Global identifiability of nonlinear models of biological systems
Global identifiability of nonlinear models of biological systems
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DOI：
10.1109/10.900248
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发表时间：
2001-01-01
影响因子：
4.6
通讯作者：
Cobelli, C
中科院分区：
文献类型：
--
作者：
Audoly, S;Bellu, G;Cobelli, C
生物和生理系统参数估计适定性的一个前提是先验全局可辨识性，这是一个关于未知模型参数解的唯一性的属性。对于非线性动力学模型，先验全局可辨识性的评估特别困难，文献中提出了各种方法，但在一般情况下没有解决方案。本文提出了一种基于微分代数的非线性动力学模型全局可辨识性检验的新算法。该算法有效地计算了动力学方程的特征集，并利用计算机代数技术求解了所得的非线性代数方程组。该算法能够处理生物系统模型中出现的许多特征，包括零初始条件和时变参数。使用该算法的生物和生理系统的非线性模型的先验全局可识别性分析的例子。
A prerequisite for well-posedness of parameter estimation of biological and physiological systems is a priori global identifiability, a property which concerns uniqueness of the solution for the unknown model parameters. Assessing a priori global identifiability is particularly difficult for nonlinear dynamic models, Various approaches have been proposed in the literature but no solution exists in the general case. In this paper, we present a new algorithm for testing global identifiability of nonlinear dynamic models, based on differential algebra, The characteristic set associated to the dynamic equations is calculated in an efficient way and computer algebra techniques are used to solve the resulting set of nonlinear algebraic equations. The algorithm is capable of handling many features arising in biological system models, including zero initial conditions and time-varying parameters. Examples of usage of the algorithm for analyzing a priori global identifiability of nonlinear models of biological and physiological systems are presented.