On the coupling of higher and lower scales using the mathematical kinetic theory of active particles. (English) Zbl 1162.92013
Summary: A mathematical framework of the kinetic theory of active particles is derived to couple two interacting systems at different scales. The dynamics at the higher scale is influenced by the lower scale. The analysis is focused on the coupling of multicellular systems in biology to the molecular scale, while the final aim consists in designing mathematical structures to assist towards the derivation of models of complex living systems.
MSC:
| 92C37 | Cell biology |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 92C99 | Physiological, cellular and medical topics |
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