MATHEMATICAL MODEL WITH DELAY FOR DYNAMIC CONTROL SYSTEMS
https://doi.org/10.26583/vestnik.2022.9
Abstract
The purpose of this work is to study the analytical solutions of a dynamic model with a constant delay. Models of this type are used in biomedical research, for example, in the study of the spread of infections, the distribution of drugs in the body. A modification of the multifractional absorption model (MFA model) including a delay is proposed, and its analytical solution is obtained. It allows you to adequately model the distribution in the blood of medicinal substances characterized by a non-standard mechanism of absorption of the dosage form upon oral administration. According to the literature data on the pharmacokinetics of the drug sumatriptan in volunteers after oral administration of 50 mg of the drug, the distribution of the substance in the blood was calculated using the proposed MFA model with a delay. The model made it possible to adequately describe the distribution, which is characterized by two peaks in the concentration of the drug in the blood.
About the Authors
D. E. Ivanov
Federal state unitary enterprise «State scientific-research Institute of organic chemistry and technology» (FGUP «GosNIIOKHT») State research center of the Russian Federation
Russian Federation
Russian Federation
O. V. Polekhina
Federal state unitary enterprise «State scientific-research Institute of organic chemistry and technology» (FGUP «GosNIIOKHT») State research center of the Russian Federation
Russian Federation
Russian Federation
T. N. Shvetsova-Shilovskaya
Federal state unitary enterprise «State scientific-research Institute of organic chemistry and technology» (FGUP «GosNIIOKHT») State research center of the Russian Federation
Russian Federation
Russian Federation
E. N. Morozova
Federal state unitary enterprise «State scientific-research Institute of organic chemistry and technology» (FGUP «GosNIIOKHT») State research center of the Russian Federation
Russian Federation
Russian Federation
E. V. Kazarezova
Federal state unitary enterprise «State scientific-research Institute of organic chemistry and technology» (FGUP «GosNIIOKHT») State research center of the Russian Federation
Russian Federation
Russian Federation
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For citations:
Ivanov D.E., Polekhina O.V., Shvetsova-Shilovskaya T.N., Morozova E.N., Kazarezova E.V. MATHEMATICAL MODEL WITH DELAY FOR DYNAMIC CONTROL SYSTEMS. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2022;11(5):366-378. (In Russ.) https://doi.org/10.26583/vestnik.2022.9
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