Publications

G. Fan and P. C. Bressloff. Population model of quorum sensing with multiple parallel pathways Submitted (2017)

E. Levien and P. C. Bressloff. Reversibility and stationary distributions in hybrid chemical reaction networks. Submitted (2017).

P. C. Bressloff and B. Karamched. A doubly stochastic Poisson model of flagellar length control. Submitted (2017).

S. Carroll and P. C. Bressloff. Symmetric Bifurcations in a Neural Field Model for encoding the direction of spatial contrast gradients. SIAM J. Appl. Dyn. Systems In press (2017)

P. C. Bressloff, B. M. Karamched, S. D. Lawley and E. Levien. Diffusive transport in the presence of stochastically gated absorption. In press (2017).

H. A. Zinnbrooks and P. C. Bressloff. Turing mechanism for homeostatic control of synaptic density in C. elegans. Phys. Rev. E In press (2017).

E. Levien and P. C. Bressloff. Coupling sample paths to the partial thermodynamic limit in stochastic chemical reaction networks. J. Comp. Phys. 346 1-13 (2017).

P. C. Bressloff and S. D. Lawley. Mean first passage times for piecewise deterministic Markov processes and the effects of critical points.. J. Stat. Phys. 063202 (2017).

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. Dynamically active compartments coupled by a stochastically-gated gap junction. J. Nonlin. Sci. In press (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. Stochastic switching in biology: from genotype to phenotype (Topical Review) J. Phys. A 50 133001 (2017)

P. C. Bressloff and O. Faugeras. On the Hamiltonian structure of large deviations in stochastic hybrid systems. J. Stat. Mech. 033206 (2017)

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)

B. Karamched and P. C. Bressloff. Effects of geometry on reversible vesicular transport. J. Phys. A 50 055601 (2017)

P. C. Bressloff. Feynman-Kac formula for stochastic hybrid systems. Phys. Rev. E 95 012138 (2017)

P. C. Bressloff. Stochastically-gated local and occupation times of a Brownian particle. Phys. Rev. E 95 012130 (2017)

P. C. Bressloff. Stochastic Liouville equation for particles driven by dichotomous environmental noise. Phys. Rev. E 95 012124 (2017)

P. C. Bressloff. Stochastic Fokker-Planck equation in random environments. Phys. Rev. E 94 042129 (2016)

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)

H. A. 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)

Bin Xu and P. C. Bressloff. A PDE-DDE model for cell polarization in fission yeast SIAM J. Appl. Math 76 1844-1870 (2016)

P. C. Bressloff. Diffusion in cells with stochastically-gated gap junctions. SIAM J. Appl. Math. 76 1658-1682 (2016)

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

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

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

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

S. Carroll and P. C. Bressloff. Phase equation for patterns of orientation selectivity in a neural field model of visual cortex. SIAM J. Appl. Dyn. Syst. 15 60-83 (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)

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)

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)

H. A. Brooks and P. C. Bressloff. Quasicycles in the stochastic hybrid Morris-Lecar neural model Phys. Rev. E 92 012704 (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)

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. Math 75 652-678 (2015)

P. C. Bressloff and S. Carroll. Laminar neural field model of laterally propagating waves of orientation selectivity. PLoS Comput. Biol. 11 e1004545 (2015)

P. C. Bressloff and Z. P. Kilpatrick Nonlinear Langevin equations for the wandering of fronts in stochastic neural fields. SIAM J. Appl. Dyns. Syst. 14 305-334 (2015)

P. C. Bressloff. Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. J. Math. Neurosci. 5 (4) 33pp. (2015)

P. C. Bressloff and S. M. Carroll. Pattern-forming instabilities in neural fields on product spaces. SIAM J. Appl. Dyns. Syst. 13 1620-1653 (2014).

G. T. Lyozin, P. C. Bressloff , A. Kumar, Y. Kosaka, H. J. Yost, M. R. Kuehn, and L. Brunelli. Isolation of rare recombinants without using selectable markers for one-step seamless BAC mutagenesis. Nature Methods 11 966-970 (2014).

S. M. Carroll and P. C. Bressloff. Binocular rivalry waves in directionally selective neural field models. Physica D 285 8-17 (2014).

P. C. Bressloff. Stochastic Processes in Cell Biology. Interdisciplinary Applied Mathematics: Springer (685 pp.) (2014).

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 (2014).

