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Design of static and dynamic networks based on 3-dimensional topology

Planned Research

Project AreaDiscrete Geometric Analysis for Materials Design
Project/Area Number 17H06463
Research Category

Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionSaitama University

Principal Investigator

Shimokawa Koya  埼玉大学, 理工学研究科, 教授 (60312633)

Co-Investigator(Kenkyū-buntansha) 石原 海  山口大学, 教育学部, 准教授 (40634762)
伊藤 克司  東京工業大学, 理学院, 教授 (60221769)
出口 哲生  お茶の水女子大学, 基幹研究院, 教授 (70227544)
手塚 育志  東京工業大学, 物質理工学院, 教授 (80155457)
Project Period (FY) 2017-06-30 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥52,130,000 (Direct Cost: ¥40,100,000、Indirect Cost: ¥12,030,000)
Fiscal Year 2021: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2020: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2019: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2018: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2017: ¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Keywords3次元トポロジー / ブロック共重合体 / 共連続構造 / ネットワーク / 超分子 / ハンドル体分解 / 高分子材料 / トポロジー / ハンドル体分割 / 3次元多様体 / トポロジー高分子 / 結び目 / 3次元トポロジー / 3次元多様体 / ポリマー / 高分子 / 3次元ネットワーク
Outline of Final Research Achievements

In this research, we studied knot theory and three-dimensional topology, a field of geometry in mathematics, and applied the results to the design of polymers and other materials. We have obtained results on the application of graph theory and knot theory to the study of multicyclic polymers, the application of three-dimensional topology to the design of block copolymer materials, and the design of entangled supramolecular structures using knot theory. In addition, an international conference was held to promote interaction between researchers in topology and polymers and materials science.

Academic Significance and Societal Importance of the Research Achievements

本研究では、トポロジーの応用として、結び目理論を用いた多環状高分子のトポロジーの研究、相分離構造の形を数学的に解析することによるブロック共重合体材料の設計、超分子の絡み方を結び目理論を用いた分析を行った。これらの成果は、分子が作る形が、その物性・機能に繋がることを示しており、トポロジーが今後化学においても重要な道具となることを示唆している。

Report

(6 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • Research Products

    (74 results)

All 2022 2021 2020 2019 2018 2017 Other

All Int'l Joint Research (7 results) Journal Article (23 results) (of which Int'l Joint Research: 9 results,  Peer Reviewed: 22 results,  Open Access: 9 results,  Acknowledgement Compliant: 2 results) Presentation (31 results) (of which Int'l Joint Research: 28 results,  Invited: 31 results) Book (1 results) Remarks (7 results) Funded Workshop (5 results)

  • [Int'l Joint Research] California State University, Chico(米国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] University of California, Davis/University of Georgia(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Saskatchewan/University of British Colombia(カナダ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] UNAM(メキシコ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Melbourne(オーストリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of California, Davis(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] University of Saskatchewan(カナダ)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Handlebody decompositions of three-manifolds and polycontinuous patterns2022

    • Author(s)
      Sakata N.、Mishina R.、Ogawa M.、Ishihara K.、Koda Y.、Ozawa M.、Shimokawa K.
    • Journal Title

      Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

      Volume: 478 Issue: 2260 Pages: 20220073-20220073

    • DOI

      10.1098/rspa.2022.0073

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Graph Theoretical and Knot Theoretical Analyses of Multi-cyclic Polymers2022

    • Author(s)
      Ishihara Kai、Shimokawa Koya
    • Journal Title

      Topological Polymer Chemistry

      Volume: - Pages: 9-21

    • DOI

      10.1007/978-981-16-6807-4_2

    • ISBN
      9789811668067, 9789811668074
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Alternating knots with large boundary slope diameter2020

    • Author(s)
      Masaharu Ishikawa, Thomas W. Mattman, Kazuya Namiki and Koya Shimokawa
    • Journal Title

      Contemporary Mathematics

      Volume: 760 Pages: 207-216

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A metal-peptide capsule by multiple ring threading2019

    • Author(s)
      Sawada Tomohisa、Inomata Yuuki、Shimokawa Koya、Fujita Makoto
    • Journal Title

