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Tracking bifurcating solutions of a model biological pattern generator

Abstract:
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.

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K. H. Winters More by this author
M. R. Myerscough More by this author
P. K. Maini More by this author
J. D. Murray More by this author
Publication date:
1991
URN:
uuid:0cc35687-511f-43f9-8f1e-101d3376f227
Local pid:
oai:eprints.maths.ox.ac.uk:517

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