Nonlinear properties of DNA

The set of papers [38, 40,54], [C1,P10], has been devoted to the propagation of nonlinear excitations on DNA molecules. In [38], a nonlinear model of DNA which accounts for the specificity of the base sequences and which suggests a link between dynamics and functioning of DNA, has been proposed. Using this model the candidate has investigated the dynamical properties of specific bases sequences known as promoters, suggesting a possible role of these in the process of genetic activation. In [54], the dynamical properties are explained in terms of an effective potential for the coordinates of such excitations. In [C1], the dynamics of plasmide pBr322 (a ring of DNA with about 5000 bases) has been studied and the existence of dynamically active sites in the promoter regions has been found, this being in good agreement with experimental results.

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