Paul C. Bressloff

发表

Stochastic Hybrid Systems in Cellular Neuroscience

Paul C. Bressloff, James N. Maclaurin, P. Bressloff, 2018, The Journal of Mathematical Neuroscience.

Two-Dimensional Bumps in Piecewise Smooth Neural Fields with Synaptic Depression

Paul C. Bressloff, Zachary P. Kilpatrick, 2011, SIAM J. Appl. Math..

A Mechanism for Turing Pattern Formation with Active and Passive Transport

Paul C. Bressloff, Heather A. Brooks, P. Bressloff, 2016, SIAM J. Appl. Dyn. Syst..

Stochastic Resonance and Bursting in a Binary-Threshold Neuron with Intrinsic Noise

Paul C. Bressloff, Peter Roper, P. Bressloff, 2000, Information Theory and the Brain.

Dynamics of compartmental model neurons

John G. Taylor, Paul C. Bressloff, P. Bressloff, 1994, Neural Networks.

A Variational Method for Analyzing Stochastic Limit Cycle Oscillators

Paul C. Bressloff, James MacLaurin, P. Bressloff, 2017, SIAM J. Appl. Dyn. Syst..

Neural ‘Bubble’ Dynamics Revisited

Stephen Coombes, Paul C. Bressloff, P. Bressloff, 2013, Cognitive Computation.

Direct vs. Synaptic Coupling in a Mathematical Model of Cytoneme-Based Morphogen Gradient Formation

Paul C. Bressloff, Hyunjoong Kim, P. Bressloff, 2018, SIAM J. Appl. Math..

Stochastic Neural Field Theory

Paul C. Bressloff, P. Bressloff, 2014, Encyclopedia of Computational Neuroscience.

Travelling waves in a circular array of integrate–and–fire neurons

Stephen Coombes, Paul C. Bressloff, 2008 .

Single Neuron Modeling

Paul C. Bressloff, P. Bressloff, 2014 .

Analysis of associative reinforcement learning in neural networks using iterated function systems

Paul C. Bressloff, Jaroslav Stark, P. Bressloff, 1992, IEEE Trans. Syst. Man Cybern..

Weakly Interacting Pulses in Synaptically Coupled Neural Media

Paul C. Bressloff, 2005, SIAM J. Appl. Math..

Stimulus-Locked Traveling Waves and Breathers in an Excitatory Neural Network

Paul C. Bressloff, Stefanos E. Folias, P. Bressloff, 2005, SIAM J. Appl. Math..

Hebbian Learning of Recurrent Connections: A Geometrical Perspective

Olivier D. Faugeras, Paul C. Bressloff, Mathieu Galtier, 2012, Neural Computation.

Laminar Neural Field Model of Laterally Propagating Waves of Orientation Selectivity

Paul C. Bressloff, Samuel R. Carroll, P. Bressloff, 2015, PLoS Comput. Biol..

Symmetric Bifurcations in a Neural Field Model for Encoding the Direction of Spatial Contrast Gradients

Paul C. Bressloff, Samuel R. Carroll, P. Bressloff, 2018, SIAM J. Appl. Dyn. Syst..

Metastability in a Stochastic Neural Network Modeled as a Velocity Jump Markov Process

Paul C. Bressloff, Jay M. Newby, P. Bressloff, 2013, SIAM J. Appl. Dyn. Syst..

Escape from Subcellular Domains with Randomly Switching Boundaries

Paul C. Bressloff, Sean D. Lawley, P. Bressloff, 2015, Multiscale Model. Simul..

A PDE-DDE Model for Cell Polarization in Fission Yeast

Bin Xu, Paul C. Bressloff, P. Bressloff, 2016, SIAM J. Appl. Math..

Resonantlike Synchronization and Bursting in a Model of Pulse-Coupled Neurons with Active Dendrites

Paul C. Bressloff, P. Bressloff, 1999, Journal of Computational Neuroscience.

