PAUL C. BRESSLOFF portrait
  • Adjunct Professor, Ophthalmology & Visual Science
  • Adjunct Professor, Mathematics
801-585-1633

Publications

  • Paul C Bressloff (2023). Renewal equations for single-particle diffusion through a semipermeable interface. Phys. Rev E. Vol. 107, 014110. Published, 01/2023.
  • Paul C Bressloff (2022). Probabilistic model of diffusion through a semipermeable membrane. Proc Roy Soc A. Vol. 478, 20220615. Published, 12/2022.
  • Paul C Bressloff (2022). Accumulation time of diffusion in a 3D singularly perturbed domain. SIAM J. Apple. Math. Accepted, 12/2022.
  • Paul C Bressloff (2022). Encounter-based model of a run-and-tumble particle. J. Stat. Mech. Vol. 113206. Published, 11/2022.
  • Paul C Bressloff (2022). Morphogen gradient formation in partially absorbing media. Phys. Biol. Vol. 19, 066005. Published, 09/2022.
  • Paul C Bressloff (2022). Accumulation times for diffusion-mediated surface reactions. J. Phys. A. Vol. 55, 415002. Published, 09/2022.
  • Paul C Bressloff (2022). Stochastically switching diffusion with partially reactive surfaces. Phys. Rev. E. Vol. 106, 034108. Published, 09/2022.
  • Paul C Bressloff (2022). Spectral theory of diffusion in partially absorbing media. Proc Roy Soc A. Vol. 478, 20220319. Published, 08/2022.
  • Paul C Bressloff (2022). Diffusion in partially absorbing media with position and occupation time resetting. J. Stat. Mech. Vol. 063207. Published, 06/2022.
  • Paul C Bressloff & Ryan Schumm (2022). The narrow capture problem with partially absorbing targets and stochastic resetting. Multiscale Model. Simul. Vol. 20, 857-881. Published, 06/2022.
  • Paul C Bressloff & Ryan Schumm (2022). Local accumulation times in a diffusion--trapping model of synaptic receptor dynamics. Physical Review E. Vol. 105, 064407. Published, 06/2022.
  • Paul C Bressloff (2022). Diffusion-mediated surface reactions and stochastic resetting. J. Phys. A. Vol. 55, 275002. Published, 03/2022.
  • Paul C Bressloff (2022). Diffusion-mediated absorption by partially-reactive targets: Brownian functionals and generalized propagators. J. Phys. A. Vol. 55, 205001. Published, 03/2022.
  • Paul C Bressloff (2022). The narrow capture problem: an encounter-based approach to partially reactive targets. Phys. Rev. E. Vol. 105, 034141. Published, 03/2022.
  • Paul C. Bressloff (2022). Accumulation time of di!usion in a two-dimensional singularly perturbed domain. Proc. Roy. Soc. A. Vol. 478, 20210847. Published, 03/2022.
  • Paul C. Bressloff (2022). Local accumulation time for diffusion in cells with gap junction coupling. Phys. Rev. E. Vol. 105, 034404. Published, 02/2022.
  • P. C. Bressloff (2021). Stochastic Processes in Cell Biology (2nd edition). Volume I. (pp. 1-741). Springer. Published, 12/2021.
  • P. C. Bressloff (2021). Stochastic Processes in Cell Biology (2nd edition). Volume II. (pp. 742-1442). Springer. Published, 12/2021.
  • Paul C. Bressloff (2021). Queuing model of axonal transport. Brain Multiphysics. Vol. 2, 100042. Published, 10/2021.
  • Paul C. Bressloff & Ryan Schumm (2021). Search processes with stochastic resetting and partially absorbing targets. J. Phys. A. Vol. 54, 404004. Published, 09/2021.
  • Paul C . Bressloff (2021). Accumulation time of stochastic processes with resetting. J. Phys. A. Vol. 54, 354001. Published, 08/2021.
  • Paul C. Bressloff (2021). Drift-diffusion on a Cayley tree with stochastic resetting: the localization–delocalization transition. J. Stat. Mech. Vol. 063206. Published, 06/2021.
