TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Zeković, Slobodan
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1856
AB  - Microtubules (MTs) are the most important part of cytoskeleton. In this paper we deal with two basic nonlinear differential equations coming from the two known models describing nonlinear dynamics of MTs. These equations are solved using the series expansion unknown function method (SEUFM). Trying to recognize the most general mathematical procedure for solving these equations the solutions are compared with those obtained earlier using the tangent hyperbolic function method (THFM) and the simplest equation method (SEM). In all these three approaches we express the solutions of these equations as series expansions. In the cases of THFM and SEM the functions existing in the series are known while SEUFM assumes unknown function.
T2  - Chinese Journal of Physics
T1  - Nonlinear dynamics of microtubules and series expansion unknown function method
VL  - 55
IS  - 6
SP  - 2400
EP  - 2406
DO  - 10.1016/j.cjph.2017.10.009
ER  - 

@article{
author = "Zdravković, Slobodan and Zeković, Slobodan",
year = "2017",
abstract = "Microtubules (MTs) are the most important part of cytoskeleton. In this paper we deal with two basic nonlinear differential equations coming from the two known models describing nonlinear dynamics of MTs. These equations are solved using the series expansion unknown function method (SEUFM). Trying to recognize the most general mathematical procedure for solving these equations the solutions are compared with those obtained earlier using the tangent hyperbolic function method (THFM) and the simplest equation method (SEM). In all these three approaches we express the solutions of these equations as series expansions. In the cases of THFM and SEM the functions existing in the series are known while SEUFM assumes unknown function.",
journal = "Chinese Journal of Physics",
title = "Nonlinear dynamics of microtubules and series expansion unknown function method",
volume = "55",
number = "6",
pages = "2400-2406",
doi = "10.1016/j.cjph.2017.10.009"
}

Zdravković, S.,& Zeković, S.. (2017). Nonlinear dynamics of microtubules and series expansion unknown function method. in Chinese Journal of Physics, 55(6), 2400-2406.
https://doi.org/10.1016/j.cjph.2017.10.009

Zdravković S, Zeković S. Nonlinear dynamics of microtubules and series expansion unknown function method. in Chinese Journal of Physics. 2017;55(6):2400-2406.
doi:10.1016/j.cjph.2017.10.009 .

Zdravković, Slobodan, Zeković, Slobodan, "Nonlinear dynamics of microtubules and series expansion unknown function method" in Chinese Journal of Physics, 55, no. 6 (2017):2400-2406,
https://doi.org/10.1016/j.cjph.2017.10.009 . .

TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Satarić, Miljko V.
AU  - Zeković, Slobodan
PY  - 2013
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5528
AB  - In the present letter we describe a model of nonlinear dynamics of microtubules (MTs) assuming a single longitudinal degree of freedom per tubulin dimer. This is a longitudinal displacement of a dimer at a certain position with respect to the neighbouring one. A nonlinear partial differential equation, describing dimers dynamics within MT, is solved both analytically and numerically. It is shown that such a nonlinear model can lead to the existence of kink solitons moving along the MTs. The internal electrical field strength is calculated using two procedures and a perfect agreement between the results is demonstrated. This enabled the estimation of the total energy, kink velocity and kink width. To simplify the calculation of the total energy we stated and proved a useful auxiliary theorem. Copyright (C) EPLA, 2013
T2  - Europhysics Letters / EPL
T1  - Nonlinear dynamics of microtubules -A longitudinal model
VL  - 102
IS  - 3
DO  - 10.1209/0295-5075/102/38002
ER  - 

@article{
author = "Zdravković, Slobodan and Satarić, Miljko V. and Zeković, Slobodan",
year = "2013",
abstract = "In the present letter we describe a model of nonlinear dynamics of microtubules (MTs) assuming a single longitudinal degree of freedom per tubulin dimer. This is a longitudinal displacement of a dimer at a certain position with respect to the neighbouring one. A nonlinear partial differential equation, describing dimers dynamics within MT, is solved both analytically and numerically. It is shown that such a nonlinear model can lead to the existence of kink solitons moving along the MTs. The internal electrical field strength is calculated using two procedures and a perfect agreement between the results is demonstrated. This enabled the estimation of the total energy, kink velocity and kink width. To simplify the calculation of the total energy we stated and proved a useful auxiliary theorem. Copyright (C) EPLA, 2013",
journal = "Europhysics Letters / EPL",
title = "Nonlinear dynamics of microtubules -A longitudinal model",
volume = "102",
number = "3",
doi = "10.1209/0295-5075/102/38002"
}

Zdravković, S., Satarić, M. V.,& Zeković, S.. (2013). Nonlinear dynamics of microtubules -A longitudinal model. in Europhysics Letters / EPL, 102(3).
https://doi.org/10.1209/0295-5075/102/38002

Zdravković S, Satarić MV, Zeković S. Nonlinear dynamics of microtubules -A longitudinal model. in Europhysics Letters / EPL. 2013;102(3).
doi:10.1209/0295-5075/102/38002 .

