Analysis of Hepatitis C Viral Dynamics Using Latin Hypercube Sampling
نویسندگان
چکیده
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 χ-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.
منابع مشابه
Optimal Therapy of Hepatitis C Dynamics and Sampling Based Analysis
We examine two models for hepatitis C viral (HCV) dynamics, one for monotherapy with interferon (IFN) and the other for combination therapy with IFN and ribavirin. Optimal therapy for both the models is determined using the steepest gradient method, by defining an objective functional which minimizes the infected hepatocyte levels, virion population and the side-effects of the drug(s). The opti...
متن کاملCommodity price uncertainty propagation in open-pit mine production planning by Latin hypercube sampling method
Production planning of an open-pit mine is a procedure during which the rock blocks are assigned to different production periods in a way that leads to the highest net present value (NPV) subject to some operational and technical constraints. This process becomes much more complicated by incorporation of the uncertainty existing in the input parameters. The commodity price uncertainty is among ...
متن کاملLatin hypercube sampling and the propagation of uncertainty in analyses of complex systems
The following techniques for uncertainty and sensitivity analysis are briefly summarized: Monte Carlo analysis, differential analysis, response surface methodology, Fourier amplitude sensitivity test, Sobol’ variance decomposition, and fast probability integration. Desirable features of Monte Carlo analysis in conjunction with Latin hypercube sampling are described in discussions of the followi...
متن کاملProgressive Latin Hypercube Sampling: An efficient approach for robust sampling-based analysis of environmental models
Efficient sampling strategies that scale with the size of the problem, computational budget, and users’ needs are essential for various sampling-based analyses, such as sensitivity and uncertainty analysis. In this study, we propose a new strategy, called Progressive Latin Hypercube Sampling (PLHS), which sequentially generates sample points while progressively preserving the distributional pro...
متن کاملUSING LATIN HYPERCUBE SAMPLING BASED ON THE ANN-HPSOGA MODEL FOR ESTIMATION OF THE CREATION PROBABILITY OF DAMAGED ZONE AROUND UNDERGROUND SPACES
The excavation damaged zone (EDZ) can be defined as a rock zone where the rock properties and conditions have been changed due to the processes related to an excavation. This zone affects the behavior of rock mass surrounding the construction that reduces the stability and safety factor and increase probability of failure of the structure. In this paper, a methodology was examined for computing...
متن کامل