Na⁺-Coupled Alanine Transport in LLC-PK₁ Cells: The Relationship Between the K _m for Na⁺ at Low [Alanine] and Potential Dependence for the System

Abstract.

Analysis of the mechanistic basis by which sodium-coupled transport systems respond to changes in membrane potential is inherently complex. Algebraic expressions for the primary kinetic parameters (K _m and V _max ) consist of multiple terms that encompass most rate constants in the transport cycle. Even for a relatively simple cotransport system such as the Na⁺/alanine cotransporter in LLC-PK₁ cells (1:1 Na⁺ to substrate coupling, and an ordered binding sequence), the algebraic expressions for K _m for either substrate includes ten of the twelve rate constants necessary for modeling the full transport cycle. We show here that the expression of K _m of the first-bound substrate (Na⁺) simplifies markedly if the second-bound substrate (alanine) is held at a low concentration so that its' binding becomes the rate limiting step. Under these conditions, the expression for the K ^Na _m includes rate constants for only two steps in the full cycle: (i) binding/dissociation of Na⁺, and (ii) conformational `translocation' of the substrate-free protein. The influence of imposed changes in membrane potential on the apparent K ^Na _m for the LLC-PK₁ alanine cotransporter at low alanine thus provides insight to potential dependence at these sites. The data show no potential dependence for K ^Na _m at 5 μm alanine, despite marked potential dependence at 2 mm alanine when the full algebraic expression applies. The results suggest that neither translocation of the substrate-free form of the transporter nor binding/dissociation of extracellular sodium are potential dependent events for this transport system.