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Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction

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Published on: February 13, 2021

A numerical method for cardiac mechanoelectric simulations.

Pras Pathmanathan¹, Jonathan P Whiteley

¹Computing Laboratory, University of Oxford, Wolfson Building, Parks Road, Oxford, OX1 3QD, UK.

Annals of Biomedical Engineering

|March 6, 2009

Summary

This summary is machine-generated.

Developing stable numerical methods for cardiac mechanoelectric simulations is crucial. This study presents a stable scheme, finding that accurate tissue deformation requires finer meshes than previously thought, impacting computational efficiency.

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Last Updated: Jun 25, 2026

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Area of Science:

Computational biology
Biophysics
Medical imaging

Background:

Cardiac electrophysiology is modeled by monodomain and bidomain equations.
Few studies address numerical techniques for mechanoelectric simulations, coupling electrophysiology with tissue deformation.
Instability is a common issue in coupled mechanoelectric simulation schemes.

Purpose of the Study:

To develop a stable numerical scheme for mechanoelectric simulations.
To assess the mesh resolution required for accurate computation of cardiac tissue deformation.

Main Methods:

A stable numerical scheme for mechanoelectric simulations was developed.
Convergence tests were performed using the stable scheme for simulations of typical cardiac deformations.

Main Results:

The developed numerical scheme demonstrated stability for mechanoelectric simulations.
Accurate computation of cardiac tissue deformation necessitates a nodal spacing of approximately 1 mm.
This requirement for finer mesh resolution has implications for computational efficiency.

Conclusions:

A stable numerical scheme for cardiac mechanoelectric simulations has been successfully developed.
The findings highlight the need for finer computational grids than previously recognized for accurate tissue deformation modeling.
The study underscores the trade-offs between accuracy and computational efficiency in mechanoelectric modeling.