Professor Paul C Bressloff

Recent papers

Encounter-based models of partially absorbing media

P. C. Bressloff. Encounter-based model of a run-and-tumble particle. Submitted (2022).

P. C. Bressloff. Morphogen gradient formation in partially absorbing media. Submitted (2022).

P. C. Bressloff. Accumulation times for diffusion-mediated surface reactions. Submitted (2022).

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

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

Diffusion processes in singularly perturbed domains

P. C. Bressloff. Accumulation time of diffusion in a 3D singularly perturbed domain. Submitted (2022)

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)

Stochastic processes with resetting

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

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

Stochastic models of cellular transport

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. 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)