Jonathan E. Rubin

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 23

Top Topics

Dynamical Systems

Measurement Error

Top Venues

SIAM J. Appl. Dyn. Syst.

J. Comput. Neurosci.

PLoS Comput. Biol.

SIAM/ASA J. Uncertain. Quantification

Publications

Simone Bianco, Jonathan E. Rubin
Introduction to the SIAP Special Section on the Life Sciences. SIAM J. Appl. Math. 84 (3) (2024)
Zhuojun Yu, Jonathan E. Rubin, Peter J. Thomas
Sensitivity to Control Signals in Triphasic Rhythmic Neural Systems: A Comparative Mechanistic Analysis via Infinitesimal Local Timing Response Curves. Neural Comput. 35 (6) (2023)
Sushmita Rose John, Bernd Krauskopf, Hinke M. Osinga, Jonathan E. Rubin
Slow negative feedback enhances robustness of square-wave bursting. J. Comput. Neurosci. 51 (2) (2023)
Kangni Liu, Shahin Hashemkhani, Jonathan E. Rubin, Rajkumar Kubendran
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. 13 (4) (2023)
Muhammad U. Abdulla, Ryan S. Phillips, Jonathan E. Rubin
Dynamics of ramping bursts in a respiratory neuron model. J. Comput. Neurosci. 50 (2) (2022)
Choongseok Park, Jonathan E. Rubin
Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling. SIAM J. Appl. Dyn. Syst. 21 (3) (2022)
Timothy C. Whalen, John E. Parker, Aryn H. Gittis, Jonathan E. Rubin
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. 51 (3) (2022)
Benjamin Letson, Jonathan E. Rubin
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers. SIAM J. Appl. Dyn. Syst. 21 (4) (2022)
Catalina Vich, Matthew Clapp, Jonathan E. Rubin, Timothy D. Verstynen
Identifying control ensembles for information processing within the cortico-basal ganglia-thalamic circuit. PLoS Comput. Biol. 18 (6) (2022)
Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan D. Touboul
Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models. SIAM J. Appl. Dyn. Syst. 20 (2) (2021)
Benjamin Letson, Jonathan E. Rubin
LOR for Analysis of Periodic Dynamics: A One-Stop Shop Approach. SIAM J. Appl. Dyn. Syst. 19 (1) (2020)
Marcello G. Codianni, Silvia Daun, Jonathan E. Rubin
The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG. Biol. Cybern. 114 (6) (2020)
Catalina Vich, Kyle Dunovan, Timothy D. Verstynen, Jonathan E. Rubin
Corticostriatal synaptic weight evolution in a two-alternative forced choice task: a computational study. Commun. Nonlinear Sci. Numer. Simul. 82 (2020)
David Swigon, Shelby R. Stanhope, Sven Zenker, Jonathan E. Rubin
On the Importance of the Jacobian Determinant in Parameter Inference for Random Parameter and Random Measurement Error Models. SIAM/ASA J. Uncertain. Quantification 7 (3) (2019)
Sven Zenker, Jonathan E. Rubin, Gilles Clermont
Correction: From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses. PLoS Comput. Biol. 15 (6) (2019)
Ryan S. Phillips, Jonathan E. Rubin
Effects of persistent sodium current blockade in respiratory circuits depend on the pharmacological mechanism of action and network dynamics. PLoS Comput. Biol. 15 (8) (2019)
Jonathan E. Rubin, Jeffrey C. Smith
Robustness of respiratory rhythm generation across dynamic regimes. PLoS Comput. Biol. 15 (7) (2019)
Kyle Dunovan, Catalina Vich, Matthew Clapp, Timothy D. Verstynen, Jonathan E. Rubin
Reward-driven changes in striatal pathway competition shape evidence evaluation in decision-making. PLoS Comput. Biol. 15 (5) (2019)
Benjamin Letson, Jonathan E. Rubin
A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane. SIAM J. Appl. Dyn. Syst. 17 (4) (2018)
Shigeru Kubota, Jonathan E. Rubin
Numerical optimization of coordinated reset stimulation for desynchronizing neuronal network dynamics. J. Comput. Neurosci. 45 (1) (2018)
