Boucher Adam N, Tam Vincent H
Mathematical Sciences Department, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
Diagn Microbiol Infect Dis. 2006 Aug;55(4):319-25. doi: 10.1016/j.diagmicrobio.2006.01.024. Epub 2006 Apr 19.
The ability to describe and quantify pharmacodynamic interaction objectively is of paramount importance in the study of combination chemotherapy. Current methods based on Loewe additivity and Bliss independence are associated with implicit assumptions of the interacting system. We reviewed the hyperplane theorem that used a generalized equation for defining the isobols (surfaces of equal effect) for 2 noninteracting drugs. We showed that under certain conditions, the original equation might lead to nonintuitive results, which were inconsistent with the definition of additivity. To circumvent these limitations, an alternative model for defining additivity based on effect summation is proposed. This alternative definition for isobols deviates from the Loewe additivity, the null interaction criterion used as the foundation for Berenbaum's isobol equation. However, its results are simple, easily interpreted, and may be more applicable to a wide variety of clinical and experimental circumstances.
在联合化疗研究中，客观描述和量化药效学相互作用的能力至关重要。当前基于洛维相加性和布利斯独立性的方法与相互作用系统的隐含假设相关。我们回顾了超平面定理，该定理使用一个广义方程来定义两种非相互作用药物的等效线（等效应面）。我们表明，在某些条件下，原始方程可能会导致不符合直觉的结果，这与相加性的定义不一致。为了规避这些局限性，我们提出了一种基于效应相加来定义相加性的替代模型。这种等效线的替代定义不同于洛维相加性，后者是作为贝伦鲍姆等效线方程基础的零相互作用标准。然而，其结果简单、易于解释，并且可能更适用于各种临床和实验情况。
