The efficient delivery of mRNA, proteins and other molecular products to their correct location within a cell (intracellular transport) is of fundamental importance to normal cellular function and development. Broadly speaking, there are two basic mechanisms for intracellular transport: passive diffusion within the cytosol or the surrounding plasma membrane of the cell, and active motor-driven transport along polymerized filaments such as microtubules and F-actin that comprise the cytoskeleton.
P. C. Bressloff and J. M. Newby. Stochastic models of intracellular transport (Review) Rev. Mod. Phys. 85 135-196 (2013)
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).
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. Morphogen gradient formation in partially absorbing media. Phys. Biol. 19 066005 (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. 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)
P. C. Bressloff. The 3D narrow capture problem for traps with semipermeable interfaces. Submitted (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. 20 857-881 (2022)
P. C. Bressloff. Accumulation time of diffusion in a 3D singularly perturbed domain. 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. 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)
P. C. Bressloff and S. D. Lawley. Stochastically-gated diffusion-limited reactions for a small target in a bounded domain. Phys. Rev. E 92 062117 (2015).
P. C. Bressloff and S. D. Lawley. Escape from subcellular domains with randomly switching boundaries. Multiscale Model. Simul. 13 1420-1445 (2015).
P. C. Bressloff. Local accumulation time for diffusion in cells with gap junction coupling. Phys. Rev. E 105 034404 (2022)
P. C. Bressloff. Stochastically-gated diffusion model of selective nuclear transport. Phys. Rev. E 101 042404 (2020)
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. C. Bressloff, S. D. Lawley and P. Murphy. Diffusion in an age-structured randomly switching environment J. Phys. A 51 315001 (2018).
P. C. Bressloff and S. D. Lawley. Dynamically active compartments coupled by a stochastically-gated gap junction. J. Nonlin. Sci. 27 1487–1512 (2017)
P. C. Bressloff and S. D. Lawley. Diffusion on a tree with stochastically-gated nodes. J. Phys. A 49 245601 (2016).
P. C. Bressloff. Diffusion in cells with stochastically-gated gap junctions. SIAM J. Appl. Math. 76 1658-1682 (2016).
P. C. Bressloff. Stochastically-gated local and occupation times of a Brownian particle. Phys. Rev. E 95 012130 (2017).
P. C. Bressloff. Stochastic Fokker-Planck equation in random environments. Phys. Rev. E 94 042129 (2016).
P. C. Bressloff and S. D. Lawley. Escape from a potential well with a switching boundary. J. Phys. A 48 225001 (2015).
P. C. Bressloff and S. D. Lawley. Moment equations for a piecewise deterministic PDE. J. Phys. A 48 105001 (2015).
P. Murphy, P. C. Bressloff and S. D. Lawley. Interaction between switching diffusivities and cellular microstructure. Multiscale Model. Simul. 18 572-588 (2020)
P. C. Bressloff, S. D. Lawley and P. Murphy. Protein concentration gradients and switching diffusions Phys. Rev. E 99 032409 (2019)
P. C. Bressloff and S. D. Lawley. Hybrid colored noise process with space-dependent switching rates. Phys. Rev. E 96 012129 (2017).
P. C. Bressloff and S. D. Lawley. Temporal disorder as a mechanism for spatially heterogeneous diffusion. Phys. Rev. E 95 060101(R) (2017).
P. C. Bressloff and S. D. Lawley. Residence times of a Brownian particle with temporal heterogeneity. J. Phys. A 50 195001 (2017).
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 receptor dynamics at proximal axodendritic synapses. Phys. Rev. E 105 064407(2022)
J. Newby and P. C. Bressloff. Directed intermittent search for a hidden target on a dendritic tree network. Phys. Rev. E 80 021913 (2009).
P. C. Bressloff and J. Newby. Intermittent search strategies for delivering mRNA particles to synaptic targets. New J. Phys. 11 023033 (2009).
P. C. Bressloff. Cable theory of protein receptor trafficking in dendritic trees. Phys. Rev. E 79 041904 (2009).
P. C. Bressloff and B. A. Earnshaw. A dynamical corral model of protein trafficking in spines. Biophys. J. 96 1786-1802 (2009).
P. C. Bressloff, B. A. Earnshaw and M. J. Ward. Diffusion of protein receptors on a cylindrical dendritic membrane with partially absorbing traps. SIAM J. Appl. Math. 68 1223-1246 (2008).
B. A. Earnshaw and P. C. Bressloff, A biophysical model of AMPA receptor trafficking and its regulation during LTP/LTD. J. Neurosci. 26 12362-12373 (2006).
P. C. Bressloff. A stochastic model of protein receptor trafficking prior to synaptogenesis. Phys. Rev. E 74 031910 (2006).
Bin Xu and P. C. Bressloff. A theory of synchrony for active compartments with delays coupled through bulk diffusion Physica D 341 45-59 (2017).
Bin Xu and P. C. Bressloff. A PDE-DDE model for cell polarization in fission yeast SIAM J. Appl. Math 76 1844-1870 (2016).
Bin Xu and P. C. Bressloff. Model of growth cone membrane polarization via microtubule length regulation. Biophys. J. 109 2203-2214 (2015).
P. C. Bressloff and B. Xu. Stochastic active-transport model of cell polarization. SIAM J. Appl. Appl. Math. 75 652-678 (2015).