Title
Dynamic compensation, parameter identifiability, and equivariances.
Abstract
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.
Year
DOI
Venue
2017
10.1371/journal.pcbi.1005447
PLOS COMPUTATIONAL BIOLOGY
Field
DocType
Volume
Applied mathematics,Biology,Identifiability,Systems biology,Synthetic biological circuit,Statistics,Genetics,System equivalence
Journal
13
Issue
ISSN
Citations 
4
1553-7358
3
PageRank 
References 
Authors
0.41
11
1
Name
Order
Citations
PageRank
Eduardo D. Sontag13134781.88