An optimization principle for vascular radius including the effects of smooth muscle tone

Biophysical Journal

Volumn 74, Issue 1, 1998, Pages 109-114

  Taber, Larry A ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BLOOD PRESSURE; BLOOD VESSEL DIAMETER; BLOOD VISCOSITY; CARDIOVASCULAR SYSTEM; DATA ANALYSIS; HYPOTHESIS; SHEAR STRESS; SMOOTH MUSCLE TONE; THEORY;

EID: 0031982610     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(98)77772-0     Document Type: Article

References (27)

1. Diem, K., and C. Lentner. 1970. Scientific Tables. J. R. Geigy S. A., Basel, Switzerland.
2. Fung, Y. C. 1993. Biomechanics: Mechanical Properties of Living Tissues. Springer-Verlag, New York.
3. Fung, Y. C. 1996. Biodynamics: Circulation. Springer-Verlag, New York.
4. Gaehtgens, P., F. Schmidt, and G. Will. 1981a. Comparative rheology of nucleated and non-nucleated red blood cells. I. Microrheology of avian erythrocytes during capillary flow. Pflugers Arch. 390:278-282.
5. Gaehtgens, P., G. Will, and F. Schmidt. 1981b. Comparative rheology of nucleated and non-nucleated red blood cells. II. Rheological properties of avian red cell suspensions in narrow capillaries. Pflugers Arch. 390:283-287.
6. Hu, N., and E. B. Clark. 1989. Hemodynamics of the stage 12 to stage 29 chick embryo. Circ. Res. 65:1665-1670.
7. Hughes, A. F. W. 1937. Studies on the area vasculosa of the embryo chick. II. The influence of the circulation on the diameter of the vessels. J. Anat. 72:1-17.
8. Johnson, P. C. 1980. The myogenic response. In Handbook of Physiology, Section 2: The Cardiovascular System. R. M. Berne, N. Sperelakis, and S. R. Geiger, editors. American Physiological Society, Bethesda, MD. 409-442.
9. Kamiya, A., R. Bukhari, and T. Togawa. 1984. Adaptive regulation of wall shear stress optimizing vascular tree function. Bull. Math. Biol. 46: 127-137.
10. LaBarbera, M. 1990. Principles of design of fluid transport systems in zoology. Science. 249:992-1000.
11. Langille, B. L. 1993. Remodeling of developing and mature arteries: endothelium, smooth muscle, and matrix. J. Cardiovasc. Pharmacol. 21(Suppl. 1):S11-S17.
12. Lin, I. E., and L. A. Taber. 1995. A model for stress-induced growth in the developing heart. J. Biomech. Eng. 117:343-349.
13. Liu, S. Q., and Y. C. Fung. 1989. Relationship between hypertension, hypertrophy, and opening angle of zero-stress state of arteries following aortic constriction. J. Biomech. Eng. 111:325-335.
14. Matsumoto, T., and K. Hayashi. 1994. Mechanical and dimensional adaptation of rat aorta to hypertension. J. Biomech. Eng. 116:278-283.
15. Mayrovitz, H. N., and J. Roy. 1983. Microvascular blood flow, evidence indicating a cubic dependence on arteriolar diameter. Am. J. Physiol. 245:H1031-H1038.
16. McMahon, T. A. 1984. Muscles, Reflexes, and Locomotion. Princeton University Press, Princeton, NJ.
17. Murphy, M. E., and E. C. Carlson. 1978. An ultrastructural study of developing extracellular matrix in vitelline blood vessels of the early chick embryo. Am. J. Anat. 151:345-376.
18. Murray, C. D. 1926. The physiological principle of minimum work. I. The vascular system and the cost of blood volume. Proc. Natl. Acad. Sci. USA. 12:207-214.
19. Paul, R. J. 1980. Chemical energetics of vascular smooth muscle. In Handbook of Physiology, Section 2: The Cardiovascular System, Vol. II: Vascular Smooth Muscle. D. F. Bohr, A. P. Somlyo, and H. V. Sparks, editors. American Physiological Society, Bethesda, MD. 210-235.
20. Pries, A. R., D. Neuhaus, and P. Gaehtgens. 1992. Blood viscosity in tube flow: dependence on diameter and hematocrit. Am. J. Physiol. 263: H1770-H1778.
21. Pries, A. R., T. W. Secomb, and P. Gaehtgens. 1995. Design principles of vascular beds. Circ. Res. 77:1017-1023.
22. Rodbard, S. 1975. Vascular caliber. Cardiology. 60:4-49.
23. Romanoff, A. L. 1960. The Avian Embryo: Structural and Functional Development. Macmillan, New York.
24. Taber, L. A., and D. W. Eggers. 1996. Theoretical study of stress-modulated growth in the aorta. J. Theor. Biol. 180:343-357.
25. Thoma, R. 1893. Untersuchungen über die Histogenese und Histomechanik des Gefassystems. Enke Verlag, Stuttgart.
26. Weibel, E. R. 1984. The Pathway for Oxygen: Structure and Function in the Mammalian Respiratory System. Harvard, Cambridge.
27. Zamir, M. 1977. Shear forces and blood vessel radii in the cardiovascular system. J. Gen. Physiol. 69:449-461.