New and Notable

Math Biology Seminar

Biophysics and Stochastics Research Group

Recent Publications

Biological processes in switching environments

  • P. C. Bressloff. Stochastic switching in biology: from genotype to phenotype, Submitted (2016)

  • P. C. Bressloff. Stochastic Fokker-Planck equation in random environments Submitted (2016) .

  • P. C. Bressloff. Population-level correlations in stochastic gene expression Submitted (2016) .

  • E. Levien and P. C. Bressloff. A stochastic hybrid framework for obtaining statistics of many random walkers in a switching environment.Submitted (2016) .

  • P. C. Bressloff.Ultrasensitivity and noise amplification in a model of V. harveyi quorum sensing Phys. Rev. E 93 062418 (2016).

  • S.D. Lawley. Boundary value problems for statistics of diffusion in a randomly switching environment: PDE and SDE perspectives. SIAM J. Appl. Dyn. Syst. 15 2016.

  • P. C. Bressloff.Diffusion in cells with stochastically-gated gap junctions.SIAM J. Appl. Math. In press (2016).

  • P. C. Bressloff and S. D. Lawley. Diffusion on a tree with stochastically-gated nodes.J. Phys. A 49 245601 (2016).

  • S. D. Lawley and J. P. Keener.A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary.SIAM J. Appl. Dyn. Syst. 14 2015.

  • 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.Multi-scale Model. Simul. 13 1420-1445 (2015).

  • 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).

  • S. D. Lawley, J. C. Mattingly, M. C. Reed. Stochastic switching in infinite dimensions with applications to random parabolic PDE. SIAM J. Math. Anal. 47 2015.

  • S. D. Lawley, J. C. Mattingly, M. C. Reed. Sensitivity to switching rates in stochastically switched ODEs. Comm. Math. Sci. 12 2014.

    • Self-organization in biological cells

  • H. A. Brooks and P. C. Bressloff. A mechanism for Turing pattern formation with active and passive transport. In press (2016).

  • B. Xu and P. C. Bressloff. A PDE-DDE model for cell polarization in fission yeast SIAM J. Appl. Math In press (2016).

  • B. 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).

  • P. C. Bressloff and B. Karamched. A frequency-dependent decoding mechanism for axonal length sensing. Front. Cellular Neurosci. 9 281 (2015).

  • B. Karamched and P. C. Bressloff. A delayed feedback model of axonal length sensing. Biophys. J 108 2408-2419 (2015).

Stochastic models of intracellular transport

  • P. C. Bressloff and B. Karamched. Model of reversible vesicular transport with exclusion J. Phys. A 49 345602 (2016).

  • P. C. Bressloff. Aggregation-fragmentation model of vesicular transport in neurons. J. Phys. A 49 145601 (2016).

  • S. D Lawley, M. Tuft and H. A. Brooks. Coarse-graining intermittent intracellular transport: Two- and three-dimensional models. Phys. Rev. E 92 2015.

  • E. Levien and P. C. Bressloff. Quasi-steady-state analysis of flashing ratchets. Phys. Rev. E 92 042129 (2015).

  • P. C. Bressloff and E. Levien. Synaptic democracy and active intracellular transport in axons. Phys. Rev. Lett. 114 168101 (2015).

Stochastic hybrid systems, ion channels and large deviations

  • P. C. Bressloff Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. J. Math. Neurosci 5 33pp. (2015)

  • P. C. Bressloff and J. M. Newby. Path-integrals and large deviations in stochastic hybrid systems. Phys. Rev. E 89 042701 (2014).

  • P. C. Bressloff and J. M. Newby. Stochastic hybrid model of spontaneous dendritic NMDA spikes.Phys. Biol. 11 016006 (13pp) (2014).

  • 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).

  • P. C. Bressloff and J. M. Newby. Metastability in a stochastic neural network modeled as a jump velocity Markov process. SIAM J. Appl. Dyn. Syst. 12 1394-1435 (2013).