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Understanding of multicellular

Research Project

Project/Area Number 21740077
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyushu University

Principal Investigator

YOSHIDA Hiroshi  九州大学, 数理学研究院, 准教授 (60401262)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords数理モデル / フィボナッチ数 / 楕円曲線 / 自己増殖 / 多細胞 / Dachsous : Fat / フィボナッチ数列 / 自己再帰 / 多細胞起源 / 細胞系譜
Research Abstract

I constructed a stochastic model of a cell chain over a Lindenmayer system. Using symbolic computation, I derived explicit relations between cell-type diversity and cell-type ratio constraint. These relations were described as elliptic curveand Fibonacci number-related equations. I further modeled a cell chain with Dachsous : Fat heterodimers and analyzed it. I parameterized redistribution of the heterodimers during cell division. Using prime ideal decomposition, I derived equations in parameters to regenerate the heterodimeric pattern even if part of the cell chain is excised. I thus obtained a regeneration and type-diversity condition necessary for multicells.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (20 results)

All 2012 2011 2010 2009

All Journal Article (8 results) (of which Peer Reviewed: 6 results) Presentation (12 results)

  • [Journal Article] "A condition for regeneration of a cell chain inspired by the Dachsous-Fat system,"2011

    • Author(s)
      Hiroshi Yoshida
    • Journal Title

      Journal of Math-for-Industry

      Volume: 3 Pages: 93-98

    • NAID

      40019161242

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hiroshi Yoshida, Yoshihiro Miwa and Masanobu Kaneko,"Elliptic curves and Fibonacci numbers arising from Lindenmayer system with Symbolic Computation,"2011

    • Author(s)
      Hiroshi Yoshida
    • Journal Title

      Applicable Algebra in Engineering, Communication and Computing

      Volume: 22 Pages: 147-164

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Elliptic curves and Fibonacci numbers arising from Lindenmayer system with Symbolic Computation2011

    • Author(s)
      Hiroshi Yoshida, Yoshihiro Miwa, Masanobu Kaneko
    • Journal Title

      Applicable Algebra in Engineering, Communication and Computing

      Volume: 22 Issue: 2 Pages: 147-164

    • DOI

      10.1007/s00200-011-0143-7

    • NAID

      120003783219

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A condition for regeneration of a cell chain inspired by the Dachsous-Fat system2011

    • Author(s)
      Hiroshi Yoshida
    • Journal Title

      Journal of Math-for-Industry

      Volume: 3 Pages: 93-98

    • NAID

      40019161242

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Elliptic curves and Fibonacci numbers arising from Lindenmayer system with Symbolic Computation2011

    • Author(s)
      Hiroshi Yoshida, et al.
    • Journal Title

      Applicable Algebra in Engineering, Communication and Computing

      Volume: (in press)

    • NAID

      120003783219

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Algebraic approaches to underdetermined experiments in biology2010

    • Author(s)
      Hiroshi Yoshida, et al.
    • Journal Title

      IPSJ Transactions on Bioinformatics

      Volume: 3 Pages: 62-69

    • NAID

      130000418482

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 金子昌信『リンデンマイヤシステム上の多細胞モデルにおける楕円曲線を含む曲線』2009

    • Author(s)
      吉田寛
    • Journal Title

      第5回「生物数学の理論とその応用」

      Volume: 1663 Pages: 14-19

    • Related Report
      2011 Final Research Report
  • [Journal Article] リンデンマイヤシステム上の多細胞モデルにおける楕円曲線を含む曲線2009

    • Author(s)
      吉田寛, 金子昌信
    • Journal Title

      数理解析研究所講究録

      Volume: 1663 Pages: 14-19

    • Related Report
      2009 Annual Research Report
  • [Presentation] Tetsuya Bando, and Sumihare Noji"A Model for Cell-divisionStop and Regeneration based on Dachsous/Fat heterodimer system,"2012

    • Author(s)
      Hiroshi Yoshida
    • Organizer
      The 2nd international conference on the Cricket/RNAi Symposium
    • Place of Presentation
      The University of Tokushima
    • Year and Date
      2012-03-19
    • Related Report
      2011 Final Research Report
  • [Presentation] A Model for Cell-division stop and Regeneration based on Dachsous/Fat heterodimer system2012

    • Author(s)
      Hiroshi Yoshida, Tetsuya Bando, Sumihare Noji
    • Organizer
      The 2^<nd> international conference on the cricket
    • Place of Presentation
      徳島大学(徳島)
    • Year and Date
      2012-03-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Tetsuya Bando, and Sumihare Noji"A model of cell-division stop for the limbregeneration,"2012

    • Author(s)
      Hiroshi Yoshida
    • Organizer
      BSCB/BSDB/JSDB Joint meeting
    • Place of Presentation
      Univ. of Warwick
    • Related Report
      2011 Final Research Report
  • [Presentation] Models of Cell-division Stoppage based on Dachsous/Fat heterodimer system2011

    • Author(s)
      Hiroshi Yoshida, Tetsuya Bando, Sumihare Noji
    • Organizer
      The 21st CDB Meeting "from Regeneration Biology to Regenerative Medicine"
    • Place of Presentation
      理研CDB(神戸)
    • Year and Date
      2011-11-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] 『Regenerative equations of Dachsous=Fat heterodimeric system』2011

    • Author(s)
      吉田寛
    • Organizer
      第4 9回生物物理学会
    • Place of Presentation
      姫路
    • Year and Date
      2011-09-17
    • Related Report
      2011 Final Research Report
  • [Presentation] Regenerative equations of Dachsous=Fat heterodimeric system2011

    • Author(s)
      吉田寛
    • Organizer
      第49回生物物理学会
    • Place of Presentation
      兵庫県立大学(姫路)
    • Year and Date
      2011-09-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] "A condition for regeneration of a cell chain based on Dachsous : Fat heterodimer system,"2011

    • Author(s)
      Hiroshi Yoshida
    • Organizer
      The European Conference on Mathematical and Theoretical Biology. ECMTB 2011-
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2011-06-30
    • Related Report
      2011 Final Research Report
  • [Presentation] A condition for regeneration of a cell chain based on Dachsous : Fatheterodimer system2011

    • Author(s)
      Hiroshi Yoshida
    • Organizer
      The European Conference on Mathematical and Theoretical Biology
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2011-06-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] Tetsuya Bando, and Sumihare Noji"Models of Cell-division Stoppage based onDachsous/Fat heterodimer system,"2011

    • Author(s)
      Hiroshi Yoshida
    • Organizer
      the 21st CDB Meeting"from Regeneration Biology to Regenerative Medicine"
    • Place of Presentation
      RIKEN CDB, Kobe
    • Related Report
      2011 Final Research Report
  • [Presentation] Derivation of resonant conditions with CGS2010

    • Author(s)
      Hiroshi Yoshida, Katsusuke Nabeshima
    • Organizer
      International Conference, Applications of Computer Algebra
    • Place of Presentation
      アルバニア(ヴォルラ)
    • Year and Date
      2010-06-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] 『Cleavage Automata for the egg cleavage and the cockroach leg regeneration』2010

    • Author(s)
      吉田寛
    • Organizer
      生物物理学会
    • Place of Presentation
      仙台
    • Related Report
      2011 Final Research Report
  • [Presentation] Algebraic approaches to underdetermined systems2009

    • Author(s)
      Hiroshi Yoshida, Kinji Kimura
    • Organizer
      The Joint Conference of ASCM 2009 and MACIS 2009
    • Place of Presentation
      Sea-Hawk Hotel(福岡県)
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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