Zdravković, Slobodan, Satarić, Miljko V., Zeković, Slobodan, "Nonlinear dynamics of microtubules -A longitudinal model" in Europhysics Letters / EPL, 102, no. 3 (2013),
https://doi.org/10.1209/0295-5075/102/38002 . .

TY  - CONF
AU  - Zeković, Slobodan
AU  - Zdravković, Slobodan
AU  - Ivić, Zoran
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6942
AB  - Polaronic mechanism of charge transfer in DNA is considered on the basis of one-dimensional Su-Schrieffer-Heeger (SSH) model Hamiltonian. It is shown that usually used values of SSH model Hamiltonian parameters, especially transfer integral and electron-phonon coupling constant which are obtained in the framework of ab initio calculations, do not give reliable resolution of the problem of (large) polaron applicability for charge migration in DNA. Because of that, theoretical method is proposed which enables us to estimate explicitly electron-phonon coupling constant on the basis of transfer integral. The value of polaron width obtained for such determined parameters leads to the conclusion that coherent motion of large polaron represents dominant mechanism of charge transfer in DNA.
C3  - Journal of Physics: Conference Series
T1  - Charge Transfer in DNA: The Role of Large Polarons
VL  - 329
DO  - 10.1088/1742-6596/329/1/012015
ER  - 

@conference{
author = "Zeković, Slobodan and Zdravković, Slobodan and Ivić, Zoran",
year = "2011",
abstract = "Polaronic mechanism of charge transfer in DNA is considered on the basis of one-dimensional Su-Schrieffer-Heeger (SSH) model Hamiltonian. It is shown that usually used values of SSH model Hamiltonian parameters, especially transfer integral and electron-phonon coupling constant which are obtained in the framework of ab initio calculations, do not give reliable resolution of the problem of (large) polaron applicability for charge migration in DNA. Because of that, theoretical method is proposed which enables us to estimate explicitly electron-phonon coupling constant on the basis of transfer integral. The value of polaron width obtained for such determined parameters leads to the conclusion that coherent motion of large polaron represents dominant mechanism of charge transfer in DNA.",
journal = "Journal of Physics: Conference Series",
title = "Charge Transfer in DNA: The Role of Large Polarons",
volume = "329",
doi = "10.1088/1742-6596/329/1/012015"
}

Zeković, S., Zdravković, S.,& Ivić, Z.. (2011). Charge Transfer in DNA: The Role of Large Polarons. in Journal of Physics: Conference Series, 329.
https://doi.org/10.1088/1742-6596/329/1/012015

Zeković S, Zdravković S, Ivić Z. Charge Transfer in DNA: The Role of Large Polarons. in Journal of Physics: Conference Series. 2011;329.
doi:10.1088/1742-6596/329/1/012015 .

Zeković, Slobodan, Zdravković, Slobodan, Ivić, Zoran, "Charge Transfer in DNA: The Role of Large Polarons" in Journal of Physics: Conference Series, 329 (2011),
https://doi.org/10.1088/1742-6596/329/1/012015 . .

TY  - JOUR
AU  - Čevizović, Dalibor
AU  - Zeković, Slobodan
AU  - Ivić, Zoran
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6893
AB  - We study the possibility of the small-polaron creation in alpha-helix proteins, accounting for the self-trapping of the intramolecular vibration energy quanta. The small-polaron concept of energy transfer in polypeptides has been revisited on the basis of these results. It was found that traditional small-polaron theories cannot be directly applied to the vibrational quanta transfer in these substances. In particular, true eigenstates of system should correspond to a partial dressed polarons rather than to the fully dressed small polaron states.
T2  - Physics of Particles and Nuclei
T1  - On the possible role of small polarons in the charge and energy transport in the alpha-helix proteins
VL  - 41
IS  - 7
SP  - 1017
EP  - 1019
DO  - 10.1134/S1063779610070075
ER  - 

