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I can answer this question only based on guesses because I am not really sure about your claim that activators are higher in number than repressors. So consider this as an extended comment. While activators can interact directly or indirectly with the core machinery of transcription through enhancer binding, repressors predominantly recruit ...


Your logic looks correct to me. Essentially, what you are doing is uniformly distributing the regulator among the available mRNA. Note that even when using Hill functions to model transcription, the ratio of transcription factor (TF) concentration to the number of TF binding sites must be large - otherwise, you would have to consider binding ratios even at ...

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