Contact details

Department of Mathematics
University of Utah
155 South 1400 East
Salt Lake City
Utah 84112

Tel.: 801 585 1633
Fax.: 801 581 4148

Email: bressloff@math.utah.edu


Stochastic Processes in Cell Biology (2nd Edition)

Paul C. Bressloff Volume I: Molecular Processes Interdisciplinary Applied Mathematics 41 (Springer) (2021)

Paul C. Bressloff Volume II: Cellular Processes Interdisciplinary Applied Mathematics 41 (Springer) (2021)

Notes and corrections (volume I)

Notes and corrections (volume II)


Recent papers (2020-)

Snapping out Brownian motion and diffusion across semi-permeable interfaces

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

P. C. Bressloff. Diffusion with stochastic resetting screened by a semi-permeable interface. Submitted (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. 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. Stochastically switching diffusion with partially reactive surfaces. Phys. Rev. E (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).

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

Active matter

P. C. Bressloff. Encounter-based model of a run-and-tumble particle: 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)

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)

Narrow capture and diffusion in singularly perturbed domains

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

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

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)

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)