References
- Englander S.W., Kallenbach N.R., Heeger A.J., Krumhansl J.A., Litwin S. Nature of the open state in long polynucleotide double helices: possibility of soliton excitations. Proc. Natl. Acad. Sci. USA. 1980;77:7222-7226. doi: 10.1073/pnas.77.12.7222
- Yakushevich L.V., Ryasik A.A. Dynamical characteristics of DNA kinks and antikinks. Computer research investigations and modeling. 2012;4(1):209-217.
- Yakushevich L.V., Krasnobaeva L.A., Shapovalov A.V., Quintero N.R. One- and two-soliton solutions for DNA. Biofizika. 2005;50:450-455.
- Salerno M. Discrete model for DNA-promoter dynamics. Phys. Rev. A. 1991;44:5292-5297. doi: 10.1103/PhysRevA.44.5292
- Lennholm E., Hornquist M. Revisiting Salernos sine-Gordon model of DNA: active regions and robustness. Physica D: Nonlinear Phenomena. 2003;177:233-241. doi: 10.1016/S0167-2789(02)00769-8
- Cuenda S., Sanchez A. Nonlinear excitations in DNA: Aperiodic models versus actual genome sequences. Phys. Rev. E. 2004;70(5):051903. doi: 10.1103/PhysRevE.70.051903
- Yakushevich L.V., Krasnobaeva L.A. A new approach to studies of non-linear dynamics of kinks activated in inhomogeneous polynucleotide chains. Int. J. Nonl. Mech. 2008;43:1074-1081. doi: 10.1016/j.ijnonlinmec.2008.05.003
- Grinevich A.A., Ryasik A.A., Yakushevich L.V. The dynamics of polynucleotide chain consisting of two different homogeneous sequences, divided by interface. Computer research and modeling. 2013;5(2):241-254.
- Grinevich A.A., Ryasik A.A., Yakushevich L.V. Trajectories of kinks movement in inhomogeneous potential field of DNA. In: V International Conference on Mathematical Biology and Bioinformatics, ICMBB-V (2010, Pushchino, Russia): Proceedings of the Conference. Moscow: MAKS Press; 2014. P. 34-35.
- Scott A.J. A nonlinear Klein-Gordon equation. Am. Phys. 1969;37:52-61. doi: 10.1119/1.1975404
- Grinevich A.A., Ryasik A.A., Yakushevich L.V, Zakiryaniv F.K. Numerical modeling of nonlinear conformation waves in inhomogeneous sequences of DNA: certificate of registration of the computer program ¹ 2014616737. Russian Federal Service for Intellectual Property (Rospatent), 2014.
|
|
|
