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Constructing 4-dimensional growth dynamics and analyzing the process of space structure formation of an individual forage plant

Research Project

Project/Area Number 21658089
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field Zootechnical science/Grassland science
Research InstitutionKyushu University

Principal Investigator

SHIMOJO Masataka  九州大学, 大学院・農学研究院, 准教授 (50136545)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥2,910,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2009: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywords草地利用 / 畜産学 / 成長関数 / 4次元 / ボンディK因子 / 成長力学 / 運動力学 / 類似性 / 関数階層構造 / 指数関数 / 牧草 / ボンディのK因子 / アナロジー / 初等成長力学 / 時間・空間 / 対称性 / ニュートン力学 / 2乗 / 正・負
Research Abstract

Basic growth function was combined with its first and second derivatives to form a new equation, which was then investigated to derive its 4-dimensional properties based on analogies with Newton' s law of motion and special relativity. In its application to the growth analysis of an individual forage plant, the squared value of net growth acceleration for plant weight(NGA : growth acceleration for plant weight per unit of leaf area) was calculated for the growth along time axis(t), that along height axis(x), that along width axis(y), and that along depth axis(z). The ratio of NGA squared in 3-dimensional space(the sum of x, y and z) to that in time(t) was considered useful to analyze the process of space structure formation with the growth of an individual forage plant.

Report

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

    (31 results)

All 2012 2011 2010 2009

All Journal Article (20 results) Presentation (11 results)

  • [Journal Article] Deriving five growth functions from Bertalanffy function based on symmetry and complexity, Journal of the Faculty of Agriculture2012

    • Author(s)
      Masataka Shimojo, Yutaka Nakano, Manabu Tobisa and Tao Shao
    • Journal Title

      Kyushu University

      Volume: Vol.57, No.1 Pages: 151-152

    • Related Report
      2011 Final Research Report
  • [Journal Article] Mathematical relationships between basic growth function and Bondi K. factor, Journal of the Faculty of Agriculture2012

    • Author(s)
      Masataka Shimojo and Yutaka Nakano
    • Journal Title

      Kyushu University

      Volume: Vol.57, No.1 Pages: 153-154

    • Related Report
      2011 Final Research Report
  • [Journal Article] Deriving Five Growth Functions from Bertalanffy Function based on Symmetry and Complexity2012

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University

      Volume: 57(1) Pages: 151-152

    • NAID

      120004191756

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Mathematical Relationships between Basic Growth Function and Bondi K-Factor2012

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University

      Volume: 57(1) Pages: 153-154

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Comparison between Richards growth function, its family growth functions and basic growth function, Journal of the Faculty of Agriculture2011

    • Author(s)
      Masataka Shimojo, Yutaka Nakano, Manabu Tobisa and Tao Shao
    • Journal Title

      Kyushu University

      Volume: Vol.56, No.1 Pages: 75-76

    • Related Report
      2011 Final Research Report
  • [Journal Article] An application of the golden ratio and Fibonacci numbers to analyses of canopy structure of forage plants, Journal of the Faculty of Agriculture2011

    • Author(s)
      Masataka Shimojo, Manabu Tobisa and Yutaka Nakano
    • Journal Title

      Kyushu University

      Volume: Vol.56, No.1 Pages: 77-78

    • Related Report
      2011 Final Research Report
  • [Journal Article] Symmetry in motion in Euler. s formula and its breakdown in hyperbolic function and growth function, Journal of the Faculty of Agriculture2011

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Kyushu University

      Volume: Vol.56, No.1 Pages: 79-81

    • Related Report
      2011 Final Research Report
  • [Journal Article] Exponential function, Bondi K. factor and imaginary unit, Journal of the Faculty of Agriculture2011

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Kyushu University

      Volume: Vol.56, No.2 Pages: 285-286

    • Related Report
      2011 Final Research Report
  • [Journal Article] Exponential Function, Bondi K-Factor and Imaginary Unit2011

