Fractional two-compartmental model for articaine serum levels

被引：0

作者：

Branislava Petronijevic

Ivan Sarcev

Dusan Zorica

Marko Janev

Teodor M. Atanackovic

机构：

[1] University of Novi Sad,Faculty of Medicine

[2] Serbian Academy of Arts and Sciences,Mathematical Institute

[3] University of Novi Sad,Department of Mechanics, Faculty of Technical Sciences

来源：

Heat and Mass Transfer | 2016年 / 52卷

关键词：

Pharmacokinetic Parameter; Blood Plasma; Fractional Order; Fractional Derivative; Patient Related Factor;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Two fractional two-compartmental models are applied to the pharmacokinetics of articaine. Integer order derivatives are replaced by fractional derivatives, either of different, or of same orders. Models are formulated so that the mass balance is preserved. Explicit forms of the solutions are obtained in terms of the Mittag–Leffler functions. Pharmacokinetic parameters are determined by the use of the evolutionary algorithm and trust regions optimization to recover the experimental data.

引用

页码：1125 / 1130

页数：5

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