Bard Ermentrout

  • University of Pittsburgh, Department of Mathematics, PA, USA

According to our database1, Bard Ermentrout authored at least 102 papers between 1989 and 2023.

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PhD thesis 


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Chaotic dynamics in spatially distributed neuronal networks generate population-wide shared variability.
PLoS Comput. Biol., January, 2023

Cross-scale excitability in networks of quadratic integrate-and-fire neurons.
PLoS Comput. Biol., October, 2022

Rotating Waves of Nonlocally Coupled Oscillators on the Annulus.
SIAM J. Appl. Dyn. Syst., September, 2022

BioSimulators: a central registry of simulation engines and services for recommending specific tools.
Nucleic Acids Res., 2022

BioSimulators: a central registry of simulation engines and services for recommending specific tools.
CoRR, 2022

The Dynamics of Bilateral Olfactory Search and Navigation.
SIAM Rev., 2021

Noise-Driven Oscillations in Coupled Excitable Systems.
SIAM J. Appl. Dyn. Syst., 2021

A computational model of the shrimp-goby escape and communication system.
J. Comput. Neurosci., 2021

Direction-selective motion discrimination by traveling waves in visual cortex.
PLoS Comput. Biol., 2020

Augmented Phase Reduction of (Not So) Weakly Perturbed Coupled Oscillators.
SIAM Rev., 2019

An Operational Definition of Phase Characterizes the Transient Response of Perturbed Limit Cycle Oscillators.
SIAM J. Appl. Dyn. Syst., 2018

Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation.
SIAM J. Appl. Dyn. Syst., 2018

Oscillations in working memory and neural binding: A mechanism for multiple memories and their interactions.
PLoS Comput. Biol., 2018

Emergent mechanics of actomyosin drive punctuated contractions and shape network morphology in the cell cortex.
PLoS Comput. Biol., 2018

Information-theoretic analysis of realistic odor plumes: What cues are useful for determining location?
PLoS Comput. Biol., 2018

Traveling Pulses in a Nonlocal Equation Arising Near a Saddle-Node Infinite Cycle Bifurcation.
SIAM J. Appl. Math., 2017

Optogenetic Stimulation Shifts the Excitability of Cerebral Cortex from Type I to Type II: Oscillation Onset and Wave Propagation.
PLoS Comput. Biol., 2017

Heterogeneity and Oscillations in Small Swarms.
SIAM J. Appl. Dyn. Syst., 2016

Weakly coupled oscillators in a slowly varying world.
J. Comput. Neurosci., 2016

Waves and Patterns on Regular Graphs.
SIAM J. Appl. Dyn. Syst., 2015

Bifurcations in the Wilson-Cowan Equations with Nonsmooth Firing Rate.
SIAM J. Appl. Dyn. Syst., 2015

Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics.
J. Comput. Neurosci., 2015

The rhythms of steady posture: Motor commands as spatially organized oscillation patterns.
Neurocomputing, 2015

Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity.
Biol. Cybern., 2015

Propagating Waves as a Cortical Mechanism of Direction-Selectivity in V1 Motion Cells.
Proceedings of the BICT 2015, 2015

Flicker-Induced Phosphenes.
Proceedings of the Encyclopedia of Computational Neuroscience, 2014

Phase Models, Noisy.
Proceedings of the Encyclopedia of Computational Neuroscience, 2014

Computational study of NMDA conductance and cortical oscillations in schizophrenia.
Frontiers Comput. Neurosci., 2014

Wandering Bumps in Stochastic Neural Fields.
SIAM J. Appl. Dyn. Syst., 2013

Stimulus features, resetting curves, and the dependence on adaptation.
J. Comput. Neurosci., 2013

Impact of neuronal heterogeneity on correlated colored noise-induced synchronization.
Frontiers Comput. Neurosci., 2013

Pattern Formation in a Model of Acute Inflammation.
SIAM J. Appl. Dyn. Syst., 2012

Bifurcations of Stationary Solutions in an Interacting Pair of E-I Neural Fields.
SIAM J. Appl. Dyn. Syst., 2012

