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We study the impact of DNA coiling on the search rate of proteins movingalong the DNA contour interspersed by three-dimensional (3D) bulk excursions.When the DNA is coiled proteins performing short 3D hops along a DNA segmentcan be captured by foreign DNA segments that have looped back close to theoriginal segment. These intersegmental jumps are shown to enhance the searchrate for a specific site on the DNA by lowering the tendency to resamplepreviously visited sites on the DNA. The model developed here offers aquantitative description of recent single molecule experiments on facilitateddiffusion of restriction enzymes EcoRV.

Quantitative approach to facilitated diffusion with intersegmental jumping