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2017 ; 14
(131
): ä Nephropedia Template TP
gab.com Text
Twit Text FOAVip
Twit Text #
English Wikipedia
A Bayesian approach to estimating hidden variables as well as missing and wrong
molecular interactions in ordinary differential equation-based mathematical
models
#MMPMID28615495
Engelhardt B
; Kschischo M
; Fröhlich H
J R Soc Interface
2017[Jun]; 14
(131
): ä PMID28615495
show ga
Ordinary differential equations (ODEs) are a popular approach to quantitatively
model molecular networks based on biological knowledge. However, such knowledge
is typically restricted. Wrongly modelled biological mechanisms as well as
relevant external influence factors that are not included into the model are
likely to manifest in major discrepancies between model predictions and
experimental data. Finding the exact reasons for such observed discrepancies can
be quite challenging in practice. In order to address this issue, we suggest a
Bayesian approach to estimate hidden influences in ODE-based models. The method
can distinguish between exogenous and endogenous hidden influences. Thus, we can
detect wrongly specified as well as missed molecular interactions in the model.
We demonstrate the performance of our Bayesian dynamic elastic-net with several
ordinary differential equation models from the literature, such as human JAK-STAT
signalling, information processing at the erythropoietin receptor, isomerization
of liquid ?-Pinene, G protein cycling in yeast and UV-B triggered signalling in
plants. Moreover, we investigate a set of commonly known network motifs and a
gene-regulatory network. Altogether our method supports the modeller in an
algorithmic manner to identify possible sources of errors in ODE-based models on
the basis of experimental data.