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Mathematical model of electrochemical catalysis by chain reaction theory

Research Project

Project/Area Number 16KT0023
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeMulti-year Fund
Section特設分野
Research Field Mathematical Sciences in Search of New Cooperation
Research InstitutionMeiji University

Principal Investigator

OGAWA Toshiyuki  明治大学, 総合数理学部, 専任教授 (80211811)

Co-Investigator(Kenkyū-buntansha) 宮路 智行  明治大学, 研究・知財戦略機構, 特任准教授 (20613342)
坂元 孝志  明治大学, 理工学部, 専任講師 (30546891)
中西 周次  大阪大学, 太陽エネルギー化学研究センター, 教授 (40333447)
Project Period (FY) 2016-07-19 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥14,950,000 (Direct Cost: ¥11,500,000、Indirect Cost: ¥3,450,000)
Fiscal Year 2018: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥6,630,000 (Direct Cost: ¥5,100,000、Indirect Cost: ¥1,530,000)
Fiscal Year 2016: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Keywords自己組織的連鎖反応 / 3種反応拡散系 / Tributsch-Pohlmannモデル / 進行波解 / 多電子移動 / 移流拡散 / 連鎖反応理論 / 均質化法 / 自己組織化 / GL理論
Outline of Final Research Achievements

In order to understand the pulse traveling wave in the self-organized chain reaction, we clarified the bifurcation phenomenon of the traveling wave solution of the three-component reaction diffusion systems which are phenomenologically related. In particular, we paid attention to whether or not the traveling wave solution of the two-species competitive system could be accelerated. First, we showed that the non-trivial traveling wave solution bifurcates by taking the growth rate of the third species as a parameter. Here, by assuming the influence of the third species on the two-species competitive system is small, we use the perturbation theory of the traveling wave solution of the dynamical system. It is now possible to classify whether the non-trivial solution accelerates or decelerates the original traveling wave near the critical point. By making an analytical formulation of drift bifurcation, highly accurate bifurcation analysis is realized.

Academic Significance and Societal Importance of the Research Achievements

3種の競争反応拡散系の進行波の分岐解析が高精度に可能になったのは解析技術的に重要である。また、ドリフト分岐点の周りの挙動が豊富で数学的にも新しい分岐構造が期待できる点でも発展性が見込める。一方、本来の目的であった自己組織的連鎖反応の理解には直接結びついていないが、現象論的でも自己触媒的に加速が実現する数学モデルの構造を提案していくことで将来的に実験科学に指針が得られることも期待される。実際、分担者の中西氏とは、生物が利用している代謝系のようなサイクリックな反応系に見られる自己触媒反応を人工的に構築するため、ネットワーク反応系に分岐構造を利用した制御を実現する次のプロジェクトに取り掛かっている。

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (30 results)

All 2020 2019 2018 2017 2016

All Journal Article (16 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 16 results,  Open Access: 3 results) Presentation (14 results) (of which Int'l Joint Research: 2 results,  Invited: 2 results)

  • [Journal Article] Extracellular electron transfer mediated by a cytocompatible redox polymer to study the crosstalk among the mammalian circadian clock, cellular metabolism, and cellular redox state2020

    • Author(s)
      Masahito Ishikawa, Kazuki Kawai, Masahiro Kaneko,Kenya Tanaka, Shuji Nakanishi, Katsutoshi Hori
    • Journal Title

      RSC Advances

      Volume: 10 Issue: 3 Pages: 1648-1657

    • DOI

      10.1039/c9ra10023g

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity2020

    • Author(s)
      Ichida Yu、Okuda Sakamoto Takashi
    • Journal Title

      Proceedings of the Japan Academy, Series A, Mathematical Sciences

      Volume: 96 Issue: 1 Pages: 1-6

    • DOI

      10.3792/pjaa.96.001

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] High-throughput combinatorial screening of multi-component electrolyte additives to improve the performance of Li metal secondary batteries2019

    • Author(s)
      Matsuda Shoichi、Nishioka Kiho、Nakanishi Shuji
    • Journal Title

      Scientific Reports

      Volume: 9 Issue: 1 Pages: 1-8

    • DOI

      10.1038/s41598-019-42766-x

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Negative differential resistance as a critical indicator for the discharge capacity of lithium-oxygen batteries2019

    • Author(s)
      Hase Yoko、Komori Yasuhiro、Kusumoto Takayoshi、Harada Takashi、Seki Juntaro、Shiga Tohru、Kamiya Kazuhide、Nakanishi Shuji
    • Journal Title

