Sontag Eduardo D
Department of Mathematics and Center for Quantitative Biology, Hill Center, Rutgers University, Piscataway, New Jersey, United States of America.
PLoS Comput Biol. 2017 Apr 6;13(4):e1005447. doi: 10.1371/journal.pcbi.1005447. eCollection 2017 Apr.
A recent paper by Karin et al. introduced a mathematical notion called dynamical compensation (DC) of biological circuits. DC was shown to play an important role in glucose homeostasis as well as other key physiological regulatory mechanisms. Karin et al. went on to provide a sufficient condition to test whether a given system has the DC property. Here, we show how DC can be formulated in terms of a well-known concept in systems biology, statistics, and control theory-that of parameter structural non-identifiability. Viewing DC as a parameter identification problem enables one to take advantage of powerful theoretical and computational tools to test a system for DC. We obtain as a special case the sufficient criterion discussed by Karin et al. We also draw connections to system equivalence and to the fold-change detection property.
卡琳等人最近发表的一篇论文引入了一种名为生物电路动态补偿（DC）的数学概念。研究表明，DC在葡萄糖稳态以及其他关键生理调节机制中发挥着重要作用。卡琳等人进而提供了一个充分条件，以测试给定系统是否具有DC特性。在此，我们展示了如何根据系统生物学、统计学和控制理论中的一个著名概念——参数结构不可识别性来阐述DC。将DC视为一个参数识别问题，能够利用强大的理论和计算工具来测试系统是否具有DC特性。作为一个特殊情况，我们得到了卡琳等人讨论的充分准则。我们还建立了与系统等价性和倍数变化检测特性的联系。
