Mathematics Underlying the Rate-Dependency Hypothesis

Abstract

Despite the widespread application of rate dependency to characterize the behavioral effects of drugs, there has been no formal examination of the mathematics underlying rate dependency or of constraints on interpretations of linear regression lines fit to the data plotted on logarithmic paper. In the absence of a clear understanding of the mathematical rules, there is opportunity for misinterpretation of the meaning of the regression lines and erroneous conclusions about the determinants of drug effects. The mathematics relevant to linear regression lines on log-log plots are briefly reviewed and various interpretations that can be made of data plotted in this manner are evaluated. Data from baboon [Papio anubis] studies are presented on the effect of i.v. d-amphetamine on responding during a fixed interval schedule of food presentation.