Analysis of Hepatitis C Viral Dynamics Using Latin Hypercube Sampling
Abstract
We consider a mathematical model comprising of four coupled ordinary differential equations (ODEs) for studying the hepatitis C (HCV) viral dynamics. The model embodies the efficacies of a combination therapy of interferon and ribavirin. A condition for the stability of the uninfected and the infected steady states is presented. A large number of sample points for the model parameters (which were physiologically feasible) were generated using Latin hypercube sampling. Analysis of our simulated values indicated approximately 24% cases as having an uninfected steady state. Statistical tests like the chi-square-test and the Spearman's test were also done on the sample values. The results of these tests indicate a distinctly differently distribution of certain parameter values and not in case of others, vis-a-vis, the stability of the uninfected and the infected steady states.
Keywords
Cite
@article{arxiv.1106.5313,
title = {Analysis of Hepatitis C Viral Dynamics Using Latin Hypercube Sampling},
author = {Gaurav Pachpute and Siddhartha P. Chakrabarty},
journal= {arXiv preprint arXiv:1106.5313},
year = {2015}
}