Derive the complete rate equation using the King altman method. Example is shown above the reaction mechanism. All the N terms must be derived.
Derive the complete rate equation using the King altman method. Example is shown above the reaction mechanism. All the N terms must be derived.
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
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Question
Derive the complete rate equation using the King altman method. Example is shown above the reaction mechanism. All the N terms must be derived.
![### Transcription of the Image: Kinetic Reaction Mechanisms
#### Mathematical Equations and Derivations:
1. **Equation for NFA:**
\[
NFA = k_1k_Ak_4k_6(I) + k_1k_3k_4k_6(I)(A)(I)
\]
\[
+ k_5k_6k_3k_4k_{10}(A)(E) + k_4k_6k_6k_{10}(P)(I)
\]
2. **Expression for \( v_0 \):**
\[
v_0 = E_T \left[ \frac{k_1N_Er - k_8(P)N_E}{\sum N_i} \right]
\]
3. **Relationship showing the chemical equilibrium:**
\[
E + A \rightleftharpoons EA \overset{k_3}{\rightleftharpoons} EAB \underset{k_8}{\overset{k_6}{\rightleftharpoons}} EP \rightleftharpoons E + P
\]
#### Conceptual Notes:
- **Derivation Objective:**
Derive the complete rate equation \( v_0 = \).
- **Inhibition Context:**
Competitive inhibition with respect to \( A \).
#### Diagrams:
- **Chemical Reaction Diagram:**
- Shows various rate constants and interactions between substrates and enzymes (represented by \( E \), \( A \), \( I \), \( P \)).
- Reactions are indicated with double-headed arrows (e.g., \(\rightleftharpoons\) for equilibrium) and specific reaction rate constants (e.g., \( k_1, k_3, k_4, k_6, k_{10} \)).
This transcription provides an overview of kinetic reactions involving enzymes and inhibitors, ideal for educational purposes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbae4477e-2b7b-488f-9059-6a6526f30619%2F119f99a9-0b64-45be-996b-4d17e118a1a4%2Fu8hdios_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transcription of the Image: Kinetic Reaction Mechanisms
#### Mathematical Equations and Derivations:
1. **Equation for NFA:**
\[
NFA = k_1k_Ak_4k_6(I) + k_1k_3k_4k_6(I)(A)(I)
\]
\[
+ k_5k_6k_3k_4k_{10}(A)(E) + k_4k_6k_6k_{10}(P)(I)
\]
2. **Expression for \( v_0 \):**
\[
v_0 = E_T \left[ \frac{k_1N_Er - k_8(P)N_E}{\sum N_i} \right]
\]
3. **Relationship showing the chemical equilibrium:**
\[
E + A \rightleftharpoons EA \overset{k_3}{\rightleftharpoons} EAB \underset{k_8}{\overset{k_6}{\rightleftharpoons}} EP \rightleftharpoons E + P
\]
#### Conceptual Notes:
- **Derivation Objective:**
Derive the complete rate equation \( v_0 = \).
- **Inhibition Context:**
Competitive inhibition with respect to \( A \).
#### Diagrams:
- **Chemical Reaction Diagram:**
- Shows various rate constants and interactions between substrates and enzymes (represented by \( E \), \( A \), \( I \), \( P \)).
- Reactions are indicated with double-headed arrows (e.g., \(\rightleftharpoons\) for equilibrium) and specific reaction rate constants (e.g., \( k_1, k_3, k_4, k_6, k_{10} \)).
This transcription provides an overview of kinetic reactions involving enzymes and inhibitors, ideal for educational purposes.
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