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TECHNICAL PAPERS: Soft Tissue

Myocardial Material Parameter Estimation—A Comparative Study for Simple Shear

[+] Author and Article Information
H. Schmid

Bioengineering Institute, University of Auckland, Private Bag 92019, Auckland, New Zealandh.schmid@auckland.ac.nz

M. P. Nash, A. A. Young, P. J. Hunter

Bioengineering Institute, University of Auckland, Private Bag 92019, Auckland, New Zealand

J Biomech Eng 128(5), 742-750 (Mar 13, 2006) (9 pages) doi:10.1115/1.2244576 History: Received July 25, 2005; Revised March 13, 2006

The study of ventricular mechanics—analyzing the distribution of strain and stress in myocardium throughout the cardiac cycle—is crucially dependent on the accuracy of the constitutive law chosen to represent the highly nonlinear and anisotropic properties of passive cardiac muscle. A number of such laws have been proposed and fitted to experimental measurements of stress-strain behavior. Here we examine five of these laws and compare them on the basis of (i) “goodness of fit:” How well they fit a set of six shear deformation tests, (ii) “determinability:” How well determined the objective function is at the optimal parameter fit, and (iii) “variability:” How well determined the material parameters are over the range of experiments. These criteria are utilized to discuss the advantages and disadvantages of the constitutive laws.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

A sketch of all six possible shear modes for myocardium. The first letter indicates the normal vector of the face that is shifted, and the second letter indicates the direction in which it is shifted. With courtesy of the American Journal of Physiology, Dokos (15).

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Figure 2

The table depicts the experimental (dotted) and fitted force-displacement curves (solid) of the Costa-law for all six modes for experiment 3. It is grouped according to Fig. 1, whereas groups of two pictures show the x- and z-force, respectively. The overall error is 1.59%. Note the different scales on each graph. The abscissa shows the displacement in mm, whereas the ordinate shows the top face force in mN, where, e.g., FNSx indicates the x-force for the NS-mode.

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Figure 3

The table depicts the experimental (dotted) and fitted force-displacement curves (solid) of the Langevin eight-chain-law for all six modes for experiment 3. It is grouped according to Fig. 1, whereas groups of two pictures show the x- and z-force, respectively. The overall error is 3.88%. Note the different scales on each graph. The abscissa shows the displacement in mm, whereas the ordinate shows the top face force in mN, where, e.g., FNSx indicates the x-force for the NS-mode.

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