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Inducing phase‐locking and chaos in cellular oscillators by modulating the driving stimuli
Author(s) -
Jensen Mogens H.,
Krishna Sandeep
Publication year - 2012
Publication title -
febs letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.593
H-Index - 257
eISSN - 1873-3468
pISSN - 0014-5793
DOI - 10.1016/j.febslet.2012.04.044
Subject(s) - stimulus (psychology) , physics , amplitude , oscillation (cell signaling) , chaotic , biophysics , biology , quantum mechanics , computer science , artificial intelligence , psychology , psychotherapist , genetics
Inflammatory responses in eucaryotic cells are often associated with oscillations in the nuclear‐cytoplasmic translocation of the transcription factor NF‐kB. In most laboratory realizations, the oscillations are triggered by a cytokine stimulus. We use a mathematical model to show that an oscillatory external stimulus can synchronize the NF‐kB oscillations into states where the ratios of the internal to external frequency are close to rational numbers. We predict a response diagram of the TNF‐driven NF‐kB system which exhibits bands of synchronization known as “Arnold tongues”. We suggest that when the amplitude of the external stimulus exceeds a certain threshold, chaotic dynamics of the nuclear NF‐kB concentration may occur. This behavior seems independent of the shape of the external oscillation and the non‐linearities transducing this signal.