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Abstract: We investigate the stability properties of two different classes of metaboliccycles using a combination of analytical and computational methods. Usingprinciples from structural kinetic modeling SKM, we show that the stabilityof metabolic networks with certain structural regularities can be studied usinga combination of analytical and computational techniques. We then apply thesetechniques to a class of single input, single output metabolic cycles, and findthat the cycles are stable under all conditions tested. Next, we extend ouranalysis to a small autocatalytic cycle, and determine parameter regimes withinwhich the cycle is very likely to be stable. We demonstrate that analyticalmethods can be used to understand the relationship between kinetic parametersand stability, and that results from these analytical methods can be confirmedwith computational experiments. In addition, our results suggest that elevatedmetabolite concentrations and certain crucial saturation parameters canstrongly affect the stability of the entire metabolic cycle. We discuss ourresults in light of the possibility that evolutionary forces may select formetabolic network topologies with a high intrinsic probability of being stable.Furthermore, our conclusions support the hypothesis that certain types ofmetabolic cycles may have played a role in the development of primitivemetabolism despite the absence of regulatory mechanisms.



Autor: Ed Reznik, Daniel Segrè

Fuente: https://arxiv.org/







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