Shelby R. Stanhope, Jonathan E. Rubin, David Swigon
Robustness of Solutions of the Inverse Problem for Linear Dynamical Systems with Uncertain Data. SIAM/ASA J. Uncertain. Quantification 5 (1) (2017)
Benjamin Letson, Jonathan E. Rubin, Theodore Vo
Analysis of Interacting Local Oscillation Mechanisms in Three-Timescale Systems. SIAM J. Appl. Math. 77 (3) (2017)
Yangyang Wang, Jonathan E. Rubin
Multiple timescale mixed bursting dynamics in a respiratory neuron model. J. Comput. Neurosci. 41 (3) (2016)
Kerry-Lyn Roberts, Jonathan E. Rubin, Martin Wechselberger
Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model. SIAM J. Appl. Dyn. Syst. 14 (4) (2015)
Amitabha Bose, Jonathan E. Rubin
Strategies to Maximize Burst Lengths in Rhythmic Anti-Phase Activity of Networks with Reciprocal Inhibition. Int. J. Bifurc. Chaos 25 (7) (2015)
Pingyu Nan, Yangyang Wang, Vivien Kirk, Jonathan E. Rubin
Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris-Lecar System. SIAM J. Appl. Dyn. Syst. 14 (3) (2015)
Shigeru Kubota, Jonathan E. Rubin
A model for low-frequency bursts in subthalamic nucleus neurons. J. Robotics Netw. Artif. Life 1 (1) (2014)
Shelby R. Stanhope, Jonathan E. Rubin, David Swigon
Identifiability of Linear and Linear-in-Parameters Dynamical Systems from a Single Trajectory. SIAM J. Appl. Dyn. Syst. 13 (4) (2014)
Choongseok Park, Jonathan E. Rubin
Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons. J. Comput. Neurosci. 34 (2) (2013)
Nicolas D. Jimenez, Stefan Mihalas, Richard Brown, Ernst Niebur, Jonathan E. Rubin
Locally Contractive Dynamics in Generalized Integrate-and-Fire Neurons. SIAM J. Appl. Dyn. Syst. 12 (3) (2013)
Robert Rosenbaum, Jonathan E. Rubin, Brent Doiron
Short Term Synaptic Depression Imposes a Frequency Dependent Filter on Synaptic Information Transfer. PLoS Comput. Biol. 8 (6) (2012)
Pamela Reitsma, Brent Doiron, Jonathan E. Rubin
Correlation transfer from basal ganglia to thalamus in Parkinson's disease. Frontiers Comput. Neurosci. 5 (2011)
Justin R. Dunmyre, Christopher A. Del Negro, Jonathan E. Rubin
Interactions of persistent sodium and calcium-activated nonspecific cationic currents yield dynamically distinct bursting regimes in a model of respiratory neurons. J. Comput. Neurosci. 31 (2) (2011)
Chris Gaiteri, Jonathan E. Rubin
The Interaction of Intrinsic Dynamics and Network Topology in Determining Network Burst Synchrony. Frontiers Comput. Neurosci. 5 (2011)
Yixin Guo, Jonathan E. Rubin
Multi-site stimulation of subthalamic nucleus diminishes thalamocortical relay errors in a biophysical network model. Neural Networks 24 (6) (2011)
Rodica Curtu, Jonathan E. Rubin
Interaction of Canard and Singular Hopf Mechanisms in a Neural Model. SIAM J. Appl. Dyn. Syst. 10 (4) (2011)
Jonathan E. Rubin, Bartholomew J. Bacak, Yaroslav I. Molkov, Natalia Shevtsova, Jeffrey C. Smith, Ilya A. Rybak
Interacting oscillations in neural control of breathing: modeling and qualitative analysis. J. Comput. Neurosci. 30 (3) (2011)
G. Bard Ermentrout, Jozsi Z. Jalics, Jonathan E. Rubin
Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function. SIAM J. Appl. Math. 70 (8) (2010)
Evandro Manica, Georgi S. Medvedev, Jonathan E. Rubin
First return maps for the dynamics of synaptically coupled conditional bursters. Biol. Cybern. 103 (2) (2010)
Justin R. Dunmyre, Jonathan E. Rubin
Optimal Intrinsic Dynamics for Bursting in a Three-Cell Network. SIAM J. Appl. Dyn. Syst. 9 (1) (2010)
Shigeru Kubota, Jonathan E. Rubin, Tatsuo Kitajima, Takao Nakamura
