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Original Article

When Activators Repress and Repressors Activate: A Qualitative Analysis of the Shea–Ackers Model

Tomáš Gedeon1, 2, Konstantin Mischaikow3, 4, Kate PattersonContact Information and Eliane Traldi4

(1)  Department of Mathematics, Montana State University, Bozeman, MT 59715, USA
(2)  Center for Computational Biology, Montana State University, Bozeman, MT 59715, USA
(3)  Department of Mathematics, Rutgers, The State University of New Jersey, 110 Frelinghuysen Rd, Piscataway, NJ 08854-8019, USA
(4)  BioMaPS Institute, Rutgers, The State University of New Jersey, 110 Frelinghuysen Rd, Piscataway, NJ 08854-8019, USA

Received: 28 November 2007  Accepted: 12 February 2008  Published online: 22 July 2008

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.

Keywords  Mass action kinetics - Prokaryotic transcription - Activator - Repressor


Contact Information Kate Patterson
Email: kate.rardin@gmail.com
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