10 citations · 10 across the 3 of their papers we have counts for
6 papers
A well-balanced scheme for chemotactic travelling waves at the mesoscopic scale
Vincent Calvez, Laurent Gosse, Monika Twarogowska
We investigate numerically a model consisting in a kinetic equation for the biased motion of bacteria following a run-and-tumble process, coupled with two reaction-diffusion equati…
Concentration waves of chemotactic bacteria: the discrete velocity case
Vincent Calvez, Laurent Gosse, Monika Twarogowska
The existence of travelling waves for a coupled system of hyperbolic/ parabolic equations is established in the case of a finite number of velocities in the kinetic equation. This…
A discrete in continuous mathematical model of cardiac progenitor cells formation and growth as spheroid clusters (Cardiospheres)
Ezio Di Costanzo, Alessandro Giacomello, Elisa Messina +5
We propose a discrete in continuous mathematical model describing the in vitro growth process of biophsy-derived mammalian cardiac progenitor cells growing as clusters in the form…
A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis
Monika Twarogowska, Roberto Natalini, Magali Ribot
We consider two models which were both designed to describe the movement of eukaryotic cells responding to chemical signals. Besides a common standard parabolic equation for the di…
Macroscopic modeling and simulations of room evacuation
Monika Twarogowska, Paola Goatin, Regis Duvigneau
We analyze numerically two macroscopic models of crowd dynamics: the classical Hughes model and the second order model being an extension to pedestrian motion of the Payne-Whitham…
A well-balanced numerical scheme for a one dimensional quasilinear hyperbolic model of chemotaxis
Roberto Natalini, Magali Ribot, Monika Twarogowska
We introduce a numerical scheme to approximate a quasi-linear hyperbolic system which models the movement of cells under the influence of chemotaxis. Since we expect to find soluti…