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Activation Models for the Numerical Simulation of Cardiac Electromechanical Interactions

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Computer Models in Biomechanics

Abstract

This contribution addresses the mathematical modeling and numerical approximation of the excitation-contraction coupling mechanisms in the heart. The main physiological issues are preliminarily sketched along with an extended overview to the relevant literature. Then we focus on the existing models for the electromechanical interaction, paying special attention to the active strain formulation that provides the link between mechanical response and electrophysiology. We further provide some critical insight on the expected mathematical properties of the model, the ability to provide physiological results, the accuracy and computational cost of the numerical simulations. This chapter ends with a numerical experiment studying the electromechanical coupling on the anisotropic myocardial tissue.

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Notes

  1. 1.

    http://hpc-dit.epfl.ch/clusters/callisto.php.

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Acknowledgements

The support by the European Research Council through the grant ‘Mathcard, Mathematical Modelling and Simulation of the Cardiovascular System’, ERC-2008-AdG 227058 is gratefully acknowledged.

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Authors and Affiliations

  1. CMCS-MATHICSE-SB, Ecole Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland

    Ricardo Ruiz-Baier, Simone Rossi & Alfio Quarteroni

  2. MOX—Politecnico de Milano, piazza Leonardo da Vinci 32, 20133, Milano, Italy

    Davide Ambrosi, Simone Pezzuto & Alfio Quarteroni

Authors
  1. Ricardo Ruiz-Baier
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  2. Davide Ambrosi
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  3. Simone Pezzuto
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  4. Simone Rossi
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  5. Alfio Quarteroni
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Corresponding author

Correspondence to Ricardo Ruiz-Baier .

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Editors and Affiliations

  1. Institute of Biomechanics, Center of Biomedical Engineering, Graz University of Technology, Kronegasse 5-I, Graz, 8010, Austria

    Gerhard A. Holzapfel

  2. Dept. Mechanical Engineering, Dept. of Bioengineering (courtesy), Stanford University, Lomita Mall 496, Stanford, 94305-4040, California, USA

    Ellen Kuhl

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Ruiz-Baier, R., Ambrosi, D., Pezzuto, S., Rossi, S., Quarteroni, A. (2013). Activation Models for the Numerical Simulation of Cardiac Electromechanical Interactions. In: Holzapfel, G., Kuhl, E. (eds) Computer Models in Biomechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5464-5_14

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  • DOI: https://doi.org/10.1007/978-94-007-5464-5_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5463-8

  • Online ISBN: 978-94-007-5464-5

  • eBook Packages: EngineeringEngineering (R0)

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