Tracking bifurcating solutions of a model biological pattern generator

Journal article

We study heterogeneous steady-state solutions of a cell-chemotaxis model for generating biological spatial patterns in two-dimensional domains with zero flux boundary conditions. We use the finite-element package ENTWIFE to investigate bifurcation from the uniform solution as the chemotactic parameter varies and as the domain scale and geometry change. We show that this simple cell-chemotaxis model can produce a remarkably wide and surprising range of complex spatial patterns.

Authors: Winters, K; Myerscough, M; Maini, P; Murray, J

• Publication date: 1991-01-01