk1dAmpmZmZmZV0AAAAAAAKBXQGZmZmZmpldAzczMzMysV0A0MzMzM7NXQJqZmZmZuVdAAAAAAADAV0BmZmZmZsZXQM3MzMzMzFdANDMzMzPTV0CamZmZmdlXQAAAAAAA4FdAZmZmZmbmV0DNzMzMzOxXQDQzMzMz81dAmpmZmZn5V0AAAAAAAABYQGZmZmZmBlhAzczMzMwMWEA0MzMzMxNYQJqZmZmZGVhAAAAAAAAgWEBmZmZmZiZYQM3MzMzMLFhANDMzMzMzWECamZmZmTlYQAAAAAAAQFhAZmZmZmZGWEDNzMzMzExYQDQzMzMzU1hAmpmZmZlZWEAAAAAAAGBYQGZmZmZmZlhAzczMzMxsWEA0MzMzM3NYQJqZmZmZeVhAAAAAAACAWEBmZmZmZoZYQM3MzMzMjFhANDMzMzOTWECamZmZmZlYQAAAAAAAoFhAZmZmZmamWEDNzMzMzKxYQDQzMzMzs1hAmpmZmZm5WEAAAAAAAMBYQGZmZmZmxlhAzczMzMzMWEA0MzMzM9NYQJqZmZmZ2VhAAAAAAADgWEBmZmZmZuZYQM3MzMzM7FhANDMzMzPzWECamZmZmflYQAAAAAAAAFlAZmZmZmYGWUDNzMzMzAxZQDQzMzMzE1lAmpmZmZkZWUAAAAAAACBZQGZmZmZmJllAzczMzMwsWUA0MzMzMzNZQJqZmZmZOVlAAAAAAABAWUBmZmZmZkZZQM3MzMzMTFlANDMzMzNTWUCamZmZmVlZQAAAAAAAYFlAZmZmZmZmWUDNzMzMzGxZQDQzMzMzc1lAmpmZmZl5WUAAAAAAAIBZQGZmZmZmhllAzczMzMyMWUA0MzMzM5NZQJqZmZmZmVlAAAAAAACgWUBmZmZmZqZZQM3MzMzMrFlANDMzMzOzWUCamZmZmblZQAAAAAAAwFlAZmZmZmbGWUDNzMzMzMxZQDQzMzMz01lAmpmZmZnZWUAAAAAAAOBZQGZmZmZm5llAzczMzMzsWUA0MzMzM/NZQJqZmZmZ+VlAAAAAAAAAWkBmZmZmZgZaQM3MzMzMDFpANDMzMzMTWkCamZmZmRlaQAAAAAAAIFpAZmZmZmYmWkDNzMzMzCxaQDQzMzMzM1pAmpmZmZk5WkAAAAAAAEBaQGZmZmZmRlpAzczMzMxMWkA0MzMzM1NaQJqZmZmZWVpAAAAAAABgWkBmZmZmZmZaQM3MzMzMbFpANDMzMzNzWkCamZmZmXlaQAAAAAAAgFpAZmZmZmaGWkDNzMzMzIxaQDQzMzMzk1pAmpmZmZmZWkAAAAAAAKBaQGZmZmZmplpAzczMzMysWkA0MzMzM7NaQJqZmZmZuVpAAAAAAADAWkBmZmZmZsZaQM3MzMzMzFpANDMzMzPTWkCamZmZmdlaQAAAAAAA4FpAZmZmZmbmWkDNzMzMzOxaQDQzMzMz81pAmpmZmZn5WkAAAAAAAABbQGZmZmZmBltAzczMzMwMW0A0MzMzMxNbQJqZmZmZGVtAAAAAAAAgW0BmZmZmZiZbQM3MzMzMLFtANDMzMzMzW0CamZmZmTlbQAAAAAAAQFtAZmZmZmZGW0DNzMzMzExbQDQzMzMzU1tAmpmZmZlZW0AAAAAAAGBbQGZmZmZmZltAzczMzMxsW0A0MzMzM3NbQJqZmZmZeVtAAAAAAACAW0BmZmZmZoZbQM3MzMzMjFtANDMzMzOTW0CamZmZmZlbQAAAAAAAoFtAZmZmZmamW0DNzMzMzKxbQDQzMzMzs1tAmpmZmZm5W0AAAAAAAMBbQGZmZmZmxltAzczMzMzMW0A0MzMzM9NbQJqZmZmZ2VtAAAAAAADgW0BmZmZmZuZbQM3MzMzM7FtANDMzMzPzW0CamZmZmflbQAAAAAAAAFxAZmZmZmYGXEDNzMzMzAxcQDQzMzMzE1xAmpmZmZkZXEAAAAAAACBcQGZmZmZmJlxAzczMzMwsXEA0MzMzMzNcQJqZmZmZOVxAAAAAAABAXEBmZmZmZkZcQM3MzMzMTFxANDMzMzNTXECamZmZmVlcQAAAAAAAYFxAZmZmZmZmXEDNzMzMzGxcQDQzMzMzc1xAmpmZmZl5XEAAAAAAAIBcQGdmZmZmhlxAzczMzMyMXEAzMzMzM5NcQJqZmZmZmVxAAAAAAACgXEBnZmZmZqZcQM3MzMzMrFxAMzMzMzOzXECamZmZmblcQAAAAAAAwFxAZ2ZmZmbGXEDNzMzMzMxcQDMzMzMz01xAmpmZmZnZXEAAAAAAAOBcQGdmZmZm5lxAzczMzMzsXEAzMzMzM/NcQJqZmZmZ+VxAAAAAAAAAXUBnZmZmZgZdQM3MzMzMDF1AMzMzMzMTXUCamZmZmRldQAAAAAAAIF1AZ2ZmZmYmXUDNzMzMzCxdQDMzMzMzM11AmpmZmZk5XUAAAAAAAEBdQGdmZmZmRl1AzczMzMxMXUAzMzMzM1NdQJqZmZmZWV1AAAAAAABgXUBnZmZmZmZdQM3MzMzMbF1AMzMzMzNzXUCamZmZmXldQAAAAAAAgF1AZ2ZmZmaGXUDNzMzMzIxdQDMzMzMzk11AmpmZmZmZXUAAAAAAAKBdQGdmZmZmpl1AzczMzMysXUAzMzMzM7NdQJqZmZmZuV1AAAAAAADAXUBnZmZmZsZdQM3MzMzMzF1AMzMzMzPTXUCamZmZmdldQAAAAAAA4F1AZ2ZmZmbmXUDNzMzMzOxdQDMzMzMz811AmpmZmZn5XUAAAAAAAABeQGdmZmZmBl5AzczMzMwMXkAzMzMzMxNeQJqZmZmZGV5AAAAAAAAgXkBnZmZmZiZeQM3MzMzMLF5AMzMzMzMzXkCamZmZmTleQAAAAAAAQF5AZ2ZmZmZGXkDNzMzMzExeQDMzMzMzU15AmpmZmZlZXkAAAAAAAGBeQGdmZmZmZl5AzczMzMxsXkAzMzMzM3NeQJqZmZmZeV5AAAAAAACAXkBnZmZmZoZeQM3MzMzMjF5AMzMzMzOTXkCamZmZmZleQAAAAAAAoF5AZ2ZmZmamXkDNzMzMzKxeQDMzMzMzs15AmpmZmZm5XkAAAAAAAMBeQGdmZmZmxl5AzczMzMzMXkAzMzMzM9NeQJqZmZmZ2V5AAAAAAADgXkBnZmZmZuZeQM3MzMzM7F5AMzMzMzPzXkCamZmZmfleQAAAAAAAAF9AZ2ZmZmYGX0DNzMzMzAxfQDMzMzMzE19AmpmZmZkZX0AAAAAAACBfQGdmZmZmJl9AzczMzMwsX0AzMzMzMzNfQJqZmZmZOV9AAAAAAABAX0BnZmZmZkZfQM3MzMzMTF9AMzMzMzNTX0CamZmZmVlfQAAAAAAAYF9AZ2ZmZmZmX0DNzMzMzGxfQDMzMzMzc19AmpmZmZl5X0AAAAAAAIBfQGdmZmZmhl9AzczMzMyMX0AzMzMzM5NfQJqZmZmZmV9AAAAAAACgX0BnZmZmZqZfQM3MzMzMrF9ANDMzMzOzX0CamZmZmblfQAAAAAAAwF9AZ2ZmZmbGX0DNzMzMzMxfQDQzMzMz019AmpmZmZnZX0AAAAAAAOBfQGdmZmZm5l9AzczMzMzsX0A0MzMzM/NfQJqZmZmZ+V9AAAAAAAAAYEA0MzMzMwNgQGZmZmZmBmBAmpmZmZkJYEDNzMzMzAxgQAAAAAAAEGBANDMzMzMTYEBmZmZmZhZgQJqZmZmZGWBAzczMzMwcYEAAAAAAACBgQDQzMzMzI2BAZmZmZmYmYECamZmZmSlgQM3MzMzMLGBAAAAAAAAwYEA0MzMzMzNgQGZmZmZmNmBAmpmZmZk5YEDNzMzMzDxgQAAAAAAAQGBANDMzMzNDYEBmZmZmZkZgQJqZmZmZSWBAzczMzMxMYEAAAAAAAFBgQDQzMzMzU2BAZmZmZmZWYECamZmZmVlgQM3MzMzMXGBAAAAAAABgYEA0MzMzM2NgQGZmZmZmZmBAmpmZmZlpYEDNzMzMzGxgQAAAAAAAcGBANDMzMzNzYEBmZmZmZnZgQJqZmZmZeWBAzczMzMx8YEAAAAAAAIBgQDQzMzMzg2BAZmZmZmaGYECamZmZmYlgQM3MzMzMjGBAAAAAAACQYEA0MzMzM5NgQGZmZmZmlmBAmpmZmZmZYEDNzMzMzJxgQAAAAAAAoGBANDMzMzOjYEBmZmZmZqZgQJqZmZmZqWBAzczMzMysYEAAAAAAALBgQDQzMzMzs2BAZmZmZma2YECamZmZmblgQM3MzMzMvGBAAAAAAADAYEA0MzMzM8NgQGZmZmZmxmBAmpmZmZnJYEDNzMzMzMxgQAAAAAAA0GBANDMzMzPTYEBmZmZmZtZgQJqZmZmZ2WBAzczMzMzcYEAAAAAAAOBgQDQzMzMz42BAZmZmZmbmYECamZmZmelgQM3MzMzM7GBAAAAAAADwYEA0MzMzM/NgQGZmZmZm9mBAmpmZmZn5YEDNzMzMzPxgQAAAAAAAAGFANDMzMzMDYUBmZmZmZgZhQJqZmZmZCWFAzczMzMwMYUAAAAAAABBhQDQzMzMzE2FAZmZmZmYWYUCamZmZmRlhQM3MzMzMHGFAAAAAAAAgYUA0MzMzMyNhQGZmZmZmJmFAmpmZmZkpYUDNzMzMzCxhQAAAAAAAMGFANDMzMzMzYUBmZmZmZjZhQJqZmZmZOWFAzczMzMw8YUAAAAAAAEBhQDQzMzMzQ2FAZmZmZmZGYUCamZmZmUlhQM3MzMzMTGFAAAAAAABQYUA0MzMzM1NhQGZmZmZmVmFAmpmZmZlZYUDNzMzMzFxhQAAAAAAAYGFANDMzMzNjYUBmZmZmZmZhQJqZmZmZaWFAzczMzMxsYUAAAAAAAHBhQDQzMzMzc2FAZmZmZmZ2YUCamZmZmXlhQM3MzMzMfGFAAAAAAACAYUA0MzMzM4NhQGZmZmZmhmFAmpmZmZmJYUDNzMzMzIxhQAAAAAAAkGFANDMzMzOTYUBmZmZmZpZhQJqZmZmZmWFAzczMzMycYUAAAAAAAKBhQDQzMzMzo2FAZmZmZmamYUCamZmZmalhQM3MzMzMrGFAAAAAAACwYUA0MzMzM7NhQGZmZmZmtmFAmpmZmZm5YUDNzMzMzLxhQAAAAAAAwGFANDMzMzPDYUBmZmZmZsZhQJqZmZmZyWFAzczMzMzMYUAAAAAAANBhQDQzMzMz02FAZmZmZmbWYUCamZmZmdlhQM3MzMzM3GFAAAAAAADgYUA0MzMzM+NhQGZmZmZm5mFAmpmZmZnpYUDNzMzMzOxhQAAAAAAA8GFANDMzMzPzYUBmZmZmZvZhQJqZmZmZ+WFAzczMzMz8YUAAAAAAAABiQDQzMzMzA2JAZmZmZmYGYkCamZmZmQliQM3MzMzMDGJAAAAAAAAQYkA0MzMzMxNiQGZmZmZmFmJAmpmZmZkZYkDNzMzMzBxiQAAAAAAAIGJANDMzMzMjYkBmZmZmZiZiQJqZmZmZKWJAzczMzMwsYkAAAAAAADBiQDQzMzMzM2JAZmZmZmY2YkCamZmZmTliQM3MzMzMPGJAAAAAAABAYkA0MzMzM0NiQGZmZmZmRmJAmpmZmZlJYkDNzMzMzExiQAAAAAAAUGJANDMzMzNTYkBmZmZmZlZiQJqZmZmZWWJAzczMzMxcYkAAAAAAAGBiQDQzMzMzY2JAZmZmZmZmYkCamZmZmWliQM3MzMzMbGJAAAAAAABwYkA0MzMzM3NiQGZmZmZmdmJAmpmZmZl5YkDNzMzMzHxiQAAAAAAAgGJANDMzMzODYkBmZmZmZoZiQJqZmZmZiWJAzczMzMyMYkAAAAAAAJBiQDQzMzMzk2JAZmZmZmaWYkCamZmZmZliQM3MzMzMnGJAAAAAAACgYkA0MzMzM6NiQGZmZmZmpmJAmpmZmZmpYkDNzMzMzKxiQAAAAAAAsGJANDMzMzOzYkBmZmZmZrZiQJqZmZmZuWJAzczMzMy8YkAAAAAAAMBiQA==\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"4453\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"4452\",\"type\":\"UnionRenderers\"}},\"id\":\"4421\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_color\":\"#6baed6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"4456\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"4400\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"4380\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"line_color\":\"#2171b5\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"4422\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"4457\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"4423\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"4455\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"4456\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"4457\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"4459\",\"type\":\"CDSView\"}},\"id\":\"4458\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"4382\",\"type\":\"SaveTool\"},{\"attributes\":{\"data_source\":{\"id\":\"4421\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"4422\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"4423\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"4425\",\"type\":\"CDSView\"}},\"id\":\"4424\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"source\":{\"id\":\"4455\",\"type\":\"ColumnDataSource\"}},\"id\":\"4459\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"4383\",\"type\":\"ResetTool\"}],\"root_ids\":[\"4359\"]},\"title\":\"Bokeh Application\",\"version\":\"1.0.4\"}};\n",
       "  var render_items = [{\"docid\":\"cb7f98cd-ab12-4fd8-9a67-f359d3de5ba8\",\"roots\":{\"4359\":\"ba3fde11-5e0d-4259-9169-8070a6ec1d86\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        embed_document(root);\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "      attempts++;\n",
       "      if (attempts > 100) {\n",
       "        console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "4359"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# array of A_total values\n",
    "AT = np.linspace(50, 150, 1001)\n",
    "Kdvals = np.array([0.01, 0.1,0.5,1])\n",
    "BT = 100\n",
    "\n",
    "colors = bokeh.palettes.Blues8[::]\n",
    "\n",
    "p = bokeh.plotting.figure(width=400, height=300,\n",
    "                         x_axis_label='A_T', y_axis_label='A', \n",
    "                         x_axis_type=\"linear\", y_axis_type=\"linear\",\n",
    "                         title = \"A vs. A_T for different K_d values\",\n",
    "                         x_range=[AT.min(), AT.max()])\n",
    "\n",
    "# Loop through colors and BT values (nditer not necessary)\n",
    "A = np.zeros((Kdvals.size, AT.size))\n",
    "p.circle(0, 0, size=0.00000001, color= \"#ffffff\", legend=\"Kd\")\n",
    "for i, (color, Kd) in enumerate(zip(colors, Kdvals)):\n",
    "   A0 = 0.5 * (AT-BT-Kd+np.sqrt((AT-BT-Kd)**2+4*AT*Kd))\n",
    "   A[i,:] = A0\n",
    "   p.line(AT, A0, line_width=2, color=color, legend=str(Kd))\n",
    "    \n",
    "p.legend.location = \"top_left\"\n",
    "\n",
    "bokeh.io.show(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ultrasensitivity in threshold-linear response functions\n",
    "\n",
    "Threshold-linear responses differ qualitatively from what we had with a Hill function. Unlike the sigmoidal, or \"S-shaped,\" Hill function, which saturates at a maximum \"ceiling,\" the threshold-linear function increases without bound, maintaining a constant slope as input values increase.\n",
    "\n",
    "Despite these differences, we can still quantify the sensitivity of this response. A simple way to define sensitivity is the fold change in output for a given fold change in input, evaluated at a particular operating point. The plots below show this sensitivity, $S=\\frac{d log A}{d log A_T}$ plotted for varying $A_T$, and for different values of $K_d$. Note the peak in $S$ right around the transition, whose strength grows with tighter binding (lower $K_d$). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-13T17:44:55.961701Z",
