TY  - JOUR
AU  - Tomantschger, Kurt
AU  - Petrović, Dragan V.
AU  - Radojević, Rade L.
AU  - Tadić, Vjekoslav
PY  - 2021
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/5927
AB  - One of the technical factors from agricultural nozzles and overall plant protection is droplet diameter, which exclusively depends on working pressure, ISO number and nozzle type. Therefore, this paper was aimed to describe mathematical model for droplet size distribution. Through field exploitation experiment, data was used from three ISO numbers of nozzles (hollow cone 80 015; 02 and 03), two air-assisted sprayers (axial and radial fan) and two permanent crops (vineyard and an apple orchard). Water sensitive papers were used for evaluation of droplet diameters, and digital image analysis with Image J software was used for data processing. Mathematical model through homogenous diffusion equation and simplified differential equation shows that droplet size distribution had exponential function of modelling. Theoretical mathematical model was confirmed in experimental results, where coefficient of determination of exponential regression model for 80 015 nozzles was 0.93 with 5.15 of RMSE. The same coefficient for 80 02 nozzles was 0.96 with 2.88 of RMSE and for 80 03 nozzle R2 was 0.93 with 3.25 of RMSE. In addition, it is proved that droplet diameter depends on operating pressure with very high negative correlation (80 03 nozzles: r = −0.98; 80 02 nozzles: r = −0.97; 80 015 nozzles: r = −0.95). This data will help future researchers in their papers to facilitate and describe similar models for plat protection processes, and all agricultural producers to determine optimal operating pressure which is immensely important in economic, biologic, technical and ecologic aspect.
PB  - Strojarski Facultet
T2  - Tehnicki Vjesnik
T1  - Mathematical Method for Droplet Size Distribution of Agricultural Nozzles
EP  - 1754
IS  - 5
SP  - 1749
VL  - 28
DO  - 10.17559/TV-20200428144856
ER  - 

@article{
author = "Tomantschger, Kurt and Petrović, Dragan V. and Radojević, Rade L. and Tadić, Vjekoslav",
year = "2021",
abstract = "One of the technical factors from agricultural nozzles and overall plant protection is droplet diameter, which exclusively depends on working pressure, ISO number and nozzle type. Therefore, this paper was aimed to describe mathematical model for droplet size distribution. Through field exploitation experiment, data was used from three ISO numbers of nozzles (hollow cone 80 015; 02 and 03), two air-assisted sprayers (axial and radial fan) and two permanent crops (vineyard and an apple orchard). Water sensitive papers were used for evaluation of droplet diameters, and digital image analysis with Image J software was used for data processing. Mathematical model through homogenous diffusion equation and simplified differential equation shows that droplet size distribution had exponential function of modelling. Theoretical mathematical model was confirmed in experimental results, where coefficient of determination of exponential regression model for 80 015 nozzles was 0.93 with 5.15 of RMSE. The same coefficient for 80 02 nozzles was 0.96 with 2.88 of RMSE and for 80 03 nozzle R2 was 0.93 with 3.25 of RMSE. In addition, it is proved that droplet diameter depends on operating pressure with very high negative correlation (80 03 nozzles: r = −0.98; 80 02 nozzles: r = −0.97; 80 015 nozzles: r = −0.95). This data will help future researchers in their papers to facilitate and describe similar models for plat protection processes, and all agricultural producers to determine optimal operating pressure which is immensely important in economic, biologic, technical and ecologic aspect.",
publisher = "Strojarski Facultet",
journal = "Tehnicki Vjesnik",
title = "Mathematical Method for Droplet Size Distribution of Agricultural Nozzles",
pages = "1754-1749",
number = "5",
volume = "28",
doi = "10.17559/TV-20200428144856"
}

Tomantschger, K., Petrović, D. V., Radojević, R. L.,& Tadić, V.. (2021). Mathematical Method for Droplet Size Distribution of Agricultural Nozzles. in Tehnicki Vjesnik
Strojarski Facultet., 28(5), 1749-1754.
https://doi.org/10.17559/TV-20200428144856

Tomantschger K, Petrović DV, Radojević RL, Tadić V. Mathematical Method for Droplet Size Distribution of Agricultural Nozzles. in Tehnicki Vjesnik. 2021;28(5):1749-1754.
doi:10.17559/TV-20200428144856 .

Tomantschger, Kurt, Petrović, Dragan V., Radojević, Rade L., Tadić, Vjekoslav, "Mathematical Method for Droplet Size Distribution of Agricultural Nozzles" in Tehnicki Vjesnik, 28, no. 5 (2021):1749-1754,
https://doi.org/10.17559/TV-20200428144856 . .

