The open quantum systems (OQS) approach employed in this study is based on Caldeira and Leggett's quantum Brownian Motion model in which the protons in the hydrogen bonds are embedded in an Ohmic bath of quantum oscillators, which represent the cellular environment. The interactions between the DNA and the environment are integrated over time using the path integral formalism introduced by Feynman and Vernon. The equivalent phase-space version is given by the Wigner-Moyal Caldeira and Leggett equation (WM-CL),