Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Twarogowska, Monika"'
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 equations for chemical signals. This model exhibits asymptotic propagation a
Externí odkaz:
http://arxiv.org/abs/1811.09161
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 finds application in collective motion of chemotactic bacteria. The an
Externí odkaz:
http://arxiv.org/abs/1811.07563
Autor:
Di Costanzo, Ezio, Giacomello, Alessandro, Messina, Elisa, Natalini, Roberto, Pontrelli, Giuseppe, Rossi, Fabrizio, Smits, Robert, Twarogowska, Monika
Publikováno v:
Mathematical Medicine and Biology, 35-1, 121-144, 2018
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 of spheres (Cardiospheres). The approach is hybrid: discrete at cellul
Externí odkaz:
http://arxiv.org/abs/1512.07033
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 diffusion of a chemoattractant, like chemokines or growth factors, the t
Externí odkaz:
http://arxiv.org/abs/1402.2831
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 vehicular traffic model. The desired direction of motion is determined
Externí odkaz:
http://arxiv.org/abs/1308.1770
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 solutions which contain vacuum parts, we propose an upwinding scheme which h
Externí odkaz:
http://arxiv.org/abs/1211.4010
Publikováno v:
SIAM Journal on Applied Mathematics, 2017 Jan 01. 77(6), 2224-2249.
Externí odkaz:
https://www.jstor.org/stable/45093505
Publikováno v:
In Transportation Research Procedia 2014 2:477-485
Autor:
Sadier, Alexa1,2, Twarogowska, Monika3, Steklikova, Klara4,5, Hayden, Luke1,2, Lambert, Anne2, Schneider, Pascal6, Laudet, Vincent2, Hovorakova, Maria4 maria.hovorakova@iem.cas.cz, Calvez, Vincent7 vincent.calvez@math.cnrs.fr, Pantalacci, Sophie1,2 sophie.pantalacci@ens-lyon.fr
Publikováno v:
PLoS Biology. 2/7/2019, Vol. 17 Issue 2, p1-28. 28p. 5 Color Photographs, 1 Diagram.
Publikováno v:
In Mathematical and Computer Modelling 2011 53(7):1457-1468