| Project/Area Number |
22654016
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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 | Kyushu University (2011-2012)
Hiroshima University (2010) |
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Principal Investigator |
HIRAOKA Yasuaki 九州大学, マスフォアインダストリ研究所, 准教授 (10432709)
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| Co-Investigator(Kenkyū-buntansha) |
IZUMI Shunsuke 広島大学, 数理分子生命理学専攻, 教授 (90203116)
ONISHI Isamu 広島大学, 数理分子生命理学専攻, 准教授 (30262372)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,590,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | タンパク質 / 圧縮率 / パーシステントホモロジー群 / アルファ複体 / 最小生成元 / Wasserstein距離 / パーシステント・ホモロジー群 / ホモロジー群 |
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| Research Abstract |
In this research, we developed some approaches based on algebraic topology to several problems of protein structure analysis. We succeeded in developing a new quantification of protein compressibility by using data in Protein Data Bank. The key tool is persistent homology and persistent diagrams, which enable us to detect information on cavities with certain properties. In addition, we also proposed a technique to classify proteins from their geometric structure by means of distance functions on persistent diagrams.
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