Severinghaus J W
J Appl Physiol Respir Environ Exerc Physiol. 1979 Mar;46(3):599-602. doi: 10.1152/jappl.1979.46.3.599.
Hill's equation can be slightly modified to fit the standard human blood O2 dissociation curve to within plus or minus 0.0055 fractional saturation (S) from O less than S less than 1. Other modifications of Hill's equation may be used to compute Po2 (Torr) from S (Eq. 2), and the temperature coefficient of Po2 (Eq. 3). Variations of the Bohr coefficient with Po2 are given by Eq. 4. S = (((Po2(3) + 150 Po2)(-1) x 23,400) + 1)(-1) (1) In Po2 = 0.385 In (S-1 - 1)(-1) + 3.32 - (72 S)(-1) - 0.17(S6) (2) DELTA In Po2/delta T = 0.058 ((0.243 X Po2/100)(3.88) + 1)(-1) + 0.013 (3) delta In Po2/delta pH = (Po2/26.6)(0.184) - 2.2 (4) Procedures are described to determine Po2 and S of blood iteratively after extraction or addition of a defined amount of O2 and to compute P50 of blood from a single sample after measuring Po2, pH, and S.
希尔方程可稍作修改,以便在0<S<1的范围内,将标准人体血液氧解离曲线拟合至分数饱和度(S)的正负0.0055以内。希尔方程的其他修改形式可用于根据S计算血氧分压(Po2,单位为托)(公式2),以及Po2的温度系数(公式3)。波尔系数随Po2的变化情况由公式4给出。S = ((((Po2³ + 150Po2)⁻¹ × 23400) + 1)⁻¹) (1)lnPo2 = 0.385ln((S⁻¹ - 1)⁻¹) + 3.32 - (72S)⁻¹ - 0.17(S⁶) (2)ΔlnPo2/ΔT = 0.058(((0.243 × Po2/100)³·⁸⁸ + 1)⁻¹) + 0.013 (3)ΔlnPo2/ΔpH = (Po2/26.6)⁰·¹⁸⁴ - 2.2 (4)文中描述了在抽取或添加一定量的O2后迭代测定血液Po2和S的方法,以及在测量Po2、pH和S后根据单个样本计算血液P50的方法。