CarNum: parallel numerical framework for computational cardiac electromechanics

Abstract A new parallel numerical framework CarNum is presented for efficient coupling of mathematical models in multiphysics problems such as computational cardiac electromechanics. This framework is based on open source projects, which provide the core functionality of the platform. Computational cardiac electromechanics requires a complex pipeline of solving different types of ordinary and partial differential equations. Our framework allows one to implement different numerical schemes and provides more control in multiphysics coupling. This paper outlines a concept of the new platform and details of numerical modelling of cardiac electromechanics. First experiments with well-known cardiac electromechanics benchmarks show good agreement with other groups and decent parallel scalability.

• Publication year

  2023

• Venue

  Russian Journal of Numerical Analysis and Mathematical Modelling

• Publication date

  2023-06-01

• Fields of study

  Not labeled

• Identifiers
  DOI 10.1515/rnam-2023-0011
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Data-Driven Constitutive Modeling via Conjugate Pairs and Response Functions

  2022cited by this paper
• An accurate, robust, and efficient finite element framework with applications to anisotropic, nearly and fully incompressible elasticity

  2021cited by this paper
• Automated constitutive modeling of isotropic hyperelasticity based on artificial neural networks

  2021cited by this paper
• Computationally efficient model of myocardial electromechanics for multiscale simulations

  2021cited by this paper
• In silico simulations reveal that RYR distribution affects the dynamics of calcium release in cardiac myocytes

  2021cited by this paper
• Parallel Finite Volume Computation on General Meshes

  2020cited by this paper
• Cardiac Mechano-Electric Coupling: Acute Effects of Mechanical Stimulation on Heart Rate and Rhythm.

  2020cited by this paper
• Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers

  2020cited by this paper
• Genetic algorithm-based personalized models of human cardiac action potential

  2019cited by this paper
• Mechano-calcium and mechano-electric feedbacks in the human cardiomyocyte analyzed in a mathematical model

  2019cited by this paper
• Breaking the state of the heart: meshless model for cardiac mechanics

  2019cited by this paper
• CasADi: a software framework for nonlinear optimization and optimal control

  2018cited by this paper
• Thirty Years of the Finite Volume Method for Solid Mechanics

  2018cited by this paper
• A simple model of cardiac muscle for multiscale simulation: Passive mechanics, crossbridge kinetics and calcium regulation.

  2017cited by this paper
• The importance of mechano-electrical feedback and inertia in cardiac electromechanics.

  2017cited by this paper
• Efficient computation of electrograms and ECGs in human whole heart simulations using a reaction-eikonal model

  2017cited by this paper
• An integrative appraisal of mechano-electric feedback mechanisms in the heart.

  2017cited by this paper
• Multiphysics and multiscale modelling, data–model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics

  2016cited by this paper
• Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour

  2015cited by this paper
• Verification of computational models of cardiac electro‐physiology

  2014cited by this paper
• Caveolae in ventricular myocytes are required for stretch-dependent conduction slowing.

  2014cited by this paper
• Orthotropic active strain models for the numerical simulation of cardiac biomechanics

  2012cited by this paper
• Active Stress vs. Active Strain in Mechanobiology: Constitutive Issues

  2012cited by this paper
• Verification of cardiac tissue electrophysiology simulators using an N-version benchmark

  2011cited by this paper
• Simulation of the Undiseased Human Cardiac Ventricular Action Potential: Model Formulation and Experimental Validation

  2011cited by this paper
• Electromechanics of the heart: a unified approach to the strongly coupled excitation–contraction problem

  2010cited by this paper
• Meshfree implementation of individualized active cardiac dynamics

  2010cited by this paper
• A novel computational model of the human ventricular action potential and Ca transient.

  2009cited by this paper
• Mathematical simulations of ligand-gated and cell-type specific effects on the action potential of human atrium.

  2008cited by this paper
• Changes in regional myocardial volume during the cardiac cycle: implications for transmural blood flow and cardiac structure.

  2008cited by this paper
• Approximate model of cooperative activation and crossbridge cycling in cardiac muscle using ordinary differential equations.

  2008cited by this paper
• Solvers for the cardiac bidomain equations.

  2008cited by this paper
• Simulation of steady state and transient cardiac muscle response experiments with a Huxley-based contraction model.

  2008cited by this paper
• Alternans and spiral breakup in a human ventricular tissue model.

  2006cited by this paper
• A quantitative analysis of cardiac myocyte relaxation: a simulation study.

  2006cited by this paper
• On the Passive Cardiac Conductivity

  2005cited by this paper
• Electromechanical model of excitable tissue to study reentrant cardiac arrhythmias.

  2004cited by this paper
• Review Paper: Continuum biomechanics of soft biological tissues

  2003cited by this paper
• Cardiac excitation–contraction coupling

  2002cited by this paper
• Modelling cardiac mechanical properties in three dimensions

  2001cited by this paper
• Regulation of contraction in striated muscle.

  2000cited by this paper
• Stiffness-distortion sarcomere model for muscle simulation.

  1999cited by this paper
• CVODE, a stiff/nonstiff ODE solver in C

  1996cited by this paper
• Mechanics of active contraction in cardiac muscle: Part II--Cylindrical models of the systolic left ventricle.

  1993cited by this paper
• Proposed Mechanism of Force Generation in Striated Muscle

  1971cited by this paper

• Numerical Study on Excitation–Contraction Waves in 3D Slab-Shaped Myocardium Sample with Heterogeneous Properties

  2025cites this paper
• Temporally and spatially segregated discretization for a coupled electromechanical myocardium model

  2024cites this paper