TY  - JOUR
AU  - Tomantschger, Kurt
AU  - Petrović, Dragan
AU  - Radojević, Rade
AU  - Golubović, Zorana Z.
AU  - Tadić, Vjekoslav
PY  - 2017
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/4341
AB  - Many filtration systems employing perlite granulations have been designed so far. Size distribution of perlite particles directly influences the retention properties of filter media. The information on the size distribution of perlite particles, used in each specific dead-end filtration process (the flow of fluid being filtered is perpendicular to the surface of filter medium), is crucial for the adequate design of filter medium. In order to facilitate the design of filter systems possessing filter media of this kind, a new and particular mathematical model has been developed for this present study. It is based on an appropriate partial differential equation and additional mathematical conditions, whose solution is an exponential function describing the probability density distribution of perlite particle sizes. The formulated model was experimentally verified by measuring the particle sizes of a perlite granulation using the morphometric method, based on the application of a standard light microscope and digital image analysis software. The fitting procedure of experimental data gave acceptable values of accuracy parameters - high R-square factor (R-2 = 0,905) and small value of the root-mean square error (MSE = 0,490).
PB  - Univ Osijek, Tech Fac, Slavonski Brod
T2  - Tehnički vjesnik-Technical Gazette
T1  - One-dimensional diffusion equation for the particle size distribution of perlite filter granulation
EP  - 948
IS  - 3
SP  - 943
VL  - 24
DO  - 10.17559/TV-20151202204533
ER  - 

@article{
author = "Tomantschger, Kurt and Petrović, Dragan and Radojević, Rade and Golubović, Zorana Z. and Tadić, Vjekoslav",
year = "2017",
abstract = "Many filtration systems employing perlite granulations have been designed so far. Size distribution of perlite particles directly influences the retention properties of filter media. The information on the size distribution of perlite particles, used in each specific dead-end filtration process (the flow of fluid being filtered is perpendicular to the surface of filter medium), is crucial for the adequate design of filter medium. In order to facilitate the design of filter systems possessing filter media of this kind, a new and particular mathematical model has been developed for this present study. It is based on an appropriate partial differential equation and additional mathematical conditions, whose solution is an exponential function describing the probability density distribution of perlite particle sizes. The formulated model was experimentally verified by measuring the particle sizes of a perlite granulation using the morphometric method, based on the application of a standard light microscope and digital image analysis software. The fitting procedure of experimental data gave acceptable values of accuracy parameters - high R-square factor (R-2 = 0,905) and small value of the root-mean square error (MSE = 0,490).",
publisher = "Univ Osijek, Tech Fac, Slavonski Brod",
journal = "Tehnički vjesnik-Technical Gazette",
title = "One-dimensional diffusion equation for the particle size distribution of perlite filter granulation",
pages = "948-943",
number = "3",
volume = "24",
doi = "10.17559/TV-20151202204533"
}

Tomantschger, K., Petrović, D., Radojević, R., Golubović, Z. Z.,& Tadić, V.. (2017). One-dimensional diffusion equation for the particle size distribution of perlite filter granulation. in Tehnički vjesnik-Technical Gazette
Univ Osijek, Tech Fac, Slavonski Brod., 24(3), 943-948.
https://doi.org/10.17559/TV-20151202204533

Tomantschger K, Petrović D, Radojević R, Golubović ZZ, Tadić V. One-dimensional diffusion equation for the particle size distribution of perlite filter granulation. in Tehnički vjesnik-Technical Gazette. 2017;24(3):943-948.
doi:10.17559/TV-20151202204533 .

Tomantschger, Kurt, Petrović, Dragan, Radojević, Rade, Golubović, Zorana Z., Tadić, Vjekoslav, "One-dimensional diffusion equation for the particle size distribution of perlite filter granulation" in Tehnički vjesnik-Technical Gazette, 24, no. 3 (2017):943-948,
https://doi.org/10.17559/TV-20151202204533 . .

TY  - JOUR
AU  - Barać, Saša
AU  - Petrović, Dragan
AU  - Radojević, Rade
AU  - Tomantschger, Kurt
PY  - 2016
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/4295
AB  - Proper seed distribution over area and depth is the essential condition that provides later uniform plants distribution over the vegetation space. Paper presents statistical analysis of two drills accuracy results in winter rye sowing. Experiment was done in north Kosovo, during rye sowing with two mechanical seed drills, OLT Gama and IMT 634.23. Besides the comparative analysis of the sowing results achieved by these two drills, in the paper is tested and verified the applicability of Gaussian function for analytical description of longitudinal, transverse and depth distribution of winter rye seed at the experimental plot.
AB  - Pravilna raspodela semena po površini i dubini predstavlja osnovni uslov za obezbedjenje ravnomerne raspodele biljaka u vegetacionom prostoru. U radu je predstavljena statistička analiza rezultata ispitivanja tačnosti distribucije semena dve uskoredne sejalice u setvi ozime raži. Ispitivanja su izvedena na severu Kosova, u toku setve semena raži primenom dve sejalice Olt Gama 14 i IMT 634.23. Osim komparativne analize rezultata setve koji su dobijeni primenom ove dve sejalice, u radu je testirana i proverena primenljivost Gausove funkcije za analitičko opisivanje uzdužne, poprečne i raspodele semena ozime raži po dubini na eksperimentalnoj parceli.
PB  - Nacionalno naučno društvo za poljoprivrednu tehniku, Novi Sad
T2  - Savremena poljoprivredna tehnika
T1  - Seed spacing and depth in winter rye sowing
T1  - Razmak i dubina setve semena ozime raži
EP  - 10
IS  - 1
SP  - 1
VL  - 42
DO  - 10.5937/SavPoljTeh1601001B
ER  - 

