Stochastic search processes and encounter-based models of absorption

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• Paul Bressloff (Imperial College London)
• Thursday 23 November 2023, 13:30-14:30
• Seminar Room 2, Newton Institute.

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Encounter-based methods provide a general probabilistic framework for modelling absorption on the surface or interior of a target. An absorption event occurs when the contact time with the target exceeds a random threshold. If the probability distribution of the latter is an exponential function, then one recovers the Markovian example of absorption at a constant rate, whereas a non-exponential distribution signifies non-Markovian absorption. In the case of a partially absorbing target interior (surface) the contact time is given by a Brownian functional known as the occupation time (boundary local time). In this talk we review encounter-based methods for diffusive search processes, and then show how to extend the theory to active run-and-tumble particles. We also apply the theory to diffusion through semi-permeable membranes.

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

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