# A GENERALIZED 4-STRING SOLUTION TANGLE OF DNA-PROTEIN COMPLEXES

• Kim, Soo-Jeong (DEPARTMENT OF APPLIED MATHEMATICAL AND COMPUTATIONAL SCIENCES, UNIVERSITY OF IOWA)
• Accepted : 2011.06.24
• Published : 2011.09.23

#### Abstract

An n-string tangle is a three dimensional ball with n strings properly embedded in it. A tangle model of a DNA-protein complex is first introduced by C. Ernst and D. Sumners in 1980's. They assumed the protein bound DNA as strings and the protein as a three dimensional ball. By using a tangle analysis, one can predict the topology of DNA within the complex. S.Kim and I. Darcy developed the biologically reasonable 4-string tangle equations and decided a solution tangle, called R-standard tangle. The author discussed more about the simple solution tangles of the equations and found a generalized R-standard tangle solution.

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