TY  - 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 .

TY  - 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 .