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Publications and Scholarly Work
Publications and Scholarly Work
Our publications span computational neuroscience, neural stimulation, dynamical systems, physiological control, machine learning, and data-driven modeling.
Selected Publications
Selected Publications
Representative framework from the associated publication.
Source: Olumuyiva and Kumar, American Control Conference, 2025
A. Olumuyiwa and G. Kumar
Proceedings of the American Control Conference, 2025
Introduces a proportional-integral feedback strategy for regulating synchronization in an excitatory–inhibitory neural network.
J. Schmalz, R. V. Quinarez, M. V. Kothare, and G. Kumar
Frontiers in Computational Neuroscience, 2023
Introduces the electrical and optogenetic Forced Temporal Spike-Time Stimulation strategies for suppressing seizure prevalence in a biophysically constrained in silico model of a neocortical-onset seizure.
Representative result from the associated publication.
Source: Schmalz et al., Frontiers in Computational Neuroscience, 2023
Representative framework from the associated publication.
Source: Branen et al., Frontiers in Physiology, 2022
A. Branen, Y. Yao, M. V. Kothare, B. Mahmoudi, and G. Kumar
Frontiers in Physiology, 2022
Introduces an efficient data-driven closed-loop control scheme integrating LSTM models with model predictive control to regulate the heart rate (HR) and the mean arterial blood pressure (MAP) in an in silico physiological model of a rat heart.
J. Schmalz and G. Kumar
Journal of Computational Neuroscience, 2022
Introduces a computational model, the first of its kind, to make quantitative predictions of the temporal dose-dependent modulation of high/low frequency stimulation-induced long-term potentiation/depression of hippocampal SC-CA1 synapses by various dopaminergic D1/D5 agonists.
Representative result from the associated publication.
Source: Schmalz et al., Journal of Computational Neuroscience, 2022
Representative result from the associated publication.
Source: Schmalz et al., Frontiers in Computational Neuroscience, 2019
J. Schmalz and G. Kumar
Frontiers in Computational Neuroscience, 2019
Introduces the original Forced Temporal-Spike Time Stimulation (FTSTS) strategy for controlling synchronization in E-I networks by harnessing synaptic plasticity.
Complete Publication List
Complete Publication List
Peer-Reviewed Journal Articles
Peer-Reviewed Journal Articles
2023
2023
Controlling Neocortical Epileptic Seizures using Forced Temporal Spike-Time Stimulation: An In Silico Computational Study
J. Schmalz, R. V. Quinarez, M. V. Kothare, and G. Kumar
Frontiers in Computational Neuroscience, 2023
2022
2022
Data Driven Control of Vagus Nerve Stimulation for the Cardiovascular System: An in silico Computational Study
A. Branen, Y. Yao, M. V. Kothare, B. Mahmoudi, and G. Kumar
Frontiers in Physiology, 2022
View publication → View Simulation code →
CONTROL-CORE: A Framework for Simulation and Design of Closed-Loop Peripheral Neuromodulation Control Systems
P. Kathiravelu, M. Arnold, J. Fleischer, Y. Yao, S. Awasthi, A. K. Goel, A. Branen, P. Sarikhani, G. Kumar, M. V. Kothare, and B. Mahmoudi
IEEE Access, 2022
2021
2021
A computational model of dopaminergic modulation of hippocampal Schaffer collateral-CA1 long-term plasticity
J. Schmalz and G. Kumar
Journal of Computational Neuroscience, 2021
View publication → View Simulation code →
2019
2019
Data-driven predictive modeling of neuronal dynamics using long short-term memory
B. Plaster and G. Kumar
Algorithms, 2019
Controlling synchronization of spiking neuronal networks by harnessing synaptic plasticity
J. Schmalz and G. Kumar
Frontiers in Computational Neuroscience, 2019
2018
2018
Sensitivity of linear systems to input orientation and novelty
G. Kumar, D. Menolascino, and S. Ching
Automatica, 2018
2016
2016
The geometry of plasticity-induced sensitization in isoinhibitory rate motifs
G. Kumar and S. Ching
Neural Computation, 2016
Designing closed-loop brain-machine interfaces using model predictive control
