Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics
Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics
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DOI：
10.1016/j.bulm.2003.10.011
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发表时间：
2004-09-01
影响因子：
3.5
通讯作者：
Nelson, PW
中科院分区：
文献类型：
--
作者：
Bortz, DM;Nelson, PW
一个正式的敏感性分析进行延迟微分方程模型的病毒动力学的体内HIV感染蛋白酶抑制剂治疗期间。我们提出的差分分析以及基于主成分的分析的结果，并提供证据表明，在特定的参数对解决方案的影响最大的确切时间。我们提供了对生产性感染的T细胞死亡率δ，病毒血浆清除率c和感染和病毒生产之间的时间延迟τ之间的成对数学关系的见解，因为它们与病毒动力学有关。结果支持的主张，存在的非零延迟有一个重大的影响模型的动态。最后，我们评论的不足之处的替代主成分为基础的分析。(C)2003年，数学生物学。由爱思唯尔有限公司出版。保留所有权利。
A formal sensitivity analysis is performed on a delay differential equation model for the viral dynamics of an in vivo HIV infection during protease inhibitor therapy. We present results of both a differential analysis as well as a principle component based analysis and provide evidence that suggests the exact times at which specific parameters have the most influence over the solution. We offer insight into the pairwise mathematical relationships between the productively infected T-cell death rate delta, the viral plasma clearance rate c, and the time delay tau between infection and viral production as they relate to the viral dynamics. The results support the claim that the presence of a nonzero delay has a major impact on the model dynamics. Lastly, we comment upon the inadequacies of an alternative principle component based analysis. (C) 2003 Society for Mathematical Biology. Published by Elsevier Ltd. All rights reserved.