  • Paul C. Bressloff (2021). Coherent spin states and stochastic hybrid path integrals. J. Stat. Mech. Vol. 043207. Published, 04/2021.
  • Paul C. Bressloff (2021). Construction of stochastic hybrid path integrals using operator methods. J. Phys. A. Vol. 54, 185001. Published, 03/2021.
  • P. C. Bressloff (2021). Multi-spike solutions of a hybrid reaction-transport model. Proc. Roy. Soc. A. Vol. 477, 20200829. Published, 03/2021.
  • P. C. Bressloff (2021). Asymptotic analysis of target fluxes in the three-dimensional narrow capture problem. SIAM Multiscale Model. Simul. Vol. 19, 612-632. Published, 03/2021.
  • P. C. Bressloff (2021). Asymptotic analysis of extended two-dimensional narrow capture problems. Proc. Roy. Soc. A. Vol. 477, 20200771. Published, 02/2021.
  • P. C. Bressloff (2021). First-passage processes and the target-based accumulation of resources. Phys. Rev. E. Vol. 103, 012101. Published, 01/2021.
  • P. C. Bressloff (2021). Search-and-capture model of cytoneme-based morphogenesis in multi-dimensional domains. SIAM J. Appl. Math. Vol. 81, 919-938. Published, 01/2021.
  • P. C. Bressloff & H. Kim (2020). Stochastic Turing pattern formation in a model with active and passive transport. Bull. Math. Biol. Published, 10/2020.
  • P. C. Bressloff (2020). Queueing theory of search processes with stochastic resetting. Phys. Rev. E. Published, 09/2020.
  • P. C. Bressloff (2020). Target competition for resources under multiple search-and-capture events with stochastic resetting. Proc. Roy. Soc. A. Published, 09/2020.
  • P. C. Bressloff (2020). Occupation time of a run-and-tumble particle with resetting. Phys. Rev. E. Published, 09/2020.
  • P. C. Bressloff (2020). Modeling active cellular transport as a directed search process with stochastic resetting and delays. J. Phys. A. Published, 09/2020.
  • P. C. Bressloff (2020). Diffusive search for a stochastically-gated target with resetting. J. Phys. A. Published, 09/2020.
  • P. C. Bressloff (2020). Search processes with stochastic resetting and multiple targets. Phys. Rev. E. Published, 08/2020.
  • P. C. Bressloff (2020). Stochastic resetting and the mean-field dynamics of focal adhesions. Phys. Rev. E. Published, 08/2020.
  • P. C. Bressloff (2020). Two-dimensional droplet ripening in a concentration gradient. J. Phys. A. Published, 07/2020.
  • P. C. Bressloff (2020). Switching diffusions and stochastic resetting. J. Phys. A. Published, 05/2020.
  • P. C. Bressloff} (2020). Active suppression of Ostwald ripening: beyond mean field theory. Phys. Rev. E. Published, 04/2020.
  • P. C. Bressloff (2020). Stochastically-gated diffusion model of selective nuclear transport. Phys. Rev. E. Published, 04/2020.
  • P. C. Bressloff & J. N. MacLaurin (2020). Wandering bumps in a stochastic neural field: a variational approach. Physica D. Published, 02/2020.
  • P. C. Bressloff (2020). Directed intermittent search with stochastic resetting. J. Phys. A. Published, 01/2020.
  • P. C. Bressloff & P. Murphy and S. D. Lawley. (2020). Interaction between switching diffusivities and cellular microstructure. SIAM Multiscale Model. Simul. Published, 01/2020.
  • P. C. Bressloff & S. D. Lawley and P. Murphy (2020). Effective permeability of gap junctions with age-structured switching. SIAM J. Appl. Math. Published, 01/2020.
  • P. C. Bressloff & S. Carroll and H. Brooks (2020). Pattern formation in a two-dimensional hybrid reaction-transport model. Physica D. Published, 01/2020.
  • P. C. Bressloff & J. N. Maclaurin (2020). Phase reduction of stochastic biochemical oscillators. SIAM J. Appl. Dyn. Syst. Published, 01/2020.
