20. Turing patterns

Design principle

  • Local activation and long range inhibition can give stable, spatially heterogeneous patterning of morphogens.

Concepts

  • Reaction-diffusion equations

Techniques

  • Numerical solution of PDEs by the method of lines

  • Linear stability analysis of PDEs

[1]:

import numpy as np
import pandas as pd
import numba
import scipy.integrate

import biocircuits

import bokeh.io
import bokeh.plotting

import panel as pn
pn.extension()

bokeh.io.output_notebook()