Mechanism of adenylate kinase. Is there a relationship between local substrate dynamics, local binding energy, and the catalytic mechanism?

Adenylyl (beta,gamma-methylene)diphosphonic acid (AMPPCP) labeled with deuterium at the adenine ring ([8-2H]AMPPCP) and at the beta,gamma-methylene group (AMPPCD2P), as well as adenosine 5'-monophosphate labeled at the adenine ring ([8-2H]AMP), was synthesized and used for deuterium nuclear magnetic resonance (NMR) determination of effective correlation times (tau c) of the free nucleotide and the complexes with adenylate kinase (AK). Extensive and rigorous control experiments and theoretical analysis were performed to justify the validity of the experimental approaches, particularly the fast exchange condition, and the reliability of the tau c values obtained. For the free nucleotide, the results suggest that the phosphonate group of free AMPPCP possesses appreciable local mobility relative to the adenine ring and that complexation with Mg2+ greatly reduced such a local mobility. For the complexes with AK, effective tau c values of 7, 15, 28, 28, and 27 ns were obtained for AMPPCD2P, MgAMPPCD2P, [8-2H]AMPPCP, Mg[8-2H]AMPPCP, and [8-2H]AMP, respectively. These results suggest that the adenine ring of substrates is rigidly bound in all cases, that the phosphonate chain of AMPPCP possesses considerable local mobility, and that Mg2+ reduces such local mobility but does not totally immobilize it. The local dynamics of the analogues bound to AK was correlated with local binding energies for the binding of MgAMPPCP and MgATP to AK estimated from the binding studies by proton NMR and other techniques, in conjunction with the binding theory of Jencks [Jencks, W. P. (1981) Proc. Natl. Acad. Sci. U.S.A. 78, 4046-4050]. The results suggest that no general correlation exists between the local rigidity of portions of a bound substrate and the corresponding (ground state) local binding energy contributed by these portions. In particular, the adenosine moiety contributes little to the binding energy despite the fact that the adenine ring is rigidly bound; the triphosphate (PPPi) moiety behaves oppositely; Mg2+ immobilizes the triphosphate chain but does not enhance binding. Finally, isomers of the substitution-inert beta,gamma-bidentate Cr(III) complexes of adenosine 5'-triphosphate (CrATP) were used to probe two unresolved catalytic problems implicitly related to the local mobility of the phosphonate chain of AMPPCP in the AK-MgAMPPCP complex. The first problem concerns the result of electron paramagnetic resonance (EPR) studies that (Rp)- but not (Sp)-[beta-17O]ATP caused a line broadening in the Mn(II) EPR spectrum of the AK-MnATP complex [Kalbitzer, H. R., Marquetant, R., Connolly, B. A., & Goody, R. S. (1983) Eur. J. Biochem. 133, 221-227].(ABSTRACT TRUNCATED AT 400 WORDS)