     "start_time": "2019-05-13T17:44:55.593375Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"7b336e4f-e709-453d-8673-0e5923b7f560\" data-root-id=\"8068\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"b2f061f4-e858-4850-8250-e37e993eea25\":{\"roots\":{\"references\":[{\"attributes\":{\"children\":[{\"id\":\"8067\",\"type\":\"ToolbarBox\"},{\"id\":\"8065\",\"type\":\"Column\"}]},\"id\":\"8068\",\"type\":\"Column\"},{\"attributes\":{\"line_color\":\"#fd8d3c\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"8004\",\"type\":\"Line\"},{\"attributes\":{\"plot\":{\"id\":\"7784\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"7795\",\"type\":\"LogTicker\"}},\"id\":\"7798\",\"type\":\"Grid\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"8005\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"7856\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"axis_label\":\"S\",\"formatter\":{\"id\":\"7838\",\"type\":\"LogTickFormatter\"},\"plot\":{\"id\":\"7784\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"7800\",\"type\":\"LogTicker\"}},\"id\":\"7799\",\"type\":\"LogAxis\"},{\"attributes\":{\"children\":[{\"id\":\"8044\",\"type\":\"Row\"},{\"id\":\"8064\",\"type\":\"Row\"}]},\"id\":\"8065\",\"type\":\"Column\"},{\"attributes\":{\"data_source\":{\"id\":\"8003\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"8004\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"8005\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"8007\",\"type\":\"CDSView\"}},\"id\":\"8006\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"7800\",\"type\":\"LogTicker\"},{\"attributes\":{\"source\":{\"id\":\"8003\",\"type\":\"ColumnDataSource\"}},\"id\":\"8007\",\"type\":\"CDSView\"},{\"attributes\":{\"dimension\":1,\"plot\":{\"id\":\"7784\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"7800\",\"type\":\"LogTicker\"}},\"id\":\"7803\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"8022\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"#1f77b4\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"#1f77b4\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"7821\",\"type\":\"Circle\"},{\"attributes\":{},\"id\":\"8023\",\"type\":\"Selection\"},{\"attributes\":{\"fill_color\":{\"value\":\"#ffffff\"},\"line_color\":{\"value\":\"#ffffff\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"7820\",\"type\":\"Circle\"},{\"attributes\":{\"label\":{\"value\":\"0.1\"},\"renderers\":[{\"id\":\"8006\",\"type\":\"GlyphRenderer\"}]},\"id\":\"8024\",\"type\":\"LegendItem\"},{\"attributes\":{\"data_source\":{\"id\":\"7819\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7820\",\"type\":\"Circle\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7821\",\"type\":\"Circle\"},\"selection_glyph\":null,\"view\":{\"id\":\"7823\",\"type\":\"CDSView\"}},\"id\":\"7822\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"7804\",\"type\":\"PanTool\"},{\"attributes\":{},\"id\":\"8042\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"7805\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"children\":[{\"id\":\"7784\",\"subtype\":\"Figure\",\"type\":\"Plot\"}]},\"id\":\"8064\",\"type\":\"Row\"},{\"attributes\":{\"below\":[{\"id\":\"7758\",\"type\":\"LogAxis\"}],\"left\":[{\"id\":\"7763\",\"type\":\"LogAxis\"}],\"plot_height\":200,\"plot_width\":400,\"renderers\":[{\"id\":\"7758\",\"type\":\"LogAxis\"},{\"id\":\"7762\",\"type\":\"Grid\"},{\"id\":\"7763\",\"type\":\"LogAxis\"},{\"id\":\"7767\",\"type\":\"Grid\"},{\"id\":\"7776\",\"type\":\"BoxAnnotation\"},{\"id\":\"7830\",\"type\":\"Legend\"},{\"id\":\"7822\",\"type\":\"GlyphRenderer\"},{\"id\":\"7848\",\"type\":\"GlyphRenderer\"},{\"id\":\"7876\",\"type\":\"GlyphRenderer\"},{\"id\":\"7908\",\"type\":\"GlyphRenderer\"},{\"id\":\"7944\",\"type\":\"GlyphRenderer\"},{\"id\":\"7984\",\"type\":\"GlyphRenderer\"}],\"title\":{\"id\":\"7747\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"7774\",\"type\":\"Toolbar\"},\"toolbar_location\":null,\"x_range\":{\"id\":\"7750\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"7754\",\"type\":\"LogScale\"},\"y_range\":{\"id\":\"7752\",\"type\":\"DataRange1d\"},\"y_scale\":{\"id\":\"7756\",\"type\":\"LogScale\"}},\"id\":\"7748\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"overlay\":{\"id\":\"7812\",\"type\":\"BoxAnnotation\"}},\"id\":\"7806\",\"type\":\"BoxZoomTool\"},{\"attributes\":{},\"id\":\"8061\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"data_source\":{\"id\":\"7832\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7833\",\"type\":\"Circle\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7834\",\"type\":\"Circle\"},\"selection_glyph\":null,\"view\":{\"id\":\"7836\",\"type\":\"CDSView\"}},\"id\":\"7835\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"7807\",\"type\":\"SaveTool\"},{\"attributes\":{\"below\":[{\"id\":\"7794\",\"type\":\"LogAxis\"}],\"left\":[{\"id\":\"7799\",\"type\":\"LogAxis\"}],\"plot_height\":200,\"plot_width\":400,\"renderers\":[{\"id\":\"7794\",\"type\":\"LogAxis\"},{\"id\":\"7798\",\"type\":\"Grid\"},{\"id\":\"7799\",\"type\":\"LogAxis\"},{\"id\":\"7803\",\"type\":\"Grid\"},{\"id\":\"7812\",\"type\":\"BoxAnnotation\"},{\"id\":\"7843\",\"type\":\"Legend\"},{\"id\":\"7835\",\"type\":\"GlyphRenderer\"},{\"id\":\"7862\",\"type\":\"GlyphRenderer\"},{\"id\":\"7892\",\"type\":\"GlyphRenderer\"},{\"id\":\"7926\",\"type\":\"GlyphRenderer\"},{\"id\":\"7964\",\"type\":\"GlyphRenderer\"},{\"id\":\"8006\",\"type\":\"GlyphRenderer\"}],\"title\":{\"id\":\"7783\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"7810\",\"type\":\"Toolbar\"},\"toolbar_location\":null,\"x_range\":{\"id\":\"7786\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"7790\",\"type\":\"LogScale\"},\"y_range\":{\"id\":\"7788\",\"type\":\"DataRange1d\"},\"y_scale\":{\"id\":\"7792\",\"type\":\"LogScale\"}},\"id\":\"7784\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{},\"id\":\"8062\",\"type\":\"Selection\"},{\"attributes\":{\"plot\":null,\"text\":\"A vs A_T for several K_d\"},\"id\":\"7747\",\"type\":\"Title\"},{\"attributes\":{},\"id\":\"7808\",\"type\":\"ResetTool\"},{\"attributes\":{\"tools\":[{\"id\":\"7768\",\"type\":\"PanTool\"},{\"id\":\"7769\",\"type\":\"WheelZoomTool\"},{\"id\":\"7770\",\"type\":\"BoxZoomTool\"},{\"id\":\"7771\",\"type\":\"SaveTool\"},{\"id\":\"7772\",\"type\":\"ResetTool\"},{\"id\":\"7773\",\"type\":\"HelpTool\"},{\"id\":\"7804\",\"type\":\"PanTool\"},{\"id\":\"7805\",\"type\":\"WheelZoomTool\"},{\"id\":\"7806\",\"type\":\"BoxZoomTool\"},{\"id\":\"7807\",\"type\":\"SaveTool\"},{\"id\":\"7808\",\"type\":\"ResetTool\"},{\"id\":\"7809\",\"type\":\"HelpTool\"}]},\"id\":\"8066\",\"type\":\"ProxyToolbar\"},{\"attributes\":{},\"id\":\"7809\",\"type\":\"HelpTool\"},{\"attributes\":{\"callback\":null,\"end\":32.0,\"start\":0.03125},\"id\":\"7750\",\"type\":\"Range1d\"},{\"attributes\":{\"toolbar\":{\"id\":\"8066\",\"type\":\"ProxyToolbar\"},\"toolbar_location\":\"above\"},\"id\":\"8067\",\"type\":\"ToolbarBox\"},{\"attributes\":{\"callback\":null},\"id\":\"7752\",\"type\":\"DataRange1d\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"7804\",\"type\":\"PanTool\"},{\"id\":\"7805\",\"type\":\"WheelZoomTool\"},{\"id\":\"7806\",\"type\":\"BoxZoomTool\"},{\"id\":\"7807\",\"type\":\"SaveTool\"},{\"id\":\"7808\",\"type\":\"ResetTool\"},{\"id\":\"7809\",\"type\":\"HelpTool\"}]},\"id\":\"7810\",\"type\":\"Toolbar\"},{\"attributes\":{},\"id\":\"7754\",\"type\":\"LogScale\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"plot\":null,\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"7812\",\"type\":\"BoxAnnotation\"},{\"attributes\":{},\"id\":\"7756\",\"type\":\"LogScale\"},{\"attributes\":{\"axis_label\":\"A_T\",\"formatter\":{\"id\":\"7827\",\"type\":\"LogTickFormatter\"},\"plot\":{\"id\":\"7748\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"7759\",\"type\":\"LogTicker\"}},\"id\":\"7758\",\"type\":\"LogAxis\"},{\"attributes\":{\"source\":{\"id\":\"7819\",\"type\":\"ColumnDataSource\"}},\"id\":\"7823\",\"type\":\"CDSView\"},{\"attributes\":{\"ticker\":null},\"id\":\"7825\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"plot\":{\"id\":\"7748\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"7759\",\"type\":\"LogTicker\"}},\"id\":\"7762\",\"type\":\"Grid\"},{\"attributes\":{\"axis_label\":\"A\",\"formatter\":{\"id\":\"7825\",\"type\":\"LogTickFormatter\"},\"plot\":{\"id\":\"7748\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"7764\",\"type\":\"LogTicker\"}},\"id\":\"7763\",\"type\":\"LogAxis\"},{\"attributes\":{\"ticker\":null},\"id\":\"7827\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"items\":[{\"id\":\"7831\",\"type\":\"LegendItem\"},{\"id\":\"7858\",\"type\":\"LegendItem\"},{\"id\":\"7888\",\"type\":\"LegendItem\"},{\"id\":\"7922\",\"type\":\"LegendItem\"},{\"id\":\"7960\",\"type\":\"LegendItem\"},{\"id\":\"8002\",\"type\":\"LegendItem\"}],\"location\":\"bottom_right\",\"plot\":{\"id\":\"7748\",\"subtype\":\"Figure\",\"type\":\"Plot\"}},\"id\":\"7830\",\"type\":\"Legend\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"7764\",\"type\":\"LogTicker\"},{\"attributes\":{\"dimension\":1,\"plot\":{\"id\":\"7748\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"7764\",\"type\":\"LogTicker\"}},\"id\":\"7767\",\"type\":\"Grid\"},{\"attributes\":{\"label\":{\"value\":\"Kd\"},\"renderers\":[{\"id\":\"7822\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7831\",\"type\":\"LegendItem\"},{\"attributes\":{\"plot\":null,\"text\":\"Sensitivity vs. A_T for several