A. Mcnabb et al., USSING FLUX RATIO THEOREMS FOR ALBUMIN ENHANCED FATTY-ACID FLUXES ACROSS A LIPID-WATER INTERFACE, Applied mathematics letters, 8(3), 1995, pp. 63-68
A system of transport equations is described for one dimensional diffu
sion and interaction of ligand and protein in and across the boundarie
s of four layers. This first two layers are aqueous solutions of ligan
d, protein and ligand-protein complex, the outer, well stirred and the
inner, unstirred. These exchange ligand with two layers of decane-lig
and solution. An inner, unstirred decane solution abuts the unstirred
aqueous solution and is bounded on the other side by a well stirred de
cane layer. The system is nonlinear in the coupling, reaction terms an
d computer solutions for the flux ratio, modelling the Weisiger experi
ments, show the nonconstant behaviour of this ratio with time that suc
h a nonlinearity might be expected to produce. An alternative, radiois
otope experimental approach is suggested and analysed. It gives a line
ar system of equations for the flux ratio experiments and a flux ratio
value of one for all time, even for cases involving parameters with s
patial and concentration dependence.