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Updated: Jul 3, 2026

Real-time Analysis of Transcription Factor Binding, Transcription, Translation, and Turnover to Display Global Events During Cellular Activation
Published on: March 7, 2018
When activators repress and repressors activate: a qualitative analysis of the Shea-Ackers model
Tomás Gedeon1, Konstantin Mischaikow, Kate Patterson
1Department of Mathematics, Montana State University, Bozeman, MT 59715, USA.
Abstract:
The concept of activation in transcriptional regulation is based on the assumption that product mRNA increases monotonically as a function of regulator concentration. We analyze the Shea-Ackers model of transcription and find this assumption to be correct only for the simplest of promoters. We define a new regulatory constant that is a nonlinear combination of association and transcription initiation constants characterizing activation and repression for more complicated promoters. Our results can guide the synthesis of new promoters and lead to a deeper understanding of the constraints guiding the natural promoters evolution.
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