АВТОМАТИЗАЦИЯ ИССЛЕДОВАНИЯ И ВЫВОДА УРАВНЕНИЙ ФАРМАКОКИНЕТИКИ

A.T. Mazakova; A.Zh.  Kenzhebayeva; А.Т. Tursynbay; T.Zh. Mazakov; Sh.A.   Jomartova; G.Z.  Ziyatbekova

doi:10.58805/kazutb.v.3.20-141

Information and communication and chemical technologies

No. 3 (20) - 2023 / 2023-09-30 / Number of views: 89

AUTOMATION OF RESEARCH AND DERIVATION OF PHARMACOKINETIC EGUATIONS

Authors

A.T. Mazakova⁺⁻
A.Zh. Kenzhebayeva⁺⁻
А.Т. Tursynbay⁺⁻
T.Zh. Mazakov⁺⁻
Sh.A. Jomartova⁺⁻
G.Z. Ziyatbekova⁺⁻

Al-Farabi Kazakh National University

Keywords

Volterra integral equation, computer algebra, multi-chamber model, inverse problems, pharmacodynamics, pharmacokinetics, functional

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Link to DOI:

https://doi.org/10.58805/kazutb.v.3.20-141

How to quote

Mazakova А. ., Kenzhebayeva А. ., Tursynbay А., Mazakov Т., Jomartova Ш. ., and Ziyatbekova Г. . “AUTOMATION OF RESEARCH AND DERIVATION OF PHARMACOKINETIC EGUATIONS”. Vestnik KazUTB, vol. 3, no. 20, Sept. 2023, doi:10.58805/kazutb.v.3.20-141.

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Abstract

The article investigates the n-chamber pharmacokinetic model described by ordinary differential equations. Based on the reduction of the model under consideration to the Volterra integral equation of the second kind, an analytical form of its solution is obtained. Based on the application of computer algebra, a constructive algorithm for solving the inverse problem of pharmacokinetics has been developed. Developed software on MatLab. The efficiency of the proposed algorithm is demonstrated on a model problem.

Keywords: Volterra integral equation, computer algebra, multi-chamber model, inverse problems, pharmacodynamics, pharmacokinetics, functional.