A variety of competitive properties arising from STDP incorporating metaplastic regulation. Artif. Life Robotics 15 (2) (2010)
Silvia Daun, Jonathan E. Rubin, Ilya A. Rybak
Control of oscillation periods and phase durations in half-center central pattern generators: a comparative mechanistic analysis. J. Comput. Neurosci. 27 (1) (2009)
Shigeru Kubota, Jonathan E. Rubin, Tatsuo Kitajima
Modulation of LTP/LTD balance in STDP by an activity-dependent feedback mechanism. Neural Networks 22 (5-6) (2009)
Judy Day, Jonathan E. Rubin, Carson C. Chow
Competition Between Transients in the Rate of Approach to a Fixed Point. SIAM J. Appl. Dyn. Syst. 8 (4) (2009)
Jonathan E. Rubin, Kresimir Josic
The Firing of an Excitable Neuron in the Presence of Stochastic Trains of Strong Synaptic Inputs. Neural Comput. 19 (5) (2007)
Sven Zenker, Jonathan E. Rubin, Gilles Clermont
From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses. PLoS Comput. Biol. 3 (11) (2007)
Jonathan E. Rubin
Burst synchronization. Scholarpedia 2 (10) (2007)
Jonathan E. Rubin, Martin Wechselberger
Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. Biol. Cybern. 97 (1) (2007)
Jonathan E. Rubin
Surprising Effects of Synaptic Excitation. J. Comput. Neurosci. 18 (3) (2005)
Beth Ann Siegler, Maureen Ritchey, Jonathan E. Rubin
Spike-timing dependent plasticity as a mechanism for ocular dominance shift. Neurocomputing (2005)
Janet Best, Alla Borisyuk, Jonathan E. Rubin, David Terman, Martin Wechselberger
The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network. SIAM J. Appl. Dyn. Syst. 4 (4) (2005)
Kresimir Josic, Jonathan E. Rubin
Deriving Information about Architecture from Activity Patterns in Coupled Cell Systems. SIAM J. Appl. Dyn. Syst. 4 (1) (2005)
Jonathan E. Rubin, David Terman
High Frequency Stimulation of the Subthalamic Nucleus Eliminates Pathological Thalamic Rhythmicity in a Computational Model. J. Comput. Neurosci. 16 (3) (2004)
Jonathan D. Drover, Jonathan E. Rubin, Jianzhong Su, Bard Ermentrout
Analysis of a Canard Mechanism by Which Excitatory Synaptic Coupling Can Synchronize Neurons at Low Firing Frequencies. SIAM J. Appl. Math. 65 (1) (2004)
Jonathan E. Rubin, William C. Troy
Sustained Spatial Patterns of Activity in Neuronal Populations without Recurrent Excitation. SIAM J. Appl. Math. 64 (5) (2004)
Remus Osan, Jonathan E. Rubin, Rodica Curtu, Bard Ermentrout
Traveling waves in a one-dimensional integrate-and-fire neural network with finite support connectivity. Neurocomputing (2003)
Gerardina Hernández, Jonathan E. Rubin, Paul W. Munro
The effect of spike redistribution in a reciprocally connected pair of neurons with spike timing-dependent plasticity. Neurocomputing (2003)
Bard Ermentrout, Jonathan E. Rubin, Remus Osan
Regular Traveling Waves in a One-Dimensional Network of Theta Neurons. SIAM J. Appl. Math. 62 (4) (2002)
Jonathan E. Rubin, David Terman
Synchronized Activity and Loss of Synchrony Among Heterogeneous Conditional Oscillators. SIAM J. Appl. Dyn. Syst. 1 (1) (2002)
David Terman, Jonathan E. Rubin, Alice C. Yew, Charles J. Wilson
Synchronous rhythms in a model for the indirect pathway of the basal ganglia. Neurocomputing (2001)
Jonathan E. Rubin, David Terman, Carson C. Chow
Localized Bumps of Activity Sustained by Inhibition in a Two-Layer Thalamic Network. J. Comput. Neurosci. 10 (3) (2001)
Jonathan E. Rubin, David Terman
Geometric Analysis of Population Rhythms in Synaptically Coupled Neuronal Networks. Neural Comput. 12 (3) (2000)
Jonathan E. Rubin, David Terman
Geometric analysis of neuronal firing patterns in network models with fast inhibitory synapses. Neurocomputing (1999)