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Acknowledgements
This study was supported by MEXT/JSPS KAKENHI Grants (JP20K22629 to M. Shimizu; JP19K16088 to K.
M.; JP17K07361, JP19KK0071, and JP20K06579 to R. I.; JP17K07816 to N. S.; JP18H05229, JP18H05534, and
JP18H03681 to M. Sugiyama). and the Sasakawa Scientific Research Grant from The Japan Science Society
assigned to A. O. The study was also partially supported by a project for the construction of the basis for advanced
materials science and analytical study by the innovative use of quantum beams and nuclear sciences at the
Institute for Integrated Radiation and Nuclear Science, Kyoto University (KURNS) and a Grant for research
promotion in KURNS to A. O., M. Shimizu, and K. M. SAXS measurements using the SAXS at KURNS were
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performed under proposal No. R2121 to N. S. We thank Prof. Shoji Takada at Kyoto University for providing
the computational resources.
Author contributions
A.O. and R.U. assembled and performed the sample preparation. A.O., K.M., R.I., and N.S. performed SAXS
measurements and analysed the SAXS profiles. A.O. and K.M. performed the AUC measurements and analysed the profiles. A.O. performed MALDI-TOF MS and LC-ESI-TOF MS and analysed the data. M. Shimizu
performed CG-MD simulations and analysed the simulation data. R.U. and M.S. designed the research, and all
authors wrote the paper.
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/s41598-021-85219-0.
Correspondence and requests for materials should be addressed to R.U. or M.S.
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