2012 Fiscal Year Final Research Report

Algebraic Topological Approaches to Protein Structure Analysis

Research Project

Project/Area Number	22654016
Research Category	Grant-in-Aid for Challenging Exploratory Research
Allocation Type	Single-year Grants
Research Field	General mathematics (including Probability theory/Statistical mathematics)
Research Institution	Kyushu 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.

(4 results)