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2014 ; 30
(13
): 1892-8
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Derivative processes for modelling metabolic fluxes
#MMPMID24578401
Zurauskien? J
; Kirk P
; Thorne T
; Pinney J
; Stumpf M
Bioinformatics
2014[Jul]; 30
(13
): 1892-8
PMID24578401
show ga
MOTIVATION: One of the challenging questions in modelling biological systems is
to characterize the functional forms of the processes that control and
orchestrate molecular and cellular phenotypes. Recently proposed methods for the
analysis of metabolic pathways, for example, dynamic flux estimation, can only
provide estimates of the underlying fluxes at discrete time points but fail to
capture the complete temporal behaviour. To describe the dynamic variation of the
fluxes, we additionally require the assumption of specific functional forms that
can capture the temporal behaviour. However, it also remains unclear how to
address the noise which might be present in experimentally measured metabolite
concentrations. RESULTS: Here we propose a novel approach to modelling metabolic
fluxes: derivative processes that are based on multiple-output Gaussian processes
(MGPs), which are a flexible non-parametric Bayesian modelling technique. The
main advantages that follow from MGPs approach include the natural non-parametric
representation of the fluxes and ability to impute the missing data in between
the measurements. Our derivative process approach allows us to model changes in
metabolite derivative concentrations and to characterize the temporal behaviour
of metabolic fluxes from time course data. Because the derivative of a Gaussian
process is itself a Gaussian process, we can readily link metabolite
concentrations to metabolic fluxes and vice versa. Here we discuss how this can
be implemented in an MGP framework and illustrate its application to simple
models, including nitrogen metabolism in Escherichia coli. AVAILABILITY AND
IMPLEMENTATION: R code is available from the authors upon request.