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math.AP2026
Analysis of non-overlapping models with a weighted infinite delay
Thierno Mamadou Balde, Vuk Milisic
The framework of this article is cell motility modeling. Approximating cells as rigid spheres we take into account for both non-penetration and adhesions forces. Adhesions are mode…
math.AP2024
From transient elastic linkages to friction: a complete study of a penalized fourth order equation with delay
Vuk Milisic, Philippe Souplet
In this paper we consider a fourth order nonlinear parabolic delayed problem modelling a quasi-instantaneous turn-over of linkages in the context of cell-motility. The model depend…
math.AP2024
Friction mediated by transient elastic linkages : asymptotic expansions and fat tails
Samar Allouch, Vuk Milisic
Several results in previous works, strongly depend on the exponential tail of the linkages' distribution in our adhesive models. The purpose of this paper is to weaken this hypothe…