Geometric analysis of neuronal firing patterns in network models with fast inhibitory synapses. - Jonathan E. Rubin; David Terman (Neurocomputing, 1999)

Geometric Analysis of Population Rhythms in Synaptically Coupled Neuronal Networks. - Jonathan E. Rubin; David Terman (Neural Comput., 2000)

Synchronous rhythms in a model for the indirect pathway of the basal ganglia. - David Terman; Jonathan E. Rubin; Alice C. Yew; Charles J. Wilson (Neurocomputing, 2001)

Localized Bumps of Activity Sustained by Inhibition in a Two-Layer Thalamic Network. - Jonathan E. Rubin; David Terman; Carson C. Chow (J. Comput. Neurosci., 2001)

Synchronized Activity and Loss of Synchrony Among Heterogeneous Conditional Oscillators. - Jonathan E. Rubin; David Terman (SIAM J. Appl. Dyn. Syst., 2002)

Regular Traveling Waves in a One-Dimensional Network of Theta Neurons. - Bard Ermentrout; Jonathan E. Rubin; Remus Osan (SIAM J. Appl. Math., 2002)

The effect of spike redistribution in a reciprocally connected pair of neurons with spike timing-dependent plasticity. - Gerardina Hernández; Jonathan E. Rubin; Paul W. Munro (Neurocomputing, 2003)

Traveling waves in a one-dimensional integrate-and-fire neural network with finite support connectivity. - Remus Osan; Jonathan E. Rubin; Rodica Curtu; Bard Ermentrout (Neurocomputing, 2003)

High Frequency Stimulation of the Subthalamic Nucleus Eliminates Pathological Thalamic Rhythmicity in a Computational Model. - Jonathan E. Rubin; David Terman (J. Comput. Neurosci., 2004)

Analysis of a Canard Mechanism by Which Excitatory Synaptic Coupling Can Synchronize Neurons at Low Firing Frequencies. - Jonathan D. Drover; Jonathan E. Rubin; Jianzhong Su; Bard Ermentrout (SIAM J. Appl. Math., 2004)

Sustained Spatial Patterns of Activity in Neuronal Populations without Recurrent Excitation. - Jonathan E. Rubin; William C. Troy (SIAM J. Appl. Math., 2004)

Spike-timing dependent plasticity as a mechanism for ocular dominance shift. - Beth Ann Siegler; Maureen Ritchey; Jonathan E. Rubin (Neurocomputing, 2005)

Surprising Effects of Synaptic Excitation. - Jonathan E. Rubin (J. Comput. Neurosci., 2005)

The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network. - Janet Best; Alla Borisyuk; Jonathan E. Rubin; David Terman; Martin Wechselberger (SIAM J. Appl. Dyn. Syst., 2005)

Deriving Information about Architecture from Activity Patterns in Coupled Cell Systems. - Kresimir Josic; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2005)

Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. - Jonathan E. Rubin; Martin Wechselberger (Biol. Cybern., 2007)

The Firing of an Excitable Neuron in the Presence of Stochastic Trains of Strong Synaptic Inputs. - Jonathan E. Rubin; Kresimir Josic (Neural Comput., 2007)

From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses. - Sven Zenker; Jonathan E. Rubin; Gilles Clermont (PLoS Comput. Biol., 2007)

Burst synchronization. - Jonathan E. Rubin (Scholarpedia, 2007)

Control of oscillation periods and phase durations in half-center central pattern generators: a comparative mechanistic analysis. - Silvia Daun; Jonathan E. Rubin; Ilya A. Rybak (J. Comput. Neurosci., 2009)

Modulation of LTP/LTD balance in STDP by an activity-dependent feedback mechanism. - Shigeru Kubota; Jonathan E. Rubin; Tatsuo Kitajima (Neural Networks, 2009)

Competition Between Transients in the Rate of Approach to a Fixed Point. - Judy Day; Jonathan E. Rubin; Carson C. Chow (SIAM J. Appl. Dyn. Syst., 2009)

A variety of competitive properties arising from STDP incorporating metaplastic regulation. - Shigeru Kubota; Jonathan E. Rubin; Tatsuo Kitajima; Takao Nakamura (Artif. Life Robotics, 2010)

First return maps for the dynamics of synaptically coupled conditional bursters. - Evandro Manica; Georgi S. Medvedev; Jonathan E. Rubin (Biol. Cybern., 2010)

