Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli

Mogens Høgh Jensen; Sandeep Krishna

doi:10.1016/j.febslet.2012.04.044

Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli

Mogens Høgh Jensen, Sandeep Krishna

Biocomplexity

24 Citations (Scopus)

Abstract

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.

Original language	English
Journal	FEBS Letters
Volume	586
Issue number	11
Pages (from-to)	1664-1668
ISSN	0014-5793
DOIs	https://doi.org/10.1016/j.febslet.2012.04.044
Publication status	Published - 4 Jun 2012

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10.1016/j.febslet.2012.04.044

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title = "Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli",

abstract = "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.",

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T1 - Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli

AU - Jensen, Mogens Høgh

AU - Krishna, Sandeep

PY - 2012/6/4

Y1 - 2012/6/4

N2 - 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.

AB - 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.

U2 - 10.1016/j.febslet.2012.04.044

DO - 10.1016/j.febslet.2012.04.044

M3 - Journal article

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SP - 1664

EP - 1668

JO - F E B S Letters

JF - F E B S Letters

IS - 11

ER -

Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli

Abstract

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