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


NEW: Second Edition has just been published

Paul C. Bressloff Stochastic Processes in Cell Biology I: Molecular Processes Interdisciplinary Applied Mathematics 41 (Springer) (2021)

Paul C. Bressloff Stochastic Processes in Cell Biology II: Cellular Processes Interdisciplinary Applied Mathematics 41 (Springer) (2021)

Notes and corrections (volume I)

Notes and corrections (volume II)

Solutions will be provided on request


Recent papers

Diffusion in partially absorbing media

P. C. Bressloff. Spectral theory of diffusion in partially absorbing media. Submitted (2022).

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

P. C. Bressloff. Diffusion-mediated surface reactions and stochastic resetting. J. Phys. A In press (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)

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

P. C. Bressloff and R. D. Schumm. The narrow capture problem with partially absorbing targets and stochastic resetting. Multiscale Model. Simul. In press(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)

Stochastic models of cellular transport

R. D. Schumm and P. C. Bressloff. Local accumulation times in a diffusion-trapping model of synaptic receptor dynamics. Submitted (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)