[HTML][HTML] Functional cure of a chronic virus infection by shifting the virus-host equilibrium state

G Bocharov, D Grebennikov, P Cebollada Rica… - Frontiers in …, 2022 - frontiersin.org
The clinical handling of chronic virus infections remains a challenge. Here we describe
recent progress in the understanding of virus-host interaction dynamics. Based on the …

Bistability analysis of virus infection models with time delays.

Y Nechepurenko, M Khristichenko… - … Systems-Series S, 2020 - search.ebscohost.com
Mathematical models with time delays are widely used to analyze the mechanisms of the
immune response to virus infections and predict various therapeutic effects. Using the …

Optimal disturbances for periodic solutions of time-delay differential equations

MY Khristichenko, YM Nechepurenko - Russian Journal of …, 2022 - degruyter.com
A concept of optimal disturbances of periodic solutions for a system of time-delay differential
equations is defined. An algorithm for computing the optimal disturbances is proposed and …

Dependence of optimal disturbances on periodic solution phases for time-delay systems

MY Khristichenko, YM Nechepurenko… - Russian Journal of …, 2023 - degruyter.com
The paper is focused on the dependence of optimal disturbances of stable periodic solutions
of time-delay systems on phases of such solutions. The results of numerical experiments …

Computation of optimal disturbances for delay systems

YM Nechepurenko, MY Khristichenko - Computational Mathematics and …, 2019 - Springer
Novel fast algorithms for computing the maximum amplification of the norm of solution and
optimal disturbances for delay systems are proposed and justified. The proposed algorithms …

Computation and analysis of optimal disturbances of periodic solution of the hepatitis B dynamics model

MY Khristichenko, IV Mironov… - Russian Journal of …, 2024 - degruyter.com
Optimal disturbances of the periodic solution of the hepatitis B dynamics model
corresponding to the chronic recurrent form of the disease are found. The dependence of the …

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

MY Khristichenko, YM Nechepurenko… - Russian Journal of …, 2024 - degruyter.com
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 …

Numerical analysis of stationary solutions of systems with delayed argument in mathematical immunology

MY Khristichenko, YM Nechepurenko… - Contemporary …, 2022 - journals.rudn.ru
This work is devoted to the technology developed by the authors that allows one for fixed
values of parameters and tracing by parameters to calculate stationary solutions of systems …

Numerical Analysis of Stationary Solutions of Systems with Delayed Argument in Mathematical Immunology

MY Khristichenko, YM Nechepurenko… - Journal of Mathematical …, 2024 - Springer
This work is devoted to the technology developed by the authors that allows one for fixed
values of parameters and tracing by parameters to calculate stationary solutions of systems …

Численный анализ стационарных решений систем с запаздывающим аргументом в математической иммунологии

МЮ Христиченко, ЮМ Нечепуренко… - Современная …, 2022 - mathnet.ru
Данная работа посвящена разработанной авторами технологии вычисления при
фиксированных значениях параметров и трассирования по параметрам стационарных …