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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
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 | ||||||||
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| 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: |
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| 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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