Paul C. Bressloff

Publication Activity (10 Years)

Years Active: 1991-2023
Publications (10 Years): 24

Top Topics

Doubly Stochastic

Spatiotemporal Features

Chemical Reaction

Top Venues

SIAM J. Appl. Math.

SIAM J. Appl. Dyn. Syst.

Multiscale Model. Simul.

J. Comput. Phys.

Publications

Paul C. Bressloff
Accumulation Time of Diffusion in a 3D Singularly Perturbed Domain. SIAM J. Appl. Math. 83 (2) (2023)
Ryan D. Schumm, Paul C. Bressloff
A numerical method for solving snapping out Brownian motion in 2D bounded domains. J. Comput. Phys. 493 (2023)
Paul C. Bressloff
Renewal Equations for Single-Particle Diffusion in Multilayered Media. SIAM J. Appl. Math. 83 (4) (2023)
Paul C. Bressloff
The 3D Narrow Capture Problem for Traps with Semipermeable Interfaces. Multiscale Model. Simul. 21 (3) (2023)
Paul C. Bressloff, Ryan D. Schumm
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting. Multiscale Model. Simul. 20 (1) (2022)
Paul C. Bressloff
Directional Search-and-Capture Model of Cytoneme-Based Morphogenesis. SIAM J. Appl. Math. 81 (3) (2021)
Paul C. Bressloff
Asymptotic Analysis of Target Fluxes in the Three-Dimensional Narrow Capture Problem. Multiscale Model. Simul. 19 (2) (2021)
Patrick Murphy, Paul C. Bressloff, Sean D. Lawley
Interaction Between Switching Diffusivities and Cellular Microstructure. Multiscale Model. Simul. 18 (2) (2020)
Paul C. Bressloff, James N. MacLaurin
Phase Reduction of Stochastic Biochemical Oscillators. SIAM J. Appl. Dyn. Syst. 19 (1) (2020)
Paul C. Bressloff, Sean D. Lawley, Patrick Murphy
Effective Permeability of a Gap Junction with Age-Structured Switching. SIAM J. Appl. Math. 80 (1) (2020)
Gaoyang Fan, Giovanni Russo, Paul C. Bressloff
Node-to-Node and Node-to-Medium Synchronization in Quorum Sensing Networks Affected by State-Dependent Noise. SIAM J. Appl. Dyn. Syst. 18 (4) (2019)
Paul C. Bressloff
Stochastic neural field model of stimulus-dependent variability in cortical neurons. PLoS Comput. Biol. 15 (3) (2019)
Samuel R. Carroll, Paul C. Bressloff
Symmetric Bifurcations in a Neural Field Model for Encoding the Direction of Spatial Contrast Gradients. SIAM J. Appl. Dyn. Syst. 17 (1) (2018)
Ethan Levien, Paul C. Bressloff
Robustness of Stochastic Chemical Reaction Networks to Extrinsic Noise: The Role of Deficiency. Multiscale Model. Simul. 16 (4) (2018)
Hyunjoong Kim, Paul C. Bressloff
Direct vs. Synaptic Coupling in a Mathematical Model of Cytoneme-Based Morphogen Gradient Formation. SIAM J. Appl. Math. 78 (5) (2018)
Paul C. Bressloff, Bhargav R. Karamched
Doubly Stochastic Poisson Model of Flagellar Length Control. SIAM J. Appl. Math. 78 (2) (2018)
Paul C. Bressloff, James MacLaurin
A Variational Method for Analyzing Stochastic Limit Cycle Oscillators. SIAM J. Appl. Dyn. Syst. 17 (3) (2018)
Ethan Levien, Paul C. Bressloff
Coupling sample paths to the thermodynamic limit in Monte Carlo estimators with applications to gene expression. J. Comput. Phys. 346 (2017)
Paul C. Bressloff, Sean D. Lawley
Dynamically Active Compartments Coupled by a Stochastically Gated Gap Junction. J. Nonlinear Sci. 27 (5) (2017)
Ethan Levien, Paul C. Bressloff
A Stochastic Hybrid Framework for Obtaining Statistics of Many Random Walkers in a Switching Environment. Multiscale Model. Simul. 14 (4) (2016)