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University

      Volume: 56(2) Pages: 285-286

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Comparison between Richards growth function, its family growth functions and basic growth function2011

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University

      Volume: 56(1) Pages: 75-76

    • NAID

      120003025277

    • Related Report
      2010 Annual Research Report
  • [Journal Article] An application of the golden ratio and Fibonacci numbers to analyses of canopy structure of forage plants2011

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University

      Volume: 56(1) Pages: 77-78

    • NAID

      120003025278

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Symmetry in motion in Euler's formula and its breakdown in hyperbolic function and growth function2011

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University

      Volume: 56(1) Pages: 79-81

    • NAID

      120003025279

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Introducing viewpoints of mechanics into basic growth analysis.(XIV) Growth dynamics and related problems based on mathematical properties of modified differential equation for growth., Journal of the Faculty of Agriculture2010

    • Author(s)
      Masataka Shimojo, Tao Shao, Yutaka Nakano, Hidetoshi Kakihara and Manabu Tobisa
    • Journal Title

      Kyushu University

      Volume: Vol.55, No.2 Pages: 253-257

    • Related Report
      2011 Final Research Report
  • [Journal Article] Introducing viewpoints of mechanics into basic growth analysis.(XV) Relationships between Richards growth function and basic growth function., Journal of the Faculty of Agriculture2010

    • Author(s)
      Masataka Shimojo, Yutaka Nakano, Hidetoshi Kakihara, Tao Shao and Manabu Tobisa
    • Journal Title

      Kyushu University

      Volume: Vol.55, No.2 Pages: 259-260

    • Related Report
      2011 Final Research Report
  • [Journal Article] Introducing viewpoints of mechanics into basic growth analysis-(XIV) Growth dynamics and related problems based on mathematical properties of modified differential equation for growth-2010

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University

      Volume: 55(2) Pages: 253-257

    • NAID

      120002697628

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Introducing viewpoints of mechanics into basic growth analysis-(XV) Relationships between Richards growth function and basic growth function-2010

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University

      Volume: 55(2) Pages: 259-260

    • NAID

      120002697629

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Introducing viewpoints of mechanics into basic growth analysis.(XI) Negative weight problem in basic growth functions and its hypothetic avoidance by sign reversal of relative growth rate, space inversion and time reversal., Journal of the Faculty of Agri2009

    • Author(s)
      Masataka Shimojo, Tao Shao, Jun Tanoue, Hidetoshi Kakihara, Chiemi Sata, Hayato Fukudome, Reiko Ishiwaka, Yoki Asano, Yutaka Nakano, Manabu Tobisa and Yasuhisa Masuda
    • Journal Title

      Kyushu University

      Volume: Vol.54, No.2 Pages: 353-355

    • Related Report
      2011 Final Research Report
  • [Journal Article] Introducing viewpoints of mechanics into basic growth analysis.(XIII) Comparing growth mechanics between logistic functions and basic growth functions., Journal of the Faculty of Agriculture2009

    • Author(s)
      Masataka Shimojo, Tao Shao, Satoshi Ishimatsu, Jun Tanoue, Hidetoshi Kakihara, Chiemi Sata, Hayato Fukudome, Reiko Ishiwaka, Yoki Asano, Yutaka Nakano, Manabu Tobisa and Yasuhisa Masuda
    • Journal Title

      Kyushu University

      Volume: Vol.54, No.2 Pages: 361-363

    • Related Report
      2011 Final Research Report
  • [Journal Article] Introducing viewpoints of mechanics into basic growth analysis-(XI)Negative weight problem in basic growth functions and its hypothetic avoidance by sign reversal of relative growth rate, space inversion and time reversal-2009

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University 54(2)

      Pages: 353-355

    • NAID

      120001766558

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Introducing viewpoints of mechanics into basic growth analysis -(XIII)Comparing growth mechanics between logistic functions and basic growth functions-2009

