Smoluchowski equation in perforamed domains: Homogenization and applications to mathematical models in medicine - Silvia Lorenzani (Politecnico di Milano)

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dalle 14:30 alle 14:30


Aula 2, Dipartimento di Matematica e Informatica

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G. Dimarco

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In recent years, the Smoluchowski equation has been considered in biomedical research to model the aggregation and diffusion of beta-amyloid peptide in the cerebral tissue, a process thought to be associated with the development of Alzheimer's disease. In this work, we study the homogenization of a Smoluchowski system of  discrete diffusion-coagulation equations with non-homogeneous Neumann boundary conditions, defined in a periodically perforated domain through a two scale convergence technique.
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