TY  - JOUR
AU  - Čevizović, Dalibor
AU  - Chizhov, Alexei V.
AU  - Ivić, Zoran
AU  - Reshetnyak, A.A.
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9158
AB  - In this paper, we investigate the possibility of stable migration of charge carriers over long distances in DNA-like macromolecular structures in the form of an adiabatic soliton and derive the conditions for the formation of solitons. We find two types of soliton solutions: symmetric and antisymmetric. Comparing the energy of both types of soliton solutions with the energy of free extra charge, we find the region of the system parameters in which the soliton states are more energetically favorable than the states of quasi-free charges. At the same time, which of the two mentioned soliton solutions corresponds to an energetically favorable state depends on the ratio of the energy parameters of the molecular structure. © 2021, ITMO University. All rights reserved.
T2  - Nanosystems: Physics, Chemistry, Mathematics
T1  - On the long-distance charge transport in DNA-like macromolecules
VL  - 12
IS  - 1
SP  - 32
EP  - 41
DO  - 10.17586/2220-8054-2021-12-1-32-41
ER  - 

@article{
author = "Čevizović, Dalibor and Chizhov, Alexei V. and Ivić, Zoran and Reshetnyak, A.A.",
year = "2021",
abstract = "In this paper, we investigate the possibility of stable migration of charge carriers over long distances in DNA-like macromolecular structures in the form of an adiabatic soliton and derive the conditions for the formation of solitons. We find two types of soliton solutions: symmetric and antisymmetric. Comparing the energy of both types of soliton solutions with the energy of free extra charge, we find the region of the system parameters in which the soliton states are more energetically favorable than the states of quasi-free charges. At the same time, which of the two mentioned soliton solutions corresponds to an energetically favorable state depends on the ratio of the energy parameters of the molecular structure. © 2021, ITMO University. All rights reserved.",
journal = "Nanosystems: Physics, Chemistry, Mathematics",
title = "On the long-distance charge transport in DNA-like macromolecules",
volume = "12",
number = "1",
pages = "32-41",
doi = "10.17586/2220-8054-2021-12-1-32-41"
}

Čevizović, D., Chizhov, A. V., Ivić, Z.,& Reshetnyak, A.A.. (2021). On the long-distance charge transport in DNA-like macromolecules. in Nanosystems: Physics, Chemistry, Mathematics, 12(1), 32-41.
https://doi.org/10.17586/2220-8054-2021-12-1-32-41

Čevizović D, Chizhov AV, Ivić Z, Reshetnyak A. On the long-distance charge transport in DNA-like macromolecules. in Nanosystems: Physics, Chemistry, Mathematics. 2021;12(1):32-41.
doi:10.17586/2220-8054-2021-12-1-32-41 .

Čevizović, Dalibor, Chizhov, Alexei V., Ivić, Zoran, Reshetnyak, A.A., "On the long-distance charge transport in DNA-like macromolecules" in Nanosystems: Physics, Chemistry, Mathematics, 12, no. 1 (2021):32-41,
https://doi.org/10.17586/2220-8054-2021-12-1-32-41 . .

TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Čevizović, Dalibor
AU  - Bugay, Aleksandr N.
AU  - Maluckov, Aleksandra
PY  - 2019
UR  - http://aip.scitation.org/doi/10.1063/1.5090962
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8207
AB  - We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard-Bishop model. We look for traveling wave solutions and show that a continuum approximation brings about kink solitons moving along the chain. This statement is supported by the numerical solution of a relevant dynamical equation of motion. Finally, we argue that an existence of both kinks and localized modulated solitons (breathers) could be a useful tool to describe DNA-RNA transcription. © 2019 Author(s).
T2  - Chaos
T1  - Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule
VL  - 29
IS  - 5
SP  - 053118
DO  - 10.1063/1.5090962
ER  - 

@article{
author = "Zdravković, Slobodan and Čevizović, Dalibor and Bugay, Aleksandr N. and Maluckov, Aleksandra",
year = "2019",
abstract = "We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard-Bishop model. We look for traveling wave solutions and show that a continuum approximation brings about kink solitons moving along the chain. This statement is supported by the numerical solution of a relevant dynamical equation of motion. Finally, we argue that an existence of both kinks and localized modulated solitons (breathers) could be a useful tool to describe DNA-RNA transcription. © 2019 Author(s).",
journal = "Chaos",
title = "Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule",
volume = "29",
number = "5",
pages = "053118",
doi = "10.1063/1.5090962"
}

Zdravković, S., Čevizović, D., Bugay, A. N.,& Maluckov, A.. (2019). Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule. in Chaos, 29(5), 053118.
https://doi.org/10.1063/1.5090962

Zdravković S, Čevizović D, Bugay AN, Maluckov A. Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule. in Chaos. 2019;29(5):053118.
doi:10.1063/1.5090962 .

Zdravković, Slobodan, Čevizović, Dalibor, Bugay, Aleksandr N., Maluckov, Aleksandra, "Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule" in Chaos, 29, no. 5 (2019):053118,
https://doi.org/10.1063/1.5090962 . .

TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Bugay, Aleksandr N.
AU  - Aru, Guzel F.
AU  - Maluckov, Aleksandra
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6066
AB  - In the present paper, we study nonlinear dynamics of microtubules (MTs). As an analytical method, we use semi-discrete approximation and show that localized modulated solitonic waves move along MT. This is supported by numerical analysis. Both cases with and without viscosity effects are studied. (C) 2014 AIP Publishing LLC.
T2  - Chaos
T1  - Localized modulated waves in microtubules
VL  - 24
IS  - 2
DO  - 10.1063/1.4885777
ER  - 

@article{
author = "Zdravković, Slobodan and Bugay, Aleksandr N. and Aru, Guzel F. and Maluckov, Aleksandra",
year = "2014",
abstract = "In the present paper, we study nonlinear dynamics of microtubules (MTs). As an analytical method, we use semi-discrete approximation and show that localized modulated solitonic waves move along MT. This is supported by numerical analysis. Both cases with and without viscosity effects are studied. (C) 2014 AIP Publishing LLC.",
journal = "Chaos",
title = "Localized modulated waves in microtubules",
volume = "24",
number = "2",
doi = "10.1063/1.4885777"
}

Zdravković, S., Bugay, A. N., Aru, G. F.,& Maluckov, A.. (2014). Localized modulated waves in microtubules. in Chaos, 24(2).
https://doi.org/10.1063/1.4885777

Zdravković S, Bugay AN, Aru GF, Maluckov A. Localized modulated waves in microtubules. in Chaos. 2014;24(2).
doi:10.1063/1.4885777 .

Zdravković, Slobodan, Bugay, Aleksandr N., Aru, Guzel F., Maluckov, Aleksandra, "Localized modulated waves in microtubules" in Chaos, 24, no. 2 (2014),
https://doi.org/10.1063/1.4885777 . .