نوع مقاله: مقاله کامل پژوهشی

نویسندگان

1 استادیار، گروه بیومکانیک، دانشکده مهندسی مکانیک، دانشگاه علم و صنعت ایران

2 کارشناس ارشد مهندسی مکانیک، دانشکده مهندسی مکانیک، دانشگاه علم و صنعت ایران

10.22041/ijbme.2008.13422

چکیده

تعیین خواص مکانیکی رگ اهمیت زیادی برای تولید استنت و به طور کلی ایمپلنت های قلب و عروق دارد. در این مطالعه خواص مکانیکی بخشی از رگ فرود آینده کروناری مورد بررسی قرار گرفته است که در ابعاد مشخص بوده و لایه های آن از هم جدا شده بودند و به وسیله هولتز اپفل تحت آزمایش کشش قرار گرفته بود. تئوری هایپرالاستیک اگدن در مورد این اطلاعات آزمایشگاهی اجرا شد، این تکه رگ به صورت ریاضی مدل شد و پارامترهای مربوط بهینه شده اند. نتایج حاصل نشان دادند که تئوری اگدن، با اعمال بر اطلاعات آزمایشگاهی یکسان در مقایسه با تئوری مورد استفاده به وسیله هولتزاپفل همپوشانی خوبی داشته و خطای قابل قبولی دارند.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Hyperelastic Model to Study the Mechanical Behavior of LAD Coronary Artery

نویسندگان [English]

  • Mansour Alizadeh 1
  • Iman Mohebbi Nejad 2

1 Assistant professor, Mechanical Engineering School, Iran University Of Science and Technology

2 M.Sc Graduated, Mechanical Engineering School, Iran University Of Science and Technology

چکیده [English]

Mechanical characteristic of arteries is very important for stent producing and cardiovascular implants. In this study mechanical behavior of a piece of left anterior descending coronary artery with specified dimension and separated layers which was prepared by holtzapfel and tested under tensile test bas been considered. Ogden hyperelastic model has been implemented for the experimental data and related parameters were obtained. These parameters have been optimized. The obtained results showed that by using the same experimental data the Ogden model can be fitted well with holtzapfel model and the errors fall within acceptable range.  

کلیدواژه‌ها [English]

  • Hyper elastic
  • Soft tissues
  • Strain energy potential
  • Ogden theory
  • Optimization

[1]     Holzapfel G.A., Sommer G Ch.T., Gasser, and Regitnig P., Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling. Am J Physiol Heart Circ Physiol, 2005; 289: 2048-2058.

[2]     Lu X., Pandit A., and Kassab G.S., Biaxial incremental homeostatic elastic moduli of coronary artery: two-layer model. Am J Physiol Heart Circ Physiol, 2004; 287: 1663–1669.

[3]     Patel D.J. and Janicki J.S., Static elastic properties of the left coronary circumflex artery and the common carotid artery in dogs. Circ Res, 1970; 27: 149–158.

[4]     Lu X., Yang J., Zhao J.B., Gregersen H., and Kassab G.S. Shear modulus of porcine coronary artery: contributions of media and adventitia. Am J Physiol Heart Circ Physiol, 2003; 285: 1966–1975.

[5]     Vito R.P. and Demiray H. A two-layered model for arterial wall mechanics. Proc 35th Annu Conf Eng Med Biol, September 1982.

[6]     Kang T., Resar J., and Humphrey J.D. Heat-induced changes in the mechanical behavior of passive coronary arteries. J Biomech Eng, 1995; 117: 86–93.

[7]     Gow B.S., Schonfeld D., and Patel D.J. The dynamic elastic properties of the canine left circumflex coronary artery. J Biomech, 1974; 7: 389–395.

[8]     Bund S.J., Oldham A.A., and Heagerty AM. Mechanical properties of porcine small coronary arteries in one-kidney, one-clip hypertension. J Vasc Res,1996; 33: 175–180.

[9]     Velican C. and Velican D. Study of coronary intimal thickening. Atherosclerosis, 1985; 56: 331–344.

[10] Schulze-Bauer C.A.J. and Holzapfel G.A. Determination of constitutive equations for human arteries from clinical data. J Biomech, 2003; 36: 185– 169.

[11] Born G.V.R. and Richardson P.D. Mechanical properties of human atherosclerotic lesions. In: Pathology of Human Atherosclerotic Plaques, edited by Glagov S., Newman W.P., and Schaffer S.A. New York: Springer-Verlag, 1990, 413–423.

[12] Carmines D.V., McElhaney J.H., and Stack R., A piecewise non-linear elastic stress expression of human and pig coronary arteries tested in vitro. J Biomech, 1991; 24: 899–906.

[13] Gow B.S. and Hadfield C.D. The elasticity of canine and human coronary arteries with reference to postmortem changes. Circ Res, 1979; 45: 588–594.

[14] Hayashi K., Igarashi Y., and Takamizawa K., Mechanical properties and hemodynamics in coronary arteries. In: New Approaches in Cardiac Mechanics, edited by Kitamura K, Abè H, and Sagawa K. Tokyo: Gordon and Breach, 1986, 285–294.

[15] Ozolanta I., Tetere G., Purinya B., and Kasyanov V. Changes in the mechanical properties, biochemical contents and wall structure of the human coronary arteries with age and sex. Med Eng Phys, 1998; 20: 523–533.

[16] Richardson P.D. and Keeny S.M. (Editors). Anisotropy of Human Coronary Artery Intima. Worcester, MA: Worcester Polytechnic Institute, 1989, 205–206.

[17] Richardson P.D. and Keeny S.M. (Editors). Anisotropy of Human Coronary Artery Intima. Worcester, MA: Worcester Polytechnic Institute, 1989, p. 205–206.

[18] ABAQUS. User Manual, Version 6.5. Hibbit and Sorensen, Inc.: Providence, RI, 2004.

[19] Wikipedia, (2009), Levenberg–Marquardt algorithm, http://en.wikipedia.org/wiki/Levenberg%E2%80%93.