      Nature Communications

      Volume: 10 Issue: 1 Pages: 5687-5687

    • DOI

      10.1038/s41467-019-13594-4

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Metal-peptide rings form highly entangled topologically inequivalent frameworks with the same ring- and crossing-numbers2019

    • Author(s)
      T. Sawada, A. Saito, K. Tamiya, K. Shimokawa, Y. Hisada, M. Fujita
    • Journal Title

      Nature Communications

      Volume: 10 Issue: 1 Pages: 921-921

    • DOI

      10.1038/s41467-019-08879-7

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Neighborhood equivalence for multibranched surfaces in 3-manifolds2019

    • Author(s)
      Ishihara Kai、Koda Yuya、Ozawa Makoto、Shimokawa Koya
    • Journal Title

      Topology and its Applications

      Volume: 257 Pages: 11-21

    • DOI

      10.1016/j.topol.2019.02.005

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Bimodality in the knotting probability of semiflexible rings suggested by mapping with self-avoiding polygons2019

    • Author(s)
      Uehara Erica、Coronel Lucia、Micheletti Cristian、Deguchi Tetsuo
    • Journal Title

      Reactive and Functional Polymers

      Volume: 134 Pages: 141-149

    • DOI

      10.1016/j.reactfunctpolym.2018.11.008

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Programmed Polymer Folding with Periodically Positioned Tetrafunctional Telechelic Precursors by Cyclic Ammonium Salt Units as Nodal Points2019

    • Author(s)
      Kyoda Kohei、Yamamoto Takuya、Tezuka Yasuyuki
    • Journal Title

      Journal of the American Chemical Society

      Volume: 141 Issue: 18 Pages: 7526-7536

    • DOI

      10.1021/jacs.9b02459

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Characterising knotting properties of polymers in nanochannels2018

    • Author(s)
      N. R. Beaton, J. W. Eng, K. Ishihara, K. Shimokawa, C. E. Soteros
    • Journal Title

      Soft Matter

      Volume: 14 Issue: 28 Pages: 5775-5785

    • DOI

      10.1039/c8sm00734a

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Two-point correlation function of ring polymers: Experiments and numerical simulations for the case of circular DNA in 2 dimensions2018

    • Author(s)
      Ropelewski Sophia、Uehara Erica、Lehmann Caroline、Deguchi Tetsuo、Dietler Giovanni
    • Journal Title

      Reactive and Functional Polymers

      Volume: 133 Pages: 66-70

    • DOI

      10.1016/j.reactfunctpolym.2018.10.001

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Mean-square radius of gyration and the hydrodynamic radius for topological polymers expressed with graphs evaluated by the method of quaternions revisited2018

    • Author(s)
      Uehara Erica、Deguchi Tetsuo
    • Journal Title

      Reactive and Functional Polymers

      Volume: 133 Pages: 93-102

    • DOI

      10.1016/j.reactfunctpolym.2018.09.007

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Statistical properties of multi-theta polymer chains2018

    • Author(s)
      Uehara Erica、Deguchi Tetsuo
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 51 Issue: 13 Pages: 134001-134001

    • DOI

      10.1088/1751-8121/aaae2d

    • Related Report
      2018 Annual Research Report 2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Macrocyclic poly(p-phenylenevinylene)s by ring expansion metathesis polymerisation and their characterisation by single-molecule spectroscopy2018

    • Author(s)
      Lidster Benjamin John、Hirata Shuzo、Matsuda Shoki、Yamamoto Takuya、Komanduri Venukrishnan、Kumar Dharam Raj、Tezuka Yasuyuki、Vacha Martin、Turner Michael L.
    • Journal Title

      Chemical Science

      Volume: 9 Issue: 11 Pages: 2934-2941

    • DOI

      10.1039/c7sc03945j

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Recent advances in the construction of cyclic grafted polymers and their potential applications2018

    • Author(s)
      Zhang Shuangshuang、Tezuka Yasuyuki、Zhang Zhengbiao、Li Na、Zhang Wei、Zhu Xiulin
    • Journal Title

