The value of kcat for N-Ac-Phe-OC₂H5 is two-fold greater than that for the L-tryptophanyl analog and more than 10-fold greater than the value of kcat for the ester substrate N-Ac-Leu-OC2H5. Does this mean that N-Ac-Phe-OC2H5 exhibits greater specificity as a substrate than the other ester sub- strates? On what basis do you base your conclusion? Also, which kinetic parameters help to distin- guish between specificity (of substrate recognition) and affinity o0f a substrate when comparing a se- ries of substrates of an enzyme?

Biochemistry
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Chapter1: Biochemistry: An Evolving Science
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### Understanding Kinetic Parameters in α-Chymotrypsin Reactions

**Reaction Scheme:**
The kinetic parameters for synthetic ester and peptide substrates of α-chymotrypsin are analyzed using the following reaction scheme:
\[ \text{E + S} \underset{k_{-1}}{\overset{k_{1}}{\rightleftharpoons}} \text{ES} \overset{k_{2}}{\rightarrow} \text{ES'} \underset{P_1}{\rightarrow} \text{E + } P_2 \]
- **ES**: Michaelis complex
- **ES'**: Acyl-enzyme complex
- **P1**: First product released
- **P2**: Second product

Parameters include:
- **k2**: Acylation rate constant
- **k3**: Deacylation rate constant
- **\(k_{cat}\)**: Maximum turnover number (calculated as \( \frac{k_{2} k_{3}}{k_{2} + k_{3}} \))

### Substrate Definitions:
- **N-Ac**: N-acetyl
- **−CONH2**: Carboxamide
- **−OC2H5**: Ethyl ester
- **p-nitroanilide**: −NH−C6H4−NO2

### Kinetic Parameters Table:

| Substrate                | \(k_2\) (s\(^{-1}\)) | \(k_3\) (s\(^{-1}\)) | \(k_{cat}\) (s\(^{-1}\)) | \(K_M\) (mM) | \(\frac{k_{cat}}{K_M}\) (mM\(^{-1}\) s\(^{-1}\)) |
|--------------------------|----------------------|----------------------|--------------------------|--------------|-------------------------------------|
| N-Ac-Trp-OC2H5           | 3.5                  | 0.84                 | 0.82                     | 0.08         | 10.3                                |
| N-Ac-Phe-OC2H5           | 13.0                 | 2.2                  | 1.9                      | 1.3          | 1.5                                 |
| N-Ac-Leu-OC2H5           | 3.2                  |
Transcribed Image Text:### Understanding Kinetic Parameters in α-Chymotrypsin Reactions **Reaction Scheme:** The kinetic parameters for synthetic ester and peptide substrates of α-chymotrypsin are analyzed using the following reaction scheme: \[ \text{E + S} \underset{k_{-1}}{\overset{k_{1}}{\rightleftharpoons}} \text{ES} \overset{k_{2}}{\rightarrow} \text{ES'} \underset{P_1}{\rightarrow} \text{E + } P_2 \] - **ES**: Michaelis complex - **ES'**: Acyl-enzyme complex - **P1**: First product released - **P2**: Second product Parameters include: - **k2**: Acylation rate constant - **k3**: Deacylation rate constant - **\(k_{cat}\)**: Maximum turnover number (calculated as \( \frac{k_{2} k_{3}}{k_{2} + k_{3}} \)) ### Substrate Definitions: - **N-Ac**: N-acetyl - **−CONH2**: Carboxamide - **−OC2H5**: Ethyl ester - **p-nitroanilide**: −NH−C6H4−NO2 ### Kinetic Parameters Table: | Substrate | \(k_2\) (s\(^{-1}\)) | \(k_3\) (s\(^{-1}\)) | \(k_{cat}\) (s\(^{-1}\)) | \(K_M\) (mM) | \(\frac{k_{cat}}{K_M}\) (mM\(^{-1}\) s\(^{-1}\)) | |--------------------------|----------------------|----------------------|--------------------------|--------------|-------------------------------------| | N-Ac-Trp-OC2H5 | 3.5 | 0.84 | 0.82 | 0.08 | 10.3 | | N-Ac-Phe-OC2H5 | 13.0 | 2.2 | 1.9 | 1.3 | 1.5 | | N-Ac-Leu-OC2H5 | 3.2 |
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