Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Milišić, Vuk"'
Autor:
Milisic, Vuk
Nous étudions l'approximation cinétique discrète de lois de conservation scalaires quasi-linéaires dans le quart d'espace positif. Cette approximation est obtenue par l'introduction de systèmes de type BGK relaxant la loi scalaire. Nous démontr
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00005164
http://tel.archives-ouvertes.fr/docs/00/04/64/10/PDF/tel-00005164.pdf
http://tel.archives-ouvertes.fr/docs/00/04/64/10/PDF/tel-00005164.pdf
Autor:
Milisic, Vuk, Souplet, Philippe
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 depends on a small parameter $\epsilon$ which represents a typical time scal
Externí odkaz:
http://arxiv.org/abs/2401.01139
Autor:
Allouch, Samar, Milisic, Vuk
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 hypothesis and to allow more fat tails for large ages. From the biological po
Externí odkaz:
http://arxiv.org/abs/2209.14666
Autor:
Milisic, Vuk, Schmeiser, Christian
We consider a non-linear integro-differential model describing $z$, the position of the cell center on the real line presented in [Grec et al., J. Theo. Bio. 2018]. We introduce a new $\varepsilon$-scaling and we prove rigorously the asymptotics when
Externí odkaz:
http://arxiv.org/abs/2011.06965
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 exchange occurs at the interface between the tubules and the epithelium an
Externí odkaz:
http://arxiv.org/abs/2005.07419
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 model of Henle's loop in a kidney nephron. The model explicitly takes in
Externí odkaz:
http://arxiv.org/abs/2001.07400
Autor:
Milisic, Vuk
Publikováno v:
J. Funct. Anal. Journal Profile 279, No. 2, Article ID 108520, 50 p. (2020)
In the context of cell motility modelling and more particularly related to the Filament Based Lamelipodium Model [Manhart et al 2015 & 2017], this work deals with a rigorous mathematical proof of convergence between solutions of two problems : we sta
Externí odkaz:
http://arxiv.org/abs/1902.04821
Autor:
Milisic, Vuk, Oelz, Dietmar
In the first part of this work we show the convergence with respect to an asymptotic parameter {\epsilon} of a delayed heat equation. It represents a mathematical extension of works considered previously by the authors [Milisic et al. 2011, Milisic e
Externí odkaz:
http://arxiv.org/abs/1706.02650
We analyze the interactions between division, mutation and selection in a simplified evolutionary model, assuming that the population observed can be classified into fitness levels. The construction of our mathematical framework is motivated by the m
Externí odkaz:
http://arxiv.org/abs/1609.00823
In this article, we study branching random walks on graphs modeling division-mutation processes inspired by adaptive immunity. We apply the theory of expander graphs on mutation rules in evolutionary processes and obtain estimates for the cover times
Externí odkaz:
http://arxiv.org/abs/1607.00927