Identifiability of population models via a measure theoretical approach
Identifiability of population models via a measure theoretical approach
复制标题
通过测量理论方法确定人口模型
DOI：
10.3182/20140824-6-za-1003.00547
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
F. Allgöwer
中科院分区：
文献类型：
--
作者：
S. Waldherr;Shen Zeng;F. Allgöwer
细胞群体的异质性是活组织或微生物菌落中细胞系统动力学的一个主要因素。这种异质性需要考虑到实验观察的解释，以及在细胞系统的预测模型的建设。异质细胞群体的常见建模框架是由单细胞模型的无限集合。在这个框架中，细胞群体的状态由单个细胞状态的分布来建模。本文研究在什么条件下种群模型是可识别的，即我们可以从动态输出分布中确定细胞状态和参数的初始分布。根据线性和非线性控制理论的经典可观测性结果，导出了单细胞模型的一个必要条件。通过实例说明了我们的结果。
Abstract Heterogeneity in cell populations is a major factor in the dynamics of cellular systems in living tissue or microbial colonies. This heterogeneity needs to be taken into account for the interpretation of experimental observations as well as in the construction of predictive models for cellular systems. A common modelling framework for heterogeneous cell population is by an infinite ensemble of single cell models. The state of a cell population is in this framework modelled by the distribution of the single cell states. In this paper we study under which conditions the population model is identifiable, i.e., we can determine the initial distribution of cell states and parameters from a dynamic output distribution. We derive a necessary condition on the single cell model based on the classical observability results from linear and nonlinear control theory. Our results are illustrated via examples.
影响因子：
3
作者：
Hasenauer J;Waldherr S;Doszczak M;Radde N;Scheurich P;Allgöwer F
通讯作者：
Allgöwer F
DOI：
10.1109/cdc.2014.7039635
发表时间：
2014
期刊：
53rd IEEE Conference on Decision and Control
影响因子：
--
作者：
Waldherr;Allgöwer
通讯作者：
Allgöwer