Abstract
Veins normally contain about 80% of the total volume of blood in the systemic vascular system. Any change in the blood volume in the veins will affect blood flow through the heart. The most important feature of the systemic veins is, therefore, their compliance.
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References
Alexander, R. S. (1963). The peripheral venous system. Chapter 31 of Handbook of Physiology, Sec. 2, Vol. 2 Circulation. American Physiological Society, Bethesda, MD, pp. 1075–1098.
Anliker, M. and Raman, K. R. (1966). Korotkoff sounds at diastole—a phenomenon of dynamic instability of fluid-filled shells Inst. J. Solids & Struct. 2: 467–491.
Anliker, M., Wells, M. K. and Ogden, E. (1969). The transmission characteristics of large and small pressure waves in the abdominal vena cava IEEE Trans. Biomedical Eng. BME-16: 262–273.
Attinger, E. O. (1969). Wall properties of veins IEEE Trans. Biomedical Eng. BME-16 : 253–261.
Banister, J. and Torrance, R. W. (1960). The effects of the tracheal pressure upon flow : Pressure relations in the vascular bed of isolated lungs Quart. J. Exp. Physiol. 45: 353–367.
Brown, E., Greenfield, A. D. M., Goei, J. S., and Plassaras, G. (1966). Filling and emptying of the low-pressure blood vessels of the human forearm J. Appl. Physiol. 21 (2): 573–582.
Burton, A. C. (1965) Physiology and Biophysics of the Circulation. Year Book Medical Pub., Chicago, Ill.
Caro, C. G. and Harrison, G. K. (1962). Observations on pulse wave velocity and pulsatile blood pressure in the human pulmonary circulation Clin. Sci. 23 : 271–329.
Caro, C. G., Pedley, T. J., Schroter, R. C. and Seed, W. A. (1978) The Mechanics of the Circulation, Oxford Univ. Press, Oxford.
Conrad, W. A. (1969). Pressure flow relationship in collapsible tubes IEEE Trans. Biomedical Eng. BME-16 : 284–295.
Cumming, G., Henderson, R., Horsfield, K. and Singhal, S. S. (1968). The functional morphology of the pulmonary circulation. In The Pulmonary Circulation and Interstitial Space. (A. Fishman and H. Hecht, eds.) Univ. Chicago Press, Chicago, pp. 327–338.
Dawson, S. V. and Elliott, E. A. Wave-speed limitation on expiratory flow-a unifying concept J. Appl. Physiol. 43(3) : 498–515.
Downey, J. M. and Kirk, E. S. (1975). Inhibition of coronary blood flow by vascular waterfall phenomenon Circ. Res. 36 753–760.
Duomarco, J. L. and Rimini, R. (1954). Energy and hydraulic gradients along systemic veins Am. J. Physiol. 178: 215–220.
Elliott, E. A. and Dawson, S. V. (1977). Test of wave-speed theory of flow limitation in elastic tubes J. Appl. Physiol. 43: 516–522.
Flaherty, J. E., Keller, J. B. and Rubinow, S. I. (1972). Post buckling behavior of elastic tubes and rings with opposite sides in contact SIAM J. Applied Mathematics 23(4) : 446–455.
Flügge, W. (1960) Stresses in Shells. Springer-Verlag, Heidelberg.
Fry, D. L., Thomas, L. J. and Greenfield, J. C. (1980). Flow in collapsible tubes. In Basic Hemodynamics and Its Role in Disease Processes, (Patel, D. J., and Vaishnav, R. N, eds.) University Park, Baltimore, Ch. 9, pp. 407–424.
Fung, Y. C. (1977) A First Course in Continuum Mechanics. 2nd ed. Prentice-Hall, Englewood Cliffs, N. J.
Fung, Y. C. (1981) Biomechanics : Mechanical Properties of Living Tissues. SpringerVerlag, New York.
Fung, Y. C. and Sechler, E. E. (1960). Instability of thin elastic shells. In Structural Mechanics. Proc. of Symp. on Naval Structure Mechanics, (Goodier, J. N. and Hoff, N., eds.) Pergamon Press.
