ArticleInternational journal for numerical methods in biomedical engineering2013
Computational modeling of chemo-electro-mechanical coupling: a novel implicit monolithic finite element approach.
Article in International journal for numerical methods in biomedical engineering, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 36 papers.
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Who cites it
36 citing papers in PubMed, 54 citations in OpenAlex.
- Constitutive discovery in the living human heart.bioRxiv : the preprint server for biology · 2026Article
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- Assessing post-TAVR cardiac conduction abnormalities risk using an electromechanically coupled beating heart.Biomechanics and modeling in mechanobiology · 2025Article
- Multi-Source Data and Knowledge Fusion via Deep Learning for Dynamical Systems: Applications to Spatiotemporal Cardiac Modeling.IISE transactions on healthcare systems engineering · 2025Article
- A Physics-Informed Deep Learning Deformable Medical Image Registration Method Based on Neural ODEs.International journal of computer vision · 2025Article
- Fast interactive simulations of cardiac electrical activity in anatomically accurate heart structures by compressing sparse uniform cartesian grids.Computer methods and programs in biomedicine · 2024Article
- Effects of cardiac growth on electrical dyssynchrony in the single ventricle patient.Computer methods in biomechanics and biomedical engineering · 2024Article
- How viscous is the beating heart?: Insights from a computational study.Computational mechanics · 2022Article
- Material property alterations for phenotypes of heart failure with preserved ejection fraction: A numerical study of subject-specific porcine models.Frontiers in bioengineering and biotechnology · 2022Article
- Right ventricular myocardial mechanics: Multi-modal deformation, microstructure, modeling, and comparison to the left ventricle.Acta biomaterialia · 2021Article
- Sex Differences in Drug-Induced Arrhythmogenesis.Frontiers in physiology · 2021Article
- Classifying Drugs by their Arrhythmogenic Risk Using Machine Learning.Biophysical journal · 2020Article
- Analysis of Cardiac Amyloidosis Progression Using Model-Based Markers.Frontiers in physiology · 2020Article
- Predicting critical drug concentrations and torsadogenic risk using a multiscale exposure-response simulator.Progress in biophysics and molecular biology · 2019Article
- 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
- Computational Multiscale Solvers for Continuum Approaches.Materials (Basel, Switzerland) · 2019Review
- Intramyocardial Injections to De-Stiffen the Heart: A Subject-Specific in Silico Approach.Molecular & cellular biomechanics : MCB · 2019Article
- Interaction of the Mechano-Electrical Feedback With Passive Mechanical Models on a 3D Rat Left Ventricle: A Computational Study.Frontiers in physiology · 2019Article
- Predicting the cardiac toxicity of drugs using a novel multiscale exposure-response simulator.Computer methods in biomechanics and biomedical engineering · 2018Article
- An integrated inverse model-experimental approach to determine soft tissue three-dimensional constitutive parameters: application to post-infarcted myocardium.Biomechanics and modeling in mechanobiology · 2018Article
Corrections and comments
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Authors and funding
3 authors at 1 institution in 1 country.
Funding
Abstract
Computational modeling of the human heart allows us to predict how chemical, electrical, and mechanical fields interact throughout a cardiac cycle. Pharmacological treatment of cardiac disease has advanced significantly over the past decades, yet it remains unclear how the local biochemistry of an individual heart cell translates into global cardiac function. Here, we propose a novel, unified strategy to simulate excitable biological systems across three biological scales. To discretize the governing chemical, electrical, and mechanical equations in space, we propose a monolithic finite element scheme. We apply a highly efficient and inherently modular global-local split, in which the deformation and the transmembrane potential are introduced globally as nodal degrees of freedom, whereas the chemical state variables are treated locally as internal variables. To ensure unconditional algorithmic stability, we apply an implicit backward Euler finite difference scheme to discretize the resulting system in time. To increase algorithmic robustness and guarantee optimal quadratic convergence, we suggest an incremental iterative Newton-Raphson scheme. The proposed algorithm allows us to simulate the interaction of chemical, electrical, and mechanical fields during a representative cardiac cycle on a patient-specific geometry, robust and stable, with calculation times on the order of 4 days on a standard desktop computer.
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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.