J. Rubin

发表

Calcium time course as a signal for spike-timing-dependent plasticity.

Carson C. Chow, G. Bi, J. Rubin, 2005, Journal of neurophysiology.

Timing in synaptic plasticity: from detection to integration

G. Bi, J. Rubin, 2005, Trends in Neurosciences.

Neuronal Dynamics and the Basal Ganglia

J. Rubin, D. Terman, 2007 .

The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales.

J. Rubin, M. Wechselberger, 2008, Chaos.

Activity Patterns in a Model for the Subthalamopallidal Network of the Basal Ganglia

Charles J. Wilson, J. Rubin, C. Wilson, 2002, The Journal of Neuroscience.

Calcium-activated nonspecific cation current and synaptic depression promote network-dependent burst oscillations

Jeffrey L. Mendenhall, J. Rubin, J. A. Hayes, 2009, Proceedings of the National Academy of Sciences.

Computational models of basal ganglia dysfunction: the dynamics is in the details

J. Rubin, 2017, Current Opinion in Neurobiology.

Thalamocortical relay fidelity varies across subthalamic nucleus deep brain stimulation protocols in a data-driven computational model.

C. McIntyre, J. Rubin, D. Terman, 2008, Journal of neurophysiology.

A dynamical systems analysis of afferent control in a neuromechanical model of locomotion: II. Phase asymmetry.

Lucy E. Spardy, B. Prilutsky, J. Rubin, 2011, Journal of neural engineering.

A dynamical systems analysis of afferent control in a neuromechanical model of locomotion: I. Rhythm generation

Lucy E. Spardy, B. Prilutsky, J. Rubin, 2011, Journal of neural engineering.

A dynamical systems analysis of afferent control in a neuro--mechanical model of locomotion

Lucy E. Spardy, B. Prilutsky, J. Rubin, 2010, BMC Neuroscience.

Multiple rhythmic states in a model of the respiratory central pattern generator.

G. Ermentrout, J. Rubin, I. Rybak, 2009, Journal of neurophysiology.

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

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

Principal components derived from CSF inflammatory profiles predict outcome in survivors after severe traumatic brain injury

J. Rubin, P. Kochanek, Raj G. Kumar, 2016, Brain, Behavior, and Immunity.

A mathematical model of neuroinflammation in severe clinical traumatic brain injury

J. Rubin, Raj G. Kumar, A. Wagner, 2018, Journal of Neuroinflammation.

A reduced mathematical model of the acute inflammatory response: I. Derivation of model and analysis of anti-inflammation.

J. Rubin, G. Clermont, Y. Vodovotz, 2006, Journal of theoretical biology.

Mechanistic simulations of inflammation: current state and future prospects.

Eberhard O Voit, Gary An, Yoram Vodovotz, 2009, Mathematical biosciences.

IN SILICO MODELS OF ACUTE INFLAMMATION IN ANIMALS

Gilles Clermont, Timothy R Billiar, Yoram Vodovotz, 2006, Shock.

A reduced mathematical model of the acute inflammatory response II. Capturing scenarios of repeated endotoxin administration.

J. Rubin, G. Clermont, Y. Vodovotz, 2006, Journal of theoretical biology.

In Silico and In Vivo Approach to Elucidate the Inflammatory Complexity of CD14-deficient Mice

J. Rubin, G. Clermont, Y. Vodovotz, 2006, Molecular medicine.

An ensemble of models of the acute inflammatory response to bacterial lipopolysaccharide in rats: results from parameter space reduction.

Gilles Clermont, Anirban Roy, Yoram Vodovotz, 2008, Journal of theoretical biology.

Translational Systems Approaches to the Biology of Inflammation and Healing

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

Modeling the interactions of bacteria and Toll-like receptor-mediated inflammation in necrotizing enterocolitis.

Yoram Vodovotz, Jonathan Rubin, Julia Arciero, 2013, Journal of theoretical biology.

Stability, bifurcations and edge oscillations in standing pulse solutions to an inhomogeneous reaction-diffusion system

J. Rubin, Jonathan Rubin, J. E. Rubin, 1999, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Auditory midbrain coding of statistical learning that results from discontinuous sensory stimulation

J. Rubin, Burak Gür, N. Strenzke, 2018, PLoS biology.

Putting the theory into ‘burstlet theory’ with a biophysical model of burstlets and bursts in the respiratory preBötzinger complex

Ryan S. Phillips, J. Rubin, 2022, eLife.

