M. Ramanathan, A method for estimating pharmacokinetic risks of concentration-dependent drug interactions from preclinical data, DRUG META D, 27(12), 1999, pp. 1479-1487
This article evaluates a novel approach for estimating the pharmacokinetic
risks associated with drug interactions in populations. Preclinical pharmac
okinetic and metabolism data are analyzed with a stochastic differential eq
uation-based pharmacokinetic model that recognizes that the risks associate
d with known drug interactions involve deterministic and stochastic compone
nts. Specifically, a Bernoulli jump-diffusion pharmacokinetic model that ac
counts for the pharmacokinetics, the variability inherent in the pharmacoki
netics, and the idiosyncratic nature of the possibility of drug interaction
s is proposed. In addition, the variability inherent in the extent of drug
interaction is explicitly accounted for. The approach provides useful mecha
nistic insights into the stochastic processes that "drive" drug interaction
s in populations because it yields analytical results. The validity of the
model predictions was tested with experimental data from two previously inv
estigated systems: N-1 and N-3 caffeine demethylation in populations with s
mokers and in the terfenadine-ketoconazole system.