64 citations · 535 across the 76 of their papers we have counts for
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Construction of stochastic hybrid path integrals using "quantum-mechanical'' operators
Paul C. Bressloff
Stochastic hybrid systems involve the coupling between discrete and continuous stochastic processes. They are finding increasing applications in cell biology, ranging from modeling…
Asymptotic analysis of target fluxes in the three-dimensional narrow capture problem
Paul C Bressloff
We develop an asymptotic analysis of target fluxes in the three-dimensional (3D) narrow capture problem. The latter concerns a diffusive search process in which the targets are muc…
First-passage processes and the target-based accumulation of resources
Paul C Bressloff
Random search for one or more targets in a bounded domain occurs widely in nature, with examples ranging from animal foraging to the transport of vesicles within cells. Most theore…
Multi-spike solutions of a hybrid reaction-transport model
Paul C Bressloff
Numerical simulations of classical pattern forming reaction-diffusion systems indicate that they often operate in the strongly nonlinear regime, with the final steady-state consist…
Asymptotic analysis of extended two-dimensional narrow capture problems
Paul C Bressloff
In this paper we extend our recent work on two-dimensional (2D) diffusive search-and-capture processes with multiple small targets (narrow capture problems) by considering an asymp…
Directional search-and-capture model of cytoneme-based morphogenesis
Paul C Bressloff
In this paper we develop a directional search-and-capture model of cytoneme-based morphogenesis. We consider a single cytoneme nucleating from a source cell and searching for a set…