Oscillatory gene expression and somitogenesis

2012 ◽  
Vol 1 (5) ◽  
pp. 629-641 ◽  
Author(s):  
Ryoichiro Kageyama ◽  
Yasutaka Niwa ◽  
Akihiro Isomura ◽  
Aitor González ◽  
Yukiko Harima
2004 ◽  
Vol 121 (12) ◽  
pp. 1443-1453 ◽  
Author(s):  
Aki Ishikawa ◽  
Satoshi Kitajima ◽  
Yu Takahashi ◽  
Hiroki Kokubo ◽  
Jun Kanno ◽  
...  

2014 ◽  
Vol 53 (3) ◽  
pp. 380-392 ◽  
Author(s):  
Gert-Jan Hendriks ◽  
Dimos Gaidatzis ◽  
Florian Aeschimann ◽  
Helge Großhans

2017 ◽  
Author(s):  
Athanasios C. Antoulas ◽  
Bokai Zhu ◽  
Qiang Zhang ◽  
Brian York ◽  
Bert W. O'Malley ◽  
...  

Circadian rhythmicity, the 24-hour cycle responsive to light and dark, is determined by periodic oscillations in gene transcription. This phenomenon has broad ramifications in physiologic function. Recent work has disclosed more cycles in gene transcription, and to the uncovering of these we apply a novel signal processing methodology known as the pencil method and compare it to conventional parametric, nonparametric, and statistical methods. Methods: In order to assess periodicity of gene expression over time, we analyzed a database derived from livers of mice entrained to a 12-hour light/12-hour dark cycle. We also analyzed artificially generated signals to identify differences between the pencil decomposition and other alternative methods. Results: The pencil decomposition revealed hitherto-unsuspected oscillations in gene transcription with 12-hour periodicity. The pencil method was robust in detecting the 24-hour circadian cycle that was known to exist, as well as confirming the existence of shorter-period oscillations. A key consequence of this approach is that orthogonality of the different oscillatory components can be demonstrated. thus indicating a biological independence of these oscillations, that has been subsequently confirmed empirically by knocking out the gene responsible for the 24-hour clock. Conclusion: System identification techniques can be applied to biological systems and can uncover important characteristics that may elude visual inspection of the data. Significance: The pencil method provides new insights on the essence of gene expression and discloses a wide variety of oscillations in addition to the well-studied circadian pattern. This insight opens the door to the study of novel mechanisms by which oscillatory gene expression signals exert their regulatory effect on cells to influence human diseases.


Author(s):  
Junjie Wei ◽  
Chunbo Yu

The dynamics of a gene expression model with time delay are investigated. The investigation confirms that a Hopf bifurcation occurs due to the existence of stability switches when the delay varies. An explicit algorithm for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions has been derived by using the theory of the centre manifold and the normal forms method. The global existence of periodic solutions has been established using a global Hopf bifurcation result by Wu and a Bendixson criterion for higher-dimensional ordinary differential equations due to Li and Muldowney.


Sign in / Sign up

Export Citation Format

Share Document