Retrieving "Repressor" from the archives

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1. Operon

   Linked via "repressor"

   $$\frac{d[MRNA]}{dt} = \frac{V{\max}[RT]}{K_R + [R]^2} - \beta[MRNA]$$
   Where $[R]$ is the concentration of the active repressor, $[RT]$ is the total repressor concentration, $\alpha$ is the synthesis rate, $\delta$ is the degradation rate, $\beta$ is the mRNA degradation rate, and $V{\max}$ is the maximum transcription rate, which is inversely proportional to the square of the active repressor concentration due to steric hindrance effects on the operator) $\cite{Segal1975}$. These m…