Identifiability Analysis of Inverse Problems in Biology

Varvara LATYSHENKO, Olga KRIVOROTKO, Sergey KABANIKHIN, Shuhua ZHANG, Victoriya KASHTANOVA, Dariya YERMOLENKO

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


DOI
10.12783/dtcse/cmsam2017/16435

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