Gene x encodes a repressor that represses gene y, which also encodes a repressor. Both x and y negatively regulate their own promoters.
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Gene X encodes a repressor that represses gene Y, which also encodes a repressor. Both X and Y negatively regulate their own promoters. (a) At time t=0, X begins to be produced at rate β, starting from an initial concentration of X=0. What are the dynamics of X and Y? What are the response times of X and Y? Assume logic input functions, with repression thresholds Kxx, Kxy for the action of X on its own promoter and on the Y promoter and Kyy for the action of Y on its own promoter. (b) At time t=0, production of X stops after a long period of production, and X concentration decays from an initial steady-state level.
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