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

Fausto Cavalli (), Andrea Gamba (), Giovanni Naldi () and Matteo Semplice ()
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Fausto Cavalli: Università di Milano, Dipartimento di Matematica
Andrea Gamba: Politecnico di Torino, Dipartimento di Matematica
Giovanni Naldi: Università di Milano, Dipartimento di Matematica
Matteo Semplice: Università di Milano, Dipartimento di Matematica

A chapter in Math Everywhere, 2007, pp 179-191 from Springer

Abstract: 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 embryo 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 more amenable to 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.

Keywords: Blood Vessel Formation; Numerical Dissipation; Relaxation Scheme; Relaxation System; High Resolution Scheme (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-44446-6_15

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DOI: 10.1007/978-3-540-44446-6_15

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