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Table 1 Formulas for oscillator characteristics (OCs)

From: An oscillating reaction network with an exact closed form solution in the time domain

  1. OCs are expressed in terms of the kinetic constants \(k_i\) of the reaction network in Fig. 1 and the initial concentrations of the chemical species, \(x_n(0)\) for species \(S_n\). The formulas are obtained by solving the system of equations for the reaction network. The oscillator characteristics (OCs) are: amplitude (\(\alpha _n\)), frequency (\(\theta\)), phase (\(\phi _n\)), and DC offset (\(\omega _n\)). The terms \(\pi _1, \pi _2\) are defined in the text, and reflect technical details related to the inverting the tangent function