Biogeometric Model for the Magnification of the Mechanism of Enzyme Catalyzed Reaction through the Utilization of Principles of Nine-Point Circle for the Triangular Form of Lineweaver-Burk Plot in Biochemistry (2020)

The bio-geometrical model is dealing with correlation between the “five events for enzyme catalyzed reaction” and “triple point event serving groups on the circle” in triangular form of Lineweaver-Burk plot for magnification of the mechanism of enzyme catalyzed reaction. This model is based on the five point circle in the triangular form of Lineweaver-Burk plot for enzyme kinetics. The five significant points resulted for the circle with x–and y–-coordinates include: B [1, (1 ÷ V max )]; D [(1 ÷ 2), (Km + 2) ÷ (2 V max )]; E [1, (Km+2) ÷ 2V max )]; F [(1 ÷ 2), (1 ÷ V max )] and the point “G”. The x-coordinate of the point “G” corresponds to: [(V max 2 ) ÷ (V max 2 +Km 2 ] and the y-coordinate of the point “G” corresponds to: [Km (V max 2 +Km) + V max 2 ] ÷ [(V max 2 + Km 2 ) V max ]. The x-coordinate and y-coordinate for the point “O” representing center of circle in the attempt corresponds to: [(3 ÷ 4)] and [(Km+4) ÷ (4V max )] respectively. The bio-geometrical model considers representation of the significant interaction between the enzyme and substrate for the successful release of product through the each and every point on the five point circle in the triangular form of Lineweaver-Burk plot for enzyme kinetics. The controlling role of the point, “O”, center of circle in each and every event of the biochemical reaction is obligatory. The model is allotting specific role for the significant events in the biochemical reaction catalyzed by the enzymes. The process of biochemical catalysis through the enzymes 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 interaction of enzyme and substrate; (2) The event of the first transition state for the formation of enzyme-substrate complex; (3) The event of the second transition state for the formation of enzyme-product complex; (4) The 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 triangular form of Lineweaver-Burk plot for magnification of the mechanism of enzyme catalyzed reaction. Keywords: Triangular form, Double reciprocal plot, Five point circle, Substrate, enzyme. Cite this Article: Vitthalrao Bhimasha Khyade, Alec John Jeffreys. Biogeometric Model for the Magnification of the Mechanism of Enzyme Catalyzed Reaction through the Utilization of Principles of Nine-Point Circle for the Triangular Form of Lineweaver-Burk Plot in Biochemistry. International Journal of Biochemistry and Biomolecules. 2020; 6(2): 1–23p.