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Analysis of multi-scale mathematical models with inter-hierarchical feedback effects and their applications for disease

Research Project

Project/Area Number 16K05265
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionHokkaido University (2018)
The University of Tokyo (2016-2017)

Principal Investigator

Nakaoka Shinji  北海道大学, 先端生命科学研究院, 特任講師 (30512040)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords数理モデル / 応用数学 / 生命医科学 / モデル化 / 数理工学 / 数学基礎論 / 免疫学 / 再生医学
Outline of Final Research Achievements

Some common diseases such as cancer and dermatitis occur as a result of the progression of essential protein (molecule) and cell abnormalities. In some disorders, progress may be mediated by hierarchical feedback between molecules (fast dynamics) and tissues (slow dynamics).

In this study, we investigate multi-scale dynamics of disease progression by mathematical models with hierarchical feedback. One of the expected outcomes of this study is to contribute to understanding dynamical processes of disease progression by using mathematical modeling, analyses, and numerical simulations.

Academic Significance and Societal Importance of the Research Achievements

本研究により、分子 (速いダイナミクス) と細胞・組織 (遅いダイナミクス) レベルで見られるタイムスケールの違いを考慮した生命現象を取り扱う上で役立つ数理モデルを開発することができた。

開発した数理モデルをもとに、実データを解析して得られた結果を生物学・医学に基づいて解釈することで、様々な疾患に対する理解が得られるとともに、将来的に疾患を制御する上で重要な示唆を得ることができた。

Report

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

    (27 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (2 results) Journal Article (13 results) (of which Int'l Joint Research: 9 results,  Peer Reviewed: 13 results,  Open Access: 7 results,  Acknowledgement Compliant: 1 results) Presentation (12 results) (of which Int'l Joint Research: 11 results,  Invited: 6 results)

  • [Int'l Joint Research] Konkuk University(韓国)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] UNIST(韓国)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection2019

    • Author(s)
      Kitagawa K., Kuniya T., Nakaoka S., Asai Y., Watashi K. and Iwami S.
    • Journal Title

      Bulletin of Mathematical Biology

      Volume: 81(5) Issue: 5 Pages: 1427-1441

    • DOI

      10.1007/s11538-018-00564-y

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Calculation of final size for vector-transmitted epidemic model2019

    • Author(s)
      Tsubouchi Yu、Takeuchi Yasuhiro、Nakaoka Shinji
    • Journal Title

      Mathematical Biosciences and Engineering

      Volume: 16 Issue: 4 Pages: 2219-2232

    • DOI

      10.3934/mbe.2019109

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] T-Cell mediated adaptive immunity and antibody-dependent enhancement in secondary dengue infection2019

    • Author(s)
      Sasmal Sourav Kumar、Takeuchi Yasuhiro、Nakaoka Shinji
    • Journal Title

      Journal of Theoretical Biology

      Volume: 470 Pages: 50-63

    • DOI

      10.1016/j.jtbi.2019.03.010

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A PDE multiscale model of hepatitis C virus infection can be transformed to a system of ODEs2018

    • Author(s)
      K. Kitagawa, S. Nakaoka, Y. Asai, K. Watashi, S. Iwami
    • Journal Title

      Journal of Theoretical Biology

      Volume: 48 Pages: 80-85

    • DOI

      10.1016/j.jtbi.2018.04.006

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Delayed feedback induced complex dynamics in an Escherichia coli and Tetrahymena system2018

    • Author(s)
      Dong Yueping、Sen Moitri、Banerjee Malay、Takeuchi Yasuhiro、Nakaoka Shinji
    • Journal Title

      Nonlinear Dynamics

      Volume: 94 Issue: 2 Pages: 1447-1466

    • DOI

      10.1007/s11071-018-4434-4

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Data-Driven Mathematical Modeling of Microbial Community Dynamics2018

    • Author(s)
      Nakaoka Shinji
    • Journal Title

      Handbook of Statistics

      Volume: 39 Pages: 93-130

    • DOI

      10.1016/bs.host.2018.08.001

    • ISBN
      9780444640727
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The CCR4-NOT deadenylase complex controls Atg7-dependent cell death and heart function2018

    • Author(s)
      Yamaguchi Tomokazu et al
    • Journal Title

      Science Signaling

      Volume: 11 Issue: 516 Pages: 3638-3638

    • DOI

      10.1126/scisignal.aan3638

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dynamics of tumor immune escape via adaptive change2018

    • Author(s)
      Naoki Nakada, Mizuho Nagata, Yueping Dong, Yasuhiro Takeuchi, and Shinji Nakaoka
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 9 Issue: 2 Pages: 295-304

    • DOI

      10.1587/nolta.9.295

    • NAID

      130006602760

    • ISSN
      2185-4106
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Sporadic on/off switching of HTLV-1 Tax expression is crucial to maintain the whole population of virus-induced leukemic cells.2018