Fung, Y. C. and Sobin, S. S. (1972a). Elasticity of the pulmonary alveolar sheet Circulation Res. 30 : 451–469.
Fung, Y. C. and Sobin, S. S. (1972b). Pulmonary alveolar blood flow Circulation Res. 30: 470–490.
Fung, Y. C., Perrone, N. and Anliker, M. (1972) Biomechanics: Its Foundations and Objectives. Prentice-Hall, Englewood Cliffs, N. J.
Fung, Y. C. and Sechler, E. E. (eds.) (1974) Thin Shell Structures: Theory, Experiment and Design. Prentice-Hall, Englewood Cliffs, N. J.
Fung, Y. C., Sobin, S. S., Tremer, H., Yen, M. R. T. and Ho, H. H. (1983). Patency and compliance of pulmonary veins when airway pressure exceeds blood pressure J. Appl. Physiol: Respir., Exercise, and Environ. Physiol. 54 : 1538–1549.
Gibson, A. H. (1910). On the flow of water through pipes and passages having converging or diverging boundaries Proc. Roy. Soc. London, A, 83: 366–378.
Glazier, J. B., Hughes, J. M. B., Maloney, J. E. and West, J. B. (1969). Measurements of capillary dimensions and blood volume in rapidly frozen lungs J. Appl. Physiol. 26: 65–76.
Greenfield, J. C., Jr., and Tindall, G. T. (1965). Effect of acute increase in intracranicl pressure on blood flow in the internal carotid artery of man J. Clin. Invest. 44: 1343–1351.
Griffiths, D. J. (1969). Urethral elasticity and micturition hydrodynamics in females Medical and Biological Engineering 7: 201–215.
Griffiths, D. J. (1971). Hydrodynamics of male micturition-I. Theory of steady flow through elastic-walled tubes Medical & Biol. Engineering 9 : 581–588. II. Measurements of stream parameters and urethral elasticity ibid. 9: 589–596.
Griffiths, D. J. (1973). The mechanics of the urethra and of micturition British J. of Urology 45: 497–507.
Guntheroth, W. G. (1969). In vivo measurement of dimensions of veins with implications regarding control of venous return IEEE Trans. Biomededical Eng. BME 16 (4): 247–253.
Henderson, Y. and Johnson, F. E. (1912). Two modes of closure of the heart valve Heart, 4: 69–82.
Holt, J. P. (1941). The collapse factor in the measurement of venous pressure : The flow of fluid through collapsible tubes Am. J. Physiol. 134: 292–299.
Holt, J. P. (1953). Flow of liquids through collapsible tubes Amer. Heart J. 46 : 715–725.
Holt, J. P. (1969). Flow through collapsible tubes and through in situ veins IEEE Trans. Biomedical Eng. BME-16: 274–283.
Howell, J. B. L., Permutt, S., Proctor, D. F. and Riley, R. L. (1961). Effect of inflation of the lung on different parts of pulmonary vascular bed J. Appl. Physiol. 16: 71–76.
Hyatt, R. E., Schilder, D. P. and Fry, D. L. (1958). Relationship between maximum expiratory flow and degree of lung inflation J. Appl. Physiol. 13: 331–336.
Kamm, R. D. and Shapiro, A. H. (1970). Unsteady flow in collapsible tube subjected to external pressure or body forces J. Fluid Mechanics 95: Part 1, 1–78.
Katz, A. I., Chen, Y. and Moreno, A. H. (1969). Flow through a collapsible tube: Experimental analysis and mathematical model Biophysical J. 9: 1261–1279.
Kececioglu, I., Kamm, R. D. and Shapiro, A. H. (1978). Structure of shock waves in collapsible tube flow (Abstract) Proc. 31st Ann. Conf. Engng. in Medicine & Biol., Atlanta, Ga.
Kety, S. S., Shenkin, H. A. and Schmidt, C. F. (1948). The effects of increased intracranial pressure on cerebral circulatory functions in man J. Clin. Invest. 27: 493–499.