      Polymer Chemistry

      Volume: 9 Issue: 6 Pages: 677-686

    • DOI

      10.1039/c7py01544e

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Synthesis, Isolation, and Properties of All Head-to-Tail Cyclic Poly(3-hexylthiophene): Fully Delocalized Exciton over the Defect-Free Ring Polymer2018

    • Author(s)
      Yamamoto Takuya、Hosokawa Masaaki、Nakamura Minato、Sato Shin-ichiro、Isono Takuya、Tajima Kenji、Satoh Toshifumi、Sato Masamichi、Tezuka Yasuyuki、Saeki Akinori、Kikkawa Yoshihiro
    • Journal Title

      Macromolecules

      Volume: 51 Issue: 22 Pages: 9284-9293

    • DOI

      10.1021/acs.macromol.8b01681

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Enzyme action for topological entanglement in DNA and knot theory2018

    • Author(s)
      K. Ishihara
    • Journal Title

      Reactive and Functional Polymers

      Volume: 132 Pages: 74-80

    • DOI

      10.1016/j.reactfunctpolym.2018.09.006

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Bounds for minimum step number of knots confined to tubes in the simple cubic lattice2017

    • Author(s)
      Ishihara, Kai; Pouokam, Maxime; Suzuki, Atsumi; Scharein, Robert; Vazquez, Mariel; Arsuaga, Javier; Shimokawa, Koya
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 50 Issue: 21 Pages: 1-28

    • DOI

      10.1088/1751-8121/aa6a4f

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Pathways of DNA unlinking: A story of stepwise simplification2017

    • Author(s)
      Stolz Robert、Yoshida Masaaki、Brasher Reuben、Flanner Michelle、Ishihara Kai、Sherratt David J.、Shimokawa Koya、Vazquez Mariel
    • Journal Title

      Scientific Reports

      Volume: 7 Issue: 1 Pages: 12420-12420

    • DOI

      10.1038/s41598-017-12172-2

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A Twisting Ring Polymer: Synthesis and Thermally Induced Chiroptical Responses of a Cyclic Poly(tetrahydrofuran) Having Axially Chiral Units2017

    • Author(s)
      Honda Satoshi、Adachi Kaoru、Yamamoto Takuya、Tezuka Yasuyuki
    • Journal Title

      Macromolecules

      Volume: 50 Issue: 14 Pages: 5323-5331

    • DOI

      10.1021/acs.macromol.7b00839

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Load-Induced Frictional Transition at a Well-Defined Alkane Loop Surface2017

    • Author(s)
      A. Shundo, K. Hori, Y. Tezuka, T. Yamamoto, and K. Tanaka
    • Journal Title

      Langmuir

      Volume: 33 Issue: 9 Pages: 2396-2401

    • DOI

      10.1021/acs.langmuir.6b04042

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Topological Polymer Chemistry Designing Complex Macromolecular Graph Constructions2017

    • Author(s)
      Tezuka Yasuyuki
    • Journal Title

      Accounts of Chemical Research

      Volume: 50 Issue: 11 Pages: 2661-2672

    • DOI

      10.1021/acs.accounts.7b00338

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Knotting probability of self-avoiding polygons under a topological constraint2017

    • Author(s)
      Uehara Erica、Deguchi Tetsuo
    • Journal Title

      The Journal of Chemical Physics

      Volume: 147 Issue: 9 Pages: 094901-094901

    • DOI

      10.1063/1.4996645

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Scaling behavior of knotted random polygons and self-avoiding polygons: Topological swelling with enhanced exponent2017

    • Author(s)
      Uehara Erica、Deguchi Tetsuo
    • Journal Title

      The Journal of Chemical Physics

      Volume: 147 Issue: 21 Pages: 214901-214901

    • DOI

      10.1063/1.4999266

    • Related Report
      2017 Annual Research Report
  • [Presentation] 3-dimensional topology and poly-continuous pattern2022

    • Author(s)
      Koya Shimokawa
    • Organizer
      The Geometry & Topology Behind Fabrics at Multiple Scales
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Handlebody decompositions of 3-torus and polycontinuous patterns2022

    • Author(s)
      Koya Shimokawa
    • Organizer
      Novel Mathematical Methods in Material Science: Applications to Biomaterials (21w5232), Banff International Research Station, Canada
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 共連続構造と3 次元トポロジー2022

