Minimum energy desynchronizing control for coupled neurons

A Nabi, M Mirzadeh, F Gibou, J Moehlis - Journal of computational …, 2013 - Springer
We employ optimal control theory to design an event-based, minimum energy,
desynchronizing control stimulus for a network of pathologically synchronized …

Single input optimal control for globally coupled neuron networks

A Nabi, J Moehlis - Journal of neural engineering, 2011 - iopscience.iop.org
We consider the problem of desynchronizing a network of synchronized, globally (all-to-all)
coupled neurons using an input to a single neuron. This is done by applying the discrete …

Minimum energy control for in vitro neurons

A Nabi, T Stigen, J Moehlis… - Journal of neural …, 2013 - iopscience.iop.org
Objective. To demonstrate the applicability of optimal control theory for designing minimum
energy charge-balanced input waveforms for single periodically-firing in vitro neurons from …

Time optimal control of spiking neurons

A Nabi, J Moehlis - Journal of mathematical biology, 2012 - Springer
By injecting an electrical current control stimulus into a neuron, one can change its inter-
spike intervals. In this paper, we investigate the time optimal control problem for periodically …

Phase distribution control of a population of oscillators

B Monga, J Moehlis - Physica D: Nonlinear Phenomena, 2019 - Elsevier
The collective behavior of biological oscillators has been recognized as an important
problem for several decades, but its control has come into limelight only recently. Much of …

Synchronizing and desynchronizing neural populations through phase distribution control

B Monga, G Froyland, J Moehlis - 2018 Annual American …, 2018 - ieeexplore.ieee.org
In this article, we devise two related control algorithms to change the degree of synchrony of
a population of noise-free, identical, uncoupled neural oscillators using a single control …

On phase response function based decentralized phase desynchronization

H Gao, Y Wang - IEEE Transactions on Signal Processing, 2017 - ieeexplore.ieee.org
Desynchronization is a powerful tool to achieve round-robin scheduling, which is crucial in
applications as diverse as media access control of communication networks, realization of …

Robust asymptotic stability of desynchronization in impulse-coupled oscillators

S Phillips, RG Sanfelice - IEEE Transactions on Control of …, 2015 - ieeexplore.ieee.org
The property of desynchronization in an all-to-all network of homogeneous impulse-coupled
oscillators is studied. Each impulse-coupled oscillator is modeled as a hybrid system with a …

Results on the asymptotic stability properties of desynchronization in impulse-coupled oscillators

S Phillips, RG Sanfelice - 2013 American Control Conference, 2013 - ieeexplore.ieee.org
The property of desynchronization in impulse-coupled oscillators is studied. Each impulsive
oscillator is modeled as a hybrid system with a single timer state that self-resets to zero …

Minimum energy spike randomization for neurons

A Nabi, M Mirzadeh, F Gibou… - 2012 American Control …, 2012 - ieeexplore.ieee.org
With inspiration from Arthur Winfree's idea of randomizing the phase of an oscillator by
driving its state to a set in which the phase is not defined, ie, the phaseless set, we employ a …