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.
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Etchegaray, C., Grec, B., Maury, B., Meunier, N., Navoret, L. (2015). An Integro-Differential Equation for 1D Cell Migration. In: Constanda, C., Kirsch, A. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-16727-5_17
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DOI: https://doi.org/10.1007/978-3-319-16727-5_17
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-16726-8
Online ISBN: 978-3-319-16727-5
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