30 citations · 52 across the 4 of their papers we have counts for
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math.NA2012
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…
math.NA2012★ 30 cited
A hyperbolic model of chemotaxis on a network: a numerical study
Gabriella Bretti, Roberto Natalini, Magali Ribot
In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving on a network, with suitable transmission conditions at nodes. This framework is…