Literature DB >> 31900677

The non-compartmental steady-state volume of distribution revisited.

Wojciech Jawień1, Jan Kobierski2.   

Abstract

The lack in the literature of a simple, yet general and complete derivation of the widely used equation for non-compartmental calculation of steady-state volume of distribution is pointed out. It is demonstrated that the most frequently cited references contain an overly simplified explanation. The logical gap consists in doubly defining the same quantities without a proof the definitions are equivalent. Two alternative solutions are proposed: analytical derivation and hydrodynamic analogy. It is shown, that the problem can be analyzed in a purely macroscopic framework by utilizing the integral mean value of the function, without the need to resort to statistical distributions.

Keywords:  Integral mean value of the function; Linear pharmacokinetics; Mean residence time; Non-compartmental analysis; Steady-state volume of distribution

Mesh:

Year:  2020        PMID: 31900677     DOI: 10.1007/s10928-019-09669-w

Source DB:  PubMed          Journal:  J Pharmacokinet Pharmacodyn        ISSN: 1567-567X            Impact factor:   2.745


  22 in total

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Authors:  Thomas Juffmann; Adriana Milic; Michael Müllneritsch; Peter Asenbaum; Alexander Tsukernik; Jens Tüxen; Marcel Mayor; Ori Cheshnovsky; Markus Arndt
Journal:  Nat Nanotechnol       Date:  2012-03-25       Impact factor: 39.213

3.  Linear pharmacokinetic equations allowing direct calculation of many needed pharmacokinetic parameters from the coefficients and exponents of polyexponential equations which have been fitted to the data.

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Journal:  J Pharmacokinet Biopharm       Date:  1976-10

4.  On the accuracy of calculation of the mean residence time of drug in the body and its volumes of distribution based on the assumption of central elimination.

Authors:  Leonid M Berezhkovskiy
Journal:  Xenobiotica       Date:  2015-09-25       Impact factor: 1.908

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Authors:  P Veng-Pedersen
Journal:  Clin Pharmacokinet       Date:  1989-12       Impact factor: 6.447

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Authors:  D J Cutler
Journal:  Biopharm Drug Dispos       Date:  1987 Jan-Feb       Impact factor: 1.627

7.  The determination of mean residence time using statistical moments: is it correct?

Authors:  D O Chanter
Journal:  J Pharmacokinet Biopharm       Date:  1985-02

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Authors:  E M Landaw; D Katz
Journal:  J Pharmacokinet Biopharm       Date:  1985-10

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Authors:  K Yamaoka; T Nakagawa; T Uno
Journal:  J Pharmacokinet Biopharm       Date:  1978-12

10.  Hepatic elimination of flowing substrates: the distributed model.

Authors:  L Bass; P Robinson; A J Bracken
Journal:  J Theor Biol       Date:  1978-05-08       Impact factor: 2.691

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