Abstract
Blood vessels belong to the class of soft tissues discussed in Chapter 7. They do not obey Hooke’s law. Figure 7.5:1 in Chapter 7, Sec. 7.5 demonstrates the nonlinearity of the stress-strain relationship and the existence of hysteresis. They also creep under constant stress and relax under constant strain. These mechanical properties must have a structural basis. In Sec. 8.2 we shall consider the structure of the blood vessel wall and its correlation with the mechanical properties. From Sec. 8.3 on, however, our attention will be concentrated on the mathematical description of the mechanical properties. In Secs. 8.3–8.5 we formulate a quasi-linear viscoelastic theory for blood vessels, using the pseudo-elasticity concept introduced in Chapter 7. In Sec. 8.6 we discuss the use of arterial pulse waves as a means to determine the mechanical properties of arteries. In Secs. 8.7–8.9 we consider the mechanical properties of arterioles, capillary blood vessels, venules, and veins. Finally, in Sec. 8.10, we discuss the long-term response of blood vessels to stresses: their reaction to hypertension, growth, regeneration, and resorption.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anliker, M., Histand, M. B., and Ogden, E. (1968) Circulation Res. 23, 539–551.
Anliker, M., Wells, M. K., and Ogden, E. (1969) IEEE Trans. Biomed. Eng. BME-16 262–273.
Anliker, M. (1972) In Biomechanics: Its Foundations and Objectives, Fung, Y. C., Perrone, N., and Anliker, M. (eds.). Prentice-Hall, Englewood Cliffs, N.J., 1972, pp. 337–380.
Ayorinde, O. A., Kobayashi, A. S., and Merati, J. K. (1975) In 1975 Biomechanics Symposium. ASME, New York, p. 79.
Azuma, T., Hasegawa, M., and Matsuda, T. (1970) In Proceedings of the 5th International Congress on Rheology, Onogi, S. (ed.) University of Tokyo Press, Tokyo and University Park Press, Baltimore, pp. 129–141.
Azuma, T., and Hasegawa, M. (1971) Japan J. Physiol. 21 37–47. Azuma, T., and Hasegawa, M. (1973) Biorheology 10,469–479.
Baez, S., Lamport, H., and Baez, A. (1960)•In Flow Properties of Blood and Other Biological Systems,Copley, A. L., and Stainsby, G. (eds.). Pergamon Press, Oxford, pp. 122–136.
Bauer, R. D., and Pasch, T. (1971) Pflügers Arch. 330, 335–346.
Bergel, D. H. (1972) In Biomechanics: Its Foundations and Objectives, Fung, Y. C., Perrone, N., and Anliker, M. (eds.). Prentice-Hall, Englewood Cliffs, N.J. Chap. 5, pp. 105–140.
Bevan, J. A., Bevan, R. D., Chang, P. C., Pegram, B. L., Purdy, R. E., and Su, C. (1975) Circulation Res. 37, 183–190.
Bevan, R. D. (1976) Blood Vessels 13, 100–124.
Bohr, D. F., Somlyo, A. P., and Sparks, H. V., Jr. (eds.) (1980) Handbook of Physiology. Sec. 2. The Cardiovascular System. Vol. 2: Vascular Smooth Muscle. American Physiological Society, Bethesda, Md.
Bouskela, E. and Wiederhielm, C. (1979) Microvascular Res. 17,No. 3, Part 2, p. 51, (abstract).
Burton, A. C. (1966) Fed. Proc. 25, 1753–1760.
Brankov, G., Rachev, A., and Stoychev, S. (1974) Biomechanica (Bulgarian Academy of Sciences, Sofia) 1, 27–35.
Brankov, G., Rachev, A., and Stoychev, S. (1976) Biomechanica (Bulgarian Academy of Sciences, Sofia) 3, 3–11.
Carew, T. E., Vaishnav, R. N., and Patel, D. J. (1968) Circulation Res. 23, 61–68.
Caro, C. G., Pedley, T. J., Schroter, R. C., and Seed, W. A. (1978) The Mechanics of the Circulation Oxford University Press, Oxford, 1978.
Cox, R. H. (1976–1978) Am. J. Physiol. 230, 462–470, 1976; 231, 420–425, 1976; 233, H243—H255, 1977; 234, H280–288, 1978.
Crystal, R. G. (1974) Fed. Proc. 33, 2248–2255.
Demiray, H. J. (1972) J. Biomechanics 5,309–311.
Doyle, J. M., and Dobrin, P. B. (1971) Microvascular Res. 3, 400–415. Doyle, J. M., and Dobrin, P. B. (1973) J. Biomechanics 6 631–639, 1973. Fisher, G. M., and Llaurado, J. G. (1967) Arch. Pathol. 84 95–98. Frank, O. (1920) J. Biol. 71,255–272.
Frasher, W. G. (1966) In Biomechanics, Proc. Symp., Fung, Y. C. (eds.). ASME, New York, 1966.
Fry, D. L. (1968) Circulation Res. 22, 165–197. Fry, D. L. (1969) Circulation Res. 24, 93–108.
Fung, Y. C. (1966a) In Biomechanics, Proc. of a Symp.
Fung, Y. C. (ed.). ASME, New York. pp. 151–166.
Fung, Y. C. (1966b) Fed. Proc. 25, 1761–1772.
Fung, Y. C. (1967) Am. J. Physiol. 28, 1532–1544.
Fung, Y. C. (1972) In Biomechanics: Its Foundations and Objectives, Fung, Y. C., Perrone, N., and Anliker, M. (eds.). Prentice-Hall, Englewood Cliffs, N.J., pp. 181–208.
Fung, Y. C. (1973) Biorheology 10, 139–155.
