TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Satarić, Miljko V.
AU  - Parkhomenko, Aleksandr Yu.
AU  - Bugay, Aleksandr N.
PY  - 2018
UR  - http://aip.scitation.org/doi/10.1063/1.5046772
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7940
AB  - Nonlinear dynamics of DNA molecule at segments where DNA-RNA transcription occurs is studied. Our basic idea is that the solitary wave, moving along the chain, transforms into a demodulated one at these segments. The second idea is that the wave becomes a standing one due to interaction with DNA surrounding, e.g., RNA polymerase molecules. We explain why this is biologically convenient and show that our results match the experimental ones. In addition, we suggest how to experimentally determine crucial constant describing covalent bonds within DNA. © 2018 Author(s).
T2  - Chaos
T1  - Demodulated standing solitary wave and DNA-RNA transcription
VL  - 28
IS  - 11
SP  - 113103
DO  - 10.1063/1.5046772
ER  - 

@article{
author = "Zdravković, Slobodan and Satarić, Miljko V. and Parkhomenko, Aleksandr Yu. and Bugay, Aleksandr N.",
year = "2018",
abstract = "Nonlinear dynamics of DNA molecule at segments where DNA-RNA transcription occurs is studied. Our basic idea is that the solitary wave, moving along the chain, transforms into a demodulated one at these segments. The second idea is that the wave becomes a standing one due to interaction with DNA surrounding, e.g., RNA polymerase molecules. We explain why this is biologically convenient and show that our results match the experimental ones. In addition, we suggest how to experimentally determine crucial constant describing covalent bonds within DNA. © 2018 Author(s).",
journal = "Chaos",
title = "Demodulated standing solitary wave and DNA-RNA transcription",
volume = "28",
number = "11",
pages = "113103",
doi = "10.1063/1.5046772"
}

Zdravković, S., Satarić, M. V., Parkhomenko, A. Yu.,& Bugay, A. N.. (2018). Demodulated standing solitary wave and DNA-RNA transcription. in Chaos, 28(11), 113103.
https://doi.org/10.1063/1.5046772

Zdravković S, Satarić MV, Parkhomenko AY, Bugay AN. Demodulated standing solitary wave and DNA-RNA transcription. in Chaos. 2018;28(11):113103.
doi:10.1063/1.5046772 .

Zdravković, Slobodan, Satarić, Miljko V., Parkhomenko, Aleksandr Yu., Bugay, Aleksandr N., "Demodulated standing solitary wave and DNA-RNA transcription" in Chaos, 28, no. 11 (2018):113103,
https://doi.org/10.1063/1.5046772 . .

TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Bugay, Aleksandr N.
AU  - Parkhomenko, Aleksandr Yu.
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1824
AB  - We here present a model of nonlinear dynamics of microtubules using modified extended tanh-function method as a mathematical tool. Interaction between neighbouring dimers belonging to a single protofilament is commonly modelled by a harmonic potential. In this paper, we introduce a more realistic Morse potential energy instead. We obtained three solitary waves as before, when the harmonic potential was used. However, the Morse potential allows transition from the state when elastic term in the expression for total energy is bigger than the inertial one to the state when the inertial potential is bigger. Also, three new solutions were obtained.
T2  - Nonlinear Dynamics
T1  - Application of Morse potential in nonlinear dynamics of microtubules
VL  - 90
IS  - 4
SP  - 2841
EP  - 2849
DO  - 10.1007/s11071-017-3845-y
ER  - 

@article{
author = "Zdravković, Slobodan and Bugay, Aleksandr N. and Parkhomenko, Aleksandr Yu.",
year = "2017",
abstract = "We here present a model of nonlinear dynamics of microtubules using modified extended tanh-function method as a mathematical tool. Interaction between neighbouring dimers belonging to a single protofilament is commonly modelled by a harmonic potential. In this paper, we introduce a more realistic Morse potential energy instead. We obtained three solitary waves as before, when the harmonic potential was used. However, the Morse potential allows transition from the state when elastic term in the expression for total energy is bigger than the inertial one to the state when the inertial potential is bigger. Also, three new solutions were obtained.",
journal = "Nonlinear Dynamics",
title = "Application of Morse potential in nonlinear dynamics of microtubules",
volume = "90",
number = "4",
pages = "2841-2849",
doi = "10.1007/s11071-017-3845-y"
}

Zdravković, S., Bugay, A. N.,& Parkhomenko, A. Yu.. (2017). Application of Morse potential in nonlinear dynamics of microtubules. in Nonlinear Dynamics, 90(4), 2841-2849.
https://doi.org/10.1007/s11071-017-3845-y

Zdravković S, Bugay AN, Parkhomenko AY. Application of Morse potential in nonlinear dynamics of microtubules. in Nonlinear Dynamics. 2017;90(4):2841-2849.
doi:10.1007/s11071-017-3845-y .

Zdravković, Slobodan, Bugay, Aleksandr N., Parkhomenko, Aleksandr Yu., "Application of Morse potential in nonlinear dynamics of microtubules" in Nonlinear Dynamics, 90, no. 4 (2017):2841-2849,
https://doi.org/10.1007/s11071-017-3845-y . .