A hyperbolic model of chemotaxis on a network: a numerical study (Articolo in rivista)

Type
Label
  • A hyperbolic model of chemotaxis on a network: a numerical study (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1051/m2an/2013098 (literal)
Alternative label
  • G. Bretti , R. Natalini, and M. Ribot (2014)
    A hyperbolic model of chemotaxis on a network: a numerical study
    in Modélisation mathématique et analyse numérique (En ligne)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • G. Bretti , R. Natalini, and M. Ribot (literal)
Pagina inizio
  • 231 (literal)
Pagina fine
  • 258 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 48 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto per le Applicazioni del Calcolo \"M. Picone\", Consiglio Nazionale delle Ricerche Via dei Taurini 19 Rome ITALY Laboratoire J. A. Dieudonné, Université de Nice-Sophia Antipolis, France (literal)
Titolo
  • A hyperbolic model of chemotaxis on a network: a numerical study (literal)
Abstract
  • 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 motivated by tissue-engineering scaffolds used for improving wound healing. We introduce a numerical scheme, which guarantees global mass densities conservation. Moreover our scheme is able to yield a correct approximation of the effects of the source term at equilibrium. Several numerical tests are presented to show the behavior of solutions and to discuss the stability and the accuracy of our approximation. (literal)
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