**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)

**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)