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A multi-functional synthetic gene network: a frequency multiplier, oscillator and switch.

Purcell O, di Bernardo M, Grierson CS, Savery NJ - PLoS ONE (2011)

Bottom Line: Analysis of the bifurcation structure also reveals novel, programmable multi-functionality; in addition to functioning as a frequency multiplier, the network is able to function as a switch or an oscillator, depending on the temporal nature of the input.Multi-functionality is often observed in neuronal networks, where it is suggested to allow for the efficient coordination of different responses.This network represents a significant theoretical addition that extends the capabilities of synthetic gene networks.

View Article: PubMed Central - PubMed

Affiliation: Department of Engineering Mathematics, Bristol Centre for Complexity Sciences, University of Bristol, Bristol, United Kingdom. enoep@bristol.ac.uk

ABSTRACT
We present the design and analysis of a synthetic gene network that performs frequency multiplication. It takes oscillatory transcription factor concentrations, such as those produced from the currently available genetic oscillators, as an input, and produces oscillations with half the input frequency as an output. Analysis of the bifurcation structure also reveals novel, programmable multi-functionality; in addition to functioning as a frequency multiplier, the network is able to function as a switch or an oscillator, depending on the temporal nature of the input. Multi-functionality is often observed in neuronal networks, where it is suggested to allow for the efficient coordination of different responses. This network represents a significant theoretical addition that extends the capabilities of synthetic gene networks.

Show MeSH
Effect of input concentration on oscillation characteristics.  [, 7]. A. Relationship between input concentration and period (seconds). B. Relationship between input concentration and the L2-norm (in this case the norm of a vector representing the amplitude of R1 to R4).
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pone-0016140-g006: Effect of input concentration on oscillation characteristics. [, 7]. A. Relationship between input concentration and period (seconds). B. Relationship between input concentration and the L2-norm (in this case the norm of a vector representing the amplitude of R1 to R4).

Mentions: If the input concentration is held constant, such that the system is in the region of the bifurcation structure between the saddle-node bifurcation and the Hopf bifurcation, a stable limit cycle exists and the dynamics are oscillatory. Figures 6A and 6B show how the oscillation period and amplitude change over the nM range where oscillations are observed. The most notable feature is the near-vertical increase in oscillation period as the input approaches the concentration at which the saddle-node bifurcations occur. This suggests that an infinite-period bifurcation takes place [20].


A multi-functional synthetic gene network: a frequency multiplier, oscillator and switch.

Purcell O, di Bernardo M, Grierson CS, Savery NJ - PLoS ONE (2011)

Effect of input concentration on oscillation characteristics.  [, 7]. A. Relationship between input concentration and period (seconds). B. Relationship between input concentration and the L2-norm (in this case the norm of a vector representing the amplitude of R1 to R4).
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Related In: Results  -  Collection

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getmorefigures.php?uid=PMC3040778&req=5

pone-0016140-g006: Effect of input concentration on oscillation characteristics. [, 7]. A. Relationship between input concentration and period (seconds). B. Relationship between input concentration and the L2-norm (in this case the norm of a vector representing the amplitude of R1 to R4).
Mentions: If the input concentration is held constant, such that the system is in the region of the bifurcation structure between the saddle-node bifurcation and the Hopf bifurcation, a stable limit cycle exists and the dynamics are oscillatory. Figures 6A and 6B show how the oscillation period and amplitude change over the nM range where oscillations are observed. The most notable feature is the near-vertical increase in oscillation period as the input approaches the concentration at which the saddle-node bifurcations occur. This suggests that an infinite-period bifurcation takes place [20].

Bottom Line: Analysis of the bifurcation structure also reveals novel, programmable multi-functionality; in addition to functioning as a frequency multiplier, the network is able to function as a switch or an oscillator, depending on the temporal nature of the input.Multi-functionality is often observed in neuronal networks, where it is suggested to allow for the efficient coordination of different responses.This network represents a significant theoretical addition that extends the capabilities of synthetic gene networks.

View Article: PubMed Central - PubMed

Affiliation: Department of Engineering Mathematics, Bristol Centre for Complexity Sciences, University of Bristol, Bristol, United Kingdom. enoep@bristol.ac.uk

ABSTRACT
We present the design and analysis of a synthetic gene network that performs frequency multiplication. It takes oscillatory transcription factor concentrations, such as those produced from the currently available genetic oscillators, as an input, and produces oscillations with half the input frequency as an output. Analysis of the bifurcation structure also reveals novel, programmable multi-functionality; in addition to functioning as a frequency multiplier, the network is able to function as a switch or an oscillator, depending on the temporal nature of the input. Multi-functionality is often observed in neuronal networks, where it is suggested to allow for the efficient coordination of different responses. This network represents a significant theoretical addition that extends the capabilities of synthetic gene networks.

Show MeSH