    • Author(s)
      下川航也
    • Organizer
      IMI研究会:材料科学おける幾何と代数II
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 3-dimensional topology and polycontinuous pattern2022

    • Author(s)
      Koya Shimokawa
    • Organizer
      International Conference on Discrete Geometric Analysis for Materials Design
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 共連続構造と3 次元トポロジー2021

    • Author(s)
      下川航也
    • Organizer
      日本物理学会 第76 回年次大会(2021 年) 共催シンポジウム『次世代物質探索のための離散幾何』
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 3-dimensional topology and poly-continuous pattern2021

    • Author(s)
      Koya Shimokawa
    • Organizer
      Osaka City University International Academic Symposium Mathematical Science of Visualization, and Deepening of Symmetry and Moduli”,
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 3-dimensional topology and poly-continuous pattern2020

    • Author(s)
      Koya Shimokawa
    • Organizer
      Special Session on Applied Knot Theory, AMS Sectional Meeting AMS Special Session, Fall Southeastern Sectional Meeting
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 3-dimensional topology and polycontinuous pattern2019

    • Author(s)
      Koya Shimokawa
    • Organizer
      International Symposium “Polymers and networks via topology and entanglement”
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 3-dimensional topology and poly-continuous pattern2019

    • Author(s)
      Koya Shimokawa
    • Organizer
      MATERIALS RESEARCH MEETING 2019, Mathematical Materials Science -Mathematical Approaches for Materials Designs in the Data Driven Society-
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Handlebody decomposition of 3-manifolds and their application2019

    • Author(s)
      Koya Shimokawa
    • Organizer
      可微分写像の特異点論とその応用
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 3-dimensional topology and polycontinuous pattern2019

    • Author(s)
      Koya Shimokawa
    • Organizer
      The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] トポロジーと高分子科学2019

    • Author(s)
      下川航也
    • Organizer
      日本数学会 2019年度年会企画特別講演
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Poly-continuous pattern, networks and 3-dimensional topology2019

    • Author(s)
      Koya Shimokawa
    • Organizer
      International Symposium "Polymers meet Topology"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Rouse Dynamics of Topological Polymers through Gaussian Random Embeddings and Comparison with Experiments2019

    • Author(s)
      Tetsuo Deguchi
    • Organizer
      The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Rouse Dynamics of Topological Polymers through Gaussian Random Graph Embeddings2019

    • Author(s)
      Tetsuo Deguchi
    • Organizer
      International Symposium "Polymers meet Topology"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Knotting probability of self-avoiding polygons under a topological constraint: A sum rule derived from the factorization property2019

    • Author(s)
      T. Deguchi and E. Uehara
    • Organizer
      ``Topology of Biopolymers’’, Special Session at the Spring Eastern Sectional Meeting of AMS
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Topological Polymer Chemistry Designing Macromolecular Graph Constructions, International2019

    • Author(s)
      Y. Tezuka
    • Organizer
      International Symposium "Polymers meet Topology"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Types of Multicyclic Graphs2019

    • Author(s)
      K. Ishihara
    • Organizer
      International Symposium "Polymers meet Topology"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] First steps of unlinking pathways2019

    • Author(s)
      K. Ishihara
    • Organizer
      The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Knots, links and spatial graphs in the simple cubic lattice2018

    • Author(s)
      Koya Shimokawa
    • Organizer
      2018 Fall AMS Sectional Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lattice knots and links in tube regions2018

    • Author(s)
      Koya Shimokawa
    • Organizer
      33rd Summer Conference on Topology and its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Topological Polymer Chemistry with Programmed ESA-CF Polymer Folding Constructions2018

    • Author(s)
      Y. Tezuka
    • Organizer
      14th Japan-Belgium Symposium on Polymer Science
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Topological Chemistry Designing Novel Macromolecular Constructions2018

    • Author(s)
      Y. Tezuka
    • Organizer
      2018 Taiwan-Japan Bilateral Polymer Symposium
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On chirality of molecular graphs2018

