Biochemistry
Biochemistry
6th Edition
ISBN: 9781305577206
Author: Reginald H. Garrett, Charles M. Grisham
Publisher: Cengage Learning
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Textbook Question
Chapter 13, Problem 1P

Answers to all problems are at the end of this book. Detailed solutions are available in the Student Solutions Manual, Study Guide, and Problems Book.

Exploring the Michaelis-Menten Equation - I According to the Michaelis-Menten equation, what is the v/Vmax ratio when [S] = 4 Km?

Expert Solution & Answer
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Interpretation Introduction

To propose:

With the use of Michaelis-Menten equation I, the value of υ / Vmax ratio when [S] = 4 Km .

Introduction:

The Michaelis-Menten Equation relates reaction velocity with substrate concentration where they form an enzyme-substrate complex which further reacts irreversibly to form a product and free enzyme and it can be represented mathematically as below:

  E+SESE+P

  υ=d[P]dt=Vmax[S]Km+[S]

Where,

  • Vmax= maximum velocity
  • Km= Michaelis-Menten constant
  • [S]= substrate concentration

Explanation of Solution

For enzyme kinetics, Leonor Michaelis, a German biochemist had made a very best-understood and known model as Michaelis-Menten equation. The rate in enzyme reactions, in relation to the rate of reaction υ

  υ=d[P]dt=Vmax[S]Km+[S]

Where,

  • Vmax= at the time of saturation, the maximum rate achieved by any system
  • Km = Michaelis- Menten constant and at the time of this, the value of Vmaxbecomes half.

Now, we have the value [S] = 4 Km and we can determine the value of υ / Vmax

ratio as below:

  υ=d[P]dt=V max[S]Km+[S]υ=V max×4KmKm+4Kmυ=4V max5υV max=0.8

Therefore, the value of υ / Vmax ratio when [S] = 4 Km is 0.8.

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