Optimal Intrinsic Dynamics for Bursting in a Three-Cell Network. - Justin R. Dunmyre; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2010)

Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function. - G. Bard Ermentrout; Jozsi Z. Jalics; Jonathan E. Rubin (SIAM J. Appl. Math., 2010)

The Interaction of Intrinsic Dynamics and Network Topology in Determining Network Burst Synchrony. - Chris Gaiteri; Jonathan E. Rubin (Frontiers Comput. Neurosci., 2011)

Correlation transfer from basal ganglia to thalamus in Parkinson's disease. - Pamela Reitsma; Brent Doiron; Jonathan E. Rubin (Frontiers Comput. Neurosci., 2011)

Interactions of persistent sodium and calcium-activated nonspecific cationic currents yield dynamically distinct bursting regimes in a model of respiratory neurons. - Justin R. Dunmyre; Christopher A. Del Negro; Jonathan E. Rubin (J. Comput. Neurosci., 2011)

Interacting oscillations in neural control of breathing: modeling and qualitative analysis. - Jonathan E. Rubin; Bartholomew J. Bacak; Yaroslav I. Molkov; Natalia Shevtsova; Jeffrey C. Smith; Ilya A. Rybak (J. Comput. Neurosci., 2011)

Multi-site stimulation of subthalamic nucleus diminishes thalamocortical relay errors in a biophysical network model. - Yixin Guo; Jonathan E. Rubin (Neural Networks, 2011)

Interaction of Canard and Singular Hopf Mechanisms in a Neural Model. - Rodica Curtu; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2011)

Short Term Synaptic Depression Imposes a Frequency Dependent Filter on Synaptic Information Transfer. - Robert Rosenbaum; Jonathan E. Rubin; Brent Doiron (PLoS Comput. Biol., 2012)

Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons. - Choongseok Park; Jonathan E. Rubin (J. Comput. Neurosci., 2013)

Locally Contractive Dynamics in Generalized Integrate-and-Fire Neurons. - Nicolas D. Jimenez; Stefan Mihalas; Richard Brown; Ernst Niebur; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2013)

A model for low-frequency bursts in subthalamic nucleus neurons. - Shigeru Kubota; Jonathan E. Rubin (J. Robotics Netw. Artif. Life, 2014)

Identifiability of Linear and Linear-in-Parameters Dynamical Systems from a Single Trajectory. - Shelby R. Stanhope; Jonathan E. Rubin; David Swigon (SIAM J. Appl. Dyn. Syst., 2014)

Degree switching and partitioning for enumerating graphs to arbitrary orders of accuracy. - David E. Burstein; Jonathan E. Rubin (CoRR, 2015)

Strategies to Maximize Burst Lengths in Rhythmic Anti-Phase Activity of Networks with Reciprocal Inhibition. - Amitabha Bose; Jonathan E. Rubin (Int. J. Bifurc. Chaos, 2015)

Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris-Lecar System. - Pingyu Nan; Yangyang Wang 002; Vivien Kirk; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2015)

Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model. - Kerry-Lyn Roberts; Jonathan E. Rubin; Martin Wechselberger (SIAM J. Appl. Dyn. Syst., 2015)

Multiple timescale mixed bursting dynamics in a respiratory neuron model. - Yangyang Wang 002; Jonathan E. Rubin (J. Comput. Neurosci., 2016)

Robustness of Solutions of the Inverse Problem for Linear Dynamical Systems with Uncertain Data. - Shelby R. Stanhope; Jonathan E. Rubin; David Swigon (SIAM/ASA J. Uncertain. Quantification, 2017)

Analysis of Interacting Local Oscillation Mechanisms in Three-Timescale Systems. - Benjamin Letson; Jonathan E. Rubin; Theodore Vo (SIAM J. Appl. Math., 2017)

Sufficient Conditions for Graphicality of Bidegree Sequences. - David E. Burstein; Jonathan E. Rubin (SIAM J. Discret. Math., 2017)

Numerical optimization of coordinated reset stimulation for desynchronizing neuronal network dynamics. - Shigeru Kubota; Jonathan E. Rubin (J. Comput. Neurosci., 2018)

A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane. - Benjamin Letson; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2018)

On the Importance of the Jacobian Determinant in Parameter Inference for Random Parameter and Random Measurement Error Models. - David Swigon; Shelby R. Stanhope; Sven Zenker; Jonathan E. Rubin (SIAM/ASA J. Uncertain. Quantification, 2019)

