Application of queueing theory to pharmacokinetics.

Journal Article (Journal Article)

This paper considers the steady-state plasma drug concentration in a one-compartment, open pharmacokinetic model with multiple doses and first-order kinetics using a classical deterministic technique as well as a queueing theoretical stochastic analysis. The stochastic analysis employs a new method for obtaining the steady-state probability distribution of the content of a dam with compound Poisson input and a general release rule. It is shown that if the deterministic steady-state average concentration exists, it is equal to the mean value of the steady-state concentration, the probability distribution of which is obtained using the stochastic model. Moreover, the steady-state probability distribution of the concentration and its mean always exist in the stochastic model. Ramifications of the stochastic method of analysis are discussed.

Full Text

Duke Authors

Cited Authors

  • Brill, PH; Moon, RE

Published Date

  • May 1980

Published In

Volume / Issue

  • 69 / 5

Start / End Page

  • 558 - 560

PubMed ID

  • 7381743

International Standard Serial Number (ISSN)

  • 0022-3549

Digital Object Identifier (DOI)

  • 10.1002/jps.2600690522


  • eng

Conference Location

  • United States