Mathematical Inverse Function (Equation) For Enzyme Kinetics

Authors

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

Keywords:

Baramati Constant,  mathematical approach

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

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International Journal of Scientific Research in Chemistry

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Published

2018-09-30

Issue

Volume 3, Issue 4, September-October-2018

Section

Research Articles

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How to Cite

[1]
Seema Karna Dongare, Manali Rameshrao Shinde, Vitthalrao Bhimasha Khyade , " Mathematical Inverse Function (Equation) For Enzyme Kinetics , International Journal of Scientific Research in Chemistry(IJSRCH), ISSN : 2456-8457, Volume 3, Issue 4, pp.35-42, September-October-2018.