Write the differential equation model of the system

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Reference no: EM131249819

Goodwin oscillator:-

Consider the simple set of reactions

Assume further that X_n is a transcription factor that represses the production of protein X₁ through transcriptional regulation (assume simple binding of X_n to DNA). Neglecting the mRNA dynamics of X₁, write the differential equation model of this system and determine conditions on the length n of the cascade for which the system admits a stable limit cycle. Validate your findings through simulation.

Reference no: EM131249819

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