Modeling chemotaxis from L-2-closure moments in kinetic theory of active particles
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AMER INST MATHEMATICAL SCIENCES-AIMS
Living systemsCancer cellsChemotaxisKinetic theoryMulti-cellular systemsClosure methodKeller–Segel
Bellomo, N., Bellouquid, A., Nieto, J., & Soler, J. (2013). Modeling chemotaxis from L-2-closure moments in kinetic theory of active particles. Discrete and Continuous Dynamical Systems-Series B, 18(4), 847-863. [doi: 10.3934/dcdsb.2013.18.847]
SponsorshipMinistry of Education, Universities and Research (MIUR); Hassan II Academy of Sciences and Technology (Morocco)
This paper deals with the derivation of macroscopic tissue models from the underlying description delivered by a class of equations modeling binary mixtures of multi-cellular systems by methods of the kinetic theory for active particles. Cellular interactions generate both modification of biological functions and proliferative-destructive events. The analysis refers to a suitable hyperbolic 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 chemotaxis phenomena by the Keller–Segel approximation.