Structural global parameter identifiability indicates whether one can determine a parameter's value in an ODE model from given inputs and outputs. If a given model has parameters for which there is exactly one value, such parameters are called identifiable. We present a procedure for replacing, if possible, a given ODE model involving not identifiable parameters by an equivalent one such that the new set of parameters is identifiable. We first derive this as an algorithm for one-dimensional ODE models and then reuse this approach for higher-dimensional models.
翻译:结构全局参数可辨识性指能否根据给定的输入和输出确定ODE模型中参数的值。若给定模型中的参数存在唯一对应值,则此类参数称为可辨识参数。本文提出一种方法:在可能的情况下,将包含不可辨识参数的原始ODE模型替换为参数集可辨识的等效模型。我们首先推导出一维ODE模型的算法,随后将该方法推广至高维模型。