    • Author(s)
      Koya Shimokawa
    • Organizer
      Cyclic & Topologically Complex Polymers, Spring 2018 American Chemical Society Meeting
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 3-dimensional topology and network analysis in soft materials2018

    • Author(s)
      Koya Shimokawa
    • Organizer
      International kick-off workshop "Discrete Geometric Analysis for Materials Design"
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Statistical and hydrodynamic properties of graph-shaped polymers and quaternions2018

    • Author(s)
      T. Deguchi and E. Uehara
    • Organizer
      Cyclic & Topologically Complex Polymers, Spring 2018 American Chemical Society Meeting
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Topological Chemistry Designing Macromolecular Graph Constructions2017

    • Author(s)
      Yasuyuki Tezuka
    • Organizer
      Japan-Taiwan Bilateral Polymer Symposium (JTBPS 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Designing Cyclic and Topological Polymer Constructions by Innovative Synthetic Protocols2017

    • Author(s)
      Yasuyuki Tezuka
    • Organizer
      International Workshop “Ring Polymers”
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Statistical and Hydrodynamic Properties of Graph-Shaped Polymers and Quaternions2017

    • Author(s)
      Tetsuo Deguchi
    • Organizer
      International workshop``Knots and polymers: aspects of topological enanglement in DNA, proteins and graph-shaped polymers''
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Statistical Mechanics of Theta-shaped and Ring-shaped Polymer Chains2017

    • Author(s)
      E. Uehara and T. Deguchi
    • Organizer
      International workshop``Knots and polymers: aspects of topological enanglement in DNA, proteins and graph-shaped polymers''
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Additivity of Topological Balance Length and a Slow Growth in the Effective Scaling Exponent of Knotted Random Polygons2017

    • Author(s)
      T. Deguchi and E. Uehara
    • Organizer
      CMO-BIRS Workshop: “The Geometry and Topology of Knotting and Entanglement in Proteins
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] Topology of Polymers2019

    • Author(s)
      Shimokawa, Koya, Ishihara, Kai, Tezuka, Yasuyuki
    • Total Pages
      89
    • Publisher
      Springer, SpringerBriefs in the Mathematics of Materials
    • ISBN
      9784431568865
    • Related Report
      2019 Annual Research Report
  • [Remarks] 下川航也ホームページ

    • URL

      http://www.rimath.saitama-u.ac.jp/lab.jp/KoyaShimokawa.html

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report 2019 Annual Research Report 2018 Annual Research Report
  • [Remarks] 下川研究室

    • URL

      https://www-p.sci.ocha.ac.jp/shimokawa-lab/

    • Related Report
      2021 Annual Research Report
  • [Remarks] ペプチド鎖が精密に編み込まれたナノカプセルの合成に初成功

    • URL

      http://www.saitama-u.ac.jp/topics_archives/2019-1211-1337-18.html

    • Related Report
      2019 Annual Research Report
  • [Remarks] 国際会議ホームページ

    • URL

      http://www.rimath.saitama-u.ac.jp/lab.jp/kshimoka/polymersandnetworks2019.html

    • Related Report
      2019 Annual Research Report
  • [Remarks] 下川航也 ホームページ

    • URL

      http://www.rimath.saitama-u.ac.jp/lab.jp/KoyaShimokawa.html

    • Related Report
      2017 Annual Research Report
  • [Remarks] 国際ワークショップ Knots and Polymers

    • URL

      http://www.rimath.saitama-u.ac.jp/lab.jp/kshimoka/knotsandpolymers2017J.html

    • Related Report
      2017 Annual Research Report
  • [Remarks] 新学術領域「次世代物質探索のための離散幾何学」

    • URL

      https://www.math-materials.jp

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] The 21st International Conference on Discrete Geometric Analysis for Materials Design2022

    • Related Report
      2021 Annual Research Report
  • [Funded Workshop] 国際シンポジウム "Polymers and networks via topology and entanglement"2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] 国際シンポジウム「Polymers meet Topology」2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Knots and Polymers: Aspects of topological entanglement in DNA, proteins and graph-shaped polymers2017

    • Related Report
      2017 Annual Research Report

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Published: 2017-07-04   Modified: 2023-01-30  

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