Abstract
We derive a formula for the correlation of the three practical transportparameters Lp, σ, and ω appearing in Kedem-Katchalskyequations. It has a form ω = KLp/vs(1-σ), where K = 0.0306 is a universal constant independent ofthe choice of a membrane and a solute. It can be used to calculate the valueof any of these parameters, provided the other two and the molar volume\(\overline {\upsilon _s } \) of the solute are known. The formula couldbe very useful, in particular when measurements of the parameters aredifficult or even impossible.
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References
Grygorczyk, Cz.: Measurement of practical phenomenological coefficients of membranes, Zagadnienia Biofizyki Wspòłczesnej 3(1978), 5–19 (in Polish).
Kargol, M.: A more general form of Kedem and Katchalsky’s practical equations, J. Biol. Phys. 22(1996), 15–26.
Kargol, M. and Kargol, A.: On solute convection inmembrane stomata, Kieleckie Studia Fizyczne (WSP Kielce) 2(1989), 51–59 (in Polish).
Katchalsky, A. and Curran, P.F.: Nonequilibrium thermodynamics in biophysics. Cambridge, MA: Harvard University Press, 1965, 113–132.
Kedem, O. and Katchalsky, A.: Thermodynamic analysis of the permeability of biological membranes to nonelectrolytes, Biochim. et Biophys. Acta 27(1958), 229–245.
Levitt, D.G.: A new theory of transport for cell membrane pores, Biochim. et Biophys. Acta 373 (1974), 115–131.
Mason, E.A., Wendt, R.P. and Bresler, E.H.: Similarity relations (dimensional analysis) for membrane transport, J. Membr. Sci. 6(1980), 283–298.
Meyer, R.A., Hills, E.C. and Friedman, M.H.: Tracer permeabilities underestimate transmembrane solute flux under a concentration gradient, J. Membr. Sci. 8(1981), 247–253.
Nobel, P.S.: Introduction to biophysical plant physiology, San Francisco: H.W. Foreman and Co., 1974, 133–157.
Sha’afi, R.I. and Gary-Bobo, C.M.: Water and nonelectrolytes permeability in mammalian red cell membranes, Progress in Biophys. and Molecular Biol. 26(1973), 107–146.
Steudle, E., Oren, R. and Schultze, E.D.: Water transport in maize roots, Plant. Physiol. 84 (1987), 1220–1232.
Wendt, R.P., Mason, E.A. and Bresler, E.H.: Effect of heteroporosity on membrane rejection coefficient, J. Membr. Sci. 8(1981), 69–90.
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Kargol, A., Kargol, M. & Przestalski, S. Correlation Relation for the Membrane Transport ParametersLp, σ, and ω. Journal of Biological Physics 23, 233–238 (1997). https://doi.org/10.1023/A:1005013401487
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DOI: https://doi.org/10.1023/A:1005013401487