10 citations · 10 across the 3 of their papers we have counts for
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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…