Structure-activity relationships in engineered proteins: analysis of use of binding energy by linear free energy relationships.

The activity of mutant enzymes can be analyzed quantitatively by structure-activity relationships in a manner analogous to Brønsted or Hammett plots for simple organic reactions. The slopes of such plots, the beta values, indicate for the enzymatic reactions the fraction of the overall binding energy used in stabilizing particular complexes. In particular, information can be derived about the interactions between the enzyme and the transition state. The activities of many mutant tyrosyl-tRNA synthetases fit well simple linear free energy relationships. The formation of enzyme-bound tyrosyl adenylate (E.Tyr-AMP) from enzyme-bound tyrosine and ATP (E.Tyr-ATP) results in an increase in binding energy between the enzyme and the side chain of tyrosine and the ribose ring of ATP. Linear free energy plots of enzymes mutated in these positions give the fraction of the binding energy change that occurs on formation of the transition state for the chemical reaction and the various complexes. It is shown that groups that specifically stabilize the transition state of the reaction are characterized by beta values much greater than 1. This is found for residues that bind the gamma-phosphate of ATP (Thr-40 and His-45) and have previously been postulated to be involved in transition-state stabilization.(ABSTRACT TRUNCATED AT 250 WORDS)