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Theoretical and experimental analysis of the forced LacI-AraC oscillator with a minimal gene regulatory model

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Rodrigo, Guillermo, Kirov, Boris, Shen, Shensi and Jaramillo, Alfonso (2013) Theoretical and experimental analysis of the forced LacI-AraC oscillator with a minimal gene regulatory model. Chaos: An Interdisciplinary Journal of Nonlinear Science, 23 (2). pp. 1-9. 025109. doi:10.1063/1.4809786

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Official URL: http://dx.doi.org/10.1063/1.4809786

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Abstract

Oscillatory dynamics have been observed in multiple cellular functions and synthetic constructs; and here, we study the behavior of a synthetic oscillator under temporal perturbations. We use a minimal model, involving a single transcription factor with delayed self-repression and enzymatic degradation, together with a first-order perturbative approach, to derive an analytical expression for the power spectrum of the system, which characterizes its response to external forces and molecular noise. Experimentally, we force and monitor the dynamics of the LacI-AraC oscillator in single cells during long time intervals by constructing a microfluidics device. Pulse dynamics of IPTG with different periods serve to perturb this system. Due to the resonance of the system, we predict theoretically and confirm experimentally the dependence on the forcing frequency of the variability in gene expression with time and the synchronization of the population to the input signal. The reported results show that the engineering of gene circuits can provide test cases for dynamical models, which could be further exploited in synthetic biology.

Item Type: Journal Article
Subjects: Q Science > QH Natural history
Divisions: Faculty of Science > Life Sciences (2010- )
Library of Congress Subject Headings (LCSH): Genetic regulation
Journal or Publication Title: Chaos: An Interdisciplinary Journal of Nonlinear Science
Publisher: American Institute of Physics
ISSN: 1054-1500
Official Date: 12 June 2013
Dates:
DateEvent
12 June 2013Published
24 May 2013Accepted
24 January 2013Submitted
Volume: 23
Number: 2
Number of Pages: 9
Page Range: pp. 1-9
Article Number: 025109
DOI: 10.1063/1.4809786
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Seventh Framework Programme (European Commission) (FP7), Université Paris-Sud, Fondation pour la recherche médicale, European Molecular Biology Organization‏ (EMBO)
Grant number: FP7-ICT-043338 (FP7)

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