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Acknowledgements
We are grateful to Dr. Takashi Shinohara and Dr. Mito Kanatsu-Shinohara for their
valuable discussions and the editor and reviewers for the informative suggestions related
to experimental data, which significantly improved our manuscript. We also thank for
the research opportunity provided by the Mathematics-based Creation of Science
(MACS) Program in Faculty of Science, Kyoto University (A.N. and H.N.). This study
was supported in part by the Moonshot R&D–MILLENNIA Program [grant number
JPMJMS2024-9] by JST, Grant-in-Aid for Transformative Research Areas (B) [grant
number 21H05170], and Cooperative Study Program of Exploratory Research Center on
Life and Living Systems (ExCELLS) [program number 19-102 to H.N.]. It was also
supported by JSPS KAKENHI [grant number JP21J23680 to K.Y.] and Grant-in-Aid for
Scientific Research (B) [grant number 21H03541 to H.N.], both from the Japan Society
for the Promotion of Science (JSPS).
Author contributions
H.N. conceived the project. A.N., K.Y., and H.N. developed the method, A.N. implemented the model simulation and mathematical analysis, and A.N., K.Y., and H.N. wrote
the manuscript.
Competing interests
The authors declare no competing interests.
Additional information
Supplementary information The online version contains supplementary material
available at https://doi.org/10.1038/s42003-022-04218-7.
Correspondence and requests for materials should be addressed to Honda Naoki.
Peer review information Communications Biology thanks Ingmar Glauche and the
other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Primary Handling Editor: Manuel Breuer. Peer reviewer reports are available.
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