B. Ermentrout

发表

Learning of Phase Lags in Coupled Neural Oscillators

Bard Ermentrout, Nancy Kopell, N. Kopell, 1994, Neural Computation.

Neural networks as spatio-temporal pattern-forming systems

B. Ermentrout, 1998 .

An adaptive model for synchrony in the firefly Pteroptyx malaccae

B. Ermentrout, B. Ermentrout, Pteroptyx malaccae, 1991 .

Inhibition-based rhythms: experimental and mathematical observations on network dynamics.

R. Traub, M. Whittington, E. Buhl, 2000, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks.

B. Ermentrout, N. Kopell, 2004, Proceedings of the National Academy of Sciences of the United States of America.

Effects of dopaminergic modulation of persistent sodium currents on the excitability of prefrontal cortical neurons: A computational study

Boris S. Gutkin, Jim G. Dilmore, Bard Ermentrout, 1999, Neurocomputing.

Phase resetting and coupling of noisy neural oscillators

David Saunders, Bard Ermentrout, B. Ermentrout, 2006, Journal of Computational Neuroscience.

Inhibition-Produced Patterning in Chains of Coupled Nonlinear Oscillators

Bard Ermentrout, Nancy Kopell, N. Kopell, 1994, SIAM J. Appl. Math..

Sequentially firing neurons confer flexible timing in neural pattern generators.

B. Ermentrout, Alexander Urban, 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

Multiple-spike waves in a one-dimensional integrate-and-fire neural network

J. Rubin, B. Ermentrout, R. Osan, 2004, Journal of mathematical biology.

Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square

B. Ermentrout, 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students

Bard Ermentrout, B. Ermentrout, 2002, Software, environments, tools.

A Model for Shell Patterns Based on Neural Activity

G. Oster, B. Ermentrout, J. Campbell, 2010 .

In vivo, in vitro, and in silico studies suggest a conserved immune module that regulates malaria parasite transmission from mammals to mosquitoes.

James R Faeder, Bard Ermentrout, Ruben Zamora, 2013, Journal of theoretical biology.

Working Memory Cells' Behavior May Be Explained by Cross-Regional Networks with Synaptic Facilitation

Joaquin M. Fuster, Bard Ermentrout, Sergio Verduzco-Flores, 2009, PloS one.

Delays and weakly coupled neuronal oscillators

B. Ermentrout, Tae-Wook Ko, 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Computational Insights on the Competing Effects of Nitric Oxide in Regulating Apoptosis

Ivet Bahar, Bard Ermentrout, Yoram Vodovotz, 2008, PloS one.

Translational Systems Approaches to the Biology of Inflammation and Healing

Bard Ermentrout, Gary An, Ruben Zamora, 2010, Immunopharmacology and immunotoxicology.

Activation and Repolarization Patterns are Governed by Different Structural Characteristics of Ventricular Myocardium:

G. Salama, B. Ermentrout, I. Efimov, 1996, Journal of cardiovascular electrophysiology.

Propagating activity patterns in large-scale inhibitory neuronal networks.

J. Rinzel, B. Ermentrout, D. Terman, 1998, Science.

Balancing organization and flexibility in foraging dynamics.

Michaelangelo D. Tabone, B. Doiron, B. Ermentrout, 2010, Journal of theoretical biology.

Response of traveling waves to transient inputs in neural fields.

B. Ermentrout, Z. Kilpatrick, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

Oscillations in a refractory neural net

B. Ermentrout, R. Curtu, 2001, Journal of mathematical biology.

Phase Models Beyond Weak Coupling.

B. Ermentrout, Dan Wilson, 2019, Physical review letters.

Greater accuracy and broadened applicability of phase reduction using isostable coordinates

B. Ermentrout, Dan Wilson, 2018, Journal of mathematical biology.

Model for olfactory discrimination and learning in Limax procerebrum incorporating oscillatory dynamics and wave propagation.

B Ermentrout, A. Gelperin, B. Ermentrout, 2001, Journal of neurophysiology.