K_d\"},\"id\":\"7783\",\"type\":\"Title\"},{\"attributes\":{\"fill_color\":{\"value\":\"#ffffff\"},\"line_color\":{\"value\":\"#ffffff\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"7833\",\"type\":\"Circle\"},{\"attributes\":{\"callback\":null,\"data\":{},\"selected\":{\"id\":\"7857\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"7856\",\"type\":\"UnionRenderers\"}},\"id\":\"7819\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"callback\":null,\"data\":{},\"selected\":{\"id\":\"7871\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"7870\",\"type\":\"UnionRenderers\"}},\"id\":\"7832\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"source\":{\"id\":\"7832\",\"type\":\"ColumnDataSource\"}},\"id\":\"7836\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"7768\",\"type\":\"PanTool\"},{\"attributes\":{\"ticker\":null},\"id\":\"7838\",\"type\":\"LogTickFormatter\"},{\"attributes\":{},\"id\":\"7769\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"ticker\":null},\"id\":\"7840\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"overlay\":{\"id\":\"7776\",\"type\":\"BoxAnnotation\"}},\"id\":\"7770\",\"type\":\"BoxZoomTool\"},{\"attributes\":{\"items\":[{\"id\":\"7844\",\"type\":\"LegendItem\"},{\"id\":\"7872\",\"type\":\"LegendItem\"},{\"id\":\"7904\",\"type\":\"LegendItem\"},{\"id\":\"7940\",\"type\":\"LegendItem\"},{\"id\":\"7980\",\"type\":\"LegendItem\"},{\"id\":\"8024\",\"type\":\"LegendItem\"}],\"location\":\"bottom_right\",\"plot\":{\"id\":\"7784\",\"subtype\":\"Figure\",\"type\":\"Plot\"}},\"id\":\"7843\",\"type\":\"Legend\"},{\"attributes\":{},\"id\":\"7771\",\"type\":\"SaveTool\"},{\"attributes\":{\"label\":{\"value\":\"Kd\"},\"renderers\":[{\"id\":\"7835\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7844\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"7772\",\"type\":\"ResetTool\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"#1f77b4\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"#1f77b4\"},\"size\":{\"units\":\"screen\",\"value\":1e-08},\"x\":{\"value\":0},\"y\":{\"value\":0}},\"id\":\"7834\",\"type\":\"Circle\"},{\"attributes\":{\"children\":[{\"id\":\"7748\",\"subtype\":\"Figure\",\"type\":\"Plot\"}]},\"id\":\"8044\",\"type\":\"Row\"},{\"attributes\":{},\"id\":\"7773\",\"type\":\"HelpTool\"},{\"attributes\":{},\"id\":\"8041\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"7768\",\"type\":\"PanTool\"},{\"id\":\"7769\",\"type\":\"WheelZoomTool\"},{\"id\":\"7770\",\"type\":\"BoxZoomTool\"},{\"id\":\"7771\",\"type\":\"SaveTool\"},{\"id\":\"7772\",\"type\":\"ResetTool\"},{\"id\":\"7773\",\"type\":\"HelpTool\"}]},\"id\":\"7774\",\"type\":\"Toolbar\"},{\"attributes\":{\"callback\":null,\"end\":32.0,\"start\":0.03125},\"id\":\"7786\",\"type\":\"Range1d\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"plot\":null,\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"7776\",\"type\":\"BoxAnnotation\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"7887\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"7886\",\"type\":\"UnionRenderers\"}},\"id\":\"7845\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"callback\":null},\"id\":\"7788\",\"type\":\"DataRange1d\"},{\"attributes\":{\"line_color\":\"#08306b\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7846\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"7790\",\"type\":\"LogScale\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7847\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"7792\",\"type\":\"LogScale\"},{\"attributes\":{\"data_source\":{\"id\":\"7845\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7846\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7847\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"7849\",\"type\":\"CDSView\"}},\"id\":\"7848\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"axis_label\":\"A_T\",\"formatter\":{\"id\":\"7840\",\"type\":\"LogTickFormatter\"},\"plot\":{\"id\":\"7784\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"7795\",\"type\":\"LogTicker\"}},\"id\":\"7794\",\"type\":\"LogAxis\"},{\"attributes\":{\"source\":{\"id\":\"7845\",\"type\":\"ColumnDataSource\"}},\"id\":\"7849\",\"type\":\"CDSView\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"7795\",\"type\":\"LogTicker\"},{\"attributes\":{},\"id\":\"7857\",\"type\":\"Selection\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[999]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[999]}},\"selected\":{\"id\":\"7979\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"7978\",\"type\":\"UnionRenderers\"}},\"id\":\"7923\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"7759\",\"type\":\"LogTicker\"},{\"attributes\":{\"label\":{\"value\":\"1e-05\"},\"renderers\":[{\"id\":\"7848\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7858\",\"type\":\"LegendItem\"},{\"attributes\":{\"line_color\":\"#d94801\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7924\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"AAAAAAAAoD8LT0BsfRygP3StUpMtOaA/mrWLzxBWoD/82eB7J3OgP6yD6fNxkKA/rjLgk/CtoD9goKO4o8ugP93jt7+L6aA/gphHB6kHoT9jBiXu+yWhP+FMy9OERKE/Q49fGERjoT+DI7IcOoKhPxrDP0JnoaE/+r0y68vAoT+aL2R6aOChP0k2XVM9AKI/hSxY2kogoj+g5EF0kUCiP3XmuoYRYaI/fK8YeMuBoj/29Gavv6KiP2roaJTuw6I/TH6aj1jloj8VtzEK/gajP3fqH27fKKM/9hQTJv1Koz/YJ3edV22jP1Bbd0Dvj6M/KIP/e8Syoz+xZb2919WjPxsVInQp+aM/LEtjDrocpD98x3z8iUCkPwWwMa+ZZKQ/NfQNmOmIpD9osmcpeq2kPwGgYNZL0qQ/33PnEl/3pD9uU7lTtBylPypCYw5MQqU/3ZNDuSZopT8+YYvLRI6lP0v/P72mtKU/IXk8B03bpT+cDDMjOAKmP3mprotoKaY/N3MUvN5Qpj+QRaUwm3imP807f2aeoKY/rTqf2+jIpj8dfeIOe/GmP68jCIBVGqc/xcayr3hDpz+3C2of5WynP588nFGblqc/+eKfyZvApz9PZbUL5+qnP42nCJ19Fag/W66yA2BAqD9cRbvGjmuoP0ioGm4Kl6g/Ky+7gtPCqD9n/XqO6u6oP+CzLRxQG6k/ByaetwRIqT8cEpDtCHWpP1zcwUtdoqk/VU3uYALQqT8+U868+P2pP6HGGvBALKo/8zGOjNtaqj97nOYkyYmqP09Y50wKuao/rdNamZ/oqj9ubRSgiRirP8hM8vfISKs/YDzfOF55qz+MiNT7SaqrPx/h29qM26s/XD4RcScNrD9NyaRaGj+sP63H3DRmcaw/CIsXngukrD9qY801C9esP4SVkpxlCq0/MVQZdBs+rT+/vTNfLXKtP3/c1QGcpq0/FKsXAWjbrT8wHDcDkhCuPyQmmq8aRq4/5tHQrgJ8rj/aTZeqSrKuPzAE2E3z6K4/LbWtRP0frz//lGU8aVevP3RtgeM3j68/X8O56WnHrz8AAAAAAACwPwtPQGx9HLA/da1Sky05sD+atYvPEFawP/zZ4Hsnc7A/rIPp83GQsD+vMuCT8K2wP2Cgo7ijy7A/3eO3v4vpsD+CmEcHqQexP2QGJe77JbE/4UzL04REsT9Dj18YRGOxP4Mjshw6grE/HMM/QmehsT/6vTLry8CxP5ovZHpo4LE/STZdUz0Asj+FLFjaSiCyP5/kQXSRQLI/dea6hhFhsj98rxh4y4GyP/b0Zq+/orI/aOholO7Dsj9MfpqPWOWyPxW3MQr+BrM/d+ofbt8osz/4FBMm/UqzP9gnd51XbbM/UFt3QO+Psz8og/97xLKzP7Nlvb3X1bM/GxUidCn5sz8sS2MOuhy0P3zHfPyJQLQ/B7Axr5lktD819A2Y6Yi0P2iyZyl6rbQ/AaBg1kvStD/hc+cSX/e0P25TuVO0HLU/KkJjDkxCtT/dk0O5Jmi1Pz5hi8tEjrU/Sf8/vaa0tT8heTwHTdu1P5wMMyM4ArY/eamui2gptj81cxS83lC2P5BFpTCbeLY/zTt/Zp6gtj+tOp/b6Mi2Px994g578bY/ryMIgFUatz/FxrKveEO3P7cLah/lbLc/nDycUZuWtz/54p/Jm8C3P09ltQvn6rc/jacInX0VuD9drrIDYEC4P1xFu8aOa7g/SKgabgqXuD8rL7uC08K4P2n9eo7q7rg/4LMtHFAbuT8HJp63BEi5PxwSkO0Idbk/XNzBS12iuT9STe5gAtC5Pz5Tzrz4/bk/ocYa8EAsuj/zMY6M21q6P3mc5iTJibo/T1jnTAq5uj+t01qZn+i6P25tFKCJGLs/ykzy98hIuz9gPN84Xnm7P4yI1PtJqrs/H+Hb2ozbuz9ZPhFxJw28P03JpFoaP7w/rcfcNGZxvD8IixeeC6S8P21jzTUL17w/hJWSnGUKvT8xVBl0Gz69P7+9M18tcr0/gdzVAZymvT8UqxcBaNu9PzAcNwOSEL4/JCaarxpGvj/m0dCuAny+P9dNl6pKsr4/MATYTfPovj8tta1E/R+/P/+UZTxpV78/cm2B4zePvz9fw7npace/PwAAAAAAAMA/DE9AbH0cwD91rVKTLTnAP5q1i88QVsA//NngeydzwD+sg+nzcZDAP68y4JPwrcA/XqCjuKPLwD/d47e/i+nAP4KYRwepB8E/ZAYl7vslwT/fTMvThETBP0OPXxhEY8E/gyOyHDqCwT8cwz9CZ6HBP/i9MuvLwME/mi9kemjgwT9JNl1TPQDCP4csWNpKIMI/n+RBdJFAwj915rqGEWHCP3yvGHjLgcI/+PRmr7+iwj9o6GiU7sPCP0x+mo9Y5cI/FbcxCv4Gwz946h9u3yjDP/gUEyb9SsM/2Cd3nVdtwz9QW3dA74/DPyqD/3vEssM/s2W9vdfVwz8aFSJ0KfnDPyxLYw66HMQ/fMd8/IlAxD8HsDGvmWTEPzP0DZjpiMQ/aLJnKXqtxD8BoGDWS9LEP+Fz5xJf98Q/bFO5U7QcxT8qQmMOTELFP92TQ7kmaMU/QGGLy0SOxT9J/z+9prTFPyF5PAdN28U/nAwzIzgCxj97qa6LaCnGPzVzFLzeUMY/kEWlMJt4xj/NO39mnqDGP686n9voyMY/H33iDnvxxj+vIwiAVRrHP8XGsq94Q8c/uQtqH+Vsxz+cPJxRm5bHP/fin8mbwMc/T2W1C+fqxz+NpwidfRXIP12usgNgQMg/WUW7xo5ryD9IqBpuCpfIPysvu4LTwsg/af16juruyD/esy0cUBvJPwcmnrcESMk/HBKQ7Qh1yT9e3MFLXaLJP1JN7mAC0Mk/PlPOvPj9yT+hxhrwQCzKP/UxjozbWso/eZzmJMmJyj9PWOdMCrnKP63TWpmf6Mo/cG0UoIkYyz/KTPL3yEjLP2A83zheecs/jIjU+0mqyz8i4dvajNvLP1k+EXEnDcw/SsmkWho/zD+tx9w0ZnHMPwiLF54LpMw/bWPNNQvXzD+BlZKcZQrNPzFUGXQbPs0/v70zXy1yzT+B3NUBnKbNPxKrFwFo280/MBw3A5IQzj8kJpqvGkbOP+jR0K4CfM4/102Xqkqyzj8wBNhN8+jOPy21rUT9H88/ApVlPGlXzz9ybYHjN4/PP1/Duelpx88/AAAAAAAA0D8MT0BsfRzQP3WtUpMtOdA/mrWLzxBW0D/82eB7J3PQP66D6fNxkNA/rzLgk/Ct0D9goKO4o8vQP93jt7+L6dA/gphHB6kH0T9kBiXu+yXRP99My9OERNE/Q49fGERj0T+DI7IcOoLRPxzDP0JnodE/+L0y68vA0T+aL2R6aODRP0k2XVM9ANI/hyxY2kog0j+f5EF0kUDSP3XmuoYRYdI/fK8YeMuB0j/49Gavv6LSP2joaJTuw9I/TH6aj1jl0j8VtzEK/gbTP3jqH27fKNM/+BQTJv1K0z/YJ3edV23TP1Bbd0Dvj9M/KoP/e8Sy0z+zZb2919XTPxsVInQp+dM/LEtjDroc1D98x3z8iUDUPwewMa+ZZNQ/M/QNmOmI1D9osmcpeq3UPwGgYNZL0tQ/4XPnEl/31D9sU7lTtBzVPypCYw5MQtU/3ZNDuSZo1T9AYYvLRI7VP0n/P72mtNU/IXk8B03b1T+cDDMjOALWP3uprotoKdY/NXMUvN5Q1j+QRaUwm3jWP807f2aeoNY/rzqf2+jI1j8ffeIOe/HWP68jCIBVGtc/xcayr3hD1z+5C2of5WzXP5w8nFGbltc/+eKfyZvA1z9PZbUL5+rXP42nCJ19Fdg/Xa6yA2BA2D9ZRbvGjmvYP0ioGm4Kl9g/Ky+7gtPC2D9p/XqO6u7YP96zLRxQG9k/ByaetwRI2T8cEpDtCHXZP17cwUtdotk/Uk3uYALQ2T8+U868+P3ZP6HGGvBALNo/9TGOjNta2j95nOYkyYnaP09Y50wKudo/rdNamZ/o2j9wbRSgiRjbP8pM8vfISNs/YDzfOF552z+MiNT7SarbPyLh29qM29s/WT4RcScN3D9NyaRaGj/cP63H3DRmcdw/CIsXnguk3D9tY801C9fcP4GVkpxlCt0/MVQZdBs+3T+/vTNfLXLdP4Hc1QGcpt0/EqsXAWjb3T8wHDcDkhDePyQmmq8aRt4/6NHQrgJ83j/XTZeqSrLePzAE2E3z6N4/LbWtRP0f3z8ClWU8aVffP3JtgeM3j98/X8O56WnH3z8AAAAAAADgPwtPQGx9HOA/d61Sky054D+atYvPEFbgP/zZ4Hsnc+A/rIPp83GQ4D+xMuCT8K3gP2Cgo7ijy+A/3eO3v4vp4D+CmEcHqQfhP2MGJe77JeE/4UzL04RE4T9Dj18YRGPhP4Mjshw6guE/GsM/Qmeh4T/6vTLry8DhP5ovZHpo4OE/STZdUz0A4j+FLFjaSiDiP6DkQXSRQOI/dea6hhFh4j98rxh4y4HiP/b0Zq+/ouI/auholO7D4j9MfpqPWOXiPxW3MQr+BuM/d+ofbt8o4z/6FBMm/UrjP9gnd51XbeM/UFt3QO+P4z8og/97xLLjP7Rlvb3X1eM/GxUidCn54z8sS2MOuhzkP3zHfPyJQOQ/CbAxr5lk5D819A2Y6YjkP2iyZyl6reQ/AaBg1kvS5D/fc+cSX/fkP25TuVO0HOU/KkJjDkxC5T/dk0O5JmjlPz5hi8tEjuU/S/8/vaa05T8heTwHTdvlP5wMMyM4AuY/eamui2gp5j83cxS83lDmP5BFpTCbeOY/zTt/Zp6g5j+tOp/b6MjmPyF94g578eY/ryMIgFUa5z/FxrKveEPnP7cLah/lbOc/nzycUZuW5z/54p/Jm8DnP09ltQvn6uc/jacInX0V6D9frrIDYEDoP1xFu8aOa+g/SKgabgqX6D8rL7uC08LoP2f9eo7q7ug/4LMtHFAb6T8HJp63BEjpPxwSkO0Idek/XNzBS12i6T9VTe5gAtDpPz5Tzrz4/ek/ocYa8EAs6j/zMY6M21rqP3uc5iTJieo/T1jnTAq56j+t01qZn+jqP25tFKCJGOs/zUzy98hI6z9gPN84XnnrP4yI1PtJqus/H+Hb2ozb6z9cPhFxJw3sP03JpFoaP+w/rcfcNGZx7D8IixeeC6TsP29jzTUL1+w/hJWSnGUK7T8xVBl0Gz7tP7+9M18tcu0/f9zVAZym7T8UqxcBaNvtPzAcNwOSEO4/JCaarxpG7j/m0dCuAnzuP9pNl6pKsu4/MATYTfPo7j8tta1E/R/vP/+UZTxpV+8/dG2B4zeP7z9fw7npacfvPwAAAAAAAPA/C09AbH0c8D93rVKTLTnwP5q1i88QVvA//Nngeydz8D+sg+nzcZDwP7Ey4JPwrfA/YKCjuKPL8D/d47e/i+nwP4KYRwepB/E/ZgYl7vsl8T/hTMvThETxP0OPXxhEY/E/gyOyHDqC8T8awz9CZ6HxP/q9MuvLwPE/mi9kemjg8T9JNl1TPQDyP4UsWNpKIPI/oORBdJFA8j915rqGEWHyP3yvGHjLgfI/9vRmr7+i8j9q6GiU7sPyP0x+mo9Y5fI/FbcxCv4G8z936h9u3yjzP/oUEyb9SvM/2Cd3nVdt8z9QW3dA74/zPyiD/3vEsvM/tGW9vdfV8z8bFSJ0KfnzPyxLYw66HPQ/fMd8/IlA9D8JsDGvmWT0PzX0DZjpiPQ/aLJnKXqt9D8BoGDWS9L0P99z5xJf9/Q/blO5U7Qc9T8qQmMOTEL1P92TQ7kmaPU/PmGLy0SO9T9L/z+9prT1PyF5PAdN2/U/nAwzIzgC9j95qa6LaCn2PzdzFLzeUPY/kEWlMJt49j/NO39mnqD2P606n9voyPY/IX3iDnvx9j+vIwiAVRr3P8XGsq94Q/c/twtqH+Vs9z+fPJxRm5b3P/nin8mbwPc/T2W1C+fq9z+NpwidfRX4P1+usgNgQPg/XEW7xo5r+D9IqBpuCpf4Pysvu4LTwvg/Z/16juru+D/gsy0cUBv5PwcmnrcESPk/HBKQ7Qh1+T9c3MFLXaL5P1VN7mAC0Pk/PlPOvPj9+T+hxhrwQCz6P/MxjozbWvo/e5zmJMmJ+j9PWOdMCrn6P63TWpmf6Po/bm0UoIkY+z/NTPL3yEj7P2A83zheefs/jIjU+0mq+z8f4dvajNv7P1w+EXEnDfw/TcmkWho//D+tx9w0ZnH8PwiLF54LpPw/b2PNNQvX/D+ElZKcZQr9PzFUGXQbPv0/v70zXy1y/T9/3NUBnKb9PxSrFwFo2/0/MBw3A5IQ/j8kJpqvGkb+P+bR0K4CfP4/2k2Xqkqy/j8wBNhN8+j+Py21rUT9H/8//5RlPGlX/z90bYHjN4//P1/Duelpx/8/AAAAAAAAAEALT0BsfRwAQHetUpMtOQBAmrWLzxBWAED82eB7J3MAQKyD6fNxkABAsTLgk/CtAEBgoKO4o8sAQN3jt7+L6QBAgphHB6kHAUBmBiXu+yUBQOFMy9OERAFAQ49fGERjAUCDI7IcOoIBQB3DP0JnoQFA+r0y68vAAUCaL2R6aOABQEk2XVM9AAJAhSxY2kogAkCg5EF0kUACQHXmuoYRYQJAfK8YeMuBAkD29Gavv6ICQGroaJTuwwJATH6aj1jlAkAVtzEK/gYDQHfqH27fKANA+hQTJv1KA0DYJ3edV20DQFBbd0DvjwNAKIP/e8SyA0C0Zb2919UDQBsVInQp+QNALEtjDrocBEB8x3z8iUAEQAmwMa+ZZARANfQNmOmIBEBosmcpeq0EQAGgYNZL0gRA43PnEl/3BEBuU7lTtBwFQCpCYw5MQgVA3ZNDuSZoBUA+YYvLRI4FQEv/P72mtAVAIXk8B03bBUCcDDMjOAIGQHmprotoKQZAN3MUvN5QBkCQRaUwm3gGQM07f2aeoAZArTqf2+jIBkAhfeIOe/EGQK8jCIBVGgdAxcayr3hDB0C3C2of5WwHQJ88nFGblgdA+eKfyZvAB0BPZbUL5+oHQI2nCJ19FQhAX66yA2BACEBcRbvGjmsIQEioGm4KlwhAKy+7gtPCCEBr/XqO6u4IQOCzLRxQGwlAByaetwRICUAcEpDtCHUJQFzcwUtdoglAVU3uYALQCUA+U868+P0JQKHGGvBALApA8zGOjNtaCkB7nOYkyYkKQE9Y50wKuQpArdNamZ/oCkBubRSgiRgLQM1M8vfISAtAYDzfOF55C0CMiNT7SaoLQB/h29qM2wtAXD4RcScNDEBNyaRaGj8MQK3H3DRmcQxACIsXngukDEBvY801C9cMQISVkpxlCg1AMVQZdBs+DUC/vTNfLXINQITc1QGcpg1AFKsXAWjbDUAwHDcDkhAOQCQmmq8aRg5A5tHQrgJ8DkDaTZeqSrIOQDAE2E3z6A5ALbWtRP0fD0D/lGU8aVcPQHRtgeM3jw9AX8O56WnHD0AAAAAAAAAQQAtPQGx9HBBAd61Sky05EECatYvPEFYQQPzZ4HsncxBArIPp83GQEECxMuCT8K0QQGCgo7ijyxBA3eO3v4vpEECCmEcHqQcRQGYGJe77JRFA4UzL04REEUBDj18YRGMRQIMjshw6ghFAHcM/QmehEUD6vTLry8ARQJovZHpo4BFASTZdUz0AEkCFLFjaSiASQKDkQXSRQBJAdea6hhFhEkB8rxh4y4ESQPb0Zq+/ohJAauholO7DEkBMfpqPWOUSQBW3MQr+BhNAd+ofbt8oE0D6FBMm/UoTQNgnd51XbRNAUFt3QO+PE0Aog/97xLITQLRlvb3X1RNAGxUidCn5E0AsS2MOuhwUQHzHfPyJQBRACbAxr5lkFEA19A2Y6YgUQGiyZyl6rRRAAaBg1kvSFEDjc+cSX/cUQG5TuVO0HBVAKkJjDkxCFUDdk0O5JmgVQD5hi8tEjhVAS/8/vaa0FUAheTwHTdsVQJwMMyM4AhZAeamui2gpFkA3cxS83lAWQJBFpTCbeBZAzTt/Zp6gFkCtOp/b6MgWQCF94g578RZAryMIgFUaF0DFxrKveEMXQLcLah/lbBdAnzycUZuWF0D54p/Jm8AXQE9ltQvn6hdAjacInX0VGEBfrrIDYEAYQFxFu8aOaxhASKgabgqXGEArL7uC08IYQGv9eo7q7hhA4LMtHFAbGUAHJp63BEgZQBwSkO0IdRlAXNzBS12iGUBVTe5gAtAZQD5Tzrz4/RlAocYa8EAsGkDzMY6M21oaQHuc5iTJiRpAT1jnTAq5GkCt01qZn+gaQG5tFKCJGBtAzUzy98hIG0BgPN84XnkbQIyI1PtJqhtAH+Hb2ozbG0BcPhFxJw0cQE3JpFoaPxxArcfcNGZxHEAIixeeC6QcQG9jzTUL1xxAhJWSnGUKHUAxVBl0Gz4dQL+9M18tch1AhNzVAZymHUAUqxcBaNsdQDAcNwOSEB5AJCaarxpGHkDr0dCuAnweQNpNl6pKsh5AMATYTfPoHkAtta1E/R8fQP+UZTxpVx9AdG2B4zePH0Bfw7npaccfQAAAAAAAACBAC09AbH0cIEB0rVKTLTkgQJi1i88QViBA/9ngeydzIECvg+nzcZAgQLEy4JPwrSBAYKCjuKPLIEDd47e/i+kgQIKYRwepByFAYwYl7vslIUDeTMvThEQhQEaPXxhEYyFAhiOyHDqCIUAdwz9CZ6EhQPq9MuvLwCFAmi9kemjgIUBJNl1TPQAiQIUsWNpKICJAneRBdJFAIkBy5rqGEWEiQH+vGHjLgSJA+fRmr7+iIkBq6GiU7sMiQEx+mo9Y5SJAFbcxCv4GI0B36h9u3ygjQPYUEyb9SiNA1Sd3nVdtI0BTW3dA748jQCyD/3vEsiNAtGW9vdfVI0AbFSJ0KfkjQCxLYw66HCRAfMd8/IlAJEAFsDGvmWQkQDH0DZjpiCRAbLJnKXqtJEAFoGDWS9IkQONz5xJf9yRAblO5U7QcJUAqQmMOTEIlQN2TQ7kmaCVAPmGLy0SOJUBH/z+9prQlQB15PAdN2yVAoAwzIzgCJkB9qa6LaCkmQDdzFLzeUCZAkEWlMJt4JkDNO39mnqAmQK06n9voyCZAHX3iDnvxJkCrIwiAVRonQMnGsq94QydAuwtqH+VsJ0CfPJxRm5YnQPnin8mbwCdAT2W1C+fqJ0CNpwidfRUoQFuusgNgQChAV0W7xo5rKEBNqBpuCpcoQC8vu4LTwihAa/16juruKEDgsy0cUBspQAcmnrcESClAHBKQ7Qh1KUBc3MFLXaIpQFBN7mAC0ClAQ1POvPj9KUCmxhrwQCwqQPcxjozbWipAe5zmJMmJKkBPWOdMCrkqQK3TWpmf6CpAbm0UoIkYK0DITPL3yEgrQFs83zheeStAkYjU+0mqK0Ak4dvajNsrQFw+EXEnDSxATcmkWho/LECtx9w0ZnEsQAiLF54LpCxAamPNNQvXLEB/lZKcZQotQDZUGXQbPi1AxL0zXy1yLUCE3NUBnKYtQBSrFwFo2y1AMBw3A5IQLkAkJpqvGkYuQObR0K4CfC5A1E2XqkqyLkA1BNhN8+guQDK1rUT9Hy9ABJVlPGlXL0B0bYHjN48vQF/Duelpxy9AAAAAAAAAMEALT0BsfRwwQHStUpMtOTBAmLWLzxBWMED/2eB7J3MwQK+D6fNxkDBAsTLgk/CtMEBgoKO4o8swQN3jt7+L6TBAgphHB6kHMUBjBiXu+yUxQN5My9OERDFARo9fGERjMUCGI7IcOoIxQB3DP0JnoTFA+r0y68vAMUCaL2R6aOAxQEk2XVM9ADJAhSxY2kogMkCd5EF0kUAyQHjmuoYRYTJAf68YeMuBMkD59Gavv6IyQGroaJTuwzJATH6aj1jlMkAVtzEK/gYzQHfqH27fKDNA9hQTJv1KM0DVJ3edV20zQFNbd0DvjzNALIP/e8SyM0C0Zb2919UzQBsVInQp+TNALEtjDrocNEB8x3z8iUA0QAWwMa+ZZDRAMfQNmOmINEBssmcpeq00QAWgYNZL0jRA43PnEl/3NEBuU7lTtBw1QCpCYw5MQjVA3ZNDuSZoNUA+YYvLRI41QEf/P72mtDVAJXk8B03bNUCgDDMjOAI2QH2protoKTZAN3MUvN5QNkCQRaUwm3g2QM07f2aeoDZArTqf2+jINkAdfeIOe/E2QKsjCIBVGjdAycayr3hDN0C7C2of5Ww3QJ88nFGbljdA+eKfyZvAN0BPZbUL5+o3QI2nCJ19FThAW66yA2BAOEBXRbvGjms4QE2oGm4KlzhALy+7gtPCOEBr/XqO6u44QOCzLRxQGzlAByaetwRIOUAcEpDtCHU5QFzcwUtdojlAUE3uYALQOUBDU868+P05QKbGGvBALDpA9zGOjNtaOkB7nOYkyYk6QE9Y50wKuTpArdNamZ/oOkBubRSgiRg7QMhM8vfISDtAWzzfOF55O0CRiNT7Sao7QCTh29qM2ztAXD4RcScNPEBNyaRaGj88QK3H3DRmcTxACIsXngukPEBqY801C9c8QH+VkpxlCj1ANlQZdBs+PUDEvTNfLXI9QITc1QGcpj1AFKsXAWjbPUAwHDcDkhA+QCQmmq8aRj5A5tHQrgJ8PkDUTZeqSrI+QDUE2E3z6D5AMrWtRP0fP0AElWU8aVc/QHRtgeM3jz9A\",\"dtype\":\"float64\",\"shape\":[999]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[999]}},\"selected\":{\"id\":\"7903\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"7902\",\"type\":\"UnionRenderers\"}},\"id\":\"7859\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7925\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"7923\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7924\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7925\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"7927\",\"type\":\"CDSView\"}},\"id\":\"7926\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_color\":\"#7f2704\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7860\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7861\",\"type\":\"Line\"},{\"attributes\":{\"source\":{\"id\":\"7923\",\"type\":\"ColumnDataSource\"}},\"id\":\"7927\",\"type\":\"CDSView\"},{\"attributes\":{\"data_source\":{\"id\":\"7859\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7860\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7861\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"7863\",\"type\":\"CDSView\"}},\"id\":\"7862\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"7938\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"source\":{\"id\":\"7859\",\"type\":\"ColumnDataSource\"}},\"id\":\"7863\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"7939\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"0.001\"},\"renderers\":[{\"id\":\"7926\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7940\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"7870\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"7871\",\"type\":\"Selection\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"AOQ6uvbqND8AoGYvZRE1PwBoXHEcODU/AAgYEh1fNT8A4NekZ4Y1PwAMIL78rTU/AMC989zVNT8AbMrcCP41PwAorxGBJjY/ABAoLEZPNj8ApEfHWHg2PwA8en+5oTY/AISJ8mjLNj8ADKC/Z/U2PwDQTIe2Hzc/ANSG61VKNz8A3LCPRnU3PwAQnRiJoDc/AMCQLB7MNz8AMEhzBvg3PwBs+pVCJDg/ADRdP9NQOD8A4KgbuX04PwBcnNj0qjg/ADiBJYfYOD8AuC+zcAY5PwDwEjSyNDk/APgsXExjOT8ALBvhP5I5PwBkGnqNwTk/AHAL4DXxOT8ARHfNOSE6PwCkk/6ZUTo/AIBHMVeCOj8AhC8lcrM6PwDcopvr5Do/AKy3V8QWOz8A9Ece/Ug7PwBM9rWWezs/AMAy55GuOz8AtD987+E7PwD4NkGwFTw/ALAOBNVJPD8AlJ6UXn48PwD4pMRNszw/ACzMZ6PoPD8AuK9TYB49PwC44V+FVD0/AGjwZROLPT8AhGtBC8I9PwD86c9t+T0/AJwP8TsxPj8AtJKGdmk+PwD4QXQeoj4/AGwKoDTbPj8AQP3xuRQ/PwD4VVSvTj8/AHyAsxWJPz8ASB/+7cM/PwDMESU5/z8/AFy9DXwdQD8AOmPrlTtAPwDaWKfqWUA/AAqovnp4QD8AaomvRpdAPwDQZ/lOtkA/AL7jHJTVQD8A6NabFvVAPwC4V/nWFEE/AOS8udU0QT8AHqFiE1VBPwC+5nqQdUE/AIC7ik2WQT8AUpwbS7dBPwAwWbiJ2EE/AAoZ7Qn6QT8AsF1HzBtCPwDgB1bRPUI/AFRbqRlgQj8A3ALTpYJCPwCYFGZ2pUI/ACgW94vIQj8A/gAc5+tCPwDERmyID0M/ALbVgHAzQz8ALh30n1dDPwAkEmIXfEM/ANQzaNegQz8AapCl4MVDPwC4yboz60M/ABgaStEQRD8APln3uTZEPwAwAWjuXEQ/AFIzQ2+DRD8AfL0xPapEPwAiH95Y0UQ/AJqO9ML4RD8Aav4ifCBFPwCyIhmFSEU/AKR2iN5wRT8AGkIkiZlFPwA0n6GFwkU/ABSAt9TrRT8AsLQedxVGPwC68JFtP0Y/AJTRzbhpRj8AcOSQWZRGPwBwrJtQv0Y/AOyosJ7qRj8A0luURBZHPwASUA1DQkc/ACwg5JpuRz8A3HzjTJtHPwDOM9hZyEc/AIA2kcL1Rz8AOKHfhyNIPwASwpaqUUg/ACogjCuASD8A5IKXC69IPwBY+ZJL3kg/AMrhWuwNST8AUvHN7j1JPwCcO81Tbkk/AL46PByfST8APNcASdBJPwAkcAPbAUo/AEzjLtMzSj8AsJVwMmZKPwD0e7j5mEo/ABAj+SnMSj8ABrknxP9KPwDkFTzJM0s/ALzEMDpoSz8A7gwDGJ1LPwB2+7Jj0ks/AHRsQx4ITD8A0hS6SD5MPwAYjB/kdEw/AGRWf/GrTD8Aju7nceNMPwB60GpmG00/AJCDHNBTTT8AXqUUsIxNPwB09G0Hxk0/AFpbRtf/TT8Ayvu+IDpOPwAKOvzkdE4/AHzIJSWwTj8AYrNm4utOPwDObO0dKE8/ANLY69hkTz8A0lmXFKJPPwAg3SjS308/AN5zbgkPUD8ArNH5ay5QPwDKdVgRTlA/ALctLvptUD8AeK0gJ45QPwCOlteYrlA/AAx//E/PUD8Ax/g6TfBQPwCsmECREVE/ADX+vBwzUT8A/tph8FRRPwB7+uIMd1E/ANdJ9nKZUT8A7d9TI7xRPwBwBbYe31E/ACs92WUCUj8Ad0x8+SVSPwDIQ2DaSVI/AGqHSAluUj8AY9j6hpJSPwCBXT9Ut1I/AJCs4HHcUj8At9Or4AFTPwALY3ChJ1M/AEJ2ALVNUz8Amr4wHHRTPwDyjNjXmlM/AA3c0ejBUz8ABFv5T+lTPwDxdy4OEVQ/AMVqUyQ5VD8AWEBNk2FUPwCn5QNcilQ/AFMzYn+zVD8ASflV/txUPwCtCtDZBlU/AP5JxBIxVT8AbbUpqltVPwB8c/qghlU/AM7fM/ixVT8AQ5jWsN1VPwBIiubLCVY/AHYAa0o2Vj8AY7BuLWNWPwDNyP91kFY/APj/LyW+Vj8AZqIUPOxWPwDCoca7Glc/ADCkYqVJVz8A3BMJ+nhXPwDSLt66qFc/ADcXCunYVz8AyuO4hQlYPwC5sBqSOlg/ANWwYw9sWD8AEz/M/p1YPwBy8JBh0Fg/ADim8jgDWT8AjqA2hjZZPwCCkaZKalk/AGawkIeeWT8AnM1HPtNZPwDDZiNwCFo/AFW7fx4+Wj8Ar+G9SnRaPwCM3EP2qlo/AO+wfCLiWj8Ah3zY0BlbPwCIjMwCUls/AAV107mKWz8AwCht98NbPwCAER+9/Vs/APUodAw4XD8AExL95nJcPwACM1BOrlw/AKbPCUTqXD8ApSTMySZdPwAWgz/hY10/AMZsEoyhXT8ADrH5y99dPwBlirCiHl4/AH28+BFeXj8AILOaG55ePwCwoWXB3l4/AF6jLwUgXz8AHtzV6GFfPwBRmjxupF8/ADN5T5fnXz8ADcIAsxVgP4A3rSbuN2A/AEWqGn5aYD8AsNThY31gPwCESoWgoGA/ABdAEjXEYD8ANBSaIuhgP4C/ZDJqDGE/gNQj9QwxYT+AY60ADFZhPwBQ3Xdoe2E/gBUmgiOhYT8A9qdLPsdhP4CzSAW67WE/AN3L5JcUYj8Aresk2TtiPwCDcgV/Y2I/gP1Uy4qLYj+ArczA/bNiPwB7czXZ3GI/gKpffh4GYz8AmED2zi9jP4AofP3rWWM/gPBM+naEYz+AHeFYca9jP4Akeovc2mM/gDmNCroGZD+AmeRUCzNkP4Crwe/RX2Q/AP7/Zg+NZD8AJjlNxbpkPwCP6Tv16GQ/gDSW06AXZT8AWvO7yUZlP4BADKRxdmU/AOZrQpqmZT8A0UZVRddlP4D5paJ0CGY/gM6S+Ck6Zj+AZ0QtZ2xmP4DmTR8un2Y/ABnOtYDSZj+AXqDgYAZnP4DbjpjQOmc/AA+G39FvZz8AxcnAZqVnPwB/K1GR22c/AFxCr1MSaD+AgKQDsEloP4AdIoGogWg/gBQCZT+6aD+AS0D3dvNoPwDDzYpRLWk/gHXSfdFnaT+AEvE5+aJpP4CmjDTL3mk/gD4Q70kbaj8AlTj3d1hqP4DjX+dXlmo/ANzLZuzUaj8A7P0pOBRrP4DRBfM9VGs/AJ/WkQCVaz8APJ7kgtZrP4B9H9jHGGw/gOkOaNJbbD8AQnKfpZ9sPwDpAplE5Gw/AD+Tf7IpbT8AEXeO8m9tP4Ay7xEIt20/gGSYZ/b+bT+AoN3+wEduP4DubVlrkW4/AN+1C/nbbj8A0ly9bSdvPwAmxinNc28/gHyWIBvBbz/AmR7DrQdwP4AgQSpJL3A/gEiMzWFXcD8AkBrA+X9wP4B3lSATqXA/AAaGGbDScD9A7afh0vxwPwBnP7x9J3E/gOhx+bJScT+AxKH2dH5xP8DdzB7GqnE/wILu6qjXcT8AlmTiHwVyPwAjWJstM3I/gIIpu9Rhcj8AMeD2F5FyP