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2014 | 69 |

Article title

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

Content

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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.

Keywords

Year

Volume

69

Physical description

Dates

published
2014
online
22 - 05 - 2015

Contributors

References

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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.ojs-doi-10_17951_aaa_2014_69_95
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