  • H. Kim & P. C. Bressloff (2019). Impulsive signaling model of cytoneme-based morphogen gradient formation. Phys. Biol. Vol. 16, 056005. Published, 07/2019.
  • P. C. Bressloff & S. R. Carroll (2019). Stochastic neural fields as gradient dynamical systems. Phys. Rev. E. Vol. 100, 012402. Published, 07/2019.
  • P. C. Bressloff & H. Kim (2019). A search-and-capture model of cytoneme-mediated morphogen gradient formation. Phys. Rev. E. Vol. 99, o52401. Published, 05/2019.
  • P. C. Bressloff (2019). Stochastic neural field theory of wandering bumps on a sphere. Physica D. Vol. 399, 138-152. Published, 05/2019.
  • P. C. Bressloff (2019). Stochastic neural field model of stimulus-dependent neural variability. PLoS Comp. Biol. Vol. 15, e1006755. Published, 03/2019.
  • P. C. Bressloff & E. Levien (2019). Propagation of Extrinsic Fluctuations in Biochemical Birth-Death Processes. Bull Math Biol. Vol. 16, 1519-1541. Published, 03/2019.
  • P. C. Bressloff & S. D. Lawley and P. Murphy (2019). Protein concentration gradients and switching diffusions. Physics. Rev. E. Vol. 99, 032409. Published, 03/2019.
  • G. Fan & P. C. Bressloff (2019). Modeling the role of feedback in the adaptive response of bacterial quorum sensing. Bull. Math. Biol. Vol. 81, 1479-1505. Published, 01/2019.
  • G. Fan & G. Russo and P. C. Bressloff (2019). Network synchronization with relative state dependent noise through a shared medium. SIAM J. Applied. Dyn. Syst. Vol. 18, 193--1953. Published, 01/2019.
  • P. C. Bressloff & J. N. MacLaurin (2018). Stochastic hybrid systems in cellular neuroscience. J. Math. Neurosci. Vol. 8. Published, 12/2018.
  • P. C. Bressloff & J. N. Maclaurin (2018). On the synchronization of stochastic hybrid oscillators driven by a common switching environment. Chaos. Vol. 128, 123123. Published, 09/2018.
  • H. Kim & P. C. Bressloff (2018). Direct vs. synaptic coupling in a mathematical model of cytoneme-based morphogen gradient formation. SIAM J. Appl. Math. Vol. 78, 2323-2347. Published, 09/2018.
  • P. C. Bressloff, S. Lawley & P. Murphy (2018). Diffusion in an age-structured randomly switching environment. J. Phys. A. Vol. 51, 315001. Published, 06/2018.
  • P. C. Bressloff & J. N. Maclaurin (2018). A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Chaos. Vol. 28, 063105. Published, 06/2018.
  • P. C. Bressloff & J. N. MacLaurin (2018). A variational method for analyzing stochastic limit cycle oscillators. SIAM J. Appl. Dyn. Syst. Vol. 17, 2205-2233. Published, 02/2018.
  • E. Levien & P. C. Bressloff (2018). Robustness of stochastic chemical reaction networks to extrinsic noise: the role of deficiency. Multiscale Model. Simul. Vol. 16, 1519-1541. Published, 01/2018.
  • P. C. Bressloff & H. Kim (2018). Bidirectional transport model of morphogen gradient formation via cytonemes. Phy. Biol. Vol. 15, 026010. Published, 01/2018.
  • P. C. Bressloff (2018). Doubly stochastic Poisson model of flagellar length control. SIAM J. Appl. Math. Vol. 78, 719-741. Published, 01/2018.
  • S. M. Carroll & P. C. Bressloff (2018). Symmetric Bifurcations in a Neural Field Model for encoding the direction of spatial contrast gradients. SIAM J. Appl. Dyn. Syst. Vol. 17, 1-51. Published, 01/2018.
  • E. Levien & P. C. Bressloff (2017). On balance relations for irreversible chemical reaction networks. J. Phys. A. Vol. 50, 475004. Published, 10/2017.
  • G. Fan & P. C. Bressloff (2017). Population model of quorum sensing with multiple pathways. Bull Math Bio. Vol. 79, 2599-2626. Published, 09/2017.
