Non-linear dynamics, chaos and phase transitions in DNA molecule
by Tijana T. Ivancevic, Lakhmi C. Jain
International Journal of Medical Engineering and Informatics (IJMEI), Vol. 2, No. 2, 2010

Abstract: DNA molecule is a complex dynamical system consisting of many atoms having a quasi-one-dimensional structure. In this paper, we first review non-linear Hamiltonian DNA dynamics in the form of several Peyrard-Bishoptype DNA models. Then, we explore Hamiltonian chaos and thermodynamical phase transitions related to Hamiltonian DNA dynamics. These second-order phase transitions are shown to have topological origin, rooted in the geometry of the DNA configuration manifold.

Online publication date: Mon, 08-Feb-2010

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