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This Article Full Text Full Text (PDF) All Versions of this Article: 294/1/H66    most recent 00703.2007v1 Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Similar articles in ISI Web of Science Similar articles in PubMed Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via Google Scholar Google Scholar Articles by Wang, C. Articles by Kassab, G. S. Search for Related Content PubMed PubMed Citation Articles by Wang, C. Articles by Kassab, G. S.

The validation of a generalized Hooke's law for coronary arteries

¹Department of Mechanical and Aerospace Engineering, University of California, Irvine, California; and Departments of ²Biomedical Engineering, ³Surgery, and ⁴Cellular and Integrative Physiology and Indiana Center for Vascular Biology and Medicine, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana

Submitted 16 June 2007 ; accepted in final form 11 October 2007

The exponential form of constitutive model is widely used in biomechanical studies of blood vessels. There are two main issues, however, with this model: 1) the curve fits of experimental data are not always satisfactory, and 2) the material parameters may be oversensitive. A new type of strain measure in a generalized Hooke's law for blood vessels was recently proposed by our group to address these issues. The new model has one nonlinear parameter and six linear parameters. In this study, the stress-strain equation is validated by fitting the model to experimental data of porcine coronary arteries. Material constants of left anterior descending artery and right coronary artery for the Hooke's law were computed with a separable nonlinear least-squares method with an excellent goodness of fit. A parameter sensitivity analysis shows that the stability of material constants is improved compared with the exponential model and a biphasic model. A boundary value problem was solved to demonstrate that the model prediction can match the measured arterial deformation under experimental loading conditions. The validated constitutive relation will serve as a basis for the solution of various boundary value problems of cardiovascular biomechanics.

constitutive relation; material constants; nonlinearity