P. C. Bressloff. Waves in Neural Media: From single cells to Neural Fields Springer (450 pp.) (2014).

J. M. Newby, P. C. Bressloff and J. P. Keeener. 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).

P. C. Bressloff and S. Coombes. Neural bubble dynamics revisited Cogn. Comput. 5 281-294 (2013).

P. C. Bressloff and Yi Ming Lai. Dispersal and noise: Various modes of synchrony in ecological oscillators. J. Math. Bio. 67 1669-1690(2013).

P. C. Bressloff. Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. J. Math. Bio. 66 1499-1525 (2013).

F. Fernandez, P. Malerba, P. C. Bressloff and J. White. Enthorinal stellate cells show preferred spike phase-locking to thet inputs that is enhanced by correlations in synaptic activity J. Neurosci. 33 6027-6040 (2013).

M. A. Webber and P. C. Bressloff. The effects of noise on binocular rivalry waves: a stochastic neural field model J. Stat. Mech. 3 P03001 (2013).

P. C. Bressloff and J. M. Newby. Stochastic models of intracellular transport Rev. Mod. Phys. 85 135-196 (2013).

P. C. Bressloff and J. Wilkerson. Traveling pulses in a stochastic neural field model of direction selectivity Front. Comput. Neurosci. 6 90 (14 p.) (2012).

P. C. Bressloff. Two-pool model of cooperative vesicular transport. Phys. Rev. E 86 031911 (2012).

M. Galtier, O. Faugeras and P. C. Bressloff. Hebbian learning of recurrent connections: a geometrical perspective. Neural Comput. 24 2346-2383 (2012).

P. C. Bressloff and M. A. Webber. Front Propagation in stochastic neural fields. SIAM J. Appl. Dyn. Syst. 11 708-740(2012).

P. C. Bressloff and M. A. Webber. Neural field model of binocular rivalry waves. J. Comput. Neurosci. 32 233-252 (2012).

P. C. Bressloff. From invasion to extinction in heterogeneous neural fields J. Math. Neurosci. 2 6 (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 (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 (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 (2012).

P. C. Bressloff. Spatiotemporal dynamics of continuum neural fields: Invited Topical review. J. Phys. A 45 033001 (109pp.) (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 (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 (2011).

P. C. Bressloff and Y-M Lai. Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. J. Math. Neurosci. 1 2 (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 (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 (2010).

P. C. Bressloff. Metastable states and quasicycles in a stochastic Wilson-Cowan model of neural population dynamics. Phys. Rev. E 82 051903 (2010).

P. C. Bressloff and A. M. Oster. A theory for the alignment of cortical feature maps during development. Phys. Rev. E 82 021920 (2010).

J. Newby and P. C. Bressloff. Local synaptic signalling enhances the stochastic transport of motor-driven cargo in neurons. Phys. Biol. 7 036004 (2010).

J. Newby and P. C. Bressloff. Random intermittent search and the tug-of-war model of motor-driven transport. J. Stat. Mech. P04014 (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 (2010).

Z. P. Kilpatrick and P. C. Bressloff. Spatially structured oscillations in a 2D excitatory neuronal network with synaptic depression. J. Comput. Neurosci. 239 1048-1060 (2010).

Z. P. Kilpatrick and P. C. Bressloff. Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Physica D 239 1048-1060 (2010).

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 (2010).

B. A. Earnshaw and P. C. Bressloff. Diffusion-activation model of CaMKII translocation waves in dendrites. J. Comput. Neurosci. 28 77-89 (2010).

P. C. Bressloff. Stochastic neural field theory and the system-size expansion. SIAM J. Appl. Math 70 1488-1521 (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, 2009).

J. Newby and P. C. Bressloff. Directed intermittent search for a hidden target on a dendritic tree. Phys. Rev. E 80 021913 (2009).

P. C. Bressloff. Cable theory of protein receptor trafficking in a dendritic tree. 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 and J. Newby. Directed intermittent search for hidden targets. New J. Phys. 11 023033 (2009).

P. C. Bressloff and Z. P. Kilpatrick. Nonlocal Ginzburg Landau equation for cortical dynamics. Phys. Rev. E 78 041916 (2008).

W. H. Nesse, C. A. DelNegro and P. C. Bressloff. Oscillation regularity in noise-driven excitable systems with multi-timescale adaptation. Phys. Rev. Lett. 101 088101 (2008).

W. H. Nesse, A. Borisyuk and P. C. Bressloff. Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation. J. Comput. Neurosci. 25 317-333 (2008).