      Nature Communications

      Volume: 10 Issue: 1 Pages: 1-9

    • DOI

      10.1038/s41467-019-08536-z

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Photocathode Characteristics of a Spray-Deposited Cu2ZnGeS4 Thin Film for CO2 Reduction in a CO2-Saturated Aqueous Solution2019

    • Author(s)
      Ikeda Shigeru、Fujikawa Shotaro、Harada Takashi、Nguyen Thi Hiep、Nakanishi Shuji、Takayama Tomoaki、Iwase Akihide、Kudo Akihiko
    • Journal Title

      ACS Applied Energy Materials

      Volume: 2 Issue: 9 Pages: 6911-6918

    • DOI

      10.1021/acsaem.9b01418

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hopf Bifurcation and Hopf-Pitchfork Bifurcation in an Integro-Differential Reaction-Diffusion System2019

    • Author(s)
      KOBAYASHI Shunsuke、SAKAMOTO Takashi Okuda
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 42 Issue: 1 Pages: 121-183

    • DOI

      10.3836/tjm/1502179295

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence proof of unimodal solutions of the Proudman?Johnson equation via interval analysis2019

    • Author(s)
      Miyaji T, Okamoto H
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 36 Issue: 1 Pages: 287-298

    • DOI

      10.1007/s13160-018-00339-x

    • NAID

      210000173644

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Competition between global feedback and diffusion in coupled Belousov-Zhabotinsky oscillators2019

    • Author(s)
      Ohno Kota、Ogawa Toshiyuki、Suematsu Nobuhiko J.
    • Journal Title

      Physical Review E

      Volume: 99 Issue: 1 Pages: 12208-12208

    • DOI

      10.1103/physreve.99.012208

    • Related Report
      2019 Annual Research Report 2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Electrochemical Formation of Fe(IV)=O Derived from H 2 O 2 on a Hematite Electrode as an Active Catalytic Site for Selective Hydrocarbon Oxidation Reactions2019

    • Author(s)
      Kamiya Kazuhide、Kuwabara Akito、Harada Takashi、Nakanishi Shuji
    • Journal Title

      ChemPhysChem

      Volume: 20 Issue: 5 Pages: 648-650

    • DOI

      10.1002/cphc.201801207

    • Related Report
      2019 Annual Research Report 2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Rippling rectangular waves for a modified Benney equation2018

    • Author(s)
      Miyaji Tomoyuki、Ogawa Toshiyuki、Sekisaka Ayuki
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 印刷中 Issue: 2 Pages: 939-968

    • DOI

      10.1007/s13160-018-0304-1

    • NAID

      210000166795

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Spiral breakup in a RD system of cardiac excitation due to front?back interaction2018

    • Author(s)
      Gani M. Osman、Ogawa Toshiyuki
    • Journal Title

      Wave Motion

      Volume: 79 Pages: 73-83

    • DOI

      10.1016/j.wavemoti.2018.02.010

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Photo-induced direct interfacial charge transfer at TiO2 modified with hexacyanoferrate(iii)2018

    • Author(s)
      Tatebe Tomomi、Harada Takashi、Kamiya Kazuhide、Nakanishi Shuji
    • Journal Title

      Photochemical & Photobiological Sciences

      Volume: 17 Issue: 9 Pages: 1153-1156

    • DOI

      10.1039/c8pp00237a

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Covalent triazine framework modified with coordinatively-unsaturated Co or Ni atoms for CO2 electrochemical reduction2018

    • Author(s)
      Su Panan、Iwase Kazuyuki、Harada Takashi、Kamiya Kazuhide、Nakanishi Shuji
    • Journal Title

      Chemical Science

      Volume: - Issue: 16 Pages: 3941-3947

    • DOI

      10.1039/c8sc00604k

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Selective Reduction of Nitrate by a Local Cell Catalyst Composed of Metal-Doped Covalent Triazine Frameworks2018

    • Author(s)
      Kamiya Kazuhide、Tatebe Tomomi、Yamamura Shuhei、Iwase Kazuyuki、Harada Takashi、Nakanishi Shuji
    • Journal Title

      ACS Catalysis

      Volume: 8 Issue: 4 Pages: 2693-2698

    • DOI

      10.1021/acscatal.7b04465

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stability of periodic traveling waves in the Aliev-Panfilov reaction-diffusion system2016

