An integrated approach to pharmacokinetic analysis for linear mammillary systems in which input and exit may occur in/from any compartment

Emi Nakashima, Leslie Z. Benet

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The general treatment of linear mammillary models employing input and disposition functions and Laplace transforms is expanded to solve concentration-time equations AUC and AUMC in any compartment without restricting sites of input or output. In this integrated approach to noncompartmental pharmacokinetic analysis, the values of AUC and AUMC can be calculated from Laplace transforms with some very simplified treatments. Tables of input functions, disposition functions, Laplace transforms, and derivatives of the Laplace transforms are presented. The relationships between the integrated parameters and various mammillary model parameters are presented using several examples.

Original languageEnglish
Pages (from-to)673-686
Number of pages14
JournalJournal of Pharmacokinetics and Biopharmaceutics
Volume17
Issue number6
DOIs
Publication statusPublished - 1989 Dec
Externally publishedYes

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Area Under Curve
Pharmacokinetics
Linear Models

Keywords

  • area under the first moment curve
  • disposition function
  • input function
  • integrated parameter
  • mammillary models (linear)
  • noncompartmental analysis

ASJC Scopus subject areas

  • Pharmacology, Toxicology and Pharmaceutics(all)
  • Pharmacology (medical)

Cite this

An integrated approach to pharmacokinetic analysis for linear mammillary systems in which input and exit may occur in/from any compartment. / Nakashima, Emi; Benet, Leslie Z.

In: Journal of Pharmacokinetics and Biopharmaceutics, Vol. 17, No. 6, 12.1989, p. 673-686.

Research output: Contribution to journalArticle

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