Jonathan E. Rubin

发表

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

Remus Osan, Bard Ermentrout, Jonathan E. Rubin, 2003, Neurocomputing.

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

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

Modulation of LTP/LTD balance in STDP by an activity-dependent feedback mechanism

Jonathan E. Rubin, Shigeru Kubota, Tatsuo Kitajima, 2009, Neural Networks.

Interactions of persistent sodium and calcium-activated nonspecific cationic currents yield dynamically distinct bursting regimes in a model of respiratory neurons

Jonathan E. Rubin, Justin R. Dunmyre, Christopher A. Del Negro, 2011, Journal of Computational Neuroscience.

Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model

Jonathan E. Rubin, Kerry-Lyn Roberts, Martin Wechselberger, 2015, SIAM J. Appl. Dyn. Syst..

Locally Contractive Dynamics in Generalized Integrate-and-Fire Neurons

Ernst Niebur, Stefan Mihalas, Richard Brown, 2013, SIAM J. Appl. Dyn. Syst..

A model for low-frequency bursts in subthalamic nucleus neurons

Jonathan E. Rubin, Shigeru Kubota, 2014, J. Robotics Netw. Artif. Life.

High Frequency Stimulation of the Subthalamic Nucleus Eliminates Pathological Thalamic Rhythmicity in a Computational Model

Jonathan E. Rubin, David Terman, J. Rubin, 2004, Journal of Computational Neuroscience.

Interaction of Canard and Singular Hopf Mechanisms in a Neural Model

Jonathan E. Rubin, Rodica Curtu, J. Rubin, 2011, SIAM J. Appl. Dyn. Syst..

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..

The Interaction of Intrinsic Dynamics and Network Topology in Determining Network Burst Synchrony

Jonathan E. Rubin, Christopher Gaiteri, C. Gaiteri, 2011, Front. Comput. Neurosci..

Corticostriatal synaptic weight evolution in a two-alternative forced choice task

Kyle Dunovan, Jonathan E. Rubin, Catalina Vich, 2019, bioRxiv.

Optimal Intrinsic Dynamics for Bursting in a Three-Cell Network

Jonathan E. Rubin, Justin R. Dunmyre, J. Rubin, 2010, SIAM J. Appl. Dyn. Syst..

Giant squid-hidden canard: the 3D geometry of the Hodgkin–Huxley model

Jonathan E. Rubin, Martin Wechselberger, J. Rubin, 2007, Biological Cybernetics.

Coherent Behavior in Neuronal Networks

Jonathan E. Rubin, Ranulfo Romo, Manuel Matias, 2009 .

Synchronized Activity and Loss of Synchrony Among Heterogeneous Conditional Oscillators

Jonathan E. Rubin, David Terman, J. Rubin, 2002, SIAM J. Appl. Dyn. Syst..

Multi-site stimulation of subthalamic nucleus diminishes thalamocortical relay errors in a biophysical network model

Jonathan E. Rubin, Yixin Guo, J. Rubin, 2011, Neural Networks.

Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris-Lecar System

Yangyang Wang, Jonathan E. Rubin, Vivien Kirk, 2015, SIAM J. Appl. Dyn. Syst..

Geometric Analysis of Population Rhythms in Synaptically Coupled Neuronal Networks

Jonathan E. Rubin, David Terman, J. Rubin, 2000, Neural Computation.

Effects of persistent sodium current blockade in respiratory circuits depend on the pharmacological mechanism of action and network dynamics

Jonathan E. Rubin, Ryan S. Phillips, Ryan S. Phillips, 2019, bioRxiv.

Synchronous rhythms in a model for the indirect pathway of the basal ganglia

Jonathan E. Rubin, David Terman, Charles J. Wilson, 2001, Neurocomputing.

Geometric analysis of neuronal firing patterns in network models with fast inhibitory synapses

Jonathan E. Rubin, David Terman, 1999, Neurocomputing.

Reward-driven changes in striatal pathway competition shape evidence evaluation in decision-making

Timothy D. Verstynen, Kyle Dunovan, Jonathan E. Rubin, 2019, PLoS Comput. Biol..

Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons

Jonathan E. Rubin, Choongseok Park, J. Rubin, 2012, Journal of Computational Neuroscience.

The Effect of Spike Redistribution in a Reciprocally Connected Pair of Neurons with Spike Timing-Dependent Plasticity

Paul W. Munro, Jonathan E. Rubin, Gerardina Hernández, 2002, Neurocomputing.

Control of oscillation periods and phase durations in half-center central pattern generators: a comparative mechanistic analysis

Ilya A. Rybak, Jonathan E. Rubin, Silvia Daun, 2009, Journal of Computational Neuroscience.

OSCILLATORY BURSTING MECHNISMS IN RESPIRATORY PACEMAKER NEURONS AND NETWORKS

Jonathan E. Rubin, David Terman, Jeffrey C. Smith, 2005 .

A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane

Jonathan E. Rubin, Benjamin Letson, 2018, SIAM J. Appl. Dyn. Syst..

Interacting oscillations in neural control of breathing: modeling and qualitative analysis

Ilya A. Rybak, Natalia Shevtsova, Jonathan E. Rubin, 2011, Journal of Computational Neuroscience.

Correlation transfer from basal ganglia to thalamus in Parkinson's disease

Brent Doiron, Jonathan E. Rubin, Pamela Reitsma, 2011, Frontiers Comput. Neurosci..

Activity-Dependent Synapses Coding of Temporal Information by

Henry Markram, Brent Doiron, Robert Rosenbaum, 2015 .

