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Identifiability Analysis of Inverse Problems in Biology. / Latyshenko, Varvara; Krivorotko, Olga; Kabanikhin, Sergey et al.

2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM). DESTECH PUBLICATIONS, INC, 2017. p. 567-571 (DEStech Transactions on Computer Science and Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Latyshenko, V, Krivorotko, O, Kabanikhin, S, Zhang, S, Kashtanova, V & Yermolenko, D 2017, Identifiability Analysis of Inverse Problems in Biology. in 2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM). DEStech Transactions on Computer Science and Engineering, DESTECH PUBLICATIONS, INC, pp. 567-571, 2017 2nd International Conference on Computational Modeling, Simulation and Applied Mathematics (CMSAM), Beijing, 22.10.2017.

APA

Latyshenko, V., Krivorotko, O., Kabanikhin, S., Zhang, S., Kashtanova, V., & Yermolenko, D. (2017). Identifiability Analysis of Inverse Problems in Biology. In 2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM) (pp. 567-571). (DEStech Transactions on Computer Science and Engineering). DESTECH PUBLICATIONS, INC.

Vancouver

Latyshenko V, Krivorotko O, Kabanikhin S, Zhang S, Kashtanova V, Yermolenko D. Identifiability Analysis of Inverse Problems in Biology. In 2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM). DESTECH PUBLICATIONS, INC. 2017. p. 567-571. (DEStech Transactions on Computer Science and Engineering).

Author

Latyshenko, Varvara ; Krivorotko, Olga ; Kabanikhin, Sergey et al. / Identifiability Analysis of Inverse Problems in Biology. 2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM). DESTECH PUBLICATIONS, INC, 2017. pp. 567-571 (DEStech Transactions on Computer Science and Engineering).

BibTeX

@inproceedings{0050bcf4aeec461aadf308d2298838c7,
title = "Identifiability Analysis of Inverse Problems in Biology",
abstract = "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.",
keywords = "ODE, Inverse problem, Epidemiology, Tuberculosis, HIV, Identifiability, Sensitivity-based analysis, Orthogonal method, Eigenvalue method",
author = "Varvara Latyshenko and Olga Krivorotko and Sergey Kabanikhin and Shuhua Zhang and Victoriya Kashtanova and Dariya Yermolenko",
year = "2017",
language = "English",
series = "DEStech Transactions on Computer Science and Engineering",
publisher = "DESTECH PUBLICATIONS, INC",
pages = "567--571",
booktitle = "2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM)",
note = "2017 2nd International Conference on Computational Modeling, Simulation and Applied Mathematics (CMSAM) ; Conference date: 22-10-2017 Through 23-10-2017",

}

RIS

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