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arXiv · 1106.5313

Analysis of Hepatitis C Viral Dynamics Using Latin Hypercube Sampling

Gaurav Pachpute·Siddhartha P. Chakrabarty
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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.

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Gaurav Pachpute, Siddhartha P. Chakrabarty. 2011-06-27. Analysis of Hepatitis C Viral Dynamics Using Latin Hypercube Sampling. https://doi.org/10.1016/j.cnsns.2012.03.035

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