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Development of mathematical model for virus infection and its application to data analysis

Research Project

Project/Area Number 25800092
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionKyushu University

Principal Investigator

IWAMI shingo  九州大学, 理学(系)研究科(研究院), 准教授 (90518119)

Project Period (FY) 2013-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2014: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords数理モデル / データ解析 / 偏微分方程式 / ウイルス感染実験 / パラメータ推定 / ウイルス感染 / 時間遅れを持つ微分方程式 / 時間遅れをもつ微分方程式 / 微分方程式 / 融合研究
Outline of Final Research Achievements

The time elapsed between successful cell infection and the start of virus production is called the eclipse phase. Its duration is specific to each virus strain and, along with an effective virus production rate, plays a key role in infection kinetics. Most mathematical models either neglect this phase or assume it is exponentially distributed, such that at least some if not all cells can produce virus immediately upon infection. Biologically, this is unrealistic (one must allow for the translation, transcription, export, etc. to take place), but could be appropriate if the duration of the eclipse phase is negligible on the time-scale of the infection. Here, we introduced a new approach, consisting in a carefully designed experiment and simple analytical expressions, to determine the duration and distribution of the eclipse phase in vitro. We found that the eclipse phase of SHIV-KS661 lasts on average one day and is consistent with an Erlang distribution.

Report

(3 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • Research Products

    (6 results)

All 2015 2014 2013

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Acknowledgement Compliant: 2 results,  Open Access: 1 results) Presentation (4 results) (of which Invited: 1 results)

  • [Journal Article] A conservation law for virus infection kinetics in vitro2015

    • Author(s)
      Yusuke Kakizoe, Satoru Morita, Shinji Nakaoka, Yasuhiro Takeuchi, Kei Sato, Tomoyuki Miura, Catherine A. A. Beauchemin, and Shingo Iwami
    • Journal Title

      Journal of Theoretical Biology

      Volume: 376 Pages: 39-47

    • DOI

      10.1016/j.jtbi.2015.03.034

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A method to determine the duration of the eclipse phase for in vitro infection with a highly pathogenic SHIV strain2015

    • Author(s)
      Yusuke Kakizoe, Shinji Nakaoka, Catherine A. A. Beauchemin, Satoru Morita, Hiromi Mori, Tatsuhiko Igarashi, Kazuyuki Aihara, Tomoyuki Miura, Shingo Iwami
    • Journal Title

      Scientific Reports

      Volume: accepted

    • NAID

      120005689172

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] タイムラグを持つ微分方程式によるウイルス感染動態の定量的解析2014

    • Author(s)
      岩見真吾
    • Organizer
      日本数学会 秋季総合分科会 2013
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] タイムラグをもつ微分方程式を用いたデータ解析2014

    • Author(s)
      岩見 真吾
    • Organizer
      博多駅前セミナー
    • Place of Presentation
      リファレンスビル駅東ビル
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Modeling ecliptic phase of SHIV infection in cell culture2014

    • Author(s)
      Yusuke Kakizoe, Shinji Nakaoka, Tomoyuki Miura and Shingo Iwami
    • Organizer
      the 9th European Conference on Mathematical and Theoretical Biology
    • Place of Presentation
      Chalmers Conference Centre, Gothenburg, Sweden
    • Related Report
      2013 Research-status Report
  • [Presentation] ウイルスタンパク質産生時間を考慮した数理モデルの構築2013

    • Author(s)
      柿添 友輔、岩見 真吾
    • Organizer
      数理解析研究所研究集会「第10回生物数学の理論とその応用2013」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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