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Highlights • I present a way of breaking down regulatory networks to find Hopf bifurcations. This helps find optimal conditions for oscillations in dynamical systems models of these networks.• In… Click to show full abstract
Highlights • I present a way of breaking down regulatory networks to find Hopf bifurcations. This helps find optimal conditions for oscillations in dynamical systems models of these networks.• In a model of negative auto-regulation of a gene by its dimeric protein, it is optimal for the monomer to degrade faster than the mRNA and the mRNA to degrade faster than the dimer.• Adding a weak positive feedback loop to a repressilator increases the probability of oscillations.• The optimal degradation rate of species in the sub-loop is higher than that of species outside it.• The opposite is true for a negative feedback sub-loop or a very strong positive feedback sub-loop.
Journal Title: Journal of Theoretical Biology
Year Published: 2019
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