A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics

ABSTRACT: The gamma-Pareto type I convolution (GPC type I) distribution, which has a power function tail, was recently shown to describe the disposition kinetics of metformin in dogs precisely and better than sums of exponentials. However, this had very long run times and lost precision for its func...

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Detalles Bibliográficos
Autores principales: Wesolowski, Carl A., Alcorn, Jane, Tucker, Geoffrey T.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8940759/
https://www.ncbi.nlm.nih.gov/pubmed/34689268
http://dx.doi.org/10.1007/s10928-021-09779-4
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author Wesolowski, Carl A.
Alcorn, Jane
Tucker, Geoffrey T.
author_facet Wesolowski, Carl A.
Alcorn, Jane
Tucker, Geoffrey T.
author_sort Wesolowski, Carl A.
collection PubMed
description ABSTRACT: The gamma-Pareto type I convolution (GPC type I) distribution, which has a power function tail, was recently shown to describe the disposition kinetics of metformin in dogs precisely and better than sums of exponentials. However, this had very long run times and lost precision for its functional values at long times following intravenous injection. An accelerated algorithm and its computer code is now presented comprising two separate routines for short and long times and which, when applied to the dog data, completes in approximately 3 min per case. The new algorithm is a more practical research tool. Potential pharmacokinetic applications are discussed. GRAPHIC ABSTRACT: [Image: see text] SUPPLEMENTARY INFORMATION: The online version contains supplementary material available at 10.1007/s10928-021-09779-4.
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spelling pubmed-89407592022-04-07 A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics Wesolowski, Carl A. Alcorn, Jane Tucker, Geoffrey T. J Pharmacokinet Pharmacodyn Original Paper ABSTRACT: The gamma-Pareto type I convolution (GPC type I) distribution, which has a power function tail, was recently shown to describe the disposition kinetics of metformin in dogs precisely and better than sums of exponentials. However, this had very long run times and lost precision for its functional values at long times following intravenous injection. An accelerated algorithm and its computer code is now presented comprising two separate routines for short and long times and which, when applied to the dog data, completes in approximately 3 min per case. The new algorithm is a more practical research tool. Potential pharmacokinetic applications are discussed. GRAPHIC ABSTRACT: [Image: see text] SUPPLEMENTARY INFORMATION: The online version contains supplementary material available at 10.1007/s10928-021-09779-4. Springer US 2021-10-24 2022 /pmc/articles/PMC8940759/ /pubmed/34689268 http://dx.doi.org/10.1007/s10928-021-09779-4 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Wesolowski, Carl A.
Alcorn, Jane
Tucker, Geoffrey T.
A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics
title A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics
title_full A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics
title_fullStr A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics
title_full_unstemmed A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics
title_short A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics
title_sort series acceleration algorithm for the gamma-pareto (type i) convolution and related functions of interest for pharmacokinetics
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8940759/
https://www.ncbi.nlm.nih.gov/pubmed/34689268
http://dx.doi.org/10.1007/s10928-021-09779-4
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