B. A. Earnshaw and P. C. Bressloff. Modeling the role of lateral membrane diffusion on AMPA receptor trafficking along a spiny dendrite. J. Comput. Neurosci. 25 366-389 (2008).

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).

Z. P. Kilpatrick, S. E. Folias and P. C. Bressloff. Traveling pulses and wave propagation failure in an inhomogeneous neural network. SIAM J. Appl. Dyn. Syst. 7 161-185 (2008).

J. Icheda, L. Schwabe, P. C. Bressloff and A. Angelucci. Response facilitation from the ``suppressive'' surround of V1 neurons. J. Neurophysiol. 98 2168-2181 (2007).

P. C. Bressloff. Stimulus-induced activity bumps in two-dimensional neural field theory. In: Fluids and Waves - Recent Trends in Applied Analysis. AMS Contemorary Mathematics 440 91-114 (2007).

W. Nesse, G. Clark and P. C. Bressloff. Spike patterning of a stochastic phase model neuron given periodic inhibition. Phys. Rev. E 75: 031912 (2007)

P. C. Bressloff and B. A. Earnshaw. Diffusion-trapping model of receptor trafficking in dendrites. Phys. Rev. E 75: 041916 (2007)

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).

L. Schwabe, K. Obermayer, A. Angelucci and P. C. Bressloff. The role of feedback in shaping the extra-classical receptive field of cortical neurons: a recurrent network model J. Neurosci. 26 9117-9129 (2006).

A. Angelucci and P. C. Bressloff. The contribution of feedforward, lateral and feedback connections to the classical receptive field center and extra-classical receptive field surround of primate V1 neurons Prog. Brain Res. 154 93-121 (2006).

P. C. Bressloff, A stochastic model of intraflagellar transport Phys. Rev. E 73 061916 (2006).

P. C. Bressloff, A stochastic model of protein receptor trafficking prior to synaptogenesis Phys. Rev. E 74 031910 (2006).

A. M. Oster and P. C. Bressloff, A developmental model of ocular dominance formation on a growing cortex Bull. Math. Biol. 68 73-98 (2006).

P. C. Bressloff and S. Coombes (editors). Special issue on neural development. IMA J. Math Med. Biol. 23 77-78 (2006).

S. Coombes and P. C. Bressloff (editors). Bursting: The Genesis of Rhythm in the Nervous System. World Scientific Press (2005).

S. E. Folias and P. C. Bressloff, Breathers in two-dimensional excitable neural media. Phys. Rev. Lett. 95: 208107(2005).

P. C. Bressloff, Spontaneous symmetry breaking in self-organizing neural fields. Biol. Cybern. 93: 256-274 (2005).

P. C. Bressloff, Weakly-interacting pulses in synaptically coupled neural media. SIAM J. Appl. Math. 66: 57-81 (2005).

S. E. Folias and P. C. Bressloff, Stimulus-locked waves and breathers in an excitatory neural network.SIAM J. Appl. Math 65:2067-2092 (2005).

A. Prat, Y-X Li and P. C. Bressloff, Inhomogeneity-induced bifurcation of stationary and oscillatory pulses. Physica D 202: 177-199 (2005).

P. C. Bressloff, Pattern formation in visual cortex. Les Houches Lectures in Neurophysics (2005).

S. E. Folias and P. C. Bressloff, Breathing pulses in an excitatory neural network. SIAM J. Appl. Dyn. Syst. 3,: 378-407(2004).

P. C. Bressloff and S. E. Folias, Front bifurcations in an excitatory neural network. SIAM J. Appl. Math. 65: 131-151 (2004).

P. C. Bressloff, Euclidean shift-twist symmetry in population models of self-aligning objects. SIAM J. Appl. Math. 64:1668-1690 (2004).

P. C. Bressloff, S. E. Folias, A. Pratt and Y-X Li, Oscillatory waves in inhomogeneous neural media. Phys. Rev. Lett. 91:178101 (2003).

S. Coombes and P. C. Bressloff, Saltatory waves in the spike-diffuse-spike model of active dendrites. Phys. Rev. Lett. 91:028102 (2003).

M. James, S. Coombes and P. C. Bressloff, Effects of quasiactive membrane on multiply periodic traveling waves in integrate-and-fire systems. Phys. Rev. E 67:051905 (2003).

P. C. Bressloff, Spatially periodic modulation of cortical patterns by long-range horizontal connections. Physica D 185:131-157 (2003).

