Approximation of 2D and 3D Models of Chemotactic Cell Movement in Vasculogenesis

Fausto Cavalli, Andrea Gamba, Giovanni Naldi, Matteo Semplice

Risultato della ricerca: Contributo in libroContributo a convegno

1 Citazioni (Scopus)

Abstract

Cell migration plays a central role in a wide variety of biological phenomena. In the case of chemotaxis, cells (or an organism) move in response to a chemical gradient. Chemotaxis underlies many events during embrio development and in the adult body. An understanding of chemotaxis is not only gained through laboratory experiments but also through the analysis of model systems, which often are much more amenable to experimental manipulation. This work is concerned with the relaxation schemes for the numerical approximation of a 2D and 3D model for cell movement driven by chemotaxis. More precisely, we consider models arising in the description of blood vessels formation and network formation starting from a random cell distribution.
Lingua originaleEnglish
Titolo della pubblicazione ospiteMath Everywhere
Pagine179-191
Numero di pagine13
DOI
Stato di pubblicazionePubblicato - 2007
EventoMath Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry - Milano
Durata: 4 set 20056 set 2005

Convegno

ConvegnoMath Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry
CittàMilano
Periodo4/9/056/9/05

Keywords

  • ANGIOGENESIS
  • CULTURE
  • DIFFUSIVE RELAXATION
  • HIGH-RESOLUTION SCHEMES
  • HYPERBOLIC CONSERVATION-LAWS
  • KINETIC-EQUATIONS
  • NUMERICAL SCHEMES
  • SYSTEMS

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