A Constitutive Law for Mitral Valve Tissue

Author:

May-Newman K.1,Yin F. C. P.1

Affiliation:

1. Division of Cardiology, Department of Medicine and Department of Biomedical Engineering, Johns Hopkins School of Medicine, Baltimore, MD 21205

Abstract

Biaxial mechanical testing and theoretical continuum mechanics analysis are employed to formulate a constitutive law for cardiac mitral valve anterior and posterior leaflets. A strain energy description is formulated based on the fibrous architecture of the tissue, accurately describing the large deformation, highly nonlinear transversely isotropic material behavior. The results show that a simple three-coefficient exponential constitutive law provides an accurate prediction of stress–stretch behavior over a wide range of deformations. Regional heterogeneity may be accommodated by spatially varying a single coefficient and incorporating collagen fiber angle. The application of this quantitative information to mechanical models and bioprosthetic development could provide substantial improvement in the evaluation and treatment of valvular disease, surgery, and replacement.

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Reference31 articles.

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3. Clark R. E. , 1973, “Stress–strain characteristics of fresh and frozen human aortic and mitral leaflets and chordae tendineae,” J. Thorac. Cardiovasc. Surg., Vol. 66, pp. 202–208.

4. Cochran R. P. , KunzelmanK. S., ChuongC. J., SacksM. S., and EberhartR. C., 1991, “Non-destructive analysis of mitral valve collagen fiber orientation,” ASAIO Trans., Vol. 37, pp. M447–M448M447–M448.

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