Here, we used stopped-flow fluorescence techniques to conduct a comparative kinetic analysis of the conformational transitions in human apurinic/apyrimidinic endonuclease 1 (APE1) and in DNA containing an abasic site in the course of their interaction. Effects of monovalent (K(+)) and divalent (Mg(2+), Mn(2+), Ca(2+), Zn(2+), Cu(2+), and Ni(2+)) metal ions on DNA binding and catalytic stages were studied. It was shown that the first step of substrate binding (corresponding to formation of a primary enzyme-substrate complex) does not depend on the concentration (0.05-5.0 mM) or the nature of divalent metal ions. In contrast, the initial DNA binding efficiency significantly decreased at a high concentration (5-250 mM) of monovalent K(+) ions, indicating the involvement of electrostatic interactions in this stage. It was also shown that Cu(2+) ions abrogated the DNA binding ability of APE1, possibly, due to a strong interaction with DNA bases and the sugar-phosphate backbone. In the case of Ca(2+) ions, the catalytic activity of APE1 was lost completely with retention of binding potential. Thus, the enzymatic activity of APE1 is increased in the order Zn(2+) < Ni(2+) < Mn(2+) < Mg(2+). Circular dichroism spectra and calculation of the contact area between APE1 and DNA reveal that Mg(2+) ions stabilize the protein structure and the enzyme-substrate complex.

In this paper a general definition of quantum conditional entropy for infinite-dimensional systems is given based on recent work of Holevo and Shirokov [3] devoted to quantum mutual and coherent informations in the infinite-dimensional case. The properties of the conditional entropy such as monotonicity, concavity and subadditivity are also generalized to the infinite-dimensional case.

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