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Mathematical approach to the bacterial colony pattern formation by the introduction of the many particles model

Research Project

Project/Area Number 22654012
Research Category

Grant-in-Aid for Challenging Exploratory Research

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

Principal Investigator

NAGAYAMA Masaharu  金沢大学, 数物科学系, 教授 (20314289)

Co-Investigator(Renkei-kenkyūsha) NAGAO Hidemi  金沢大学, 数物科学系, 教授 (30291892)
MATSUSHITA Mitsugu  中央大学, 理工学部, 教授 (20091746)
KITAHATA Hiroyuki  千葉大学, 理学研究科, 准教授 (20378532)
Project Period (FY) 2010 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥2,500,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywords反応拡散系 / 粒子運動モデル / モロフォロジーダイアグラム / 数理モデル / 同心円パターン / イーデンパターン / 反応拡散モデル / 非線形拡散モデル / 応用数学
Research Abstract

We studied the problem of pattern formation by the approach from a continuous model and a particle model to reproduce the morphology diagram of bacterial colonies pattern formation by mathematical models. We were able to reproduce five kinds of patterns in the continuous models with non-linear diffusion term, but were not able to completely reproduce the morphology diagram. In addition, we built the many particles model in continuous field with the possibility of the reproduction of the morphology diagram.

Report

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

    (5 results)

All 2010 Other

All Presentation (3 results) Remarks (2 results)

  • [Presentation] バクテリアコロニーのパターン形成に対する数理モデル2010

    • Author(s)
      藤部裕太,井倉弓彦,長山雅晴
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀県)
    • Year and Date
      2010-12-17
    • Related Report
      2011 Final Research Report
  • [Presentation] バクテリアコロニーの数理モデル2010

    • Author(s)
      井倉弓彦,藤部裕太,長山雅晴
    • Organizer
      日本応用数理学会
    • Place of Presentation
      明治大学(東京都)
    • Year and Date
      2010-09-07
    • Related Report
      2011 Final Research Report
  • [Presentation] バクテリアコロニーの数理モデル2010

    • Author(s)
      井倉弓彦
    • Organizer
      日本応用数理学会
    • Place of Presentation
      明治大学(東京)(ポスター講演)
    • Year and Date
      2010-09-07
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://blossom1.s.kanazawa-u.ac.jp/

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://blossoml.s.kanazawa-u.ac.jp/

    • Related Report
      2010 Annual Research Report

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Published: 2010-08-23   Modified: 2016-04-21  

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