Mathematical analysis of transient pattern dynamics in Physarum polycephalum

• Project/Area Number: 22740064
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: University of Toyama (2011-2012); Kyoto University (2010)
• Principal Investigator: UEDA Keiichi 富山大学, 大学院・理工学研究部(理学), 准教授 (00378960)
• Project Period (FY): 2010 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000); Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: 反応拡散系 / 真正粘菌変形体 / 数理モデル / 環境適応性 / 細胞運動 / 遷移ダイナミクス / 情報処理 / 環境適応

Research Abstract

The survival of an organism can depend upon the direction in which it decides to move in response to changes in external conditions. In this project, we proposed mathematical models to elucidate mathematical mechanism of chemical reaction network for adaptive behavior. It was found that the proposed model describes a physicochemical mechanism of coupling between the local modulation of frequency and the global transport of protoplasmic mass. The decision process was clarified from a rheological point of view.

Research Products

• [Journal Article] A mathematical mechanism for instabilities in stripe formation on growing domains (2012)
  • Author(s): K.-I.Ueda, Y.Nishiura
  • Journal Title: Physica D Volume: Vol.241 Issue: 1 Pages: 37-59
  • DOI: 10.1016/j.physd.2011.09.016
  • NAID: 120003702849
  • Peer Reviewed
• [Journal Article] Tacticdirection determined by the interaction betweenoscillatory chemical waves and rheologicaldeformation in an amoeba (2012)
  • Author(s): K. Ueda, S. Takagi, and T. Nakagaki
  • Journal Title: Physical Review Volume: E86 Issue: 1 Pages: 11927-11927
  • DOI: 10.1103/physreve.86.011927
  • Peer Reviewed
• [Journal Article] Chaotic motion of propagating pulses in the Gray-Scott model (2011)
  • Author(s): M. Yadome, K. Ueda, M. Nagayama
  • Journal Title: Physical Review E Volume: Vol.83, Issue 5 Issue: 5 Pages: 83-83
  • DOI: 10.1103/physreve.83.056207
  • Peer Reviewed
• [Journal Article] Mathematical model for contemplative amoeboid locomotion (2011)
  • Author(s): K.-I.Ueda, S.Takagi, Y.Nishiura, T.Nakagaki
  • Journal Title: Physical Review E Volume: Vol.83 Issue: 2 Pages: 21916-21916
  • DOI: 10.1103/physreve.83.021916
  • Peer Reviewed
• [Journal Article] 真正粘菌変形体の環境適応性 (2011)
  • Author(s): 上田 肇一, 高木 清二, 中垣 俊之, 西浦 廉政
  • Journal Title: 物性研究 Volume: 96(1) Pages: 93-94
• [Journal Article] 上田 肇一, 高木 清二, 中垣 俊之 (2011)
  • Author(s): 真正粘菌変形体の環境適応行動の数理モデル
  • Journal Title: 数理解析研究所講究録 Volume: 1751 Pages: 109-112
• [Journal Article] 真正粘菌変形体の環境適応行動の数理モデル (2011)
  • Author(s): 上田肇一
  • Journal Title: 数理解析研究所講究録 Volume: 1751 Pages: 109-112
• [Journal Article] Mathematical model for contemplative amoeboid locomotion (2011)
  • Author(s): Kei-Ichi Ueda
  • Journal Title: Physical Review E Volume: 83
  • Peer Reviewed
• [Journal Article] Pinned fronts in heterogeneous media of jump type (2010)
  • Author(s): P.van Heijster, A.Doelman, T.J.Kaper, Y.Nishiura, K.-I.Ueda
  • Journal Title: Nonlinearity Volume: Vol.24 Issue: 1 Pages: 127-157
  • DOI: 10.1088/0951-7715/24/1/007
  • Peer Reviewed
• [Journal Article] Numerical approach to transient dynamics of oscillatory pulses in abistable reaction-diffusion system (2010)
  • Author(s): M. Nagayama, K. Ueda and M. Yadome
