Maini, P. K. and Myerscough, M. R. and Murray, J. D. and Winters, K. H. (1991) Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation. Bulletin of Mathematical Biology, 53 (5). pp. 701-719. ISSN 0092-8240
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Abstract
We consider a simple cell-chemotaxis model for spatial pattern formation on two-dimensional domains proposed by Oster and Murray (1989,J. exp. Zool. 251, 186–202). We determine finite-amplitude, steady-state, spatially heterogeneous solutions and study the effect of domain growth on the resulting patterns. We also investigate in-depth bifurcating solutions as the chemotactic parameter varies. This numerical study shows that this deceptively simple-chemotaxis model can produce a surprisingly rich spectrum 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: | 559 |
| Deposited By: | Philip Maini |
| Deposited On: | 11 Jan 2007 |
| Last Modified: | 20 Jul 2009 14:22 |
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- Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation. (deposited 15 Dec 2006)
- Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation. (deposited 11 Jan 2007) [Currently Displayed]
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