Structural identifiability of polynomial and rational systems
Structural identifiability of polynomial and rational systems
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DOI：
10.1016/j.mbs.2009.11.002
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发表时间：
2010-02-01
影响因子：
4.3
通讯作者：
Nemcova, Jana
中科院分区：
文献类型：
--
作者：
Nemcova, Jana
因为生物现象的分析和模拟需要其完全指定的模型的可用性。需要能够估计模型的未知参数值。本文讨论了参数化的可辨识性，即参数值与模型输出的一一对应性。参数化的可识别性的验证先于参数的数值的估计，并且因此确定所考虑的现象的完全指定的模型。我们推导出多项式和有理系统的参数化是结构或全局可识别的充分必要条件。结果被应用于研究系统建模的两个酶催化的不可逆反应链的可识别性。其他的例子处理的现象，通过使用Michaelis-Menten动力学模型和模型的一个peparticle链伸长。(C)2009 Elsevier Inc. All rights reserved.
Since analysis and simulation of biological phenomena require the availability of their fully specified models. one needs to be able to estimate unknown parameter values of the models. In this paper we deal with identifiability of parametrizations which is the property of one-to-one correspondence of parameter values and the corresponding outputs of the models. Verification of identifiability of a parametrization precedes estimation of numerical values of parameters, and thus determination of a fully specified model of a considered phenomenon. We derive necessary and sufficient conditions for the parametrizations of polynomial and rational systems to be structurally or globally identifiable. The results are applied to investigate the identifiability properties of the system modeling a chain of two enzyme-catalyzed irreversible reactions. The other examples deal with the phenomena modeled by using Michaelis-Menten kinetics and the model of a pepticle chain elongation. (C) 2009 Elsevier Inc. All rights reserved.