标题： 使用拉丁超立方采样的丙型肝炎病毒动力学分析 显示英文标题

标题： Analysis of Hepatitis C Viral Dynamics Using Latin Hypercube Sampling

摘要： 我们考虑一个由四个耦合常微分方程（ODEs）组成的数学模型，用于研究丙型肝炎（HCV）病毒动力学。 该模型体现了干扰素和利巴韦林联合疗法的效果。 给出了无感染稳态和感染稳态稳定性的条件。 使用拉丁超立方采样生成了大量模型参数的样本点（这些参数在生理上是可行的）。 我们模拟值的分析表明，大约24%的情况下具有无感染稳态。 对样本值还进行了卡方检验和斯皮尔曼检验等统计测试。 这些测试的结果表明，某些参数值的分布明显不同，而在其他情况下则不然，与无感染稳态和感染稳态的稳定性相比。 显示英文摘要

摘要： 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.