Paul C. Bressloff

Orcid: 0000-0002-7714-9853

According to our database1, Paul C. Bressloff authored at least 67 papers between 1991 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.



In proceedings 
PhD thesis 




A numerical method for solving snapping out Brownian motion in 2D bounded domains.
J. Comput. Phys., November, 2023

The 3D Narrow Capture Problem for Traps with Semipermeable Interfaces.
Multiscale Model. Simul., September, 2023

Renewal Equations for Single-Particle Diffusion in Multilayered Media.
SIAM J. Appl. Math., August, 2023

Accumulation Time of Diffusion in a 3D Singularly Perturbed Domain.
SIAM J. Appl. Math., April, 2023

The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting.
Multiscale Model. Simul., March, 2022

Directional Search-and-Capture Model of Cytoneme-Based Morphogenesis.
SIAM J. Appl. Math., 2021

Asymptotic Analysis of Target Fluxes in the Three-Dimensional Narrow Capture Problem.
Multiscale Model. Simul., 2021

Effective Permeability of a Gap Junction with Age-Structured Switching.
SIAM J. Appl. Math., 2020

Phase Reduction of Stochastic Biochemical Oscillators.
SIAM J. Appl. Dyn. Syst., 2020

Interaction Between Switching Diffusivities and Cellular Microstructure.
Multiscale Model. Simul., 2020

Node-to-Node and Node-to-Medium Synchronization in Quorum Sensing Networks Affected by State-Dependent Noise.
SIAM J. Appl. Dyn. Syst., 2019

Stochastic neural field model of stimulus-dependent variability in cortical neurons.
PLoS Comput. Biol., 2019

Direct vs. Synaptic Coupling in a Mathematical Model of Cytoneme-Based Morphogen Gradient Formation.
SIAM J. Appl. Math., 2018

Doubly Stochastic Poisson Model of Flagellar Length Control.
SIAM J. Appl. Math., 2018

Symmetric Bifurcations in a Neural Field Model for Encoding the Direction of Spatial Contrast Gradients.
SIAM J. Appl. Dyn. Syst., 2018

A Variational Method for Analyzing Stochastic Limit Cycle Oscillators.
SIAM J. Appl. Dyn. Syst., 2018

Robustness of Stochastic Chemical Reaction Networks to Extrinsic Noise: The Role of Deficiency.
Multiscale Model. Simul., 2018

Dynamically Active Compartments Coupled by a Stochastically Gated Gap Junction.
J. Nonlinear Sci., 2017

Coupling sample paths to the thermodynamic limit in Monte Carlo estimators with applications to gene expression.
J. Comput. Phys., 2017

A PDE-DDE Model for Cell Polarization in Fission Yeast.
SIAM J. Appl. Math., 2016

Diffusion in Cells with Stochastically Gated Gap Junctions.
SIAM J. Appl. Math., 2016

Phase Equation for Patterns of Orientation Selectivity in a Neural Field Model of Visual Cortex.
SIAM J. Appl. Dyn. Syst., 2016

A Mechanism for Turing Pattern Formation with Active and Passive Transport.
SIAM J. Appl. Dyn. Syst., 2016

A Stochastic Hybrid Framework for Obtaining Statistics of Many Random Walkers in a Switching Environment.
Multiscale Model. Simul., 2016

Stochastic Active-Transport Model of Cell Polarization.
SIAM J. Appl. Math., 2015

Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields.
SIAM J. Appl. Dyn. Syst., 2015

Laminar Neural Field Model of Laterally Propagating Waves of Orientation Selectivity.
PLoS Comput. Biol., 2015

Escape from Subcellular Domains with Randomly Switching Boundaries.
Multiscale Model. Simul., 2015

Stochastic Neural Field Theory.
Proceedings of the Encyclopedia of Computational Neuroscience, 2014

Spatiotemporal Dynamics of Neural Fields on Product Spaces.
SIAM J. Appl. Dyn. Syst., 2014

Metastability in a Stochastic Neural Network Modeled as a Velocity Jump Markov Process.
SIAM J. Appl. Dyn. Syst., 2013