P. C. Bressloff and J. D. Cowan, The functional geometry of local and long-range connections in a model of V1. J. Physiol. (Paris) (2003).

P. C. Bressloff and J. D. Cowan, Spherical model of orientation and spatial frequency tuning in a cortical hypercolumn. Phil. Trans. Roy. Soc. B 358:1643-1667 (2003).

J. S. Lund, A. Angelucci and P. C. Bressloff, Anatomical substrates for the functional column in macaque primary visual cortex. Cerebral Cortex 12:15-24 (2003).

E. Haskell and P. C. Bressloff, On the formation of persistent states in neuronal networks models of feature selectivity. J. Integ. Neurosci.. 2:103-123 (2003).

P. C. Bressloff and S. Coombes, Synchronization of synaptically-coupled neural oscillators. In: Epilepsy as a dynamic disease, J.Milton and P. Jung editors, chapter 7 (Springer-Verlag 2003).

P. C. Bressloff and J. D. Cowan, Pattern Formation, Neural. In: Handbook of brain theory and neural networks (2nd edition) M. Arbib editor (MIT Press, 2003).

P. C. Bressloff and J. D. Cowan, The visual cortex as a crystal. Physica D 173 :226-258 (2002). pdf

P. C. Bressloff, Bloch waves, periodic feature maps and cortical pattern formation. Phys. Rev. Lett. 89 : 088101 (2002).

J. D. Cowan and P. C. Bressloff, Visual cortex and the retinex algorithm. Proc. SPIE 4622 278-285 (2002).

P. C. Bressloff and J. D. Cowan, SO(3) symmetry breaking mechanism for orientation and spatial frequency tuning in visual cortex. Phys. Rev. Lett. 88 : 078102 (2002).

P. C. Bressloff and J. D. Cowan, An amplitude equation approach to contextual effects in primary visual cortex. Neural Comput. 14 :493-525 (2002).

P. C. Bressloff, J. D. Cowan, M. Golubitsky, P. J. Thomas and M. Wiener, What geometric visual hallucinations tell us about the visual cortex Neural Comput. 14 : 473-491 (2002).

P. C. Bressloff and J. D. Cowan, Spontaneous pattern formation in primary visual cortex In: Nonlinear dynamics: where do we go from here? S. J. Hogan, A. Champneys and B. Krauskopf editors, chapter 11 (Institute of Physics: Bristol, 2002).

P. C. Bressloff, J. D. Cowan, M. Golubitsky, P. J. Thomas and M. Wiener, Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex Phil. Trans. Roy. Soc. B 40 :299-330 (2001).

P. C. Bressloff, J. D. Cowan, M. Golubitsky and P. J. Thomas, Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex. Nonlinearity 14 :739-775 (2001).

P. C. Bressloff, Traveling fronts and wave propagation failure in an inhomogeneous neural network Physica D 155 :83-100 (2001).

P. C. Bressloff and S. Coombes, Mathematical reduction techniques for modeling biophysical neural networks. In: Biophysical Neural networks: Foundations of analytical neuroscience R. R. Poznanski editor pp. 215-269. (Mary Ann Liebert, Inc., New York 2001).

P. C. Bressloff, Traveling waves and pulses in a one-dimensional network of integrate-and-fire neurons. J. Math. Biol. 40 :169-183 (2000).

P. C. Bressloff and S. Coombes, Dynamical theory of spike train dynamics in networks of integrate-and-fire oscillators. SIAM J. Appl. Math. 60:828-841 (2000).

S. Coombes and P. C. Bressloff, Solitary waves in a model of dendritic cable with active spines. SIAM J. Appl. Math. 61:432-453 (2000).

P. C. Bressloff and S. Coombes, Dynamics of strongly coupled spiking neurons. Neural Comput. 12 :91-129 (2000).

P. N. Roper, P. C. Bressloff and A. Longtin, A temperature-dependent phase model of mammalian cold receptors. Neural Comput. 12 :1067-1093 (2000).

P. C. Bressloff, N. W. Bressloff and J. D. Cowan, Dynamical mechanism for sharp orientation tuning in an integrate-and-fire model of cortical hypercolumns. Neural Comput. 12:2473-2511 (2000).

P. C. Bressloff, Synaptically generated wave propagation in excitable neural media. Phys. Rev. Lett. 82:2979-2982 (1999).

