The Application of Runge-Kutta Algorithms on Dynamic Model of Simulating Glycolytic Metabolism of Escherichia coli

Abstract:

With the development of dynamic flux balance analysis for investigating cellular metabolic network systems, a lot of progress has been obtained on simulating the dynamic behaviors of them. These behaviors include simulating the time curve for biomass producing, the subtrate consuming, the variations of metabolite concentrations, and so on. In this paper, in order to get more precise predictions on the instantaneous concentrations of the biomass and substrates in glycolytic pathway of Escherichia coli, we apply the third order Kutta formula and the Gill formula to the dynamic model. The model is constructed as an optimal control problem and solved by an exterior point penalty function method. The simulation results for both biomass and glucose show that the prediction curves are sufficiently consistent with the experimental observations.

• Periodical: Advanced Materials Research (Volume 647)
• Pages: 554-559
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.647.554
• Online since: January 2013
• Authors: Qing Hua Zhou, Juan Xie, Jing Cui
• Keywords: Dynamic Model, E. coli, Metabolic Network, Runge-Kutta Algorithms

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