Application of knot theory to molecular biology

2015 Fiscal Year Final Research Report

• Project/Area Number: 25400080
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Geometry
• Research Institution: Saitama University
• Principal Investigator: SHMOKAWA Koya 埼玉大学, 理工学研究科, 教授 (60312633)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 結び目 / DNA / 組換え / バンド手術 / 格子結び目

Outline of Final Research Achievements

We studied band surgeries of knots and links, lattice knots in the simple cubic lattice, Dehn surgery on knots and A-polynomial of knots and applied results to modeling of DNA and proteins and the research of site-specific recombination.
In particular we studied (1)characterization of unlinking of DNA catenane by site-specific recombination of Xer-dif-FtsK system, (2)tangle decomposition of knots and their A-polynomial, (3)lattice knots and links in a tube region in the simple cubic lattice.
We published 4 research papers and give plenary and invited talks in international conferences. We also organized a special session on DNA topology in Australia.

Free Research Field

結び目理論