A team of mathematicians and pharmaceutical scientists collaborated to identify the major cause of the low accuracy of the equation in the FDA guidance used to predict drug-drug interaction through an enzyme (cytochrome P450, CYP) induction mediation. To overcome the fundamental limit of the conventional equation, the scientists derived a new equation based on a mathematical theory. This dramatically improved the accuracy of the prediction to determine potential drug-drug interactions, which is critical in preventing drug failure and bringing about new drug development.