  • Journal Title: Japan Journal of Industrial and Applied Mathematics Volume: Vol.27, Issue 2 Issue: 2 Pages: 295-322
  • DOI: 10.1007/s13160-010-0015-8
  • Peer Reviewed
• [Journal Article] Chaotic motion of propagating pulses in the Gray-Scott model
  • Author(s): Masaaki Yadome
  • Journal Title: Physical Review E Volume: (掲載確定)
  • Peer Reviewed
• [Presentation] 自己修復機能を有するループ探索システム (2013)
  • Author(s): 上田肇一
  • Organizer: 非線形現象の数値シミュレーションと解析2013
  • Place of Presentation: 北海道大学理学部
  • Year and Date: 2013-03-09
• [Presentation] 自己修復機能を有するループ探索システム (2012)
  • Author(s): 上田肇一
  • Organizer: 応用数学合同研究集会
  • Place of Presentation: 龍谷大学
  • Year and Date: 2012-12-21
• [Presentation] A mathematical model of state-dependent phase resetting properties of alpha rhythm in the human brain (2012)
  • Author(s): Keiichi Ueda, Yasumasa Nishiura, Yoko Yamaguchi and Keiichi Kitajo
  • Organizer: Dynamic Brain Forum
  • Place of Presentation: hotel El Parador, Carmona, スペイン
  • Year and Date: 2012-09-04
• [Presentation] 真正粘菌変形体の環境適応行動に対する数理モデル (2012)
  • Author(s): 上田肇一, 高木清二, 中垣俊之
  • Organizer: 日本数学会年会
  • Place of Presentation: 東京理科大学
  • Year and Date: 2012-03-29
• [Presentation] A mathematical model of state-dependent phase resetting properties of alpha rhythm in the human brain (2012)
  • Author(s): Kei-Ichi Ueda
  • Organizer: Dynamic Brain Forum
  • Place of Presentation: hotel El Parador, Carmona, Spain
• [Presentation] Mathematical Model for Contemplative Amoeboid Locomotion (2011)
  • Author(s): Keiichi Ueda
  • Organizer: 7thInternational Conference on Industrial and Applied Mathematics
  • Place of Presentation: Vancouver Convention Centre, カナダ
  • Year and Date: 2011-07-18
• [Presentation] Mathematical Model for Contemplative Amoeboid Locomotion (2011)
  • Author(s): Kei-Ichi Ueda
  • Organizer: 7th International Conference on Industrial and Applied Mathematics
  • Place of Presentation: Vancouver Convention Centre
  • Year and Date: 2011-07-18
• [Presentation] 真正粘菌変形体にみられる外部刺激に対する情報処理 (2010)
  • Author(s): 上田肇一, 高木清二, 中垣俊之
  • Organizer: 2010 年度 応用数学合同研究集会
  • Place of Presentation: 龍谷大学
  • Year and Date: 2010-12-18
• [Presentation] 真正粘菌変形体にみられる外部刺激に対する情報処理 (2010)
  • Author(s): 上田肇一
  • Organizer: 2010年度応用数学合同研究集会
  • Place of Presentation: 龍谷大学
  • Year and Date: 2010-12-18
• [Presentation] Behavior of a true slime mold crossing an environmental barrier (2010)
  • Author(s): Keiichi Ueda, Seiji Takagi, Toshiyuki Nakagaki and Yasumasa Nishiura
  • Organizer: Statistical Physics and Biology of Collective Motion, International Workshop -
  • Place of Presentation: Max-Planck-Institut fur Physik komplexer Systeme, Dresden, ドイツ
  • Year and Date: 2010-11-08
• [Presentation] Behavior of a true slime mold crossing an environmental barrier (2010)
  • Author(s): Kei-Ichi Ueda
  • Organizer: Statistical Physics and Biology of Collective Motion, International Workshop
  • Place of Presentation: Max-Planck-Institut fur Physik komplexer Systeme, Dresden, Germany
  • Year and Date: 2010-11-08
• [Presentation] 真正粘菌変形体にみられる環境適応性 (2010)
  • Author(s): 上田肇一, 高木清二, 中垣俊之, 西浦廉政
  • Organizer: 日本応用数理学会2010年度年会
  • Place of Presentation: 明治大学
  • Year and Date: 2010-09-08
• [Presentation] 真正粘菌変形体にみられる環境適応性 (2010)
  • Author(s): 上田肇一
  • Organizer: 応用数理学会
  • Place of Presentation: 明治大学
  • Year and Date: 2010-09-08