动态补偿与结构可识别性：分析、影响与协调
Dynamical compensation and structural identifiability: analysis, implications, and reconciliation
AI总结：
本文分析动态补偿与结构可识别性的关系，指出其等价性及对生物建模参数估计的影响，提出替代定义并展示如何使模型可识别同时保持动态补偿。
摘要：
动态补偿的概念 recently 被引入，用于描述生物系统在参数变化时保持输出动态不变的能力。本文证明，根据其原始定义，动态补偿等同于缺乏结构可识别性。这在生物建模中参数估计时尤为重要。这一发现促使我们警告在使用不可识别模型提取生物见解时需谨慎：结构不可识别参数的估计值无意义，且对未测量状态变量的模型预测可能错误。考虑到这一点，我们探讨了不必然导致结构不可识别性的动态补偿替代定义。相应地，我们展示了如何使模型在表现出动态补偿的同时变得可识别。我们的分析使动态补偿概念在参数识别背景下得以应用，并将其与结构可识别性这一理想属性协调一致。
英文摘要：
The concept of dynamical compensation has been recently introduced to describe the ability of a biological system to keep its output dynamics unchanged in the face of varying parameters. Here we show that, according to its original definition, dynamical compensation is equivalent to lack of structural identifiability. This is relevant if model parameters need to be estimated, which is often the case in biological modelling. This realization prompts us to warn that care should we taken when using an unidentifiable model to extract biological insight: the estimated values of structurally unidentifiable parameters are meaningless, and model predictions about unmeasured state variables can be wrong. Taking this into account, we explore alternative definitions of dynamical compensation that do not necessarily imply structural unidentifiability. Accordingly, we show different ways in which a model can be made identifiable while exhibiting dynamical compensation. Our analyses enable the use of the new concept of dynamical compensation in the context of parameter identification, and reconcile it with the desirable property of structural identifiability.
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