Biochemistry
9th Edition
ISBN: 9781319114671
Author: Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher: W. H. Freeman
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Determine the Hill coefficient, n, for myoglobin (Mb), hemoglobin (Hb), and recombinant hemoglobin (HbX).
Given the results of the Hill plot and the dissociation curves, which of the following are true?
-
Oxygen binding by HbX is less cooperative than for Hb
-
The Hill coefficient for Hb is equal to the number of hemoglobin O2 binding sites
-
Oxygen binding by Hb is less cooperative than for Mb.
-
HbX will load less O2 in the lungs and unload less O2 in active tissues than normal Hb.
![The researcher uses the oxygen dissociation curve data in a Hill plot, plotting \( \log \left( \frac{Y}{1-Y} \right) \) versus \( \log pO_2 \).
**Hill Plot**
The graph displays three lines representing different proteins:
- **Myoglobin** (blue line)
- **Hemoglobin** (black line)
- **Mutated hemoglobin** (orange line)
The x-axis shows \( \log(pO_2) \) ranging from 0.25 to 2.00, and the y-axis shows \( \log \left( \frac{Y}{1-Y} \right) \) ranging from -3.00 to 2.00.
**A Hill Plot Explanation**
A Hill plot uses the Hill equation to quantitatively assess the degree of cooperativity in binding. The fractional saturation (\( Y \)) of hemoglobin by \( O_2 \) can be expressed as a function of hemoglobin’s \( P_{50} \).
\[ Y_{O_2} = \frac{pO_2^n}{pO_2^n + P_{50}^n} \]
The fractional binding equation for hemoglobin can be rearranged:
\[ \frac{Y}{1-Y} = \frac{pO_2^n}{P_{50}^n} \]
Taking the log of both sides yields the Hill equation, with the value of \( n \) equal to the Hill coefficient.
\[ \log \left( \frac{Y}{1-Y} \right) = n \log (pO_2) - \log P_{50}^n \]
**Determine the Hill coefficient, \( n \), for myoglobin (Mb), hemoglobin (Hb), and recombinant hemoglobin (HbX).**
*Myoglobin Hill Coefficient:*
Mb Hill coefficient \( = \) \_\_\_\_\_\_\_\_
*Hemoglobin Hill Coefficient:*
Hb Hill coefficient \( = \) \_\_\_\_\_\_\_\_
*Recombinant Hemoglobin Hill Coefficient:*
HbX Hill coefficient \( = \) \_\_\_\_\_\_\_\_
**Given the results of the Hill plot and the dissociation curves, which of the following are true?**
- [ ] Oxygen binding by HbX is less cooperative than for Hb.
- [](https://content.bartleby.com/qna-images/question/a061449e-1e75-4fa5-9e02-82a00bd019ab/3226a5d9-1480-4d14-bbae-db3cf0baed8b/iga0ql8_processed.png)
Transcribed Image Text:The researcher uses the oxygen dissociation curve data in a Hill plot, plotting \( \log \left( \frac{Y}{1-Y} \right) \) versus \( \log pO_2 \).
**Hill Plot**
The graph displays three lines representing different proteins:
- **Myoglobin** (blue line)
- **Hemoglobin** (black line)
- **Mutated hemoglobin** (orange line)
The x-axis shows \( \log(pO_2) \) ranging from 0.25 to 2.00, and the y-axis shows \( \log \left( \frac{Y}{1-Y} \right) \) ranging from -3.00 to 2.00.
**A Hill Plot Explanation**
A Hill plot uses the Hill equation to quantitatively assess the degree of cooperativity in binding. The fractional saturation (\( Y \)) of hemoglobin by \( O_2 \) can be expressed as a function of hemoglobin’s \( P_{50} \).
\[ Y_{O_2} = \frac{pO_2^n}{pO_2^n + P_{50}^n} \]
The fractional binding equation for hemoglobin can be rearranged:
\[ \frac{Y}{1-Y} = \frac{pO_2^n}{P_{50}^n} \]
Taking the log of both sides yields the Hill equation, with the value of \( n \) equal to the Hill coefficient.
\[ \log \left( \frac{Y}{1-Y} \right) = n \log (pO_2) - \log P_{50}^n \]
**Determine the Hill coefficient, \( n \), for myoglobin (Mb), hemoglobin (Hb), and recombinant hemoglobin (HbX).**
*Myoglobin Hill Coefficient:*
Mb Hill coefficient \( = \) \_\_\_\_\_\_\_\_
*Hemoglobin Hill Coefficient:*
Hb Hill coefficient \( = \) \_\_\_\_\_\_\_\_
*Recombinant Hemoglobin Hill Coefficient:*
HbX Hill coefficient \( = \) \_\_\_\_\_\_\_\_
**Given the results of the Hill plot and the dissociation curves, which of the following are true?**
- [ ] Oxygen binding by HbX is less cooperative than for Hb.
- [
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