V. D. Lakhno, N. S. Fialko, “Long-Range Charge Transfer in DNA”, Regul. Chaotic Dyn., 7:3 (2002), 299

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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 3, Pages 299–313
DOI: https://doi.org/10.1070/RD2002v007n03ABEH000212 (Mi rcd819)

This article is cited in 15 scientific papers (total in 15 papers)

Long-Range Charge Transfer in DNA

V. D. Lakhno, N. S. Fialko

Institute of Mathematical Problems of Biology of RAS, Pushchino, Moscow Region, 142290, Russia

Citations (15)

DOI: https://doi.org/10.1070/RD2002v007n03ABEH000212

Abstract: The paper develops the general theory of excitation transfer dynamics in multi-site systems. The approach we used is based on a quantum-mechanical description and is used for calculating the dynamics of charge transfer in DNA over a long distance. A typical pattern of transfer, involving the possibilities of superexchange and hopping transfer, as well as transfer through excitations of polaron and soliton types, has been obtained from a large number of numerical experiments. The model under examination describes (in some particular cases) the dynamics of neural networks, the population dynamics in mathematical ecology, and evolution of wave packets in non-linear optics. This model can be used in various allied fields.

Received: 09.04.2002

Bibliographic databases:

Document Type: Article

MSC: 58F05, 58F36

Language: English

Citation: V. D. Lakhno, N. S. Fialko, “Long-Range Charge Transfer in DNA”, Regul. Chaotic Dyn., 7:3 (2002), 299–313

Citation in format AMSBIB

\Bibitem{LakFia02}

\by V. D. Lakhno, N. S. Fialko

\paper Long-Range Charge Transfer in DNA

\jour Regul. Chaotic Dyn.

\yr 2002

\vol 7

\issue 3

\pages 299--313

\mathnet{http://mi.mathnet.ru/rcd819}

\crossref{https://doi.org/10.1070/RD2002v007n03ABEH000212}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931720}

\zmath{https://zbmath.org/?q=an:1017.82033}

\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2002RCD.....7..299L}

Linking options:

https://www.mathnet.ru/eng/rcd819

https://www.mathnet.ru/eng/rcd/v7/i3/p299

This publication is cited in the following 15 articles:

G. A. Vinogradov, “Vzaimodeistvie polyarona s lovushkoi. Vliyanie adiabatichnosti”, Matem. biologiya i bioinform., 17:1 (2022), 28–42
Belobo D.B., Koko A.D., “Bright Solitary Waves as Charge Transport in Dna: a Variational Approximation”, Biopolymers, 111:3 (2020), e23346
H. Ngoubi, G. H. Ben-Bolie, T. C. Kofané, “Charge transport in a DNA model with solvent interaction”, J Biol Phys, 44:3 (2018), 483
H. Ngoubi, G. H. Ben-Bolie, T. C. Kofané, “Charge transport in DNA model with vibrational and rotational coupling motions”, J Biol Phys, 43:3 (2017), 341
T.Yu. Astakhova, V.A. Kashin, V.N. Likhachev, G.A. Vinogradov, “Polaron Dynamics on the Nonlinear Lattice in the Su-Schrieffer-Heeger Approximation. Exact and Approximate Solutions”, Acta Phys. Pol. A, 129:3 (2016), 334
D. A. Tikhonov, N. S. Fialko, E. V. Sobolev, V. D. Lakhno, “Scaling of temperature dependence of charge mobility in molecular Holstein chains”, Phys. Rev. E, 89:3 (2014)
V. D. Lakhno, N. S. Fialko, “A polaron in molecular chains with dispersion”, Glass Phys Chem, 37:1 (2011), 51
N. I. Kashirina, V. D. Lakhno, “Large-radius bipolaron and the polaron–polaron interaction”, Phys. Usp., 53:5 (2010), 431–453
Victor D. Lakhno, “Davydov's solitons in a homogeneous nucleotide chain”, Int J of Quantum Chemistry, 110:1 (2010), 127
N. S. Fialko, “Mixed algorithm for modeling of charge transfer in DNA on long time intervals”, Computer Research and Modeling, 2:1 (2010), 63–72
V. D. Lakhno, N. S. Fialko, “Mechanism of soliton stopping in a molecular chain without dispersion”, Computer Research and Modeling, 1:1 (2009), 93–99
Victor D. Lakhno, NATO Science for Peace and Security Series A: Chemistry and Biology, SelfOrganization of Molecular Systems, 2009, 255
N.I. Kashirina, N.I. Kashirina, “Comments on the Series of Works by V.K. Mukhomorov on the Theory of Continual Polaron and Two-Center Bipolaron (Axisymmetrical Quasi-Molecular Dimer)”, Math.Biol.Bioinf., 2:2 (2007), 327
Victor D. Lakhno, Nadezhda S. Fialko, “Hole mobility in (GC)$_n$ polynucleotides”, Mat. Biolog. Bioinform., 1:1 (2006), 8–11
V. D. Lakhno, N. S. Fialko, “Bloch Oscillations in a Homogeneous Nucleotide Chain”, JETP Letters, 79:10 (2004), 464–467

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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