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. 2019 Jun 1;30(12):1451–1462. doi: 10.1091/mbc.E18-10-0641

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© 2019 Kim and Rice. “ASCB®,” “The American Society for Cell Biology®,” and “Molecular Biology of the Cell®” are registered trademarks of The American Society for Cell Biology.

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FIGURE 2: — Three-state model that contains a GDP.P_i intermediate. (A) Cartoons illustrating the differences between models without (top) and with (bottom) a GDP.P_i intermediate. The GDP.P_i intermediate requires two additional parameters: a rate constant for P_i release and another for the strength of the longitudinal interaction when GDP.P_i is at the interface. Vertical white arrows indicate trans-acting nucleotides. (B) Comparison between measured (black circles) and predicted (lines; red, black correspond to GDP.P_i interfaces having the same strength as GTP and GDP interfaces, respectively; brown corresponds to GDP.P_i interfaces having intermediate strength) growth rates. All three scenarios can recapitulate observed growth rates. In this plot the ratio between the hydrolysis rate and the phosphate release rates has been set to 1:1. (C) Predicted catastrophe frequency as a function of concentration for different values for the strength of the GDP.P_i longitudinal interface. Varying the strength of the GDP-P_i interface has a limited effect on the concentration dependence of the catastrophe frequency. The ratio between the hydrolysis rate and the phosphate release rates has been set to 1:1. The y-axis is linear in the larger plot. The smaller inset graph displays the same data, but the y-axis is on log scale. (D) Contour plot of the predicted concentration dependence of catastrophe. The concentration dependence is defined as the ratio of catastrophe frequencies at 9.5 and 13.5 µM. The concentration dependence of the catastrophe frequency is lowest when the ratio between hydrolysis and release is 1:1 and the longitudinal interface with GDP-P_i is as strong as the interface with GTP.