374 citations
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8 papers · 1 filter
Numerical simulation on a cell polarisation model: the polar case
Vincent Calvez, Nicolas Meunier, Nicolas Muller +1
When it is polarised, a cell develops an asymmetric distribution of specific molecular markers, cytoskeleton and cell membrane shape. Polarisation can occur spontaneously or be tri…
Numerical simulation of the dynamics of molecular markers involved in cell polarisation
Vincent Calvez, Nicolas Meunier, Nicolas Muller +1
A cell is polarised when it has developed a main axis of organisation through the reorganisation of its cytosqueleton and its intracellular organelles. Polarisation can occur spont…
Analysis of a non local model for spontaneous cell polarisation
Vincent Calvez, Rhoda Hawkins, Nicolas Meunier +1
In this work, we investigate the dynamics of a non-local model describing spontaneous cell polarisation. It consists in a drift-diffusion equation set in the half-space, with the c…
Diffusion limit for a stochastic kinetic problem
A. Debussche, J. Vovelle
We study the limit of a kinetic evolution equation involving a small parameter and perturbed by a smooth random term which also involves the small parameter. Generalizing the class…
Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces
Olivier Druet, Emmanuel Hebey
We prove existence and uniform bounds for electrostatic Klein-Gordon-Maxwell systems in the inhomogeneous context of a compact Riemannian manifold when the mass potential, balanced…
Blow-up, concentration phenomenon and global existence for the Keller-Segel model in high dimension
Vincent Calvez, Lucilla Corrias, Mohammed Abderrahman Ebde
This paper is devoted to the analysis of the classical Keller-Segel system over , . We describe as much as possible the dynamics of the system characterized…