DNA bending energy (source code)

= DNA bending energy
{c}
{title2=$G_b=\frac{k_BT l_p}{2}\int\kappa^2\,d\ell$}

The curvature-dependent <elastic energy> of a semiflexible <DNA> <polymer> in the isotropic <worm-like chain> model. Here $l_p$ is the <persistence length>, $\kappa$ the curvature and $\ell$ the <polymer contour length>. A complete circular loop of radius $R$ costs $\pi k_BT l_p/R$, obtained by integrating constant curvature $1/R$ over length $2\pi R$.