Скачать или смотреть MMV | Prof. Paul Bressloff | Stochastic search processes and encounter-based models of absorption

MMV | Prof. Paul Bressloff | Stochastic search processes and encounter-based models of absorption

Speaker: Professor Paul Bressloff (Imperial College London)
Date: 23rd Nov 2023 - 13:30 to 14:30
Venue: INI Seminar Room 2
Title: Stochastic search processes and encounter-based models of absorption
Event: (MMV) Mathematics of movement: an interdisciplinary approach to mutual challenges in animal ecology and cell biology
Abstract: 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.

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Programme: https://www.newton.ac.uk/event/mmv/

Seminar Link: https://www.newton.ac.uk/seminar/41168/
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