5 citations · 12 across the 16 of their papers we have counts for
19 papers
A new comparison principle for discrete Volterra equations with an application to convex sweeping processes with infinite delays
Thierno Mamadou Baldé, Vuk Milisic, Steffen Plunder
Comparison principles for Volterra equations play a role analogous to maximum principles in PDEs: they provide positivity and stability information on the solution and allow one to…
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…