Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics
Нема приказа
Аутори
Vosika, Zoran B.Mitić, Vojislav V.
Vasić, Aleksandra
Lazović, Goran
Matija, Lidija
Kocić, Ljubiša
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
In this paper, Caputo based Michaelis-Menten kinetic model based on Time Scale Calculus (TSC) is proposed. The main reason for its consideration is a study of tumor cells population growth dynamics. In the particular case discrete-continuous time kinetics, Michaelis-Menten model is numerically treated, using a new algorithm proposed by authors, called multistep generalized difference transformation method (MSGDETM). In addition numerical simulations are performed and is shown that it represents the upgrade of the multistep variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described.
Кључне речи:
Nonlinear systems / kinetics / Discrete fractional calculusИзвор:
Communications in Nonlinear Science and Numerical Simulation, 2017, 44, 373-389Издавач:
- Elsevier Science Bv, Amsterdam
Напомена:
- Peer reviewed version of the paper: https://machinery.mas.bg.ac.rs/handle/123456789/3937
Повезане информације:
- Друга верзија
https://machinery.mas.bg.ac.rs/handle/123456789/3937
DOI: 10.1016/j.cnsns.2016.08.024
ISSN: 1007-5704
WoS: 000386744400031
Scopus: 2-s2.0-84986550432
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Vosika, Zoran B. AU - Mitić, Vojislav V. AU - Vasić, Aleksandra AU - Lazović, Goran AU - Matija, Lidija AU - Kocić, Ljubiša PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2542 AB - In this paper, Caputo based Michaelis-Menten kinetic model based on Time Scale Calculus (TSC) is proposed. The main reason for its consideration is a study of tumor cells population growth dynamics. In the particular case discrete-continuous time kinetics, Michaelis-Menten model is numerically treated, using a new algorithm proposed by authors, called multistep generalized difference transformation method (MSGDETM). In addition numerical simulations are performed and is shown that it represents the upgrade of the multistep variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described. PB - Elsevier Science Bv, Amsterdam T2 - Communications in Nonlinear Science and Numerical Simulation T1 - Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics EP - 389 SP - 373 VL - 44 DO - 10.1016/j.cnsns.2016.08.024 ER -
@article{ author = "Vosika, Zoran B. and Mitić, Vojislav V. and Vasić, Aleksandra and Lazović, Goran and Matija, Lidija and Kocić, Ljubiša", year = "2017", abstract = "In this paper, Caputo based Michaelis-Menten kinetic model based on Time Scale Calculus (TSC) is proposed. The main reason for its consideration is a study of tumor cells population growth dynamics. In the particular case discrete-continuous time kinetics, Michaelis-Menten model is numerically treated, using a new algorithm proposed by authors, called multistep generalized difference transformation method (MSGDETM). In addition numerical simulations are performed and is shown that it represents the upgrade of the multistep variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described.", publisher = "Elsevier Science Bv, Amsterdam", journal = "Communications in Nonlinear Science and Numerical Simulation", title = "Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics", pages = "389-373", volume = "44", doi = "10.1016/j.cnsns.2016.08.024" }
Vosika, Z. B., Mitić, V. V., Vasić, A., Lazović, G., Matija, L.,& Kocić, L.. (2017). Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics. in Communications in Nonlinear Science and Numerical Simulation Elsevier Science Bv, Amsterdam., 44, 373-389. https://doi.org/10.1016/j.cnsns.2016.08.024
Vosika ZB, Mitić VV, Vasić A, Lazović G, Matija L, Kocić L. Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics. in Communications in Nonlinear Science and Numerical Simulation. 2017;44:373-389. doi:10.1016/j.cnsns.2016.08.024 .
Vosika, Zoran B., Mitić, Vojislav V., Vasić, Aleksandra, Lazović, Goran, Matija, Lidija, Kocić, Ljubiša, "Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics" in Communications in Nonlinear Science and Numerical Simulation, 44 (2017):373-389, https://doi.org/10.1016/j.cnsns.2016.08.024 . .