Sr. Thomas et G. Dagher, A KINETIC-MODEL OF RAT PROXIMAL TUBULE TRANSPORT - LOAD-DEPENDENT BICARBONATE REABSORPTION ALONG THE TUBULE, Bulletin of mathematical biology, 56(3), 1994, pp. 431-458
A model is presented of solute and water reabsorption along the proxim
al tubule of the rat kidney based on kinetic descriptions of the main
membrane transport systems, in order to assess the extent to which the
se kinetics suffice to explain certain aspects of the global transport
behaviour in this segment, especially with respect to bicarbonate rea
bsorption. The model includes in the apical membrane, an active proton
pump, Na+/H+ antiport, Na-coupled transport of organic solutes, Cl-/f
ormate exchange with formic acid recycling, and membrane conductances
to protons and K+. In the baso-lateral membrane, besides the Na/K+ pum
p, the model includes Na+-3HCO3- and electroneutral K+-Cl- cotransport
ers, and membrane conductances for K+, H+, and, optionally, for Cl-. A
ppropriate passive diffusional pathways were included in both cell mem
branes and in the paracellular pathway. Using mass balance and electon
eutrality constraints, these transport systems were built into an epit
helial model which was then integrated (by finite difference approxima
tion) into a model of a longitudinal tubule. Simulated cellular solute
concentrations and luminal concentration profiles were in good agreem
ent with reported experimental observations. We show that, given the r
eported transport kinetics for the Na+/H+ antiporter, a hitherto unexp
lained observation concerning load-dependent bicarbonate reabsorption
can be shown mainly to result from the nonlinear longitudinal concentr
ation profile for bicarbonate and pH. We also discuss problems of tran
scellular Cl- transport in the light of recent reports of basolateral
Cl- conductance and observations relevant to apical Cl-/formate (or ot
her base) exchange.