Physical nature of intermolecular interactions within cAMP-dependent protein kinase active site: Differential transition state stabilization in phosphoryl transfer reaction

The origin of enzyme catalytic activity may be effectively explored within the nonempirical theory of intermolecular interactions. The knowledge of electrostatic, exchange, delocalization, and correlation components of the transition state and substrates stabilization energy arising from each enzyme active site residue allows to examine the most essential physical effects involved in enzymatic catalysis. Consequently, one can build approximate models of the catalytic activity in a systematic and legitimate manner. Whenever the dominant role of electrostatic interactions is recognized or assumed, the properties of an optimal catalytic environment could be simply generalized and visualized by means of catalytic fields that, in turn, aids the design of new catalysts. Differential transition state stabilization (DTSS) methodology has been applied herein to the phosphoryl transfer reaction catalyzed by cAMP-dependent protein kinase (PKA). The MP2 results correlate well with the available experimental data and theoretical findings indicating that Lys72, Asp166, and the two magnesium ions contribute -22.7, -13.3, -32.4, and -15.2 kcal/mol to differential transition state stabilization, respectively. Although all interaction energy components except that of electron correlation contribution are meaningful, the first-order electrostatic term correlates perfectly with MP2 catalytic activity. Catalytic field technique was also employed to visualize crucial electrostatic features of an ideal catalyst and to compare the latter with the environment provided by PKA active site. The map of regional electronic chemical potential was used to analyze the unfavorable catalytic effect of Lys168. It was found that locally induced polarization of TS atoms thermodynamically destabilizes electrons, pulling them to regions displaying higher electronic chemical potential.