Fung, Y. C. (1975) Mechanika Polymerov LSSR, 10, 850–867.
Fung, Y. C. (1975) Circulation Res. 37, 481–496.
Fung, Y. C., and Sobin, S. S. (1969) J. Appl. Physiol. 26, 472–488.
Fung, Y. C., and Sobin S. S. (1972) Circulation Res. 30, 451–469; 470–490.
Fung, Y. C., and Sobin, S. S. (1977) In Bioengineering Aspects of Lung Biology, West, J. B. (ed.). Marcel Dekker, New York, Chapter 4, pp. 267–358.
Fung, Y. C., Zweifach, B. W., and Intaglietta, M. (1966) Circulation Res. 19, 441–461, 1966.
Fung, Y. C., Fronek, K., and Patitucci, P. (1979) Am. J. Physiol. 237(5): H620–H631. or Am. J. Physiol.: Heart and Circulation, 6 (5): H620–H631.
Gaehtgens, P., and Uekermann, U. (1971) Pflügers Arch. 330, 206–216. Gore, R. W. (1972) Am. J. Physiol. 222 (1), 82–91.
Gore, R. W. (1974) Circulation Res. 34, 581–591.
Gou, P. E. (1970) J. Biomechanics 3, 547–550.
Hardung, V. (1953) Hely. Physiol. Pharmacol. Acta 11, 194–211.
Harkness, M. L. R., Harkness, R. D., McDonald, D. A. (1957) Proc. Roy. Soc. B 146, 541–51.
Hayashi, K., Handa, H., Mori, K., and Moritake, K. (1971) J. Soc. Material Sci. (Japan) 20 1001–1011.
Hayashi, J., Sato, M., Handa, H., and Moritake, K. (1974) Exper. Mech. 14, 440–444.
Intaglietta, M., and Plomb, E. P. (1973) Microvascular Res. 7, 153–168.
Johnson, P. C. (1968) Circulation Res. 22, 199–212.
Johnson, P. C. (ed.) (1978) Peripheral Circulation. Wiley, New York.
Johnson, P. C. (1980). The myogenic response. In Bohr et al. (1980) loc. cit.,pp. 409–442.
Kasyanov, V. (1974) Mechanika Polymerov LSSR,874–884.
Kasyanov, V., and Knets, I. (1974) Mechanica Polymerov. LSSR,122–128.
Kenner, T. (1967) Arch. Kreislaufforschung 54, 68–139.
Laszt, L. (1968) Angiologica. 5, 14–27.
Lee, J. S., Frasher, W. G., and Fung, Y. C. (1967) Two-dimensional finite deformation experiments on dog’s arteries and veins. Rept. No. AFOSR 67–198, Dept. of Applied Mechanics and Engineering Science—Bioengineering, University of California, San Diego, Calif.
Marquart, D. W. (1963) J. Soc. Indust. Appl. Math. 2, 431–441.
McDonald, D. A. (1968) J. Appl. Physiol. 24, 73–78.
Moritake, K., Handa, H., Hayashi, K., and Sato, M. (1973) Japan J. Brain Surg. 1 (2), 115–123.
Patel, D. J., and Vaishnav, R. N. (1972) In Cardiovascular Fluid Dynamics, Bergel, D. H. (ed.) Academic Press, New York, Vol. 2, Chapter 11, pp. 2–65.
Roach, M. R., and Burton, A. C. (1957) Canad. J. Biochem. Physiol. 35, 681–690.
Rushmer, R. F. (1970) Cardiovascular Dynamics, 3rd edn. W. B. Saunders, Philadelphia, p. 196.
Schmid-Schoenbein, G. W., Fung, Y. C., and Zweifach, B. W. (1975) Circulation Res. 36, 173–184.
Sharma, M. G. (1974) Biorheology 11, 279–291.
Shepherd, J. T., and Vanhoutte, P. M. (1975) Veins and Their Control. W. B. Saunders, Philadelphia.
Snyder, R. W. (1972) J. Biomechanics 5, 601–606.
Sobin, P. (1977) Mechanical Properties of Human Veins. M. S. Thesis, University of California, San Diego, Calif.
Sobin, S., Fung, Y. C., Tremer, H. M., and Rosenquist, T. H. (1972) Circulation Res. 30, 440–450.
Tanaka, T. T., and Fung, Y. C. (1974) J. Biomechanics. 7, 357–370.
Vaishnav, R. N., Young, J. T., Janicki, J. S., and Patel, D. J. (1972) Biophysical J. 12, 1008–1027.
Wesley, R. L. R., Vaishnav, R. N., Fuchs, J. C. A., Patel, D. J., and Greenfield, J. C., Jr. (1975) Circulation Res. 37, 509–520.
Wetterer, E., and Kenner, T. (1968) Grundlagen der Dynamik des arterienpulses. Springer-Verlag, Berlin.
Wetterer, E., Bauer, R. D., and Busse, R. (1978) In The Arterial System, Bauer, R. D. and Busse, R. (eds.) Springer-Verlag, New York.
Wylie, E. B. (1966) in Biomechanics, Proc. ASME Symp., Fung, Y. C. (ed.). American Society of Mechanical Engineers, New York. pp. 82–95.
Zweifach, B. W., and Intaglietta, M. (1968) Microvascular Res. 1, 83–101.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer Science+Business Media New York
About this chapter
Cite this chapter
Fung, Y.C. (1981). Mechanical Properties of Blood Vessels. In: Biomechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1752-5_8
Download citation
DOI: https://doi.org/10.1007/978-1-4757-1752-5_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-1754-9
Online ISBN: 978-1-4757-1752-5
eBook Packages: Springer Book Archive