    • Author(s)
      M. Osman Gani and Toshiyuki Ogawa
    • Journal Title

      Communications in Nonlinear Science and Numerical Simulation

      Volume: 33 Pages: 30-42

    • DOI

      10.1016/j.cnsns.2015.09.002

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Chaotic Dynamics in an Integro-Differential Reaction-Diffusion System in the Presence of 0:1:2 Resonance2016

    • Author(s)
      T.Ogawa and T.O.Sakamoto
    • Journal Title

      in “Mathematical Fluid Dynamics, Present and Future”, Springer Proceedings in Mathematics & Statistics

      Volume: 183 Pages: 531-562

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Presentation] 導電性基板上での触媒ネットワークによる亜硝酸の光誘起選択還元反応2019

    • Author(s)
      杉本梨乃、原田隆史、神谷和秀、中西周次
    • Organizer
      2019年電気化学会第86回大会
    • Related Report
      2019 Annual Research Report 2018 Research-status Report
  • [Presentation] Rippling Rectangular Waves for a Modified Benney Equation2018

    • Author(s)
      Toshiyuki Ogawa
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 有機構造体/酸化チタン複合材料から成る光局部電池触媒による亜硝酸の選択還元反応2018

    • Author(s)
      杉本梨乃、原田隆史、神谷和秀、中西周次
    • Organizer
      日本化学会秋季事業第8回CSJ化学フェスタ2018
    • Related Report
      2018 Research-status Report
  • [Presentation] 共有結合性有機構造体からなる局部電池触媒による窒素酸化物の選択的還元反応2018

    • Author(s)
      建部友実、原田隆史、岩瀬和至、神谷和秀、中西周次
    • Organizer
      2018年電気化学会秋季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Mathematical Understanding of Kerr Frequency Combs From a Viewpoint of A Pattern-Formation Phenomenon2018

    • Author(s)
      Tomoyuki Miyaji
    • Organizer
      KEIO Symposium on Microresonator Frequency Comb
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] さざ波立つ矩形波へのトーラス分岐2017

    • Author(s)
      宮路智行、小川知之、関坂歩幹
    • Organizer
      日本数学会2017年年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-27
    • Related Report
      2016 Research-status Report
  • [Presentation] Oscillatory hexagonal pattern in a 2-dimensional integro-differential reaction-diffusion system2017

    • Author(s)
      小林俊介,坂元孝志
    • Organizer
      日本数学会2017年年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-27
    • Related Report
      2016 Research-status Report
  • [Presentation] 硫黄架橋型誘起構造体への銅イオン担持とその酸素還元触媒能2017

    • Author(s)
      岩瀬和至、神谷和秀、中西周次、橋本和仁
    • Organizer
      電気化学会第84回大会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-26
    • Related Report
      2016 Research-status Report
  • [Presentation] ルテニウム担持有機構造体におけるアルコールの選択酸化特性2017

    • Author(s)
      山口信義、神谷和秀、中西周次、橋本和仁
    • Organizer
      電気化学会第84回大会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-26
    • Related Report
      2016 Research-status Report
  • [Presentation] Torus bifurcations to rippling rectangular waves2017

    • Author(s)
      T.Miyaji
    • Organizer
      The Taiwan-Japan Joint mini-workshop on Applied Mathematics
    • Place of Presentation
      Higashi Hiroshima Arts & Culture Hall KURARA
    • Year and Date
      2017-03-09
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Rippling Rectangular Waves for a Modified Benney Equation2017

    • Author(s)
      T.Ogawa
    • Organizer
      ReaDiNet 2017, International Conference on Mathematical Biology
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Selective reduction of nitrate by the local-cell catalyst composed of metal modified covalent triazine frameworks2017

    • Author(s)
      神谷和秀、山村修平、建部友美、原田隆史、中西周次
    • Organizer
      International Workshop on Electrified Interfaces for Energy Conversions
    • Related Report
      2017 Research-status Report
  • [Presentation] Torus bifurcations to rippiling rectangular waves,2017

    • Author(s)
      Tomoyuki Miyaji
    • Organizer
      Torus bifurcations to rippiling rectangular waves, (Equadiff 2017,)
    • Related Report
      2017 Research-status Report
  • [Presentation] 振動場Oregonator modelの大域的制御2016

    • Author(s)
      大野航太, 小川知之, 末松信彦
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学瀬田キャンパス
    • Year and Date
      2016-12-16
    • Related Report
      2016 Research-status Report

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Published: 2016-07-20   Modified: 2023-03-08  

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