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Some heteroclinic solutions of a model of skin pattern formation

✍ Scribed by Bogdan Kaźmierczak; Kazimierz Piechór

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
218 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper we study travelling wave solutions to a system of four non‐linear partial differential equations, which arise in a tissue interaction model for skin morphogenesis. Under the ‘small‐stress’ assumption we prove the existence and uniqueness (up to a translation) of solutions with the dermis and epidermis cell densities being positive, which are a perturbation of a uniform epidermal cell density. We discuss the problem of the minimal wave‐speed. Copyright © 2004 John Wiley & Sons, Ltd.

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