A computer program was developed to allow easy derivation of steady-state velocity and binding equations for multireactant mechanisms including or without rapid equilibrium segments. Its usefulness is illustrated by deriving the rate equation of the most general sequential iso ordered ter ter mechanism of cotransport in which two Na+ ions bind first to the carrier and mirror symmetry is assumed. It is demonstrated that this mechanism cannot be easily reduced to a previously proposed six-state model of Na+-D-glucose cotransport, which also includes a number of implicit assumptions. In fact, the latter model may only be valid over a restricted range of Na+ concentrations or when assuming very strong positive cooperativity for Na+ binding to the glucose symporter within a rapid equilibrium segment. We thus propose an equivalent eight-state model in which the concept of positive cooperativity is best explained within the framework of a polymeric structure of the transport protein involving a minimum number of two transport-competent and identical subunits. This model also includes an obligatory slow isomerization step between the Na+ and glucose-binding sequences, the nature of which might reflect the presence of functionally asymmetrical subunits.

The relationships between phlorizin binding and Na+-glucose cotransport were addressed in rabbit renal brush-border membrane vesicles. At pH 6.0 and 8.6, high affinity phlorizin binding followed single exponential kinetics. With regard to phlorizin concentrations, the binding data conformed to simple Scatchard kinetics with lower apparent affinities of onset binding (Kdi = 12-30 microM) compared to steady-state binding (Kde = 2-5 microM), and the first-order rate constants demonstrated a Michaelis-Menten type of dependence with Km values identical to Kdi. Phlorizin dissociation from its receptor sites also followed single exponential kinetics with time constants insensitive to saturating concentrations of unlabeled phlorizin or D-glucose, but directly proportional to Na+ concentrations. These results prove compatible with homogeneous binding to SGLT1 whereby fast Na+ and phlorizin addition on the protein is followed by a slow conformation change preceding further Na+ attachment, thus occluding part of the phlorizin-bound receptor complexes. This two-step mechanism of inhibitor binding invalidates the recruitment concept as a possible explanation of the fast-acting slow-binding paradigm of phlorizin, which can otherwise be resolved as follows: the rapid formation of an initial collision complex explains the fast-acting behavior of phlorizin with regard to its inhibition of glucose transport; however, because this complex also rapidly dissociates in a rapid filtration assay, the slow kinetics of phlorizin binding are only apparent and reflect its slow isomerization into more stable forms.

Gramicidin D and alamethicin are pore-forming peptides which exhibit lethal properties against a large spectrum of cells. Despite a wealth of experimental data from artificial membranes, the time course and quantitative analysis of the activity of these ionophores are not well described in living cells. In the present study, the newly described fluorescent dye CD-222 was used to monitor extracellular potassium ion concentration and report the effects of these antibiotics on the K+ permeability of the plasma membrane of Spodoptera frugiperda (Sf9) and Choristoneura fumiferana (Cf1) insect cells. Both peptides induced a rapid efflux of intracellular K+ as a consequence of ion channel formation in the cell membrane. K+ efflux began without any measurable delay. While the final extracellular K+ concentration was unaffected by ionophore concentration, the rate of K+ efflux was dose dependent. Using a model describing the partition of the peptides in lipid membranes, the K+ efflux kinetic parameters were determined for both cell types and both pore formers. The proposed stoichiometry for the channel formed by gramicidin in living cells is in good agreement with the two-monomers model based on data from artificial membrane systems. The K+-permeable channel formed by alamethicin in insect cells appears to involve three monomers.

Although phlorizin inhibition of Na+-glucose cotransport occurs within a few seconds, 3H-phlorizin binding to the sodium-coupled glucose transport protein(s) requires several minutes to reach equilibrium (the fast-acting slow-binding paradigm). Using kinetic models of arbitrary dimension that can be reduced to a two-state diagram according to Cha's formalism, we show that three basic mechanisms of inhibitor binding can be identified whereby the inhibitor binding step either (A) represents, (B) precedes, or (C) follows the rate-limiting step in a binding reaction. We demonstrate that each of mechanisms A-C is associated with a set of unique kinetic properties, and that the time scale over which one may expect to observe mechanism C is conditioned by the turnover number of the catalytic cycle. In contrast, mechanisms A and B may be relevant to either fast-acting or slow-binding inhibitors. However, slow-binding inhibition according to mechanism A may not be compatible with a fast-acting behavior on the steady-state time scale of a few seconds. We conclude that the recruitment hypothesis (mechanism C) cannot account for slow phlorizin binding to the sodium-coupled glucose transport protein(s), and that mechanism B is the only alternative that may explain the fast-acting slow-binding paradigm.