Abstract
Now we shall consider the movement of water and other fluids in our bodies, especially the exchange of fluid between blood and the extravascular tissues. Red blood cells cannot leave the blood vessel; but water, ions, and some white blood cells can. The fluid in the extravascular space moves and exchanges matter with the cells in the body. The ionic composition of the fluid in the cells is quite different from that in the extracellular space. Extracellular fluid is rich in Na+, Cl−, HCO −3 , whereas the intracellular fluid is rich in K+ Mg++, phosphates, proteins, and organic phosphates. The composition of blood plasma is fairly similar to that of the extravascular fluid, except that the plasma has some 14 mEq/L of proteins while extracellular fluid has essentially none. See Table 8.1:1. To talk about mass transport in the body we must explain how this difference in composition comes about.
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References
Andreoli, T.E., Hoffman, J.F., and Fanestil, D.D. (eds.) (1980). Membrane Physiology. Plenum Medical, New York, London (being Parts 1, 2 and 3 of Physiology of Membrane Disorders by the same editors, which contains Part 4, Specialized Cells, Tissues and Organs,and Part 5, Clinical Disorders of Membrane Disorders).
Armstrong, C.G., Lai, W.M., and Mow, V.C. (1984). An analysis of the unconfined compression of articular cartilage. J. Biomech. Eng. 106: 165–173.
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (1960). Transport Phenomena. Wiley, New York. Bowen, R.M. (1976) Theory of mixtures. In: Continuum Physics, (A.C. Eringen, ed.), Vol. III, Academic Press, New York, pp. 1–127.
Curry, F.E. and C.C. Michel (1980). A fiber matrix model of capillary permeability. Microvasc. Res. 20: 96–99.
Curry, F.E. (1984). Mechanics and thermodynamics of transcapillary exchange. In Handbook of Physiology, Sec. 2, Cardiovascular System, Vol. IV, Part 1, ( E.M. Renkin and C.C. Michel, eds.). Amer. Physiol. Soc. Bethesda, MD.
Darcy, H. (1956). Les Fontaines Publiques de la Ville de Dijon. Dalmont.
Eisenberg, S.R. and Grodzinsky, A.J. (1985). Swelling of articular cartilage and other connective tissues: Electromechanochemical forces. J. Orthop. Res. 3: 148–159.
Einstein, A. (1908). The elementary theory of the Brownian motion. Z. Elektrochem. 14: 235–239.
Reprint, 1956, Investigations on the Theory of the Brownian Movement. Dover, New York.
Epstein, P. (1937). Textbook of Thermodynamics. Wiley, New York.
Friedman, M.H. (1986). Principles and Models of Biological Transport. Springer-Verlag, New York.
Fung, Y.C. (1965). Foundations of Solid Mechanics. Prentice-Hall, Englewood Cliffs, N.J.
Fung, Y.C. (1977). A First Course in Continuum Mechanics. Prentice-Hall, Englewood Cliffs, N.J. Fung, Y.C. (1981). Biomechanics: Mechanical Properties of Living Tissues. Springer-Verlag, New York.
Hargens, A.R. (ed.) (1981). Tissue Fluid Pressure and Composition. Williams and Wilkins, Baltimore, p. 3.
Intaglietta, M. and Johnson, P.C. (1978). Principles of capillary exchange. In: Peripheral Circulation ( P.C. Johnson, ed.). Wiley, New York.
Katchalsky, A. and Curran, P.F. (1965). Nonequilibrium Thermodynamics in Biophysics. Harvard University Press, Cambridge, MA.
Kenyon, D.E. (1976). The theory of an incompressible solid fluid mixture. Archs. Ration. Mech. Anal. 62: 131–147.
Klingenberg, M. (1981). Membrane protein oligomeric structure and transport function. Nature 290: 449–454.
Krupka, R.M. and Deves, R. (1983). Kinetics of inhibition of transport systems. Int. Rev. Cytol. 84: 303–352.
Lai, W.M., Mow, V.C., and Roth, V. (1981). Effects of nonlinear strain-dependent permeability and rat of compression on the stress behavior of articular cartilage. J. Biomech. Eng. 103: 61–66.
Lanir, Y. (1987). Biorheology and flux in swelling tissue. I. Bicomponent theory for small deformation including concentration effect. Biorheology 24: 173–187.
H. Analysis of unconfined compressive response of transversely isotropic cartilage disc. Biorheology 24: 189–205.
Lew, H.S. and Fung, Y.C. (1970). Formulation of a statistical equation of motion of a viscous fluid in an anisotropic non-rigid porous solid. Int. J. Solids Struct. 6: 1323–1340.
