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- Roberto Natalini, Magali Ribot
- SIAM J. Numerical Analysis
- 2012

We introduce a new class of finite difference schemes for approximating the solutions to an initial-boundary value problem on a bounded interval for a one dimensional dissipative hyperbolic systemâ€¦ (More)

- Marjorie Coisy, Virginie Roure, +4 authors J C Dantonel
- Molecular cell
- 2004

Cell cycle-dependent expression of cyclin A is controlled by transcriptional repression in early phase of the cell cycle. In this study, we directly examine the chromatin structure of the mouseâ€¦ (More)

We consider a general model of chemotaxis with finite speed of propagation in one space dimension. For this model we establish a general result of global stability of some constant states both forâ€¦ (More)

- Fabrizio Clarelli, C Di Russo, Roberto Natalini, Magali Ribot
- Mathematical medicine and biology : a journal ofâ€¦
- 2016

In this article, we study in detail the fluid dynamics system proposed in Clarelli et al. (2013, J. Math. Biol., 66, 1387-1408) to model the formation of cyanobacteria biofilms. After analysing theâ€¦ (More)

We develop the analogy between self-gravitating Brownian particles and bacterial populations. In the high friction limit, the self-gravitating Brownian gas is described by the Smoluchowski-Poissonâ€¦ (More)

In this article, we study a one-dimensional hyperbolic quasilinear model of chemotaxis with a non-linear pressure and we consider its stationary solutions, in particular with vacuum regions. We studyâ€¦ (More)

We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of congestion. Theseâ€¦ (More)

- Tamara El Bouti, Thierry Goudon, +5 authors RÃ©mi Tesson
- 2017

We introduce a mixture model intended to describe the dynamics of the mucus layer that wraps the gut mucosa. This model takes into account the fluid mechanics of the gut content, the inhomogeneousâ€¦ (More)

- Fabrizio Clarelli, C Di Russo, Roberto Natalini, Magali Ribot
- Journal of mathematical biology
- 2013

A system of nonlinear hyperbolic partial differential equations is derived using mixture theory to model the formation of biofilms. In contrast with most of the existing models, our equations have aâ€¦ (More)

We discuss the modelling of interacting populations through pursuit-evasion â€”or attraction-repulsion â€”principles : preys try to escape chasers, chasers are attracted by the presence of preys. Weâ€¦ (More)