3 papers
math.AP2018
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…
math.AP2018
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…
q-bio.CB2015
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…