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2015 | 69 | 1 | 93-114
Article title

Positive And Negative Feedback Loops Coupled By Common Transcription Activator And Repressor

Content
Title variants
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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.
Publisher
Year
Volume
69
Issue
1
Pages
93-114
Physical description
Dates
published
1 - 3 - 2015
online
13 - 3 - 2015
References
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Document Type
Publication order reference
YADDA identifier
bwmeta1.element.-psjd-doi-10_1515_physica-2015-0006
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