Mixed-mode oscillations and population bursting in the pre-Bötzinger complex

Bartholomew J. Bacak, J. Rubin, I. Rybak, 2016, eLife.

Short term synaptic depression with stochastic vesicle dynamics imposes a high-pass filter on presynaptic information

B. Doiron, J. Rubin, R. Rosenbaum, 2012, BMC Neuroscience.

Short-term synaptic depression and stochastic vesicle dynamics reduce and shape neuronal correlations.

B. Doiron, J. Rubin, R. Rosenbaum, 2013, Journal of neurophysiology.

Axonal and synaptic failure suppress the transfer of firing rate oscillations, synchrony and information during high frequency deep brain stimulation

B. Doiron, R. Turner, J. Rubin, 2014, Neurobiology of Disease.

Role of the Indirect Pathway of the Basal Ganglia in Perceptual Decision Making

Xiao-Jing Wang, J. Rubin, Wei Wei, 2015, The Journal of Neuroscience.

The spatial structure of correlated neuronal variability

M. A. Smith, A. Kohn, B. Doiron, 2016, Nature Neuroscience.

Basal ganglia activity patterns in parkinsonism and computational modeling of their downstream effects

C. McIntyre, R. Turner, J. Rubin, 2012, The European journal of neuroscience.

Pallidostriatal Projections Promote β Oscillations in a Dopamine-Depleted Biophysical Network Model

Jonathan E Rubin, Aryn H Gittis, J. Rubin, 2016, The Journal of Neuroscience.

Mathematical modeling in necrotizing enterocolitis--a new look at an ongoing problem.

Ivan Yotov, Ruben Zamora, Yoram Vodovotz, 2007, Journal of pediatric surgery.

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.

Neural activity during a simple reaching task in macaques is counter to gating and rebound in basal ganglia–thalamic communication

R. Turner, J. Rubin, Daisuke Kase, 2020, PLoS biology.

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

Brent Doiron, Jonathan Rubin, Pamela Reitsma, 2010, Front. Comput. Neurosci..

State-dependent rhythmogenesis and frequency control in a half-center locomotor CPG.

Jonathan E Rubin, Jessica Ausborn, Ilya A Rybak, 2018, Journal of neurophysiology.

Effects of noise on elliptic bursters

J. Rubin, D. Terman, Jianzhong Su, 2004 .

Traveling Wave Solutions in a Chain of Periodically Forced Coupled Nonlinear Oscillators

J. Rubin, P. Kevrekidis, A. Vainchtein, 2015, 1505.00208.

Geometric Singular Perturbation Analysis of Neuronal Dynamics

J. Rubin, D. Terman, Jonathan Rubin, 2002 .

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

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

Identification of affine dynamical systems from a single trajectory

J. Rubin, D. Swigon, Xiao-Ling Duan, 2020, Inverse Problems.

Tailoring inputs to achieve maximal neuronal firing

J. Rubin, Jiaoyan Wang, W. Costello, 2011, Journal of mathematical neuroscience.

The geometry of neuronal recruitment

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

Computational models of the neural control of breathing

J. Rubin, I. Rybak, Jeffrey C. Smith, 2017, Wiley interdisciplinary reviews. Systems biology and medicine.

A computational model for estimating recruitment of primary afferent fibers by intraneural stimulation in the dorsal root ganglia

D J Weber, J E Rubin, J A Hokanson, 2011, Journal of neural engineering.

Irregular activity arises as a natural consequence of synaptic inhibition.

J. Rubin, D. Terman, C. Diekman, 2013, Chaos.

Synchronisation hubs in the visual cortex may arise from strong rhythmic inhibition during gamma oscillations

Abigail C. Snyder, Shan Yu, D. Nikolic, 2013, The European journal of neuroscience.

Bursting induced by excitatory synaptic coupling in nonidentical conditional relaxation oscillators or square-wave bursters.

Jonathan E Rubin, J. Rubin, 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

stimulationwith temporally patterned deep brain Stimulus features underlying reduced tremor

W. Grill, M. Heinricher, J. Rubin, 2015 .

Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike-adding and chaos

J. Touboul, J. Rubin, A. Vidal, 2016, 1611.02740.

Latency of chromatic information in area V4

T. Moore, J. Rubin, Mindy H. Chang, 2014, Journal of Physiology-Paris.

Neural activity during a simple reaching task in macaques is counter to gating and rebound in basal ganglia-thalamic communication

R. Turner, J. Rubin, Daisuke Kase, 2019 .

A computational model explains and predicts substantia nigra pars reticulata responses to pallidal and striatal inputs

Ryan S. Phillips, J. Rubin, A. Gittis, 2020, bioRxiv.