Modeling Host–Vector–Pathogen Immuno-inflammatory Interactions in Malaria

Bard Ermentrout, Ruben Zamora, Yoram Vodovotz, 2013 .

Formation of antiwaves in gap-junction-coupled chains of neurons.

B. Ermentrout, Alexander Urban, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

Theta-gamma cross-frequency coupling enables covariance between distant brain regions

Y. Jimbo, B. Ermentrout, K. Kotani, 2019, 1903.12155.

Local Spatial and Temporal Processes of Influenza in Pennsylvania, USA: 2003–2009

Bard Ermentrout, Stephen R. Wisniewski, Donald S. Burke, 2012, PloS one.

Synchronization of oscillators via active media.

B. Ermentrout, Derek Orr, 2019, Physical Review E.

The neural origins of shell structure and pattern in aquatic mollusks

Bard Ermentrout, George Oster, G. Oster, 2009, Proceedings of the National Academy of Sciences.

Gap junctions destroy persistent states in excitatory networks.

Bard Ermentrout, B. Ermentrout, 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

Evolution of patterns on Conus shells

M. Slatkin, G. Oster, B. Ermentrout, 2012, Proceedings of the National Academy of Sciences.

Stochastic firing rate models

J. Touboul, O. Faugeras, B. Ermentrout, 2010, 1001.3872.

Complex Times for Earthquakes, Stocks, and the Brain's Activity

Christoph Kayser, Bard Ermentrout, C. Kayser, 2010, Neuron.

Stochastic Pacing Inhibits Spatially Discordant Cardiac Alternans.

B. Ermentrout, Dan Wilson, 2017, Biophysical journal.

Neural Nets as Spatio-temporal Pattern Forming Systems

Bard Ermentrout, B. Ermentrout, 1997 .

Correlation transfer in stochastically driven neural oscillators over long and short time scales.

Bard Ermentrout, B. Ermentrout, Aushra Abouzeid, 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

Rotary DNA motors.

B Ermentrout, G. Oster, B. Ermentrout, 1995, Biophysical journal.

Pattern formation in oscillatory media without lateral inhibition.

Bard Ermentrout, Rehman Ali, Jeremy Harris, 2016, Physical review. E.

Stochastic Neuroscience

B. Ermentrout, 2008 .

Neural networks as spatio-temporal pattern-forming systems

B. Ermentrout, 1998 .

Mouse Navigation Strategies for Odor Source Localization

B. Ermentrout, N. Urban, J. Hengenius, 2020, Frontiers in neuroscience.

Rotating Waves of Nonlocally Coupled Oscillators on the Annulus

B. Ermentrout, Yujie Ding, 2022, SIAM J. Appl. Dyn. Syst..

A model for the collective synchronization of flashing in Photinus carolinus

J. Rubin, B. Ermentrout, Madeline McCrea, 2022, Journal of the Royal Society Interface.

The inhibitory control of traveling waves in cortical networks

Jian-Young Wu, B. Ermentrout, Grishma Palkar, 2022, bioRxiv.

B. Ermentrout, E. Mochan, T. Sego, 2022, Bulletin of mathematical biology.

Fast and accurate representations of stochastic ion channel fluctuations

David F. Anderson, Deena R. Schmidt, B. Ermentrout, 2015, BMC Neuroscience.

Greater accuracy and broadened applicability of phase reduction using isostable coordinates

B. Ermentrout, D. Wilson, 2017, Journal of Mathematical Biology.

Stimulus features, resetting curves, and the dependence on adaptation

B. Ermentrout, S. Burton, Joseph G. Arthur, 2013, Journal of Computational Neuroscience.

Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics

David F. Anderson, B. Ermentrout, P. Thomas, 2014, Journal of Computational Neuroscience.

Rotating waves in simple scalar excitable media: approximations and numerical solutions

B. Ermentrout, B. V. D. van der Ventel, 2016, Journal of Mathematical Biology.

Waves and oscillations in networks of coupled neurons

B. Ermentrout, 2005 .

Stochastic Network Models in Neuroscience: A Festschrift for Jack Cowan. Introduction to the Special Issue

O. Faugeras, P. Bressloff, B. Ermentrout, 2016, Journal of mathematical neuroscience.

On the human sensorimotor-cortex beta rhythm: Sources and modeling

Mikko Pohja, Bard Ermentrout, Nancy Kopell, 2005, NeuroImage.

