Spreading speeds and traveling waves for a model of epidermal wound healing

2010/07/08 by Haiyan Wang, Wang, Haiyan
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · #FOS: Biological sciences #Gene Regulatory Network Analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #Quantitative Methods (q-bio.QM) #Tissues and Organs (q-bio.TO)

paper · pdf · doi:10.48550/arxiv.1007.1442

openalex publication_date 2010/07/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we shall establish the spreading speed and existence of traveling waves for a non-cooperative system arising from epidermal wound healing and characterize the spreading speed as the slowest speed of a family of non-constant traveling wave solutions. Our results on the spreading speed and traveling waves can also be applied to a large class of non-cooperative reaction-diffusion systems.

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