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SUMMARY:Stochastic search processes and encounter-based models of absorpti
 on - Paul Bressloff (Imperial College London)
DTSTART:20231123T133000Z
DTEND:20231123T143000Z
UID:TALK208441@talks.cam.ac.uk
DESCRIPTION:Encounter-based methods provide a general probabilistic framew
 ork for modelling absorption on the surface or interior of a target. An ab
 sorption event occurs when the contact time with the target exceeds a rand
 om threshold. If the probability distribution of the latter is an exponent
 ial function\, then one recovers the Markovian example of absorption at a 
 constant rate\, whereas a non-exponential distribution signifies non-Marko
 vian absorption. In the case of a partially absorbing target interior (sur
 face) the contact time is given by a Brownian functional known as the occu
 pation time (boundary local time). In this talk we review encounter-based 
 methods for diffusive search processes\, and then show how to extend the t
 heory to active run-and-tumble particles. We also apply the theory to diff
 usion through semi-permeable membranes.
LOCATION:Seminar Room 2\, Newton Institute
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