Chaotic dynamics in spatially distributed neuronal networks generate population-wide shared variability

B. Ermentrout, Chengcheng Huang, Noga Mosheiff, 2022, bioRxiv.

A Model of Ocular Dominance Column Development by Competition for Trophic Factor: Effects of Excess Trophic Factor with Monocular Deprivation and Effects of Antagonist of Trophic Factor

Steven L. Small, Bard Ermentrout, Anthony E. Harris, 2000, Journal of Computational Neuroscience.

Type I Membranes, Phase Resetting Curves, and Synchrony

Bard Ermentrout, B. Ermentrout, 1996, Neural Computation.

The Effects of Spike Frequency Adaptation and Negative Feedback on the Synchronization of Neural Oscillators

Boris S. Gutkin, Bard Ermentrout, Matthew Pascal, 2001, Neural Computation.

Linearization of F-I Curves by Adaptation

Bard Ermentrout, B. Ermentrout, 1998, Neural Computation.

Dynamics of Membrane Excitability Determine Interspike Interval Variability: A Link Between Spike Generation Mechanisms and Cortical Spike Train Statistics

Boris S. Gutkin, Bard Ermentrout, B. Ermentrout, 1998, Neural Computation.

Spike Frequency Adaptation Affects the Synchronization Properties of Networks of Cortical Oscillators

James M. Bower, Bard Ermentrout, Sharon Crook, 1998, Neural Computation.

Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model

Bard Ermentrout, Martin Wechselberger, B. Ermentrout, 2009, SIAM J. Appl. Dyn. Syst..

Dendritic and Synaptic Effects in Systems of Coupled Cortical Oscillators

James M. Bower, Bard Ermentrout, Sharon Crook, 1998, Journal of Computational Neuroscience.

Actomyosin meshwork mechanosensing enables tissue shape to orient cell force

Bard Ermentrout, Adam C. Martin, Lance A Davidson, 2017, Nature Communications.

Traveling waves in non-local pulse-coupled networks

B. Ermentrout, Yujie Ding, 2021, Journal of Mathematical Biology.

Optogenetic Stimulation Shifts the Excitability of Cerebral Cortex from Type I to Type II: Oscillation Onset and Wave Propagation

Bard Ermentrout, Michael Rule, Wilson A. Truccolo, 2017, PLoS Comput. Biol..

Modeling neuropathologies as disruption of normal sequence generation in working memory networks

Bard Ermentrout, Sergio Oscar Verduzco-Flores, Mark Bodner, 2012, Neural Networks.

A model for complex sequence learning and reproduction in neural populations

Bard Ermentrout, Mark Bodner, Sergio Oscar Verduzco-Flores, 2011, Journal of Computational Neuroscience.

On the origin and dynamics of the vasomotion of small arteries.

B Ermentrout, B. Ermentrout, J M Gonzalez-Fernandez, 1994, Mathematical biosciences.

A quantitative population model of whisker barrels: Re-examining the Wilson-Cowan equations

Joshua C. Brumberg, Roger D. Traub, Bard Ermentrout, 1996, Journal of Computational Neuroscience.

Finite-size and correlation-induced effects in mean-field dynamics

Jonathan Touboul, Bard Ermentrout, J. Touboul, 2010, Journal of Computational Neuroscience.

Type-II phase resetting curve is optimal for stochastic synchrony.

Bard Ermentrout, B. Ermentrout, Aushra Abouzeid, 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

Multiple Bumps in a Neuronal Model of Working Memory

Boris S. Gutkin, Bard Ermentrout, Carlo R. Laing, 2002, SIAM J. Appl. Math..

Complex dynamics in winner-take-all neural nets with slow inhibition

Bard Ermentrout, B. Ermentrout, 1992, Neural Networks.