Lieb, W.R. and Stein, W.D. (1969). Biological membranes behave as non-poroud polymeric sheets with respect to the diffusion of non-electrolytes. Nature 224: 240–243.
Lieb, W.R. and Stein, W.D. (1972). Carrier and non-carrier models for sugar transport in the human red blood cell. Biochim. Biophy. Acta 265: 187–207.
Lightfoot, E.N. (1974). Transport Phenomena and Living Systems. Wiley, New York.
Lotorre, R. and Miller, C. (1983). Condition and selectivity in potassium channels. J. Membrane Biol. 71: 11–30.
Middleman, S. (1972). Transport Phenomena in the Cardiovascular Systems. Wiley, New York. Miller, C, (1982). Feeling around inside a channel in the dark. In: Transport in Biomembranes: Model Systems and Reconstitution. (R. Antolini, G. Allessandra, and A. Gorio, eds.). Raven Press, New York, p. 99.
Mow,V.C., Kuei, S.C., Lai, W.M., and Armstrong, C.G. (1980). Biphasic creep and stress relaxation of articular cartilage: Theory and experiments. J. Biomech. Eng. 102: 73–84.
Mow, V.C., Kwan, M.K., Lai, W.M., and Holmes, M.H. (1986). A finite deformation theory for nonlinearly permeable soft hydrated biological tissues. In Frontiers in Biomechanics, ( SchmidSchönbein, G., Woo, S.L.Y., Zweifach, B.W., eds). Springer-Verlag, New York. 153–179.
Muller, I. (1968). A thermodynamic theory of mixtures of fluids. Arch. Rat. Mech. Anal. 28: 1–38.
Myers, E.R., Lai, W.M., and Mow, V.C. (1984). A continuum theory and an experiment for the ion-induced swelling behavior of articular cartilage. J. Biomech. Eng. 106: 151–158.
Omens, C.W.J., van Campen, D.H., Grootenboer, H.J., and De Boer, L.J. (1984). Experimental and theoretical compression studies on porcine skin. European Soc. of Biomechanics (ESB) Conference, Davos, Switzerland.
Onsager, L. (1931). Reciprocal relations in irreversible processes. Phys. Rev. 37: 405–426;
Onsager, L. (1931). Reciprocal relations in irreversible processes. Phys. Rev. 38: 2265–2279.
Pappenheimer, J.R., Renkin, E.M., and Borrero, L.M. (1951). Filtration, diffusion and molecular sieving through peripheral capillary membranes. A contribution to the pore theory of capillary permeability. Amer. J. Physiol. 167: 13–46.
Patlak, C.S. (1957). Contributions to the theory of active transport. II. The gate type non-carrier mechanism and generalizations concerning tracer flow, efficiency, and measurement of energy expenditure. Bull. Math. Biophys. 19: 209–235.
Prigogine, I. (1955). Introduction to the Thermodynamics of Irreversible Processes. Thomas, Springfield, IL.
Renkin, E.M. (1977). Multiple pathways of capillary permeability. Circ. Res. 41: 735–743.
Solomon, A.K., Chasan, B., Dix, J.A., Lukocovic, M.F., Toon, M.R., and Verkman, A.S. (1983). The aqueous pore in the red cell membrane: B and 3 as a channel for anions, cations, nonelectrolytes, and water. Ann. N.Y. Acad. Sci. 414: 97–124.
Starling, E.H. (1896). On the absorption of fluid from the connective tissue spaces. J. Physiol. (London) 19: 312–326.
Truesdell, C. (1962). Mechanical basis of diffusion. J. Chem. Phys. 37: 2336–2344.
Urban, J.P.G., Maroudas, A., Bayliss, M.T., and Fillon, J. (1979). Swelling pressures of proteoglycans at the concentration found in cartilageneous tissues. Biorheology 16: 447–464.
Zweifach, B.W. and Silberberg, A. (1979). The interstitial-lymphatic flow system. In: International Review of Physiology, Cardiovascular Physiology III, Vol. 18, (A.C. Guyton and D.B. Young, eds.). University Park Press, Baltimore.
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Fung, Y.C. (1990). Basic Transport Equations According to Thermodynamics, Molecular Diffusion, Mechanisms in Membranes, and Multiphasic Structure. In: Biomechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6856-2_8
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DOI: https://doi.org/10.1007/978-1-4419-6856-2_8
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