Target competition for resources under diffusive search-and-capture

Paul C. Bressloff, P. Bressloff, 2020, 2008.06748.

Modeling the role of lateral membrane diffusion in AMPA receptor trafficking along a spiny dendrite

Paul C. Bressloff, Berton A. Earnshaw, P. Bressloff, 2008, Journal of Computational Neuroscience.

Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation

Alla Borisyuk, Paul C. Bressloff, William H. Nesse, 2008, Journal of Computational Neuroscience.

Population Models and Neural Fields

Paul C. Bressloff, P. Bressloff, 2014 .

Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression

Paul C. Bressloff, Zachary P. Kilpatrick, P. Bressloff, 2009, Journal of Computational Neuroscience.

Diffusion of Protein Receptors on a Cylindrical Dendritic Membrane with Partially Absorbing Traps

Paul C. Bressloff, Michael J. Ward, Berton A. Earnshaw, 2008, SIAM J. Appl. Math..

A Dynamical Theory of Spike Train Transitions in Networks of Integrate-and-Fire Oscillators

Stephen Coombes, Paul C. Bressloff, P. Bressloff, 2000, SIAM J. Appl. Math..

Spatiotemporal Dynamics of Neural Fields on Product Spaces

Paul C. Bressloff, Samuel R. Carroll, P. Bressloff, 2014, SIAM J. Appl. Dyn. Syst..

Traveling pulses in a stochastic neural field model of direction selectivity

Paul C. Bressloff, Jeremy Wilkerson, P. Bressloff, 2012, Front. Comput. Neurosci..

Visual cortex and the Retinex algorithm

Paul C. Bressloff, Jack D. Cowan, 2002, IS&T/SPIE Electronic Imaging.

Modeling active cellular transport as a directed search process with stochastic resetting and delays

Paul C. Bressloff, P. Bressloff, 2020, Journal of Physics A: Mathematical and Theoretical.

Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields

Paul C. Bressloff, Zachary P. Kilpatrick, 2015, SIAM J. Appl. Dyn. Syst..

Breathing Pulses in an Excitatory Neural Network

Paul C. Bressloff, Stefanos E. Folias, P. Bressloff, 2004, SIAM J. Appl. Dyn. Syst..

Doubly Stochastic Poisson Model of Flagellar Length Control

Paul C. Bressloff, Bhargav R. Karamched, P. Bressloff, 2018, SIAM J. Appl. Math..

Integro-differential equations and the stability of neural networks with dendritic structure

Paul C. Bressloff, P. Bressloff, 1995, Biological Cybernetics.

Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation

Alla Borisyuk, Paul C. Bressloff, William H. Nesse, 2008, Journal of Computational Neuroscience.

Neural Networks Using Iterated Function Systems

Paul C. Bressloff, Jaroslav Stark, P. Bressloff, 1992 .

An Amplitude Equation Approach to Contextual Effects in Visual Cortex

Paul C. Bressloff, Jack D. Cowan, J. Cowan, 2002, Neural Computation.

Discrete time leaky integrator network with synaptic noise

John G. Taylor, Paul C. Bressloff, P. Bressloff, 1991, Neural Networks.

A Phase Model of Temperature-Dependent Mammalian Cold Receptors

Paul C. Bressloff, André Longtin, Peter Roper, 2000, Neural Computation.

Binocular Rivalry in a Competitive Neural Network with Synaptic Depression

Paul C. Bressloff, Zachary P. Kilpatrick, P. Bressloff, 2010, SIAM J. Appl. Dyn. Syst..

Traveling Pulses and Wave Propagation Failure in Inhomogeneous Neural Media

Paul C. Bressloff, Zachary P. Kilpatrick, Stefanos E. Folias, 2008, SIAM J. Appl. Dyn. Syst..

Solitary Waves in a Model of Dendritic Cable with Active Spines

Stephen Coombes, Paul C. Bressloff, P. Bressloff, 2000, SIAM J. Appl. Math..