4CAnhP6wHI/QEcZ533xcj/AuxNYpiJzP0Cj3152VHM/QAPiBfGGcz9AgxxqGbpzP0Cyu7vy7XM/wGCqPoAidD9ASipLxVd0P4BAck7FjXQ/wBlSy4PEdD+AnNxaBPx0P4CtF61KNHU/wP+yiVptdT8Ak8XQN6d1P0BJknvm4XU/QONTnWoddj+AtRBkyFl2P0BwdhkEl3Y/QFK+IyLVdj+AJpoGJxR3P4B1KmQXVHc/gE/+/feUdz9AIh22zdZ3P4ANG5CdGXg/QDM4smxdeD8AhItmQKJ4P8CPORwe6Hg/AOy3aAsveT/AxR0JDnd5P8A+guMrwHk/gDxpCGsKej+AXj+00VV6P0DP5VBmono/QLxOdy/wej/APivxMz97P4CSq7p6j3s/gINSBAvhez8ABN007DN8PwDtPusliHw/AP21AMDdfD8AL/SKwjR9PwCiYt41jX0/AEx+kCLnfT+A0E96kUJ+P4Dk/7qLn34/ALuJuhr+fj/AD40sSF5/P0B9QRMewH8/IHFGYdMRgD8gXp9xdkSAPwA3Obv9d4A/wEyN7G6sgD/g4dvjz+GAP2BVHrEmGIE/AGkRmHlPgT8A/FgSz4eBPwCpvtEtwYE/wMqMwpz7gT/AhgcOIzeCP8CWBR3Ic4I/gKOqmpOxgj/AJ0V3jfCCP6DrUeu9MIM/QFGnei1ygz9Azsr35LSDP0AWc4ft+IM/QKU5pFA+hD/gh34iGIWEP2BwgTROzYQ/oF2zbv0WhT+ATkTMMGKFP2DB8LPzroU/QPgS/VH9hT9QSfz0V02GP6AJm2QSn4Y/APdxlo7yhj+QWuZc2keHP9B/6hgEn4c/sIAKwRr4hz8g1uHoLVOIP1CTAMlNsIg/wLJHR4sPiT9wZcT/93CJP3DpEk6m1Ik/0AxSV6k6ij/QMLEUFaOKP/BYo17+DYs/AJrC+Hp7iz/wGHCeoeuLP1CuPRCKXow/AD8vIk3UjD8w7OLKBE2NP6BasDPMyI0/4I/Qyb9Hjj9gL6FQ/cmOP6BRF/WjT48/gK93YtTYjz94wDVs2DKQP9CWRaEue5A/MOa8qH/FkD/IONdK3xGRPwg4BU5iYJE/8Psuhh6xkT8gdv/kKgSSP3AuTIufWZI/OOSt25Wxkj/YFmCOKAyTP+j3fsZzaZM/uN+8KJXJkz/4+anzqyyUP+iTqhnZkpQ/mCi6XD/8lD/QBhtsA2mVP/gjFARM2ZU/0F/gD0JNlj+wFPTNEMWWPwBKv/blQJc/ECAU5vHAlz/oClrHZ0WYP8AJt8R9zpg/uCNYOW1cmT+44wHncu+ZP3AsEC/Ph5o/UEwKT8Ylmz9QgOygoMmbP6i6Qt+qc5w/YDcpbTYknT+Atj2imdudPzCrfxowmp4/CLkNCltgnz8obU3KQBegP0RpLpSIgqA/pKoL7j7yoD9cYOFnoWahPzDIkEfx36E/QPSxunNeoj8E910IcuKiPxSvP8I5bKM/tDQR9Bz8oz9ohn5QcpKkP5qWM1qVL6U/XMCkh+bTpT+OwuVfy3+mP0Yhpo6uM6c/wkcs7f/vpz/48O19NLWoP64QMFjGg6k/+aDvgDRcqj/DQj2uAj+rP+l8NvK4LKw/EyzoSuMlrT+dYK4UESuuP8EKHl3UPK8/1HCZiuAtsD+M/TERNsSwP64Osie1YbE/rNZVj6cGsj9bdDfBVbOyPx95oT8GaLM/zaIr4PwktD9Q5NgSeuq0P/gNFCu6uLU/Iyzfr/SPtj8ND8G4W3C3P4MN6FwbWrg/vzOSOVlNuT/8MBIUNEq6P+PXxZrDULs/k/UWRxhhvD9Bxj9hO3u9P89wIyUvn74/UWozBu/Mvz8Jg5YHOILAP3AgxazQIsE/vmvtSzbIwT+++fFWW3LCP0t5rSgwIcM/kTUlV6PUwz/hU1EFoozEP5dwiDIYScU/WEn1BfEJxj85wtoUF8/GP79vxqJ0mMc/XRAn2/NlyD80nQcEfzfJP2j07qkADco/99oWxWPmyj/WhVPYk8PLP4XuHwp9pMw/EF5UOAyJzT+wYRUHL3HOP8t5i+vTXM8/kmN4GfUl0D+amz0DMZ/QP2IwUDYWGtE/zLgSpJ2W0T9W+7CqwBTSP/hKCBN5lNI/GrH+DcEV0z+xUmsxk5jTP0J7rXTqHNQ/5SsLLcKi1D8Z9esJFirVPw1IARHistU/tUJqmiI91j9mPt5M1MjWPzwS5xn0Vdc/l/oxOn/k1z/1a/wpc3TYP4euoKXNBdk/OPhEpoyY2T+7xK5erizaP2FmOzgxwto/Hin+zxNZ2z+g4wP0VPHbP7hsu6Dzitw/uyCC/u4l3T8qZ1NfRsLdP/kAmjz5X94/V8ghNQf/3j8WeigLcJ/fP5AKRtGZIOA/KK2K/yhy4D8Ae26hZcTgP4byZNZPF+E/s9aTy+dq4T/Ehym7Lb/hPyLwveshFOI/LGW9r8Rp4j9q4txkFsDiP9wMl3MXF+M/XnSxTshu4z+Hj8lyKcfjP4726GU7IOQ/Wmggt/555D9yLCn+c9TkP/RpDNubL+U/XxPQ9XaL5T8SDCn+BejlP+IyMqtJReY/qAEou0Kj5j/Kdyjz8QHnP7AJ9x5YYec/sFTEEHbB5z/nWfmgTCLoP64HBq7cg+g/UtwyHCfm6D/8cHXVLEnpP+C9R8nurOk/AO2B7G0R6j/VkjY5q3bqP7gnka6n3Oo/Qp62UGRD6z8q9qco4qrrP/qsJkQiE+w/ou+atSV87D+8cvuT7eXsP87Xtvp6UO0/pIieCc+77T+K8tLk6ifuP5kNsbTPlO4/GBzBpX4C7z/IkKbo+HDvP+AKEbI/4O8/UyxXHSoo8D+juI7fm2DwP2As8b91mfA/RHCtYLjS8D/PHNplZAzxP9qlcHV6RvE/5eNIN/uA8T/C9RRV57vxP2Z2XXo/9/E//gF+VAQz8j+TBqKSNm/yPxTcweXWq/I/jiCgAObo8j+qVMeXZCbzP6K1h2FTZPM/alH1FbOi8z+CUuZuhOHzP3KA8SfIIPQ/pfJs/n5g9D9N82yxqaD0P9APwwFJ4fQ/LlX9sV0i9T/OtWWG6GP1P0aXAUXqpfU/D4aRtWPo9T/zDZGhVSv2Pwa1NtTAbvY/Phh0Gqay9j/kJ/ZCBvf2PwaDJR7iO/c/DPAmfjqB9z/o8ds2EMf3Pz144x1kDfg//KmaCjdU+D/8yB3WiZv4P/YtSVtd4/g/ulu6drIr+T9OKdEGinT5P38Bsevkvfk/qDdCB8QH+j+wcDM9KFL6P/of+3ISnfo/HxfZj4Po+j84KNh8fDT7PyDazyT+gPs/5S1mdAnO+z9kdRFanxv8PwQ6GsbAafw/kDOdqm64/D9hTo37qQf9PwLBta5zV/0/NDC8u8yn/T+U4SIctvj9Pwz8SsswSv4/RtZ2xj2c/j9TUswM3u7+P4xGV58SQv8/FPMLgdyV/z9mhMm2POr/P+BQriOaHwBA/gPBHWJKAEAImPTOdnUAQMiAm73YoABAPEgEcYjMAEAk83pxhvgAQCFrSkjTJAFAbu69f29RAUDhhCKjW34BQFB6yD6YqwFARt4E4CXZAUDQCDMVBQcCQKQktm02NQJAKr76ebpjAkC2V3jLkZICQJwCs/S8wQJAbP08iTzxAkDaVrgdESEDQLCV2Ec7UQNAamVknruBA0DURze5krIDQDJLQzHB4wNATsWSoEcVBEALE0qiJkcEQORcqdJeeQRA318Oz/CrBEA3O/Y13d4EQJZC/6YkEgVABNXqwsdFBUBWOJ8rx3kFQC55KYQjrgVAiE+/cN3iBUDuB8GW9RcGQBRxu5xsTQZAFM5pKkODBkAlzbfoebkGQM6Cw4ER8AZAxmnfoAonB0AuZ5TyZV4HQGjToyQklgdAW4cJ5kXOB0Bm7v3mywYIQK8c+Ni2PwhAGuqvbgd5CECYESBcvrIIQFZViFbc7AhAHKdvFGInCUB7VaZNUGIJQFI9SLunnQlAMwC/F2nZCUAcP8QelRUKQOXZY40sUgpANDP+ITCPCkBAeUqcoMwKQATzWL1+CgtAOlKVR8tIC0DaCcn+hocLQIqpHaiyxgtAgD0fCk8GDEA4s77sXEYMQPFCVBndhgxAwt2hWtDHDEC2oNV8NwkNQHJMjE0TSw1A4sHTm2SNDUBygy04LNANQJQ7kfRqEw5AtkdvpCFXDkBjSLMcUZsOQCS2xjP63w5AmXuTwR0lD0AzlIafvGoPQDywkqjXsA9Am90yuW/3D0D6mrbXQh8QQNHIajUNQxBA8h9IZhdnEEACYqrbYYsQQABMuAftrxBAAPpkXbnUEECcTXFQx/kQQPhWbVUXHxFAfMC54alEEUAePYlrf2oRQGL54WmYkBFADg+fVPW2EUBz+3Gklt0RQKQY5NJ8BBJALhlYWqgrEkC2hgu2GVMSQDRDGGLRehJALA1228+iEkB8BvyfFcsSQCA+Yi6j8xJApjxDBnkcE0Ckkx2ol0UTQO5vVZX/bhNAvC42ULGYE0CZ9fNbrcITQHpNrTz07BNAgMBsd4YXFEDieiqSZEIUQJ7uzROPbRRAaHovhAaZFEBiExpsy8QUQPrxTFXe8BRAwUF9yj8dFUBz1FdX8EkVQPDXgojwdhVAb4+f60CkFUDAD0wP4tEVQKr+JIPU/xVApFXH1xguFkCGJ9Ker1wWQJNp6GqZixZApL+yz9a6FkC5S+FhaOoWQK6ALbdOGhdATPhbZopKF0CYTD4HHHsXQKL0tDIErBdAjCSxgkPdF0D6sDaS2g4YQOT1Xf3JQBhA/MBVYRJzGEBWP2VctKUYQKzu7Y2w2BhAAZJtlgcMGUDyKYAXuj8ZQHrw4bPIcxlARlhxDzSoGUCcDzHP/NwZQAgHSpkjEhpAcnsNFalHGkASBPfqjX0aQOWjrsTSsxpAEN8KTXjqGkDQ0xIwfyEbQE5XABvoWBtAKBZCvLOQG0DOuH3D4sgbQNgLkuF1ARxABiyZyG06HEBMtuory3McQLr7HcCOrRxAYjkMO7nnHEAN1NJTSyIdQE6Y1cJFXR1AOP7AQamYHUBYcYyLdtQdQL6cfFyuEB5AGLslclFNHkAC622LYIoeQHSHj2jcxx5ASIQby8UFH0BWz/t1HUQfQGS1dS3kgh9AnksstxrCH0CnbhHt4AAgQPWuXy/tICBAyG9mhzJBIEDpBr9asWEgQIbWtw9qgiBA+o5VDV2jIEAWc1S7isQgQFqeKYLz5SBAuE0Ey5cHIUB+Ks//dykhQJaXMYuUSyFALAGR2O1tIUCULhJUhJAhQIKWmmpYsyFA2rXRiWrWIUCraCIgu/khQJ5FvJxKHSJA5/uUbxlBIkCSs2kJKGUiQE5wwNt2iSJAuHbpWAauIkD7swD01tIiQEEo7yDp9yJAX1NsVD0dI0AupP8D1EIjQHbqAaataCNAXMuescqOI0B4ONaeK7UjQIbpfebQ2yNAudhCArsCJECWwaps6ikkQMCiFaFfUSRAMkK/Gxt5JEBEtMBZHaEkQHLlEdlmySRA3CaLGPjxJECEveaX0RolQFx0wtfzQyVACDGhWV9tJUCwi+yfFJclQFxp9i0UwSVAY5n6h17rJUCjdSAz9BUmQKKFfLXVQCZAniQSlgNsJkCeKtVcfpcmQDaYq5JGwyZAt0VvwVzvJkD4lO9zwRsnQFgm8zV1SCdAvJA5lHh1J0CkHH0czKInQFCCdF1w0CdAEKvU5mX+J0B+dVJJrSwoQEZ9pBZHWyhAsuWE4TOKKECeJ7M9dLkoQJfi9b8I6ShAN7Ec/vEYKUDDAAKPMEkpQBTsjArFeSlA2hmzCbCqKUD4nXom8tspQKje+/uLDSpAmnxjJn4/KkCkPvRCyXEqQNwACfBtpCpAIacWzWzXKkAfE656xgorQNAdfpp7PitAZpRVz4xyK0ANOSW9+qYrQOnGAQnG2ytA2vklWe8QLEDLmfRUd0YsQLqJ+qRefCxAVNrw8qWyLEBd4L7pTeksQJROfDVXIC1AwFNzg8JXLUAcvCKCkI8tQMAWQOHBxy1A1N65UVcALkCcqLmFUTkuQGZSpjCxci5AXDkmB3esLkBSciG/o+YuQFQGxA84IS9AmTOAsTRcL0AMshBempcvQB38etBp0y9Ays2I4tEHMEA+Pbt8JCYwQBecThatRDBASsFmD2xjMECsudLIYYIwQOj4DaSOoTBASIxBA/PAMEDWT0VJj+AwQIglodljADFAoi6OGHEgMUBGB/hqt0AxQDQEfjY3YTFArnJ04fCBMUDE2uXS5KIxQLBDlHITxDFAhnr6KH3lMUAwW01fIgcyQKIbfX8DKTJAcpk29CBLMkCvqeQoe20yQCJrsYkSkDJAw5qHg+eyMkDH6hOE+tUyQORbxvlL+TJABZnTU9wcM0BvVTYCrEAzQFqtsHW7ZDNA8IjNHwuJM0DaAeJym60zQBrLDuJs0jNAt5tB4X/3M0Cgmzbl1Bw0QETTeWNsQjRAqZ1o0kZoNEAcHTOpZI40QHqy3V/GtDRAGHdCb2zbNEAkuRJRVwI1QAR72H+HKTVACfX3dv1QNUD0GbGyuXg1QDIeIbC8oDVAywFE7QbJNUAOHfbomPE1QASw9SJzGjZAo3TkG5ZDNkDDM0lVAm02QBZdkVG4ljZAtKESlLjANkCwkQyhA+s2QHU8qv2ZFTdAGtQDMHxAN0CUUyC/qms3QOon9zImlzdAJ9xxFO/CN0CsyG3tBe83QCDFvUhrGzhAk90rsh9IOECiCnu2I3U4QLPsaON3ojhANoqvxxzQOEAcEQfzEv44QDKbJ/ZaLDlABvbKYvVaOUCeba7L4ok5QHyalMQjuTlA7DJH4rjoOUBz35i6ohg6QJgSZ+ThSDpA3uOb93Z5OkAq7i+NYqo6QEIxLD+l2zpABPerqD8NO0Clu95lMj87QH0ZChR+cTtAPbiLUSOkO0CSP9u9Itc7QEJNjPl8CjxAyG5QpjI+PEBZHvlmRHI8QLzDed+ypjxAZ7jptH7bPEBQT4aNqBA9QGHgtBAxRj1AjtcE5xh8PUCOxzG6YLI9QFiAJTUJ6T1AGin6AxMgPkBiXvzTflc+QJ5TrVNNjz5AmfjEMn/HPkDCIjQiFQA/QA==\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"8001\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"8000\",\"type\":\"UnionRenderers\"}},\"id\":\"7941\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"label\":{\"value\":\"1e-05\"},\"renderers\":[{\"id\":\"7862\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7872\",\"type\":\"LegendItem\"},{\"attributes\":{\"line_color\":\"#4292c6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7942\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"7921\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"7920\",\"type\":\"UnionRenderers\"}},\"id\":\"7873\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7943\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"7941\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7942\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7943\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"7945\",\"type\":\"CDSView\"}},\"id\":\"7944\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_color\":\"#08519c\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7874\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7875\",\"type\":\"Line\"},{\"attributes\":{\"source\":{\"id\":\"7941\",\"type\":\"ColumnDataSource\"}},\"id\":\"7945\",\"type\":\"CDSView\"},{\"attributes\":{\"data_source\":{\"id\":\"7873\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7874\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7875\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"7877\",\"type\":\"CDSView\"}},\"id\":\"7876\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"7958\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"source\":{\"id\":\"7873\",\"type\":\"ColumnDataSource\"}},\"id\":\"7877\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"7959\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"0.01\"},\"renderers\":[{\"id\":\"7944\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7960\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"7886\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[999]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[999]}},\"selected\":{\"id\":\"8023\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"8022\",\"type\":\"UnionRenderers\"}},\"id\":\"7961\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"7887\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"0.0001\"},\"renderers\":[{\"id\":\"7876\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7888\",\"type\":\"LegendItem\"},{\"attributes\":{\"line_color\":\"#f16913\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7962\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[999]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[999]}},\"selected\":{\"id\":\"7939\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"7938\",\"type\":\"UnionRenderers\"}},\"id\":\"7889\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7963\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"7961\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7962\