64 citations · 535 across the 76 of their papers we have counts for
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2D interfacial diffusion model of inhibitory synaptic receptor dynamics
Paul C Bressloff
The lateral diffusion and trapping of protein receptors within the postsynaptic membrane of a neuron plays a key role in determining the strength of synaptic connections and their…
The 3D narrow capture problem for traps with semipermeable interfaces
Paul C Bressloff
In this paper we analyze the narrow capture problem for a single Brownian particle diffusing in a three-dimensional (3D) bounded domain containing a set of small, spherical traps.…
Diffusion with stochastic resetting screened by a semipermeable interface
Paul C Bressloff
In this paper we consider the diffusive search for a bounded target with its boundary totally absorbing. We assume that the target is surrounded by a semip…
Renewal equations for single-particle diffusion through a semipermeable interface
Paul C Bressloff
Diffusion through semipermeable interfaces has a wide range of applications, ranging from molecular transport through biological membranes to reverse osmosis for water purification…
Encounter-based model of a run-and-tumble particle
Paul C Bressloff
In this paper we extend the encounter-based model of diffusion-mediated surface absorption to the case of an unbiased run-and-tumble particle (RTP) confined to a finite interval $[…
A probabilistic model of diffusion through a semi-permeable barrier
Paul C Bressloff
Diffusion through semipermeable structures arises in a wide range of processes in the physical and life sciences. Examples at the microscopic level range from artificial membranes…