Institute for Computational Engineering and Sciences, University of Texas at Austin, 201 East 24th St, Austin, TX, 78735, USA.
Department of Mathematics, Florida State University, 1017 Academic Way, Tallahassee, FL, 32306, USA.
Bull Math Biol. 2017 Oct;79(10):2258-2272. doi: 10.1007/s11538-017-0329-7. Epub 2017 Jul 27.
We apply two different sensitivity techniques to a model of bacterial colonization of the anterior nares to better understand the dynamics of Staphylococcus aureus nasal carriage. Specifically, we use partial rank correlation coefficients to investigate sensitivity as a function of time and identify a reduced model with fewer than half of the parameters of the full model. The reduced model is used for the calculation of Sobol' indices to identify interacting parameters by their additional effects indices. Additionally, we found that the model captures an interesting characteristic of the biological phenomenon related to the initial population size of the infection; only two parameters had any significant additional effects, and these parameters have biological evidence suggesting they are connected but not yet completely understood. Sensitivity is often applied to elucidate model robustness, but we show that combining sensitivity measures can lead to synergistic insight into both model and biological structures.
我们将两种不同的敏感度技术应用于鼻腔前部细菌定植的模型中,以更好地了解金黄色葡萄球菌鼻腔携带的动力学。具体来说,我们使用偏秩相关系数来研究敏感度随时间的变化,并确定一个具有少于全模型一半参数的简化模型。简化模型用于计算 Sobol' 指数,以通过其附加效应指数来识别相互作用的参数。此外,我们发现该模型捕捉到了与感染初始种群大小相关的生物学现象的一个有趣特征;只有两个参数具有任何显著的附加效应,并且这些参数具有生物学证据表明它们是相互关联的,但尚未完全理解。敏感度通常用于阐明模型的稳健性,但我们表明,结合敏感度测量可以协同深入了解模型和生物学结构。