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1 Department of Mechanical and Aerospace Engineering, University of California, Irvine, Israel, California, United States
2 Biomedical Engineering, University of California, Irvine, Irvine, California, United States
3 Department of Biomedical Engineering, Technion-Israel Institute of Technology, Haifa, Israel
* To whom correspondence should be addressed. E-mail: gkassab{at}uci.edu.
The normal coronary artery consists of two mechanically distinct layers: intima-media and adventitia. The objective of this study is to establish a two-layer three-dimensional (3-D) stress-strain relationship of porcine coronary arteries. Experimental measurements were made by a series of biaxial tests (inflation and axial extension) of intact coronary arteries and subsequently their corresponding intima-media or adventitia layer. The Fung-type exponential strain energy function was used to describe the 3-D strain-stress relationship for each layer and the intact wall. A genetic algorithm was used to determine the material constants in the Fung-type constitutive equation by curve fitting the experimental data. Since one layer has to be sacrificed to test the other layer, the missing layer was computed from the material constants of the intact vessel and the tested layer. Twenty hearts were used in the present study: one group of ten hearts was used for the left anterior descending artery and another group of ten hearts was used for the right coronary artery. Each group was further divided into two subgroups of five specimens tested for intact and intima-media layer, and for intact and adventitia layer, respectively. Our results show statistically significant differences in the material properties of the two layers. Furthermore, the mathematical model was validated by the experimental stress-strain data for individual layers. The validated 3-D constitutive model will serve as a foundation for formulation of layer-specific boundary value problems in coronary physiology and cardiology.
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