Kline, S. J. (1959). On the nature of stall J. of Basic Eng., Trans. ASME 81, Ser. D: 305–320. See also Kline et al., loc. cit. : 321–331.
Kline, S. J., Moore, C. A. and Cochran, D. L. (1957). Wide-angle diffusers of high performance and diffuser flow mechanisms J. Aeronautical Sci. 24: 469–471.
Knowlton, F. P. and Starling, E. H. (1912). The influence of variations in temperature and blood pressure on the performance of the isolated mammalian heart J. Physiol. (London) 44: 206–219.
Kresch, E. (1979). Compliance of flexible tubes J. Biomechanics. 12: 825–839.
Kresch, E. and Noordergraaf, A. (1969). A mathematical model for the pressure-flow relationship in segment of vein IEEE Trans. Biomedical Eng. BME-16: 296–307.
Lai-Fook, S. J. (1979). A continuum mechanics analysis of pulmonary vascular interdependence in isolated dog lobes J. Appl. Physiol. 45: 419–429.
Lyon, C. K., Scott, J. B., and Wang, C. Y. (1980). Flow through collapsible tubes at low Reynolds numbers : Applicability of the waterfall model Circulation Res. 47: 68–73.
Macklin, C. C. (1946). Evidences of increase in the capacity of the pulmonary arteries and veins of dogs, cats and rabbits during inflation of the freshly excised lung Revue canadienne de Biol. 5: 199–232.
Matsuzaki, Y. and Fung, Y. C. (1976). On separation of a divergent flow at moderate Reynolds numbers J. Appl. Mech., Trans. ASME 98: 227–231.
Matsuzaki, Y. and Fung, Y. C. (1977). Unsteady fluid dynamic forces on a simplysupported circular cylinder of finite length conveying a flow, with applications to stability analysis J. of Sound and Vibration, 54 (3): 317–330.
McCutcheon, E. P. and Rushmer, R. F. (1967). Korotkoff sounds: an experimental critique Circulation Res. 20: 149–169.
Mead, J. and Whittenberger, J. L. (1964). Lung inflation and hemodynamics. In Handbook of Physiology Sec. 3, Respiration, (W. O. Fenn and H. Rahn, eds.) Vol 1, Amer. Physiol. Soc., Washington, D.C. pp. 477–486.
Moreno, A. H., Katz, A. I., Gold, L. D. and Reddy, R. V. (1970). Mechanics of distension of dog veins and other very thin-walled tubular structures Circulation Res. 27: 1069–1079.
Morkin, E., Collins, J. A., Goldman, H. S. and Fishman, A. P. (1965). Pattern of blood flow in the pulmonary veins of the dog J. Appl. Physiol. 20 : 1118–1128.
Moses, R. A. (1963). Hydrodynamic model eye Ophthalmologica 146: 137–142.
Olsen, J. H. and Shapiro, A. H. (1967). Large amplitude unsteady flow in liquid-filled elastic tubes J. Fluid Mechanics 29: 513–538.
Pedley, T. J. (1980) The Fluid Mechanics of Large Blood Vessels. Cambridge Univ. Press, Cambridge & New York, Ch. 6, Flow in collapsible tubes. pp. 301–368.
Permutt, S., Bromberger-Barnea, B. and Bane, H. N. (1962). Alveolar pressure, pulmonary venous pressure, and the vascular waterfall Med. Thorac. 19: 239–260.
Permutt, S. and Riley, R. L. (1963). Hemodynamics of collapsible vessels with tone : vascular waterfall J. Appl. Physiol. 18: 924–932.
Pollack, A. A. and Wood, E. H. (1949). Venous pressure in the saphenous vein at the ankle in man during exercise and changes in posture J. Appl. Physiol. 1: 649–662.
Prescott, J. (1924) Applied Elasticity. 1st ed. 1924. Reprint, Dover Publications, New York.
Ribreau, C. and Bonis, M. (1978). Propagation et écoulement dans les tubes collabables. Contribution à l’étude des vaisseaux sanguins J. Fr. Biophy. & Med. Nucl. 2: 153–158.
