Theoretical Study of the Effects of Vascular Smooth Muscle Contraction on Strain and Stress Distributions in Arteries

Annals of Biomedical Engineering

Volumn 27, Issue 4, 1999, Pages 459-468

  Rachev, Alexander ^a   Hayashi, Kozaburo ^b  

^a INSTITUTE OF MECHANICS   (Bulgaria)

^b OSAKA UNIVERSITY   (Japan)

Author keywords

Active stress; Myogenic response; Residual strain; Vascular mechanics

Indexed keywords

ANIMAL; ARTERY; ARTICLE; BIOLOGICAL MODEL; BLOOD PRESSURE; ELASTICITY; MECHANICAL STRESS; MUSCLE CONTRACTION; MUSCLE RELAXATION; PHYSIOLOGY; RAT; THEORETICAL MODEL; VASCULAR SMOOTH MUSCLE;

ANIMALS; ARTERIES; BLOOD PRESSURE; ELASTICITY; MODELS, CARDIOVASCULAR; MODELS, THEORETICAL; MUSCLE CONTRACTION; MUSCLE RELAXATION; MUSCLE, SMOOTH, VASCULAR; RATS; STRESS, MECHANICAL;

EID: 0033159466     PISSN: 00906964     EISSN: None     Source Type: Journal    
DOI: 10.1114/1.191     Document Type: Article

References (23)

1. Bayliss, W. M. On the local reactions of the arterial wall to changes in internal pressure. J. Physiol. (London) 28:220-231, 1902.
2. Chuong, C. J., and Y. C. Fung. Three-dimensional stress distribution in arteries. J. Biomech. Eng. 105:268-274, 1983.
3. Chuong, C. J., and Y. C. Fung. On residual stress in arteries. J. Biomech. Eng. 108:189-192, 1986.
4. Cox, R. Comparison of carotid artery mechanics in the rat, rabbit, and dog. Am. J. Physiol. 234:H280-H288, 1978.
5. Cox, R. H. Regional variation of series elasticity in canine arterial smooth muscles. Am. J. Physiol. 234:H542-H551, 1978.
6. Dobrin, P. B. Influence of initial length on length-tension relationship of vascular smooth muscle. Am. J. Physiol. 225:644-670, 1973.
7. Dobrin, P. B. Vascular mechanics. In: Handbook of Physiology. The Cardiovascular System. Vascular Smooth Muscle, edited by D. F. Bohr, A. P. Somlyo, and H. V. Sparks, Jr. Bethesda, MD: Am. Physiol. Soc., 1983, Chap. 3, pp. 65-104.
8. Fung, Y. C. Biodynamics: Circulation. New York: Springer, 1984.
9. Fung, Y. C., and S. Q. Liu. Change of residual strains in arteries due to hypertrophy caused by aortic constriction. Circ. Res. 65:1340-1349, 1989.
10. Fung, Y. C. What are the residual stresses doing in our blood vessels. Ann. Biomed. Eng. 19:237-249, 1991.
11. Hayashi, K., and X.-Y. Li. Histo-dimensional analysis of strain distribution in the arterial wall. Proceedings of the Third Conference on Biomechanics. Tokyo: JSME, 1993, pp. 61-62.
12. Johnson, P. C. The myogenic response. In: Handbook of Physiology. The Cardiovascular System. Vascular Smooth Muscle, edited by D. F. Bohr, A. P. Somlyo, and H. V. Sparks, Jr. Bethesda, MD: Am. Physiol. Soc., 1980, Chap. 15, pp. 409-442.
13. Matsumoto, T., and K. Hayashi. Analysis of stress and strain distribution in hypertensive and normotensive rat aorta considering residual strains. J. Biomech. Eng. 118:62-73, 1996.
14. Matsumoto, T., M. Tsuchida, and M. Sato. Change in intramural strain distribution in rat aorta due to smooth muscle contraction and relaxation. Am. J. Physiol. 271:H1711-H1716, 1996.
15. Matsumoto, T., K. Takasawa, S. Sugawara, and M. Sato. Two-dimensional change in zero-stress configuration of rabbit thoracic aorta due to smooth muscle contraction. Int. J. Cardiovasc. Med. Sci. 1:21, 1997.
16. Rachev, A. Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions. J. Biomech. 30:819-827, 1997.
17. Rodbard, S. Negative feedback mechanisms in the architecture and function of the connective and cardiovascular tissue. Perspect. Biol. Med. 13:507-527, 1970.
18. Sipkema, P., N. Westerhof, and N. Hoogerwerf. Rate of myogenic response increases with the constriction level in rabbit femoral arteries. Ann. Biomed. Eng. 25:278-285, 1997.
19. Takamizawa, K., and K. Hayashi. Strain energy density function and uniform strain hypothesis for arterial mechanics. J. Biomech. 20:7-17, 1987.
20. Takamizawa, K., K. Hayashi, and T. Matsuda. Isometric biaxial tension of smooth muscle in isolated cylindrical segments of rabbit arteries. Am. J. Physiol. 263:H30-H34, 1992.
21. Vaishnav, R. N., and J. Vossoughi. Estimation of residual strains in aortic segments. In: Biomedical Engineering II, Recent Developments, edited by C. W. Hall. New York: Pergamon, 1983, pp. 330-333.
22. Vito, R. P., and J. Hickey. The mechanical properties of soft tissues. II. The elastic response of arterial segments. J. Biomech. 13:951-957, 1980.
23. Zeller, P. J., and T. C. Skalak. Contribution of individual structural components in determining the zero-stress state in small arteries. J. Vasc. Res. 35:8-17, 1998.