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Analysis of finite-time regulation property of biomolecular PI controller

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Abstract

In practical applications of dynamic DNA nanotechnology, a biomolecular controller is required for maintaining the operation of the molecular actuator at a desired condition based on the information from molecular sensors. By making use of the DNA strand displacement mechanism as a “programming language” in the controller design, a biomolecular PI controller has been proposed. However, this PI control system has been verified only at the simulation level, and a theoretical regulation analysis is still required. Accordingly, in this study, we perform a rigorous regulation analysis of the biomolecular PI control system. Specifically, we theoretically prove that the output signal approaches the target level at a quasi-steady state. To this end, we apply the concept of finite-time regulation property to the biomolecular PI control system.

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References

  1. Y. Sato, Y. Hiratsuka, I. Kawamata, et al. Micrometer-sized molecular robot changes its shape in response to signal molecules. Science Robotics, 2017, 2(4): 1–10.

    Article  Google Scholar 

  2. S. Murata, A. Konagaya, S. Kobayashi, et al. Molecular robotics: A new paradigm for artifacts. New Generation Computing, 2013, 31(1): 27–45.

    Article  Google Scholar 

  3. T. Nakakuki, J. Imura. Molecular governor: DNA feedback regulator for molecular robotics. SICE Journal of Control, Measurement, and System Integration, 2016, 9(2): 60–69.

    Article  Google Scholar 

  4. D. Soloveichik, G. Seelig, E. Winfree. DNA as a universal substrate for chemical kinetics. Proceedings of the National Academy of Sciences of the United States of America, 2010, 107(12): 5393–5398.

    Article  Google Scholar 

  5. K. Oishi, E. Klavins. A biomolecular implementation of linear I/O systems. IET Systems Biology, 2011, 5(4): 252–260.

    Article  Google Scholar 

  6. B. Yordanov, J. Kim, R. L. Petersen, et al. Computational design of nucleic acid feedback control circuits. ACS Synthetic Biology, 2014, 3(8): 600–616.

    Article  Google Scholar 

  7. N. M. G. Paulino, M. Foo, J. Kim, et al. PID and state feedback controllers using DNA strand displacement reactions. IEEE Control Systems Letters, 2019, 3(4): 805–810.

    Article  Google Scholar 

  8. R. Sawlekar, F. Montefusco, V. V. Kulkarni, et al. Implementing nonlinear feedback controllers using DNA strand displacement reactions. IEEE Transactions on Nanobioscience, 2016, 15(5): 443–454.

    Article  Google Scholar 

  9. T. Nakakuki, J. Imura. Finite-time regulation property of DNA feedback regulator. Automatica, 2020, 114: 1–10.

    Article  MathSciNet  Google Scholar 

  10. M. R. Lakin, S. Youssef, F. Polo, et al. Visual DSD: A design and analysis tool for DNA strand displacement systems. Bioinformatics, 2011, 27(22): 3211–3213.

    Article  Google Scholar 

  11. Microsoft Corporation. Visual DSD: https://www.microsoft.com/en-us/research/publication/visual-DSD-a-design-and-analysis-tool-for-dna-strand-displacement-systems/.

  12. S. Kobayashi, K. Yanagibashi, K. Fujimoto, et al. Analog DNA computing devices toward the control of molecular robots. Proceedings of the IEEE 33rd International Symposium on Reliable Distributed Systems: Workshops, Nara: IEEE Computer Society, 2014: DOI https://doi.org/10.1109/SRDSW.2014.7468414.

    Book  Google Scholar 

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Authors and Affiliations

  1. Major of Interdisciplinary Informatics, Kyushu Institute of Technology, Fukuoka, 820-8502, Japan

    Peng Rong

  2. Department of Intelligent and Control Systems, Kyushu Institute of Technology, Fukuoka, 820-8502, Japan

    Takashi Nakakuki

Authors
  1. Peng Rong
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  2. Takashi Nakakuki
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Corresponding author

Correspondence to Takashi Nakakuki.

Additional information

This work was supported by JSPS KAKENHI (No. 17K06500).

Peng RONG received his M.Sc. degree from Kyushu Institute of Technology, Japan, in 2020.

Takashi NAKAKUKI received his B.E. and M.Sc. degrees from Sophia University, Japan, in 1997 and 1999, respectively. From April 1999 to March 2003, he worked at Sony Corporation. He obtained his Ph.D. degree in Mechanical Engineering from Sophia University, Tokyo, Japan, in 2006. He was subsequently employed at RIKEN from April 2006 to March 2009, and at the Department of Mechanical Systems Engineering, Kogakuin University, from April 2009 to March 2013. In April 2013, he joined Kyushu Institute of Technology, where he is currently a Professor in the Department of Intelligent and Control Systems. His research interests are biomolecular systems, complex systems, multi-agent system, nonlinear systems, linear systems, and robust control.

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Rong, P., Nakakuki, T. Analysis of finite-time regulation property of biomolecular PI controller. Control Theory Technol. 18, 135–142 (2020). https://doi.org/10.1007/s11768-020-0017-2

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  • DOI: https://doi.org/10.1007/s11768-020-0017-2

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