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Mathematical Inverse Function (Equation) For Enzyme Kinetics

Author

Listed:
  • Seema Karna Dongare
  • Manali Rameshrao Shinde
  • Vitthalrao Bhimasha Khyade

Abstract

The most significant application of Lineweaver–Burk plot lies in the determination of Michaelis constant (Km), substrate concentration [S] at which the velocity (v) of the enzyme catalyzed biochemical reaction attain half of it’s maximum (Vmax ÷ 2). For practical purposes, Km is the concentration of substrate which allows the enzyme velocity to achieve half of it’s maximum Vmax (Vmax ÷ 2). Most points on the plot are found far to the right of the y-axis. Through the reverse the mathematical steps and get inverse of substrate concentration (1÷S) back from some output value, say inverse of respective velocity (1÷v), one should undo each step in reverse order. It means that, one should subtract the inverse of maximum velocity (1÷Vmax) from inverse of respective velocity (1÷v) and then multiply the result by . This is going to yield the equation correspond to: = . The 1÷S and 1÷v for given enzyme catalyzed biochemical reaction deserve symmetry, that is to say the symmetry between a Lineweaver Burk Plot (the real function) and the inverse function for enzyme kinetics of present attempt. The co-ordinates of the point of intersection of both the equations = and = correspond to: ( , ) . This type of attempt may establish the baseline for classification of enzymes through mathematical principles

Suggested Citation

  • Seema Karna Dongare & Manali Rameshrao Shinde & Vitthalrao Bhimasha Khyade, 2018. "Mathematical Inverse Function (Equation) For Enzyme Kinetics," International Journal of Scientific Research in Chemistry, International Journal of Scientific Research in Chemistry, vol. 3(4), pages 35-42, September.
    • Handle: RePEc:cuo:ijsrch:v3:y2018:i4:id:hijsrch18345
    Note: Article URL: https://ijsrch.com/IJSRCH18345
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