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C. Tsitouras, “A Tenth Order Sympletic Runge-Kutta-Nystrom Method,” Celestial Mechanics and Dynamical Astronomy, Vol. 74, No. 4, 1999, pp. 223-230. doi:10.1023/A:1008346516048

has been cited by the following article:

• TITLE: Analysis of Lattice Size, Energy Density and Denaturation for a One-Dimensional DNA Model

  AUTHORS: Gabriel Gouvea Slade, Natalia Favaro Ribeiro, Elso Drigo Filho, Jose Roberto Ruggiero

  KEYWORDS: DNA Mechanical Model; Peyrard-Bishop Model; Lattice Size; Thermal Denaturation

  JOURNAL NAME: World Journal of Mechanics, Vol.2 No.2, April 26, 2012

  ABSTRACT: There are several mechanical models to describe the DNA phenomenology. In this work the DNA denaturation is studied under thermodynamical and dynamical point of view using the well known Peyrard-Bishop model. The thermodynamics analysis using the transfer integral operator method is briefly reviewed. In particular, the lattice size is discussed and a conjecture about the minimum energy to denaturation is proposed. In terms of the dynamical aspects of the model, the equations of motion for the system are integrated and the results determine the energy density where the denatura- tion occurs. The behavior of the lattice near the phase transition is analyzed. The relation between the thermodynamical and dynamical results is discussed.