Front Bifurcations in an Excitatory Neural Network

Paul C. Bressloff, Stefanos E. Folias, P. Bressloff, 2004, SIAM J. Appl. Math..

Spontaneous symmetry breaking in self–organizing neural fields

Paul C. Bressloff, P. Bressloff, 2005, Biological Cybernetics.

Directed intermittent search with stochastic resetting

Paul C. Bressloff, P. Bressloff, 2020, Journal of Physics A: Mathematical and Theoretical.

Euclidean Shift-Twist Symmetry in Population Models of Self-Aligning Objects

Paul C. Bressloff, P. Bressloff, 2004, SIAM J. Appl. Math..

Dynamical Mechanism for Sharp Orientation Tuning in an Integrate-and-Fire Model of a Cortical Hypercolumn

Paul C. Bressloff, Jack D. Cowan, N. W. Bressloff, 2000, Neural Computation.

Dynamically Active Compartments Coupled by a Stochastically Gated Gap Junction

Paul C. Bressloff, Sean D. Lawley, P. Bressloff, 2017, J. Nonlinear Sci..

Neural field model of binocular rivalry waves

Paul C. Bressloff, Matthew A. Webber, P. Bressloff, 2012, Journal of Computational Neuroscience.

Compartmental-model response function for dendritic trees

John G. Taylor, Paul C. Bressloff, P. Bressloff, 1993, Biological Cybernetics.

Coupling sample paths to the thermodynamic limit in Monte Carlo estimators with applications to gene expression

Paul C. Bressloff, Ethan Levien, 2017, J. Comput. Phys..

Front Propagation in Stochastic Neural Fields

Paul C. Bressloff, Matthew A. Webber, P. Bressloff, 2012, SIAM J. Appl. Dyn. Syst..

A frequency-dependent decoding mechanism for axonal length sensing

Paul C. Bressloff, Bhargav R. Karamched, 2015, Front. Cell. Neurosci..

Learning Temporal Sequences from Examples in a Local Feedback Neural Network

Paul C. Bressloff, 1994, Int. J. Neural Syst..

A diffusion-activation model of CaMKII translocation waves in dendrites

Paul C. Bressloff, Berton A. Earnshaw, P. Bressloff, 2010, Journal of Computational Neuroscience.

Dynamics of Strongly Coupled Spiking Neurons

Stephen Coombes, Paul C. Bressloff, P. Bressloff, 2000, Neural Computation.

Robustness of Stochastic Chemical Reaction Networks to Extrinsic Noise: The Role of Deficiency

Paul C. Bressloff, Ethan Levien, P. Bressloff, 2018, Multiscale Model. Simul..

Stochastic Neural Field Theory and the System-Size Expansion

Paul C. Bressloff, P. Bressloff, 2009, SIAM J. Appl. Math..

Stochastic Active-Transport Model of Cell Polarization

Bin Xu, Paul C. Bressloff, P. Bressloff, 2015, SIAM J. Appl. Math..

Phase Equation for Patterns of Orientation Selectivity in a Neural Field Model of Visual Cortex

Paul C. Bressloff, Samuel R. Carroll, 2016, SIAM J. Appl. Dyn. Syst..

Phase Reduction of Stochastic Biochemical Oscillators

Paul C. Bressloff, James N. MacLaurin, P. Bressloff, 2018, SIAM J. Appl. Dyn. Syst..

Integro-differential equations in compartmental model neurodynamics

Paul C. Bressloff, 1997 .

Diffusion in Cells with Stochastically Gated Gap Junctions

Paul C. Bressloff, P. Bressloff, 2016, SIAM J. Appl. Math..

The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting

Paul C. Bressloff, Ryan D. Schumm, P. Bressloff, 2021, Multiscale Model. Simul..

First-passage processes and the target-based accumulation of resources.

Paul C. Bressloff, P. Bressloff, 2020, Physical review. E.

