Geodesic
The peculiarities of polaron motion in the molecular polynucleotide chains of finite length in the presence of localized excitations in the chain
Matematičeskaâ biologiâ i bioinformatika, Tome 12 (2017) no. 1, pp. 204-224.

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The numerical experiments which demonstrate the possibility of polaron charge transfer in a homogeneous finite unclosed G/C DNA chain due to the interaction with localized excitations have been carried out in the absence of an electric field. As a model, which describes the dynamics of a DNA molecule, was considered the Peyrard–Bishop–Holstein model. It is shown that, depending on the parameters of the selected initial excitations and on the parameters of the chain, the polaron can move over long distances (about a thousand sites). It is also shown that the ability of a polaron to move and the character of this movement significantly depend on the relative positions of the polaron and the selected localized excitations. 
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A. N. Korshunova; V. D. Lakhno. The peculiarities of polaron motion in the molecular polynucleotide chains of finite length in the presence of localized excitations in the chain. Matematičeskaâ biologiâ i bioinformatika, Tome 12 (2017) no. 1, pp. 204-224. http://geodesic.mathdoc.fr/item/MBB_2017_12_1_a9/

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