RESEARCH PAPERS: Other Research Papers

Determination of a Constitutive Relation for Passive Myocardium: II.—Parameter Estimation

[+] Author and Article Information
J. D. Humphrey

Department of Mechanical Engineering, The University of Maryland, Baltimore, MD 21228

R. K. Strumpf, F. C. P. Yin

Department of Medicine, Johns Hopkins Medical Institutions, Baltimore, MD 21205

J Biomech Eng 112(3), 340-346 (Aug 01, 1990) (7 pages) doi:10.1115/1.2891194 History: Received August 02, 1989; Revised March 30, 1990; Online March 17, 2008


In the first paper of this series, we proposed a new transversely isotropic pseudostrain-energy function W for describing the biomechanical behavior of excised noncontracting myocardium. The specific functional form of W was inferred directly from biaxial data to be a polynomial function of two coordinate invariant measures of the finite deformation and five material parameters. In this paper, best-fit values of the material parameters are determined from biaxial data using a nonlinear least-squares regression. These values of the parameters are shown to be well-determined, and the final constitutive relation is shown to have good predictive capabilities. Since the proposed constitutive relation describes much broader classes of in-vitro biaxial data than previously proposed relations, it may be better applicable to analyses of stress in the passive heart.

Copyright © 1990 by The American Society of Mechanical Engineers
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