ArticleIEEE transactions on bio-medical engineering2011
A macro finite-element formulation for cardiac electrophysiology simulations using hybrid unstructured grids.
Article in IEEE transactions on bio-medical engineering, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed.
- Population-based computational simulations elucidate mechanisms of focal arrhythmia following stem cell injection.Journal of molecular and cellular cardiology · 2025Article
- Parallelization of Three Dimensional Cardiac Simulation on GPU.Biomedicines · 2024Article
- Graft-host coupling changes can lead to engraftment arrhythmia: a computational study.The Journal of physiology · 2023Article
- Smeared Multiscale Finite Element Models for Mass Transport and Electrophysiology Coupled to Muscle Mechanics.Frontiers in bioengineering and biotechnology · 2019Article
- Assessment of wall stresses and mechanical heart power in the left ventricle: Finite element modeling versus Laplace analysis.International journal for numerical methods in biomedical engineering · 2018Article
- Towards a Computational Framework for Modeling the Impact of Aortic Coarctations Upon Left Ventricular Load.Frontiers in physiology · 2018Article
- Efficient computation of electrograms and ECGs in human whole heart simulations using a reaction-eikonal model.Journal of computational physics · 2017Article
- Anatomically accurate high resolution modeling of human whole heart electromechanics: A strongly scalable algebraic multigrid solver method for nonlinear deformation.Journal of computational physics · 2016Article
- Toward GPGPU accelerated human electromechanical cardiac simulations.International journal for numerical methods in biomedical engineering · 2014Article
- Modeling the dispersion in electromechanically coupled myocardium.International journal for numerical methods in biomedical engineering · 2013Article
- Electroanatomical characterization of atrial microfibrosis in a histologically detailed computer model.IEEE transactions on bio-medical engineering · 2013Article
- Tachycardia in post-infarction hearts: insights from 3D image-based ventricular models.PloS one · 2013Article
- Computational approaches to understand cardiac electrophysiology and arrhythmias.American journal of physiology. Heart and circulatory physiology · 2012Review
- Decomposition of fractionated local electrograms using an analytic signal model based on sigmoid functions.Biomedizinische Technik. Biomedical engineering · 2012Article
- Accelerating cardiac bidomain simulations using graphics processing units.IEEE transactions on bio-medical engineering · 2012Article
- Modeling defibrillation of the heart: approaches and insights.IEEE reviews in biomedical engineering · 2011Review
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Authors and funding
8 authors.
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Abstract
Electrical activity in cardiac tissue can be described by the bidomain equations whose solution for large-scale simulations still remains a computational challenge. Therefore, improvements in the discrete formulation of the problem, which decrease computational and/or memory demands are highly desirable. In this study, we propose a novel technique for computing shape functions of finite elements (FEs). The technique generates macro FEs (MFEs) based on the local decomposition of elements into tetrahedral subelements with linear shape functions. Such an approach necessitates the direct use of hybrid meshes (HMs) composed of different types of elements. MFEs are compared to classic standard FEs with respect to accuracy and RAM memory usage under different scenarios of cardiac modeling, including bidomain and monodomain simulations in 2-D and 3-D for simple and complex tissue geometries. In problems with analytical solutions, MFEs displayed the same numerical accuracy of standard linear triangular and tetrahedral elements. In propagation simulations, conduction velocity and activation times agreed very well with those computed with standard FEs. However, MFEs offer a significant decrease in memory requirements. We conclude that HMs composed of MFEs are well suited for solving problems in cardiac computational electrophysiology.
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