Membrane permeability equations and their solutions for red cells
- 1 December 1977
- journal article
- research article
- Published by Springer Nature in The Journal of Membrane Biology
- Vol. 34 (1), 103-144
- https://doi.org/10.1007/bf01870297
Abstract
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.This publication has 16 references indexed in Scilit:
- A new theory of transport for cell membrane pores. I. General theory and application to red cellBiochimica et Biophysica Acta (BBA) - Biomembranes, 1974
- Perturbation of red cell volume: Determination of membrane transport parameters for rapid penetrantsBiochimica et Biophysica Acta (BBA) - Biomembranes, 1972
- Perturbation of red cell volume: Rectification of osmotic flowBiochimica et Biophysica Acta (BBA) - Biomembranes, 1970
- Properties of Hemoglobin Solutions in Red CellsThe Journal of general physiology, 1968
- Application of irreversible thermodynamics to a functional description of the tumor cell membraneJournal of Cellular Physiology, 1967
- Nonsolvent Water in Human Erythrocytes and Hemoglobin SolutionsThe Journal of general physiology, 1967
- Osmotic volume changes induced by a permeable soluteJournal of Theoretical Biology, 1967
- Nonequilibrium Thermodynamics in BiophysicsPublished by Harvard University Press ,1965
- Thermodynamic analysis of the permeability of biological membranes to non-electrolytesBiochimica et Biophysica Acta, 1958
- Theory of Ordinary Differential EquationsPhysics Today, 1956