Derivation of myocardial fiber stiffness equation based on theory of laminated composite.
The constitutive equation with stress-dependent coefficients for laminated composite is derived and employed for iterative determination of myocardial fiber's stiffness equation E(f) = Ksigma(f) + C from myocardial strip's stiffness equation E(s) = K(s)sigma(s) + C(s). The strip's stiffness constants K(s) and C(s) are estimated by the least-square curve fitting of the stress-strain data experimentally obtained from uniaxially stretching of strips of left ventricular heart wall excised from seven canine hearts. The values of K and C computed at selected fiber orientations across the thickness of the strip and using three, five, and ten-layer approximations are reported.
Pao
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Department of Engineering Mechanics, University of Nebraska, Lincoln, Neb. 68588, USA.
Nagendra
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GK
Padiyar
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Ritman
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EL
D003198:Computer Simulation; D055119:Elastic Modulus / Q000502:physiology; D006321:Heart / Q000502:physiology*; D006801:Humans; D008955:Models, Cardiovascular; D032383:Myocytes, Cardiac / Q000502:physiology*; D013314:Stress, Mechanical