Drug Elimination in Two-Compartment Pharmacokinetic Models with Nonstandard Finite Difference Approach
We use the nonstandard finite difference (NSFD) method to solve the two-compartments pharmacokinetic models of drug elimination. Pharmacokinetic models are commonly used to predict drug concentrations in the body. These models are modeled by nonlinear ordinary differential equations. We apply the NS...
Gespeichert in:
Veröffentlicht in: | IAENG international journal of applied mathematics 2020-06, Vol.50 (2), p.1-7 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 7 |
---|---|
container_issue | 2 |
container_start_page | 1 |
container_title | IAENG international journal of applied mathematics |
container_volume | 50 |
creator | Sa'adah, A M Niswatus Widodo Indarsih |
description | We use the nonstandard finite difference (NSFD) method to solve the two-compartments pharmacokinetic models of drug elimination. Pharmacokinetic models are commonly used to predict drug concentrations in the body. These models are modeled by nonlinear ordinary differential equations. 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. Two-compartment pharmacokinetic models are considered for different routes of administration: I.V. bolus injection and I.V. bolus infusion. |
format | Article |
fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2411785596</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2411785596</sourcerecordid><originalsourceid>FETCH-proquest_journals_24117855963</originalsourceid><addsrcrecordid>eNqNiksLgkAURocoyB7_4UJrIXuoswxT2hQt2seg17ymd2xmpL-fi2jdtzkHzjcSXiDlxpcyDsc_j-KpmFlbr9ehHOaJ8mj6B6QNtcTKkWYghttb-4luO2Vci-zgWinTqlw_idFRDmddYGPhTa6Ci2brFBfKFJARk0M4UlmiQc4RDl1ntMqrhZiUqrG4_HIuVll6S07-kF89WnevdW94SPfNLgiieL-X4fa_1wdEhEkJ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2411785596</pqid></control><display><type>article</type><title>Drug Elimination in Two-Compartment Pharmacokinetic Models with Nonstandard Finite Difference Approach</title><source>EZB-FREE-00999 freely available EZB journals</source><creator>Sa'adah, A M Niswatus ; Widodo ; Indarsih</creator><creatorcontrib>Sa'adah, A M Niswatus ; Widodo ; Indarsih</creatorcontrib><description>We use the nonstandard finite difference (NSFD) method to solve the two-compartments pharmacokinetic models of drug elimination. Pharmacokinetic models are commonly used to predict drug concentrations in the body. These models are modeled by nonlinear ordinary differential equations. 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. Two-compartment pharmacokinetic models are considered for different routes of administration: I.V. bolus injection and I.V. bolus infusion.</description><identifier>ISSN: 1992-9978</identifier><identifier>EISSN: 1992-9986</identifier><language>eng</language><publisher>Hong Kong: International Association of Engineers</publisher><subject>Drug delivery systems ; Finite difference method ; Mathematical analysis ; Model accuracy ; Nonlinear differential equations ; Nonlinear equations ; Ordinary differential equations ; Pharmacokinetics ; Pharmacology</subject><ispartof>IAENG international journal of applied mathematics, 2020-06, Vol.50 (2), p.1-7</ispartof><rights>2020. This work is published under https://creativecommons.org/licenses/by-nc-nd/4.0/ (the“License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784</link.rule.ids></links><search><creatorcontrib>Sa'adah, A M Niswatus</creatorcontrib><creatorcontrib>Widodo</creatorcontrib><creatorcontrib>Indarsih</creatorcontrib><title>Drug Elimination in Two-Compartment Pharmacokinetic Models with Nonstandard Finite Difference Approach</title><title>IAENG international journal of applied mathematics</title><description>We use the nonstandard finite difference (NSFD) method to solve the two-compartments pharmacokinetic models of drug elimination. Pharmacokinetic models are commonly used to predict drug concentrations in the body. These models are modeled by nonlinear ordinary differential equations. 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. Two-compartment pharmacokinetic models are considered for different routes of administration: I.V. bolus injection and I.V. bolus infusion.