An Integro-Differential Equation for 1D Cell Migration

C. Etchegaray (), B. Grec (), B. Maury (), N. Meunier () and L. Navoret ()
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C. Etchegaray: Université Paris-Sud
B. Grec: Université Paris Descartes
B. Maury: Université Paris-Sud
N. Meunier: Université Paris Descartes
L. Navoret: Université de Strasbourg

Chapter Chapter 17 in Integral Methods in Science and Engineering, 2015, pp 195-207 from Springer

Abstract: Abstract Cell migration is a fundamental biological phenomenon involved for example in development, wound healing, cancer and immune response. Understanding its key features is therefore a burning issue. In this work, we introduce an integro-differential equation describing 1D cell migration. We show existence and uniqueness of a solution, and in some cases informations about its asymptotic behavior. This model opens the way to a global description of cell trajectories based on microscopic features.

Keywords: Cell migration; 1D integro-differential model; 1D; Cell trajectories; Active forces. (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16727-5_17

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DOI: 10.1007/978-3-319-16727-5_17

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