Figure 1

Cyclization $j$-value for short DNAs. Experimental data [3] are indicated by open circles ($◯$). Theoretical results are shown for the semiflexible polymer model ($\blacksquare$), and for the model of the text with $\mu /k_{B}T=9$ ($▴$), 10 ($▾$), 11 ($•$), and 12 ($▸$). A bubble excitation energy of $11k_{B}T$ produces a large enhancement of the cyclization probability for chains smaller than 200 bp; note that in this short-chain regime, a small change in $\mu$ causes a large change in cyclization probability. Inset sketches indicate the circular and teardrop configurations discussed in the text. The solid line is the empirical formula from 14 for the semiflexible model. Inset shows $j$-value of the semiflexible polymer ($\mu =\infty$) calculated from 150 bp to ${10}^4\mathrm{b}\mathrm{p}$, showing a peak position $\sim 500\mathrm{b}\mathrm{p}$.Reuse & Permissions