</description><subject>Drug delivery systems</subject><subject>Finite difference method</subject><subject>Mathematical analysis</subject><subject>Model accuracy</subject><subject>Nonlinear differential equations</subject><subject>Nonlinear equations</subject><subject>Ordinary differential equations</subject><subject>Pharmacokinetics</subject><subject>Pharmacology</subject><issn>1992-9978</issn><issn>1992-9986</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqNiksLgkAURocoyB7_4UJrIXuoswxT2hQt2seg17ymd2xmpL-fi2jdtzkHzjcSXiDlxpcyDsc_j-KpmFlbr9ehHOaJ8mj6B6QNtcTKkWYghttb-4luO2Vci-zgWinTqlw_idFRDmddYGPhTa6Ci2brFBfKFJARk0M4UlmiQc4RDl1ntMqrhZiUqrG4_HIuVll6S07-kF89WnevdW94SPfNLgiieL-X4fa_1wdEhEkJ</recordid><startdate>20200601</startdate><enddate>20200601</enddate><creator>Sa'adah, A M Niswatus</creator><creator>Widodo</creator><creator>Indarsih</creator><general>International Association of Engineers</general><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20200601</creationdate><title>Drug Elimination in Two-Compartment Pharmacokinetic Models with Nonstandard Finite Difference Approach</title><author>Sa'adah, A M Niswatus ; Widodo ; Indarsih</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_24117855963</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Drug delivery systems</topic><topic>Finite difference method</topic><topic>Mathematical analysis</topic><topic>Model accuracy</topic><topic>Nonlinear differential equations</topic><topic>Nonlinear equations</topic><topic>Ordinary differential equations</topic><topic>Pharmacokinetics</topic><topic>Pharmacology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sa'adah, A M Niswatus</creatorcontrib><creatorcontrib>Widodo</creatorcontrib><creatorcontrib>Indarsih</creatorcontrib><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>IAENG international journal of applied mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sa'adah, A M Niswatus</au><au>Widodo</au><au>Indarsih</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Drug Elimination in Two-Compartment Pharmacokinetic Models with Nonstandard Finite Difference Approach</atitle><jtitle>IAENG international journal of applied mathematics</jtitle><date>2020-06-01</date><risdate>2020</risdate><volume>50</volume><issue>2</issue><spage>1</spage><epage>7</epage><pages>1-7</pages><issn>1992-9978</issn><eissn>1992-9986</eissn><abstract>We use the nonstandard finite difference (NSFD) method to solve the two-compartments pharmacokinetic models of drug elimination. Pharmacokinetic models are commonly used to predict drug concentrations in the body. These models are modeled by nonlinear ordinary differential equations. 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. Two-compartment pharmacokinetic models are considered for different routes of administration: I.V. bolus injection and I.V. bolus infusion.</abstract><cop>Hong Kong</cop><pub>International Association of Engineers</pub><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1992-9978 |
ispartof | IAENG international journal of applied mathematics, 2020-06, Vol.50 (2), p.1-7 |
issn | 1992-9978 1992-9986 |
language | eng |
recordid | cdi_proquest_journals_2411785596 |
source | EZB-FREE-00999 freely available EZB journals |
subjects | Drug delivery systems Finite difference method Mathematical analysis Model accuracy Nonlinear differential equations Nonlinear equations Ordinary differential equations Pharmacokinetics Pharmacology |
title | Drug Elimination in Two-Compartment Pharmacokinetic Models with Nonstandard Finite Difference Approach |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-23T00%3A51%3A46IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Drug%20Elimination%20in%20Two-Compartment%20Pharmacokinetic%20Models%20with%20Nonstandard%20Finite%20Difference%20Approach&rft.jtitle=IAENG%20international%20journal%20of%20applied%20mathematics&rft.au=Sa'adah,%20A%20M%20Niswatus&rft.date=2020-06-01&rft.volume=50&rft.issue=2&rft.spage=1&rft.epage=7&rft.pages=1-7&rft.issn=1992-9978&rft.eissn=1992-9986&rft_id=info:doi/&rft_dat=%3Cproquest%3E2411785596%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2411785596&rft_id=info:pmid/&rfr_iscdi=true |