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DNA toroidal bundles form upon condensation of one or multiple DNA filaments.DNA filaments in toroidal bundles are hexagonally packed, and collectivelytwist around the center line of the toroid. In a previous study, we and ourcoworkers argue that the filaments' curvature locally correlates with theirdensity in the bundle, with the filaments less closely packed where theircurvature appears to be higher. We base our claim on the assumption that twisthas a negligible effect on the local curvature of filaments in DNA toroids.However, this remains to be proven. We fill this gap here, by calculating thedistribution of filaments' curvature in a geometric model of twisted toroidalbundle, which we use to describe DNA toroids by an appropriate choice ofparameters. This allows us to substantiate our previous study and suggestdirections for future experiments.

Twist-induced local curvature of filaments in DNA toroids