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Dilation and Hypertrophy: A Cell-Based Continuum Mechanics Approach Towards Ventricular Growth and Remodeling

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IUTAM Symposium on Cellular, Molecular and Tissue Mechanics

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 16))

Abstract

This manuscript presents a continuum approach towards cardiac growth and remodeling that is capable to predict chronic maladaptation of the heart in response to changes in mechanical loading. It is based on the multiplicative decomposition of the deformation gradient into and elastic and a growth part. Motivated by morphological changes in cardiomyocyte geometry, we introduce an anisotropic growth tensor that can capture both hypertrophic wall thickening and ventricular dilation within one generic concept. In agreement with clinical observations, we propose wall thickening to be a stress-driven phenomenon whereas dilation is introduced as a strain-driven process. The features of the proposed approach are illustrated in terms of the adaptation of thin heart slices and in terms overload-induced dilation in a generic bi-ventricular heart model.

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Acknowledgements

This material is based on work supported by the National Science Foundation under Grant No. EFRI-CBE 0735551 Engineering of cardiovascular cellular interfaces and tissue constructs and by the NIH Center for Biomedical Computation at Stanford Simbios.

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Authors and Affiliations

  1. Departments of Mechanical Engineering and Bioengineering, Stanford University, Stanford, CA, 94305, USA

    J. Ulerich, S. Göktepe & E. Kuhl

Authors
  1. J. Ulerich
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  2. S. Göktepe
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  3. E. Kuhl
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Corresponding author

Correspondence to E. Kuhl .

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Editors and Affiliations

  1. Dept. Mechanical Engineering, University of Michigan, Ann Arbor, 48109-2121, U.S.A.

    Krishna Garikipati

  2. Dept. Mechanical Engineering, University of Michigan, Ann Arbor, 48109-2121, U.S.A.

    Ellen M. Arruda

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© 2010 Springer Science+Business Media B.V.

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Ulerich, J., Göktepe, S., Kuhl, E. (2010). Dilation and Hypertrophy: A Cell-Based Continuum Mechanics Approach Towards Ventricular Growth and Remodeling. In: Garikipati, K., Arruda, E. (eds) IUTAM Symposium on Cellular, Molecular and Tissue Mechanics. IUTAM Bookseries, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3348-2_20

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