Modeling neuropathologies as disruption of normal sequence generation in working memory networks.
Neural Networks, 2012

The Shape of Phase-Resetting Curves in Oscillators with a Saddle Node on an Invariant Circle Bifurcation.
Neural Comput., 2012

A model for complex sequence learning and reproduction in neural populations.
J. Comput. Neurosci., 2012

Hallucinogen persisting perception disorder in neuronal networks with adaptation.
J. Comput. Neurosci., 2012

A Model for the Origin and Properties of Flicker-Induced Geometric Phosphenes.
PLoS Comput. Biol., 2011

Sparse Gamma Rhythms Arising through Clustering in Adapting Neuronal Networks.
PLoS Comput. Biol., 2011

Finite-size and correlation-induced effects in mean-field dynamics.
J. Comput. Neurosci., 2011

Phase-resetting curve determines how BK currents affect neuronal firing.
J. Comput. Neurosci., 2011

The variance of phase-resetting curves.
J. Comput. Neurosci., 2011

The mechanisms for compression and reflection of cortical waves.
Biol. Cybern., 2011

Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function.
SIAM J. Appl. Math., 2010

Analysis of Recurrent Networks of Pulse-Coupled Noisy Neural Oscillators.
SIAM J. Appl. Dyn. Syst., 2010

Spatially Localized Synchronous Oscillations in Synaptically Coupled Neuronal Networks: Conductance-based Models and Discrete Maps.
SIAM J. Appl. Dyn. Syst., 2010

Amplification of Asynchronous Inhibition-Mediated Synchronization by Feedback in Recurrent Networks.
PLoS Comput. Biol., 2010

Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model.
SIAM J. Appl. Dyn. Syst., 2009

Subbarrel Patterns in Somatosensory Cortical Barrels Can Emerge from Local Dynamic Instabilities.
PLoS Comput. Biol., 2009

Synchronization dynamics of two coupled neural oscillators receiving shared and unshared noisy stimuli.
J. Comput. Neurosci., 2009

Wave Formation through the Interactions between Clustered States and Local Coupling in Arrays of Neural Oscillators.
SIAM J. Appl. Dyn. Syst., 2008

Phase model.
Scholarpedia, 2008

Ermentrout-Kopell canonical model.
Scholarpedia, 2008

Oscillation death.
Scholarpedia, 2008

Pattern Formation in an Array of Oscillators with Electrical and Chemical Coupling.
SIAM J. Appl. Math., 2007

Scholarpedia, 2007

Simulation of networks of spiking neurons: A review of tools and strategies.
J. Comput. Neurosci., 2007

Reliability and stochastic synchronization in type I vs. type II neural oscillators.
Neurocomputing, 2007

Phase Boundaries as Electrically Induced Phosphenes.
SIAM J. Appl. Dyn. Syst., 2006

Phase resetting and coupling of noisy neural oscillators.
J. Comput. Neurosci., 2006

Predicting synchronized neural assemblies from experimentally estimated phase-resetting curves.
Neurocomputing, 2006

On the human sensorimotor-cortex beta rhythm: Sources and modeling.
NeuroImage, 2005

Analysis of a Canard Mechanism by Which Excitatory Synaptic Coupling Can Synchronize Neurons at Low Firing Frequencies.
SIAM J. Appl. Math., 2004

Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation.
SIAM J. Appl. Dyn. Syst., 2004

Model of the Early Development of Thalamo-Cortical Connections and Area Patterning via Signaling Molecules.
J. Comput. Neurosci., 2004

Model for Transition from Waves to Synchrony in the Olfactory Lobe of Limax.
J. Comput. Neurosci., 2004

Nonlinear Coupling near a Degenerate Hopf (Bautin) Bifurcation.
SIAM J. Appl. Math., 2003

Dynamical Consequences of Fast-Rising, Slow-Decaying Synapses in Neuronal Networks.
Neural Comput., 2003

