Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing
Solutions of a model reaction-diffusion system inspired by a model for hair follicle initiation in mice are constructed and analysed for the case of a one-dimensional domain. It is shown that all regular spatially heterogeneous solutions of the problem are unstable. Numerical tests show that the onl...
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| Format: | Article |
| Language: | English |
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Biomath Forum
2014-12-01
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| Series: | Biomath |
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| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/343 |
| Summary: | Solutions of a model reaction-diffusion system inspired by a model for hair follicle initiation in mice are constructed and analysed for the case of a one-dimensional domain. It is shown that all regular spatially heterogeneous solutions of the problem are unstable. Numerical tests show that the only asymptotically stable weak solutions are those with large jump discontinuities. |
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| ISSN: | 1314-684X 1314-7218 |