(a) The values of kobs for L-asp binding as a function of Na+ concentration. The binding rates were measured as a function of Na+ concentrations upon additions of L-asp to P11WIFS to the following final concentrations in mM: 0.01 (blue), 0.025 (red), 0.05 (green), 0.1 (purple), 0.25 (orange), 0.5 (black), 1 (brown) and 2 (dark blue). (b) The dissociation rates of L-asp as a function of Na+ concentration in the media measured for P11WIFS (solid squares) and P11WIFS-M311A (open squares). The lines through data for P11WIFS are the fits to Equation 2 with Hill coefficients n fixed to 1 (red), 2 (green) and 3 (blue). The fitted values of koff,asp and KD,Na were, respectively: 0.5 ± 0.2 s−1, 40 ± 20 µM; 0.2 ± 0.02 s−1, 130 ± 20 µM; 0.2 ± 0.01 s−1, 150 ± 13 µM. (c) Schematic representation of the mechanism in Equation 2 exemplified for two rapidly equilibrating cooperatively binding Na+ ions. (d) Comparison of the rate of L-asp uptake (open circles) and exchange (solid circles) in proteoliposomes containing wild type GltPh. Background uptake was measured in the absence of the external NaCl and subtracted from the data. All experiments were performed in triplicate and means and standard errors are shown.