Title: Non-linear dynamics, chaos and phase transitions in DNA molecule

Authors: Tijana T. Ivancevic, Lakhmi C. Jain

Addresses: School of Electrical and Information Engineering, University of South Australia, Mawson Lakes Boulevard, Mawson Lakes, 5095, South Australia, Australia. ' School of Electrical and Information Engineering, University of South Australia, Mawson Lakes Boulevard, Mawson Lakes, 5095, South Australia, Australia

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.

Keywords: nonlinear DNA dynamics; Peyrard-Bishop-type models; Hamiltonian chaos; topological phase transitions; nonlinear dynamics; thermodynamics; DNA configuration manifold.

DOI: 10.1504/IJMEI.2010.031517

International Journal of Medical Engineering and Informatics, 2010 Vol.2 No.2, pp.151 - 162

Published online: 08 Feb 2010 *

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