Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics
Апстракт
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
DOI: 10.1016/j.cnsns.2016.08.024
ISSN: 1007-5704
[ Google Scholar ]URI
http://www.itn.sanu.ac.rs/opus4/frontdoor/index/index/docId/1374http://dais.sanu.ac.rs/123456789/2358