G. Kumar, M. V. Kothare, N. V. Thakor, M. H. Schieber, H. Pan, B. Ding, and W. Zhong
Technologies, 2016
A control-theoretic approach to neural pharmacology: Optimizing drug selection and dosing
G. Kumar, S. A. Kim, and S. Ching
Journal of Dynamic Systems, Measurement, and Control, 2016
2014
2014
Trapping Brownian Ensemble Optimally using Broadcast Stochastic Receding Horizon Control
G. Kumar and M. V. Kothare
Automatica, 2014
2013
2013
Broadcast stochastic receding horizon control of multi-agent systems
G. Kumar and M. V. Kothare
Automatica, 2013
On the continuous differentiability of inter-spike intervals of synaptically connected cortical spiking neurons in a neuronal network
G. Kumar and M. V. Kothare
Neural Computation, 2013
Conference Papers and Proceedings
Conference Papers and Proceedings
2025
2025
Proportional-Integral Controller-Based Deep Brain Stimulation Strategy for Controlling Excitatory–Inhibitory Network Synchronization
A. Olumuyiwa and G. Kumar
In Proceedings of the American Control Conference, 2025, Denver, CO, USA
2024
2024
Controllability-Constrained Deep Network Models for Enhanced Control of Dynamical Systems
S. Sharma, V. Makarenko, G. Kumar, and S. Tiomkin
In Proceedings of the American Control Conference, 2024, Toronto, ON, CANADA
2021
2021
Mapping Vagus Nerve Stimulation Parameters to Cardiac Physiology using Long Short-term Memory Network
A. Branen, Y. Yao, M. V. Kothare, B. Mahmoudi, and G. Kumar
In 43rd Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC), 2021, Virtual Conference
2015
2015
Designing Closed-Loop Brain-Machine Interfaces with Network of Spiking Neurons using MPC Strategy
H. Pan, B. Ding, W. Zhong, G. Kumar, and M. V. Kothare
In Proceedings of the American Control Conference, 2015, Chicago, IL, USA
Design of Optimally Sparse Dosing Strategies for Neural Pharmacology
G. Kumar and S. Ching
In Proceedings of the American Control Conference, 2015, Chicago, IL, USA
Controlling Linear Networks with Minimally Novel Inputs
G. Kumar, D. Menolascino, M. Kafashan, and S. Ching
In Proceedings of the American Control Conference, 2015, Chicago, IL, USA
2014
2014
Maximizing Relaxation Time in Oscillator Networks with Implications for Neurostimulation
G. Kumar and S. Ching
In 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2014, Chicago, IL, USA
2013
2013
Designing Closed-Loop Brain-Machine Interfaces using Optimal Receding Horizon Control
G. Kumar, M. H. Schieber, N. V. Thakor, and M. V. Kothare
In Proceedings of the American Control Conference, 2013, Washington, DC, USA
2011
2011
An optimal control problem in closed-loop neuroprostheses
G. Kumar, V. Aggarwal, N. V. Thakor, M. H. Schieber, and M. V. Kothare
In 50th IEEE Conference on Decision and Control and European Control Conference, 2011, Orlando, FL, USA
2010
2010
Optimal parameter estimation of the Izhikevich single neuron model using experimental inter-spike interval (ISI) data
G. Kumar, V. Aggarwal, N. V. Thakor, M. H. Schieber, and M. V. Kothare
In Proceedings of the American Control Conference, 2010, Baltimore, MD, USA
2009
2009
A study of a gun-turret assembly in an armored tank using model predictive control
G. Kumar, P. Tiwari, V. Marcopoli, and M. V. Kothare
In Proceedings of the American Control Conference, 2009, St. Louis, MO, USA
Invited Talks
Invited Talks
Neurostimulation of Brain Networks and Cardiovascular Systems
G. Kumar
EECS Graduate Seminar, UC Merced, April 14, 2023
Neurostimulation of Brain Networks and Cardiovascular Systems
G. Kumar
ECE Graduate Seminar, UC Santa Cruz, March 13, 2023
Closed-Loop Optimization of Vagus Nerve Stimulation for the Cardiovascular System: An in-silico Computational Study
G. Kumar
Wound Healing Society Science Symposium, UC Davis School of Medicine, October 27, 2022
Fusing Machine Learning with Model Predictive Control for Closed-Loop Vagus Nerve Stimulation of Cardiovascular Systems
G. Kumar
ChE Graduate Seminar, UC Davis, October 13, 2022
Books and Book Chapters
Books and Book Chapters
2016
2016
Control theory for closed-loop neurophysiology
