A model of epithelial water transport. The corneal endothelium.

To try to understand how an epithelial tissue can transport water between bathing solutions of equal tonicity and how intracellular solute and protein concentration are related to the structural specialization of the cell membrane at its apical, basal, and lateral margins, we have formulated and solved, using approximate analytical techniques, a new model which combines the detailed transport of local osmotic flow in extracellular channel with the multicompartment approach of thermodynamic models requiring the overall conservation of water and solute for the entire cell layer. Thus, unlike most previous models, which dealt exclusively with either the average properties of the cell layer or the local transport in the extracellular channel, we are able to solve simultaneously for the interaction of the cell with its environments across its apical, basal, and lateral cell membranes as well as the detailed transport in the extracellular channel. The model is then applied to corneal endothelium to obtain new insight into the water flow movement in this tissue under in vitro and in vivo conditions. Then in vitro solution shows that the cell at 297 mosmol/liter is slightly hypotonic to the 300-mosmol/liter external bathing solutions which drive water equally out both the aqueous (apical) and stromal (basal) cell faces. This water is replaced from the extracellular channel. There is a net flow of water because more water enters the channel through its open stromal end than through the higher resistance tight junction. In vivo, the solution predicts that the stromal swelling pressure forces water through the tight junctions towards the stroma so that there is no net flow. The interesting new features of our solution are the water recirculation pattern and the role of the osmotically active proteins in making the cell hypertonic relative to the channel.

[1]  A. Katchalsky,et al.  Nonequilibrium Thermodynamics in Biophysics , 1965 .

[2]  D. Maurice,et al.  Electrical potential and fluid transport across the corneal endothelium. , 1974, Experimental eye research.

[3]  K. Green,et al.  Permeability to water of rabbit corneal membranes. , 1969, The American journal of physiology.

[4]  S. Mishima,et al.  The effect of ouabain on the rabbit corneal endothelium. , 1968, Investigative ophthalmology.

[5]  S. Klyce,et al.  In vivo determination of endothelial permeability to water. , 1966, Investigative ophthalmology.

[6]  O. Candia,et al.  Corneal hydration and metabolically dependent transcellular passive transfer of water. , 1973, Experimental eye research.

[7]  F. B. Hoefle,et al.  Recent studies on the nature and function of the corneal endothelial barrier. , 1973, Experimental eye research.

[8]  S. Hodson The regulation of corneal hydration by a salt pump requiring the presence of sodium and bicarbonate ions , 1974, The Journal of physiology.

[9]  K. Green,et al.  Hydrostatic pressure effects on deswelling of de-epithelialized and de-endothelialized corneas. , 1976, Investigative ophthalmology.

[10]  D. Maurice The permeability to sodium ions of the living rabbit's cornea , 1951, The Journal of physiology.

[11]  A. Katchalsky,et al.  Thermodynamic analysis of the permeability of biological membranes to non-electrolytes. , 1958, Biochimica et biophysica acta.

[12]  S. Klyce,et al.  Numerical solution of coupled transport equations applied to corneal hydration dynamics. , 1979, The Journal of physiology.

[13]  S. Mishima,et al.  The permeability of the corneal epithelium and endothelium to water. , 1967, Experimental eye research.

[14]  M. H. Friedman Unsteady transport and hydration dynamics in the in vivo cornea. , 1973, Biophysical Journal.

[15]  G. Kaye,et al.  Electron Microscopy: Sodium Localization in Normal and Ouabain-Treated Transporting Cells , 1965, Science.

[16]  T. K. Goldstick,et al.  Dynamics of water transport in swelling membranes. , 1965, Journal of colloid science.