Influences of flexible defect on the interplay of supercoiling and knotting of circular DNA*

Caiyun Xiong,Xiaolin Nie,Yixue Peng,Xun Zhou,Yangtao Fan,Hu Chen,Yanhui Liu

Table 1. The equilibrium distribution probability of knots with 800 nm in length at different excited energy μ. ∑ indicates the summation of the equilibrium distribution probability of the nontrivial knotted DNA at different excitation energy μ.

knot type K μ = 4 μ = 6 μ = 8 μ = 10 μ = ∞ 01 0.993 452 0.982 434 0.992 174 0.996 545 0.997 500 31 0.005 723 0.015 284 0.007 259 0.003 257 0.002 444 41 0.000 049 0.001 439 0.000 336 0.000 099 0.000 056 51 0.000 000 0.000 298 0.000 142 0.000 000 0.000 000 52 0.000 776 0.000 248 0.000 089 0.000 000 0.000 016 ∑ 0.006 548 0.017 566 0.007 826 0.003 355 0.002 500