ArticleAnnals of biomedical engineering2007
Coupling of a 3D finite element model of cardiac ventricular mechanics to lumped systems models of the systemic and pulmonic circulation.
Article in Annals of biomedical engineering, 2007. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 118 papers.
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Who cites it
118 citing papers in PubMed.
- Efficient Multi-Fidelity Fluid-Structure Interaction Modeling for Pulsatile Blood Flow in Deformable Biological Tissues.Annals of biomedical engineering · 2026Article
- Post-MI Remodeling Mechanics of Left Ventricle: Microstructure-Informed Models, Identifiability, and Uncertainty for Patient-Specific Prediction.Bioengineering (Basel, Switzerland) · 2026Review
- A finite element computational framework coupling four-chamber heart mechanics with the systemic and pulmonary circulations.Research square · 2026Article
- Influence of arteries, vein and placenta interactions on the blood flow in the human umbilical cord.PloS one · 2026Article
- Article
- Building Digital Twins for Cardiovascular Health: From Principles to Clinical Impact.Journal of the American Heart Association · 2024Review
- A Modular Framework for Implicit 3D-0D Coupling in Cardiac Mechanics.Computer methods in applied mechanics and engineering · 2024Article
- Variational autoencoder-based neural electrocardiogram synthesis trained by FEM-based heart simulator.Cardiovascular digital health journal · 2024Article
- Simulation of coronary capillary transit time based on full vascular model of the heart.Computer methods and programs in biomedicine · 2024Article
- Understanding heterogeneous mechanisms of heart failure with preserved ejection fraction through cardiorenal mathematical modeling.PLoS computational biology · 2023Article
- Embedded Computational Heart Model for External Ventricular Assist Device Investigations.Cardiovascular engineering and technology · 2022Article
- An accurate, robust, and efficient finite element framework with applications to anisotropic, nearly and fully incompressible elasticity.Computer methods in applied mechanics and engineering · 2022Article
- A coupling strategy for a first 3D-1D model of the cardiovascular system to study the effects of pulse wave propagation on cardiac function.Computational mechanics · 2022Article
- A computationally efficient physiologically comprehensive 3D-0D closed-loop model of the heart and circulation.Computer methods in applied mechanics and engineering · 2021Article
- An application of a patient-specific cardiac simulator for the prediction of outcomes after mitral valve replacement: a pilot study.Journal of artificial organs : the official journal of the Japanese Society for Artificial Organs · 2021Article
- Precision medicine in human heart modeling : Perspectives, challenges, and opportunities.Biomechanics and modeling in mechanobiology · 2021Review
- The effect of left ventricular contractility on arterial hemodynamics: A model-based investigation.PloS one · 2021Article
- A Novel Pulmonary Valve Replacement Surgery Strategy Using Contracting Band for Patients With Repaired Tetralogy of Fallot: An MRI-Based Multipatient Modeling Study.Frontiers in bioengineering and biotechnology · 2021Article
- A Multiple Step Active Stiffness Integration Scheme to Couple a Stochastic Cross-Bridge Model and Continuum Mechanics for Uses in Both Basic Research and Clinical Applications of Heart Simulation.Frontiers in physiology · 2021Article
- Deep Learning Approaches to Surrogates for Solving the Diffusion Equation for Mechanistic Real-World Simulations.Frontiers in physiology · 2021Article
58 more citing papers are in PubMed but not listed here.
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Authors and funding
6 authors.
Funding
Abstract
In this study we present a novel, robust method to couple finite element (FE) models of cardiac mechanics to systems models of the circulation (CIRC), independent of cardiac phase. For each time step through a cardiac cycle, left and right ventricular pressures were calculated using ventricular compliances from the FE and CIRC models. These pressures served as boundary conditions in the FE and CIRC models. In succeeding steps, pressures were updated to minimize cavity volume error (FE minus CIRC volume) using Newton iterations. Coupling was achieved when a predefined criterion for the volume error was satisfied. Initial conditions for the multi-scale model were obtained by replacing the FE model with a varying elastance model, which takes into account direct ventricular interactions. Applying the coupling, a novel multi-scale model of the canine cardiovascular system was developed. Global hemodynamics and regional mechanics were calculated for multiple beats in two separate simulations with a left ventricular ischemic region and pulmonary artery constriction, respectively. After the interventions, global hemodynamics changed due to direct and indirect ventricular interactions, in agreement with previously published experimental results. The coupling method allows for simulations of multiple cardiac cycles for normal and pathophysiology, encompassing levels from cell to system.
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