G. Kumar, J. Ritt, and S. Ching
Editor: Ahmed EI Hady, Publisher: Elsevier
Conference Presentations
Conference Presentations
2025
2025
Closed-Loop Model Predictive Control of Pathological Beta-Oscillations in a Computational Model of Cortico-Basal Ganglia Circuit
J. Gu, D. Q. Tran, T. Giang, and G. Kumar
In the 2025 Society for Neuroscience annual meeting, San Diego, CA, USA, November 2025
Predicting Human Gait Events Onsets using Deep Neural Networks
T. Giang, D. Lee, H. F. Azgomi, D. D. Wang, and G. Kumar
In the 2025 Society for Neuroscience annual meeting, San Diego, CA, USA, November 2025
2024
2024
Closed-loop control-based deep brain stimulation for desynchronizing E-I networks
A. V. Olumuyiwa and G. Kumar
In the 2024 Society for Neuroscience annual meeting, Chicago, IL, USA, October 2024
2023
2023
Controlling Neocortical Epileptic Seizures using Forced Temporal Spike-Time Stimulation
A. Branen, M. V. Kothare, and G. Kumar
In the 2023 Computational Neuroscience Society Annual Meeting, Leipzig, Germany, July 2023
Forced temporal spiking timing stimulation to control frequency-specific oscillations in epileptic seizures: A computational study
R. V. Quinarez, M. V. Kothare, and G. Kumar
In the 5th International Brain Stimulation Conference, Lisbon, Portugal, February 2023
Neural Network Modeling of Vagus Nerve Stimulation in the in vivo Canine Cardiovascular System
A. Branen, S. Thakor, and G. Kumar
In the 2023 North American Neuromodulation Society Annual Meeting, Las Vegas, NV, USA, January 2023
2022
2022
Online Data-Driven Closed-Loop Model Predictive Control of Nonlinear Systems Using Artificial Neural Networks
A. Branen, M. V. Kothare, and G. Kumar
In the 2022 AICHE Annual Meeting, Phoenix, AZ, USA, November 2022
Experimental demonstration of Closed-loop Optimization of a single column pressure swing adsorption (PSA)-based oxygen concentrator using machine learning
Z. Chen, A. Branen, M. V. Kothare, and G. Kumar
In the 2022 AICHE Annual Meeting, Phoenix, AZ, USA, November 2022
Closed-Loop Optimization of Vagus Nerve Stimulation for the Cardiovascular System: An in-silico Computational Study
A. Branen and G. Kumar
In Wound Healing Society Science Symposium, UC Davis School of Medicine, CA, USA, October 2022
Affordable Low-Cost EEG Device for High Schoolers to Explore Neural Technologies
G. Kumar
In the 2022 ASEE/AIChE Summer School for Engineering Faculty, Colorado School of Mines, CO, USA, July 2022
2021
2021
Sparc: closed-loop optimization of vagus nerve stimulation for the cardiovascular system using long short-term memory neural network
A. Branen, Y. Yao, M. V. Kothare, B. Mahmoudi, and G. Kumar
In the 2021 Society for Neuroscience (SFN) Annual Meeting, Virtual, November 2021
Model Predictive Control of Vagus Nerve Stimulation in the Rat Cardiac System Using Long Short-Term Memory Network
A. Branen, Y. Yao, M. V. Kothare, B. Mahmoudi, and G. Kumar
In the 2022 AICHE Annual Meeting, Boston, MA, USA, November 2021
A computational model of the dopaminergic modulation of hippocampal Schaffer collateral-CA1 long-term plasticity
J. Schmalz and G. Kumar
In the 2021 Computational Neuroscience Society Annual Meeting, Virtual, July 2023 (Selected Oral Presentation)
Controlling Epileptic Seizures using Forced Temporal Spike-Time Stimulation
J. Schmalz, G. Kumar, and M. V. Kothare
In the 2020 Society for Neuroscience (SFN) Annual Meeting, Virtual, January 2021
2020
2020
Discovering Latent Dynamics Embedded in Large-Scale Neural Spiking Activity
B. Plaster, N. Hansen, and G. Kumar
In the 2020 AICHE Annual Meeting, San Francisco, CA, USA, November 2020
Computational Modeling to Understand the Spatiotemporal Cholinergic Modulation of Hippocampal Synaptic Plasticity
A. Branen and G. Kumar
In the 2020 AICHE Annual Meeting, San Francisco, CA, USA, November 2020
Spatiotemporal Dopaminergic Modulation of Schaffer Collateral-CA1 Plasticity: A Computational Modeling Approach
J. Schmalz and G. Kumar
In the 2020 AICHE Annual Meeting, San Francisco, CA, USA, November 2020
2019
2019
