Blood HbO2 and HbCO2 dissociation curves at varied O2, CO2, pH, 2,3-DPG and temperature levels
Blood HbO2 and HbCO2 dissociation curves at varied O2, CO2, pH, 2,3-DPG and temperature levels
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DOI：
10.1007/s10439-004-7821-6
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发表时间：
2004-12-01
影响因子：
3.8
通讯作者：
Bassingthwaighte, JB
中科院分区：
文献类型：
--
作者：
Dash, RK;Bassingthwaighte, JB
这里根据 O-2 和 CO2 与红细胞内血红蛋白的平衡结合，开发了血红蛋白 O-2 和 CO2 饱和度（S-HbO2 和 S-HbCO2）的新数学模型方程。它们采用可逆 Hill 型方程的形式，其中 S-HbO2 和 S-HbCO2 表达式中的表观 Hill 系数 K-HbO2 和 K-HbCO2 取决于血液中 O-2 和 CO2 分压（P-O2 和 P-CO2）水平、pH、2,3-DPG 浓度和温度。这些新方程的可逆性使得可以根据 S-HbO2 和 S-HbCO2 有效地计算 P-O2 和 P-CO2，反之亦然。根据这些方程计算出的氧合血红蛋白 (HbO(2)) 和碳氨基血红蛋白 (HbCO(2)) 解离曲线与文献中已发表的实验和理论曲线非常一致。模型解描述了在标准生理条件下，血红蛋白约 97.2% 被 O-2 饱和，血红蛋白的氨基约 13.1% 被 CO2 饱和。全血中的 O-2 和 CO2 含量也可根据气体溶解度、血细胞比容以及 S-HbO2 和 S-HbCO2 的新公式进行计算。由于数学简单性和可逆性，这些新公式可以方便地用于肺泡-血液和血液-组织交换系统中O-2和CO2同时运输和交换的建模。
New mathematical model equations for O-2 and CO2 saturations of hemoglobin (S-HbO2 and S-HbCO2) are developed here from the equilibrium binding of O-2 and CO2 with hemoglobin inside RBCs. They are in the form of an invertible Hill-type equation with the apparent Hill coefficients K-HbO2 and K-HbCO2 in the expressions for S-HbO2 and S-HbCO2 dependent on the levels of O-2 and CO2 partial pressures (P-O2 and P-CO2), pH, 2,3-DPG concentration, and temperature in blood. The invertibility of these new equations allows P-O2 and P-CO2 to be computed efficiently from S-HbO2 and S-HbCO2 and vice-versa. The oxyhemoglobin (HbO(2)) and carbamino-hemoglobin (HbCO(2)) dissociation curves computed from these equations are in good agreement with the published experimental and theoretical curves in the literature. The model solutions describe that, at standard physiological conditions, the hemoglobin is about 97.2% saturated by O-2 and the amino group of hemoglobin is about 13.1% saturated by CO2. The O-2 and CO2 content in whole blood are also calculated here from the gas solubilities, hematocrits, and the new formulas for S-HbO2 and S-HbCO2. Because of the mathematical simplicity and invertibility, these new formulas can be conveniently used in the modeling of simultaneous transport and exchange of O-2 and CO2 in the alveoli-blood and blood-tissue exchange systems.