Neural 'Bubble' Dynamics Revisited.
Cogn. Comput., 2013

Front Propagation in Stochastic Neural Fields.
SIAM J. Appl. Dyn. Syst., 2012

Hebbian Learning of Recurrent Connections: A Geometrical Perspective.
Neural Comput., 2012

Neural field model of binocular rivalry waves.
J. Comput. Neurosci., 2012

Traveling pulses in a stochastic neural field model of direction selectivity.
Frontiers Comput. Neurosci., 2012

Two-Dimensional Bumps in Piecewise Smooth Neural Fields with Synaptic Depression.
SIAM J. Appl. Math., 2011

Binocular Rivalry in a Competitive Neural Network with Synaptic Depression.
SIAM J. Appl. Dyn. Syst., 2010

Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression.
J. Comput. Neurosci., 2010

A diffusion-activation model of CaMKII translocation waves in dendrites.
J. Comput. Neurosci., 2010

Stochastic Neural Field Theory and the System-Size Expansion.
SIAM J. Appl. Math., 2009

Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation.
J. Comput. Neurosci., 2009

Diffusion of Protein Receptors on a Cylindrical Dendritic Membrane with Partially Absorbing Traps.
SIAM J. Appl. Math., 2008

Traveling Pulses and Wave Propagation Failure in Inhomogeneous Neural Media.
SIAM J. Appl. Dyn. Syst., 2008

Modeling the role of lateral membrane diffusion in AMPA receptor trafficking along a spiny dendrite.
J. Comput. Neurosci., 2008

Stimulus-Locked Traveling Waves and Breathers in an Excitatory Neural Network.
SIAM J. Appl. Math., 2005

Weakly Interacting Pulses in Synaptically Coupled Neural Media.
SIAM J. Appl. Math., 2005

Spontaneous symmetry breaking in self-organizing neural fields.
Biol. Cybern., 2005

Front Bifurcations in an Excitatory Neural Network.
SIAM J. Appl. Math., 2004

Euclidean Shift-Twist Symmetry in Population Models of Self-Aligning Objects.
SIAM J. Appl. Math., 2004

Breathing Pulses in an Excitatory Neural Network.
SIAM J. Appl. Dyn. Syst., 2004

What Geometric Visual Hallucinations Tell Us about the Visual Cortex.
Neural Comput., 2002

An Amplitude Equation Approach to Contextual Effects in Visual Cortex.
Neural Comput., 2002

Visual cortex and the Retinex algorithm.
Proceedings of the Human Vision and Electronic Imaging VII, 2002

A Dynamical Theory of Spike Train Transitions in Networks of Integrate-and-Fire Oscillators.
SIAM J. Appl. Math., 2000

Solitary Waves in a Model of Dendritic Cable with Active Spines.
SIAM J. Appl. Math., 2000

A Phase Model of Temperature-Dependent Mammalian Cold Receptors.
Neural Comput., 2000

Dynamics of Strongly Coupled Spiking Neurons.
Neural Comput., 2000

Dynamical Mechanism for Sharp Orientation Tuning in an Integrate-and-Fire Model of a Cortical Hypercolumn.
Neural Comput., 2000

Stochastic Resonance and Bursting in a Binary-Threshold Neuron with Intrinsic Noise.
Proceedings of the Information Theory and the Brain, 2000

Resonantlike Synchronization and Bursting in a Model of Pulse-Coupled Neurons with Active Dendrites.
J. Comput. Neurosci., 1999

Integro-differential equations and the stability of neural networks with dendritic structure.
Biol. Cybern., 1995

Dynamics of compartmental model neurons.
Neural Networks, 1994

Learning Temporal Sequences from Examples in a Local Feedback Neural Network.
Int. J. Neural Syst., 1994

Compartmental-model response function for dendritic trees.
Biol. Cybern., 1993

Analysis of associative reinforcement learning in neural networks using iterated function systems.
IEEE Trans. Syst. Man Cybern., 1992

Discrete time leaky integrator network with synaptic noise.
Neural Networks, 1991