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Explore a comprehensive lecture on stochastic search processes with resetting delivered by Professor Paul Bressloff from Imperial College London as part of the Mathematics of Movement series. Dive into the fundamental theory of random search processes with resetting, focusing on how particles or searchers return to fixed locations at random intervals. Learn about the relationship between mean first passage time (MFPT) and resetting rates in target finding scenarios. Examine two practical applications: cytoneme-mediated morphogenesis in cell biology, where long cell protrusions facilitate morphogen transport and viral spread, and transition path theory (TPT) in chemical reactions, analyzing diffusive search processes for cargo collection and delivery between source and target domains. Understand the complexities introduced by stochastic resetting in TPT applications, including time-reversal invariance challenges and calculating probability flux across dividing surfaces with discontinuous jumps.
