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 .

TY  - CONF
AU  - Matija, Lidija
AU  - Koruga, Đuro
AU  - Jovanović, J.
AU  - Dobrosavljević, D.
AU  - Ignjatović, Nenad
PY  - 2004
UR  - https://dais.sanu.ac.rs/123456789/14302
AB  - In this paper both theoretical and experimental approach to a possible interaction between collagen hydrolyzate and fullerole C-60(OH)(24) have been considered. In vitro and in vivo experiments were performed. Based on FT-IR spectroscopy, bands of amide I, II and III, from collagen hydrolyzate were analyzed, as well as the characteristic bands of fullerole. Based on experimental results, torsion types of interaction between collagen hydrolyzate and fullerole C-60(OH)(24) have been considered. According to in vivo experiments, fullerole initiates fibroblast cells production and after a two-month skin treatment it improves collagen and elastin production. This indicates that fullerole effects intermolecular communications from collagen fibers through integrines and microtubules to cell nucleus.
PB  - Trans Tech Publications Ltd.
C3  - Progress in Advanced Materials and Processes
T1  - In vitro and in vivo investigation of collagen - C-60(OH)(24) interaction
SP  - 561
EP  - 566
VL  - 453-454
DO  - 10.4028/www.scientific.net/MSF.453-454.561
UR  - https://hdl.handle.net/21.15107/rcub_machinery_399
ER  - 

@conference{
author = "Matija, Lidija and Koruga, Đuro and Jovanović, J. and Dobrosavljević, D. and Ignjatović, Nenad",
year = "2004",
abstract = "In this paper both theoretical and experimental approach to a possible interaction between collagen hydrolyzate and fullerole C-60(OH)(24) have been considered. In vitro and in vivo experiments were performed. Based on FT-IR spectroscopy, bands of amide I, II and III, from collagen hydrolyzate were analyzed, as well as the characteristic bands of fullerole. Based on experimental results, torsion types of interaction between collagen hydrolyzate and fullerole C-60(OH)(24) have been considered. According to in vivo experiments, fullerole initiates fibroblast cells production and after a two-month skin treatment it improves collagen and elastin production. This indicates that fullerole effects intermolecular communications from collagen fibers through integrines and microtubules to cell nucleus.",
publisher = "Trans Tech Publications Ltd.",
journal = "Progress in Advanced Materials and Processes",
title = "In vitro and in vivo investigation of collagen - C-60(OH)(24) interaction",
pages = "561-566",
volume = "453-454",
doi = "10.4028/www.scientific.net/MSF.453-454.561",
url = "https://hdl.handle.net/21.15107/rcub_machinery_399"
}

Matija, L., Koruga, Đ., Jovanović, J., Dobrosavljević, D.,& Ignjatović, N.. (2004). In vitro and in vivo investigation of collagen - C-60(OH)(24) interaction. in Progress in Advanced Materials and Processes
Trans Tech Publications Ltd.., 453-454, 561-566.
https://doi.org/10.4028/www.scientific.net/MSF.453-454.561
https://hdl.handle.net/21.15107/rcub_machinery_399

Matija L, Koruga Đ, Jovanović J, Dobrosavljević D, Ignjatović N. In vitro and in vivo investigation of collagen - C-60(OH)(24) interaction. in Progress in Advanced Materials and Processes. 2004;453-454:561-566.
doi:10.4028/www.scientific.net/MSF.453-454.561
https://hdl.handle.net/21.15107/rcub_machinery_399 .

Matija, Lidija, Koruga, Đuro, Jovanović, J., Dobrosavljević, D., Ignjatović, Nenad, "In vitro and in vivo investigation of collagen - C-60(OH)(24) interaction" in Progress in Advanced Materials and Processes, 453-454 (2004):561-566,
https://doi.org/10.4028/www.scientific.net/MSF.453-454.561 .,
https://hdl.handle.net/21.15107/rcub_machinery_399 .