When inhibition not excitation synchronizes neural firing

Bard Ermentrout, L. F. Abbott, Carl Vreeswijk, 1994, Journal of Computational Neuroscience.

Propagating Waves as a Cortical Mechanism of Direction-Selectivity in V1 Motion Cells

Bard Ermentrout, Stewart Heitmann, B. Ermentrout, 2016, BICT.

Optimizing Working Memory with Heterogeneity of Recurrent Cortical Excitation

Brent Doiron, Bard Ermentrout, Zachary P Kilpatrick, 2013, The Journal of Neuroscience.

Wandering Bumps in Stochastic Neural Fields

Zachary P. Kilpatrick, Bard Ermentrout, B. Ermentrout, 2012, SIAM J. Appl. Dyn. Syst..

Bifurcations of Stationary Solutions in an Interacting Pair of E-I Neural Fields

Bard Ermentrout, Stefanos E. Folias, B. Ermentrout, 2012, SIAM J. Appl. Dyn. Syst..

Turning On and Off with Excitation: The Role of Spike-Timing Asynchrony and Synchrony in Sustained Neural Activity

Boris S. Gutkin, Carol L. Colby, Bard Ermentrout, 2001, Journal of Computational Neuroscience.

Spatially Structured Activity in Synaptically Coupled Neuronal Networks: II. Lateral Inhibition and Standing Pulses

Bard Ermentrout, David J. Pinto, B. Ermentrout, 2001, SIAM J. Appl. Math..

Layer 3 patchy recurrent excitatory connections may determine the spatial organization of sustained activity in the primate prefrontal cortex

Boris S. Gutkin, Bard Ermentrout, Joseph O'Sullivan, 2000, Neurocomputing.

Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses

Bard Ermentrout, David J. Pinto, B. Ermentrout, 2001, SIAM J. Appl. Math..

Sensory dynamics of visual hallucinations in the normal population

B. Ermentrout, Stewart Heitmann, J. Pearson, 2016, eLife.

Bifurcations in the Wilson-Cowan Equations with Nonsmooth Firing Rate

Bard Ermentrout, Jeremy Harris, B. Ermentrout, 2015, SIAM J. Appl. Dyn. Syst..

A model for complex sequence learning and reproduction in neural populations

Sergio Oscar Verduzco-Flores, B. Ermentrout, M. Bodner, 2012, Journal of Computational Neuroscience.

Hallucinogen persisting perception disorder in neuronal networks with adaptation

Zachary P. Kilpatrick, Bard Ermentrout, B. Ermentrout, 2012, Journal of Computational Neuroscience.

A Model for the Origin and Properties of Flicker-Induced Geometric Phosphenes

Bard Ermentrout, Michael Rule, Matthew Stoffregen, 2011, PLoS Comput. Biol..

Reflected Waves in an Inhomogeneous Excitable Medium

Bard Ermentrout, John Rinzel, J. Rinzel, 1996, SIAM J. Appl. Math..

Reduction of Conductance-Based Models with Slow Synapses to Neural Nets

Bard Ermentrout, B. Ermentrout, 1994, Neural Computation.

Spike Generating Dynamics and the Conditions for Spike-Time Precision in Cortical Neurons

Boris S. Gutkin, Michael Rudolph, Bard Ermentrout, 2003, Journal of Computational Neuroscience.

Simulation of networks of spiking neurons: A review of tools and strategies

Nicholas T. Carnevale, Michael L. Hines, Frederick C. Harris, 2006, Journal of Computational Neuroscience.

Augmented Phase Reduction of (Not So) Weakly Perturbed Coupled Oscillators

Bard Ermentrout, Dan Wilson, B. Ermentrout, 2019, SIAM Rev..

Book Review

B. Ermentrout, 2008 .

Analysis of a Canard Mechanism by Which Excitatory Synaptic Coupling Can Synchronize Neurons at Low Firing Frequencies

Jianzhong Su, Bard Ermentrout, Jonathan E. Rubin, 2004, SIAM J. Appl. Math..

Mathematical neuroscience: from neurons to circuits to systems

David Pinto, Bard Ermentrout, Boris Gutkin, 2003, Journal of Physiology-Paris.

