Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics
Authorized Users Only
2017
Authors
Vosika, Zoran B.Mitić, Vojislav V.
Vasić, Aleksandar
Lazović, Goran
Matija, Lidija
Kocić, Ljubiša
Article (Published version)
Metadata
Show full item recordAbstract
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.
Keywords:
kinetics / discrete fractional calculus / nonlinear systemsSource:
Communications in Nonlinear Science and Numerical Simulation, 2017, 44, 373-389Publisher:
- Elsevier
DOI: 10.1016/j.cnsns.2016.08.024
ISSN: 1007-5704
WoS: 000386744400031
Scopus: 2-s2.0-84986550432
Institution/Community
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/123456789/2358 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_2358 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_2358" }
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_2358
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_2358 .
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_2358 .