Reward-driven changes in striatal pathway competition shape evidence evaluation in decision-making. - Kyle Dunovan; Catalina Vich; Matthew Clapp; Timothy D. Verstynen; Jonathan E. Rubin (PLoS Comput. Biol., 2019)

Effects of persistent sodium current blockade in respiratory circuits depend on the pharmacological mechanism of action and network dynamics. - Ryan S. Phillips; Jonathan E. Rubin (PLoS Comput. Biol., 2019)

Robustness of respiratory rhythm generation across dynamic regimes. - Jonathan E. Rubin; Jeffrey C. Smith (PLoS Comput. Biol., 2019)

Correction: From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses. - Sven Zenker; Jonathan E. Rubin; Gilles Clermont (PLoS Comput. Biol., 2019)

The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG. - Marcello G. Codianni; Silvia Daun; Jonathan E. Rubin (Biol. Cybern., 2020)

Corticostriatal synaptic weight evolution in a two-alternative forced choice task: a computational study. - Catalina Vich; Kyle Dunovan; Timothy D. Verstynen; Jonathan E. Rubin (Commun. Nonlinear Sci. Numer. Simul., 2020)

LOR for Analysis of Periodic Dynamics: A One-Stop Shop Approach. - Benjamin Letson; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2020)

Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models. - Jonathan E. Rubin; Justyna Signerska-Rynkowska; Jonathan D. Touboul (SIAM J. Appl. Dyn. Syst., 2021)

Dynamics of ramping bursts in a respiratory neuron model. - Muhammad U. Abdulla; Ryan S. Phillips; Jonathan E. Rubin (J. Comput. Neurosci., 2022)

Identifying control ensembles for information processing within the cortico-basal ganglia-thalamic circuit. - Catalina Vich; Matthew Clapp; Jonathan E. Rubin; Timothy D. Verstynen (PLoS Comput. Biol., 2022)

On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers. - Benjamin Letson; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2022)

Transmission of delta band (0.5-4 Hz) oscillations from the globus pallidus to the substantia nigra pars reticulata in dopamine depletion. - Timothy C. Whalen; John E. Parker; Aryn H. Gittis; Jonathan E. Rubin (J. Comput. Neurosci., 2022)

Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling. - Choongseok Park; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2022)

Neuromorphic Networks using Nonlinear Mixed-feedback Multi-timescale Bio-mimetic Neurons. - Kangni Liu; Shahin Hashemkhani; Jonathan E. Rubin; Rajkumar Kubendran (ISCAS, 2023)

Slow negative feedback enhances robustness of square-wave bursting. - Sushmita Rose John; Bernd Krauskopf; Hinke M. Osinga; Jonathan E. Rubin (J. Comput. Neurosci., 2023)

Sensitivity to Control Signals in Triphasic Rhythmic Neural Systems: A Comparative Mechanistic Analysis via Infinitesimal Local Timing Response Curves. - Zhuojun Yu; Jonathan E. Rubin; Peter J. Thomas 001 (Neural Comput., 2023)

Threshold Selection for Brain Connectomes. - Nicholas D. Theis; Jonathan E. Rubin; Joshua Cape; Satish Iyengar; Konasale M. Prasad (Brain Connect., 2023)

BioNN: Bio-Mimetic Neural Networks on Hardware Using Nonlinear Multi-Timescale Mixed-Feedback Control for Neuromodulatory Bursting Rhythms. - Kangni Liu; Shahin Hashemkhani; Jonathan E. Rubin; Rajkumar Kubendran (IEEE J. Emerg. Sel. Topics Circuits Syst., 2023)

Introduction to the SIAP Special Section on the Life Sciences. - Simone Bianco; Jonathan E. Rubin (SIAM J. Appl. Math., 2024)

A Nonlinear Map Describing Relaxation to Cluster States in an Adapting Neuronal Network. - Ka Nap Tse; G. Bard Ermentrout; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2025)

Calculation of Expected Reward Rate in a Two-Alternative Decision Process. - Baram Sosis; Jonathan E. Rubin (SIAM J. Appl. Math., 2025)

Erratum for "Calculation of Expected Reward Rate in a Two-Alternative Decision Process", Siam J. Appl. Math., 2025; 85(2), 433-455. - Baram Sosis; Jonathan E. Rubin (SIAM J. Appl. Math., 2025)