Identifiability Analysis of Inverse Problems in Biology

Varvara Latyshenko; Olga Krivorotko; Sergey Kabanikhin; Shuhua Zhang; Victoriya Kashtanova; Dariya Yermolenko

Identifiability Analysis of Inverse Problems in Biology

Varvara Latyshenko, Olga Krivorotko, Sergey Kabanikhin, Shuhua Zhang, Victoriya Kashtanova, Dariya Yermolenko

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

Аннотация

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.

Язык оригинала	английский
Название основной публикации	2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM)
Издатель	DESTECH PUBLICATIONS, INC
Страницы	567-571
Число страниц	5
Состояние	Опубликовано - 2017
Событие	2017 2nd International Conference on Computational Modeling, Simulation and Applied Mathematics (CMSAM) - Beijing Продолжительность: 22 окт 2017 → 23 окт 2017

Серия публикаций

Название	DEStech Transactions on Computer Science and Engineering
Издатель	DESTECH PUBLICATIONS, INC
ISSN (печатное издание)	2475-8841

Конференция

Конференция	2017 2nd International Conference on Computational Modeling, Simulation and Applied Mathematics (CMSAM)
Город	Beijing
Период	22.10.2017 → 23.10.2017

Цитировать

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

Latyshenko, Varvara ; Krivorotko, Olga ; Kabanikhin, Sergey ; Zhang, Shuhua ; Kashtanova, Victoriya ; Yermolenko, Dariya. / Identifiability Analysis of Inverse Problems in Biology. 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).

@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",

}

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

Identifiability Analysis of Inverse Problems in Biology. / Latyshenko, Varvara; Krivorotko, Olga ; Kabanikhin, Sergey; Zhang, Shuhua; Kashtanova, Victoriya; Yermolenko, Dariya.

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).

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

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 -