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Updated: Aug 17, 2026

Steady-state, Pre-steady-state, and Single-turnover Kinetic Measurement for DNA Glycosylase Activity
Published on: August 19, 2013
On the relation between effector concentration and the rate of induced enzyme synthesis
Abstract:
The Jacob and Monod scheme for the regulation of enzyme formation leads to the following relation between the relative rate of enzyme synthesis alpha and cellular effector concentration E (the lower sign is for repressible systems): log (alpha/1 - alpha - alpha(b)) = +/- n log [E] + log alpha(b) +/- log K(1). This equation permits linear plotting of experimental data and the evaluation of three quantities: n, the number of effector molecules combining with a repressor molecule, K(1), the dissociation constant of this interaction and K(2)/R(t), the ratio of repressor-operator dissociation constant to total repressor concentration. Measurements on the repression of alkaline phosphatase in Escherichia coli as a function of phosphate concentration are reported and fit the proposed equation with n = 1, indicating that the binding of a single phosphate to the repressor species may be sufficient to cause repression. K(1) of this interaction was found to be 0.58 +/-0.11 x 10(-3) M. The available data regarding the enzymes of the lac operon in a variety of E. coli strains, and several other enzymes are analyzed. It is confirmed that the lac repressor interacts with 2 isopropyl thiogalactoside (IPTG) molecules to relieve repression with a K(1) = 50 +/-20 x 10(-12) M(2). In some strains, separate binding constants for the first and second IPTG molecules can be evaluated.
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