The effects of chloride dynamics on substantia nigra pars reticulata responses to pallidal and striatal inputs

Ryan S. Phillips, J. Rubin, A. Gittis, 2020, eLife.

Protocols in a Data-Driven Computational Model Subthalamic Nucleus Deep Brain Stimulation Thalamocortical Relay Fidelity Varies Across

B. Hyland, C. McIntyre, M. Desmurget, 2015 .

Reduced computational modelling of Kölliker‐Fuse contributions to breathing patterns in Rett syndrome

J. Rubin, S. Wittman, A. Abdala, 2019, The Journal of physiology.

Strong interactions between spinal cord networks for locomotion and scratching.

Jonathan E Rubin, Lucy E. Spardy, Zhao-Zhe Hao, 2011, Journal of neurophysiology.

Dynamic decision policy reconfiguration under outcome uncertainty

Krista M Bond, J. Rubin, T. Verstynen, 2020, bioRxiv.

Activity-Dependent Synapses Coding of Temporal Information by

Henry Markram, Brent Doiron, Robert Rosenbaum, 2015 .

Computational Models of Deep Brain Stimulation (DBS)

C. McIntyre, J. Rubin, 2014, Encyclopedia of Computational Neuroscience.

Modeling and Hemofiltration Treatment of Acute Inflammation.

Justin S. Hogg, J. Rubin, S. Daun-Gruhn, 2016, Processes.

Using nonlinear model predictive control to find optimal therapeutic strategies to modulate inflammation

J. Rubin, G. Clermont, J. Day, 2011 .

Weak modulation of thalamic discharge by basal ganglia output in association with a reaching task

R. Turner, J. Rubin, Daisuke Kase, 2019 .

Paying Our Dues: The Role of Professional Societies in the Evolution of Mathematical Biology Education

Timothy D. Comar, J. Rubin, M. Greer, 2020, Bulletin of mathematical biology.

Complex bursting dynamics in an embryonic respiratory neuron model.

J. Rubin, Yangyang Wang, 2020, Chaos.

A model for the collective synchronization of flashing in Photinus carolinus

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

A closed model for the respiratory system in mammals

A. Ben-Tal, J. Rubin, I. Rybak, 2012, BMC Neuroscience.

Timescales and Mechanisms of Sigh-Like Bursting and Spiking in Models of Rhythmic Respiratory Neurons

J. Rubin, Yangyang Wang, 2017, Journal of mathematical neuroscience.

Interactions of solitary pulses of E. coli in a one-dimensional nutrient gradient

G. Ermentrout, J. Rubin, H. Salman, 2017, Physica D: Nonlinear Phenomena.

Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling

J. Rubin, Choongseok Park, 2022, SIAM Journal on Applied Dynamical Systems.

Endothelial Biomedicine: Equation-Based Models of Dynamic Biological Systems

J. Rubin, G. Clermont, Y. Vodovotz, 2007 .

On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers

J. Rubin, Benjamin Letson, 2022, SIAM J. Appl. Dyn. Syst..

A spiking computational model for striatal cholinergic interneurons

J. Rubin, M. Codianni, 2023, Brain Structure and Function.

A Phenomenological Calcium-Based Model of STDP

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

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

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

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.

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

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

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.

On the Importance of the Jacobian Determinant in Parameter Inference for Random Parameter and Random Measurement Error Models

David Swigon, Jonathan E. Rubin, Sven Zenker, 2019, SIAM/ASA J. Uncertain. Quantification.

Settling and asymptotic motion of aerosol particles in a cellular flow field

Christopher K. R. T. Jones, Martin R. Maxey, J. Rubin, 1995 .

Starobinskiĭ, correspondence of

Gilles Clermont, Judy Day, Jonathan Rubin, 2002 .

The credit assignment problem in cortico‐basal ganglia‐thalamic networks: A review, a problem and a possible solution

Timothy Verstynen, Catalina Vich, Matthew Clapp, 2020, The European journal of neuroscience.

Numerical optimization of coordinated reset stimulation for desynchronizing neuronal network dynamics

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

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

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

Equation-based models of dynamic biological systems.

Gilles Clermont, Jonathan Rubin, Yoram Vodovotz, 2008, Journal of critical care.

