Positive and negative feedback loops coupled by common transcription activator and repressor

• Authors: Jan Sielewiesiuk , Agata Łopaciuk
• Languages of publication: EN

Abstracts

EN

Dynamical systems consisting of two interlocked loops with negative and positive feedback have been studied using the linear analysis of stability and numerical solutions. Conditions for saddle-node bifurcation were formulated in a general form. Conditions for Hopf bifurcations were found in a few symmetrical cases. Auto-oscillations, when they exist, are generated by the negative feedback repressive loop. This loop determines the frequency and amplitude of oscillations. The positive feedback loop of activation slightly modifies the oscillations. Oscillations are possible when the difference between Hilll’s coefficients of the repression and activation is sufficiently high. The highly cooperative activation loop with a fast turnover slows down or even makes the oscillations impossible. The system under consideration can constitute a component of epigenetic or enzymatic regulation network.

• Publisher: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Journal: Annales Universitatis Mariae Curie-Skłodowska, sectio AAA – Physica
• Year: 2014
• Volume: 69

Dates

published

2014

online

22 - 05 - 2015

Contributors

author

Jan Sielewiesiuk

author

Agata Łopaciuk

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Identifiers

DOI

10.17951/aaa.2014.69.95