Spatiotemporal dopaminergic modulation of Schaffer collateral - CA1 plasticity: A computational modeling approach
J. Schmalz and G. Kumar
In the 2019 Society for Neuroscience (SFN) Annual Meeting, San Diego, CA, USA, October 2019
2018
2018
Disruption of homeostasis of the Basal Ganglia circuit in Parkinson’s disease
J. Schmalz and G. Kumar
In the 2018 Society for Neuroscience (SFN) Annual Meeting, San Diego, CA, USA, October 2018
Understanding the Basal Ganglia Dynamic Transition from the Healthy to the Parkinsonian State
J. Schmalz and G. Kumar
In the 2018 AICHE Annual Meeting, Pittsburgh, PA, USA, October 2018
Designing Stochastic Model Predictive Control-based Neural Interface to Restore Communication between Brain Regions
J. Schmalz and G. Kumar
In the 2018 AICHE Annual Meeting, Pittsburgh, PA, USA, October 2018
Restoring dynamics in spiking neuronal networks by harnessing plasticity
J. Schmalz and G. Kumar
In the 6th Minnesota Neuromodulation Symposium, Minneapolis, MN, USA, April 2018
2016
2016
Regularization-free synthesis of stable, information optimal plasticity rules in recurrent networks
S. Liu, G. Kumar, and S. Ching
In the Computational and Systems Neuroscience 2016 Meeting, Salt Lake City, UT, USA, March 2016
2015
2015
Plasticity-induced sensitization in recurrent E-I networks
G. Kumar and S. Ching
In the 2015 Society for Neuroscience (SFN) Annual Meeting, Chicago, IL, USA, October 2015
2014
2014
Measuring the Expressiveness of Plastic Neuronal Networks
G. Kumar and S. Ching
In the 2014 IEEE EMBS BRAIN Grand Challenges Conference, Washington, D.C., USA, November 2014
2013
2013
Designing closed-loop brain-machine interfaces using charge-balanced biphasic stimulating currents
G. Kumar, M. H. Schieber, N. V. Thakor, and M. V. Kothare
In the 2013 Society for Neuroscience (SFN) Annual Meeting, San Diego, CA, USA, November 2013
2012
2012
Regulating and trapping an ensemble of Brownian particles by broadcasting the stochastic receding horizon control policy
G. Kumar and M. V. Kothare
In the 2012 AICHE Annual Meeting, Pittsburgh, PA, USA, October 2012
A quantitative assessment of the Izhikevich neuron model against experimental data
G. Kumar, W. E. Schiesser, and M. V. Kothare
In the 2012 AICHE Annual Meeting, Pittsburgh, PA, USA, October 2012
2011
2011
Cortical neuronal network based neuroprosthetic finger control: A control theoretic approach
G. Kumar, N. V. Thakor, and M. V. Kothare
In the 2011 Society for Neuroscience (SFN) Annual Meeting, Washington, D.C., USA, November 2011
Control of a motor-intended neural prosthetic finger using a network of cortical motor neurons
G. Kumar, N. V. Thakor, and M. V. Kothare
In the 2011 AICHE Annual Meeting, Minneapolis, MN, USA, October 2011
2010
2010
A control approach towards closed-loop neural prosthesis
G. Kumar, V. Aggarwal, N. V. Thakor, M. H. Schieber, and M. V. Kothare
In the 2010 Society for Neuroscience (SFN) Annual Meeting, San Diego, CA, USA, November 2010
Optimal parameter estimation of stochastic Izhikevich single neuron model using experimental inter-spike interval data
G. Kumar, V. Aggarwal, N. V. Thakor, M. H. Schieber, and M. V. Kothare
In the 2010 AICHE Annual Meeting, Salt Lake City, UT, USA, November 2010
Design and control of a closed-loop neural prosthesis
G. Kumar, V. Aggarwal, N. V. Thakor, M. H. Schieber, and M. V. Kothare
In the 2010 AICHE Annual Meeting, Salt Lake City, UT, USA, November 2010
A mathematical theory of manipulating suspended multiple Brownian particles simultaneously in a solution
G. Kumar and M. V. Kothare
In the 2010 AICHE Annual Meeting, Salt Lake City, UT, USA, November 2010
2009
2009
Optimal control of closed-loop neural prostheses
G. Kumar, V. Aggarwal, N. V. Thakor, and M. V. Kothare
In the 2009 AICHE Annual Meeting, Nashville, TN, USA, November 2009
Broadcast model predictive control of multi-cellular system
G. Kumar and M. V. Kothare
CAST Plenary Session (Selected and Invited)
In the 2009 AICHE Annual Meeting, Nashville, TN, USA, November 2009
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