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Toggling Between Two Limit Cycles in a Molecular Ecosystem

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Abstract

In this article, we introduce an oscillatory molecular system with two independent limit cycles, dependent on initial conditions. The system is composed of two crossed Predator-Prey oscillators, in which the prey on one side is consumed by its predator to produce the predator of the other species. After providing a mathematical model for the system, we numerically analyze its behavior over a large range of enzymatic concentration conditions. Finally, we provide a surrogate model to evaluate the bistability region of the system to efficiently find optimal conditions.

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Acknowledgements

This work is dedicated to Professor Hagiya for his 26th birthday, for his pioneering and unrelenting action in promoting molecular programming in Japan and abroad, and for his unmatched willingness to foster interactions between experimental and computational fields.

Funding

This work was supported by JSPS KAKENHI Grants Number JP19KK0261, JP20257295, and JP21H04434.

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Author notes

  1. Adrien Fauste-Gay and Nicolas Lobato-Dauzier contributed equally to this work.

Authors and Affiliations

  1. LIMMS/CNRS-IIS(UMI2820), The University of Tokyo, Tokyo, Japan

    Adrien Fauste-Gay, Nicolas Lobato-Dauzier, Alexandre Baccouche, Soo Hyeon Kim, Teruo Fujii & Anthony J. Genot

  2. Department of Information Sciences, Ochanomizu University, Tokyo, Japan

    Nathanael Aubert-Kato

  3. Laboratoire Gulliver, UMR 7083, CNRS, ESPCI Paris, PSL Research University, Paris, France

    Yannick Rondelez

  4. Department of Physics, Ecole Normale Supérieure, Paris, France

    Adrien Fauste-Gay

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  1. Adrien Fauste-Gay
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  2. Nicolas Lobato-Dauzier
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Correspondence to Nicolas Lobato-Dauzier, Nathanael Aubert-Kato or Anthony J. Genot.

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Fauste-Gay, A., Lobato-Dauzier, N., Baccouche, A. et al. Toggling Between Two Limit Cycles in a Molecular Ecosystem. New Gener. Comput. 40, 703–721 (2022). https://doi.org/10.1007/s00354-022-00178-y

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