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7963\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"7965\",\"type\":\"CDSView\"}},\"id\":\"7964\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_color\":\"#a63603\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7890\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7891\",\"type\":\"Line\"},{\"attributes\":{\"source\":{\"id\":\"7961\",\"type\":\"ColumnDataSource\"}},\"id\":\"7965\",\"type\":\"CDSView\"},{\"attributes\":{\"data_source\":{\"id\":\"7889\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7890\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7891\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"7893\",\"type\":\"CDSView\"}},\"id\":\"7892\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"7978\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"source\":{\"id\":\"7889\",\"type\":\"ColumnDataSource\"}},\"id\":\"7893\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"7979\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"0.01\"},\"renderers\":[{\"id\":\"7964\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7980\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"7902\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"AAAAAAAAoD8LT0BsfRygP3StUpMtOaA/mrWLzxBWoD/82eB7J3OgP6yD6fNxkKA/rjLgk/CtoD9goKO4o8ugP93jt7+L6aA/gphHB6kHoT9jBiXu+yWhP+FMy9OERKE/Q49fGERjoT+DI7IcOoKhPxrDP0JnoaE/+r0y68vAoT+aL2R6aOChP0k2XVM9AKI/hSxY2kogoj+g5EF0kUCiP3XmuoYRYaI/fK8YeMuBoj/29Gavv6KiP2roaJTuw6I/TH6aj1jloj8VtzEK/gajP3fqH27fKKM/9hQTJv1Koz/YJ3edV22jP1Bbd0Dvj6M/KIP/e8Syoz+xZb2919WjPxsVInQp+aM/LEtjDrocpD98x3z8iUCkPwWwMa+ZZKQ/NfQNmOmIpD9osmcpeq2kPwGgYNZL0qQ/33PnEl/3pD9uU7lTtBylPypCYw5MQqU/3ZNDuSZopT8+YYvLRI6lP0v/P72mtKU/IXk8B03bpT+cDDMjOAKmP3mprotoKaY/N3MUvN5Qpj+QRaUwm3imP807f2aeoKY/rTqf2+jIpj8dfeIOe/GmP68jCIBVGqc/xcayr3hDpz+3C2of5WynP588nFGblqc/+eKfyZvApz9PZbUL5+qnP42nCJ19Fag/W66yA2BAqD9cRbvGjmuoP0ioGm4Kl6g/Ky+7gtPCqD9n/XqO6u6oP+CzLRxQG6k/ByaetwRIqT8cEpDtCHWpP1zcwUtdoqk/VU3uYALQqT8+U868+P2pP6HGGvBALKo/8zGOjNtaqj97nOYkyYmqP09Y50wKuao/rdNamZ/oqj9ubRSgiRirP8hM8vfISKs/YDzfOF55qz+MiNT7SaqrPx/h29qM26s/XD4RcScNrD9NyaRaGj+sP63H3DRmcaw/CIsXngukrD9qY801C9esP4SVkpxlCq0/MVQZdBs+rT+/vTNfLXKtP3/c1QGcpq0/FKsXAWjbrT8wHDcDkhCuPyQmmq8aRq4/5tHQrgJ8rj/aTZeqSrKuPzAE2E3z6K4/LbWtRP0frz//lGU8aVevP3RtgeM3j68/X8O56WnHrz8AAAAAAACwPwtPQGx9HLA/da1Sky05sD+atYvPEFawP/zZ4Hsnc7A/rIPp83GQsD+vMuCT8K2wP2Cgo7ijy7A/3eO3v4vpsD+CmEcHqQexP2QGJe77JbE/4UzL04REsT9Dj18YRGOxP4Mjshw6grE/HMM/QmehsT/6vTLry8CxP5ovZHpo4LE/STZdUz0Asj+FLFjaSiCyP5/kQXSRQLI/dea6hhFhsj98rxh4y4GyP/b0Zq+/orI/aOholO7Dsj9MfpqPWOWyPxW3MQr+BrM/d+ofbt8osz/4FBMm/UqzP9gnd51XbbM/UFt3QO+Psz8og/97xLKzP7Nlvb3X1bM/GxUidCn5sz8sS2MOuhy0P3zHfPyJQLQ/B7Axr5lktD819A2Y6Yi0P2iyZyl6rbQ/AaBg1kvStD/hc+cSX/e0P25TuVO0HLU/KkJjDkxCtT/dk0O5Jmi1Pz5hi8tEjrU/Sf8/vaa0tT8heTwHTdu1P5wMMyM4ArY/eamui2gptj81cxS83lC2P5BFpTCbeLY/zTt/Zp6gtj+tOp/b6Mi2Px994g578bY/ryMIgFUatz/FxrKveEO3P7cLah/lbLc/nDycUZuWtz/54p/Jm8C3P09ltQvn6rc/jacInX0VuD9drrIDYEC4P1xFu8aOa7g/SKgabgqXuD8rL7uC08K4P2n9eo7q7rg/4LMtHFAbuT8HJp63BEi5PxwSkO0Idbk/XNzBS12iuT9STe5gAtC5Pz5Tzrz4/bk/ocYa8EAsuj/zMY6M21q6P3mc5iTJibo/T1jnTAq5uj+t01qZn+i6P25tFKCJGLs/ykzy98hIuz9gPN84Xnm7P4yI1PtJqrs/H+Hb2ozbuz9ZPhFxJw28P03JpFoaP7w/rcfcNGZxvD8IixeeC6S8P21jzTUL17w/hJWSnGUKvT8xVBl0Gz69P7+9M18tcr0/gdzVAZymvT8UqxcBaNu9PzAcNwOSEL4/JCaarxpGvj/m0dCuAny+P9dNl6pKsr4/MATYTfPovj8tta1E/R+/P/+UZTxpV78/cm2B4zePvz9fw7npace/PwAAAAAAAMA/DE9AbH0cwD91rVKTLTnAP5q1i88QVsA//NngeydzwD+sg+nzcZDAP68y4JPwrcA/XqCjuKPLwD/d47e/i+nAP4KYRwepB8E/ZAYl7vslwT/fTMvThETBP0OPXxhEY8E/gyOyHDqCwT8cwz9CZ6HBP/i9MuvLwME/mi9kemjgwT9JNl1TPQDCP4csWNpKIMI/n+RBdJFAwj915rqGEWHCP3yvGHjLgcI/+PRmr7+iwj9o6GiU7sPCP0x+mo9Y5cI/FbcxCv4Gwz946h9u3yjDP/gUEyb9SsM/2Cd3nVdtwz9QW3dA74/DPyqD/3vEssM/s2W9vdfVwz8aFSJ0KfnDPyxLYw66HMQ/fMd8/IlAxD8HsDGvmWTEPzP0DZjpiMQ/aLJnKXqtxD8BoGDWS9LEP+Fz5xJf98Q/bFO5U7QcxT8qQmMOTELFP92TQ7kmaMU/QGGLy0SOxT9J/z+9prTFPyF5PAdN28U/nAwzIzgCxj97qa6LaCnGPzVzFLzeUMY/kEWlMJt4xj/NO39mnqDGP686n9voyMY/H33iDnvxxj+vIwiAVRrHP8XGsq94Q8c/uQtqH+Vsxz+cPJxRm5bHP/fin8mbwMc/T2W1C+fqxz+NpwidfRXIP12usgNgQMg/WUW7xo5ryD9IqBpuCpfIPysvu4LTwsg/af16juruyD/esy0cUBvJPwcmnrcESMk/HBKQ7Qh1yT9e3MFLXaLJP1JN7mAC0Mk/PlPOvPj9yT+hxhrwQCzKP/UxjozbWso/eZzmJMmJyj9PWOdMCrnKP63TWpmf6Mo/cG0UoIkYyz/KTPL3yEjLP2A83zheecs/jIjU+0mqyz8i4dvajNvLP1k+EXEnDcw/SsmkWho/zD+tx9w0ZnHMPwiLF54LpMw/bWPNNQvXzD+BlZKcZQrNPzFUGXQbPs0/v70zXy1yzT+B3NUBnKbNPxKrFwFo280/MBw3A5IQzj8kJpqvGkbOP+jR0K4CfM4/102Xqkqyzj8wBNhN8+jOPy21rUT9H88/ApVlPGlXzz9ybYHjN4/PP1/Duelpx88/AAAAAAAA0D8MT0BsfRzQP3WtUpMtOdA/mrWLzxBW0D/82eB7J3PQP66D6fNxkNA/rzLgk/Ct0D9goKO4o8vQP93jt7+L6dA/gphHB6kH0T9kBiXu+yXRP99My9OERNE/Q49fGERj0T+DI7IcOoLRPxzDP0JnodE/+L0y68vA0T+aL2R6aODRP0k2XVM9ANI/hyxY2kog0j+f5EF0kUDSP3XmuoYRYdI/fK8YeMuB0j/49Gavv6LSP2joaJTuw9I/TH6aj1jl0j8VtzEK/gbTP3jqH27fKNM/+BQTJv1K0z/YJ3edV23TP1Bbd0Dvj9M/KoP/e8Sy0z+zZb2919XTPxsVInQp+dM/LEtjDroc1D98x3z8iUDUPwewMa+ZZNQ/M/QNmOmI1D9osmcpeq3UPwGgYNZL0tQ/4XPnEl/31D9sU7lTtBzVPypCYw5MQtU/3ZNDuSZo1T9AYYvLRI7VP0n/P72mtNU/IXk8B03b1T+cDDMjOALWP3uprotoKdY/NXMUvN5Q1j+QRaUwm3jWP807f2aeoNY/rzqf2+jI1j8ffeIOe/HWP68jCIBVGtc/xcayr3hD1z+5C2of5WzXP5w8nFGbltc/+eKfyZvA1z9PZbUL5+rXP42nCJ19Fdg/Xa6yA2BA2D9ZRbvGjmvYP0ioGm4Kl9g/Ky+7gtPC2D9p/XqO6u7YP96zLRxQG9k/ByaetwRI2T8cEpDtCHXZP17cwUtdotk/Uk3uYALQ2T8+U868+P3ZP6HGGvBALNo/9TGOjNta2j95nOYkyYnaP09Y50wKudo/rdNamZ/o2j9wbRSgiRjbP8pM8vfISNs/YDzfOF552z+MiNT7SarbPyLh29qM29s/WT4RcScN3D9NyaRaGj/cP63H3DRmcdw/CIsXnguk3D9tY801C9fcP4GVkpxlCt0/MVQZdBs+3T+/vTNfLXLdP4Hc1QGcpt0/EqsXAWjb3T8wHDcDkhDePyQmmq8aRt4/6NHQrgJ83j/XTZeqSrLePzAE2E3z6N4/LbWtRP0f3z8ClWU8aVffP3JtgeM3j98/X8O56WnH3z8AAAAAAADgPwtPQGx9HOA/d61Sky054D+atYvPEFbgP/zZ4Hsnc+A/rIPp83GQ4D+xMuCT8K3gP2Cgo7ijy+A/3eO3v4vp4D+CmEcHqQfhP2MGJe77JeE/4UzL04RE4T9Dj18YRGPhP4Mjshw6guE/GsM/Qmeh4T/6vTLry8DhP5ovZHpo4OE/STZdUz0A4j+FLFjaSiDiP6DkQXSRQOI/dea6hhFh4j98rxh4y4HiP/b0Zq+/ouI/auholO7D4j9MfpqPWOXiPxW3MQr+BuM/d+ofbt8o4z/6FBMm/UrjP9gnd51XbeM/UFt3QO+P4z8og/97xLLjP7Rlvb3X1eM/GxUidCn54z8sS2MOuhzkP3zHfPyJQOQ/CbAxr5lk5D819A2Y6YjkP2iyZyl6reQ/AaBg1kvS5D/fc+cSX/fkP25TuVO0HOU/KkJjDkxC5T/dk0O5JmjlPz5hi8tEjuU/S/8/vaa05T8heTwHTdvlP5wMMyM4AuY/eamui2gp5j83cxS83lDmP5BFpTCbeOY/zTt/Zp6g5j+tOp/b6MjmPyF94g578eY/ryMIgFUa5z/FxrKveEPnP7cLah/lbOc/nzycUZuW5z/54p/Jm8DnP09ltQvn6uc/jacInX0V6D9frrIDYEDoP1xFu8aOa+g/SKgabgqX6D8rL7uC08LoP2f9eo7q7ug/4LMtHFAb6T8HJp63BEjpPxwSkO0Idek/XNzBS12i6T9VTe5gAtDpPz5Tzrz4/ek/ocYa8EAs6j/zMY6M21rqP3uc5iTJieo/T1jnTAq56j+t01qZn+jqP25tFKCJGOs/zUzy98hI6z9gPN84XnnrP4yI1PtJqus/H+Hb2ozb6z9cPhFxJw3sP03JpFoaP+w/rcfcNGZx7D8IixeeC6TsP29jzTUL1+w/hJWSnGUK7T8xVBl0Gz7tP7+9M18tcu0/f9zVAZym7T8UqxcBaNvtPzAcNwOSEO4/JCaarxpG7j/m0dCuAnzuP9pNl6pKsu4/MATYTfPo7j8tta1E/R/vP/+UZTxpV+8/dG2B4zeP7z9fw7npacfvPwAAAAAAAPA/C09AbH0c8D93rVKTLTnwP5q1i88QVvA//Nngeydz8D+sg+nzcZDwP7Ey4JPwrfA/YKCjuKPL8D/d47e/i+nwP4KYRwepB/E/ZgYl7vsl8T/hTMvThETxP0OPXxhEY/E/gyOyHDqC8T8awz9CZ6HxP/q9MuvLwPE/mi9kemjg8T9JNl1TPQDyP4UsWNpKIPI/oORBdJFA8j915rqGEWHyP3yvGHjLgfI/9vRmr7+i8j9q6GiU7sPyP0x+mo9Y5fI/FbcxCv4G8z936h9u3yjzP/oUEyb9SvM/2Cd3nVdt8z9QW3dA74/zPyiD/3vEsvM/tGW9vdfV8z8bFSJ0KfnzPyxLYw66HPQ/fMd8/IlA9D8JsDGvmWT0PzX0DZjpiPQ/aLJnKXqt9D8BoGDWS9L0P99z5xJf9/Q/blO5U7Qc9T8qQmMOTEL1P92TQ7kmaPU/PmGLy0SO9T9L/z+9prT1PyF5PAdN2/U/nAwzIzgC9j95qa6LaCn2PzdzFLzeUPY/kEWlMJt49j/NO39mnqD2P606n9voyPY/IX3iDnvx9j+vIwiAVRr3P8XGsq94Q/c/twtqH+Vs9z+fPJxRm5b3P/nin8mbwPc/T2W1C+fq9z+NpwidfRX4P1+usgNgQPg/XEW7xo5r+D9IqBpuCpf4Pysvu4LTwvg/Z/16juru+D/gsy0cUBv5PwcmnrcESPk/HBKQ7Qh1+T9c3MFLXaL5P1VN7mAC0Pk/PlPOvPj9+T+hxhrwQCz6P/MxjozbWvo/e5zmJMmJ+j9PWOdMCrn6P63TWpmf6Po/bm0UoIkY+z/NTPL3yEj7P2A83zheefs/jIjU+0mq+z8f4dvajNv7P1w+EXEnDfw/TcmkWho//D+tx9w0ZnH8PwiLF54LpPw/b2PNNQvX/D+ElZKcZQr9PzFUGXQbPv0/v70zXy1y/T9/3NUBnKb9PxSrFwFo2/0/MBw3A5IQ/j8kJpqvGkb+P+bR0K4CfP4/2k2Xqkqy/j8wBNhN8+j+Py21rUT9H/8//5RlPGlX/z90bYHjN4//P1/Duelpx/8/AAAAAAAAAEALT0BsfRwAQHetUpMtOQBAmrWLzxBWAED82eB7J3MAQKyD6fNxkABAsTLgk/CtAEBgoKO4o8sAQN3jt7+L6QBAgphHB6kHAUBmBiXu+yUBQOFMy9OERAFAQ49fGERjAUCDI7IcOoIBQB3DP0JnoQFA+r0y68vAAUCaL2R6aOABQEk2XVM9AAJAhSxY2kogAkCg5EF0kUACQHXmuoYRYQJAfK8YeMuBAkD29Gavv6ICQGroaJTuwwJATH6aj1jlAkAVtzEK/gYDQHfqH27fKANA+hQTJv1KA0DYJ3edV20DQFBbd0DvjwNAKIP/e8SyA0C0Zb2919UDQBsVInQp+QNALEtjDrocBEB8x3z8iUAEQAmwMa+ZZARANfQNmOmIBEBosmcpeq0EQAGgYNZL0gRA43PnEl/3BEBuU7lTtBwFQCpCYw5MQgVA3ZNDuSZoBUA+YYvLRI4FQEv/P72mtAVAIXk8B03bBUCcDDMjOAIGQHmprotoKQZAN3MUvN5QBkCQRaUwm3gGQM07f2aeoAZArTqf2+jIBkAhfeIOe/EGQK8jCIBVGgdAxcayr3hDB0C3C2of5WwHQJ88nFGblgdA+eKfyZvAB0BPZbUL5+oHQI2nCJ19FQhAX66yA2BACEBcRbvGjmsIQEioGm4KlwhAKy+7gtPCCEBr/XqO6u4IQOCzLRxQGwlAByaetwRICUAcEpDtCHUJQFzcwUtdoglAVU3uYALQCUA+U868+P0JQKHGGvBALApA8zGOjNtaCkB7nOYkyYkKQE9Y50wKuQpArdNamZ/oCkBubRSgiRgLQM1M8vfISAtAYDzfOF55C0CMiNT7SaoLQB/h29qM2wtAXD4RcScNDEBNyaRaGj8MQK3H3DRmcQxACIsXngukDEBvY801C9cMQISVkpxlCg1AMVQZdBs+DUC/vTNfLXINQITc1QGcpg1AFKsXAWjbDUAwHDcDkhAOQCQmmq8aRg5A5tHQrgJ8DkDaTZeqSrIOQDAE2E3z6A5ALbWtRP0fD0D/lGU8aVcPQHRtgeM3jw9AX8O56WnHD0AAAAAAAAAQQAtPQGx9HBBAd61Sky05EECatYvPEFYQQPzZ4HsncxBArIPp83GQEECxMuCT8K0QQGCgo7ijyxBA3eO3v4vpEECCmEcHqQcRQGYGJe77JRFA4UzL04REEUBDj18YRGMRQIMjshw6ghFAHcM/QmehEUD6vTLry8ARQJovZHpo4BFASTZdUz0AEkCFLFjaSiASQKDkQXSRQBJAdea6hhFhEkB8rxh4y4ESQPb0Zq+/ohJAauholO7DEkBMfpqPWOUSQBW3MQr+BhNAd+ofbt8oE0D6FBMm/UoTQNgnd51XbRNAUFt3QO+PE0Aog/97xLITQLRlvb3X1RNAGxUidCn5E0AsS2MOuhwUQHzHfPyJQBRACbAxr5lkFEA19A2Y6YgUQGiyZyl6rRRAAaBg1kvSFEDjc+cSX/cUQG5TuVO0HBVAKkJjDkxCFUDdk0O5JmgVQD5hi8tEjhVAS/8/vaa0FUAheTwHTdsVQJwMMyM4AhZAeamui2gpFkA3cxS83lAWQJBFpTCbeBZAzTt/Zp6gFkCtOp/b6MgWQCF94g578RZAryMIgFUaF0DFxrKveEMXQLcLah/lbBdAnzycUZuWF0D54p/Jm8AXQE9ltQvn6hdAjacInX0VGEBfrrIDYEAYQFxFu8aOaxhASKgabgqXGEArL7uC08IYQGv9eo7q7hhA4LMtHFAbGUAHJp63BEgZQBwSkO0IdRlAXNzBS12iGUBVTe5gAtAZQD5Tzrz4/RlAocYa8EAsGkDzMY6M21oaQHuc5iTJiRpAT1jnTAq5GkCt01qZn+gaQG5tFKCJGBtAzUzy98hIG0BgPN84XnkbQIyI1PtJqhtAH+Hb2ozbG0BcPhFxJw0cQE3JpFoaPxxArcfcNGZxHEAIixeeC6QcQG9jzTUL1xxAhJWSnGUKHUAxVBl0Gz4dQL+9M18tch1AhNzVAZymHUAUqxcBaNsdQDAcNwOSEB5AJCaarxpGHkDr0dCuAnweQNpNl6pKsh5AMATYTfPoHkAtta1E/R8fQP+UZTxpVx9AdG2B4zePH0Bfw7npaccfQAAAAAAAACBAC09AbH0cIEB0rVKTLTkgQJi1i88QViBA/9ngeydzIECvg+nzcZAgQLEy4JPwrSBAYKCjuKPLIEDd47e/i+kgQIKYRwepByFAYwYl7vslIUDeTMvThEQhQEaPXxhEYyFAhiOyHDqCIUAdwz9CZ6EhQPq9MuvLwCFAmi9kemjgIUBJNl1TPQAiQIUsWNpKICJAneRBdJFAIkBy5rqGEWEiQH+vGHjLgSJA+fRmr7+iIkBq6GiU7sMiQEx+mo9Y5SJAFbcxCv4GI0B36h9u3ygjQPYUEyb9SiNA1Sd3nVdtI0BTW3dA748jQCyD/3vEsiNAtGW9vdfVI0AbFSJ0KfkjQCxLYw66HCRAfMd8/IlAJEAFsDGvmWQkQDH0DZjpiCRAbLJnKXqtJEAFoGDWS9IkQONz5xJf9yRAblO5U7QcJUAqQmMOTEIlQN2TQ7kmaCVAPmGLy0SOJUBH/z+9prQlQB15PAdN2yVAoAwzIzgCJkB9qa6LaCkmQDdzFLzeUCZAkEWlMJt4JkDNO39mnqAmQK06n9voyCZAHX3iDnvxJkCrIwiAVRonQMnGsq94QydAuwtqH+VsJ0CfPJxRm5YnQPnin8mbwCdAT2W1C+fqJ0CNpwidfRUoQFuusgNgQChAV0W7xo5rKEBNqBpuCpcoQC8vu4LTwihAa/16juruKEDgsy0cUBspQAcmnrcESClAHBKQ7Qh1KUBc3MFLXaIpQFBN7mAC0ClAQ1POvPj9KUCmxhrwQCwqQPcxjozbWipAe5zmJMmJKkBPWOdMCrkqQK3TWpmf6CpAbm0UoIkYK0DITPL3yEgrQFs83zheeStAkYjU+0mqK0Ak4dvajNsrQFw+EXEnDSxATcmkWho/LECtx9w0ZnEsQAiLF54LpCxAamPNNQvXLEB/lZKcZQotQDZUGXQbPi1AxL0zXy1yLUCE3NUBnKYtQBSrFwFo2y1AMBw3A5IQLkAkJpqvGkYuQObR0K4CfC5A1E2XqkqyLkA1BNhN8+guQDK1rUT9Hy9ABJVlPGlXL0B0bYHjN48vQF/Duelpxy9AAAAAAAAAMEALT0BsfRwwQHStUpMtOTBAmLWLzxBWMED/2eB7J3MwQK+D6fNxkDBAsTLgk/CtMEBgoKO4o8swQN3jt7+L6TBAgphHB6kHMUBjBiXu+yUxQN5My9OERDFARo9fGERjMUCGI7IcOoIxQB3DP0JnoTFA+r0y68vAMUCaL2R6aOAxQEk2XVM9ADJAhSxY2kogMkCd5EF0kUAyQHjmuoYRYTJAf68YeMuBMkD59Gavv6IyQGroaJTuwzJATH6aj1jlMkAVtzEK/gYzQHfqH27fKDNA9hQTJv1KM0DVJ3edV20zQFNbd0DvjzNALIP/e8SyM0C0Zb2919UzQBsVInQp+TNALEtjDrocNEB8x3z8iUA0QAWwMa+ZZDRAMfQNmOmINEBssmcpeq00QAWgYNZL0jRA43PnEl/3NEBuU7lTtBw1QCpCYw5MQjVA3ZNDuSZoNUA+YYvLRI41QEf/P72mtDVAJXk8B03bNUCgDDMjOAI2QH2protoKTZAN3MUvN5QNkCQRaUwm3g2QM07f2aeoDZArTqf2+jINkAdfeIOe/E2QKsjCIBVGjdAycayr3hDN0C7C2of5Ww3QJ88nFGbljdA+eKfyZvAN0BPZbUL5+o3QI2nCJ19FThAW66yA2BAOEBXRbvGjms4QE2oGm4KlzhALy+7gtPCOEBr/XqO6u44QOCzLRxQGzlAByaetwRIOUAcEpDtCHU5QFzcwUtdojlAUE3uYALQOUBDU868+P05QKbGGvBALDpA9zGOjNtaOkB7nOYkyYk6QE9Y50wKuTpArdNamZ/oOkBubRSgiRg7QMhM8vfISDtAWzzfOF55O0CRiNT7Sao7QCTh29qM2ztAXD4RcScNPEBNyaRaGj88QK3H3DRmcTxACIsXngukPEBqY801C9c8QH+VkpxlCj1ANlQZdBs+PUDEvTNfLXI9QITc1QGcpj1AFKsXAWjbPUAwHDcDkhA+QCQmmq8aRj5A5tHQrgJ8PkDUTZeqSrI+QDUE2E3z6D5AMrWtRP0fP0AElWU8aVc/QHRtgeM3jz9AX8O56WnHP0AAAAAAAABAQA==\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"8042\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"8041\",\"type\":\"UnionRenderers\"}},\"id\":\"7981\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"7903\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"0.0001\"},\"renderers\":[{\"id\":\"7892\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7904\",\"type\":\"LegendItem\"},{\"attributes\":{\"line_color\":\"#6baed6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7982\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[1001]}},\"selected\":{\"id\":\"7959\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"7958\",\"type\":\"UnionRenderers\"}},\"id\":\"7905\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7983\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"7981\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7982\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7983\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"7985\",\"type\":\"CDSView\"}},\"id\":\"7984\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_color\":\"#2171b5\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7906\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"7907\",\"type\":\"Line\"},{\"attributes\":{\"source\":{\"id\":\"7981\",\"type\":\"ColumnDataSource\"}},\"id\":\"7985\",\"type\":\"CDSView\"},{\"attributes\":{\"data_source\":{\"id\":\"7905\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"7906\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"7907\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"7909\",\"type\":\"CDSView\"}},\"id\":\"7908\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"8000\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"source\":{\"id\":\"7905\",\"type\":\"ColumnDataSource\"}},\"id\":\"7909\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"8001\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"0.1\"},\"renderers\":[{\"id\":\"7984\",\"type\":\"GlyphRenderer\"}]},\"id\":\"8002\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"7920\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"7921\",\"type\":\"Selection\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[999]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[999]}},\"selected\":{\"id\":\"8062\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"8061\",\"type\":\"UnionRenderers\"}},\"id\":\"8003\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"label\":{\"value\":\"0.001\"},\"renderers\":[{\"id\":\"7908\",\"type\":\"GlyphRenderer\"}]},\"id\":\"7922\",\"type\":\"LegendItem\"}],\"root_ids\":[\"8068\"]},\"title\":\"Bokeh Application\",\"version\":\"1.0.4\"}};\n",
       "  var render_items = [{\"docid\":\"b2f061f4-e858-4850-8250-e37e993eea25\",\"roots\":{\"8068\":\"7b336e4f-e709-453d-8673-0e5923b7f560\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        embed_document(root);\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "      attempts++;\n",
       "      if (attempts > 100) {\n",
       "        console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "8068"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# array of A_total values, base 2\n",
    "AT = np.logspace(-5, 5, 1001 ,base=2)\n",
    "Kdvals = np.array([0.00001, 0.0001, 0.001,0.01,0.1])\n",
    "BT = 1\n",
    "\n",
    "# Color palettes:\n",
    "colors = bokeh.palettes.Blues9[:][::]\n",
    "scolors = bokeh.palettes.Oranges9[:][::]\n",
    "\n",
    "pA = bokeh.plotting.figure(width=400, height=200,\n",
    "                         x_axis_label='A_T', y_axis_label='A', \n",
    "                         x_axis_type=\"log\", y_axis_type=\"log\",\n",
    "                         title = \"A vs A_T for several K_d\",\n",
    "                         x_range=[AT.min(), AT.max()])\n",
    "\n",
    "pS = bokeh.plotting.figure(width=400, height=200,\n",
    "                         x_axis_label='A_T', y_axis_label='S', \n",
    "                         x_axis_type=\"log\", y_axis_type=\"log\",\n",
    "                         title = \"Sensitivity vs. A_T for several K_d\",\n",
    "                         x_range=[AT.min(), AT.max()])\n",
    "\n",
    "# Loop through colors and BT values (nditer not necessary)\n",
    "A = np.zeros((Kdvals.size, AT.size)) # store A values\n",
    "S = np.zeros((Kdvals.size, AT.size-1)) #sensitivities are derivatives, so there is one fewer of them\n",
    "foldstep = AT[1]/AT[0]\n",
    "pA.circle(0, 0, size=0.00000001, color= \"#ffffff\", legend=\"Kd\")\n",
    "pS.circle(0, 0, size=0.00000001, color= \"#ffffff\", legend=\"Kd\")\n",
    "for i, (color, scolor, Kd) in enumerate(zip(colors, scolors, Kdvals)):\n",
    "    A0 = 0.5 * (AT-BT-Kd+np.sqrt((AT-BT-Kd)**2+4*AT*Kd))\n",
    "    A[i,:] = A0\n",
    "    pA.line(AT, A0, line_width=2, color=color,legend=str(Kd))\n",
    "\n",
    "    # define Sensitivity, S, as dlog(A)/dlog(AT)=AT/A*dA/d(AT)\n",
    "    S0 = AT[0:-2]/A[i,0:-2]*(A[i,1:-1]-A[i,0:-2])/(AT[1:-1]-AT[0:-2])\n",
    "    pS.line(AT[0:-2],S0,line_width=2,color=scolor,legend=str(Kd))\n",
    "\n",
    "pA.legend.location = \"bottom_right\"\n",
    "pS.legend.location = \"bottom_right\"\n",
    "\n",
    "bokeh.io.show(bokeh.layouts.gridplot([pA, pS], ncols=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Incorporating production and degradation\n",
    "\n",
    "So far, we considered a static pool of $A$ and $B$, but in a cell, both proteins undergo continuous synthesis and degradation/dilution. Representing these dynamics explicitly leads to similar ultrasensitive responses, but now in terms of the protein production and degradation rates (see Buchler and Louis):\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{dA}{dt}&=\\beta_A - k_{on} A B + k_{\\it{off}} C - \\gamma_A A \\\\\n",
    "\\frac{dB}{dt}&=\\beta_B - k_{on} A B + k_{\\it{off}} C - \\gamma_B B \\\\\n",
    "\\frac{dC}{dt}&= k_{on} A B - k_\\it{off} C - \\gamma_C C \\\\\n",
    "\\end{align}\n",
    "\n",
    "(Here, we assume a distinct decay rate for $C$, but could alternatively consider degradation of its $A$ and $B$ constituents at their normal rates)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Demonstrating titration synthetically\n",
    "\n",
    "Simple models like the ones above can help us think about what behaviors we should expect in a system. But how do we know if they accurately describe the real behavior of a complex molecular system in the even more complex milieu of the living cell?\n",
    "\n",
    "To find out, Buchler and Cross used a synthetic biology approach to test whether this simple scheme could indeed generate the predicted ultrasensitivity. \n",
    "\n",
    "They engineered yeast cells to express a transcription factor, a stoichiometric inhibitor of that factor, and a target reporter gene to readout the level of the transcription factor. As an activator they used the mammalian bZip family activator CEBP/$\\alpha$. As the inhibitor they used a previously identified dominant negative mutant that binds to CEBP/$\\alpha$ with a tight $K_d \\approx 0.04 nM$. As a reporter they used a yellow fluorescent protein. To vary the relative levels of the activator and inhibitor, they expressed them from promoters of different strengths. As a control, they also constructed yeast strains without the inhibitor.\n",
    "\n",
    "The scheme is shown here:\n",
    "\n",
    "<br/>\n",
    "<center><img src=\"figs/synthetic_ultrasensitivity_design.png\" width=\"400px\"></center>\n",
    "\n",
    "As shown below (left), the activator generated a dose-dependent increase in the fluorescent protein. (The noticeable decrease at the highest levels is attributed to the interesting effect of transcriptional \"squelching\"--see paper for details). \n",
    "\n",
    "Adding the inhibitor (middle panel) produced the predicted threshold-linear response.\n",
    "\n",
    "Finally, expressing the inhibitor from promoters of different strengths (right) showed corresponding shifts in the threshold position, as expected based on their independently measured expression levels (not shown). \n",
    "\n",
    "<br/>\n",
    "<center><img src=\"figs/synthetic_ultrasensitivity_results.png\" width=\"600px\"></center>\n",
    "\n",
    "The conclusions so far: \n",
    "\n",
