Application of Morse potential in nonlinear dynamics of microtubules
Само за регистроване кориснике
2017
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
Microtubules / Morse potential / Kink solitonsИзвор:
Nonlinear Dynamics, 2017, 90, 4, 2841-2849Финансирање / пројекти:
- Фотоника микро и нано структурних материјала (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- JINR, Dubna, Russian Federation, Ministry of Education and Science of Republic of Serbia: Theory of Condensed Matter Physics, Russian Science Foundation [17-11-01157]
DOI: 10.1007/s11071-017-3845-y
ISSN: 0924-090X; 1573-269X
WoS: 000415111100041
Scopus: 2-s2.0-85031428975
Колекције
Институција/група
VinčaTY - 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 . .