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From kinetic models of multicellular growing systems to macroscopic biological tissue models

โœ Scribed by A. Bellouquid; E. De Angelis

Book ID
108226242
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
276 KB
Volume
12
Category
Article
ISSN
1468-1218

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๐Ÿ“œ SIMILAR VOLUMES

From microscopic to macroscopic descript
From microscopic to macroscopic description of multicellular systems and biological growing tissues
โœ Nicola Bellomo; Abdelghani Bellouquid; Miguel A. Herrero ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 367 KB

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 asy

From the mathematical kinetic theory for
From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models
โœ Nicola Bellomo; Abdelghani Bellouquid; Juan Soler ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 574 KB

This paper deals with the derivation of macroscopic equations from the underlying kinetic model delivered by the kinetic theory of active particles with discrete microscopic states. Hyperbolic models for local density and mean velocity are obtained with the aim at adding further knowledge to mathema