@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"
}