Samuel R. Carroll, Paul C. Bressloff
Phase Equation for Patterns of Orientation Selectivity in a Neural Field Model of Visual Cortex. SIAM J. Appl. Dyn. Syst. 15 (1) (2016)
Paul C. Bressloff
Diffusion in Cells with Stochastically Gated Gap Junctions. SIAM J. Appl. Math. 76 (4) (2016)
Bin Xu, Paul C. Bressloff
A PDE-DDE Model for Cell Polarization in Fission Yeast. SIAM J. Appl. Math. 76 (5) (2016)
Heather A. Brooks, Paul C. Bressloff
A Mechanism for Turing Pattern Formation with Active and Passive Transport. SIAM J. Appl. Dyn. Syst. 15 (4) (2016)
Paul C. Bressloff, Zachary P. Kilpatrick
Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields. SIAM J. Appl. Dyn. Syst. 14 (1) (2015)
Paul C. Bressloff, Samuel R. Carroll
Laminar Neural Field Model of Laterally Propagating Waves of Orientation Selectivity. PLoS Comput. Biol. 11 (10) (2015)
Paul C. Bressloff, Bin Xu
Stochastic Active-Transport Model of Cell Polarization. SIAM J. Appl. Math. 75 (2) (2015)
Paul C. Bressloff, Sean D. Lawley
Escape from Subcellular Domains with Randomly Switching Boundaries. Multiscale Model. Simul. 13 (4) (2015)
Paul C. Bressloff, Samuel R. Carroll
Spatiotemporal Dynamics of Neural Fields on Product Spaces. SIAM J. Appl. Dyn. Syst. 13 (4) (2014)
Paul C. Bressloff, Stephen Coombes
Neural 'Bubble' Dynamics Revisited. Cogn. Comput. 5 (3) (2013)
Paul C. Bressloff, Jay M. Newby
Metastability in a Stochastic Neural Network Modeled as a Velocity Jump Markov Process. SIAM J. Appl. Dyn. Syst. 12 (3) (2013)
Paul C. Bressloff, Jeremy Wilkerson
Traveling pulses in a stochastic neural field model of direction selectivity. Frontiers Comput. Neurosci. 6 (2012)
Paul C. Bressloff, Matthew A. Webber
Neural field model of binocular rivalry waves. J. Comput. Neurosci. 32 (2) (2012)
Mathieu Galtier, Olivier D. Faugeras, Paul C. Bressloff
Hebbian Learning of Recurrent Connections: A Geometrical Perspective. Neural Comput. 24 (9) (2012)
Paul C. Bressloff, Matthew A. Webber
Front Propagation in Stochastic Neural Fields. SIAM J. Appl. Dyn. Syst. 11 (2) (2012)
Paul C. Bressloff, Zachary P. Kilpatrick
Two-Dimensional Bumps in Piecewise Smooth Neural Fields with Synaptic Depression. SIAM J. Appl. Math. 71 (2) (2011)
Zachary P. Kilpatrick, Paul C. Bressloff
Binocular Rivalry in a Competitive Neural Network with Synaptic Depression. SIAM J. Appl. Dyn. Syst. 9 (4) (2010)
Zachary P. Kilpatrick, Paul C. Bressloff
Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression. J. Comput. Neurosci. 28 (2) (2010)
Berton A. Earnshaw, Paul C. Bressloff
A diffusion-activation model of CaMKII translocation waves in dendrites. J. Comput. Neurosci. 28 (1) (2010)
William H. Nesse, Alla Borisyuk, Paul C. Bressloff
Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation. J. Comput. Neurosci. 26 (1) (2009)
Paul C. Bressloff
Stochastic Neural Field Theory and the System-Size Expansion. SIAM J. Appl. Math. 70 (5) (2009)
William H. Nesse, Alla Borisyuk, Paul C. Bressloff
Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation. J. Comput. Neurosci. 25 (2) (2008)
Paul C. Bressloff, Berton A. Earnshaw, Michael Jeffrey Ward
Diffusion of Protein Receptors on a Cylindrical Dendritic Membrane with Partially Absorbing Traps. SIAM J. Appl. Math. 68 (5) (2008)
