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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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 |
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doaj-f6c5a7b89cb34413b8bc2f98904d652b2020-11-25T00:52:30ZengBiomath ForumBiomath1314-684X1314-72182014-12-013210.11145/i.biomath.2014.11.111254Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle SpacingPeter Rashkov0Philipps-Universitaet MarburgSolutions 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.http://www.biomathforum.org/biomath/index.php/biomath/article/view/343dynamical systemsreaction-diffusion equationsstationary solutionsweak solutions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Peter Rashkov |
| spellingShingle |
Peter Rashkov Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing Biomath dynamical systems reaction-diffusion equations stationary solutions weak solutions |
| author_facet |
Peter Rashkov |
| author_sort |
Peter Rashkov |
| title |
Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing |
| title_short |
Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing |
| title_full |
Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing |
| title_fullStr |
Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing |
| title_full_unstemmed |
Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing |
| title_sort |
regular and discontinuous solutions in a reaction-diffusion model for hair follicle spacing |
| publisher |
Biomath Forum |
| series |
Biomath |
| issn |
1314-684X 1314-7218 |
| publishDate |
2014-12-01 |
| description |
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. |
| topic |
dynamical systems reaction-diffusion equations stationary solutions weak solutions |
| url |
http://www.biomathforum.org/biomath/index.php/biomath/article/view/343 |
| work_keys_str_mv |
AT peterrashkov regularanddiscontinuoussolutionsinareactiondiffusionmodelforhairfolliclespacing |
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1725242168098947072 |