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Sensitivity Analysis and Practical Identifiability of Some Mathematical Models in Biology Full article

Journal Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797
Output data Year: 2020, Volume: 14, Number: 1, Pages: 115-130 Pages count : 16 DOI: 10.1134/S1990478920010123
Tags identifiability; inverse problem; method of correlation matrix; Monte Carlo method; ordinary differential equations; sensitivity analysis; sensitivity matrix
Authors Krivorotko O.I. 1 , Andornaya D.V. 2 , Kabanikhin S.I. 3
Affiliations
1 Institute of Computational Mathematics and Mathematical Geophysics, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russian Federation
2 Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090, Russian Federation
3 Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russian Federation

Abstract: We study the identifiability of some mathematical models of spreading TB and HIV coinfections in a population and the dynamics of HIV-infection at the cellular level. Sensitivity analysis is carried out using the orthogonal method and the eigenvalue method which are based on studying the properties of the sensitivity matrix and show the effect of the model coefficient change on simulation results. Practical identifiability is investigated which determines the possibility of reconstructing coefficients from the noisy experimental data. The analysis is performed using the correlation matrix and Monte Carlo method, while taking into consideration the Gaussian noise in measurements. The results of numerical calculations are presented on whose basis we obtain the identifiable sets of parameters. © 2020, Pleiades Publishing, Ltd.
Cite: Krivorotko O.I. , Andornaya D.V. , Kabanikhin S.I.
Sensitivity Analysis and Practical Identifiability of Some Mathematical Models in Biology
Journal of Applied and Industrial Mathematics. 2020. V.14. N1. P.115-130. DOI: 10.1134/S1990478920010123 Scopus OpenAlex
Identifiers:
Scopus: 2-s2.0-85082390445
OpenAlex: W3012277090
Citing:
DB Citing
Scopus 13
OpenAlex 13
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