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dc.contributor.authorSuzuki, Yoko
Lu, Mingyang
Ben-Jacob, Eshel
Onuchic, José N.
dc.date.accessioned 2016-04-04T20:15:21Z
dc.date.available 2016-04-04T20:15:21Z
dc.date.issued 2016
dc.identifier.citation Suzuki, Yoko, Lu, Mingyang, Ben-Jacob, Eshel, et al.. "Periodic, Quasi-periodic and Chaotic Dynamics in Simple Gene Elements with Time Delays." Scientific Reports, 6, (2016) Macmillan Publishers Limited: http://dx.doi.org/10.1038/srep21037.
dc.identifier.urihttps://hdl.handle.net/1911/88838
dc.description.abstract Regulatory gene circuit motifs play crucial roles in performing and maintaining vital cellular functions. Frequently, theoretical studies of gene circuits focus on steady-state behaviors and do not include time delays. In this study, the inclusion of time delays is shown to entirely change the time-dependent dynamics for even the simplest possible circuits with one and two gene elements with self and cross regulations. These elements can give rise to rich behaviors including periodic, quasi-periodic, weak chaotic, strong chaotic and intermittent dynamics. We introduce a special power-spectrum-based method to characterize and discriminate these dynamical modes quantitatively. Our simulation results suggest that, while a single negative feedback loop of either one- or two-gene element can only have periodic dynamics, the elements with two positive/negative feedback loops are the minimalist elements to have chaotic dynamics. These elements typically have one negative feedback loop that generates oscillations, and another unit that allows frequent switches among multiple steady states or between oscillatory and non-oscillatory dynamics. Possible dynamical features of several simple one- and two-gene elements are presented in details. Discussion is presented for possible roles of the chaotic behavior in the robustness of cellular functions and diseases, for example, in the context of cancer.
dc.language.iso eng
dc.publisher Macmillan Publishers Limited
dc.rights This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material.
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.title Periodic, Quasi-periodic and Chaotic Dynamics in Simple Gene Elements with Time Delays
dc.type Journal article
dc.contributor.funder National Science Foundation
dc.contributor.funder Cancer Prevention and Research Institute of Texas
dc.contributor.funder Tauber Family Funds
dc.contributor.funder Magut-Glass Chair in Physics of Complex Systems at Tel-Aviv University
dc.citation.journalTitle Scientific Reports
dc.contributor.org Center for Theoretical Biological Physics
dc.citation.volumeNumber 6
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1038/srep21037
dc.identifier.grantID PHY-1427654 (National Science Foundation)
dc.identifier.grantID MCB-1214457 (National Science Foundation)
dc.identifier.grantID RP140113 (Cancer Prevention and Research Institute of Texas)
dc.type.publication publisher version


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This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material.
Except where otherwise noted, this item's license is described as This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material.