Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures
From MaRDI portal
Publication:2004428
DOI10.1016/j.camwa.2019.06.011zbMath1443.92048OpenAlexW2949207802WikidataQ127679426 ScholiaQ127679426MaRDI QIDQ2004428
Jamal Amani Rad, Mohammad Hemami, Kourosh Parand
Publication date: 7 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.06.011
Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (7)
Anti-aliasing of gray-scale/color/outline images: looking through the lens of numerical approaches for PDE-based models ⋮ Efficient image denoising technique using the meshless method: investigation of operator splitting RBF collocation method for two anisotropic diffusion-based PDEs ⋮ Least squares support vector regression for differential equations on unbounded domains ⋮ A local scheme for numerical simulation of multi-dimensional dynamic quantum model: application to decision-making ⋮ A p‐adaptive, implicit‐explicit mixed finite element method for diffusion‐reaction problems ⋮ Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: a numerical simulation approach ⋮ A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions
- A meshless discrete Galerkin (MDG) method for the numerical solution of integral equations with logarithmic kernels
- The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation
- Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-D diffusion model
- Numerical solution of Burgers' equation with high order splitting methods
- Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov-Galerkin method
- Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- The evaluation of American options in a stochastic volatility model with jumps: an efficient finite element approach
- A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
- MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions
- A meshless method on non-Fickian flows with mixing length growth in porous media based on radial basis functions: a comparative study
- An improved meshless algorithm for a kind of fractional cable problem with error estimate
- Synchronization and control of coupled reaction-diffusion systems of the FitzHugh-Nagumo type
- Operator splitting methods for pricing American options under stochastic volatility
- Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options
- Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
- Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity
- Pseudospectral method of solution of the Fitzhugh-Nagumo equation
- Mathematical biology. Vol. 1: An introduction.
- Radial basis function methods for the Rosenau equation and other higher order PDEs
- A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination
- The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation
- Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type
- Numerical simulation of nonlinear coupled Burgers' equation through meshless radial point interpolation method
- Principles of brain functioning. A synergetic approach to brain activity, behavior and cognition
- A meshless method for solving nonlinear two-dimensional integral equations of the second kind on non-rectangular domains using radial basis functions with error analysis
- Computing the survival probability density function in jump-diffusion models: a new approach based on radial basis functions
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method
- Pricing European and American options with two stochastic factors: a highly efficient radial basis function approach
- Radial basis function partition of unity methods for pricing vanilla basket options
- High-order splitting methods for separable non-autonomous parabolic equations
- The parameter \(R^ 2\) in multiquadric interpolation
- An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue
- On choosing ``optimal shape parameters for RBF approximation
- A new framework of GPU-accelerated spectral solvers: collocation and Galerkin methods for systems of coupled elliptic equations
- Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations
- Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Time‐splitting procedures for the solution of the two‐dimensional transport equation
- THE EVALUATION OF AMERICAN OPTION PRICES UNDER STOCHASTIC VOLATILITY AND JUMP-DIFFUSION DYNAMICS USING THE METHOD OF LINES
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs
- A Componentwise Splitting Method for Pricing American Options Under the Bates Model
- Scattered Data Approximation
This page was built for publication: Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures
