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

In: Math Everywhere

Author

Listed:
  • 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)

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.

Suggested Citation

  • Fausto Cavalli & Andrea Gamba & Giovanni Naldi & Matteo Semplice, 2007. "Approximation of 2D and 3D Models of Chemotactic Cell Movement in Vasculogenesis," Springer Books, in: Giacomo Aletti & Alessandra Micheletti & Daniela Morale & Martin Burger (ed.), Math Everywhere, pages 179-191, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-44446-6_15
    DOI: 10.1007/978-3-540-44446-6_15
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