Mathematical approach to the bacterial colony pattern formation by the introduction of the many particles model
| Project/Area Number |
22654012
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kanazawa University |
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Principal Investigator |
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| 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)
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| Project Period (FY) |
2010 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| 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)
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| 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 |
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| 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.
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Report
(3 results)
Research Products
(5 results)