The Firing of an Excitable Neuron in the Presence of Stochastic Trains of Strong Synaptic Inputs

Kresimir Josic, Jonathan E. Rubin, J. Rubin, 2007, Neural Computation.

Sustained Spatial Patterns of Activity in Neuronal Populations without Recurrent Excitation

Jonathan E. Rubin, William C. Troy, 2004, SIAM J. Appl. Math..

Numerical optimization of coordinated reset stimulation for desynchronizing neuronal network dynamics

Jonathan E. Rubin, Shigeru Kubota, J. Rubin, 2018, Journal of Computational Neuroscience.

Short Term Synaptic Depression Imposes a Frequency Dependent Filter on Synaptic Information Transfer

Brent Doiron, Robert Rosenbaum, Jonathan E. Rubin, 2012, PLoS Comput. Biol..

From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses

Gilles Clermont, Jonathan E. Rubin, Sven Zenker, 2007, PLoS Comput. Biol..

Spike-timing dependent plasticity as a mechanism for ocular dominance shift

Jonathan E. Rubin, Maureen Ritchey, Beth Ann Siegler, 2005, Neurocomputing.

Burst synchronization

Jonathan E. Rubin, 2007, Scholarpedia.

The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network

Alla Borisyuk, Jonathan E. Rubin, David Terman, 2005, SIAM J. Appl. Dyn. Syst..

Surprising Effects of Synaptic Excitation

Jonathan E. Rubin, J. Rubin, 2005, Journal of Computational Neuroscience.

Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function

Bard Ermentrout, Jonathan E. Rubin, Jozsi Z. Jalics, 2010, SIAM J. Appl. Math..

Strategies to Maximize Burst Lengths in Rhythmic Anti-Phase Activity of Networks with Reciprocal Inhibition

Jonathan E. Rubin, Amitabha Bose, 2015, Int. J. Bifurc. Chaos.

Multiple timescale mixed bursting dynamics in a respiratory neuron model

Yangyang Wang, Jonathan E. Rubin, J. Rubin, 2016, Journal of Computational Neuroscience.

Competition Between Transients in the Rate of Approach to a Fixed Point

Carson C. Chow, Jonathan E. Rubin, Judy Day, 2008, SIAM J. Appl. Dyn. Syst..

CordInterneuron Activity in the Mammalian Spinal Population Reconstruction of the Locomotor Cycle

Jonathan E. Rubin, Yifat Prut, Andrew J. Fuglevand, 2014 .

First return maps for the dynamics of synaptically coupled conditional bursters

Georgi S. Medvedev, Jonathan E. Rubin, Evandro Manica, 2010, Biological Cybernetics.

Deriving Information about Architecture from Activity Patterns in Coupled Cell Systems

Kresimir Josic, Jonathan E. Rubin, 2005, SIAM J. Appl. Dyn. Syst..

Localized Bumps of Activity Sustained by Inhibition in a Two-Layer Thalamic Network

Carson C. Chow, Jonathan E. Rubin, David Terman, 2004, Journal of Computational Neuroscience.

Corticostriatal synaptic weight evolution in a two-alternative forced choice task: a computational study

Timothy D. Verstynen, Kyle Dunovan, Jonathan E. Rubin, 2020, Commun. Nonlinear Sci. Numer. Simul..

Steady states in an iterative model for multiplicative spike-timing-dependent plasticity.

Jonathan E. Rubin, 2001 .

Conditions for Multi-functionality in a Rhythm Generating Network Inspired by Turtle Scratching

Jonathan E. Rubin, Abigail C. Snyder, 2015, Journal of mathematical neuroscience.

A Closed-Loop Model of the Respiratory System: Focus on Hypercapnia and Active Expiration

Ilya A. Rybak, Jonathan E. Rubin, Choongseok Park, 2014, PloS one.

Using nonlinear model predictive control to optimize inflammation-modulating therapy

Gilles Clermont, Jonathan E. Rubin, Yoram Vodovotz, 2007 .

Existence and stability of standing hole solutions to complex Ginzburg-Landau equations

Todd Kapitula, Jonathan E. Rubin, J. Rubin, 1999, patt-sol/9902002.

Using a Mathematical Model to Analyze the Role of Probiotics and Inflammation in Necrotizing Enterocolitis

G. Bard Ermentrout, Jonathan E. Rubin, Yoram Vodovotz, 2009, PloS one.

Unbiased inference of parameter distributions for nonlinear models: The underdetermined case

Gilles Clermont, Jonathan E. Rubin, Sven Zenker, 2008 .

A Phenomenological Calcium-Based Model of STDP

Richard C. Gerkin, Jonathan E. Rubin, Guo-Qiang Bi, 2010 .

The geometry of neuronal recruitment

Jonathan E. Rubin, Amitabha Bose, J. Rubin, 2006 .

Existence of Standing Pulse Solutions to an Inhomogeneous Reaction–Diffusion System

Christopher K. R. T. Jones, Jonathan E. Rubin, J. Rubin, 1998 .

A NONLOCAL EIGENVALUE PROBLEM FOR THE STABILITY OF A TRAVELING WAVE IN A NEURONAL MEDIUM

Jonathan E. Rubin, J. Rubin, 2004 .

Towards a model-based medicine: integration of probabilistic inference with mechanistic knowledge

Gilles Clermont, Jonathan E. Rubin, Sven Zenker, 2006 .

Modulating inflammation using nonlinear model predictive control

Gilles Clermont, Jonathan E. Rubin, Judy Day, 2006 .

A reliability study of square wave bursting $\beta$-cells with noise

Jianzhong Su, Jonathan E. Rubin, Jiaoyan Wang, 2011 .