5 citations · 12 across the 16 of their papers we have counts for
15 papers · 1 filter
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…
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…
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…
Asymptotic limits for a non-linear integro-differential equation modelling leukocytes' rolling on arterial walls
Vuk Milisic, Christian Schmeiser
We consider a non-linear integro-differential model describing , the position of the cell center on the real line presented in [Grec et al., J. Theo. Bio. 2018]. We introduce a…
Reduction of a model for sodium exchanges in kidney nephron
Marta Marulli, Vuk Milisic, Nicolas Vauchelet
This work deals with a mathematical analysis of sodium's transport in a tubular architecture of a kidney nephron. The nephron is modelled by two counter-current tubules. Ionic exch…
On the role of the epithelium in a model of sodium exchange in renal tubules
Marta Marulli, Aurélie Edwards, Vuk Milišić +1
In this study we present a mathematical model describing the transport of sodium in a fluid circulating in a counter-current tubular architecture, which constitutes a simplified mo…