Universidad Complutense de Madrid
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From microscopic to macroscopic description of multicellular systems and biological growing tissues

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Bellomo, Nicola y Bellouquid, Abdelghani y Herrero, Miguel A. (2007) From microscopic to macroscopic description of multicellular systems and biological growing tissues. Computers & Mathematics with Applications , 53 (3-4). pp. 647-663. ISSN 0898-1221

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0898122107001198


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This paper presents an asymptotic theory for a large class of Boltzmann-type equations suitable to model the evolution of multicellular systems in biology. The mathematical approach described herein shows how various types of diffusion phenomena, linear and nonlinear, can be obtained in suitable asymptotic limits. Time scaling related to cell movement and biological activity are shown to play a crucial role in determining the macroscopic equations corresponding to each case.


Tipo de documento:Artículo
Palabras clave:Kinetic theory; multicellular systems; asymptotic limits; nonlinear problems; bacterial chemotaxis; asymptotic analysis; mathematical-model; diffusion limit; kinetic-models; equations; aggregation; dictyostelium; angiogenesis; invasion
Materias:Ciencias Biomédicas > Biología > Biomatemáticas
Ciencias > Matemáticas > Investigación operativa
Código ID:16308
Depositado:11 Sep 2012 07:22
Última Modificación:07 Feb 2014 09:26

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