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@article{Strelkowa:2011:10.1063/1.3574387,
author = {Strelkowa, N and Barahona, M},
doi = {10.1063/1.3574387},
journal = {CHAOS},
title = {Transient dynamics around unstable periodic orbits in the generalized repressilator model},
url = {http://dx.doi.org/10.1063/1.3574387},
volume = {21},
year = {2011}
}
TY - JOUR
AB - We study the temporal dynamics of the generalized repressilator, a network of coupled repressing genes arranged in a directed ring topology, and give analytical conditions for the emergence of a finite sequence of unstable periodic orbits that lead to reachable long-lived oscillating transients. Such transients dominate the finite time horizon dynamics that is relevant in confined, noisy environments such as bacterial cells (see our previous work [Strelkowa and Barahona, J. R. Soc. Interface 7, 1071 (2010)]), and are therefore of interest for bioengineering and synthetic biology. We show that the family of unstable orbits possesses spatial symmetries and can also be understood in terms of traveling wave solutions of kink-like topological defects. The long-lived oscillatory transients correspond to the propagation of quasistable two-kink configurations that unravel over a long time. We also assess the similarities between the generalized repressilator model and other unidirectionally coupled electronic systems, such as magnetic flux gates, which have been implemented experimentally. (C) 2011 American Institute of Physics. [doi:10.1063/1.3574387]
AU - Strelkowa,N
AU - Barahona,M
DO - 10.1063/1.3574387
PY - 2011///
SN - 1054-1500
TI - Transient dynamics around unstable periodic orbits in the generalized repressilator model
T2 - CHAOS
UR - http://dx.doi.org/10.1063/1.3574387
UR - http://hdl.handle.net/10044/1/10364
VL - 21
ER -