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On a Queueing Theory Method to Simulate In-Silico Metabolic Networks

(E-pub Ahead of Print)

Author(s): Emalie J. Clement, Beata J. Wysocki, Paul H. Davis, Tadeusz A. Wysocki.

Abstract:

Background: The vast catalog of metabolites and extensive set of interactions within even the simplest cells can present a daunting task for analyzing, and especially simulating, metabolic networks. Yet many metabolites have associations with functionally related processes, convenient for organizing metabolites into pathways. Any perturbation in concentration of a single metabolite involves dynamic changes in concentrations of metabolites involved in a particular metabolic pathway and beyond. A standard approach to model such changes is the use of sets of ordinary differential equations; but because of the total number of dependent variables, a solution to such a set of equations is very computationally intensive and carries significant error. There is also no guarantee that the solution is always non-negative and numerically stable.

Objective: The main purpose of the study is to overcome the deficiencies of standard ODE modeling of metabolic networks.

Methods: In this paper, we propose to model in-silico metabolic networks as queueing networks, similar to the way that computer networks are modeled.

Results: The proposed approach builds on successful applications of queueing theory to model other biological processes, such as gene delivery or molecular signaling. The basic mathematical underpinning of the modeling method is introduced. This is followed by the description of a general building block that can be used to model changes in concentration of a single metabolite and which can be interconnected with the interacting metabolites modeled by similar blocks.

Conclusion: The presented simulation method has a potential to become a standard scalable method of modeling metabolomics networks.

Keywords: In-silico modeling; metabolic networks; queueing theory; stochastic modeling; dynamic systems; metabolic pathways.

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Article Details

VOLUME: 5
Year: 2017
(E-pub Ahead of Print)
DOI: 10.2174/2213235X05666161221160658
Price: $95