Modeling chemotaxis from L-2-closure moments in kinetic theory of active particles
Metadatos
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AMER INST MATHEMATICAL SCIENCES-AIMS
Materia
Living systems Cancer cells Chemotaxis Kinetic theory Multi-cellular systems Closure method Keller–Segel
Fecha
2013Referencia bibliográfica
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]
Patrocinador
Ministry of Education, Universities and Research (MIUR); Hassan II Academy of Sciences and Technology (Morocco)Resumen
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.