When activators repress and repressors activate: A qualitative analysis of the Shea-Ackers model

Tomáš Gedeon, Konstantin Mischaikow, Kate Patterson, Eliane Traldi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1660-1683
Number of pages24
JournalBulletin of Mathematical Biology
Volume70
Issue number6
DOIs
StatePublished - Aug 2008

All Science Journal Classification (ASJC) codes

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Pharmacology
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics

Keywords

  • Activator
  • Mass action kinetics
  • Prokaryotic transcription
  • Repressor

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