Winters, K. H. and Myerscough, M. R. and Maini, P. K. and Murray, J. D. (1991) Tracking bifurcating solutions of a model biological pattern generator. Impact of Computing in Science and Engineering, 2 (4). pp. 355-371.
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | n/a |
| Subjects: | A - C > Biology and other natural sciences |
| Research Groups: | Centre for Mathematical Biology |
| ID Code: | 517 |
| Deposited By: | Philip Maini |
| Deposited On: | 13 Dec 2006 |
| Last Modified: | 20 Jul 2009 14:22 |
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