Recent advances in coupled oscillator theory

Bard Ermentrout, Dan Wilson, Youngmin Park, 2019, Philosophical Transactions of the Royal Society A.

Phase model

Bard Ermentrout, Eugene M. Izhikevich, E. Izhikevich, 2008, Scholarpedia.

Phase-locked patterns of the Kuramoto model on 3-regular graphs.

Bard Ermentrout, Lee DeVille, B. Ermentrout, 2015, Chaos.

Sparse Gamma Rhythms Arising through Clustering in Adapting Neuronal Networks

Zachary P. Kilpatrick, Bard Ermentrout, B. Ermentrout, 2011, PLoS Comput. Biol..

Wave Formation through the Interactions between Clustered States and Local Coupling in Arrays of Neural Oscillators

Bard Ermentrout, Fatma Gürel Kazanci, B. Ermentrout, 2008, SIAM J. Appl. Dyn. Syst..

The rhythms of steady posture: Motor commands as spatially organized oscillation patterns

Michael Breakspear, Tjeerd W. Boonstra, Bard Ermentrout, 2015, Neurocomputing.

Reliability and stochastic synchronization in type I vs. type II neural oscillators

Nathaniel N. Urban, Bard Ermentrout, Roberto Fdez. Galán, 2007, Neurocomputing.

Minimal model of oscillations and waves in the Limax olfactory lobe with tests of the model's predictive power.

B Ermentrout, A. Gelperin, B. Ermentrout, 1998, Journal of neurophysiology.

Mouse Navigation Strategies for Odor Source Localization

Nathaniel N. Urban, Bard Ermentrout, Annie Liu, 2019, bioRxiv.

Model for Transition from Waves to Synchrony in the Olfactory Lobe of Limax

Jorge Flores, Bard Ermentrout, Alan Gelperin, 2004, Journal of Computational Neuroscience.

Local Variations in Spatial Synchrony of Influenza Epidemics

Bard Ermentrout, Stephen R. Wisniewski, Donald S. Burke, 2012, PloS one.

Oscillations in working memory and neural binding: A mechanism for multiple memories and their interactions

Bard Ermentrout, Mark Bodner, Jason E Pina, 2018, bioRxiv.

Information-theoretic analysis of realistic odor plumes: What cues are useful for determining location?

Bard Ermentrout, Jonathan D. Victor, John P. Crimaldi, 2018, PLoS Comput. Biol..

Model of the Early Development of Thalamo-Cortical Connections and Area Patterning via Signaling Molecules

Bard Ermentrout, Jan Karbowski, B. Ermentrout, 2004, Journal of Computational Neuroscience.

Dynamics of single-motor molecules: the thermal ratchet model.

B Ermentrout, G F Oster, G. Ermentrout, 1992, Proceedings of the National Academy of Sciences of the United States of America.

From cognitive networks to seizures: stimulus evoked dynamics in a coupled cortical network.

Bard Ermentrout, Mark Bodner, B. Ermentrout, 2013, Chaos.

Computational study of NMDA conductance and cortical oscillations in schizophrenia

Bard Ermentrout, Kubra Komek Kirli, Raymond Young-Jin Cho, 2014, Front. Comput. Neurosci..

A Comparison between Mouse, In Silico, and Robot Odor Plume Navigation Reveals Advantages of Mouse Odor Tracking

Keeley L. Baker, A Gumaste, G Coronas-Samano, 2020, eNeuro.

Flicker-Induced Phosphenes

Bard Ermentrout, Vincent A. Billock, B. Ermentrout, 2014, Encyclopedia of Computational Neuroscience.

The variance of phase-resetting curves

Bard Ermentrout, Theoden I. Netoff, Bryce Beverlin, 2011, Journal of Computational Neuroscience.

Emergent mechanics of actomyosin drive punctuated contractions and shape network morphology in the cell cortex

Bard Ermentrout, Callie J. Miller, Demetrius Harris, 2018, PLoS Comput. Biol..

