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

Biokompleksitet

24 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	FEBS Letters
Vol/bind	586
Udgave nummer	11
Sider (fra-til)	1664-1668
ISSN	0014-5793
DOI	https://doi.org/10.1016/j.febslet.2012.04.044
Status	Udgivet - 4 jun. 2012

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10.1016/j.febslet.2012.04.044

Citationsformater

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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.",

author = "Jensen, {Mogens H{\o}gh} and Sandeep Krishna",

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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

SN - 0014-5793

VL - 586

SP - 1664

EP - 1668

JO - FEBS Letters

JF - FEBS Letters

IS - 11

ER -

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

Abstract

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