A stochastic model for cell adhesion to the vascular wall - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Biology Année : 2019

A stochastic model for cell adhesion to the vascular wall

Résumé

We present here a minimal mathematical model of the interaction between a cell and the blood vessel wall in shear flow. The bond dynamics in cell adhesion is modeled as a non-linear discrete stochastic process. Performing a renormalization in the spirit of [22, 11], we obtain a continuous model which predicts the existence of a threshold shear velocity associated with cell rolling and a process of firm adhesion that follows the initial rolling.
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Dates et versions

hal-01442975 , version 1 (23-01-2017)
hal-01442975 , version 2 (18-02-2019)
hal-01442975 , version 3 (12-12-2019)

Identifiants

Citer

Christèle Etchegaray, Nicolas Meunier. A stochastic model for cell adhesion to the vascular wall. Journal of Mathematical Biology, 2019. ⟨hal-01442975v2⟩

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