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Article Dans Une Revue Journal of Theoretical Biology Année : 2019

Analysis of a genetic-metabolic oscillator with piecewise linear models

Résumé

Interactions between gene regulatory networks and metabolism generate a diversity of dynamics, including multistability and oscillatory behavior. Here, we characterize a regulatory mechanism that drives the emergence of periodic oscillations in metabolic networks subject to genetic feedback regulation by pathway intermediates. We employ a qualitative formalism based on piecewise linear models to systematically analyze the behavior of gene-regulated metabolic pathways. For a pathway with two metabolites and three enzymes, we prove the existence of two co-existing oscillatory behaviors: damped oscillations towards a fixed point or sustained oscillations along a periodic orbit. We show that this mechanism closely resembles the "metabolator", a genetic-metabolic circuit engineered to produce autonomous oscillations in vivo.
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Dates et versions

hal-01936225 , version 1 (27-11-2018)

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Madalena Chaves, Diego A. Oyarzun, Jean-Luc Gouzé. Analysis of a genetic-metabolic oscillator with piecewise linear models. Journal of Theoretical Biology, 2019, 462, pp.259 - 269. ⟨10.1016/j.jtbi.2018.10.026⟩. ⟨hal-01936225⟩
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