Nonlinear Elimination of Drugs in One-Compartment Pharmacokinetic Models: Nonstandard Finite Difference Approach for Various Routes of Administration

The motivation for this study is to introduce and motivate the use of nonstandard finite difference (NSFD) schemes, capable of solving one-compartment pharmacokinetic models. These models are modeled by both linear and nonlinear ordinary differential equations. “Exact” finite dif...
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Autor*in:	Oluwaseun Egbelowo [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	pharmacokinetics intravenous bolus injection intravenous bolus infusion extravascular nonstandard finite difference Michaelis-Menten elimination

Übergeordnetes Werk:	In: Mathematical and Computational Applications - MDPI AG, 2017, 23(2018), 2, p 27
Übergeordnetes Werk:	volume:23 ; year:2018 ; number:2, p 27

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DOI / URN:	10.3390/mca23020027

Katalog-ID:	DOAJ03968363X

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callnumber-first	T - Technology
author	Oluwaseun Egbelowo
spellingShingle	Oluwaseun Egbelowo misc T57-57.97 misc QA1-939 misc QA75.5-76.95 misc pharmacokinetics misc intravenous bolus injection misc intravenous bolus infusion misc extravascular misc nonstandard finite difference misc Michaelis-Menten elimination misc Applied mathematics. Quantitative methods misc Mathematics misc Electronic computers. Computer science Nonlinear Elimination of Drugs in One-Compartment Pharmacokinetic Models: Nonstandard Finite Difference Approach for Various Routes of Administration
authorStr	Oluwaseun Egbelowo
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topic_title	T57-57.97 QA1-939 QA75.5-76.95 Nonlinear Elimination of Drugs in One-Compartment Pharmacokinetic Models: Nonstandard Finite Difference Approach for Various Routes of Administration pharmacokinetics intravenous bolus injection intravenous bolus infusion extravascular nonstandard finite difference Michaelis-Menten elimination
topic	misc T57-57.97 misc QA1-939 misc QA75.5-76.95 misc pharmacokinetics misc intravenous bolus injection misc intravenous bolus infusion misc extravascular misc nonstandard finite difference misc Michaelis-Menten elimination misc Applied mathematics. Quantitative methods misc Mathematics misc Electronic computers. Computer science
topic_unstemmed	misc T57-57.97 misc QA1-939 misc QA75.5-76.95 misc pharmacokinetics misc intravenous bolus injection misc intravenous bolus infusion misc extravascular misc nonstandard finite difference misc Michaelis-Menten elimination misc Applied mathematics. Quantitative methods misc Mathematics misc Electronic computers. Computer science
topic_browse	misc T57-57.97 misc QA1-939 misc QA75.5-76.95 misc pharmacokinetics misc intravenous bolus injection misc intravenous bolus infusion misc extravascular misc nonstandard finite difference misc Michaelis-Menten elimination misc Applied mathematics. Quantitative methods misc Mathematics misc Electronic computers. Computer science
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title	Nonlinear Elimination of Drugs in One-Compartment Pharmacokinetic Models: Nonstandard Finite Difference Approach for Various Routes of Administration
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title_full	Nonlinear Elimination of Drugs in One-Compartment Pharmacokinetic Models: Nonstandard Finite Difference Approach for Various Routes of Administration
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doi_str_mv	10.3390/mca23020027
title_sort	nonlinear elimination of drugs in one-compartment pharmacokinetic models: nonstandard finite difference approach for various routes of administration
callnumber	T57-57.97
title_auth	Nonlinear Elimination of Drugs in One-Compartment Pharmacokinetic Models: Nonstandard Finite Difference Approach for Various Routes of Administration
abstract	The motivation for this study is to introduce and motivate the use of nonstandard finite difference (NSFD) schemes, capable of solving one-compartment pharmacokinetic models. These models are modeled by both linear and nonlinear ordinary differential equations. “Exact” finite difference schemes, which are a special NSFD, are provided for the linear models while we apply the NSFD rules, based on Mickens’ idea of transferring nonlinear models into discrete schemes. The method used was compared with other established methods to verify its efficiency and accuracy. One-compartment pharmacokinetic models are considered for different routes of administration: I.V. bolus injection, I.V. bolus infusion and extravascular administration.
abstractGer	The motivation for this study is to introduce and motivate the use of nonstandard finite difference (NSFD) schemes, capable of solving one-compartment pharmacokinetic models. These models are modeled by both linear and nonlinear ordinary differential equations. “Exact” finite difference schemes, which are a special NSFD, are provided for the linear models while we apply the NSFD rules, based on Mickens’ idea of transferring nonlinear models into discrete schemes. The method used was compared with other established methods to verify its efficiency and accuracy. One-compartment pharmacokinetic models are considered for different routes of administration: I.V. bolus injection, I.V. bolus infusion and extravascular administration.
abstract_unstemmed	The motivation for this study is to introduce and motivate the use of nonstandard finite difference (NSFD) schemes, capable of solving one-compartment pharmacokinetic models. These models are modeled by both linear and nonlinear ordinary differential equations. “Exact” finite difference schemes, which are a special NSFD, are provided for the linear models while we apply the NSFD rules, based on Mickens’ idea of transferring nonlinear models into discrete schemes. The method used was compared with other established methods to verify its efficiency and accuracy. One-compartment pharmacokinetic models are considered for different routes of administration: I.V. bolus injection, I.V. bolus infusion and extravascular administration.
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title_short	Nonlinear Elimination of Drugs in One-Compartment Pharmacokinetic Models: Nonstandard Finite Difference Approach for Various Routes of Administration
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