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Time-Adaptive Determination of Drug Efficacy in Mathematical Model of HIV Infection Full article

Journal Differential Equations and Dynamical Systems
ISSN: 0971-3514 , E-ISSN: 0974-6870
Output data Year: 2024, Volume: 32, Number: 1, Pages: 313–347 Pages count : 35 DOI: 10.1007/s12591-021-00572-w
Authors Beilina L. 1,2 , Eriksson M. 2 , Gainova I. 3
Affiliations
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

Funding (1)

1 Russian Foundation for Basic Research 20-01-00352

Abstract: 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.
Cite: 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
Dates:
Submitted: May 25, 2021
Accepted: May 25, 2021
Published online: Jun 12, 2021
Published print: Jan 17, 2024
Identifiers:
Web of science: WOS:000660795500001
Scopus: 2-s2.0-85107726288
Elibrary: 46852922
OpenAlex: W3169998459
Citing:
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Scopus 1
OpenAlex 1
Web of science 1
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