Rebuck A S, Slutsky A S, Mahutte C K
Respir Physiol. 1977 Sep;31(1):107-16. doi: 10.1016/0034-5687(77)90069-x.
A mathematical expression has been developed to describe the ventilatory responses to changes in arterial oxygen saturation (SaO2) and arterial carbon dioxide tension (PCO2). The derivation is based on the experimental observations: (1) that ventilation is a linear function of PCO2 under isoxic conditions, and (2) that ventilation is a linear function of SaO2 under isocapnic conditions. It is assumed that all functions are continuous and single valued, with the implication that for any given SaO2 and PCO2 there is a unique ventilatory response. The analysis following from these three assumptions has enabled us to derive the following expression for ventilation: VI(SaO2, PCO2) = alpha1 - SaO2 - PCO2 + alpha2 - SaO2 + alpha3 - PCO2 + alpha4 where the alpha's are constants for an individual. This equation, which follows uniquely from the assumption stated, is simpler and contains fewer parameters than previous expressions used to describe ventilation.
已开发出一种数学表达式来描述对动脉血氧饱和度（SaO2）和动脉二氧化碳分压（PCO2）变化的通气反应。该推导基于以下实验观察结果：（1）在等氧条件下，通气是PCO2的线性函数；（2）在等碳酸条件下，通气是SaO2的线性函数。假设所有函数都是连续且单值的，这意味着对于任何给定的SaO2和PCO2都有唯一的通气反应。基于这三个假设进行的分析使我们能够得出以下通气表达式：VI（SaO2，PCO2）=α1 - SaO2 - PCO2 +α2 - SaO2 +α3 - PCO2 +α4，其中α为个体的常数。这个方程是根据所述假设唯一推导出来的，比以前用于描述通气的表达式更简单且参数更少。
