Vicini P, Cobelli C
Department of Bioengineering, University of Washington, Seattle, USA.
Ann Biomed Eng. 1999 Mar-Apr;27(2):200-7. doi: 10.1114/1.174.
A priori identifiability deals with the uniqueness of the solution for the unknown parameters of a dynamic model from a given input-output experiment, and is a prerequisite for well posedness of parameter estimation from the data. Identifiability has been extensively investigated for lumped parameter, linear, and nonlinear dynamic models, in particular, compartmental models of biological systems. Much less attention has been devoted to distributed parameter model, in particular, those describing blood-tissue exchange, which are normally used to interpret regional multiple tracer dilution experiments. In this paper, we study a priori identifiability of distributed parameter models of transcapillary exchange, focusing first on a single capillary (one-region) model, then moving on to a single capillary-interstitial fluid (two-region) model, and finally to an organ model also describing flow heterogeneity.
先验可识别性涉及从给定的输入 - 输出实验中确定动态模型未知参数解的唯一性，并且是从数据进行参数估计适定性的前提条件。对于集中参数、线性和非线性动态模型，特别是生物系统的房室模型，可识别性已经得到了广泛研究。而对于分布参数模型，特别是那些描述血液 - 组织交换的模型，关注较少，这类模型通常用于解释区域多示踪剂稀释实验。在本文中，我们研究跨毛细血管交换分布参数模型的先验可识别性，首先关注单个毛细血管（单区域）模型，然后转向单个毛细血管 - 组织间液（双区域）模型，最后研究一个也描述血流异质性的器官模型。
