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 конференцийстатья в сборнике материалов конференциинаучнаярецензирование

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 оригиналаанглийский
Название основной публикации2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM)
ИздательDESTECH PUBLICATIONS, INC
Страницы567-571
Число страниц5
СостояниеОпубликовано - 2017
Событие2017 2nd International Conference on Computational Modeling, Simulation and Applied Mathematics (CMSAM) - Beijing
Продолжительность: 22 окт 201723 окт 2017

Серия публикаций

НазваниеDEStech Transactions on Computer Science and Engineering
ИздательDESTECH PUBLICATIONS, INC
ISSN (печатное издание)2475-8841

Конференция

Конференция2017 2nd International Conference on Computational Modeling, Simulation and Applied Mathematics (CMSAM)
ГородBeijing
Период22.10.201723.10.2017

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.