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Markovian Reaction-Transport: Modelling Biological Invasions

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Coupling Geometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation

A common key feature of many biological invasions is the existence of rest phases during which individuals reproduce. Since this process alternates with phases of movement it is necessary to make use of a general description where both processes are coupled, i.e., cannot occur separately. However, some recent studies propose reaction-diffusion equations that lead to behaviours that cannot be physically accepted. In this talk I will show the reasons why these equations cannot be used and will present mesoscopic models adequate for biological invasions modelling.

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

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