Mathematical aspects of the quantum field theory and its applications
| Project/Area Number |
15H06453
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Kagawa University |
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Principal Investigator |
Fuji Hiroyuki 香川大学, 教育学部, 准教授 (50391719)
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| Research Collaborator |
Andersen Jørgen Ellegaard
Penner Robert C.
Sułkowski Piotr
Reidys Christian M.
Manabe Masahide
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| Project Period (FY) |
2015-08-28 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 行列模型 / RNA / 位相的漸化式 / ファットグラフ / ランダム行列模型 / RNA行列模型 / コード図形 / タンパク質行列模型 / 分子生物学 |
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| Outline of Final Research Achievements |
Mathematical aspects of the quantum field theory and its applications to the molecular biology has been studied in this research project. We applied fatgraphs and random matrix model techniques to the geometric study of Ribonucleic Acid (RNA).
The fatgraph is the one dimensional oriented graph utilized widely in geometry, topology, representation theory and quantum field theory. The fatgraph is also useful to describe geometric and topological characterizations of the biohighpolymers such as proteins and RNAs. In this research, we introduced a novel kind of combinatorial parameters referred to "boundary length and point spectrum" which enables us to characterize the secondary structure of RNAs including pseudoknot structures.
We constructed a matrix model for RNAs. Using this model, one can enumerate the number of fatgraphs with the fixed type of the boundary length and point spectrum, and this enumerative model would be useful to understand statistical behaviors in RNA databases.
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Report
(3 results)
Research Products
(16 results)
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[Journal Article] Partial chord diagrams and matrix models2017
Author(s)
Jorgen Ellegaard Andersen, Hiroyuki Fuji, Masahide Manabe, Robert C. Penner, and Piotr Sulkowski
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Journal Title
Travaux Mathematiques
Volume: 25
Pages: 233-283
Related Report
Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
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