Identifiability of Linear and Linear-in-Parameters Dynamical Systems from a Single Trajectory

David Swigon, Jonathan E. Rubin, Shelby R. Stanhope, 2014, SIAM J. Appl. Dyn. Syst..

Direct complements of invariant lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions

J. Rubin, L. Rodman, A. Ran, 1993 .

Control in triphasic rhythmic neural systems: a comparative mechanistic analysis via infinitesimal local timing response curves

J. Rubin, P. Thomas, Zhuojun Yu, 2022, 2211.07834.

Irregular population cycles driven by environmental stochasticity and saddle crawlbys

Karen C. Abbott, D. Earn, P. Greenwood, 2022, Oikos.

Multi-timescale systems and fast-slow analysis.

Richard Bertram, Jonathan E Rubin, R. Bertram, 2017, Mathematical biosciences.

Explicit maps to predict activation order in multiphase rhythms of a coupled cell network

Jonathan E Rubin, David Terman, J. Rubin, 2012, Journal of mathematical neuroscience.

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

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

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.

Basal Ganglia: Overview

Jonathan Rubin, J. Rubin, 2014, Encyclopedia 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..

TOWARDS A MODEL BASED MEDICINE: A CLINICALLY MEANINGFUL APPROACH TO ILL-POSED INVERSE PROBLEMS IN QUANTITATIVE PHYSIOLOGY

J. Rubin, G. Clermont, S. Zenker, 2007 .

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..

From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses

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

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..

Mathematical modeling of energy consumption in the acute inflammatory response.

J. Rubin, G. Clermont, D. Swigon, 2019, Journal of theoretical biology.

Slow negative feedback enhances robustness of square-wave bursting

J. Rubin, B. Krauskopf, H. Osinga, 2023, Journal of Computational Neuroscience.

Dynamics of ramping bursts in a respiratory neuron model

Jonathan E Rubin, Ryan S. Phillips, Muhammad U. Abdulla, 2021, Journal of Computational Neuroscience.

Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations

J. Touboul, J. Rubin, A. Vidal, 2015, 1509.08282.

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

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

Surprising Effects of Synaptic Excitation

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

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..

Geometric Analysis of Population Rhythms in Synaptically Coupled Neuronal Networks

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

NMDA-induced burst firing in a model subthalamic nucleus neuron.

Jonathan E Rubin, J. Rubin, Shigeru Kubota, 2011, Journal of neurophysiology.

nucleus neuron NMDA-induced burst firing in a model subthalamic

J. Rubin, 2011 .

Bursting Activity Subthalamic Projection Neuron Rhythmic and Membrane Channel Interactions Underlying Rat

D. Willshaw, J. Rubin, Daisuke Kase, 2015 .

Robustness of Solutions of the Inverse Problem for Linear Dynamical Systems with Uncertain Data

David Swigon, S. Stanhope, Jonathan E. Rubin, 2017, SIAM/ASA J. Uncertain. Quantification.

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.

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..

Interaction of Canard and Singular Hopf Mechanisms in a Neural Model

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

Robustness of respiratory rhythm generation across dynamic regimes

Jonathan E Rubin, Jeffrey C Smith, J. Rubin, 2019, bioRxiv.

Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models

J. Touboul, JONATHAN RUBIN, JUSTYNA SIGNERSKA-RYNKOWSKA, 2020, SIAM J. Appl. Dyn. Syst..

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

Jonathan E. Rubin, J. Rubin, 2004 .

A variety of competitive properties arising from STDP incorporating metaplastic regulation

Shigeru Kubota, Tatsuo Kitajima, Takao Nakamura, 2010, Artificial Life and Robotics.

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.

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

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

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

Kyle Dunovan, Timothy Verstynen, Catalina Vich, 2018, bioRxiv.

The dynamics of a forced coupled network of active elements

G. Ermentrout, J. Rubin, Helen Parks, 2011 .

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

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

Delta Oscillations Are a Robust Biomarker of Dopamine Depletion Severity and Motor Dysfunction in Awake Mice.

J. Rubin, A. Gittis, A. Willard, 2020, Journal of neurophysiology.

Delta Oscillations Are a Robust Biomarker of Dopamine Depletion Severity and Motor Dysfunction in Awake Mice

J. Rubin, A. Gittis, A. Willard, 2020, bioRxiv.

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

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

Deep brain stimulation entrains local neuronal firing in human globus pallidus internus.

Jonathan E Rubin, Daniel R Cleary, Ashwin Viswanathan, 2013, Journal of neurophysiology.