  • P. C. Bressloff, B. Karamched, S. Lawley & E. Levien (2017). Diffusive transport in the presence of stochastically gated absorption. Phys Rev E. Vol. 96, 022102. Published, 08/2017.
  • P. C. Bressloff & S. D. Lawley (2017). Hybrid colored noise process with space-dependent switching rates. Phys Rev E. Vol. 96, 012129. Published, 07/2017.
  • H. A. Brooks & P. C. Bressloff (2017). Turing mechanism for homeostatic control of synaptic density in C elegans. Phys Rev E. Vol. 96, 012413. Published, 07/2017.
  • P. C. Bressloff & S. D. Lawley (2017). Temporal disorder as a mechanism for spatially heterogeneous diffusion. Phys Rev E. Vol. 95, 060101(R). Published, 06/2017.
  • P. C. Bressloff & S. D. Lawley (2017). Mean first passage times for piecewise deterministic Markov processes and the effects of critical points. J. Stat. Mech. 063202. Published, 06/2017.
  • E. Levien & P. C. Bressloff (2017). Coupling sample paths to the partial thermodynamic limit in stochastic chemical reaction networks. J. Comp. Phys. Vol. 346, 1-13. Published, 06/2017.
  • A. Angelucci, M. Bijanzade, L. Nurminen, F. Federer, S. Merlin & P. C. Bressloff (2017). Circuits and mechanisms for surround modulation in visual cortex. Ann. Rev. Neuroscience. Vol. 40, 425-451. Published, 05/2017.
  • P. C. Bressloff & O. Faugeras (2017). On the Hamiltonian structure of large deviations in stochastic hybrid systems. J. Stat. Mech. Vol. 3, 033206. Published, 03/2017.
  • Paul Bressloff & Sean Lawley (2017). Dynamically active compartments coupled by a stochastically-gated gap junction. J. Nonlinear Sci. Vol. 27, 1487-1512. Published, 03/2017.
  • P. C. Bressloff & S. D. Lawley (2017). Residence times for a Brownian particle with temporal heterogeneity. J. Phys. A. Vol. 50, 195001. Published, 03/2017.
  • P. C. Bressloff. Stochastic switching in biology: from genotype to phenotype. J. Phys. A pp. 137 (2017). Published, 02/2017.
  • B. Karamched and P. C. Bressloff. Effects of geometry on reversible vesicular transport. J. Phys. A 50 055601 (2017). Published, 01/2017.
  • P. C. Bressloff. Feynman-Kac formula for stochastic hybrid systems. Phys. Rev. E 95 012138 (2017). Published, 01/2017.
  • P. C. Bressloff. Stochastically-gated local and occupation times of a Brownian particle. Phys. Rev. E 95 012130 (2017). Published, 01/2017.
  • P. C. Bressloff. Stochastic Liouville equation for particles driven by dichotomous environmental noise. Phys. Rev. E 95 012124 (2017). Published, 01/2017.
  • B. Xu & P. C. Bressloff (2017). A theory of synchrony for active compartments with delays coupled through bulk diffusion. Physics D. Vol. 341, 45-59. Published, 01/2017.
  • E. Levien and P. C. Bressloff. A stochastic hybrid framework for obtaining statistics of many random walkers in a switching environment. Multiscale Model. Simul. 14 1417-1433 (2016). Published, 11/2016.
  • 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). Published, 10/2016.
  • P. C. Bressloff. Stochastic Fokker-Planck equation in random environments. Phys. Rev. E. 94 042129 (2016). Published, 10/2016.
  • H. Brooks and P. C. Bressloff. A mechanism for Turing pattern formation with active and passive transport. SIAM J. Appl. Dyn. Syst. 15 1823-1843 (2016). Published, 10/2016.
  • B. Xu and P. C. Bressloff. PDE-DDE model of cell polarization in fission yeast. SIAM J. Appl. Math. 76 1844-1870 (2016). Published, 09/2016.
  • P. C. Bressloff. Diffusion in cells with stochastically-gated gap junctions. SIAM J. Appl. Math. 76 1658-1682 (2016). Published, 08/2016.
