Derivation of new chemotaxis models by asymptotic analysis of kinetic models for large binary cell mixtures

Authors

  • N. Bellomo Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
  • A. Bellouquid Cadi Ayyad University, Ensa, Marrakech

DOI:

https://doi.org/10.34874/IMIST.PRSM/fsejournal-v4i2.28434

Keywords:

kinetic theory, multicellular systems, micro-macro asymptotic, Keller and Segel models

Abstract

This paper deals with the derivation of macroscopic tissue models from the underlying description delivered by a class of equations modeling, by methods of the kinetic theory, binary mixtures of multi-cellular systems. The analysis refers to a suitable parabolic approximation to show how the macroscopic tissue behavior can be described from the underlying cellular description. The approach is specifically focused on the modeling of classical chemotaxis phenomena, and the chemotaxis–fluid

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Published

01-02-2015

Issue

Section

Mathematics, Applied Mathematics, Computer Sciences