A simple equation is presented for the prediction of catalytic efficiencies and Michaelis constants for pairs of mutant serine proteases and substrates with variable P1 side chains. The equation is a generalization of the "similis simili gaudet" principle formulated by Gráf et al.  (Proc. Natl. Acad. Sci. U.S.A. 85 (1988) 4961, stating that in water amino-acid side chains with similar polarities tend to Interact stronger than dissimilar ones.
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