16. Paradoxical regulation in intra- and intercellular circuits

Design principles

  • Futile cycles in kinase systems can linear amplification that is robust to total protein copy numbers.

  • Biphasic control can be accomplished with paradoxical regulation.

Concepts

  • Paradoxical regulation

  • Cellular circuits are necessarily autocatalytic

Techniques

  • Use of conservation laws can greatly simplify analysis.

  • Plotting phase portraits with a separatrix

[1]:

import numpy as np
import scipy.integrate

import biocircuits

import bokeh.io
import bokeh.plotting

import panel as pn
pn.extension()

bokeh.io.output_notebook()