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Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli
Mogens H Jensen1, Sandeep Krishna
1Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark. mhjensen@nbi.dk
FEBS Letters
|June 8, 2012
Summary
External stimuli can synchronize nuclear factor-kappa B (NF-kB) oscillations in eukaryotic cells. Mathematical modeling predicts synchronization patterns and potential chaotic dynamics under specific stimulus conditions.
Area of Science:
- Cellular biology
- Biophysics
- Mathematical modeling
Background:
- Nuclear factor-kappa B (NF-kB) translocation oscillates during inflammatory responses.
- Cytokine stimulation typically triggers these NF-kB oscillations in laboratory settings.
Purpose of the Study:
- To investigate the effect of oscillatory external stimuli on NF-kB oscillations.
- To model and predict synchronization phenomena and potential chaotic dynamics in the NF-kB system.
Main Methods:
- Utilized a mathematical model to simulate NF-kB dynamics.
- Analyzed the synchronization of NF-kB oscillations with an external oscillatory stimulus.
- Predicted response diagrams, including Arnold tongues, and chaotic regimes.
Main Results:
- Oscillatory external stimuli can synchronize NF-kB oscillations to rational frequency ratios.
- The TNF-driven NF-kB system exhibits Arnold tongues, indicating synchronization bands.
- Chaotic NF-kB dynamics may occur above a stimulus amplitude threshold, independent of stimulus shape or signal transduction non-linearities.
Conclusions:
- External oscillatory stimuli can impose order on NF-kB dynamics.
- Synchronization phenomena and chaotic behavior are predictable features of the NF-kB system.
- Understanding these dynamics is crucial for comprehending cellular inflammatory responses.
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