Rodbard, S. (1955). Flow through collapsible tubes : augmented flow resistance produced by resistance at the outlet Circulation 11: 280–287.
Rodbard, S. and Saiki, H. (1953). Flow through collapsible tubes Amer. Heart J. 46: 715–725.
Rubinow, S. I. and Keller, J. B. (1972). Flow of a viscous fluid through an elastic tube with application to blood flow J. Theor. Biology. 35: 299–313.
Shapiro, A. H. (1977). Steady flow in collapsible tubes, J. Biomech. Engng. Trans. ASME 99 (K): 126–147.
Shepherd, J. T., and Vanhoutte, P. M. (1975) Veins and their Control. Saunders, London, Philadephia.
Singhal, S., Henderson, R., Horsfield, K., Harding, K. and Cumming, G. (1973). Morphometry of the human pulmonary arterial tree Circulation Res. 33: 190–197.
Smith, F. T. (1977). Upstream interactions in channel flows J. Fluid Mechanics. 79: 631–655.
Sobin, S. S., Fung, Y. C., Tremer, H. and Rosenquist, T. H. (1972). Elasticity of the pulmonary interalveolar microvascular sheet in the cat Circulation Res. 30: 440–450.
Sobin, S. S., Lindal, R. G., Fung, Y. C. and Tremer, H. M. (1978). Elasticity of the smallest noncapillary pulmonary blood vessels in the cat. Microvas. Res. 15 : 57–68.
Sobin, S. S., Fung, Y. C., Lindal, R. G., Tremer, H. M. and Clark, L. (1980). Topology of pulmonary arterioles, capillaries and venules in the cat Microvas. Res. 19: 217–233.
Strahler, A. N. (1964). Quantitative geomorphology of drainage basin and channel networks. In Handbook of Applied Hydrology: Compedium of Water Resources Technology (Chow, V. T., ed.) McGraw-Hill, New York.
Szidon, J. P., Ingram, R. H. and Fishman, A. P. (1968). Origin of the pulmonary venous flow pulse Amer. J. Physiol. 214: 10–14.
Timoshenko, S. and Gere, J. M. (1961) Theory of Elastic Stability. McGraw—Hill, New York, 1st ed. 1936., 2nd ed. 1961.
Ur. A. and Gordon, M. (1970). Origin of Korotkoff sounds Am. J. Physiol. 218: 524–529.
Weibel, E. R. (1963) Morphometry of the Human Lung. Springer-Verlag, Berlin.
Wexler, L., Bergel, D. H., Gabe, I. T., Makin, G. S., and Mills, C. J. (1968). Velocity of blood flow in normal human venae cavae Circulation Res. 23 : 349–359.
Wild, R., Pedley, T. J. and Riley, D. S. (1977). Viscous flow in collapsible tubes of slowly-varying elliptical cross-section J. Fluid Mech. 81 : 273–294.
Wood, J. E. (1965) The Veins: normal and abnormal functions. Little, Brown, Boston, 224 pp.
Yen, R. T. and Foppiano, L. (1981). Elasticity of small pulmonary veins in the cat J. Biomech. Engng. Trans. ASME 103 : 38–42.
Yen, R. T., Fung, Y. C. and Bingham, N. (1980). Elasticity of small pulmonary arteries in the cat J. Biomech. Engng. Trans. ASME 102: 170–177.
Yen, R. T., Zhuang, F. Y., Fung, Y. C., Ho, H. H., Tremer, H. and Sobin, S. S. (1983). Morphometry of cat’s pulmonary venous tree J. Appl. Physiol. In press.
Young, D. F. and Tsai, F. Y. (1973). Flow characteristics in models of arterial stenosis. I. Steady flow J. Biomechanics. 6: 395–410.
Young, D. F., Cholvin, N. R., and Roth, A. C. (1975). Pressure drop across artificially induced stenoses in the femoral arteries of dogs Circ. Res. 36: 735–743.
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Fung, Y.C. (1984). The Veins. In: Biodynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3884-1_4
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