ArticleComputer methods in applied mechanics and engineering2013
A fully implicit finite element method for bidomain models of cardiac electromechanics.
Article in Computer methods in applied mechanics and engineering, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Article
- A comprehensive mathematical model for cardiac perfusion.Scientific reports · 2023Article
- How viscous is the beating heart?: Insights from a computational study.Computational mechanics · 2022Article
- Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence-uniqueness, finite element computation and application to multiple ischemic disease.Journal of mathematical biology · 2022Article
- Structural Responses of Integrated Parametric Aortic Valve in an Electro-Mechanical Full Heart Model.Annals of biomedical engineering · 2021Article
- Machine learning in drug development: Characterizing the effect of 30 drugs on the QT interval using Gaussian process regression, sensitivity analysis, and uncertainty quantification.Computer methods in applied mechanics and engineering · 2019Article
- Interaction of the Mechano-Electrical Feedback With Passive Mechanical Models on a 3D Rat Left Ventricle: A Computational Study.Frontiers in physiology · 2019Article
- Smeared Multiscale Finite Element Models for Mass Transport and Electrophysiology Coupled to Muscle Mechanics.Frontiers in bioengineering and biotechnology · 2019Article
- A Numerical Study of Scalable Cardiac Electro-Mechanical Solvers on HPC Architectures.Frontiers in physiology · 2018Article
- The importance of mechano-electrical feedback and inertia in cardiac electromechanics.Computer methods in applied mechanics and engineering · 2017Article
- Generating Purkinje networks in the human heart.Journal of biomechanics · 2016Article
- Improving the stability of cardiac mechanical simulations.IEEE transactions on bio-medical engineering · 2015Article
- The Generalized Hill Model: A Kinematic Approach Towards Active Muscle Contraction.Journal of the mechanics and physics of solids · 2014Article
- The Living Heart Project: A robust and integrative simulator for human heart function.European journal of mechanics. A, Solids · 2014Article
- Computational modeling of chemo-electro-mechanical coupling: a novel implicit monolithic finite element approach.International journal for numerical methods in biomedical engineering · 2013Article
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Authors and funding
4 authors.
Funding
Abstract
We propose a novel, monolithic, and unconditionally stable finite element algorithm for the bidomain-based approach to cardiac electromechanics. We introduce the transmembrane potential, the extracellular potential, and the displacement field as independent variables, and extend the common two-field bidomain formulation of electrophysiology to a three-field formulation of electromechanics. The intrinsic coupling arises from both excitation-induced contraction of cardiac cells and the deformation-induced generation of intra-cellular currents. The coupled reaction-diffusion equations of the electrical problem and the momentum balance of the mechanical problem are recast into their weak forms through a conventional isoparametric Galerkin approach. As a novel aspect, we propose a monolithic approach to solve the governing equations of excitation-contraction coupling in a fully coupled, implicit sense. We demonstrate the consistent linearization of the resulting set of non-linear residual equations. To assess the algorithmic performance, we illustrate characteristic features by means of representative three-dimensional initial-boundary value problems. The proposed algorithm may open new avenues to patient specific therapy design by circumventing stability and convergence issues inherent to conventional staggered solution schemes.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.