乙型肝炎动力学模型静态解的最佳干扰的计算与分析

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Russian Journal of Numerical Analysis and Mathematical Modelling Pub Date : 2024-04-08 DOI:10.1515/rnam-2024-0008

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

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引用次数: 0

摘要

我们找到了乙型肝炎病毒感染动力学模型若干典型静态解的最佳干扰。具体来说，我们找到了与疾病慢性过程的各种形式相对应的静态解的最佳扰动，包括与低水平病毒持续状态相对应的静态解。研究了单个变量组的微小最佳干扰对静止解的影响。研究了利用最优干扰从对应于慢性乙型肝炎的稳定静止解过渡到对应于功能恢复状态或健康机体的稳定静止解的可能性。本研究中的最佳扰动是以具有一室和二室药代动力学特征的通用治疗药物为基础构建的。

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

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.

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来源期刊

Russian Journal of Numerical Analysis and Mathematical Modelling 数学-工程：综合

CiteScore

1.40

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Russian Journal of Numerical Analysis and Mathematical Modelling, published bimonthly, provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, selects papers on the basis of their high scientific standard, innovative approach and topical interest. Topics: -numerical analysis- numerical linear algebra- finite element methods for PDEs- iterative methods- Monte-Carlo methods- mathematical modelling and numerical simulation in geophysical hydrodynamics, immunology and medicine, fluid mechanics and electrodynamics, geosciences.