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An active strain electromechanical model for cardiac tissue.

F Nobile1, A Quarteroni, R Ruiz-Baier

  • 1MOX—Modellistica e Calcolo Scientifico, Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, Italy.

International Journal for Numerical Methods in Biomedical Engineering
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Summary
This summary is machine-generated.

This study introduces a new computational model for cardiac electromechanics, simulating electrical signals and tissue deformation. The finite element method accurately captures key electromechanical coupling features in heart tissue.

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Area of Science:

  • Computational mechanics
  • Biomedical engineering
  • Applied mathematics

Background:

  • Cardiac tissue exhibits complex electromechanical coupling, essential for heart function.
  • Existing models often simplify the interplay between electrical propagation and mechanical deformation.
  • Understanding this coupling is crucial for diagnosing and treating cardiac conditions.

Purpose of the Study:

  • To develop and validate a novel finite element approximation for the electromechanical coupling in cardiac tissue.
  • To incorporate the active strain assumption and nonlinear elasticity into a unified mathematical framework.
  • To accurately model the influence of electrical activity on tissue mechanics.

Main Methods:

  • A finite element approximation was developed for a system of partial differential equations.
  • The model utilizes an active strain assumption with multiplicative decomposition of the deformation tensor.
  • Piecewise quadratic and linear finite elements were employed for different physical variables (displacement, pressure, electrical potentials).

Main Results:

  • The proposed model successfully captures key features of cardiac electromechanical coupling.
  • Numerical tests demonstrate the efficiency and accuracy of the developed finite element scheme.
  • The model integrates electrical propagation (bidomain/monodomain equations) with nonlinear elasticity.

Conclusions:

  • The developed finite element method provides an accurate and efficient tool for simulating cardiac electromechanics.
  • This model enhances our understanding of the interplay between electrical and mechanical processes in the heart.
  • The approach offers a robust framework for future investigations into cardiac electrophysiology and mechanics.