Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: A numerical simulation approach

Hemami, Mohammad; Rad, Jamal Amani; Parand, Kourosh

doi:10.1016/j.cnsns.2021.105961

Cited by 9 publications

(4 citation statements)

References 57 publications

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“…where √ 2Dη(t) is a Gaussian white noise with zero mean and variance 2D affecting the control input. In addition, we consider the following equation for representing the dynamics of the probability distribution of oscillators [17,18].…”

Section: Problems and Backgroundmentioning

confidence: 99%

“…However, the initial distribution in this example is equivalent to a two-peaks distribution. According to the Von-Mises distribution, the multi-peaks distributions can be like a moving wave with a constant velocity which is derived from Von-Mises distribution modification as follows [17,18]:…”

Section: Defining Initial and Final Distributionmentioning

confidence: 99%

“…), and iteration number, respectively. Also, the desired control can define as a variable u. proposed control strategy that can desynchronize the neural oscillators by radial basis function generated finite difference method [18] with consuming about 1803 units of energy.…”

Section: Defining Initial and Final Distributionmentioning

confidence: 99%

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NPDS toolbox: Neural population (De) synchronization toolbox for MATLAB

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Section: Problems and Backgroundmentioning

confidence: 99%

Section: Defining Initial and Final Distributionmentioning

confidence: 99%

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NPDS toolbox: Neural population (De) synchronization toolbox for MATLAB

et al. 2022

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“…Consider the following example: proposed control strategy that can desynchronize the neural oscillators by radial basis function generated finite difference method [18] with consuming about 1803 units of energy.…”

Section: A User-defined Control Strategymentioning

confidence: 99%

NPDS Toolbox: Neural Population (De)Synchronization toolbox for Matlab

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Hemami²,

et al. 2021

Preprint

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The study of synchronous or asynchronous in (stochastic) neuronal populations is an important concept both in theory and in practice in neuroscience. The NPDS toolbox provides an interactive simulation platform for exploring such processes in Matlab looking through the lens of nonlinear dynamical systems. NPDS includes two main components: neural population (de)synchronization, and neural dynamics. One can investigate distribution controls on various neural models such as HH, FHN, RH, and Thalamic. Also, it supports many numerical approaches for simulation: finite-difference, pseudo-spectral, radial basis function, and Fourier methods. In addition, this toolbox can be used for population phase shifting and clustering.

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Exact operational matrices for rational Bernstein polynomials and its application for solving MHD problems

Salehi

Baharifard

Hossayni

et al. 2023

Math Methods in App Sciences

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In this paper, rational Bernstein polynomials on the semi‐infinite interval are adapted to solve a magnetohydrodynamic (MHD) problem. Also, the derivative, product, convert, and Galerkin exact operational matrices (EOMs) of these polynomials are produced. Using the spectral Galerkin method and the exact operational matrices (EOMs) of rational Bernstein polynomials, we solve the problem with high accuracy and speed, and we estimate an exponential convergence rate in this method. The problem is the flow of MHD micropolar over a moving plate with suction and injection boundary conditions. Comparing the results of the rational Bernstein Galerkin method with operational matrices and without operational matrices shows that the present method is faster than another method. Also, comparing the results of the rational Bernstein Galerkin method and rational Gegenbauer tau method shows that the present method is more accurate than another method.

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Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: A numerical simulation approach

Cited by 9 publications

References 57 publications

NPDS toolbox: Neural population (De) synchronization toolbox for MATLAB

NPDS toolbox: Neural population (De) synchronization toolbox for MATLAB

NPDS Toolbox: Neural Population (De)Synchronization toolbox for Matlab

Exact operational matrices for rational Bernstein polynomials and its application for solving MHD problems

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