Discretization and Stability Analysis for a Generalized Type Nonlinear Pharmacokinetic Models

IF 1 Q3 MULTIDISCIPLINARY SCIENCES
M. Kocabiyik, Mevlüde YAKIT ONGUN
{"title":"Discretization and Stability Analysis for a Generalized Type Nonlinear Pharmacokinetic Models","authors":"M. Kocabiyik, Mevlüde YAKIT ONGUN","doi":"10.35378/gujs.1027381","DOIUrl":null,"url":null,"abstract":"Estimating effects of drugs at different stages is directly proportional to the duration of recovery and duration of pulling through with the disease. For this reason, solving Pharmacokinetic models that investigate these effects is very important. In this study, numerical solutions of this type of one, two and three compartment nonlinear Pharmacokinetic models have been studied. Distributed order differential equations are used for the solution of the model. Numerical solutions have been found with the density function contained in distributed order differential equations and different values of this function. A Nonstandard finite difference scheme has been used for numerical solutions. Finally, stability analysis of equilibrium points of obtained discretized system has also been expressed with the help of the Schur-Cohn criteria.","PeriodicalId":12615,"journal":{"name":"gazi university journal of science","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"gazi university journal of science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35378/gujs.1027381","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0

Abstract

Estimating effects of drugs at different stages is directly proportional to the duration of recovery and duration of pulling through with the disease. For this reason, solving Pharmacokinetic models that investigate these effects is very important. In this study, numerical solutions of this type of one, two and three compartment nonlinear Pharmacokinetic models have been studied. Distributed order differential equations are used for the solution of the model. Numerical solutions have been found with the density function contained in distributed order differential equations and different values of this function. A Nonstandard finite difference scheme has been used for numerical solutions. Finally, stability analysis of equilibrium points of obtained discretized system has also been expressed with the help of the Schur-Cohn criteria.
一类广义非线性药代动力学模型的离散化及稳定性分析
估计药物在不同阶段的效果与康复的持续时间和治愈疾病的持续时间成正比。因此,解决研究这些影响的药代动力学模型是非常重要的。在本研究中,研究了这类一、二和三室非线性药代动力学模型的数值解。模型的求解采用了分布阶微分方程。对于分布阶微分方程中包含的密度函数和该函数的不同值,已经找到了数值解。非标准有限差分格式已被用于数值求解。最后,利用Schur-Cohn准则对所得到的离散系统的平衡点进行了稳定性分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
gazi university journal of science
gazi university journal of science MULTIDISCIPLINARY SCIENCES-
CiteScore
1.60
自引率
11.10%
发文量
87
期刊介绍: The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信