Sharp DNA denaturation in a helicoidal mesoscopic model
arXiv:1910.07614 · doi:10.1016/j.cplett.2020.137781
Abstract
The Peyrard-Bishop DNA model describes the molecular interactions with simple potentials which allow efficient calculations of melting temperatures. However, it is based on a Hamiltonian that does not consider the helical twist or any other relevant molecular dimensions. Here, we start from a more realistic 3D model and work out several approximations to arrive at a new non-linear 1D Hamiltonian with a twist angle dependence. Our approximations were numerically compared to full 3D calculations, and established its validity in the regime of small angles. For long DNA sequences we obtain sharp, first-order-like melting, transitions.
16 pages, 5 figures, supplementary information, text review and correction of equations
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