4 research outputs found
Analysis of Hepatitis C Viral Dynamics Using Latin Hypercube Sampling
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