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On the derivation of macroscopic tissue equations from hybrid models of the kinetic theory of multicellular growing systems — The effect of global equilibrium

✍ Scribed by N. Bellomo; A. Bellouquid

Publisher
Elsevier
Year
2009
Tongue
English
Weight
562 KB
Volume
3
Category
Article
ISSN
1751-570X

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✍ N. Bellomo; A. Bellouquid 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 693 KB

This paper presents an asymptotic theory, based on the hyperbolic scaling, for a large class of Boltzmann-type equations suitable to model the evolution of a binary mixture of multicellular systems in biology. The modelling approach is that of the kinetic theory for active particles. Time scaling re

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✍ Nicola Bellomo; Abdelghani Bellouquid; Juan Soler 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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