Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics
Аутори
Vosika, Zoran B.Mitić, Vojislav V.
Vasić, Aleksandar
Lazović, Goran
Matija, Lidija
Kocić, Ljubiša
Чланак у часопису (Рецензирана 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 multi-step variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described.
Кључне речи:
kinetics / discrete fractional calculus / nonlinear systemsИзвор:
Communications in Nonlinear Science and Numerical Simulation, 2017, 44, 373-389Издавач:
- Elsevier
Напомена:
- This is the peer-reviewed version of the article: Vosika, Z., Mitić, V.V., Vasić, A., Lazović, G., Matija, L., Kocić, L.M., 2017. Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics. Communications in Nonlinear Science and Numerical Simulation 44, 373–389. https://doi.org/10.1016/j.cnsns.2016.08.024
DOI: 10.1016/j.cnsns.2016.08.024
ISSN: 1007-5704
WoS: 000386744400031
Scopus: 2-s2.0-84986550432
Институција/група
Институт техничких наука САНУ / Institute of Technical Sciences of SASATY - JOUR AU - Vosika, Zoran B. AU - Mitić, Vojislav V. AU - Vasić, Aleksandar AU - Lazović, Goran AU - Matija, Lidija AU - Kocić, Ljubiša PY - 2017 UR - https://dais.sanu.ac.rs/123456789/4613 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 multi-step variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described. PB - Elsevier 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 SP - 373 EP - 389 VL - 44 DO - 10.1016/j.cnsns.2016.08.024 UR - https://hdl.handle.net/21.15107/rcub_dais_4613 ER -
@article{ author = "Vosika, Zoran B. and Mitić, Vojislav V. and Vasić, Aleksandar 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 multi-step variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described.", publisher = "Elsevier", 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 = "373-389", volume = "44", doi = "10.1016/j.cnsns.2016.08.024", url = "https://hdl.handle.net/21.15107/rcub_dais_4613" }
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., 44, 373-389. https://doi.org/10.1016/j.cnsns.2016.08.024 https://hdl.handle.net/21.15107/rcub_dais_4613
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 https://hdl.handle.net/21.15107/rcub_dais_4613 .
Vosika, Zoran B., Mitić, Vojislav V., Vasić, Aleksandar, 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 ., https://hdl.handle.net/21.15107/rcub_dais_4613 .