Erratum to: Blood HbO₂ and HbCO₂ Dissociation Curves at Varied O₂, CO₂, pH, 2,3-DPG and Temperature Levels

摘要

New mathematical model equations for O₂ and CO₂ saturations of hemoglobin ( and ) are developed here from the equilibrium binding of O₂ and CO₂ with hemoglobin inside RBCs. They are in the form of an invertible Hill-type equation with the apparent Hill coefficients and in the expressions for and dependent on the levels of O₂ and CO₂ partial pressures ( and ), pH, 2,3-DPG concentration, and temperature in blood. The invertibility of these new equations allows and to be computed efficiently from and and vice versa. The oxyhemoglobin (HbO₂) and carbamino-hemoglobin (HbCO₂) 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 O₂ and the amino group of hemoglobin is about 13.1% saturated by CO₂. The O₂ and CO₂ content in whole blood are also calculated here from the gas solubilities, hematocrits, and the new formulas for and . Because of the mathematical simplicity and invertibility, these new formulas can be conveniently used in the modeling of simultaneous transport and exchange of O₂ and CO₂ in the alveoli–blood and blood–tissue exchange systems.