A mathematical model for the computation of the oxygen dissociation curve in human blood

Biosystems ◽  
1989 ◽  
Vol 22 (3) ◽  
pp. 249-260 ◽  
Author(s):  
Maithili Sharan ◽  
M.P. Singh ◽  
A. Aminataei
Keyword(s):  
Mathematical Model ◽  
Human Blood ◽  
Oxygen Dissociation Curve ◽  
Dissociation Curve ◽  
Oxygen Dissociation

An electrolytic method for determining oxygen dissociation curves using small blood samples: the effect of temperature on trout and human blood

1976 ◽  
Vol 65 (1) ◽  
pp. 21-38
Author(s):  
G. M. Hughes ◽  
J. G. O'Neill ◽  
W.J. van Aardt
Keyword(s):  
Human Blood ◽  
Marked Effect ◽  
Effect Of Temperature ◽  
Oxygen Dissociation Curve ◽  
Dissociation Curve ◽  
Oxygen Dissociation ◽  
Fish Blood ◽  
Bohr Factor ◽  
Dissociation Curves ◽  
The Relationship

1. A detailed account is given of an electrolytic method for determining the oxygen dissociation curve of fish blood using a single sample of 50–100 mul for the whole curve. The accuracy and some of the problems arising from its uses are discussed. 2. Oxygen dissociation curves have been determined for trout blood and human blood at temperatures of 15 and 37 degrees C. The relationship between P50 and temperature is similar to that obtained using other methods. Absolute values of P50 are generally lower than those obtained by other methods, especially in the case of fish blood. 3. The effect of PCO2 and pH on the oxygen dissociation curve of trout blood is tested and it is shown that PCO2 has a more marked effect than pH when the other factor is maintained at a constant level. The Bohr factor (delta log P50/delta pH) appears to be approximately the same and independent of the PCO2. 4.The P50 of ray blood determined from fish during and after an operation showed an increased Bohr factor.

A mathematical model of the hemoglobin-oxygen dissociation curve of human blood and of the oxygen partial pressure as a function of temperature.

1984 ◽  
Vol 30 (10) ◽  
pp. 1646-1651 ◽  
Author(s):  
O Siggaard-Andersen ◽  
P D Wimberley ◽  
I Göthgen ◽  
M Siggaard-Andersen
Keyword(s):  
Mathematical Model ◽  
Oxygen Partial Pressure ◽  
Partial Pressure ◽  
Temperature Coefficient ◽  
Inverse Function ◽  
Oxygen Dissociation Curve ◽  
Dissociation Curve ◽  
Oxygen Dissociation ◽  
Hill Slope ◽  
Dissociation Curves

Abstract 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.

Red-cell 2,3-diphosphoglycerate in patients with hyperthyroidism

1980 ◽  
Vol 93 (4) ◽  
pp. 424-429 ◽  
Author(s):  
J. L. Alvarez-Sala ◽  
M. A. Urbán ◽  
J. J. Sicilia ◽  
A. J. Diaz Fdez ◽  
F. Fdez Mendieta ◽  
...  
Keyword(s):  
Thyroid Hormones ◽  
Control Group ◽  
Red Cell ◽  
Oxygen Dissociation Curve ◽  
Dissociation Curve ◽  
Oxygen Dissociation ◽  
The Right ◽  
Serum Thyroid Hormones ◽  
Hyperthyroid Patients ◽  
2,3 Dpg

Abstract. In 21 hyperthyroid female patients studied on 29 occasions, high levels of red-cell 2,3-diphosphoglycerate (2,3-DPG) have been found (5.75 ± 0.7 mm) which, compared to a euthyroid control group (4.88 ± 0.4 mm), could not be accounted for by differences in haematocrit, haemoglobin or phosphataemia. A significant correlation was found (P < 0.05) between serum thyroid hormones and the 2,3-DPG concentration in the hyperthyroid patients. Eight of these patients were reexamined after treatment and normalization of thyroid function, showed a regression to normal 2,3-DPG values (4.81 ± 0.6 mm) which could not be attributed to variations in haematocrit, haemoglobin or phosphataemia either. We therefore deduce that the shift to the right in the haemoglobin oxygen dissociation curve observed in patients of this type may be due to an increase in the red-cell 2,3-DPG content.

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