Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: a numerical simulation approach
DOI10.1016/j.cnsns.2021.105961zbMath1473.65106OpenAlexW3180271055MaRDI QIDQ2246960
Kourosh Parand, Jamal Amani Rad, Mohammad Hemami
Publication date: 16 November 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105961
computer simulationnumerical approachmeshfreedesynchronizationRBF-FDlocal radial basis functionneural oscillator populationphase distribution control
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to biology (92-08) Biological rhythms and synchronization (92B25) Numerical radial basis function approximation (65D12)
Related Items (4)
Uses Software
Cites Work
- Unnamed Item
- Minimum energy desynchronizing control for coupled neurons
- Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form
- A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Chemical oscillations, waves, and turbulence
- Radial basis function methods for the Rosenau equation and other higher order PDEs
- The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
- Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method
- Radial basis function generated finite differences for option pricing problems
- A Hamilton-Jacobi-Bellman approach for termination of seizure-like bursting
- Phase reduction and phase-based optimal control for biological systems: a tutorial
- Optimal phase control of biological oscillators using augmented phase reduction
- A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method
- The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation
- Adaptive radial basis function methods for time dependent partial differential equations
- Compactly supported radial basis functions for shallow water equations.
- Comparison of three nonlinear seizure prediction methods by means of the seizure prediction characteristic
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Computing the survival probability density function in jump-diffusion models: a new approach based on radial basis functions
- The controller design of the epilepsy therapy apparatus
- A local radial basis function method for pricing options under the regime switching model
- Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures
- The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: the Crank-Nicolson scheme and the method of lines (MOL)
- Radial basis function partition of unity methods for pricing vanilla basket options
- A radial basis function (RBF)-finite difference (FD) method for the backward heat conduction problem
- Supervised learning algorithms for controlling underactuated dynamical systems
- The effect of network structure on desynchronization dynamics
- Phase distribution control of a population of oscillators
- Controlling epileptic seizures in a neural mass model
- Finite-time synchronization of uncertain coupled switched neural networks under asynchronous switching
- A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces
- Canards for a reduction of the Hodgkin-Huxley equations
- Stability analysis of Markov switched stochastic differential equations with both stable and unstable subsystems
- Simulating, Analyzing, and Animating Dynamical Systems
- Phase- and Center-Manifold Reductions for Large Populations of Coupled Oscillators with Application to Non-Locally Coupled Systems
- Efficient Simulation of the von Mises Distribution
- On the Phase Reduction and Response Dynamics of Neural Oscillator Populations
- Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
- Scattered Data Approximation
This page was built for publication: Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: a numerical simulation approach