b) From the following data on an enzymatic reaction based on competitive inhibition, determine (a) KM for the enzyme, and (b) Kị for the inhibitor-enzyme complex. Substrate Product per hour, Hg Çoncentration, mM No inhibitor 6 mM inhibitor 2.0 139 88 121 149 179 213 313 370 3.0 4.0 10.0 257 15.0 313

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Chapter1: Introduction
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Question
b) From the following data on an enzymatic reaction based on competitive inhibition,
determine (a) KM for the enzyme, and (b) Kị for the inhibitor-enzyme complex.
Substrate
Product per hour, µg
Çoncentration,
mM
No inhibitor
6 mM inhibitor
88
139
179
213
2.0
121
149
3.0
4.0
10.0
313
257
370
313
15.0
Transcribed Image Text:b) From the following data on an enzymatic reaction based on competitive inhibition, determine (a) KM for the enzyme, and (b) Kị for the inhibitor-enzyme complex. Substrate Product per hour, µg Çoncentration, mM No inhibitor 6 mM inhibitor 88 139 179 213 2.0 121 149 3.0 4.0 10.0 313 257 370 313 15.0
a)
The competitive inhibition model is based on the following premises:
1)
2)
The enzyme lacks absolute specificity
The substrate and the inhibitor compete for active site
E+S+
ES k2, E+P
E+I<,
k_3
EI
3)
Assumptions :
• Based on steady state approximation
d(ES)/ dt = 0=d(EI)/ dt
E+P-ES in negligible
...
• E«S
Constant reactor volume V, temperature (T), and PH
Initial rate (no enzyme degradation)
Derive the Michaelis-Menten equation for competitive inhibition as the following
expression:
V =Vm(S)/{K„[1.0+(I)/K¡]+ S}
where
K = (k_, +k,)k,
V, = k, E,
K; = k_/k,
I=the inhibitor concentration
%3D
Transcribed Image Text:a) The competitive inhibition model is based on the following premises: 1) 2) The enzyme lacks absolute specificity The substrate and the inhibitor compete for active site E+S+ ES k2, E+P E+I<, k_3 EI 3) Assumptions : • Based on steady state approximation d(ES)/ dt = 0=d(EI)/ dt E+P-ES in negligible ... • E«S Constant reactor volume V, temperature (T), and PH Initial rate (no enzyme degradation) Derive the Michaelis-Menten equation for competitive inhibition as the following expression: V =Vm(S)/{K„[1.0+(I)/K¡]+ S} where K = (k_, +k,)k, V, = k, E, K; = k_/k, I=the inhibitor concentration %3D
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