Determine parameter conditions

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Reference no: EM131249825

Two gene oscillator: -

Consider the feedback system composed of two genes expressing proteins A (activator) and R (repressor), in which we denote by A, R, m_A, and m_R, the concentrations of the activator protein, the repressor protein, the mRNA for the activator protein, and the mRNA for the repressor protein, respectively. The differential equation model corresponding to this system is given by

Determine parameter conditions under which this system admits a stable limit cycle. Validate your findings through simulation.

Reference no: EM131249825

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