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@article{MBB_2011_6_a7, author = {D. A. Tikhonov and E. V. Sobolev and V. D. Lakhno and N. S. Fialko}, title = {Adiabatic approximation for the calculation of the charge mobility in the {DNA} {Holstein} model}, journal = {Matemati\v{c}eska\^a biologi\^a i bioinformatika}, pages = {264--272}, publisher = {mathdoc}, volume = {6}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MBB_2011_6_a7/} }
TY - JOUR AU - D. A. Tikhonov AU - E. V. Sobolev AU - V. D. Lakhno AU - N. S. Fialko TI - Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model JO - Matematičeskaâ biologiâ i bioinformatika PY - 2011 SP - 264 EP - 272 VL - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MBB_2011_6_a7/ LA - ru ID - MBB_2011_6_a7 ER -
%0 Journal Article %A D. A. Tikhonov %A E. V. Sobolev %A V. D. Lakhno %A N. S. Fialko %T Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model %J Matematičeskaâ biologiâ i bioinformatika %D 2011 %P 264-272 %V 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/MBB_2011_6_a7/ %G ru %F MBB_2011_6_a7
D. A. Tikhonov; E. V. Sobolev; V. D. Lakhno; N. S. Fialko. Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model. Matematičeskaâ biologiâ i bioinformatika, Tome 6 (2011), pp. 264-272. http://geodesic.mathdoc.fr/item/MBB_2011_6_a7/
[1] Lakhno V.D., “DNA nanobioelectronics”, International Journal of Quantum Chemistry, 108 (2008), 1970–1981 <ext-link ext-link-type='doi' href='https://doi.org/10.1002/qua.21717'>10.1002/qua.21717</ext-link>
[2] Nanobioelectronics – for Electronics, Biology, and Medicine, eds. Offenhäusser A., Rinaldi R., Springer, New York, 2009, 337 pp.
[3] Lakhno V.D., Fialko N.S., “Podvizhnost dyrok v odnorodnoi nukleotidnoi tsepochke”, Pisma v ZhETF, 78 (2003), 786–788
[4] Fialko N.S., Lakhno V.D., “Nonlinear dynamics of excitations in DNA”, Physics Letters A, 278 (2000), 108–111 <ext-link ext-link-type='doi' href='https://doi.org/10.1016/S0375-9601(00)00755-6'>10.1016/S0375-9601(00)00755-6</ext-link>
[5] Holstein T., “Studies of polaron motion: Part I. The molecular-crystal model”, Annals of Physics, 8 (1959), 325–342 <ext-link ext-link-type='doi' href='https://doi.org/10.1016/0003-4916(59)90002-8'>10.1016/0003-4916(59)90002-8</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0173.30404'>0173.30404</ext-link>
[6] Komineas S., Kalosakas G., Bishop A.R., “Effects of intrinsic base-pair fluctuations on charge transport in DNA”, Physical Review E, 65 (2002), 061905 <ext-link ext-link-type='doi' href='https://doi.org/10.1103/PhysRevE.65.061905'>10.1103/PhysRevE.65.061905</ext-link>
[7] Lakhno V.D., Fialko N.S., Dinamicheskie modeli protsessov v kletkakh i subkletochnykh strukturakh, eds. Riznichenko G.Yu., Rubin A.B., NITs Regulyarnaya i khaoticheskaya dinamika, M.–Izhevsk, 2010, 11–67
[8] Voityuk A.A., Rösch N., Bixon M., Jortner J., “Electronic Coupling for Charge Transfer and Transport in DNA”, The Journal of Physical Chemistry B, 104 (2000), 9740–9745 <ext-link ext-link-type='doi' href='https://doi.org/10.1021/jp001109w'>10.1021/jp001109w</ext-link>
[9] Jortner J., Bixon M., Voityuk A.A., Rösch N., “Superexchange Mediated Charge Hopping in DNA”, The Journal of Physical Chemistry A, 106 (2002), 7599–7606 <ext-link ext-link-type='doi' href='https://doi.org/10.1021/jp014232b'>10.1021/jp014232b</ext-link>
[10] Lewis F.D., Wu Y., “Dynamics of superexchange photoinduced electron transfer in duplex DNA”, Journal of Photochemistry and Photobiology C: Photochemistry Reviews, 2 (2001), 1–16 <ext-link ext-link-type='doi' href='https://doi.org/10.1016/S1389-5567(01)00008-9'>10.1016/S1389-5567(01)00008-9</ext-link>
[11] Lakhno V.D., “Davydov's solitons in homogeneous nucleotide chain”, International Journal of Quantum Chemistry, 110 (2010), 127–137 <ext-link ext-link-type='doi' href='https://doi.org/10.1002/qua.22264'>10.1002/qua.22264</ext-link>
[12] Greenside H.S., Helfand E., “Numerical integration of stochastic differential equations II”, Bell System Technical Journal, 60 (1981), 1927–1940 <ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0464.65101'>0464.65101</ext-link>
[13] Magnus W., “On the exponential solution of differential equations for a linear operator”, Communications on Pure and Applied Mathematics, 7 (1954), 649–673 <ext-link ext-link-type='doi' href='https://doi.org/10.1002/cpa.3160070404'>10.1002/cpa.3160070404</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=67873'>67873</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0056.34102'>0056.34102</ext-link>
[14] Del Buono N., Lopez L., “A survey on methods for computing matrix exponentials in numerical schemes for ODEs”, Computational Science – ICCS 2003, eds. Sloot P., Abramson D., Bogdanov A., Gorbachev Y., Dongarra J., Zomaya A., Springer, Berlin/Heidelberg, 2003, 111–120 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=2088388'>2088388</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:1147.65308'>1147.65308</ext-link>
[15] Gallopoulos G., Saad Y., “Efficient solution of parabolic equations by Krylov approximation methods”, SIAM Journal on Scientific and Statistical Computing, 13 (1992), 1236–1264 <ext-link ext-link-type='doi' href='https://doi.org/10.1137/0913071'>10.1137/0913071</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=1177807'>1177807</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0757.65101'>0757.65101</ext-link>
[16] Lu Y.Y., Exponentials of Symmetric Matrices through Tridiagonal Reductions URL: (data obrascheniya: 15.11.2011) <ext-link ext-link-type='uri' href='http://math.cityu.edu.hk/~mayylu/papers/matexp.pdf'>http://math.cityu.edu.hk/~mayylu/papers/matexp.pdf</ext-link>
[17] Fialko N.V., Perenos zaryada v DNK. Chislennoe modelirovanie protsessov perenosa zaryada v diskretnykh molekulyarnykh tsepochkakh, Lambert Academic Publishing, Saarbrucken, Germany, 2010, 93 pp.
[18] Lakhno V.D., Sultanov V.B, “O vozmozhnosti sverkhbystrogo perenosa zaryada v DNK”, Matematicheskaya biologiya i bioinformatika, 4 (2009), 46–51 ; URL: (дата обращения: 15.11.2011) <ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:1190.90289'>1190.90289</ext-link><ext-link ext-link-type='uri' href='http://www.matbio.org/downloads/Lakhno2009(4_46).pdf'>http://www.matbio.org/downloads/Lakhno2009(4_46).pdf</ext-link>