SPATIAL DYNAMICS FOR A MODEL OF EPIDERMAL WOUND HEALING

被引：0

作者：

Wang, Haiyan ^{[1
]}

Wu, Shiliang ^{[2
]}

机构：

[1] Arizona State Univ, Sch Math & Nat Sci, Phoenix, AZ 85069 USA

[2] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2014年 / 11卷 / 05期

关键词：

Traveling waves; spreading speed; entire solution; non-cooperative; diffusion systems; epidermal wound healing; REACTION-DIFFUSION EQUATIONS; TRAVELING-WAVES; SPREADING SPEEDS; LINEAR DETERMINACY; RECURSIONS; GROWTH; SYSTEM; FRONT;

D O I：

10.3934/mbe.2014.11.1215

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we consider the spatial dynamics for a non-cooperative diffusion system arising from epidermal wound healing. We shall establish the spreading speed and existence of traveling waves and characterize the spreading speed as the slowest speed of a family of non-constant traveling wave solutions. We also construct some new types of entire solutions which are different from the traveling wave solutions and spatial variable independent solutions. The traveling wave solutions provide the healing speed and describe how wound healing process spreads from one side of the wound. The entire solution exhibits the interaction of several waves originated from different locations of the wound. To the best of knowledge of the authors, it is the first time that it is shown that there is an entire solution in the model for epidermal wound healing.

引用

页码：1215 / 1227

页数：13

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