Spike Generating Dynamics and the Conditions for Spike-Time Precision in Cortical Neurons.
J. Comput. Neurosci., 2003

Traveling waves in a one-dimensional integrate-and-fire neural network with finite support connectivity.
Neurocomputing, 2003

Speed-up methods for simulations of traveling waves in integrate-and-fire neural networks.
Neurocomputing, 2003

Multiple Bumps in a Neuronal Model of Working Memory.
SIAM J. Appl. Math., 2002

Regular Traveling Waves in a One-Dimensional Network of Theta Neurons.
SIAM J. Appl. Math., 2002

Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model.
Neurocomputing, 2002

Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students.
Software, environments, tools 14, SIAM, ISBN: 978-0-89871-506-4, 2002

Propagating Activity Patterns in Thalamic Neuronal Networks.
SIAM J. Appl. Math., 2001

Spatially Structured Activity in Synaptically Coupled Neuronal Networks: II. Lateral Inhibition and Standing Pulses.
SIAM J. Appl. Math., 2001

Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses.
SIAM J. Appl. Math., 2001

The Effects of Spike Frequency Adaptation and Negative Feedback on the Synchronization of Neural Oscillators.
Neural Comput., 2001

Turning On and Off with Excitation: The Role of Spike-Timing Asynchrony and Synchrony in Sustained Neural Activity.
J. Comput. Neurosci., 2001

Two dimensional synaptically generated traveling waves in a theta-neuron neural network.
Neurocomputing, 2001

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.
J. Comput. Neurosci., 2000

Layer 3 patchy recurrent excitatory connections may determine the spatial organization of sustained activity in the primate prefrontal cortex.
Neurocomputing, 2000

Effects of dopaminergic modulation of persistent sodium currents on the excitability of prefrontal cortical neurons: A computational study.
Neurocomputing, 1999

Dynamics of Membrane Excitability Determine Inter-Spike Interval Variability: A Link Between Spike Generation Mechanisms and Cortical Spike Train Statistics.
Neural Comput., 1998

Linearization of F-I Curves by Adaptation.
Neural Comput., 1998

Spike Frequency Adaptation Affects the Synchronization Properties of Networks of Cortical Oscillator.
Neural Comput., 1998

The Analysis of Synaptically Generated Traveling Waves.
J. Comput. Neurosci., 1998

Dendritic and Synaptic Effects in Systems of Coupled Cortical Oscillators.
J. Comput. Neurosci., 1998

Wave Propagation Mediated by GABAB Synapse and Rebound Excitation in an Inhibitory Network: A Reduced Model Approach.
J. Comput. Neurosci., 1998

The Role of Axonal Delay in the Synchronization of Networks of Coupled Cortical Oscillators.
J. Comput. Neurosci., 1997

Reflected Waves in an Inhomogeneous Excitable Medium.
SIAM J. Appl. Math., 1996

Type I Membranes, Phase Resetting Curves, and Synchrony.
Neural Comput., 1996

A quantitative population model of whisker barrels: Re-examining the Wilson-Cowan equations.
J. Comput. Neurosci., 1996

The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System.
SIAM J. Appl. Math., 1994

Stable Rotating Waves in Two-Dimensional Discrete Active Media.
SIAM J. Appl. Math., 1994

Inhibition-Produced Patterning in Chains of Coupled Nonlinear Oscillators.
SIAM J. Appl. Math., 1994

Learning of Phase Lags in Coupled Neural Oscillators.
Neural Comput., 1994

Reduction of Conductance-Based Models with Slow Synapses to Neural Nets.
Neural Comput., 1994

When inhibition not excitation synchronizes neural firing.
J. Comput. Neurosci., 1994

Complex dynamics in winner-take-all neural nets with slow inhibition.
Neural Networks, 1992

Autowave Processes in Kinetic Systems: Spatial and Temporal Self-Organization in Physics, Chemistry, Biology, and Medicine (V. A. Vasiliev, Yu. M. Romanovskii, D. S. Chernavskii, and V. G. Yakhno).
SIAM Rev., 1989