论文标题
线性隔室模型中可识别的路径和周期
Identifiable paths and cycles in linear compartmental models
论文作者
论文摘要
我们介绍了一类称为可识别路径/循环模型的线性隔室模型，该模型具有与有向周期和从输入隔室到输出隔室的有向周期和路径相关的所有参数的属性，都是可识别的，并提供足够的条件来获得一个。然后，我们删除泄漏，然后展示如何从可识别的路径/循环模型获得局部识别的模型。这些可识别的路径/循环模型在其图形结构上产生具有某些条件的唯一可识别模型，因此我们为具有某些图形属性的可识别模型提供了必要的条件。还提供了基于模型的图形结构的充分条件，以便通过检查图形本身来测试模型是否是可识别的路径/循环模型。我们还基于图形结构提供了一些必要条件，可识别可识别性。我们的证明使用代数和组合技术。
We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of parameters associated to the directed cycles and paths from input compartments to output compartments are identifiable and give sufficient conditions to obtain one. Removing leaks, we then show how one can obtain a locally identifiable model from an identifiable path/cycle model. These identifiable path/cycle models yield the only identifiable models with certain conditions on their graph structure and thus we provide necessary and sufficient conditions for identifiable models with certain graph properties. A sufficient condition based on the graph structure of the model is also provided so that one can test if a model is an identifiable path/cycle model by examining the graph itself. We also provide some necessary conditions for identifiability based on graph structure. Our proofs use algebraic and combinatorial techniques.
