Russian version English version
Volume 6   Issue 2   Year 2011
References

  1. Lakhno VD. DNA nanobioelectronics. International Journal of Quantum Chemistry. 2008;108:1970-1981. doi: 10.1002/qua.21717
  2. Nanobioelectronics – for Electronics, Biology, and Medicine. Offenhäusser A, Rinaldi R Eds. New York: Springer, 2009:337.
  3. Lakhno VD, Fialko NS. Hole mobility in a homogeneous nucleotide chain. JETP Letters. 2003;78:336-338. doi: 10.1134/1.1625737
  4. Fialko NS, Lakhno VD. Nonlinear dynamics of excitations in DNA. Physics Letters A. 2000;278:108-111. doi: 10.1016/S0375-9601(00)00755-6
  5. Holstein T. Studies of polaron motion: Part I. The molecular-crystal model. Annals of Physics. 1959;8:325-342. doi: 10.1016/0003-4916(59)90002-8
  6. Komineas S, Kalosakas G, Bishop AR. Effects of intrinsic base-pair fluctuations on charge transport in DNA. Physical Review E. 2002;65:061905. doi: 10.1103/PhysRevE.65.061905
  7. Lakhno VD, Fialko NS. In: Dinamicheskie modeli processov v kletkah i subkletochnyh strukturah (Dynamical Models of Processes in Cells and Subcellular Structures). Riznichenko GYu, Rubin AB Eds. Moscow – Izhevsk: SPC Regular and Chaotic Dynamics, 2010:11-67 (in Russ.).
  8. Voityuk AA, Rösch N, Bixon M, Jortner J. Electronic Coupling for Charge Transfer and Transport in DNA. The Journal of Physical Chemistry B. 2000;104:9740-9745. doi: 10.1021/jp001109w
  9. Jortner J, Bixon M, Voityuk AA, Rösch N. Superexchange Mediated Charge Hopping in DNA. The Journal of Physical Chemistry A. 2002;106:7599-7606. doi: 10.1021/jp014232b
  10. Lewis FD, Wu Y. Dynamics of superexchange photoinduced electron transfer in duplex DNA. Journal of Photochemistry and Photobiology C: Photochemistry Reviews. 2001;2:1-16. doi: 10.1016/S1389-5567(01)00008-9
  11. Lakhno VD. Davydov's solitons in homogeneous nucleotide chain. International Journal of Quantum Chemistry. 2010;110:127-137. doi: 10.1002/qua.22264
  12. Greenside HS, Helfand E. Numerical integration of stochastic differential equations II. Bell System Technical Journal. 1981;60:1927-1940. doi: 10.1002/j.1538-7305.1981.tb00303.x
  13. Magnus W. On the exponential solution of differential equations for a linear operator. Communications on Pure and Applied Mathematics. 1954;7:649-673. doi: 10.1002/cpa.3160070404
  14. Del Buono N, Lopez L. A survey on methods for computing matrix exponentials in numerical schemes for ODEs. In: Computational Science — ICCS 2003. Sloot P, Abramson D, Bogdanov A, Gorbachev Y, Dongarra J, Zomaya A Eds. Berlin/Heidelberg: Springer, 2003:111-120.
  15. Gallopoulos G, Saad Y. Efficient solution of parabolic equations by Krylov approximation methods. SIAM Journal on Scientific and Statistical Computing. 1992;13:1236-1264. doi: 10.1137/0913071
  16. Lu YY. Exponentials of Symmetric Matrices through Tridiagonal Reductions. Available at: http://math.cityu.edu.hk/~mayylu/papers/matexp.pdf (accessed 15 November 2011).
  17. Fialko NS. Perenos zarjada v DNK. Chislennoe modelirovanie processov perenosa zarjada v diskretnyh molekuljarnyh cepochkah (Charge Transfer in DNA. Numerical Modeling of charge migration in discrete molecular chains). Saarbrucken, Germany: Lambert Academic Publishing, 2010:93 p. (in Russ.).
  18. Lakhno VD, Sultanov VB. On the Possibility of Superfast Charge Transfer in DNA. Mathematical biology and bioinformatics. 2009;4:1-6. doi: 10.17537/2009.4.1.
Table of Contents Original Article
Tikhonov D.A., Sobolev E.V., Lakhno V.D., Fialko N.S. Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model. Ìàthematical biology and bioinformatics. 2011;6(2):264-272. doi: 10.17537/2011.6.264
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