Derivation of a steady-state rate equation for the aminoacyl-tRNA synthetases is described, and its suitability for the analysis of various details of the reaction is tested. The equation is applied to the magnesium and spermidine dependences of the isoleucyl-tRNA synthetase reaction. Earlier work The transfer reaction is rather slow, and, at least under some conditions, it participates in rate limitation. (d) A Mg2+-induced reduction in the aminoacylation rate seems to be directed to the dissociation of the aminoacyl-tRNA from the enzyme. This dissociation rate is enhanced if a Mg2+ is first dissociated from the enzyme or tRNA. An increase in the Mg2+ concentration shifts the rate limitation from the transfer reaction towards dissociation of the product.The aminoacyl-tRNA synthetase reaction contains three substrates and three products, and in a simple case the total reaction has 15 intermediates (Scheme 1). If activators such as Mg2 + and polyamines are added, the number of different intermediates rises to hundreds. Consequently, the steadystate rate equation for such a reaction is complex. A total rate equation, however, could provide a means to test the compatibility of separately measured kinetic parameters, and, in addition, it could be used to test some dependences of the enzyme system. Within the aminoacyl-tRNA synthetases, the aim is to calculate the discrimination of the incorrect amino acids.Much kinetic work has been performed on the isoleucyltRNA synthetase from Escherichia coli [l -41. Therefore, it is a good model for studies using a total rate equation, too, especially to test how well the scattered parameters function with each other. In previous work [S, 61, a rate equation for isoleucyl-tRNA synthetase has been derived, the roles of Mg2+ and spermidine in the reaction analysed. The Mg2+ and polyamine dependences were used as means to test the correctness of the mechanism and to estimate various kinetic constants. A somewhat different approach for checking the compatibility of the measured parameters has been used by Okamoto and Savageau [7,8].The present paper describes kinetic measurements made by changing the tRNA concentrations. The steady-state rate equation was improved and the constants were estimated to fit the results. The analysis led to adjustments ofthe constants, especially at the transfer reaction and thereafter. The relationship between the rates of aminoacylation of tRNA and the ATP/PPi exchange (uacyl/uexch) proved to be an efficient way to test parameters at the aminoacyl adenylation step.
MATERIALS AND METHODSThe isoleucyl-tRNA synthetase from E. coli B (specific activity 1.2 ymol inin-' mg protein-') and the assay mcthods