Universal Journal of Physics and Application Vol. 5(3), pp. 459 - 474
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DERIVATION OF PRACTICAL KEDEM - KATCHALSKY EQUATIONS FOR MEMBRANE SUBSTANCE TRANSPORT

AUTHOR(S) INFORMATION: Jarzyńska M. and Pietruszka M.

ABSTRACT

The following paper includes a derivation of practical Kedem- Katchalsky (K-K) equations for the volume flow J_v and the solute flow J_s for non-electrolytes. This derivation makes the equations clearer and consequently their interpretation also becomes easier. The equations have been derived on the basis of the analysis of the membrane transport generated by simultaneous action of two thermodynamic stimuli: the hydrostatic pressure difference Δp and the osmotic pressure difference ΔΠ .Furthermore, the derivation of the solute permeability coefficient ω , which results from K-K equations, is also presented in this paper. The formulas for coefficients characterizing membrane permeability, ω_d and ω_k, as well as their derivation and physical interpretation are also presented below. Finally, a formula for the membrane coefficient L_D, which represents a diffusional mobility, is derived.