Topological tangle modeling of difference topology experiments: tangle analysis of DNA-protein complexes

An n-string tangle is a three dimensional ball with n strings which are properly embedded in it. Topological tangle analysis of DNA-protein complexes based on difference topology experiments are studied for last 30 years. In this paper, A 2-string tangle analysis of DNA-Tn3 complex [5, 6] and a 3-string tangle analysis of DNA-Mu complex [3, 13] and a biologically relevant 4-string tangle analysis [8, 10, 11] is reviewed. And a biologically relevant n-string tangle analysis is introduced.