Multiple Rhythmic States in a Model of the Respiratory CPG

G. Ermentrout, J. Rubin, I. Rybak, 2009 .

Numerical optimization of coordinated reset stimulation for desynchronizing neuronal network dynamics

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

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

Abigail C. Snyder, J. Rubin, 2015, Journal of mathematical neuroscience.

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

J E Rubin, J. Rubin, 2001, Network.

A mathematical model of neuroinflammation in severe clinical traumatic brain injury

J. Rubin, Raj G. Kumar, A. Wagner, 2018, Journal of Neuroinflammation.

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

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

Bifurcations and edge oscillations in the semiconductor Fabry-Pérot interferometer

J. Rubin, C. Jones, 1997 .

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.

Coherent Behavior in Neuronal Networks

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

Mathematical Simulations of Sepsis and Trauma

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

Analysis of Interacting Local Oscillation Mechanisms in Three-Timescale Systems

Theodore Vo, Benjamin Letson, Jonathan E. Rubin, 2017, SIAM J. Appl. Math..

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.

Optimal Intrinsic Dynamics for Bursting in a Three-Cell Network

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

The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network

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

LOR for Analysis of Periodic Dynamics: A One-Stop Shop Approach

Jonathan E. Rubin, Benjamin Letson, J. Rubin, 2020, SIAM J. Appl. Dyn. Syst..

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.

Quantitative modeling and analysis of bifurcation-induced bursting

J. Rubin, B. Krauskopf, H. Osinga, 2017, 1701.05685.

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

J. Rubin, Choongseok Park, 2013, Journal of Computational Neuroscience.

Emergent bursting in small networks of model conditional pacemakers in the pre-Bötzinger complex.

Jonathan E Rubin, J. Rubin, 2008, Advances in experimental medicine and biology.

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

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

Equilibrium properties of temporally asymmetric Hebbian plasticity.

Daniel D. Lee, H. Sompolinsky, J. Rubin, 2000, Physical review letters.

Predictions and experimental tests of a new biophysical model of the mammalian respiratory oscillator

Ryan S. Phillips, J. Rubin, Jeffrey C. Smith, 2021, bioRxiv.

Integrate-and-Fire-or-Burst Model Thalamocortical Relay Neurons and a Minimal Fourier Analysis of Sinusoidally Driven

S. Sherman, J. Rinzel, A. Fairhall, 2015 .

The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG

Silvia Daun, Jonathan E Rubin, Marcello G Codianni, 2020, Biological Cybernetics.

OSCILLATORY BURSTING MECHNISMS IN RESPIRATORY PACEMAKER NEURONS AND NETWORKS

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

Putting the theory into ‘burstlet theory’: A biophysical model of bursts and burstlets in the respiratory preBötzinger complex

Ryan S. Phillips, J. Rubin, 2021, bioRxiv.

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

J. Rubin, D. Terman, 2004, Journal of Computational Neuroscience.

Multiple timescale mixed bursting dynamics in a respiratory neuron model

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

Endothelial Biomedicine: Equation-Based Models of Dynamic Biological Systems

J. Rubin, G. Clermont, Y. Vodovotz, 2007 .

Synchronized Activity and Loss of Synchrony Among Heterogeneous Conditional Oscillators

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

Modeling the interactions of bacteria and Toll-like receptor-mediated inflammation in necrotizing enterocolitis.

J. Rubin, Y. Vodovotz, G. Bard Ermentrout, 2013, Journal of theoretical biology.

Deep brain stimulation entrains local neuronal firing in human globus pallidus internus.

M. Heinricher, J. Rubin, K. Burchiel, 2013, Journal of neurophysiology.

Short-term synaptic depression and stochastic vesicle dynamics reduce and shape neuronal correlations.

B. Doiron, J. Rubin, R. Rosenbaum, 2013, Journal of neurophysiology.

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

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

A dynamical systems analysis of afferent control in a neuromechanical model of locomotion: I. Rhythm generation

Lucy E. Spardy, B. Prilutsky, J. Rubin, 2011, Journal of neural engineering.

Sensitivity to Control Signals in Triphasic Rhythmic Neural Systems: A Comparative Mechanistic Analysis via Infinitesimal Local Timing Response Curves

J. Rubin, P. Thomas, Zhuojun Yu, 2022, Neural Computation.

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.

Threshold Selection for Brain Connectomes

J. Rubin, S. Iyengar, Joshua Cape, 2021, bioRxiv.