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Dynamic compensation, parameter identifiability, and equivariances.
- Source :
- PLoS Computational Biology; 4/6/2017, Vol. 13 Issue 4, p1-17, 17p
- Publication Year :
- 2017
-
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 is a reformulation 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- BIOLOGICAL circuits
GLUCOSE
HOMEOSTASIS
SYSTEMS biology
CONTROL theory (Engineering)
Subjects
Details
- Language :
- English
- ISSN :
- 1553734X
- Volume :
- 13
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- PLoS Computational Biology
- Publication Type :
- Academic Journal
- Accession number :
- 122336776
- Full Text :
- https://doi.org/10.1371/journal.pcbi.1005447