    • Author(s)
      Mahgoub M, Yasunaga JI, Iwami S, Nakaoka S, Koizumi Y, Shimura K, Matsuoka M.
    • Journal Title

      Proc Natl Acad Sci U S A

      Volume: 115 Issue: 6 Pages: 529-538

    • DOI

      10.1073/pnas.1715724115

    • NAID

      120006697286

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A mathematical model of multiple delayed feedback control system of the gut microbiota?Antibiotics injection controlled by measured metagenomic data2018

    • Author(s)
      Dong Yueping、Takeuchi Yasuhiro、Nakaoka Shinji
    • Journal Title

      Nonlinear Analysis: Real World Applications

      Volume: 43 Pages: 1-17

    • DOI

      10.1016/j.nonrwa.2018.02.005

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A highly pathogenic simian/human immunodeficiency virus effectively produces infectious virions compared with a less pathogenic virus in cell culture2017

    • Author(s)
      Iwanami S, Kakizoe Y, Morita S, Miura T, Nakaoka S, Iwami S
    • Journal Title

      Theor Biol Med Model

      Volume: 14 Issue: 1 Pages: 9-9

    • DOI

      10.1186/s12976-017-0055-8

    • NAID

      120006305768

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Dynamics of epidermis: A mathematical model2016

    • Author(s)
      Shinji Nakaoka, Sota Kuwahara, Chang Hyeong Lee, Hyejin Jeon, Junho Lee, Yasuhiro Takeuchi, Yangjin Kim
    • Journal Title

      Applied Science

      Volume: 6 Issue: 9 Pages: 252-252

    • DOI

      10.3390/app6090252

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Modelling Ebola virus dynamics: Implications for therapy.2016

    • Author(s)
      Martyushev A, Nakaoka S, Sato K, Noda T, Iwami S.
    • Journal Title

      Antiviral Res

      Volume: 135 Pages: 62-73

    • DOI

      10.1016/j.antiviral.2016.10.004

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Trajectory inference of disease onset from non-time series microbiome datasets2018

    • Author(s)
      Shinji Nakaoka
    • Organizer
      South Lake Workshop in Bioinformatics and System Biology
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Invasibility threshold and persistence of bacterial species2018

    • Author(s)
      Shinji Nakaoka
    • Organizer
      Annual meeting of Korean Society for Industrial and Applied Mathematics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Development and applications of an optimization method to detect neighbor equilibria of a trajectory for Lotka-Volterra systems2018

    • Author(s)
      Shinji Nakaoka
    • Organizer
      12TH AIMS INTERNATIONAL CONFERENCE
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Trajectory inference of HIV progression with microbiome data2018

    • Author(s)
      Shinji Nakaoka
    • Organizer
      SMB&JSMB2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Mathematical and informatics analysis of community composition change of the gut microbiota2018

    • Author(s)
      Shinji Nakaoka
    • Organizer
      2018 INTERNATIONAL WORKSHOP ON MATHEMATICAL BIOLOGY
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Compositional change of the gut microbiota in HIV infected humanized mice2018

    • Author(s)
      Shinji Nakaoka, Kei Sato
    • Organizer
      Next Gen Immunology
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Detection of responding factors to external perturbation in a microbial community2017

    • Author(s)
      Shinji Nakaoka
    • Organizer
      International Symposium on Nonlinear Theory and Its Applications
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Data mining of metabolic interactions in a gut microbial community induced by viral infection2017

    • Author(s)
      Shinji Nakaoka, Kei Sato
    • Organizer
      SMB 2017 Annual Meeting
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] ウイルス感染時における常在細菌叢との宿主免疫応系の代謝相互作用に関するデータマイニング2017

    • Author(s)
      中岡慎治,佐藤佳
    • Organizer
      第90回日本細菌学会総会
    • Place of Presentation
      仙台、日本
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Exploration of combinatorial emergence in coupled boolean network systems2016

    • Author(s)
      Shinji Nakaoka
    • Organizer
      The 22nd International Conference on Difference Equations and Applications
    • Place of Presentation
      大阪, 日本
    • Year and Date
      2016-07-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Investigation for population kinetics of reservoir cells in HIV infection2016

    • Author(s)
      Shinji Nakaoka
    • Organizer
      A3 Workshop on Interdisciplinary Research Connecting Mathematics and Biology
    • Place of Presentation
      北京, 中国
    • Year and Date
      2016-04-22
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Development of a computational grammar for immune cell processes2016

    • Author(s)
      中岡慎治
    • Organizer
      日本数理生物学会年会
    • Place of Presentation
      博多、日本
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research

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Published: 2016-04-21   Modified: 2020-03-30  

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