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  - Koruga, Đuro
AU  - Tomić, A.
AU  - Ratkaj, Z.
AU  - Matija, Lidija
PY  - 2006
UR  - https://dais.sanu.ac.rs/123456789/13367
AB  - Investigation of the properties of peptide plane in protein chain from both classical and quantum approach is presented. We calculated interatomic force constants for peptide plane and hydrogen bonds between peptide planes in protein chain. On the basis of force constants, displacements of each atom in peptide plane, and time of action we found that the value of the peptide plane action is close to the Planck constant. This indicates that peptide plane from the energy viewpoint possesses synergetic classical/quantum properties. Consideration of peptide planes in protein chain from information viewpoint also shows that protein chain possesses classical and quantum properties. So, it appears that protein chain behaves as a triple dual system: (1) structural - amino acids and peptide planes, (2) energy - classical and quantum state, and (3) information - classical and quantum coding. Based on experimental facts of protein chain, we proposed from the structure-energy-information viewpoint its synergetic code system.
PB  - Trans Tech Publications Ltd, Stafa-Zurich
T2  - Recent Developments in Advanced Materials and Processes
T1  - Classical and quantum information channels in protein chain
SP  - 491
EP  - 496
VL  - 518
DO  - 10.4028/www.scientific.net/MSF.518.491
UR  - https://hdl.handle.net/21.15107/rcub_dais_13367
ER  - 

@article{
author = "Koruga, Đuro and Tomić, A. and Ratkaj, Z. and Matija, Lidija",
year = "2006",
abstract = "Investigation of the properties of peptide plane in protein chain from both classical and quantum approach is presented. We calculated interatomic force constants for peptide plane and hydrogen bonds between peptide planes in protein chain. On the basis of force constants, displacements of each atom in peptide plane, and time of action we found that the value of the peptide plane action is close to the Planck constant. This indicates that peptide plane from the energy viewpoint possesses synergetic classical/quantum properties. Consideration of peptide planes in protein chain from information viewpoint also shows that protein chain possesses classical and quantum properties. So, it appears that protein chain behaves as a triple dual system: (1) structural - amino acids and peptide planes, (2) energy - classical and quantum state, and (3) information - classical and quantum coding. Based on experimental facts of protein chain, we proposed from the structure-energy-information viewpoint its synergetic code system.",
publisher = "Trans Tech Publications Ltd, Stafa-Zurich",
journal = "Recent Developments in Advanced Materials and Processes",
title = "Classical and quantum information channels in protein chain",
pages = "491-496",
volume = "518",
doi = "10.4028/www.scientific.net/MSF.518.491",
url = "https://hdl.handle.net/21.15107/rcub_dais_13367"
}

Koruga, Đ., Tomić, A., Ratkaj, Z.,& Matija, L.. (2006). Classical and quantum information channels in protein chain. in Recent Developments in Advanced Materials and Processes
Trans Tech Publications Ltd, Stafa-Zurich., 518, 491-496.
https://doi.org/10.4028/www.scientific.net/MSF.518.491
https://hdl.handle.net/21.15107/rcub_dais_13367

Koruga Đ, Tomić A, Ratkaj Z, Matija L. Classical and quantum information channels in protein chain. in Recent Developments in Advanced Materials and Processes. 2006;518:491-496.
doi:10.4028/www.scientific.net/MSF.518.491
https://hdl.handle.net/21.15107/rcub_dais_13367 .

Koruga, Đuro, Tomić, A., Ratkaj, Z., Matija, Lidija, "Classical and quantum information channels in protein chain" in Recent Developments in Advanced Materials and Processes, 518 (2006):491-496,
https://doi.org/10.4028/www.scientific.net/MSF.518.491 .,
https://hdl.handle.net/21.15107/rcub_dais_13367 .