Myocardial material parameter estimation: a comparison of invariant based orthotropic constitutive equations.

Full Abstract

This study investigated a number of invariant based orthotropic and transversely isotropic constitutive equations for their suitability to fit three-dimensional simple shear mechanics data of passive myocardial tissue. A number of orthotropic laws based on Green strain components and one microstructurally based law have previously been investigated to fit experimental measurements of stress-strain behaviour. Here we extend this investigation to include several recently proposed functional forms, i.e. invariant based orthotropic and transversely isotropic constitutive relations. These laws were compared on the basis of (i) 'goodness of fit': how well they fit a set of six shear deformation tests, (ii) 'variability': how well determined the material parameters are over the range of experiments. These criteria were utilised to discuss the advantages and disadvantages of the constitutive laws. It was found that a specific form of the polyconvex type as well as the exponential Fung-type law from the previous study were most suitable for modelling the orthotropic behaviour of myocardium under simple shear.

Author information

Author/s: Schmid, H (H); Wang, Y K (YK); Ashton, J (J); Ehret, A E (AE); Krittian, S B S (SB); Nash, M P (MP); Hunter, P J (PJ);

Affiliation: Department of Continuum Mechanics, RWTH Aachen University, Aachen, Germany. schmid(-atsign-)km.rwth-aachen.de

Journal and publication information

Publication Type: Comparative Study; Journal Article

Journal: Computer methods in biomechanics and biomedical engineering (Comput Methods Biomech Biomed Engin), published in England. (Language: eng)

Reference: 2009-Jun; vol 12 (issue 3) : pp 283-95

Dates: Created 2009/04/27; Completed 2009/06/18;

PMID: 19089682, status: MEDLINE (last retrieval date: 6/18/2009, IMS Date: 18 Jun 2009 00:00:00)

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