Analysis of drug interactions in combined drug therapy by reflection method
Abstract
"AIM:
To set up a new method to analyze multidrug interaction in combined drug therapy.
METHODS:
Based on a dose-effect curve of the combined drugs and the equieffective test, a new mathematical model was set as Q = (Eo - Et)/L (-1 < Q < 1 addition, Q < or = 1 antagonism, Q > or = 1 synergism) where Eo = an observed value (or its fitted value) of combined effect, Et = an expected value of combined effect, and L = an equieffective cutoff between Eo and Et, decided by the equieffective criterion of a special field, the number of data points, and the experimental error. The different types of experimental data were analyzed by the new model.
RESULTS:
This reflection method could deal with data in combined drug therapy, unnecessary to distinguish between independent and similar action, or exclusive and non-exclusive case among drugs. The number of drugs for combination did not need to be limited. But the experimental data should be enough to fit a dose-effect curve of drugs in combination. If every dose-effect curve of drugs for combination was made, a series of Q values was obtained from all levels of dose-effect for a systematic analysis. To large animal or human experiment, the points of dose-effect of each drug used alone could be reduced to even 1 point. The results of analysis took the criterion of a special field and laboratory error into account in this method.
CONCLUSION:
The reflection method is an effective method for analysis of multidrug interaction in combined drug therapy."
Keywords:
To set up a new method to analyze multidrug interaction in combined drug therapy.
METHODS:
Based on a dose-effect curve of the combined drugs and the equieffective test, a new mathematical model was set as Q = (Eo - Et)/L (-1 < Q < 1 addition, Q < or = 1 antagonism, Q > or = 1 synergism) where Eo = an observed value (or its fitted value) of combined effect, Et = an expected value of combined effect, and L = an equieffective cutoff between Eo and Et, decided by the equieffective criterion of a special field, the number of data points, and the experimental error. The different types of experimental data were analyzed by the new model.
RESULTS:
This reflection method could deal with data in combined drug therapy, unnecessary to distinguish between independent and similar action, or exclusive and non-exclusive case among drugs. The number of drugs for combination did not need to be limited. But the experimental data should be enough to fit a dose-effect curve of drugs in combination. If every dose-effect curve of drugs for combination was made, a series of Q values was obtained from all levels of dose-effect for a systematic analysis. To large animal or human experiment, the points of dose-effect of each drug used alone could be reduced to even 1 point. The results of analysis took the criterion of a special field and laboratory error into account in this method.
CONCLUSION:
The reflection method is an effective method for analysis of multidrug interaction in combined drug therapy."