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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.

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Related in: MedlinePlus

Frequency multiplication for a discrete square wave input.Time series for the repressors R1–R4 and the input are shown in the top and bottom panels respectively. The concentrations of R1, R2, R3 and R4 are represented by pink, black, orange and green lines respectively. The stages corresponding to figure 2 are shown in the top panel. Initial conditions:  nM,  nM. Parameters from table 1 are used.
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pone-0016140-g003: Frequency multiplication for a discrete square wave input.Time series for the repressors R1–R4 and the input are shown in the top and bottom panels respectively. The concentrations of R1, R2, R3 and R4 are represented by pink, black, orange and green lines respectively. The stages corresponding to figure 2 are shown in the top panel. Initial conditions: nM, nM. Parameters from table 1 are used.

Mentions: We first confirmed the discrete switching behaviour described in figure 2. Numerical simulations in figure 3 show the network performing frequency multiplication of one half on a square wave input, i.e. the period of the oscillations in R1 to R4 is twice that of the input.


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

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

Frequency multiplication for a discrete square wave input.Time series for the repressors R1–R4 and the input are shown in the top and bottom panels respectively. The concentrations of R1, R2, R3 and R4 are represented by pink, black, orange and green lines respectively. The stages corresponding to figure 2 are shown in the top panel. Initial conditions:  nM,  nM. Parameters from table 1 are used.
© Copyright Policy
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC3040778&req=5

pone-0016140-g003: Frequency multiplication for a discrete square wave input.Time series for the repressors R1–R4 and the input are shown in the top and bottom panels respectively. The concentrations of R1, R2, R3 and R4 are represented by pink, black, orange and green lines respectively. The stages corresponding to figure 2 are shown in the top panel. Initial conditions: nM, nM. Parameters from table 1 are used.
Mentions: We first confirmed the discrete switching behaviour described in figure 2. Numerical simulations in figure 3 show the network performing frequency multiplication of one half on a square wave input, i.e. the period of the oscillations in R1 to R4 is twice that of the input.

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
Related in: MedlinePlus