A multisolute osmotic virial equation for solutions of interest in biology.

The osmotic virial equation was used to predict osmolalities of solutions of interest in biology. The second osmotic virial coefficients, Bi, account for the interactions between identical solute molecules. For multisolute solutions, the second osmotic virial cross coefficient, Bij, describes the interaction between two different solutes. We propose to use as a mixing rule for the cross coefficient the arithmetic average of the second osmotic virial coefficients of the pure species, so that only binary solution measurements are required for multisolute solution predictions. Single-solute data were fit to obtain the osmotic virial coefficients of the pure species. Using those coefficients with the proposed mixing rule, predictions were made of ternary solution osmolality, without any fitting parameters. This method is shown to make reasonably accurate predictions for three very different ternary aqueous solutions: (i) glycerol + dimethyl sulfoxide + water, (ii) hemoglobin + an ideal, dilute solute + water, and (iii) bovine serum albumin + ovalbumin + water.

The effect of cell size distribution on predicted osmotic responses of cells.

An understanding of the kinetics of the osmotic response of cells is important in understanding permeability properties of cell membranes and predicting cell responses during exposure to anisotonic conditions. Traditionally, a mathematical model of cell osmotic response is obtained by applying mass transport and Boyle-vant Hoff equations using numerical methods. In the usual application of these equations, it is assumed that all cells are the same size equal to the mean or mode of the population. However, biological cells (even if they had identical membranes and hence identical permeability characteristics--which they do not) have a distribution in cell size and will therefore shrink or swell at different rates when exposed to anisotonic conditions. A population of cells may therefore exhibit a different average osmotic response than that of a single cell. In this study, a mathematical model using mass transport and Boyle-van't Hoff equations was applied to measured size distributions of cells. Chinese hamster fibroblast cells (V-79W) and Madin-Darby canine kidney cells (MDCK), were placed in hypertonic solutions and the kinetics of cell shrinkage were monitored. Consistent with the theoretical predictions, the size distributions of these cells were found to change over time, therefore the selection of the measure of central tendency for the population may affect the calculated osmotic parameters. After examining three different average volumes (mean, median, and mode) using four different theoretical cell size distributions, it was determined that, for the assumptions used in this study, the mean or median were the best measures of central tendency to describe osmotic volume changes in cell suspensions.

Cryoprotectant equilibration in tissues.

The first step in the cryopreservation of cells or tissues is often the movement of a permeating cryoprotectant into the cells or tissues from the solution into which they have been placed. The cryoprotectant enters the cells or tissues by thermodynamic equilibration with the surroundings. In the reverse case, thermodynamic equilibration also drives the removal of permeating cryoprotectants by a dilution solution at the end of the preservation process when the cells or tissues are being readied for use. There have been reports of tissues having equilibrium cryoprotectant concentrations lower than that of the surrounding carrier solution. For various tissues, the equilibrium concentration of cryoprotectant inside the tissue is either equal to, or lower than the cryoprotectant concentration of the surrounding solution. A simple thermodynamic treatment of the solution-tissue equilibrium shows that an equilibrium concentration difference can exist between a tissue and the surrounding solution if a pressure difference can be maintained.

The effect of temperature on membrane hydraulic conductivity.

The objective of this study was to use the temperature dependence of water permeability to suggest the physical mechanisms of water transport across membranes of osmotically slowly responding cells and to demonstrate that insight into water transport mechanisms in these cells may be gained from easily performed experiments using an electronic particle counter. Osmotic responses of V-79W Chinese hamster fibroblast cells were measured in hypertonic solutions at various temperatures and the membrane hydraulic conductivity was determined. The results were fit with the general Arrhenius equation with two free parameters, and also fit with two specific membrane models each having only one free parameter. Data from the literature including that for human bone marrow stem cells, hamster pancreatic islets, and bovine articular cartilage chondrocytes were also examined. The results indicated that the membrane models could be used in conjunction with measured permeability data at different temperatures to investigate the method of water movement across various cell membranes. This approach for slower responding cells challenges the current concept that the presence of aqueous pores is always accompanied by an osmotic water permeability value, P(f)>0.01 cm/s. The possibility of water transport through aqueous pores in lower-permeability cells is proposed.