@article{
author = "Čevizović, Dalibor and Zeković, Slobodan and Ivić, Zoran",
year = "2010",
abstract = "We study the possibility of the small-polaron creation in alpha-helix proteins, accounting for the self-trapping of the intramolecular vibration energy quanta. The small-polaron concept of energy transfer in polypeptides has been revisited on the basis of these results. It was found that traditional small-polaron theories cannot be directly applied to the vibrational quanta transfer in these substances. In particular, true eigenstates of system should correspond to a partial dressed polarons rather than to the fully dressed small polaron states.",
journal = "Physics of Particles and Nuclei",
title = "On the possible role of small polarons in the charge and energy transport in the alpha-helix proteins",
volume = "41",
number = "7",
pages = "1017-1019",
doi = "10.1134/S1063779610070075"
}

Čevizović, D., Zeković, S.,& Ivić, Z.. (2010). On the possible role of small polarons in the charge and energy transport in the alpha-helix proteins. in Physics of Particles and Nuclei, 41(7), 1017-1019.
https://doi.org/10.1134/S1063779610070075

Čevizović D, Zeković S, Ivić Z. On the possible role of small polarons in the charge and energy transport in the alpha-helix proteins. in Physics of Particles and Nuclei. 2010;41(7):1017-1019.
doi:10.1134/S1063779610070075 .

Čevizović, Dalibor, Zeković, Slobodan, Ivić, Zoran, "On the possible role of small polarons in the charge and energy transport in the alpha-helix proteins" in Physics of Particles and Nuclei, 41, no. 7 (2010):1017-1019,
https://doi.org/10.1134/S1063779610070075 . .

TY  - CONF
AU  - Čevizović, Dalibor
AU  - Galović, Slobodanka
AU  - Zeković, Slobodan
AU  - Ivić, Zoran
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6926
AB  - In this paper we investigate charge transport in the alpha-helix proteins. It is considered that charge carriers are partially dressed small polarons, that are formed by electron self-trapping in the weak coupling limit. Polaron properties are considered by applying mean-field theory based upon the modified Lang-Firsov transformation and the Bogolyubov theorem. The transport properties have been calculated on the basis of the Holstein MC model. The obtained results are compared with the results of previous models.
C3  - Journal of Physics: Conference Series
T1  - Charge transport in the alpha-helix proteins
VL  - 248
DO  - 10.1088/1742-6596/248/1/012051
ER  - 

@conference{
author = "Čevizović, Dalibor and Galović, Slobodanka and Zeković, Slobodan and Ivić, Zoran",
year = "2010",
abstract = "In this paper we investigate charge transport in the alpha-helix proteins. It is considered that charge carriers are partially dressed small polarons, that are formed by electron self-trapping in the weak coupling limit. Polaron properties are considered by applying mean-field theory based upon the modified Lang-Firsov transformation and the Bogolyubov theorem. The transport properties have been calculated on the basis of the Holstein MC model. The obtained results are compared with the results of previous models.",
journal = "Journal of Physics: Conference Series",
title = "Charge transport in the alpha-helix proteins",
volume = "248",
doi = "10.1088/1742-6596/248/1/012051"
}

Čevizović, D., Galović, S., Zeković, S.,& Ivić, Z.. (2010). Charge transport in the alpha-helix proteins. in Journal of Physics: Conference Series, 248.
https://doi.org/10.1088/1742-6596/248/1/012051

Čevizović D, Galović S, Zeković S, Ivić Z. Charge transport in the alpha-helix proteins. in Journal of Physics: Conference Series. 2010;248.
doi:10.1088/1742-6596/248/1/012051 .

Čevizović, Dalibor, Galović, Slobodanka, Zeković, Slobodan, Ivić, Zoran, "Charge transport in the alpha-helix proteins" in Journal of Physics: Conference Series, 248 (2010),
https://doi.org/10.1088/1742-6596/248/1/012051 . .

TY  - JOUR
AU  - Galović, Slobodanka
AU  - Čevizović, Dalibor
AU  - Zeković, Slobodan
AU  - Ivić, Zoran
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3098
AB  - A model for phonon heat conduction in a molecular nanowire is developed. The calculation takes into account modification of the acoustic phonon dispersion relation due to the electron-phonon interaction. The results obtained are compared with models based upon a simpler, Callaway formula.
T2  - Science of Sintering
T1  - Influence of the electron-phonon iinteraction on phonon heat conduction in a molecular nanowire
VL  - 38
IS  - 2
SP  - 125
EP  - 129
DO  - 10.2298/SOS0602125G
ER  - 

@article{
author = "Galović, Slobodanka and Čevizović, Dalibor and Zeković, Slobodan and Ivić, Zoran",
year = "2006",
abstract = "A model for phonon heat conduction in a molecular nanowire is developed. The calculation takes into account modification of the acoustic phonon dispersion relation due to the electron-phonon interaction. The results obtained are compared with models based upon a simpler, Callaway formula.",
journal = "Science of Sintering",
title = "Influence of the electron-phonon iinteraction on phonon heat conduction in a molecular nanowire",
volume = "38",
number = "2",
pages = "125-129",
doi = "10.2298/SOS0602125G"
}

