Optimal sparse boundary control of cardiac defibrillation

DOI10.1016/j.nonrwa.2023.103945zbMath1520.92036OpenAlexW4383041021MaRDI QIDQ6171345

Mostafa Bendahmane, Nagaiah Chamakuri, Manimaran J.

Publication date: 11 August 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2023.103945

zbMATH Keywords

cardiac defibrillation sparse boundary control \(L^1\)-\(L^2\) cost functional bidomain-bath equations Luo-Rudy phase I ionic model

Mathematics Subject Classification ID

Medical applications (general) (92C50) Physiology (general) (92C30) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Optimal control approach to termination of re-entry waves in cardiac electrophysiology
Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology
Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology
Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field
Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices
Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems
Primal-dual active set strategy for large scale optimization of cardiac defibrillation
Application of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamics
Numerical analysis for an optimal control of bidomain-bath model
Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions
Analysis of Spatio-Temporally Sparse Optimal Control Problems of Semilinear Parabolic Equations
Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations
Solvability analysis and numerical approximation of linearized cardiac electromechanics
Second Order and Stability Analysis for Optimal Sparse Control of the FitzHugh--Nagumo Equation
A 3D boundary optimal control for the bidomain-bath system modeling the thoracic shock therapy for cardiac defibrillation

This page was built for publication: Optimal sparse boundary control of cardiac defibrillation