Genes whose transcription is regulated by the typical dimer would have decreased activity.
This is due to the transcription factor's failure to interact with mediator proteins, despite being able to bind to the enhancer or promoter region of the DNA that needs to be transcribed. As a result, the transcription factor would not be able to carry out its intended function. The so-called "coactivators" of transcription are the mediator proteins. To activate and accelerate the rate of transcription, they collaborate with transcription factors. The rate of transcription will slow down if they don't interact with the transcription factors properly.
Thus transcriptional activity of genes regulated by the typical dimer would be reduced.
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