| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
|
|
|
|||||||
|
|||||||||
Clinical Chemistry, Vol 30, 1646-1651, Copyright © 1984 by American Association for Clinical Chemistry
O Siggaard-Andersen, PD Wimberley, I Gothgen and M Siggaard-Andersen
A mathematical model is described giving the oxygen saturation fraction (s) as a function of the oxygen partial pressure (p): y - y0 = x - x0 + h X tanh [k X (x - x0)], where y = kn[s/(1-s)] and x = ln(p/kPa). The parameters are: y0 = 1.875; x0 = 1.946 + a + b; h = 3.5 + a; k = 0.5343; b = 0.055 X [T/(K - 310.15)]; a = 1.04 X (7.4 - pH) + 0.005 X Cbase/(mmol/L) + 0.07 X [[CDPG/(mmol/L)] - 5], where Cbase is the base excess of the blood and CDPG is the concentration of 2,3- diphosphoglycerate in the erythrocytes. The Hill slope, n = dy/dx, is given by n = 1 + h X k X [1 - tanh2[k X (x - x0)]]. n attains a maximum of 2.87 for x = x0, and n----1 for x----+/- infinity. The model gives a very good fit to the Severinghaus standard oxygen dissociation curve and the parameters may easily be fitted to other oxygen dissociation curves as well. Applications of the model are described including the solution of the inverse function (p as a function of s) by a Newton- Raphson iteration method. The po2-temperature coefficient is given by dlnp/dT = [A X alpha X p + CHb X n X S X (1 - s) X B]/[alpha X p + CHB X n X s X (1 - s)], where A = -dln alpha/dT approximately equal to 0.012 K-1; B = (lnp/T)s = 0.073 K-1 for y = y0; alpha = the solubility coefficient of O2 in blood = 0.0105 mmol X L-1 X kPa-1 at 37 degrees C; CHb = concentration of hemoglobin iron in the blood. Approximate equations currently in use do not take the variations of the po2- temperature coefficient with p50 and CHb into account.
The following articles in journals at HighWire Press have cited this article:
|
|
 |
|
  M. K.-S. Leow Configuration of the hemoglobin oxygen dissociation curve demystified: a basic mathematical proof for medical and biological sciences undergraduates Advan Physiol Educ, June 1, 2007; 31(2): 198 - 201. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 M. Sawano, T. Mato, and H. Tsutsumi Bedside red cell volumetry by low-dose carboxyhaemoglobin dilution using expiratory gas analysis Br. J. Anaesth., February 1, 2006; 96(2): 186 - 194. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 N. S Stachenfeld, H. S Taylor, C. A Leone, and D. L Keefe Oestrogen effects on urine concentrating response in young women J. Physiol., November 1, 2003; 552(3): 869 - 880. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 R. W. Burnett Minimizing Error in the Determination of P50 Clin. Chem., March 1, 2002; 48(3): 567 - 570. [Full Text] [PDF]
|
|
|
|
 |
|
 K. Yoshitani, M. Kawaguchi, N. Sugiyama, M. Sugiyama, S. Inoue, T. Sakamoto, K. Kitaguchi, and H. Furuya The Association of High Jugular Bulb Venous Oxygen Saturation with Cognitive Decline After Hypothermic Cardiopulmonary Bypass Anesth. Analg., June 1, 2001; 92(6): 1370 - 1376. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 J. Wolber, A. Cherubini, A. S. K. Dzik-Jurasz, M. O. Leach, and A. Bifone Spin-lattice relaxation of laser-polarized xenon in human blood PNAS, March 30, 1999; 96(7): 3664 - 3669. [Abstract] [Full Text] [PDF]
|
|
| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
