Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Identifiability Analysis of Inverse Problems in Biology. / Latyshenko, Varvara; Krivorotko, Olga; Kabanikhin, Sergey и др.
2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM). DESTECH PUBLICATIONS, INC, 2017. стр. 567-571 (DEStech Transactions on Computer Science and Engineering).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Identifiability Analysis of Inverse Problems in Biology
AU - Latyshenko, Varvara
AU - Krivorotko, Olga
AU - Kabanikhin, Sergey
AU - Zhang, Shuhua
AU - Kashtanova, Victoriya
AU - Yermolenko, Dariya
PY - 2017
Y1 - 2017
N2 - The paper focuses on sensitivity-based identifiability analysis of parameters for mathematical models described by systems of nonlinear ordinary differential equations. This analysis is carried out using eigenvalue method and orthogonal method. Both methods allow one to globally evaluate and compare the influence of parameter values on measurement data. The sensitivity analysis and numerical experiments for mathematical model of the spread of TB and HIV co-infection are demonstrated. The numerical results show that 4 parameters (from 15 available) are identifiable uniquely by the given data only about 3 measured time-point functions during 5 years.
AB - The paper focuses on sensitivity-based identifiability analysis of parameters for mathematical models described by systems of nonlinear ordinary differential equations. This analysis is carried out using eigenvalue method and orthogonal method. Both methods allow one to globally evaluate and compare the influence of parameter values on measurement data. The sensitivity analysis and numerical experiments for mathematical model of the spread of TB and HIV co-infection are demonstrated. The numerical results show that 4 parameters (from 15 available) are identifiable uniquely by the given data only about 3 measured time-point functions during 5 years.
KW - ODE
KW - Inverse problem
KW - Epidemiology
KW - Tuberculosis
KW - HIV
KW - Identifiability
KW - Sensitivity-based analysis
KW - Orthogonal method
KW - Eigenvalue method
M3 - Conference contribution
T3 - DEStech Transactions on Computer Science and Engineering
SP - 567
EP - 571
BT - 2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM)
PB - DESTECH PUBLICATIONS, INC
T2 - 2017 2nd International Conference on Computational Modeling, Simulation and Applied Mathematics (CMSAM)
Y2 - 22 October 2017 through 23 October 2017
ER -
ID: 18873751