A Two-Parameter Model of Cell Membrane Permeability for Multisolute Systems

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In this Subject: <a title="Anatomy & Physiology" href="/content/subcat?j_subject=157&j_availability=">Anatomy & Physiology ,&nbsp; <a title="Chemical Engineering" href="/content/subcat?j_subject=165&j_availability=">Chemical Engineering
By this author: Katkov I.I.

Author: Katkov I.I.

Source: Cryobiology, Volume 40, Number 1, February 2000 , pp. 64-83(20)

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Abstract:

A two-parameter model of cell osmotic response (F. W. Kleinhans, 1998, Cryobiology 37, 271–289) is expanded for multisolute systems. The cell water volume W and intracellular osmolalities of N solutes are related as W[1 + L_pRT Sigma ^N_i=1(M_i/P_i)] = W₀[1 + L_pRT Sigma ^N_i=1(M_0)i/P_i)], where M_i is the intracellular osmolality of the ith solute (i = 1 … N), P_i is the membrane permeability of the ith solute, L_p is the membrane hydraulic conductivity, R is the gas constant, T is the absolute temperature, and the subscript “0” denotes the initial values at time zero. The above formula allows calculating the final (equilibrium) volume when all entities are permeable. Simple algebraic expressions for calculation of the number and magnitude of transient maximum volume excursions are presented. These simple expressions can all be calculated by hand on a pocket calculator. Practical examples of one-, two-, and three-solute systems are discussed. Special attention has been given to situations when systems contain an impermeable component. All formulas are simple to use for optimization of variety of cryobiological protocols. Application of the theory for optimization of addition and dilution of a permeable cryoprotectant is also discussed. Copyright 2000 Academic Press.