P. C. Bressloff and S. Coombes, Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Physica D 126 :99-122 (1999).

P. C. Bressloff and S. Coombes, Travelling waves in a chain of pulse-coupled integrate-and-fire oscillators with distributed delays. Physica D 130:232-254 (1999).

P. C. Bressloff, Resonant-like synchronization and bursting in a model of pulse-coupled neurons with active dendrites. J. Comput. Neurosci. 6 :237-249 (1999).

P. C. Bressloff, Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses. Phys. Rev. E 60:2180-2190 (1999).

S. Coombes and P. C. Bressloff, Mode-locking and Arnold tongues in integrate-and-fire neural oscillators. Phys. Rev. E 60:2086-2096 (1999).

P. C. Bressloff and A. Fokas, A new spectral transform for solving the continuous and spatially discrete heat equations on simple trees. In: Symmetries and Integrability of Difference equations (edited by P. Clarkson and F. Nijhoff) Ch. 9 :215-269. (Cambridge University Press, Cambridge 1999).

P. C. Bressloff and S. Coombes, Travelling waves in chain of pulse-coupled oscillators. Phys. Rev. Lett. 80:4815-4818 (1998).

P. C. Bressloff and S. Coombes, Desynchronization, mode-locking and bursting in strongly-coupled integrate-and-fire oscillators. Phys. Rev. Lett. 81:2168-2171 (1998).

P. C. Bressloff and S. Coombes, Spike train dynamics underlying pattern formation in an integrate-and-fire oscillator network. Phys. Rev. Lett. 81:2384-2387 (1998).

P. C. Bressloff and B. De Souza, Neural pattern formation in a network with dendritic structure. Physica D 115 :124-144 (1998).

P. C. Bressloff and C. V. Wood, Spontaneous oscillations in a nonlinear delayed-feedback shunting model of the pupil light reflex. Phys. Rev. E 58:3597-3606 (1998).

P. C. Bressloff and P. N. Roper, Stochastic dynamics of the diffusive Haken model with subthreshold periodic forcing network. Phys. Rev. E 58:2282-2287 (1998).

P. C. Bressloff and S. Coombes, Synchrony in an array of integrate-and-fire neurons with dendritic structure. Phys. Rev. Lett. 78:4665-4668 (1997).

P. C. Bressloff, S. Coombes and B. De Souza, Dynamics of a ring of pulse-coupled oscillators: Group theoretic approach. Phys. Rev. Lett. 79:2791-2794 (1997).

P. C. Bressloff and G. Rowlands, Exact travelling wave solutions of an "integrable" discrete reaction-diffusion equation. Physica D 106:255-269 (1997).

P. C. Bressloff, A self-organizing network in the weak coupling limit. Physica D 110:195-208 (1997).

P. C. Bressloff, A new Green's function method for solving linear PDE's in two variables. J. Math. Anal. Appl. 210:390-415 (1997).

P. C. Bressloff and S. Coombes, Physics of the extended neuron. Int. J. Mod. Phys. B 11:2343-2393 (1997).

P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Burgers' equation on a branching structure. Phys. Lett. A 229:37-43 (1997).

P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Classical diffusion and percolation in random environments on trees. Phys. Rev. E 55:6765-6775 (1997).

M. J. Kearney, V. M. Dwyer and P. C. Bressloff, On the convergence of a class of random geometric series with application to random walks and percolation theory J. Phys. A 30:L409-414 (1997).

P. C. Bressloff, New mechanism for neural pattern formation. Phys. Rev. Lett. 76 :4644-4647 (1996).

P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Localization-delocalization transition for drift-diffusion in a random environment. Phys. Rev. Lett. 77:5075-5078 (1996).

P. C. Bressloff, C. V. Wood and P. A. Howarth, Nonlinear shunting model of the pupil light reflex. Proc. Roy. Soc. B 263:953-960 (1996).

P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Sum-over-paths approach to diffusion on trees. J. Phys. A. 29:1881-1896 (1996).

P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Classical localization for the drift-diffusion equation on a Cayley tree. J. Phys. A. 29:6161-6168 (1996).

V. M. Dwyer, M. J. Kearney and P. C. Bressloff, An integral equation approach to electromigration under arbitrary time-dependent stress. J. Appl. Phys. 80:3792-3797 (1996).

