F. A. Castro, O. Rodriguez and J. D. T. Arruda-Neto. “Present Status of Radiation Interaction with DNA- Strand-Break Cross-Section and Fragment-Size Distributions,” Radiation Effects and Defects in Solids, Vol. 162, No. 3-4, 2007, pp. 237-245. doi:10.1080/10420150601134616

has been cited by the following article:

• TITLE: Nonextensivity and Tsallis Entropy in DNA Fragmentation Patterns by Ionizing Radiation

  AUTHORS: Carlos Antonio Marante Valdés, Fidel Antonio Castro Smirnov, Oscar Rodríguez Hoyos, João Dias de Toledo Arruda-Neto

  KEYWORDS: Nonextensive Statistics; Tsallis Entropy; DNA Fragment Distribution; Theoretical Distribution; Fragment Minimum Length; DNA Data Analysis

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.6, June 21, 2012

  ABSTRACT: Nonextensive statistical mechanics as in Tsallis formalism was used in this study, along with the dynamical Hamiltonian rod-like DNA model and the maximum entropy criteria for Tsallis’ entropy, so as to obtain length distribution of plasmid fragments, after irradiation with very high doses, assuming that the system reaches metaequilibrium. By intensively working out the Grand Canonical Ensemble (used to take into account the variation of the number of base pairs) a simplified expression for Fragment Size Distribution Function (FSDF) was obtained. This expression is dependent on two parameters only, the Tsallis q value and the minimal length of the fragments. Results obtained from fittings to available experimental data were adequate and the characteristic behavior of the shortest fragments was clearly documented and reproduced by the model, a circumstance never verified from theoretical distributions. The results point to the existence of an entropy which characterizes fragmentation processes and depending only on the q entropic index.