Before revision:  We generalize this solution to a twistable DNA model with anisotropic bending and twist-bend coupling, and show that the loop shape thus derived is in excellent agreement with simulations of two different coarse-grained DNA models. As recently found for DNA minicircles and observed in nucleosomal DNA data, twist-bend coupling induces twist oscillations in bent DNA. Here, we show that twist waves in DNA loops have a modulated amplitude, which is maximal in the middle of the loop and decaying at the loop edges, following the curvature modulation.
After revision:  We generalize this solution to a twistable DNA model with anisotropic bending and twist-bend coupling, and show that the loop shape thus derived is in excellent agreement with simulations of two different coarse-grained simulations.