Membrane permeability equations and their solutions for red cells
The mathematical equations for the transport of nonelectrolytes across cell membranes are critically examined and cast in forms suitable for solution which involve fewer approximations than has heretofore been commonly done. For the case of red cells, the equations are developed to include the effect of the variation in apparent nonosmotic water owing to the variation in hemoglobin concentration as the cell swells or shrinks. Two methods of solution of the equations are developed and studied and sample calculations are provided. It is shown that the solutions to the linearized equations commonly found in the literature are insufficiently accurate for some purposes and this inaccuracy is avoided by the methods given here. The importance of retaining the effects of variations in apparent nonosmotic water and in solute volume in the cell is demonstrated.
Unable to display preview. Download preview PDF.
- 1.Coddington, E.A., Levinson, N. 1955. Theory of Ordinary Differential Equations. McGraw-Hill, New YorkGoogle Scholar
- 7.Hempling, H.G. 1967. Application of irreversible thermodynamics to a functional description of the tumor cell membrane.J. Cell. Physiol. 70:237Google Scholar
- 8.Johnson, J.A., Wilson, T.A. 1967. Osmotic volume changes induced by a permeable solute.J. Theoret. Biol. 17:304Google Scholar
- 9.Katchalsky, A., Curran, P.F. 1965. Nonequilibrium thermodynamics in Biophysics. p. 113. Harvard University Press, CambridgeGoogle Scholar
- 11.Levitt, D.G. 1974. A new theory of transport for cell membrane pores. 1. General theory and application to red cell.Biochim. Biophys., Acta. 373:115Google Scholar
- 13.Rand, R.P., Burton, A.C. 1964. Mechanical properties of the red cell membrane. I. Membrane stiffness and intracellular pressure.Biophys. J. 4:115Google Scholar
- 14.Robinson, R.A., Stokes, R.H. 1959. Electrolyte Solutions (2nd ed.). Academic Press, New YorkGoogle Scholar
- 19.Weast, R.C. (editor), 1966. Handbook of Chemistry and Physics (47th ed.). Chemical Rubber Company, ClevelandGoogle Scholar