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Mathematical analyses of self-similarity and long-range dependence observed in a plant's heating phenomenon

Research Project

Project/Area Number 15KT0101
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section特設分野
Research Field Mathematical Sciences in Search of New Cooperation
Research InstitutionIwate University

Principal Investigator

Ito Kikukatsu  岩手大学, 農学部, 教授 (50232434)

Co-Investigator(Kenkyū-buntansha) 川崎 秀二  岩手大学, 理工学部, 准教授 (10282922)
Project Period (FY) 2015-07-10 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords発熱現象 / 時系列解析 / 自己相似性 / 長期記憶過程 / 植物 / 数理科学 / 長期記憶性 / 自己相関性 / 発熱植物 / 混合Poisson分布 / Kolmogorov-Smirnov検定 / 平衡系と線形弾性力
Outline of Final Research Achievements

The spadix of skunk cabbage can generate and maintain an internal temperature of about 23oC even when the ambient air temperature drops below freezing. In the present study, we took the increment process of the temperature time series and consider it as an 'elastic' force that always tries to backlash its temperature to an intrinsic target temperature. Here, we proposed a mixed Poisson distribution for the model of the 'elastic' force, and our analyses resulted by Kolmogorov-Smirnov test showed that the proposed distribution is a plausible candidate of the model. Moreover, the parameters of the model well captured the linear behavior of the expectations of 'elastic' forces. Collectively, the linearity of the expected increments over displacements of temperatures indicated that the backlash could be considered as the elastic force of a spring as described by Fuch's law.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (10 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (1 results) Journal Article (1 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 1 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (6 results) Remarks (2 results)

  • [Int'l Joint Research] アデレード大学(オーストラリア)

    • Related Report
      2015 Research-status Report
  • [Journal Article] The biochemical basis for thermoregulation in heat-producing flowers.2016

    • Author(s)
      Y. Umekawa, R.S. Seymour & K. Ito
    • Journal Title

      Scientific Reports

      Volume: 6 Issue: 1 Pages: 24830-24830

    • DOI

      10.1038/srep24830

    • NAID

      120007179837

    • Related Report
      2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] ザゼンソウ温度制御メカニズムのデータ解析的考察 - 混合 Poisson 分布で平衡状態を捉える -2018

    • Author(s)
      川崎 秀二、伊藤 菊一、梅川 結
    • Organizer
      京都大学RIMS共同研究(グループ型) 数理農学の基盤づくりに向けて
    • Related Report
      2017 Annual Research Report
  • [Presentation] ザゼンソウ温度制御メカニズムのデータ解析的考察-混合Poisson分布により平衡状態特性を捉える2017

    • Author(s)
      川崎秀二、伊藤菊一
    • Organizer
      応用統計学会2017年 年会
    • Place of Presentation
      中央大学後楽園キャンパス(東京都文京区)
    • Related Report
      2016 Research-status Report
  • [Presentation] 植物の恒温性メカニズムを支配する負の活性化エネルギーに関する研究2016

    • Author(s)
      梅川 結、ロジャー セイモア、伊藤 菊一
    • Organizer
      第89回日本生化学会大会
    • Place of Presentation
      仙台国際センター・東北大学 川内北キャンパス(宮城県仙台市)
    • Year and Date
      2016-09-25
    • Related Report
      2016 Research-status Report
  • [Presentation] 植物の恒温性メカニズムを解き明かす2016

    • Author(s)
      伊藤 菊一
    • Organizer
      第24回山形分子生物学セミナー
    • Place of Presentation
      山形大学(山形県鶴岡市)
    • Related Report
      2016 Research-status Report
  • [Presentation] ザゼンソウにおける温度変化と逆相関を示す呼吸調節メカニズム2015

    • Author(s)
      梅川 結,伊藤菊一
    • Organizer
      第38回分子生物学会年会・第88回生化学会大会合同大会 BMB2015
    • Place of Presentation
      神戸
    • Year and Date
      2015-12-01
    • Related Report
      2015 Research-status Report
  • [Presentation] 植物ザゼンソウの恒温性メカニズムにおける負の活性化エネルギー2015

    • Author(s)
      梅川 結,伊藤菊一
    • Organizer
      平成27年度 日本農芸化学会 東北支部 第150回大会
    • Place of Presentation
      仙台
    • Year and Date
      2015-10-03
    • Related Report
      2015 Research-status Report
  • [Remarks] 第38回分子生物学会年会・第88回生化学会大会 合同大会において若手優秀発表賞を受賞

    • URL

      http://www.iwate-u.ac.jp/news/news201512.shtml

    • Related Report
      2015 Research-status Report
  • [Remarks] ザゼンソウの恒温性メカニズムを解明

    • URL

      http://www.iwate-u.ac.jp/news/news201604.shtml

    • Related Report
      2015 Research-status Report

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Published: 2015-07-14   Modified: 2019-03-29  

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