Pattern dynamics in dissipative systems and their related topics

• Project/Area Number: 22540131
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Kobe University
• Principal Investigator: KUWAMURA Masataka 神戸大学, 人間発達環境学研究科, 教授 (30270333)
• Co-Investigator(Renkei-kenkyūsha): OGAWA Toshiyuki 明治大学, 総合数理学部, 教授 (80211811)
• Project Period (FY): 2010-04-01 – 2014-03-31
• Project Status: Completed (Fiscal Year 2013)
• Budget Amount: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
• Keywords: 散逸系 / パターン / ハミルトン構造 / 微分方程式 / prey-predator / dormancy / population dynamics / stem cell / proliferation / differentiation

Research Abstract

We investigated properties of solutions of prey-predator system with dormant predators. Moreover, we proposed a mathematical model for the differentiation and proliferation of Drosophila intestinal stem cells.

Research Products

• [Journal Article] Mathematical modelling and experiments for the proliferation and differentiation of Drosophila intestinal stem cells II (2012)
  • Author(s): M. Kuwamura, K. Maeda and T. Adachi-Yamada
  • Journal Title: Journal of Biological Dynamics Volume: vol.6 Pages: 267-276
  • Peer Reviewed
• [Journal Article] Mathematical modelling and experiments for the proliferation and differentiation of Drosophila intestinal stem cells II (2012)
  • Author(s): M.Kuwamura, K.Maeda, T.Adachi-Yamada
  • Journal Title: Journal of Biological Dynamics Volume: 6 Issue: 2 Pages: 267-276
  • DOI: 10.1080/17513758.2011.560290
  • Peer Reviewed
• [Journal Article] Implications of resting eggs of zooplankton for the paradox of enrichment (2011)
  • Author(s): T. Nakazawa, M. Kuwamura and N. Yamamura
  • Journal Title: Population Ecology Volume: vol.53 Pages: 341-350
  • NAID: 10027788285
  • Peer Reviewed
• [Journal Article] Dormancy of predators dependent on the rate of variation in prey density (2011)
  • Author(s): M. Kuwamura and T. Nakazawa
  • Journal Title: SIAM Journal on Applied Mathematics Volume: vol.71 Pages: 169-179
  • Peer Reviewed
• [Journal Article] Dormancy of predators dependent on the rate of variation in prey density (2011)
  • Author(s): Masataka Kuwamura, Takefumi Nakazawa
  • Journal Title: SIAM Journal on Applied Mathematics Volume: 71 Pages: 169-179
  • Peer Reviewed
• [Journal Article] Mathematical modelling and experiments for the proliferation and differentiation of Drosophila intestinal stem cells I (2010)
  • Author(s): M. Kuwamura, K. Maeda and T. Adachi-Yamada
  • Journal Title: Journal of Biological Dynamics Volume: vol.4 Pages: 248-257
  • Peer Reviewed
• [Journal Article] Mathematical modelling and experiments for the proliferation and differentiation of Drosophila intestinal stem cells I (2010)
  • Author(s): M.Kuwamura, K.Maeda, T.Adachi-Yamada
  • Journal Title: J.Biol.Dyns. Volume: 4 Pages: 248-257
  • Peer Reviewed
• [Presentation] 捕食者の休眠を伴うprey-predator系に現れるTuring patternについて (2013)
  • Author(s): 桑村雅隆
  • Organizer: 2013年日本数学会秋期総合分科会
  • Place of Presentation: 愛媛大学
  • Year and Date: 2013-09-27
• [Presentation] 捕食者の休眠を伴うprey-predator系に現れるTuring patternについて (2013)
  • Author(s): 桑村雅隆
  • Organizer: 日本数学会秋期総合分科会
  • Place of Presentation: 愛媛大学
• [Presentation] ショウジョウバエの中腸幹細胞の増殖と分化について (2012)
  • Author(s): 桑村雅隆
  • Organizer: 日本応用数理学会2012年度年会
  • Place of Presentation: 稚内全日空ホテル
  • Year and Date: 2012-08-30
• [Presentation] ショウジョウバエの中腸幹細胞の増殖と分化について (2012)
  • Author(s): 桑村雅隆
  • Organizer: 日本応用数理学会２０１２年度年会
  • Place of Presentation: 稚内全日空ホテル
• [Presentation] Dormancy of predators in prey-predator systems (2011)
  • Author(s): M. Kuwamura
  • Organizer: The 7th East Asia SIAM Conference
  • Place of Presentation: 早稲田大学北九州キャンパス
  • Year and Date: 2011-06-28
• [Presentation] Dormancy of predators in prey-predator systems (2011)
  • Author(s): Masataka Kuwamura
  • Organizer: The 7th East Asia SIAM Conference
  • Place of Presentation: 早稲田大学北九州キャンパス(福岡県)
  • Year and Date: 2011-06-28
• [Presentation] Dormancy of predators dependent on the rate of variation in the prey Density (2010)
  • Author(s): 桑村雅隆、仲澤剛史
  • Organizer: 第20回日本数理生物学会大会
  • Place of Presentation: 北海道大学(北海道)
  • Year and Date: 2010-09-15
• [Presentation] Dormancy of predators dependent on the rate of variation in the prey density (2010)
  • Author(s): 桑村雅隆、仲澤剛史
  • Organizer: 第20回日本数理生物学会大会
  • Place of Presentation: 北海道大学(北海道)
  • Year and Date: 2010-09-15
• [Book] パターン形成－平衡点の分岐理論の応用として－ (2014)
  • Author(s): 桑村雅隆
  • Total Pages: 210
  • Publisher: 共立出版
• [Remarks]
  • URL: http://wwwmain.h.kobe-u.ac.jp/~kuwamura/kuwaj.html
• [Remarks]
  • URL: http://wwwmain.h.kobe-u.ac.jp./~kuwamura/kuwaj.html