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From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models

โœ Scribed by Nicola Bellomo; Abdelghani Bellouquid; Juan Soler

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
574 KB
Volume
49
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

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 mathematical methods for modelling living matter.

๐Ÿ“œ SIMILAR VOLUMES

On the initial value problem of a class
On the initial value problem of a class of models of the kinetic theory for active particles
โœ L. Arlotti; E. De Angelis ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 227 KB

This paper deals with the qualitative analysis of the Cauchy problem for a class of systems constituted by a large number of interacting entities called active particles. Their state includes, in addition to geometrical and mechanical variables, also a microscopic state related to their socio-biolog