Estimation of cardiac conductivities in ventricular tissue by a variational approach

DOI10.1088/0266-5611/31/11/115001zbMath1328.65201OpenAlexW2270182610MaRDI QIDQ3458211

Huanhuan Yang, Alessandro Veneziani

Publication date: 18 December 2015

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/31/11/115001

zbMATH Keywords

bidomain modelvariational data assimilationcardiac conductivityminimal ventricular modelstate-dependent discontinuity

Mathematics Subject Classification ID

Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Biomechanical solid mechanics (74L15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (11)

Efficient estimation of cardiac conductivities: a proper generalized decomposition approach ⋮ Graph-based homogenisation for modelling cardiac fibrosis ⋮ The use of a simple model in the inverse characterization of cardiac ischemic regions ⋮ Geometric multiscale modeling of the cardiovascular system, between theory and practice ⋮ Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling ⋮ Reconstruction of flow domain boundaries from velocity data via multi-step optimization of distributed resistance ⋮ The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications ⋮ Sensitivity of a data-assimilation system for reconstructing three-dimensional cardiac electrical dynamics ⋮ Numerical sensitivity analysis of a variational data assimilation procedure for cardiac conductivities ⋮ Experimental validation of a variational data assimilation procedure for estimating space-dependent cardiac conductivities ⋮ Efficient estimation of cardiac conductivities via POD-DEIM model order reduction

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Optimal control of the bidomain system. II: Uniqueness and regularity theorems for weak solutions
• Preconditioning the bidomain model with almost linear complexity
• Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology
• A sensitivity study of conductivity values in the passive bidomain equation
• Discretization of Dirac delta functions in level set methods
• An a posteriori error estimator for model adaptivity in electrocardiology
• Boundary control of bidomain equations with state-dependent switching source functions in the ionic model
• Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field
• An efficient generalization of the Rush--Larsen method for solving electro-physiology membrane equations
• Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
• A model-based block-triangular preconditioner for the bidomain system in electrocardiology
• Minimal model for human ventricular action potentials in tissue
• Uncertainty quantification for data assimilation in a steady incompressible Navier-Stokes problem
• Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems
• A Variational Approach for Estimating the Compliance of the Cardiovascular Tissue: An Inverse Fluid-Structure Interaction Problem
• Perspectives in Flow Control and Optimization
• A model reduction approach for the variational estimation of vascular compliance by solving an inverse fluid–structure interaction problem
• Multilevel Additive Schwarz Preconditioners for the Bidomain Reaction-Diffusion System
• A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
• On the Finite Element Solution of the Pure Neumann Problem

This page was built for publication: Estimation of cardiac conductivities in ventricular tissue by a variational approach