TY  - JOUR
AU  - Koruga, Đuro
AU  - Tomić, A.
AU  - Ratkaj, Z.
AU  - Matija, Lidija
PY  - 2004
UR  - https://dais.sanu.ac.rs/123456789/13365
AB  - In this paper we describe the properties of peptide plane of amino acids from a biophysical point of view. We use Lagrange's equations to calculate the energy states of peptide plain and to explain its biophysical proper-ties. We calculate both the energy distribution of each atom in the peptide plain and the energy distribution of peptide plains in a protein chain. As examples, we make calculations of the energy state for collagen, integrin and tubulin peptide chains. We found out that there are no two peptide plains with the same energy state in a single protein chain. Energy distribution of peptide plains is predicted by Gibbs statistics distribution and therefore we named the peptide plain Gibbson. The Gibbson is an elementary quasi particle, "biological condensate", on a nanometer scale. The relationship between Gibbs' energy distribution of collagen, integrin and tubulin opens a new view for understanding cells and tissues communication. This knowledge could be relevant for nanoscience, biomedicine and nanotechnology.
PB  - Trans Tech Publications Ltd, Durnten-Zurich
T2  - Progress in Advanced Materials and Processes
T1  - Gibbson: Peptide plane as a unique biological nanostructure
SP  - 529
EP  - 536
VL  - 453-454
DO  - 10.4028/www.scientific.net/MSF.453-454.529
UR  - https://hdl.handle.net/21.15107/rcub_dais_13365
ER  - 

@article{
author = "Koruga, Đuro and Tomić, A. and Ratkaj, Z. and Matija, Lidija",
year = "2004",
abstract = "In this paper we describe the properties of peptide plane of amino acids from a biophysical point of view. We use Lagrange's equations to calculate the energy states of peptide plain and to explain its biophysical proper-ties. We calculate both the energy distribution of each atom in the peptide plain and the energy distribution of peptide plains in a protein chain. As examples, we make calculations of the energy state for collagen, integrin and tubulin peptide chains. We found out that there are no two peptide plains with the same energy state in a single protein chain. Energy distribution of peptide plains is predicted by Gibbs statistics distribution and therefore we named the peptide plain Gibbson. The Gibbson is an elementary quasi particle, "biological condensate", on a nanometer scale. The relationship between Gibbs' energy distribution of collagen, integrin and tubulin opens a new view for understanding cells and tissues communication. This knowledge could be relevant for nanoscience, biomedicine and nanotechnology.",
publisher = "Trans Tech Publications Ltd, Durnten-Zurich",
journal = "Progress in Advanced Materials and Processes",
title = "Gibbson: Peptide plane as a unique biological nanostructure",
pages = "529-536",
volume = "453-454",
doi = "10.4028/www.scientific.net/MSF.453-454.529",
url = "https://hdl.handle.net/21.15107/rcub_dais_13365"
}

Koruga, Đ., Tomić, A., Ratkaj, Z.,& Matija, L.. (2004). Gibbson: Peptide plane as a unique biological nanostructure. in Progress in Advanced Materials and Processes
Trans Tech Publications Ltd, Durnten-Zurich., 453-454, 529-536.
https://doi.org/10.4028/www.scientific.net/MSF.453-454.529
https://hdl.handle.net/21.15107/rcub_dais_13365

Koruga Đ, Tomić A, Ratkaj Z, Matija L. Gibbson: Peptide plane as a unique biological nanostructure. in Progress in Advanced Materials and Processes. 2004;453-454:529-536.
doi:10.4028/www.scientific.net/MSF.453-454.529
https://hdl.handle.net/21.15107/rcub_dais_13365 .

Koruga, Đuro, Tomić, A., Ratkaj, Z., Matija, Lidija, "Gibbson: Peptide plane as a unique biological nanostructure" in Progress in Advanced Materials and Processes, 453-454 (2004):529-536,
https://doi.org/10.4028/www.scientific.net/MSF.453-454.529 .,
https://hdl.handle.net/21.15107/rcub_dais_13365 .