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
Language
- eng
Conference Location
- United States