  • B. Karamched and P. C. Bressloff. Model of reversible vesicular transport with exclusion. J. Phys. A 49 345602 (25pp) (2016). Published, 07/2016.
  • P. C. Bressloff. Ultrasensitivity and noise amplification in a model of {\em V. harveyi} quorum sensing. Phys. Rev. E 93 062418 (2016). Published, 06/2016.
  • P. C. Bressloff and S. D. Lawley. Diffusion on a tree with stochastically-gated nodes. J. Phys. A. 49 245601 (2016). Published, 05/2016.
  • P. C. Bressloff. Aggregation-fragmentation model of vesicular transport in neurons. J. Phys. A 49 145601 (2016). Published, 02/2016.
  • S. R. Carroll and P. C. Bressloff. Phase equations for patterns of orientation selectivity in a neural field model of visual cortex. SIAM J. Appl. Dyn. Syst 15 60-83 (2016). Published, 01/2016.
  • 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). Published, 12/2015.
  • P. C. Bressloff and S. D. Lawley. Escape from subcellular domains with randomly switching boundaries. SIAM Multiscale Model. Simul. 13 1420-1445 (2015). Published, 12/2015.
  • B. Xu and P. C. Bressloff. Model of growth cone membrane polarization via microtubule length regulation. Biophys. J. 109 (2015). Published, 11/2015.
  • P. C. Bressloff and S. R. Carroll. Laminar neural field model of laterally propagating waves of orientation selectivity. PLoS Comput. Biol. 11 e1004545 (2015). Published, 10/2015.
  • E. Levien and P. C. Bressloff. Quasi-steady-state analysis of flashing ratchets. Phys. Rev. E 92 042129 (2015). Published, 10/2015.
  • P. C. Bressloff and B. Karamched. A frequency-decoding mechanism for axonal length sensing. Front. Cellular Neuro. 9 281 (2015). Published, 07/2015.
  • H. Brooks and P. C. Bressloff. Quasicycles in the stochastic hybrid stochastic Morris-Lecar model. Phys. Rev. E. 92 012704 (2015). Published, 07/2015.
  • B. Karamched and P. C. Bressloff. A delayed feedback model of axonal length sensing. Biophys. J. 108 2408-2419 (2015). Published, 05/2015.
  • P. C. Bressloff and B. Xu. Stochastic active-transport model of cell polarization. SIAM J. Appl. Math. 75 652-678 (2015). Published, 04/2015.
  • P. C. Bressloff and E. Levien. Synaptic democracy and active intracellular transport in axons. Phys. Rev. Lett. 114 168101 (2015). Published, 04/2015.
  • P. C. Bressloff and Z. P. Kilpatrick. Nonlinear Langevin equations for the wandering of fronts in stochastic neural fields. SIAM J. Appl. Dyn. Syst 14 305-334 (2015). Published, 03/2015.
  • P. C. Bressloff and S. D. Lawley. Moment equations for a piecewise deterministic PDE. {J. Phys. A 48 105001, 25pp (2015). Published, 02/2015.
  • P. C. Bressloff. Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. J. Math, Neuro. 5 (4), 33pp (2015). Published, 02/2015.
  • P. C. Bressloff and S. M. Carroll. Pattern-forming instabilities in neural fields on product spaces. SIAM J. Appl. Dyn. Syst.. 13, 1620-1653 (2014). Published, 11/2014.
  • P. C. Bressloff. Stochastic Processes in Cell Biology. 685 pp. (Springer, 2014). Published, 08/2014.
  • S. M. Carroll and P. C. Bressloff. Binocular rivalry waves in directionally selective neural field models. Physica D 285 8-17 (2014). Published, 07/2014.
  • P. C. Bressloff and J. M. Newby. Path-integrals and large deviations in stochastic hybrid systems. Phys. Rev. E . 89 042701 (2014). Published, 04/2014.
  • P. C. Bressloff. Waves in Neural Media: From Single Cells to Neural Fields, 450 pp. (Springer, 2014). Published, 02/2014.
  • P. C. Bressloff and J. M. Newby. Stochastic hybrid model of spontaneous dendritic NMDA spikes. Phys. Biol. 11 016006 (13pp) (2014). Published, 01/2014.
