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Theory of polydisperse colloidal suspension and its application to intracellular diffusion

Research Project

Project/Area Number 18K03417
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 12040:Applied mathematics and statistics-related
Research InstitutionNaruto University of Education

Principal Investigator

Miyaguchi Tomoshige  鳴門教育大学, 大学院学校教育研究科, 教授 (10367071)

Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2021: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywordsブラウン運動 / コロイド / 一般化ランジュバン方程式 / 非ガウス性 / 点過程 / 拡散性の揺らぎ / 混み合い / 流体力学的相互作用
Outline of Final Research Achievements

(1) Fluctuating diffusivity: Cytoplasm is crowded with macromolecules. Due to the crowding, diffusivity in cytoplasm is about 10 times less than that at infinite dilution. In this study, the reduction rate of diffusivity in a coarse-grained model of cytoplasm is derived.
(2) Non-Gaussianity and anomalous diffusion: Single particle experiments have revealed that relatively large molecules in cytoplasm exhibit complex diffusion. In particular, intrinsic statistical properties such as non-Gaussianity and anomalous diffusion have been found. Therefore, a novel stochastic equation of motion (a generalized Langevin equation with fluctuating diffusivity) is proposed.

Academic Significance and Societal Importance of the Research Achievements

(1)拡散性の低減: 細胞質の粗視化モデルの拡散性低減に関する最初の理論的な結果である。これらの結果はいまだ十分なものではないが、今後より精密化されることが期待される。このような理論解析の結果は細胞内輸送特性のより深い理解につながると考えられる。
(2)非ガウス性と異常拡散: 「拡散性が揺らぐ一般化ランジュバン方程式」はこれまで提案されてきた現象論的モデルと同様に、異常拡散と非ガウス性を共に再現する。それに加えて揺動散逸定理を満たすことから物理的な基礎付けも与えられている。この点から、細胞内拡散現象などを説明する理論モデルとして非常に有望であると考えている。

Report

(5 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (10 results)

All 2021 2020 2019 2018

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Open Access: 2 results) Presentation (5 results) (of which Invited: 2 results)

  • [Journal Article] Detrended fluctuation analysis of earthquake data2021

    • Author(s)
      Takumi Kataoka; Tomoshige Miyaguchi; Takuma Akimoto
    • Journal Title

      Physical Review Research

      Volume: 3 Issue: 3 Pages: 033081-033081

    • DOI

      10.1103/physrevresearch.3.033081

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Piecewise linear model of self-organized hierarchy formation2020

    • Author(s)
      Tomoshige Miyaguchi; Takamasa Miki;Ryota Hamada
    • Journal Title

      Physical Review E

      Volume: 102 Issue: 3

    • DOI

      10.1103/physreve.102.032213

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reduction of self-diffusion coefficient in a coarse-grained model of cytoplasm2020

    • Author(s)
      Tomoshige Miyaguchi
    • Journal Title

      Physical Review Research

      Volume: 2 Issue: 1

    • DOI

      10.1103/physrevresearch.2.013279

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Brownian motion with alternately fluctuating diffusivity: Stretched-exponential and power-law relaxation2019

    • Author(s)
      Tomoshige Miyaguchi; Takashi Uneyama; Takuma Akimoto
    • Journal Title

      Physical Review E

      Volume: 100 Issue: 1 Pages: 012116-012116

    • DOI

      10.1103/physreve.100.012116

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Relaxation functions of the Ornstein-Uhlenbeck process with fluctuating diffusivity2019

    • Author(s)
      Takashi Uneyama; Tomoshige Miyaguchi; Takuma Akimoto
    • Journal Title

      Physical Review E

      Volume: 99 Issue: 3 Pages: 032127-032127

    • DOI

      10.1103/physreve.99.032127

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 細胞質の数理モデルにおける拡散性の低減2019

    • Author(s)
      宮口智成
    • Organizer
      日本物理学会・秋季大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 拡散係数がゆらぐ Ornsetin-Uhlenbeck 過程における緩和挙動の解析2019

    • Author(s)
      畝山多加志・宮口智成・秋元琢磨
    • Organizer
      日本物理学会・秋季大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 拡散性が揺らぐランジュバン方程式: 緩和特性と非ガウス性2019

    • Author(s)
      宮口智成
    • Organizer
      鳥取非線形研究会2019
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] 拡散性揺らぎのテンソル時系列解析2018

    • Author(s)
      宮口智成
    • Organizer
      日本物理学会・秋季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 不均質なブラウン粒子系における拡散性の低減理論とその応用2018

    • Author(s)
      宮口智成
    • Organizer
      散逸構造・カオス・複雑系シンポジウム
    • Related Report
      2018 Research-status Report
    • Invited

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Published: 2018-04-23   Modified: 2023-01-30  

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