Average firing-rate of a compartmental model network with randomly distributed synaptic background activity.

Paul C. Bressloff, 2021 .

Stochastic dynamics of reinforcement learning

Paul C. Bressloff, P. Bressloff, 1995 .

Exact travelling wave solutions of an “integrable” discrete reaction-diffusion equation

Paul C. Bressloff, George Rowlands, P. Bressloff, 1997 .

Stability of bumps in piecewise smooth neural fields with nonlinear adaptation

Paul C. Bressloff, Zachary P. Kilpatrick, 2010 .

Neuronal dynamics based on discontinuous circle maps

Paul C. Bressloff, P. Bressloff, J. Stark, 1990 .

Dynamics of a compartmental model integrate-and-fire neuron with somatic potential reset

Paul C. Bressloff, 1995 .

Temporal sequence storage capacity of time-summating neural networks

Paul C. Bressloff, John G. Taylor, 1992 .

Complex dynamics of a discrete time model of a neuron

Paul C. Bressloff, P. Bressloff, 1992 .

Stochastic dynamics of the diffusive Haken model with subthreshold periodic forcing

Paul C. Bressloff, Peter Roper, P. Bressloff, 1998 .

Spontaneous oscillations in a nonlinear delayed-feedback shunting model of the pupil light reflex

Paul C. Bressloff, C. V. Wood, 1998 .

Integral equations in compartmental model neurodynamics

Paul C. Bressloff, P. Bressloff, 1994 .

Moment equations for a piecewise deterministic PDE

Paul C. Bressloff, Sean D. Lawley, P. Bressloff, 2015 .

Temporal processing in neural networks with adaptive short term memory: a compartmental model approach

Paul C. Bressloff, P. Bressloff, 1993 .

Stochastic switching in biology: from genotype to phenotype

Paul C. Bressloff, P. Bressloff, 2017 .

Low firing-rates in a compartmental model neuron

Paul C. Bressloff, P. Bressloff, John G. Taylor, 1993 .

Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex

Martin Golubitsky, Paul C. Bressloff, Jack D. Cowan, 2001 .

Perceptron-like learning in time-summating neural networks

Paul C. Bressloff, P. Bressloff, John G. Taylor, 1992 .

Stochastic Processes in Cell Biology

Paul C. Bressloff, P. Bressloff, 2014, Interdisciplinary Applied Mathematics.

Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays

Stephen Coombes, Paul C. Bressloff, P. Bressloff, 1999 .

Neural networks, learning automata and iterated function systems

Paul C. Bressloff, P. Bressloff, J. Stark, 1991 .

Spontaneous pattern formation in primary visual cortex

Paul C. Bressloff, Jack D. Cowan, J. Cowan, 2002 .

Calcium Waves and Sparks

Paul C. Bressloff, P. Bressloff, 2014 .

Course 11 Pattern formation in visual cortex

Paul C. Bressloff, P. Bressloff, 2005 .

Synchrony in an array of integrate-and-fire neurons with dendritic structure

Stephen Coombes, Paul C. Bressloff, P. Bressloff, 1997 .

A Green's function approach to analysing the effects of random synaptic background activity in a model neural network

Paul C. Bressloff, P. Bressloff, 1994 .

Average firing rate of a neural network with dynamical disorder

Paul C. Bressloff, P. Bressloff, 1995 .

Path-Integral Methods for Analyzing the Effects of Fluctuations in Stochastic Hybrid Neural Networks

Paul C. Bressloff, P. Bressloff, 2015, The Journal of Mathematical Neuroscience (JMN).

A self-organizing network in the weak-coupling limit

Paul C. Bressloff, P. Bressloff, 1997 .

Directed intermittent search for hidden targets

Paul C. Bressloff, Jay M. Newby, P. Bressloff, 2009 .

A `sum-over-paths' approach to diffusion on trees

Paul C. Bressloff, Michael J. Kearney, Vincent M. Dwyer, 1996 .