  • P. C. Bressloff and Yi Ming Lai. Dispersal and noise: different modes of synchronisation for ecological oscillators. J. Math. Biol. 67 1669-1690 (2013). Published, 10/2013.
  • J. M. Newby, P. C. Bressloff and J. P. Keener. The effect of Potassium channels on spontaneous action potential initiation by stochastic ion channels. Phys. Rev. Lett. 111 128101 (2013). Published, 09/2013.
  • P. C. Bressloff and J. Newby. Metastability in a stochastic neural network modeled as a jump velocity Markov process. SIAM J. Appl. Math. 12 1394-1435 (2013). Published, 08/2013.
  • P. C. Bressloff. Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. J. Math. Biol. 66 1499-1525 (2013). Published, 05/2013.
  • F. Fernandez, P. Malerba, P. Bressloff, and J. White. Entorhinal stellate cells show preferred spike phase-locking to theta inputs that is enhanced by correlations in synaptic activity. J. Neurosci 33 6027-6040 (2013). Published, 04/2013.
  • M. Webber and P. C. Bressloff. The effects of noise on binocular rivalry waves: a stochastic neural field model: Invited contribution J. Stat. Mech: Special issue on statistical physics and neuroscience. 3 P03001 (30 pages). Published, 03/2013.
  • P. C. Bressloff and S. Coombes. Neural bubble dynamics revisited. Cognitive Computation 5 281-294 (2013). Published, 02/2013.
  • P. C. Bressloff and J. Newby. Stochatic models of intracellular transport. Rev. Mod. Phys. 85 135-196. Published, 01/2013.
  • M. Galtier, O. Faugeras and P. C. Bressloff. Hebbian learning of recurrent connections: a geometrical perspective. Neural Comput. 24 2346-2383. Published, 12/2012.
  • P. C. Bressloff and J. Wilkerson. Traveling pulses in a stochastic neural field model of direction selectivity. Frontiers in Computational Neuroscience. 6 (90) (14 pages). Published, 11/2012.
  • P. C. Bressloff and Yi Ming Lai. Dispersal and noise: Various modes of synchrony in ecological oscillators. J. Math. Biol.. Accepted, 10/2012.
  • P. C. Bressloff. Two-pool model of cooperative vesicular transport Phys. Rev. E 86 0319111. Published, 07/2012.
  • P. C. Bressloff and M. A. Webber. Front Propagation in stochastic neural fields. SIAM J. Appl. Dyn. Syst. 11 708-740. Published, 06/2012.
  • P. C. Bressloff and S. D. Lawley. Escape from a potential well with a switching boundary. J. Phys. A 48 225001(2015). Published, 05/2012.
  • P. C. Bressloff. Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. J. Math. Biol.. Accepted, 05/2012.
  • P. C. Bressloff and M. A. Webber. Neural field model of binocular rivalry waves. J. Comput. Neurosci. 32 233-252. Published, 04/2012.
  • P. C. Bressloff and J. M. Newby. Filling of a Poisson trap by a population of random intermittent searchers. Phys. Rev. E 85 031909. Published, 03/2012.
  • P. C. Bressloff. From invasion to extinction in heterogeneous neural fields J. Math. Neurosci. 2 (6) 1-27. Published, 03/2012.
  • Shushruth, P. Mangapathy, J. M. Ichida, P. C. Bressloff, L. Schwabe and A. Angelucci. Strong recurrent networks compute the orientation-tuning of surround modulation in primate V1. J. Neurosci. 32: 308-321. Published, 01/2012.
  • V. M. Burlakov, N.Emptage, A.Goriely and P. C. Bressloff. Synaptic bistability due to nucleation and evaporation of receptor clusters. Phys. Rev. Lett. 108: 028101. Published, 01/2012.
  • P. C. Bressloff. Spatiotemporal dynamics of continuum neural fields: Invited Topical review. J. Phys. A 45: 033001 (109pp.). Published, 01/2012.
