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アイテム
Analytical Study of Robustness of a Negative Feedback Oscillator by Multiparameter Sensitivity
http://hdl.handle.net/10228/5570
http://hdl.handle.net/10228/5570053ab4a6-e405-4d6a-9069-3d28bafa3e92
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BMC8S5_S1.pdf (1.6 MB)
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| アイテムタイプ | 学術雑誌論文 = Journal Article(1) | |||||||||||||||||||||
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| 公開日 | 2016-02-03 | |||||||||||||||||||||
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| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||||||||
| 資源タイプ | journal article | |||||||||||||||||||||
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| タイトル | Analytical Study of Robustness of a Negative Feedback Oscillator by Multiparameter Sensitivity | |||||||||||||||||||||
| 言語 | en | |||||||||||||||||||||
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| 言語 | eng | |||||||||||||||||||||
| 著者 |
前田, 和勲
× 前田, 和勲
WEKO
16743
× 倉田, 博之
WEKO
2130
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| 内容記述タイプ | Abstract | |||||||||||||||||||||
| 内容記述 | BACKGROUND:One of the distinctive features of biological oscillators such as circadian clocks and cell cycles is robustness which is the ability to resume reliable operation in the face of different types of perturbations. In the previous study, we proposed multiparameter sensitivity (MPS) as an intelligible measure for robustness to fluctuations in kinetic parameters. Analytical solutions directly connect the mechanisms and kinetic parameters to dynamic properties such as period, amplitude and their associated MPSs. Although negative feedback loops are known as common structures to biological oscillators, the analytical solutions have not been presented for a general model of negative feedback oscillators.RESULTS:We present the analytical expressions for the period, amplitude and their associated MPSs for a general model of negative feedback oscillators. The analytical solutions are validated by comparing them with numerical solutions. The analytical solutions explicitly show how the dynamic properties depend on the kinetic parameters. The ratio of a threshold to the amplitude has a strong impact on the period MPS. As the ratio approaches to one, the MPS increases, indicating that the period becomes more sensitive to changes in kinetic parameters. We present the first mathematical proof that the distributed time-delay mechanism contributes to making the oscillation period robust to parameter fluctuations. The MPS decreases with an increase in the feedback loop length (i.e., the number of molecular species constituting the feedback loop).CONCLUSIONS:Since a general model of negative feedback oscillators was employed, the results shown in this paper are expected to be true for many of biological oscillators. This study strongly supports that the hypothesis that phosphorylations of clock proteins contribute to the robustness of circadian rhythms. The analytical solutions give synthetic biologists some clues to design gene oscillators with robust and desired period. | |||||||||||||||||||||
| 書誌情報 |
en : BMC Systems Biology 巻 8, 号 Suppl 5, p. S1-S12, 発行日 2014-12-12 |
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| 出版者 | Biomed Central | |||||||||||||||||||||
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| 関連タイプ | isIdenticalTo | |||||||||||||||||||||
| 識別子タイプ | DOI | |||||||||||||||||||||
| 関連識別子 | https://doi.org/10.1186/1752-0509-8-S5-S1 | |||||||||||||||||||||
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| 権利情報Resource | http://creativecommons.org/publicdomain/zero/1.0/ | |||||||||||||||||||||
| 権利情報 | Copyright (c) 2014 Maeda et al.; licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated. | |||||||||||||||||||||
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| 出版タイプ | VoR | |||||||||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||||||||
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| 値 | yes | |||||||||||||||||||||
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| URL | https://hyokadb02.jimu.kyutech.ac.jp/html/265_ja.html | |||||||||||||||||||||
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| 値 | 5316 | |||||||||||||||||||||