P. C. Bressloff, Neural networks, lattice instantons and the anti-integrable limit. Phys. Rev. Lett. 75:962-965 (1995).

P. C. Bressloff, Dynamics of a compartmental integrate-and-fire neuron without dendritic potential reset. Physica D 80 : 399-412 (1995)

P. C. Bressloff, Stochastic dynamics of reinforcement learning. Network 6:289-307 (1995).

P. C. Bressloff, Average firing-rate of a model neural network with dynamical disorder. J. Phys A 28:2457-2469 (1995).

P. C. Bressloff, Spatio-temporal processing in neural networks with random synaptic background activity. Phys. Rev. E 51:5064-5073 (1995).

P. C. Bressloff, Integro-differential equations and the stability of neural networks with dendritic structure. Biol. Cybern. 73:281-290 (1995).

P. C. Bressloff, Dynamics of a compartmental model recurrent neural network. Phys. Rev. E 50:2308-2319 (1994).

P. C. Bressloff, Greens function approach to analysing the effects of random synaptic background activity. J. Phys. A 27:4097-4113 (1994).

P. C. Bressloff. Learning temporal sequences in local feedback neural networks Int. J. Neural Systems 5:49-58 (1994).

P. C. Bressloff and J. G. Taylor, Dynamics of compartmental model neurons. Neural Networks 7:1153-1165 (1994).

J. Stark and P. C. Bressloff. Iterated function systems and their applications. In: Wavelets, Fractals and Fourier Transforms M. Farge, J. C. R. Hunt, and J. C. Vassilicos editors, (Oxford University Press, 1993).

P. C. Bressloff, Temporal processing in neural networks with adaptive short term memory. Network 4:155-175 (1993).

P. C. Bressloff and J. G. Taylor. Spatio-temporal processing in a compartmental model of a neuron. Phys. Rev. E 47 :2899-2912 (1993).

P. C. Bressloff and J. G. Taylor. Low firing rates in a compartmental model neuron. J. Phys. A 26 :L165-170 (1993).

P. C. Bressloff and J. G. Taylor, Compartmental response function for dendritic trees. Biol. Cybern. 69:199-207 (1993).

J. G. Taylor, P. C. Bressloff and A. Restuccia. Finite superstrings (World Scientific 1992).

P. C. Bressloff and J. G. Taylor. Perceptron-like learning in time-summating neural networks J. Phys. A 25:4373-4388 (1992).

P. C. Bressloff and J. G. Taylor. Temporal sequence storage capacity of time-summating neural networks. J. Phys. A 25:833-842 (1992).

P. C. Bressloff and J. Stark, Analysis of associative reinforcement learning using iterated function systems. IEEE Trans, Syst. Man and Cybern 2:1348-1360 (1992).

P. C. Bressloff, Analysis of quantal synaptic noise in neural networks using iterated function systems. Phys. Rev. A 45:7549-7559 (1992).

P. C. Bressloff and J. Stark, Neural networks, learning automata and iterated function systems. In: Fractals and Chaos A. J. Crilly, R. A. Earnshaw, and H. Jones editors., pp. 145-164 (Springer-Verlag, 1991).

P. C. Bressloff, Stochastic dynamics of time-summating binary neural networks. Phys. Rev. A 44:4005-4016 (1991).

P. C. Bressloff and J. G. Taylor, Discrete-time leaky-integrator networks with synaptic noise. Neural Networks 4:789-801 (1991).

P. C. Bressloff and J. Stark, Neuronal dynamics based on discontinuous circle maps. Phys. Lett. A 150:87-195 (1990).

J. Stark and P. C. Bressloff, Two-state representations of three-state neural networks. J. Phys. A 23:1633-1644 (1990).

P. C. Bressloff and J. G. Taylor. Random iterative networks. Phys. Rev. A 41 :1126-1137 (1990).

P. C. Bressloff, J. G. Taylor and A. Restuccia, Chiral partition functions using light-cone gauge techniques. Class. Quantum Gravity. 7:685-697 (1990).

P. C. Bressloff, J. G. Taylor and M. Nouri-Moghadam, On the BFV quantization of the relativistic particle. Class. Quantum Gravity. 6:589-603 (1989).

P. C. Bressloff, J. G. Taylor and A. Restuccia, A functional light-cone gauge construction of a bosonic string compactified on a torus. Int. J. Mod. Phys. A 3:451-486 (1988).

A. Restuccia, P. C. Bressloff and J. G. Taylor, A functional light-cone gauge construction of heterotic string amplitudes. Phys. Lett. B 190 :69-75 (1987).