Mathematical Flaws of Commonly Used Calculating Methods of Multi-drug Combination and Solution Based on One Belt and One Line Model Method

doi:10.19803/j.1672-8629.2021.01.03

Abstract

Abstract: Multi-drug combination is very common in clinical settings of refractory diseases.The multi-level interactions between drugs will make difference to the efficacy of drugs,as drug combinations may either increase the efficacy and reduce the toxicity or bring the risk of decreased efficacy and increased toxicity.There are a number of calculation methods for quantitative evaluation of the synergy,addition and antagonism of multi-drug combination.However,many of the methods used in this industry are all consensus methods or empirical formulas,so that the same set of data is processed by different methods,and different and contradictory conclusions often arise.In this paper,we used mathematical methods to analyze the flaws of several commonly used calculation methods in the industry,including Loewe's equivalent line method,Bliss's independent model method,Chou's median effect method and Jin's method.And by introducing the mathematical law of efficacy addition in multi-drug combination found in our laboratory,we established a one-belt and one-line model,which can be used as a universal and reliable method for quantitative evaluation of efficacy in multi-drug combination,which is expected to help to fully uncover the benefits of multi-drug combination and minimize the risk of efficacy reduction and toxicity enhancement.

Key words: multi-drug combination, drug interaction, quantitative evaluation, synergism, addition, antagonism, expected additive effect, dose-effect belt, one-belt and one-line model

CLC Number:

R288R969.3

YUAN Shoujun. Mathematical Flaws of Commonly Used Calculating Methods of Multi-drug Combination and Solution Based on One Belt and One Line Model Method[J]. Chinese Journal of Pharmacovigilance, 2021, 18(1): 11-17.

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https://zgywjj.magtechjournal.com/EN/Y2021/V18/I1/11

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