Characterization of Oxygen-Hemoglobin Equilibrium Curves Using Nonlinear Regression of the Hill Equation: Parameter Values for Normal Human Adults

Abstract
Measurements of oxygen concentration versus PO2 in blood from 33 normal adults were fitted, using a special nonlinear regression analysis, to the Hill equation to obtain the parameters describing the position (P50) and shape (n) of each oxygen-hemoglobin equilibrium curve (OHEC). Data between 20% and 97% saturation were described well by this empirical two-parameter model. The mean (+ SD) P50 and n were found to be 26.2 (+ 0.8) torr and 2.50 (+0.07), respectively, in good agreement with previously published values. Some normal individuals, however, deviated markedly from the averages indicating that the published values cannot be applied to everyone.

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