Explanation Given: The Michaelis-Menten relation expresses the initial speed of the reaction as a rational function of the initial concentration of the substrate: v = V s s + K m … ( 1 ) where v is the initial speed of the reaction (in moles per liter per second). s is the initial concentration of the substrate (in moles per liter), and V and K m are constants that are important measures of the kinetic properties of the enzyme. Approach: The line corresponding to the limiting value of the function is called horizontal asymptote. Calculation: Substitute 50 for V , 20 for K m in equation ( 1 ) . v = 50 s s + 20 For the graph, input Y 1 = 50 X X + 20 and Y 2 = 50 , set the window [ X min = 0 , X max = 200 , X scl = 20 , Y min = 0 , Y max = 200 ] and press Graph key to obtain the following graph, To determine (b) To find: The value of s that makes v ( s ) = V / 2 using graph and its relation with K m . To determine (c) To find: The use of graph for determining V and K m .

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ISBN: 9780357422496

Author: Crauder

Publisher: CENGAGE L

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Chapter 5.6, Problem 14E

To determine

(a)

To find:

The horizontal asymptote of v on the basis of graph.

To determine

(b)

To find:

The value of s that makes v(s)=V/2 using graph and its relation with Km.

To determine

(c)

To find:

The use of graph for determining V and Km.

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Chapter 5.6, Problem 13E

Chapter 5.6, Problem 15E

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(a) To find: The horizontal asymptote of v on the basis of graph.

Solution Summary: The author explains how the Michaelis-Menten relation expresses the initial speed of the reaction as a rational function.

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(a) To find: The horizontal asymptote of v on the basis of graph.

(b) To find: The value of s that makes v(s)=V/2 using graph and its relation with Km.

(c) To find: The use of graph for determining V and Km.

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Chapter 5 Solutions

(a)

To find:

The horizontal asymptote of v on the basis of graph.

(b)

To find:

The value of s that makes v(s)=V/2 using graph and its relation with Km.

(c)

To find:

The use of graph for determining V and Km.