Delay model of circadian gene expression with two negative feedback loops

2006 ◽  
Vol 37 (5) ◽  
pp. 405-417
Author(s):  
Andreas Bohn ◽  
José R. Lopes ◽  
Luís A. Diambra ◽  
Luiz S. Menna-Barreto
eLife ◽  
2015 ◽  
Vol 4 ◽  
Author(s):  
Guy Wiedermann ◽  
Robert Alexander Bone ◽  
Joana Clara Silva ◽  
Mia Bjorklund ◽  
Philip J Murray ◽  
...  

Somitogenesis is regulated by a molecular oscillator that drives dynamic gene expression within the pre-somitic mesoderm. Previous mathematical models of the somitogenesis clock that invoke the mechanism of delayed negative feedback predict that its oscillation period depends on the sum of delays inherent to negative-feedback loops and inhibitor half-lives. We develop a mathematical model that explores the possibility that positive feedback also plays a role in determining the period of clock oscillations. The model predicts that increasing the half-life of the positive regulator, Notch intracellular domain (NICD), can lead to elevated NICD levels and an increase in the oscillation period. To test this hypothesis, we investigate a phenotype induced by various small molecule inhibitors in which the clock is slowed. We observe elevated levels and a prolonged half-life of NICD. Reducing NICD production rescues these effects. These data provide the first indication that tight control of the turnover of positive as well as negative regulators of the clock determines its periodicity.


eLife ◽  
2013 ◽  
Vol 2 ◽  
Author(s):  
Sabrina E Sanchez ◽  
Marcelo J Yanovsky

The circadian clock of Arabidopsis, a popular model organism for plants, is more complex than expected, with negative feedback loops based on the repression of gene expression having a less exclusive role than previously thought.


2006 ◽  
Vol 173 (5) ◽  
pp. 659-664 ◽  
Author(s):  
Jeffrey D. Kearns ◽  
Soumen Basak ◽  
Shannon L. Werner ◽  
Christine S. Huang ◽  
Alexander Hoffmann

NF-κB signaling is known to be critically regulated by the NF-κB–inducible inhibitor protein IκBα. The resulting negative feedback has been shown to produce a propensity for oscillations in NF-κB activity. We report integrated experimental and computational studies that demonstrate that another IκB isoform, IκBε, also provides negative feedback on NF-κB activity, but with distinct functional consequences. Upon stimulation, NF-κB–induced transcription of IκBε is delayed, relative to that of IκBα, rendering the two negative feedback loops to be in antiphase. As a result, IκBε has a role in dampening IκBα-mediated oscillations during long-lasting NF-κB activity. Furthermore, we demonstrate the requirement of both of these distinct negative feedback regulators for the termination of NF-κB activity and NF-κB–mediated gene expression in response to transient stimulation. Our findings extend the capabilities of a computational model of IκB–NF-κB signaling and reveal a novel regulatory module of two antiphase negative feedback loops that allows for the fine-tuning of the dynamics of a mammalian signaling pathway.


2020 ◽  
Vol 21 (S11) ◽  
Author(s):  
Vitaly A. Likhoshvai ◽  
Vladimir P. Golubyatnikov ◽  
Tamara M. Khlebodarova

Abstract Background The regulatory feedback loops that present in structural and functional organization of molecular-genetic systems and the phenomenon of the regulatory signal delay, a time period between the moment of signal reception and its implementation, provide natural conditions for complicated dynamic regimes in these systems. The delay phenomenon at the intracellular level is a consequence of the matrix principle of data transmission, implemented through the rather complex processes of transcription and translation.However, the rules of the influence of system structure on system dynamics are not clearly understood. Knowledge of these rules is particularly important for construction of synthetic gene networks with predetermined properties. Results We study dynamical properties of models of simplest circular gene networks regulated by negative feedback mechanisms. We have shown existence and stability of oscillating trajectories (cycles) in these models. Two algorithms of construction and localization of these cycles have been proposed. For one of these models, we have solved an inverse problem of parameters identification. Conclusions The modeling results demonstrate that non-stationary dynamics in the models of circular gene networks with negative feedback loops is achieved by a high degree of non-linearity of the mechanism of the autorepressor influence on its own expression, by the presence of regulatory signal delay, the value of which must exceed a certain critical value, and transcription/translation should be initiated from a sufficiently strong promoter/Shine-Dalgarno site. We believe that the identified patterns are key elements of the oscillating construction design.


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