  • Y-M Lai, J. Newby and P. C. Bressloff. Effects of demographic noise on the synchronization of metacommunities by a fluctuating environment. Phys. Rev. Lett 107: 118102. Published, 09/2011.
  • P. C. Bressloff and M. A. Webber. Neural field model of binocular rivalry waves. J. Comput. Neurosci. Published, 08/2011.
  • P. C. Bressloff and J. Newby. Quasi-steady state analysis of motor-driven transport on a two--dimensional microtubular network. Phys. Rev. E 83: 061139. Published, 06/2011.
  • P. C. Bressloff and Y-M Lai. Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. J. Math. Neurosci. 1: 2. Published, 05/2011.
  • P. C. Bressloff and Z. P. Kilpatrick. Two-dimensional bumps in a piecewise smooth neural field model with synaptic depression. SIAM J. Appl. Math. 71: 379-408. Published, 03/2011.
  • Z. P. Kilpatrick and P. C. Bressloff. Binocular rivalry in a competitive neural network with synaptic depression. SIAM J. Appl. Dyn. Syst. 9: 1303-1347. Published, 12/2010.
  • P. C. Bressloff. Metastable states and quasicycles in a stochastic Wilson-Cowan model of neural population dynamics. Phys. Rev. E 82:051903. Published, 11/2010.
  • P. C. Bressloff and A. M. Oster. A theory for the alignment of cortical feature maps during development. Phys. Rev. E 82: 021920. Published, 08/2010.
  • J. Newby and P. C. Bressloff. Local synaptic signalling enhances the stochastic transport of motor-driven cargo in neurons. Phys. Biol. 7:036004. Published, 08/2010.
  • J. Newby and P. C. Bressloff. Random intermittent search and the tug-of-war model of motor-driven transport. J. Stat. Mech. P04014. Published, 04/2010.
  • Z. P. Kilpatrick and P. C. Bressloff. Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Physica D 239:1048-1060. Published, 03/2010.
  • J. Newby and P. C. Bressloff. Quasi-steady state reduction of molecular-based models of directed intermittent search. Bull. Math. Biol. 72:1840-1866. Published, 02/2010.
  • B. A. Earnshaw and P. C. Bressloff. Diffusion-activation model of CaMKII translocation waves in dendrites. J. Comput. Neurosci. 28:77-89. Published, 11/2009.
  • Z. P. Kilpatrick and P. C. Bressloff. Spatially structured oscillations in a 2D excitatory neuronal network with synaptic depression. J. Comput. Neurosci. 28: 1048-1060. Published, 10/2009.
  • Stochastic neural field theory and the system-size expansion. SIAM J. Appl. Math 70:1488-1521. Published, 09/2009.
  • P. C. Bressloff. Lectures in Mathematical Neuroscience In: Mathematical Biology, IAS/Park City Mathematical Series.(M. A. Lewis, M. A. J. Chaplain, J. P. Keener and P. K. Maini (eds) 14 293-398 (American Mathematical Society). Published, 09/2009.
  • Z. P. Kilpatrick and P. C. Bressloff. Effects of synaptic depression and adaptation on spatiatemporal dynamics of an excitatory neuronal network. Physica D 239: 547-560. Published, 04/2009.
  • P. C. Bressloff. Cable theory of protein receptor trafficking in a dendritic tree. Phys. Rev. E 79 041904. Published, 04/2009.
  • P. C. Bressloff and B. A. Earnshaw. A dynamical corral model of protein trafficking in spines. Biophys. J. 96: 1786-1802. Published, 03/2009.
  • J. Newby and P. C. Bressloff. Directed intermittent search for a hidden target on a dendritic tree. Phys. Rev. E 80: 021913. Published, 02/2009.
  • P. C. Bressloff and J. Newby. Directed intermittent search for hidden targets. New J. Phys. 11 023033. Published, 02/2009.

Presentations

Grants, Contracts & Research Gifts

  • Research Training in Mathematical and Computational Biology. PI: J. Keener. Co-PI(s): F. Adler, A. Borisyuk, P. Bressloff and A. Fogelson. 06/01/2012 - 06/01/2017. Total project budget to date: $0.00

Languages

  • English, fluent.
  • Italian, basic.