Transport of ions across peritoneal membrane

The electrical conductance of ions across the peritoneal membrane of young buffalo (approximately 18-24 months old) has been recorded. Aqueous solutions of NaF, NaNO₃, NaCl, Na₂SO₄, KF, KNO₃, KCl, K₂SO₄, MgCl₂, CaCl₂, CrCl₃, MnCl₂, FeCl₃, CoCl₂, and CuCl₂ were used. The conductance values have been found to increase with increase in concentration as well as with temperature (15 to 35 °C) in these cases. The slope of plots of specific conductance, κ, versus concentration exhibits a decrease in its values at relatively higher concentrations compared to those in extremely dilute solutions. Also, such slopes keep on increasing with increase in temperature. In addition, the conductance also attains a maximum limiting value at higher concentrations in the said cases. This may be attributed to a progressive accumulation of ionic species within the membrane. The κ values of electrolytes follow the sequence for the anions: SO₄²⁻>Cl⁻>NO₃⁻>F⁻ while that for the cations: K⁺>Na⁺>Ca²⁺>Mn²⁺>Co²⁺>Cu²⁺>Mg²⁺>Cr³⁺>Fe³⁺. In addition, the diffusion of ions depends upon the charge on the membrane and its porosity. The membrane porosity in relation to the size of the hydrated species diffusing through the membrane appears to determine the above sequence. As the diffusional paths in the membrane become more difficult in aqueous solutions, the mobility of large hydrated ions gets impeded by the membrane framework and the interaction with the fixed charge groups on the membrane matrix. Consequently, the membrane pores reduce the conductance of small ions, which are much hydrated. An increase in conductance with increase in temperature may be due to the state of hydration, which implies that the energy of activation for the ionic transport across the membrane follows the sequence of crystallographic radii of ions accordingly. The Eyring's equation, κ=(RT/Nh)exp[−ΔH*/RT]exp[ΔS*/R], has been found suitable for explaining the temperature dependence of conductance in the said cases. This is apparent from the linear plots of log[κNh/RT] versus 1/T. The results indicate that the permeation of ions through the membrane giving negative values of ΔS* suggest that there may be formation of either covalent linkage between the penetrating ions and the membrane material or else the permeation may not be the rate-determining step. On the one hand, a high ΔS* value associated with the high value of energy of activation, E_a, for diffusion may suggest the existence of either a large zone of activation or loosening of more chain segments of the membrane. On the other hand, low value of ΔS* implies that converse is true in such cases, i.e., either a small zone of activation or no loosening of the membrane structure upon permeation.