ArticleJournal of mathematical biology2021
Operon dynamics with state dependent transcription and/or translation delays.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Effect of transcriptional delay on ribosome abundance control.Journal of mathematical biology · 2026Article
- Dynamics, Noise, Delays and the Gibbs and Conditional Entropy.Entropy (Basel, Switzerland) · 2026Article
- Stochastic Gene Expression Model with State-Dependent Protein Activation Delay.bioRxiv : the preprint server for biology · 2026Article
- Dynamic processes of fate decision in inducible bistable systems.Biophysical journal · 2024Article
- The dynamic-process characterization and prediction of synthetic gene circuits by dynamic delay model.iScience · 2024Article
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Authors and funding
5 authors.
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Abstract
Transcription and translation retrieve and operationalize gene encoded information in cells. These processes are not instantaneous and incur significant delays. In this paper we study Goodwin models of both inducible and repressible operons with state-dependent delays. The paper provides justification and derivation of the model, detailed analysis of the appropriate setting of the corresponding dynamical system, and extensive numerical analysis of its dynamics. Comparison with constant delay models shows significant differences in dynamics that include existence of stable periodic orbits in inducible systems and multistability in repressible systems. A combination of parameter space exploration, numerics, analysis of steady state linearization and bifurcation theory indicates the likely presence of Shilnikov-type homoclinic bifurcations in the repressible operon model.
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