A stochastic model for cell adhesion to the vascular wall

Christèle Etchegaray (1, 2) , Nicolas Meunier (3)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5
3 LaMME - Laboratoire de Mathématiques et Modélisation d'Evry

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.

Domaines: Equations aux dérivées partielles [math.AP]; Probabilités [math.PR]

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