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.
Determination of a Constitutive Relation for Passive Myocardium: II.—Parameter Estimation
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Humphrey, J. D., Strumpf, R. K., and Yin, F. C. P. (August 1, 1990). "Determination of a Constitutive Relation for Passive Myocardium: II.—Parameter Estimation." ASME. J Biomech Eng. August 1990; 112(3): 340–346. https://doi.org/10.1115/1.2891194
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