Dynamic compensation, parameter identifiability, and equivariances. Sontag, E. PLoS Computational Biology, 13:e1005447, 2017. Preprint was in bioRxiv https://doi.org/0.1101/095828, 2016.Paper abstract bibtex 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.
@ARTICLE{plos2017_dynamic_compensation,
AUTHOR = {E.D. Sontag},
JOURNAL = {PLoS Computational Biology},
TITLE = {Dynamic compensation, parameter identifiability, and
equivariances},
YEAR = {2017},
OPTMONTH = {},
NOTE = {Preprint was in bioRxiv https://doi.org/0.1101/095828, 2016.},
OPTNUMBER = {},
PAGES = {e1005447},
VOLUME = {13},
KEYWORDS = {fcd, fold-change detection, scale invariance,
dynamic compensation, identifiability, observability},
URL = {https://doi.org/10.1371/journal.pcbi.1005447},
PDF = {../../FTPDIR/dynamic_compensation_parameter_identifiability_equivariances_sontag_plos2017.pdf},
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.}
}
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