Analysis of Recurrent Networks of Pulse-Coupled Noisy Neural Oscillators

Cheng Ly, Bard Ermentrout, B. Ermentrout, 2010, SIAM J. Appl. Dyn. Syst..

Stable Rotating Waves in Two-Dimensional Discrete Active Media

Bard Ermentrout, Joseph E. Paullet, B. Ermentrout, 1994, SIAM J. Appl. Math..

Neural oscillators

B. Ermentrout, 1994 .

B. Ermentrout, E. Mochan, T. Sego, 2022, Bulletin of Mathematical Biology.

Phase Boundaries as Electrically Induced Phosphenes

Bard Ermentrout, Jonathan D. Drover, B. Ermentrout, 2006, SIAM J. Appl. Dyn. Syst..

Phase-resetting curve determines how BK currents affect neuronal firing

Cheng Ly, Bard Ermentrout, Alison L. Barth, 2011, Journal of Computational Neuroscience.

A model of cardiac ryanodine receptor gating predicts experimental Ca2+-dynamics and Ca2+-triggered arrhythmia in the long QT syndrome.

G. Salama, B. Ermentrout, Dan Wilson, 2017, Chaos.

Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model

Remus Osan, Bard Ermentrout, B. Ermentrout, 2002, Neurocomputing.

The Role of Axonal Delay in the Synchronization of Networks of Coupled Cortical Oscillators

James M. Bower, Bard Ermentrout, Sharon Crook, 1997, Journal of Computational Neuroscience.

From working memory to epilepsy: dynamics of facilitation and inhibition in a cortical network.

Bard Ermentrout, Sergio Verduzco-Flores, Sergio Oscar Verduzco-Flores, 2009, Chaos.

Weakly coupled oscillators in a slowly varying world

Youngmin Park, Bard Ermentrout, B. Ermentrout, 2016, Journal of Computational Neuroscience.

Mathematical Simulations of Sepsis and Trauma

J. Rubin, G. Clermont, B. Ermentrout, 2005 .

Pattern formation in systems with one spatially distributed species

G. Bard Ermentrout, Mark A. Lewis, B. Ermentrout, 1997 .

An Operational Definition of Phase Characterizes the Transient Response of Perturbed Limit Cycle Oscillators

Bard Ermentrout, Dan Wilson, B. Ermentrout, 2018, SIAM J. Appl. Dyn. Syst..

Pattern Formation in a Model of Acute Inflammation

Bard Ermentrout, David Swigon, Kevin Penner, 2012, SIAM J. Appl. Dyn. Syst..

Ermentrout-Kopell canonical model

Bard Ermentrout, B. Ermentrout, 2008, Scholarpedia.

Two dimensional synaptically generated traveling waves in a theta-neuron neural network

Remus Osan, Bard Ermentrout, B. Ermentrout, 2001, Neurocomputing.

Regular Traveling Waves in a One-Dimensional Network of Theta Neurons

Remus Osan, Bard Ermentrout, Jonathan E. Rubin, 2002, SIAM J. Appl. Math..

The Analysis of Synaptically Generated Traveling Waves

Bard Ermentrout, B. Ermentrout, 1998, Journal of Computational Neuroscience.

Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation

Bard Ermentrout, Rodica Curtu, B. Ermentrout, 2004, SIAM J. Appl. Dyn. Syst..

Simplifying and reducing complex models

Bard Ermentrout, B. Ermentrout, 2002 .

Models for Pattern Formation in Development

Remus Osan, Bard Ermentrout, B. Ermentrout, 2002 .

Subbarrel Patterns in Somatosensory Cortical Barrels Can Emerge from Local Dynamic Instabilities

Bard Ermentrout, Daniel J. Simons, Peter W. Land, 2009, PLoS Comput. Biol..

Sensory dynamics of visual hallucinations in the normal population

B. Ermentrout, Stewart Heitmann, J. Pearson, 2016, eLife.

Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation

Youngmin Park, Bard Ermentrout, B. Ermentrout, 2018, SIAM J. Appl. Dyn. Syst..

Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity

B. Ermentrout, Stewart Heitmann, 2015, Biological Cybernetics.

Reliability , discriminability and noise-induced synchrony in olfactory neurons

B. Ermentrout, N. Urban, R. Galán, 2005 .

Phase-response curves of coupled oscillators.

G Bard Ermentrout, Tae-Wook Ko, G. Ermentrout, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

The evolution of synaptically generated waves in one- and two-dimensional domains

G. Ermentrout, B. Ermentrout, R. Osan, 2002 .

Spatially Localized Synchronous Oscillations in Synaptically Coupled Neuronal Networks: Conductance-based Models and Discrete Maps

Bard Ermentrout, Stefanos E. Folias, B. Ermentrout, 2010, SIAM J. Appl. Dyn. Syst..

Weakly coupled oscillators in a slowly varying world

B. Ermentrout, Youngmin Park, 2016, Journal of Computational Neuroscience.

The Shape of Phase-Resetting Curves in Oscillators with a Saddle Node on an Invariant Circle Bifurcation

Leon Glass, Bard Ermentrout, Bart E. Oldeman, 2012, Neural Computation.

Phase Models, Noisy

Bard Ermentrout, B. Ermentrout, 2014, Encyclopedia of Computational Neuroscience.

Amplification of asynchronous inhibition-mediated synchronization by feedback in recurrent networks

Bard Ermentrout, Sashi Marella, B. Ermentrout, 2010, BMC Neuroscience.

Amplification of Asynchronous Inhibition-Mediated Synchronization by Feedback in Recurrent Networks

Bard Ermentrout, Sashi Marella, B. Ermentrout, 2010, PLoS computational biology.

Synchrony, stability, and firing patterns in pulse-coupled oscillators

G. Ermentrout, B. Ermentrout, P. Goel, 2002 .

A heuristic description of spiral wave instability in discrete media

G. Bard Ermentrout, G. Ermentrout, B. Ermentrout, 1995 .

Traveling waves in a spatially-distributed Wilson-Cowan model of cortex: From fronts to pulses

G. Ermentrout, B. Ermentrout, J. Harris, 2018 .

Phaseplane, Version 3.0

Bard Ermentrout, B. Ermentrout, 1990 .

Impact of neuronal heterogeneity on correlated colored noise-induced synchronization

Shawn D. Burton, Nathaniel N. Urban, Bard Ermentrout, 2013, Front. Comput. Neurosci..

Inhibitory control of locomotor statistics in walking Drosophila

B. Ermentrout, Hannah Gattuso, Jonathan D. Victor, 2024, bioRxiv.

Synchronization dynamics of two coupled neural oscillators receiving shared and unshared noisy stimuli

Cheng Ly, Bard Ermentrout, B. Ermentrout, 2009, Journal of Computational Neuroscience.

The Effects of Spike Frequency Adaptation and Negative Feedback on the Synchronization of Neural Oscillators

B. Ermentrout, B. Gutkin, M. Pascal, 2001, Neural Computation.

Transition fronts and localized structures in bistable reaction-diffusion equations

G. Bard Ermentrout, Xinfu Chen, G. Ermentrout, 1997 .

Complex Times for Earthquakes, Stocks, and the Brain's Activity

C. Kayser, B. Ermentrout, 2010, Neuron.

Mechanisms for Producing Oscillatory Plane Waves in Discrete and Continuum Models

B. Ermentrout, Andrea J Welsh, 2023, SIAM J. Appl. Math..

A Boundary Value Approach to Optimization with an Application to Salmonella Competition

J. Rubin, B. Ermentrout, G. Young, 2015, Bulletin of Mathematical Biology.

Partially locked states in coupled oscillators due to inhomogeneous coupling.

G Bard Ermentrout, Tae-Wook Ko, B. Ermentrout, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

Simple olfactory navigation in air and water.

B. Ermentrout, J. Crimaldi, Bowei Ouyang, 2024, Journal of theoretical biology.

Evolution of patterns on Conus shells

M. Slatkin, G. Oster, B. Ermentrout, 2012, Proceedings of the National Academy of Sciences.