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2012 Fiscal Year Final Research Report

Algebraic Topological Approaches to Protein Structure Analysis

Research Project

  • PDF
Project/Area Number 22654016
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyushu University (2011-2012)
Hiroshima University (2010)

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)

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)
Project Period (FY) 2010 – 2012
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
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.

  • Research Products

    (4 results)

All 2013 2012 Other

All Journal Article (1 results) Presentation (2 results) Book (1 results)

  • [Journal Article] パーシステントホモロジー群--離散データのトポロジカル解析--2013

    • Author(s)
      平岡裕章
    • Journal Title

      COE Lecture Note

      Volume: Vol. 46 Pages: 63-73

  • [Presentation] 計算トポロジーの応用2012

    • Author(s)
      平岡裕章
    • Organizer
      日本鉄鋼協会3D4Dシンポジウム
    • Place of Presentation
      横浜国立大学
    • Year and Date
      20120300
  • [Presentation] パーシステントホモロジー群のタンパク質構造解析への応用2012

    • Author(s)
      平岡裕章
    • Organizer
      2012年度日本数学会年会,応用数学分科会
    • Place of Presentation
      京都大学
    • Year and Date
      2012-03-22
  • [Book] 現象を解明する数学

    • Author(s)
      平岡裕章
    • Publisher
      共立出版 (近刊)

URL: 

Published: 2014-08-29  

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