Recent papers (2020-)

Snapping out Brownian motion and diffusion across semi-permeable interfaces

R. D. Schumm and P. C. Bressloff. A numerical method for solving snapping out Brownian motion in 2D bounded domains. Submitted (2023).

P. C. Bressloff. Renewal equations for single-particle diffusion in multi-layered media. Submitted (2023).

P. C. Bressloff. The 3D narrow capture problem for traps with semipermeable interfaces. Submitted (2023).

P. C. Bressloff. Diffusion with stochastic resetting screened by a semi-permeable interface. J. Phys. A 56 105001 (2023).

P. C. Bressloff. Renewal equations for single-particle diffusion through a semi-permeable interface. Phys. Rev. E 107 014110(2023).

P. C. Bressloff. A probabilistic model of diffusion through a semi-permeable barrier. Proc. Roy. Soc. A 478 2022.0615 (2022).

Encounter-based models of diffusion in partially absorbing media

P. C. Bressloff. Encounter-based reaction-subdiffusion model II: partially absorbing traps and the occupation time propagator. Submitted (2023).

P. C. Bressloff. Encounter-based reaction-subdiffusion model I: surface adsorption and the local time propagator. Submitted (2023).

P. C. Bressloff. Close encounters of the sticky kind: Brownian motion at absorbing boundaries. Submitted (2023).

P. C. Bressloff. Stochastically switching diffusion with partially reactive surfaces. Phys. Rev. E 106 034108 (2022).

P. C. Bressloff. The narrow capture problem: an encounter-based approach to partially reactive targets. Phys. Rev. E 105 034141 (2022)

P. C. Bressloff. Accumulation times for diffusion-mediated surface reactions. J. Phys. A 55 415002 (2022).

P. C. Bressloff. Spectral theory of diffusion in partially absorbing media. Proc. Roy. Soc A 478 20220319 (2022).

P. C. Bressloff. Diffusion in a partially absorbing medium with position and occupation time resetting. J. Stat. Mech. 063207 (2022).

P. C. Bressloff. Diffusion-mediated surface reactions and stochastic resetting. J. Phys. A 55 275002 (2022).

P. C. Bressloff. Diffusion-mediated absorption by partially reactive targets: Brownian functionals and generalized propagators. J. Phys. A 55 205001 (2022).

Active particles

P. C. Bressloff. Trapping of an active Brownian particle at a partially absorbing wall. Submitted (2023).

P. C. Bressloff. Encounter-based model of a run-and-tumble particle II: absorption at sticky boundaries. Submitted (2023).

P. C. Bressloff. Encounter-based model of a run-and-tumble particle. J. Stat. mech. 113206 (2022).

P. C. Bressloff. Occupation time of a run-and-tumble particle with resetting. Phys. Rev. E 102 042135 (2020)

Narrow capture and diffusion in singularly perturbed domains

P. C. Bressloff. Accumulation time of diffusion in a 3D singularly perturbed domain. SIAM J. Appl. Math. In press (2023)

P. C. Bressloff. Accumulation time of diffusion in a 2D singularly perturbed domain. Proc. Roy. Soc A 478 20210847 (2022)

P. C. Bressloff and R. D. Schumm. The narrow capture problem with partially absorbing targets and stochastic resetting. Multiscale Model. Simul. 20 857-881 (2022)

P. C. Bressloff. Asymptotic analysis of target fluxes in the three-dimensional narrow capture problem. Multiscale Model. Simul. 19 612-632 (2021)

P. C. Bressloff. Asymptotic analysis of extended two-dimensional narrow capture problems. Proc Roy. Soc. A 477 20200771 (2021)

P. C. Bressloff. Two-dimensional Ostwald ripening in a concentration gradient. J. Phys. A 53 365002 (2020)

P. C. Bressloff. Active suppression of Ostwald ripening: Beyond mean field theory. Phys. Rev. E 101 042804 (2020)

Stochastic processes with resetting

P. C. Bressloff. Accumulation time of stochastic processes with resetting. J. Phys. A 54 54 354001 (2021)

R. D. Schumm and P. C. Bressloff. Search processes with stochastic resetting and partially absorbing targets. J. Phys. A 54 404004 (2021)

P. C. Bressloff. Drift-diffusion on a Cayley tree with stochastic resetting: the localization-delocalization transition. J. Stat. Mech. 063206 (2021)

P. C. Bressloff. Stochastic resetting and the mean-field dynamics of focal adhesions. Phys. Rev. E 102 022134 (2020)

P. C. Bressloff. Switching diffusions and stochastic resetting. J. Phys. A 53 275003 (2020)

P. C. Bressloff. Diffusive search for a stochastically-gated target with resetting. J. Phys. A 53 425001 (2020)

P. C. Bressloff. Queueing theory of search processes with stochastic resetting. Phys. Rev. E 102 032109 (2020)

P. C. Bressloff. Search processes with stochastic resetting and multiple targets. Phys. Rev. E 102 022115 (2020)

P. C. Bressloff. Modeling active cellular transport as a directed search process with stochastic resetting and delays. J. Phys. A 53 355001 (2020)

P. C. Bressloff. Directed intermittent search with stochastic resetting. J. Phys. A 53 105001 (2020)

Stochastic models of cellular transport

P. C. Bressloff. 2D interfacial diffusion model of inhibitory synaptic receptor dynamics. Submitted (2023).

R. D. Schumm and P. C. Bressloff. Local accumulation times in a diffusion-trapping model of synaptic receptor dynamics. Phys. Rev. E 105 064407 (2022).

P. C. Bressloff. Local accumulation time for diffusion in cells with gap junction coupling. Phys. Rev. E 105 034404 (2022).

P. C. Bressloff. Queuing model of axonal transport. Brain Multiphysics 2 100042 (2021)

P. C. Bressloff, S. D. Lawley and P. Murphy. Effective permeability of gap junctions with age-structured switching SIAM J. Appl. Math 80 312-337 (2020)

P. Murphy, P. C. Bressloff and S. D. Lawley. Interaction between switching diffusivities and cellular microstructure. Multiscale Model. Simul. 18 572-588 (2020)

Self-organization in cellular processes

P. C. Bressloff. Morphogen gradient formation in partially absorbing media. Phys. Biol. 19 066005 (2022).

P. C. Bressloff. Directional search-and-capture model of cytoneme-based morphogenesis. SIAM J. Appl. Math 81 919-938 (2021)

P. C. Bressloff. Multi-spike solutions of a hybrid reaction-transport model. Proc Roy. Soc. A 477 20200829 (2021)

Stochastic hybrid path integrals

P. C. Bressloff. Construction of stochastic hybrid path integrals using operator methods. J. Phys. A 54 185001 (2021)

P. C. Bressloff. Coherent spin states and stochastic hybrid path integrals. J. Stat. Mech. 043207 (2021)