An oscillation-free fully staggered algorithm for velocity-dependent active models of cardiac mechanics

DOI10.1016/j.cma.2020.113506zbMath1506.74213OpenAlexW3097170776MaRDI QIDQ2020821

Francesco Regazzoni, Alfio M. Quarteroni

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113506

zbMATH Keywords

numerical stabilitymathematical modelingmultiscale modelingcoupled problemscardiac modelingactive stress

Mathematics Subject Classification ID

Medical applications (general) (92C50) Biomechanical solid mechanics (74L15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

• Unnamed Item
• Unnamed Item
• Computational model of three-dimensional cardiac electromechanics
• A distribution-moment approximation for kinetic theories of muscular contraction
• Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics
• Sensitivity analysis of a strongly-coupled human-based electromechanical cardiac model: effect of mechanical parameters on physiologically relevant biomarkers
• A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle
• Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function
• Soft tissue modelling of cardiac fibres for use in coupled mechano-electric simulations
• Mathematical cardiac electrophysiology
• Segregated Algorithms for the Numerical Simulation of Cardiac Electromechanics in the Left Human Ventricle
• Mathematical Modelling of the Human Cardiovascular System
• Computational electrocardiology: mathematical and numerical modeling
• Multiscale computational modelling of the heart
• Multiscale Heart Simulation with Cooperative Stochastic Cross-Bridge Dynamics and Cellular Structures
• Cardiac Electromechanics: The Effect of Contraction Model on the Mathematical Problem and Accuracy of the Numerical Scheme
• Nonlinear problems of elasticity