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

Authors :
Khristichenko, Michael Yu.
Nechepurenko, Yuri M.
Mironov, Ilya V.
Grebennikov, Dmitry S.
Bocharov, Gennady A.
Source :
Russian Journal of Numerical Analysis & Mathematical Modelling. Apr2024, Vol. 39 Issue 2, p83-96. 14p.
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09276467
Volume :
39
Issue :
2
Database :
Academic Search Index
Journal :
Russian Journal of Numerical Analysis & Mathematical Modelling
Publication Type :
Academic Journal
Accession number :
176504664
Full Text :
https://doi.org/10.1515/rnam-2024-0008