Biology Reference
In-Depth Information
From Eq. (7-19) recall that:
2
3
4
X
4
¼
1
þ
K
41
½
O
2
þ
K
42
½
O
2
þ
K
43
½
O
2
þ
K
44
½
O
2
:
We can now rewrite Eq. (7-34) as:
X
X
4
X
X
4
4
4
1
1
X
4
½
i
i
1
N
¼
ip
ð
i
Þ¼
iK
4i
½
O
2
¼
O
2
iK
4i
½
O
2
i
¼
0
i
¼
0
i
¼
1
(7-35)
1
X
4
½
O
2
@X
O
2
@
ln
X
4
4
¼
O
2
¼½
O
2
:
@½
@½
The chain of calculations in Eq. (7-35) now establishes Eq. (7-20) for
tetramers.
REFERENCES
Bohr, C., Hasselbach, K. A., & Krogh, A. (1904). Uber einen in biologischer
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Edsall, J. T. (1972). Blood and hemoglobin: The evolution of knowledge of
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chemical structure to function in hemoglobin. Journal of the History of Biology, 5,
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Santayana, G. (1905). The life of reason. New York: Charles Scribner's Sons.
FURTHER READING
Adair, G. S. (1925). The osmotic pressure of haemoglobin in the absence of salts.
Proceedings of the Royal Society of London. Series A, Containing Papers of a
Mathematical and Physical Character, 109, 292-300.
Barcroft, J. (1914). The respiratory function of the blood (1st ed.). Cambridge, UK:
Cambridge University Press.
Hill, A. V. (1910). The possible effects of aggregation of the molecules of
haemoglobin on its dissociation curves. Journal of Physiology, 40, iv-vii.
Hill, A. V. (1913). The combinations of haemoglobin with oxygen and with
carbon monoxide. I. The Biochemistry Journal, 7, 471-480.
Hill, T. L. (1960). An introduction to statistical thermodynamics. Reading, MA:
Addison-Wesley Publishing.
H ¨ fner, G., & Hoppe-Seyler, S. (1884). Z. Physiol. Chemie, 8, 338-365.
Johnson, M. L. (1995). Statistical thermodynamic modeling of hemoglobin
cooperativity. Advances in Biophysical Chemistry, 5, 179-231.
Mills, F. C., Johnson, M. L., & Ackers, G. K. (1976). Oxygenation-linked subunit
interactions in human hemoglobin: Experimental studies on the concentration
dependence of oxygenation curves. Biochemistry, 15, 5350-5362.
Modell, B., Khan, M., & Darlison, M. (2000). Survival in beta-thalassaemia major
in the UK: Data from the UK Thalassaemia Register. Lancet, 355, 2051-2052.
Svedberg, T., & Nichols, J. B. (1927). The application of the oil turbine type of
ultracentrifuge to the study of the stability region of carbon monoxide-
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