Zachary P. Kilpatrick, Stefanos E. Folias, Paul C. Bressloff
Traveling Pulses and Wave Propagation Failure in Inhomogeneous Neural Media. SIAM J. Appl. Dyn. Syst. 7 (1) (2008)
Berton A. Earnshaw, Paul C. Bressloff
Modeling the role of lateral membrane diffusion in AMPA receptor trafficking along a spiny dendrite. J. Comput. Neurosci. 25 (2) (2008)
Paul C. Bressloff
Weakly Interacting Pulses in Synaptically Coupled Neural Media. SIAM J. Appl. Math. 66 (1) (2005)
Paul C. Bressloff
Spontaneous symmetry breaking in self-organizing neural fields. Biol. Cybern. 93 (4) (2005)
Stefanos E. Folias, Paul C. Bressloff
Stimulus-Locked Traveling Waves and Breathers in an Excitatory Neural Network. SIAM J. Appl. Math. 65 (6) (2005)
Paul C. Bressloff
Euclidean Shift-Twist Symmetry in Population Models of Self-Aligning Objects. SIAM J. Appl. Math. 64 (5) (2004)
Paul C. Bressloff, Stefanos E. Folias
Front Bifurcations in an Excitatory Neural Network. SIAM J. Appl. Math. 65 (1) (2004)
Stefanos E. Folias, Paul C. Bressloff
Breathing Pulses in an Excitatory Neural Network. SIAM J. Appl. Dyn. Syst. 3 (3) (2004)
Jack D. Cowan, Paul C. Bressloff
Visual cortex and the Retinex algorithm. Human Vision and Electronic Imaging (2002)
Paul C. Bressloff, Jack D. Cowan, Martin Golubitsky, Peter J. Thomas, Matthew C. Wiener
What Geometric Visual Hallucinations Tell Us about the Visual Cortex. Neural Comput. 14 (3) (2002)
Paul C. Bressloff, Jack D. Cowan
An Amplitude Equation Approach to Contextual Effects in Visual Cortex. Neural Comput. 14 (3) (2002)
Paul C. Bressloff, Stephen Coombes
Solitary Waves in a Model of Dendritic Cable with Active Spines. SIAM J. Appl. Math. 61 (2) (2000)
Peter Roper, Paul C. Bressloff, André Longtin
A Phase Model of Temperature-Dependent Mammalian Cold Receptors. Neural Comput. 12 (5) (2000)
Paul C. Bressloff, Stephen Coombes
A Dynamical Theory of Spike Train Transitions in Networks of Integrate-and-Fire Oscillators. SIAM J. Appl. Math. 60 (3) (2000)
Paul C. Bressloff, Stephen Coombes
Dynamics of Strongly Coupled Spiking Neurons. Neural Comput. 12 (1) (2000)
Paul C. Bressloff, Neil W. Bressloff, Jack D. Cowan
Dynamical Mechanism for Sharp Orientation Tuning in an Integrate-and-Fire Model of a Cortical Hypercolumn. Neural Comput. 12 (11) (2000)
Paul C. Bressloff
Resonantlike Synchronization and Bursting in a Model of Pulse-Coupled Neurons with Active Dendrites. J. Comput. Neurosci. 6 (3) (1999)
Paul C. Bressloff
Integro-differential equations and the stability of neural networks with dendritic structure. Biol. Cybern. 73 (3) (1995)
Paul C. Bressloff, John G. Taylor
Dynamics of compartmental model neurons. Neural Networks 7 (6-7) (1994)
Paul C. Bressloff
Learning Temporal Sequences from Examples in a Local Feedback Neural Network. Int. J. Neural Syst. 5 (1) (1994)
Paul C. Bressloff, John G. Taylor
Compartmental-model response function for dendritic trees. Biol. Cybern. 70 (2) (1993)
Paul C. Bressloff, Jaroslav Stark
Analysis of associative reinforcement learning in neural networks using iterated function systems. IEEE Trans. Syst. Man Cybern. 22 (6) (1992)
Paul C. Bressloff, John G. Taylor
Discrete time leaky integrator network with synaptic noise. Neural Networks 4 (6) (1991)