Non‐linear osmosis

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Abstract
The relation between osmotic gradient and rate of osmotic water flow has been measured in rabbit gall-bladder by a gravimetric procedure and by a rapid method based on streaming potentials. Stream-Ing potentials were directly proportional to gravimetrlcally measured water fluxes. As in many other tissues, water flow was found to vary with gradient in a markedly non-linear fashion. There was no consistent relation between the water permeability and either the direction or the rate of water flow. Water flow in response to a given gradient decreased at higher osmolarities. The resistance to water flow increased linearly with osmolarity over the range 186-825 m-OS [image]. The resistance to water flow was the same when the gall-bladder separated any 2 bathing solutions with the same average osmolarity, regardless of the magnitude of the gradient. In other words, the rate of water flow is given by the expression (Om [long dash]Os )/[R''o l/2k''(Om + Os)\ where R''o and k'' are constants and Om and Os are the bathing solution osmolarities. Of the theories advanced to explain non-linear osmosis in other tissues, flow-Induced membrane deformations, unstirred layers, asymmetrical series-membrane effects, and non-osmotic effects of solutes could not explain the results. However, experimental measurements of water permeability as a function of osmolarity permitted quantitative reconstruction of the observed water flow-osmotic gradient curves. Hence non-linear osmosis in rabbit gall-bladder Is due to a decrease in water permeability with increasing osmolarity. The results suggest that aqueous channels in the cell membrane behave as osmometers, shrinking in concentrated solutions of impermeant molecules and thereby increasing membrane resistance to water flow. A mathematical formulation of such a membrane structure is offered.