16. Paradoxical regulation in intra- and intercellular circuits¶
Futile cycles in kinase systems can linear amplification that is robust to total protein copy numbers.
Biphasic control can be accomplished with paradoxical regulation.
Cellular circuits are necessarily autocatalytic
Use of conservation laws can greatly simplify analysis.
Plotting phase portraits with a separatrix
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()