    "* Tight binding can produce ultrasensitivity through molecular titration.\n",
    "\n",
    "* Molecular titration is a real effect that can be reconstituted and quantitatively predicted in living cells. \n",
    "\n",
    "We now turn to  biological contexts in which molecular titration appears."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## small RNA regulation can generate ultrasensitive responses through molecular titration\n",
    "\n",
    "One of the most stunning discoveries of the last several decades is the pervasive and diverse roles that small RNA molecules play in regulating gene expression, from bacteria to mammalian cells.\n",
    "\n",
    "micro RNA (miRNA) represents a major class of regulatory RNA molecules in eukaryotes. Individual miRNAs typically target hundreds of genes. Conversely, most protein-coding genes are miRNA targets. miRNAs can be highly expressed (as much as 50,000 copies per cell). \n",
    "\n",
    "Many miRNAs exhibit strong sequence conservation across species, suggesting selection for function. \n",
    "\n",
    "However, at the cell population average level, they sometimes appear to generate relatively weak repression. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To more quantitatively understand how miRNA regulation operates, Mukherji et al developed a system to analyze miRNA regulation at the level of single cells (Mukherji, S., et al, Nat. Methods, 2011). \n",
    "\n",
    "The key idea of the design is to express two distinguishable fluorescent proteins, one of which is regulated by a specific miRNA, with the other serving as an unregulated internal control. \n",
    "\n",
    "<br/>\n",
    "<center><img src=\"figs/miR-20_design.png\" width=\"400px\"></center>\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-13T04:37:27.429007Z",
     "start_time": "2019-05-13T04:37:27.420939Z"
    }
   },
   "source": [
    "They transfected variants of this construct with (N=1) or without (N=0) a binding site for the miR-20 miRNA:\n",
    "\n",
    "<center><img src=\"figs/Mukherji_images.png\" width=\"400px\"></center>\n",
    "\n",
    "As you can see here, without the binding site, the two colors appear to be proportional to each other, as you would expect. But with the binding site, mCherry expression is differentially suppressed at lower YFP levels.\n",
    "\n",
    "This can be seen more clearly in a scatter plot of the two colors:\n",
    "\n",
    "<center><img src=\"figs/Mukherji_YFP_mCherry.png\" width=\"300px\"></center>\n",
    "\n",
    "Here, the YFP x-axis is analogous to our $A_T$, above, while the mCherry y-axis is analogous to $A$. \n",
    "\n",
    "<!-- Need to find out why the slopes of these two lines are different -->\n",
    "\n",
    "The authors go on to explore how increasing the number of binding sites can modulate the threshold for repression. The results broadly fit the behavior expected from the molecular titration model. \n",
    "\n",
    "These results could help reconcile the very different types of effects one sees for miRNAs in different contexts. Sometimes they appear to provide strong, switch-like effects, as with fate-controlling miRNAs in C. elegans. On the other hand, in many other contexts, they appear to exert much weaker \"fine-tuning\" effects on their targets. When miRNAs are unsaturated, they can have a relatively strong effect on their target expression levels, essentially keeping them \"off.\" On the other hand, when targets are expressed highly enough, the relative effects of the miRNA on their expression can become much weaker.\n",
    "\n",
    "<!-- would be nice to make a little sketch of this -->\n",
    "\n",
    "Returning to the question posed earlier, we now see that a remarkably simple way to create a threshold within a regulatory step is to insert a constitutive, inhibitory miRNA:\n",
    "\n",
    "<center><img src=\"figs/gene_regulation_with_miRNA.png\" width=\"300px\"></center>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that in addition to its general regulatory abilities and thresholding effects, miRNA regulation can also reduce noise in target gene expression. See [Schmiedel et al, \"MicroRNA control of protein\n",
    "expression noise,\" *Science* (2015)](https://science.sciencemag.org/content/sci/348/6230/128.full.pdf).\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Molecular titration in antibiotic persistence\n",
    "\n",
    "Antibiotic persistence is a phenomenon, which we already discussed, in which a small percentage of non-resistant cells survive antibiotic treatment. Once re-grown, the descendants of these cells behave the same as the original culture from which they were obtained, with the same small percentage surviving antibiotic treatment.\n",
    "\n",
    "Nathalie Balaban and colleagues have used a variety of elegant approaches to analyze antibiotic persistence at the level of single cells. In [Rotem et al, \"Regulation of phenotypic variability by a threshold- based mechanism underlies bacterial persistence,\" PNAS (2010)](https://www.pnas.org/content/pnas/107/28/12541.full.pdf) they analyze the role of the hipAB toxin-antitoxin system in generating persisters. \n",
    "\n",
    "The model for persistence described here combines three major concepts from the course so far: negative autoregulation, stochastic noise in gene expression, and, now, molecular titration.\n",
    "\n",
    "In this system, a protein \"toxin\", hipA, is neutralized by the anti-toxin hipB. The proteins are co-expressed in a single operon, and form a tight complex, which represses their own expression:\n",
    "\n",
    "<center><img src=\"figs/hipAB.png\" width=\"300px\"></center>\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In a separate set of experiments, they tagged hipA with a red fluorecent protein, and used time-lapse movies to correlate the growth behavior of individual cells with their HipA protein levels.\n",
    "\n",
    "As shown in these panels, there appeared to be a threshold relationship, in which growth arrest occurred when HipA (as measured by its fluorescent protein tag) exceeded a threshold concentration:\n",
    "\n",
    "<center><img src=\"figs/persister_time_lapse_analysis.png\" width=\"700px\"></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A simple model based on molecular titration, feedback, and noise can explain the key experimental features observed here. The model contains just a few reactions:\n",
    "\n",
    "Production of HipA: $ P \\rightarrow P+A $ \n",
    "\n",
    "Production of HipB: $ P \\rightarrow P+B $\n",
    "\n",
    "HipAB complex formation: $ A + B \\leftrightarrow C $\n",
    "\n",
    "Binding and unbinding of  to DNA: $ P + C \\leftrightarrow P_C $\n",
    "\n",
    "Degradation and dilution of all protein species: $ A,B,C \\rightarrow \\emptyset $ \n",
    "\n",
    "Here $A$ and $B$ denote the HipA and HipB proteins, respectively, and $C$ represents the HipA-HipB complex. $P$ and $P_C$ represent the free and bound state of the hipAB promoter. \n",
    "\n",
    "They simulated the model stochastically, with the assumption that free $A$ exceeding a threshold causes persistence. In this model, varying the expression level of the antitoxin, HipB, systematically shifted the threshold for persistence, a behavior that also occurred experimentally:\n",
    "\n",
    "<center><img src=\"figs/persister_model_experiment.png\" width=\"700px\"></center>\n",
    "\n",
    "<!-- Let's do this model in the notebook! -->"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Molecular titration generates \"walkie-talkie\" behaviors in the Notch signaling pathway\n",
    "\n",
    "<br/>\n",
    "<center>See slides</center>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Beyond pairwise titration\n",
    "\n",
    "Today we talked about molecular titration arising from interactions between protein pairs. However, proteins often form more complex, and even combinatorial, networks of homo- and hetero-dimerizing components. One example occurs in the control of cell death (apoptosis) by Bcl2-family proteins, a process that naturally should be performed in an all-or-none way. Another example that we will discuss soon involves the formation of signaling complexes in promiscuous ligand-receptor systems. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions\n",
    "\n",
    "Today we have seen that molecular titration provides a simple but powerful way to generate ultrasensitive responses across different types of molecular systems:\n",
    "\n",
    "* The general principle of molecular titration: formation of a tight complex between two species makes the concentration of a \"free\" protein species depend in a threshold-linear manner on its total level or rate of production.\n",
    "\n",
    "* Molecular titration could explain key features of miRNA based regulation.\n",
    "\n",
    "* Molecular titration appears to underlie the generation of bacterial persisters through toxin-antitoxin systems.\n",
    "\n",
    "* Molecular titration between co-expressed, mutually inhibitory ligands and receptors can generate exclusive send-or-receive signaling states in the Notch signaling pathway.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- \n",
    "\n",
    "Things to add:\n",
    "* Buchler shows that it is possible to program ultrasensivity in a broad range of synthetic circuits\n",
    "* Check on conditions for stoichiometric inhibition in miRNA\n",
    "* Explain that mutual inactivation is an extreme case where koff is 0 --< maximizes ultrasensitivity\n",
    "* check mukherji explanation for role in miRNA regulation. also subsequent papers citing it. bartel review.\n",
    "* start at beginning with intuition: if we had a strongly binding and inactivating binder, it should perform \"subtraction\"\n",
    "\n",
    "--> "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "position": {
    "height": "337.6666564941406px",
    "left": "586px",
    "right": "20px",
    "top": "120px",
    "width": "320.6666564941406px"
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}