The Indian Square for Enzyme Kinetics Through the Regular Form of Lineweaver-Burk Plot (Double Reciprocal Plot); It's Inverse Form and Other Additional Form of Plots (Equations)

Authors

  • Vitthalrao Bhimasha Khyade  Science Association, Shardabai Pawar Mahila Mahavidyalaya, Shardanagar Tal. Baramati Dist. Pune, Maharashtra, India
  • Seema Karna Dongare  Science Association, Shardabai Pawar Mahila Mahavidyalaya, Shardanagar Tal. Baramati Dist. Pune, Maharashtra, India
  • Manali Rameshrao Shinde  Science Association, Shardabai Pawar Mahila Mahavidyalaya, Shardanagar Tal. Baramati Dist. Pune, Maharashtra, India

Keywords:

Indian Square, Enzyme Kinetics, Mathematical Approach

Abstract

Each enzyme deserves a specific Michaelis-Menten constant (Km), which is determined through the double reciprocal plot, also recognized as Lineweaver-Burk plot. This constant of Michaelis-Menten (Km) is concentration of substrate [S] and it avails the velocity (v) of reaction to proceed up to half of it’s maximal or Vmax. The regular Lineweaver-Burk plot and it’s inverse form are designated as y1 and y2 lines respectively. Present attempt is considering additional plots or the lines keeping the concept in regular Lineweaver-Burk plot constant. These plots include: y3 and y4. In slope and intercept form the lines y3 and y4 expressed as: y3= -[(Km÷Vmax)(X)] + [(km+1)÷(Vmax)] and y4= -[(Vmax÷Km)(X)] + [(Vmax -1)÷(Km)]. In addition; y5 = X + 0 and y6 = - X + 1 are the two reference lines are also considered in this attempt. The line y3 intersect the reference line y5 at the point “A”, the x- co-ordinate and y- co-ordinate of which are equal to each other and correspond to: [(Km+1)÷(Vmax+Km)]. The line y1 intersect the reference line y6 at the point “B”, the x- co-ordinate and y- co-ordinate of which respectively correspond to: [(Vmax – 1) ÷ (Vmax + Km)] and [(Km + 1) ÷ (Vmax + Km)]. The point at which the reference line y5 attains [(Vmax – 1) ÷ (Vmax + Km)] is labeled as the point “C”. The X – co-ordinate and Y – co-ordinate of the point “C” corresponds to: [(Vmax – 1) ÷ (Vmax + Km)] [(Km + 1) ÷ (Vmax + Km)] respectively. The point of intersection of the line y2 and the reference line y6 is labeled as the point “D”. The X – co-ordinate and Y – co-ordinate of the point “D” corresponds to: [(Km + 1) ÷ (Vmax + Km)] and [(Vmax – 1) ÷ (Vmax + Km)] respectively. The length of segment AB=BC=CD=DA and it correspond to: [(Vmax - Km - 2) ÷ (Vmax + Km)]. The point “A”; “B”; “C” and “D” constitute the vertices of square ABCD. The resulting mathematical square, herewith labeled as: “Indian Square For Enzyme Kinetics”. Each of the four vertices (corners) have known coordinates in terms of Vmax and Km, the key indices in enzyme kinetics.

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International Journal of Scientific Research in Chemistry

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[1]
Vitthalrao Bhimasha Khyade, Seema Karna Dongare, Manali Rameshrao Shinde, " The Indian Square for Enzyme Kinetics Through the Regular Form of Lineweaver-Burk Plot (Double Reciprocal Plot); It's Inverse Form and Other Additional Form of Plots (Equations), International Journal of Scientific Research in Chemistry(IJSRCH), ISSN : 2456-8457, Volume 4, Issue 1, pp.39-56, January-February-2019.