Research Article

Biochemical Frequency Control by Synchronisation of Coupled Repressilators: An In Silico Study of Modules for Circadian Clock Systems

Figure 6

Synchronisation window: ratios of initial frequencies subject to synchronous frequency considering a variety of relevant coupling strengths d i = 0 . 0 1 , , 0 . 1 3 (variant of an Arnold tongue, a circle map disclosing dependencies of system parameters within a range of stable oscillation). Due to the bidirectionally balanced coupling strength, an almost symmetric synchronisation window can be obtained which is delimited by polyfrequential oscillations with respect to the ratios of initial frequencies and loss of undamped oscillation with respect to coupling strength.
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