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. 2017 Jan;14(126):20160833. doi: 10.1098/rsif.2016.0833

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© 2017 The Authors.

Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

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Figure 5. — Analysis of single-cell temporal transcription of a gene in response to an upstream oscillatory cAMP signal, motivated by recent experiments [29]. Individual single-cell time courses ν(t) of mRNA counts are highly variable with no clear entrainment to the driving signal, whereas the time-dependent ensemble average oscillates with the same frequency as the external drive. This is consistent with equations (4.5)–(4.6), which also show that the total phase lag is the resultant of the signal transduction and transcription lags. For a signal with period T = 5 min and a gene with degradation rate λ = 0.04 min⁻¹ [29], the transcription phase lag is , which corresponds to a delay of . Given a measured total mean lag of 9π/10, this implies that the signal transduction introduces a phase lag , equivalent to a delay of . (Online version in colour.)

Inline graphic — Analysis of single-cell temporal transcription of a gene in response to an upstream oscillatory cAMP signal, motivated by recent experiments [29]. Individual single-cell time courses ν(t) of mRNA counts are highly variable with no clear entrainment to the driving signal, whereas the time-dependent ensemble average oscillates with the same frequency as the external drive. This is consistent with equations (4.5)–(4.6), which also show that the total phase lag is the resultant of the signal transduction and transcription lags. For a signal with period T = 5 min and a gene with degradation rate λ = 0.04 min⁻¹ [29], the transcription phase lag is , which corresponds to a delay of . Given a measured total mean lag of 9π/10, this implies that the signal transduction introduces a phase lag , equivalent to a delay of . (Online version in colour.)