Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics
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AuthorsVosika, Zoran B.
Mitić, Vojislav V.
Vasić, Aleksandar N.
Article (Published version)
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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 systems
Source:Communications in Nonlinear Science and Numerical Simulation, 2017, 44, 373-389