64 citations · 535 across the 76 of their papers we have counts for
14 papers · 1 filter
A generalized Dean-Kawasaki equation for an interacting Brownian gas in a partially absorbing medium
Paul C Bressloff
The Dean-Kawasaki (DK) equation is a stochastic partial differential equation (SPDE) for the global density of a gas of over-damped Brownian particles. In the thermodynamic…
Asymptotic analysis of particle cluster formation in the presence of anchoring sites
Paul C Bressloff
The aggregation or clustering of proteins and other macromolecules plays an important role in the formation of large-scale molecular assemblies within cell membranes. Examples incl…
Semipermeable interfaces and the target problem
Paul C Bressloff
In this chapter, we review our recent work on first passage time (FPT) problems for absorption by a target whose interface is semipermeable. For pedagogical reasons, we focus on a…
Truncated stochastically switching processes
Paul C Bressloff
There are a large variety of hybrid stochastic systems that couple a continuous process with some form of stochastic switching mechanism. In many cases the system switches between…
Global density equations for a population of actively switching particles
Paul C. Bressloff
There are many processes in cell biology that can be modelled in terms of an actively switching particle. The continuous degrees of freedom evolve according to a hybrid stochastic…
Transition path theory for diffusive search with stochastic resetting
Paul C Bressloff
Many chemical reactions can be formulated in terms of particle diffusion in a complex energy landscape. Transition path theory (TPT) is a theoretical framework for describing the d…