Computation and analysis of optimal disturbances of stationary solutions of the hepatitis B dynamics model-Reference-Cited by-同舟云学术

Computation and analysis of optimal disturbances of stationary solutions of the hepatitis B dynamics model

Published:2024-04-01 Issue:2 Volume:39 Page:83-96
ISSN:0927-6467
Container-title:Russian Journal of Numerical Analysis and Mathematical Modelling
language:en
Short-container-title:

Author:

Khristichenko Michael Yu.¹,Nechepurenko Yuri M.¹,Mironov Ilya V.²,Grebennikov Dmitry S.¹²,Bocharov Gennady A.¹²

Affiliation:

1. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences , , Moscow , Russia

2. Sechenov First Moscow State Medical University of the Ministry of Health of the Russian Federation , Moscow , Russia

Abstract

Abstract Optimal disturbances of a number of typical stationary solutions of the hepatitis B virus infection dynamics model have been found. Specifically optimal disturbances have been found for stationary solutions corresponding to various forms of the chronic course of the disease, including those corresponding to the regime of low-level virus persistence. The influence of small optimal disturbances of individual groups of variables on the stationary solution is studied. The possibility of transition from stable stationary solutions corresponding to chronic forms of hepatitis B to stable stationary solutions corresponding to the state of functional recovery or a healthy organism using optimal disturbances is studied. Optimal disturbances in this study were constructed on the basis of generalized therapeutic drugs characterized by one-compartment and two-compartment pharmacokinetics.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/rnam-2024-0008/pdf

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