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The Mean-Field limit for hybrid models of collective motions with chemotaxis

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FKTW02 - Frontiers in analysis of kinetic equations

One study a general class of hybrid mathematical models of collective motions of cells under the influence of chemical stimuli. The models are hybrid in the sense that cells are discrete entities given by ODE , while the chemoattractant is considered as a continuous signal which solves a diffusive equation. For this model one proves the mean-field limit in the Wasserstein distance to a system given by the coupling of a Vlasov-type equation with the chemoattractant equation. The approach and results are based on marginals of large number of individuals densities and provide explicit bounds. In the monokinetic case new pressureless nonlocal Euler-type model with chemotaxis is derived.

This talk is part of the Isaac Newton Institute Seminar Series series.

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