    • Author(s)
      Masataka Shimojo
    • Journal Title

      Journal of the Faculty of Agriculture, Kyushu University 54(2)

      Pages: 361-363

    • NAID

      120001766560

    • Related Report
      2009 Annual Research Report
  • [Presentation] 数種の成長関数における階層構造2012

    • Author(s)
      下條雅敬・中野豊
    • Organizer
      2012年度日本畜産学会・第115回大会
    • Place of Presentation
      名古屋市(名古屋大学ES総合館)
    • Year and Date
      2012-03-29
    • Related Report
      2011 Final Research Report
  • [Presentation] 数種の成長関数における階層構造2012

    • Author(s)
      下條雅敬
    • Organizer
      第115回日本畜産学会・名古屋大会
    • Place of Presentation
      名古屋大学・ES総合館(愛知県名古屋市)
    • Year and Date
      2012-03-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] Dynamic aspects of Richards function, logistic function and basic growth function2011

    • Author(s)
      Masataka Shimojo, Yutaka Nakano and Hidetoshi Kakihara
    • Organizer
      The 8th International AFAS Joint Symposium between Japan and Korea. The recent status and perspectives of agriculture, forestry, and animal sciences in 2011
    • Place of Presentation
      米子市(米子コンベンションセンター)
    • Year and Date
      2011-11-16
    • Related Report
      2011 Final Research Report
  • [Presentation] Dynamic Aspects of Richards Function, Logisitic Function and Basic Growth Function2011

    • Author(s)
      Masataka Shimojo
    • Organizer
      The 8th International AFAS Joint Symposium between Japan and Korea
    • Place of Presentation
      米子コンベンションセンター(鳥取県米子市)
    • Year and Date
      2011-11-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] ベルタランフィ関数と初等成長関数2011

    • Author(s)
      下條雅敬・中野豊
    • Organizer
      第4回日本暖地畜産学会・沖縄大会
    • Place of Presentation
      那覇市(沖縄産業支援センター)
    • Year and Date
      2011-10-29
    • Related Report
      2011 Final Research Report
  • [Presentation] ベルタランフィ関数と初等成長関数2011

    • Author(s)
      下條雅敬
    • Organizer
      第4回日本暖地畜産学会・沖縄大会
    • Place of Presentation
      沖縄産業支援センター(沖縄県那覇市)
    • Year and Date
      2011-10-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] 数種の成長関数における関連性について2011

    • Author(s)
      下條雅敬・中野豊
    • Organizer
      2011年度日本草地学会・宇都宮大会
    • Place of Presentation
      宇都宮市(宇都宮大学大学会館)
    • Year and Date
      2011-03-27
    • Related Report
      2011 Final Research Report
  • [Presentation] 初等成長関数とリチャーズ成長関数2010

    • Author(s)
      下條雅敬・中野豊・柿原秀俊
    • Organizer
      第3回日本暖地畜産学会・大分大会
    • Place of Presentation
      別府市(別府亀の井ホテル)
    • Year and Date
      2010-10-17
    • Related Report
      2011 Final Research Report
  • [Presentation] 初等成長関数とリチャーズ成長関数2010

    • Author(s)
      下條雅敬
    • Organizer
      第3回日本暖地畜産学会・大分大会
    • Place of Presentation
      別府亀の井ホテル(大分県別府市)
    • Year and Date
      2010-10-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] 初等成長関数の力学的性質2010

    • Author(s)
      下條雅敬・石松慧・中野豊
    • Organizer
      2010年度日本草地学会・三重大会
    • Place of Presentation
      津市(三重大学三翠ホール)
    • Year and Date
      2010-03-28
    • Related Report
      2011 Final Research Report
  • [Presentation] 初等成長関数の力学的性質2010

    • Author(s)
      下條雅敬
    • Organizer
      日本草地学会三重大会
    • Place of Presentation
      三重大学生物資源学部(三重県津市)
    • Year and Date
      2010-03-28
    • Related Report
      2009 Annual Research Report

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

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