Time-Adaptive Determination of Drug Efficacy in Mathematical Model of HIV Infection | Sciact - Система учета научной деятельности ИМ СО РАН

Time-Adaptive Determination of Drug Efficacy in Mathematical Model of HIV Infection Научная публикация

Журнал

Differential Equations and Dynamical Systems
ISSN: 0971-3514 , E-ISSN: 0974-6870

Вых. Данные

Год: 2024, Том: 32, Номер: 1, Страницы: 313–347 Страниц : 35 DOI: 10.1007/s12591-021-00572-w

Авторы

Beilina L. ^1,2 , Eriksson M. ² , Gainova I. ³

Организации

1	Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Göteborg, 42196, Sweden
2	Department of Marine Sciences, University of Gothenburg, Göteborg, 40530, Sweden
3	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

Информация о финансировании (1)

Российский фонд фундаментальных исследований

20-01-00352

The paper considers a time-adaptive finite element method for determination of drug efficacy in a parameter identification problem (PIP) for a system of ordinary differential equations (ODE) that describes dynamics of the primary human immunodeficiency virus (HIV) infection with drug therapy. Tikhonov’s regularization method, optimization approach and finite element method to solve this problem are presented. A posteriori error estimates in the Tikhonov’s functional and reconstructed parameter are derived. Based on these estimates a time adaptive algorithm is formulated and numerically tested for different scenarios of noisy observations of virus population function. Numerical results show a significant improvement of reconstruction of drug efficacy parameter using the local time-adaptive mesh refinement method compared to the gradient method applied on a uniform time mesh.

Beilina L. , Eriksson M. , Gainova I.
Time-Adaptive Determination of Drug Efficacy in Mathematical Model of HIV Infection
Differential Equations and Dynamical Systems. 2024. V.32. N1. P.313–347. DOI: 10.1007/s12591-021-00572-w WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	25 мая 2021 г.
Принята к публикации:	25 мая 2021 г.
Опубликована online:	12 июн. 2021 г.
Опубликована в печати:	17 янв. 2024 г.

Web of science:	WOS:000660795500001
Scopus:	2-s2.0-85107726288
РИНЦ:	46852922
OpenAlex:	W3169998459

БД	Цитирований
Scopus	1
OpenAlex	1
Web of science	1
РИНЦ	1