@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",
}