Magnification of the Mechanism of Enzyme Catalyzed Reaction through Geometric Model

Abstract

The geometric model is dealing with correlation between the “five events for enzyme catalyzed reaction” and “triple point event serving groups on the circle” in triangle obtained for thegraphical presentation of the double reciprocal (1÷S versus 1÷V) for magnification of the mechanism of enzyme catalyzed reaction. This model is based on the nine point circle in triangle of the double reciprocal plot. The five significant points resulted for the circle with x – and y – coordinates include: B [1, (1÷Vmax)]; D [(1÷2), (Km+2) ÷ (2Vmax)]; E [1, (Km+2) ÷ 2Vmax)]; F [(1÷2), (1÷Vmax)] and the point “G”. [(Vmax²) ÷ (Vmax²+Km²] is the x- coordinate for the point G.[Km (Vmax²+Km) + Vmax²] ÷ [(Vmax²+Km²) Vmax] is the y- coordinate for the point G. The x- coordinate and y- coordinate for the point “O” representing center of circle in the attempt corresponds to: [(3÷4)] and [(Km+4) ÷ (4Vmax)] respectively. The present attempt is considering interactionsamong enzymes and substrates for the successful release of product through the each and every point on the circle in triangle. The controlling role of the point, “O”, center of circle in each and every event of the biochemical reaction is obligatory.  The model is alloting specific role for the significant events in the biochemical reaction catalyzed by the enzymes. The enzymatic catalysis is supposed to be completed through five events, which may be named as, “Bio-geometrical events of enzyme catalyzed reaction”. These five events for enzyme catalyzed reaction include: (1) Initial event of enzymatic interaction with the substrates; (2) Event of the first transition state for the formation of “enzyme-substrate” complex; (3) Event of the second transition state for the formation of “enzyme-product” complex; (4) Event of release of the product and relieve enzyme and (5) The event of directing the enzyme to continue the reaction. The model utilizes the “triple point serving group on the circle” for the success of each and every event in the biochemical reaction. Thus, there is involvement of the three points including the point “O” for each event in the enzyme catalyzed reaction. The group of points serving for carrying out the event may be classified into five conic sections like: B-O-E; E-O-G; G-O-D; D-O-F and F-O-B. The bio-geometrical model is correlation between the “five events for enzyme catalyzed reaction” and “triple point event serving groups on the circle”in a triangle of the double reciprocal plot.

Key Words: Triangular form, double reciprocal plot, five point circle, substrate, enzyme.