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A biased random walk through models of biological movement

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MMVW01 - Summer School on Mathematics of Movement

In this introductory talk I will take a tour through a variety of random walk models that have been used to describe biological movement. In particular, I will describe the popular position-jump and velocity-jump frameworks that have received significant attention in recent years. I will discuss the basic principles that underlie these models, and also provide a brief introduction to the suite of scaling techniques that allows extraction of an approximating partial differential equation model. Various recent developments will be considered, in particular the inclusion of nonlocal features: biological particles where movement decisions are made according to nonlocal evaluation of their environment across some perception range, and biological particles that perform occasional long range movements. Examples will be given in the context of both cellular and animal movement.

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

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