Galović, S., Čevizović, D., Zeković, S.,& Ivić, Z.. (2006). Influence of the electron-phonon iinteraction on phonon heat conduction in a molecular nanowire. in Science of Sintering, 38(2), 125-129.
https://doi.org/10.2298/SOS0602125G

Galović S, Čevizović D, Zeković S, Ivić Z. Influence of the electron-phonon iinteraction on phonon heat conduction in a molecular nanowire. in Science of Sintering. 2006;38(2):125-129.
doi:10.2298/SOS0602125G .

Galović, Slobodanka, Čevizović, Dalibor, Zeković, Slobodan, Ivić, Zoran, "Influence of the electron-phonon iinteraction on phonon heat conduction in a molecular nanowire" in Science of Sintering, 38, no. 2 (2006):125-129,
https://doi.org/10.2298/SOS0602125G . .

TY  - JOUR
AU  - Mašović, Dragoslav R.
AU  - Vukajlović, Filip R.
AU  - Zeković, Slobodan
PY  - 1983
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10534
AB  - A simple analytic local pseudopotential has been suggested for silicon. This pseudopotential has four adjustable parameters ( beta 1/ beta 2, C1, C2, C3) of which two are taken to give the values of W(111) and W(311) used by Cohen and Bergstresser (1966) and beta 1/ beta 2 is taken from Animalu and Heine (1965), leaving one parameter which the authors choose to obtain a fit. The band structure, reflectivity spectrum and valence density of states were calculated on the basis of this pseudopotential and compared with the experimental results and the corresponding non-local pseudopotential calculations. It is shown that the local pseudopotential approach to silicon can give at least as good results as the more complicated non-local approaches of recent years. This is due to the inclusion of form factors for larger reciprocal lattice vectors (g2>(2 pi /a)211) which other workers have taken as zero. From the results of the present paper it becomes apparent that an adequate estimate of the influence of non-local features can be made only after investigations of the possibilities of the local pseudopotential.
T2  - Journal of Physics C: Solid State Physics
T1  - Local-pseudopotential calculation for optical properties and photoemission valence-band spectrum of silicon
VL  - 16
IS  - 35
SP  - 6731
DO  - 10.1088/0022-3719/16/35/007
ER  - 

@article{
author = "Mašović, Dragoslav R. and Vukajlović, Filip R. and Zeković, Slobodan",
year = "1983",
abstract = "A simple analytic local pseudopotential has been suggested for silicon. This pseudopotential has four adjustable parameters ( beta 1/ beta 2, C1, C2, C3) of which two are taken to give the values of W(111) and W(311) used by Cohen and Bergstresser (1966) and beta 1/ beta 2 is taken from Animalu and Heine (1965), leaving one parameter which the authors choose to obtain a fit. The band structure, reflectivity spectrum and valence density of states were calculated on the basis of this pseudopotential and compared with the experimental results and the corresponding non-local pseudopotential calculations. It is shown that the local pseudopotential approach to silicon can give at least as good results as the more complicated non-local approaches of recent years. This is due to the inclusion of form factors for larger reciprocal lattice vectors (g2>(2 pi /a)211) which other workers have taken as zero. From the results of the present paper it becomes apparent that an adequate estimate of the influence of non-local features can be made only after investigations of the possibilities of the local pseudopotential.",
journal = "Journal of Physics C: Solid State Physics",
title = "Local-pseudopotential calculation for optical properties and photoemission valence-band spectrum of silicon",
volume = "16",
number = "35",
pages = "6731",
doi = "10.1088/0022-3719/16/35/007"
}

Mašović, D. R., Vukajlović, F. R.,& Zeković, S.. (1983). Local-pseudopotential calculation for optical properties and photoemission valence-band spectrum of silicon. in Journal of Physics C: Solid State Physics, 16(35), 6731.
https://doi.org/10.1088/0022-3719/16/35/007

Mašović DR, Vukajlović FR, Zeković S. Local-pseudopotential calculation for optical properties and photoemission valence-band spectrum of silicon. in Journal of Physics C: Solid State Physics. 1983;16(35):6731.
doi:10.1088/0022-3719/16/35/007 .

Mašović, Dragoslav R., Vukajlović, Filip R., Zeković, Slobodan, "Local-pseudopotential calculation for optical properties and photoemission valence-band spectrum of silicon" in Journal of Physics C: Solid State Physics, 16, no. 35 (1983):6731,
https://doi.org/10.1088/0022-3719/16/35/007 . .