Jonathan E. Rubin

Orcid: 0000-0002-1513-1551

According to our database1, Jonathan E. Rubin authored at least 63 papers between 1999 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


Online presence:



BioNN: Bio-Mimetic Neural Networks on Hardware Using Nonlinear Multi-Timescale Mixed-Feedback Control for Neuromodulatory Bursting Rhythms.
IEEE J. Emerg. Sel. Topics Circuits Syst., December, 2023

Sensitivity to Control Signals in Triphasic Rhythmic Neural Systems: A Comparative Mechanistic Analysis via Infinitesimal Local Timing Response Curves.
Neural Comput., June, 2023

Slow negative feedback enhances robustness of square-wave bursting.
J. Comput. Neurosci., May, 2023

Neuromorphic Networks using Nonlinear Mixed-feedback Multi-timescale Bio-mimetic Neurons.
Proceedings of the IEEE International Symposium on Circuits and Systems, 2023

Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling.
SIAM J. Appl. Dyn. Syst., September, 2022

Transmission of delta band (0.5-4 Hz) oscillations from the globus pallidus to the substantia nigra pars reticulata in dopamine depletion.
J. Comput. Neurosci., August, 2022

On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers.
SIAM J. Appl. Dyn. Syst., 2022

Identifying control ensembles for information processing within the cortico-basal ganglia-thalamic circuit.
PLoS Comput. Biol., 2022

Dynamics of ramping bursts in a respiratory neuron model.
J. Comput. Neurosci., 2022

Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models.
SIAM J. Appl. Dyn. Syst., 2021

LOR for Analysis of Periodic Dynamics: A One-Stop Shop Approach.
SIAM J. Appl. Dyn. Syst., 2020

Corticostriatal synaptic weight evolution in a two-alternative forced choice task: a computational study.
Commun. Nonlinear Sci. Numer. Simul., 2020

The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG.
Biol. Cybern., 2020

Correction: From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses.
PLoS Comput. Biol., 2019

Robustness of respiratory rhythm generation across dynamic regimes.
PLoS Comput. Biol., 2019

Effects of persistent sodium current blockade in respiratory circuits depend on the pharmacological mechanism of action and network dynamics.
PLoS Comput. Biol., 2019

Reward-driven changes in striatal pathway competition shape evidence evaluation in decision-making.
PLoS Comput. Biol., 2019

On the Importance of the Jacobian Determinant in Parameter Inference for Random Parameter and Random Measurement Error Models.
SIAM/ASA J. Uncertain. Quantification, 2019

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

Numerical optimization of coordinated reset stimulation for desynchronizing neuronal network dynamics.
J. Comput. Neurosci., 2018

Analysis of Interacting Local Oscillation Mechanisms in Three-Timescale Systems.
SIAM J. Appl. Math., 2017

Robustness of Solutions of the Inverse Problem for Linear Dynamical Systems with Uncertain Data.
SIAM/ASA J. Uncertain. Quantification, 2017

Multiple timescale mixed bursting dynamics in a respiratory neuron model.
J. Comput. Neurosci., 2016

Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model.
SIAM J. Appl. Dyn. Syst., 2015

Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris-Lecar System.
SIAM J. Appl. Dyn. Syst., 2015

Strategies to Maximize Burst Lengths in Rhythmic Anti-Phase Activity of Networks with Reciprocal Inhibition.
Int. J. Bifurc. Chaos, 2015

Identifiability of Linear and Linear-in-Parameters Dynamical Systems from a Single Trajectory.
SIAM J. Appl. Dyn. Syst., 2014

A model for low-frequency bursts in subthalamic nucleus neurons.
J. Robotics Netw. Artif. Life, 2014

Locally Contractive Dynamics in Generalized Integrate-and-Fire Neurons.
SIAM J. Appl. Dyn. Syst., 2013

Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons.
J. Comput. Neurosci., 2013

Short Term Synaptic Depression Imposes a Frequency Dependent Filter on Synaptic Information Transfer.
PLoS Comput. Biol., 2012

Interaction of Canard and Singular Hopf Mechanisms in a Neural Model.
SIAM J. Appl. Dyn. Syst., 2011

Multi-site stimulation of subthalamic nucleus diminishes thalamocortical relay errors in a biophysical network model.
Neural Networks, 2011

Interacting oscillations in neural control of breathing: modeling and qualitative analysis.
J. Comput. Neurosci., 2011

Interactions of persistent sodium and calcium-activated nonspecific cationic currents yield dynamically distinct bursting regimes in a model of respiratory neurons.
J. Comput. Neurosci., 2011

Correlation transfer from basal ganglia to thalamus in Parkinson's disease.
Frontiers Comput. Neurosci., 2011

The Interaction of Intrinsic Dynamics and Network Topology in Determining Network Burst Synchrony.
Frontiers Comput. Neurosci., 2011

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

Optimal Intrinsic Dynamics for Bursting in a Three-Cell Network.
SIAM J. Appl. Dyn. Syst., 2010

First return maps for the dynamics of synaptically coupled conditional bursters.
Biol. Cybern., 2010

A variety of competitive properties arising from STDP incorporating metaplastic regulation.
Artif. Life Robotics, 2010

Competition Between Transients in the Rate of Approach to a Fixed Point.
SIAM J. Appl. Dyn. Syst., 2009

Modulation of LTP/LTD balance in STDP by an activity-dependent feedback mechanism.
Neural Networks, 2009

Control of oscillation periods and phase durations in half-center central pattern generators: a comparative mechanistic analysis.
J. Comput. Neurosci., 2009

Burst synchronization.
Scholarpedia, 2007

From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses.
PLoS Comput. Biol., 2007

The Firing of an Excitable Neuron in the Presence of Stochastic Trains of Strong Synaptic Inputs.
Neural Comput., 2007

Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model.
Biol. Cybern., 2007

Deriving Information about Architecture from Activity Patterns in Coupled Cell Systems.
SIAM J. Appl. Dyn. Syst., 2005

The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network.
SIAM J. Appl. Dyn. Syst., 2005

Surprising Effects of Synaptic Excitation.
J. Comput. Neurosci., 2005

Spike-timing dependent plasticity as a mechanism for ocular dominance shift.
Neurocomputing, 2005

Sustained Spatial Patterns of Activity in Neuronal Populations without Recurrent Excitation.
SIAM J. Appl. Math., 2004

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

High Frequency Stimulation of the Subthalamic Nucleus Eliminates Pathological Thalamic Rhythmicity in a Computational Model.
J. Comput. Neurosci., 2004

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

The effect of spike redistribution in a reciprocally connected pair of neurons with spike timing-dependent plasticity.
Neurocomputing, 2003

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

Synchronized Activity and Loss of Synchrony Among Heterogeneous Conditional Oscillators.
SIAM J. Appl. Dyn. Syst., 2002

Localized Bumps of Activity Sustained by Inhibition in a Two-Layer Thalamic Network.
J. Comput. Neurosci., 2001

Synchronous rhythms in a model for the indirect pathway of the basal ganglia.
Neurocomputing, 2001

Geometric Analysis of Population Rhythms in Synaptically Coupled Neuronal Networks.
Neural Comput., 2000

Geometric analysis of neuronal firing patterns in network models with fast inhibitory synapses.
Neurocomputing, 1999