We study the identifiability of some mathematical models of spreading TB and HIV coinfections in a population and the dynamics of HIV-infection at the cellular level. Sensitivity analysis is carried out using the orthogonal method and the eigenvalue method which are based on studying the properties of the sensitivity matrix and show the effect of the model coefficient change on simulation results. Practical identifiability is investigated which determines the possibility of reconstructing coefficients from the noisy experimental data. The analysis is performed using the correlation matrix and Monte Carlo method, while taking into consideration the Gaussian noise in measurements. The results of numerical calculations are presented on whose basis we obtain the identifiable sets of parameters.

中文翻译：

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生物学中某些数学模型的敏感性分析和实践可辨识性

我们研究了在人群中传播结核病和艾滋病毒共感染的一些数学模型的可识别性，以及在细胞水平上艾滋病毒感染的动态。在研究灵敏度矩阵的性质的基础上，使用正交方法和特征值方法进行灵敏度分析，并显示模型系数变化对仿真结果的影响。研究了实用的可识别性，它确定了从嘈杂的实验数据中重建系数的可能性。使用相关矩阵和蒙特卡洛方法进行分析，同时考虑到测量中的高斯噪声。给出了数值计算的结果，并在此基础上获得了可识别的参数集。