@article{
author = "Barać, Saša and Petrović, Dragan and Radojević, Rade and Tomantschger, Kurt",
year = "2016",
abstract = "Proper seed distribution over area and depth is the essential condition that provides later uniform plants distribution over the vegetation space. Paper presents statistical analysis of two drills accuracy results in winter rye sowing. Experiment was done in north Kosovo, during rye sowing with two mechanical seed drills, OLT Gama and IMT 634.23. Besides the comparative analysis of the sowing results achieved by these two drills, in the paper is tested and verified the applicability of Gaussian function for analytical description of longitudinal, transverse and depth distribution of winter rye seed at the experimental plot., Pravilna raspodela semena po površini i dubini predstavlja osnovni uslov za obezbedjenje ravnomerne raspodele biljaka u vegetacionom prostoru. U radu je predstavljena statistička analiza rezultata ispitivanja tačnosti distribucije semena dve uskoredne sejalice u setvi ozime raži. Ispitivanja su izvedena na severu Kosova, u toku setve semena raži primenom dve sejalice Olt Gama 14 i IMT 634.23. Osim komparativne analize rezultata setve koji su dobijeni primenom ove dve sejalice, u radu je testirana i proverena primenljivost Gausove funkcije za analitičko opisivanje uzdužne, poprečne i raspodele semena ozime raži po dubini na eksperimentalnoj parceli.",
publisher = "Nacionalno naučno društvo za poljoprivrednu tehniku, Novi Sad",
journal = "Savremena poljoprivredna tehnika",
title = "Seed spacing and depth in winter rye sowing, Razmak i dubina setve semena ozime raži",
pages = "10-1",
number = "1",
volume = "42",
doi = "10.5937/SavPoljTeh1601001B"
}

Barać, S., Petrović, D., Radojević, R.,& Tomantschger, K.. (2016). Seed spacing and depth in winter rye sowing. in Savremena poljoprivredna tehnika
Nacionalno naučno društvo za poljoprivrednu tehniku, Novi Sad., 42(1), 1-10.
https://doi.org/10.5937/SavPoljTeh1601001B

Barać S, Petrović D, Radojević R, Tomantschger K. Seed spacing and depth in winter rye sowing. in Savremena poljoprivredna tehnika. 2016;42(1):1-10.
doi:10.5937/SavPoljTeh1601001B .

Barać, Saša, Petrović, Dragan, Radojević, Rade, Tomantschger, Kurt, "Seed spacing and depth in winter rye sowing" in Savremena poljoprivredna tehnika, 42, no. 1 (2016):1-10,
https://doi.org/10.5937/SavPoljTeh1601001B . .

TY  - JOUR
AU  - Radojević, Rade
AU  - Petrović, Dragan
AU  - Tomantschger, Kurt
AU  - Radojević, Mirjana
PY  - 2013
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/3216
AB  - So far, many types, styles and sizes of mowing equipment has been developed and introduced in the agricultural practice. Therefore, leaf crops harvesting seems to be easier to mechanize with respect to other cultivars. However, keeping the leaf matter clean and loaded into a dryer without contaminants limits the kind of mechanization that can be used. In this paper is given a general review of Parsley (Petroselinum crispum) crops properties, possible benefits of its applications and basic principles of mechanized growing technology. In addition a simplified agroeconomical calculation of the production costs against possible income from sold vegetables, based on current prices expressed in euros is also provided. This way, the production of Parsley herbs is justified from medical, nutritive, culinary and economical points of view. Finally, results of testing three harvesters of different design, applied for collecting and preparation of parsley leaves at parcels in the region of south Banat (North Serbia) are presented and analysed. Measurements comprehended following working parameters: harvester velocity, loss of acquired crop and cutting lengths distribution of parsley leafs.
AB  - Do sada je razvijen i uveden u poljoprivrednu proizvodnju veliki broj tipova i konstrukcija mašina za košenje. Stoga se čini da je mehanizovanje žetve lisnatih useva lakše u poređenju sa ostalim kulturama. Ipak, očuvanje čistoće lisnatih useva i njihov utovar u sušare bez neželjenih kontaminanata ograničava vrstu opreme koja se može koristiti. U radu je prikazan opšti pregled opreme i postupaka za mehanizovano ubiranje peršuna (Petroselinum crispum). Na osnovu uprošćene ekonomske analize, zasnovane na tekućim cenama u Srbiji izraženim u evrima, potvrđena je opravdanost uzgoja ove poljoprivredne kulture sa ekonomske tačke gledišta. Konačno, prikazani su i analizirani rezultati uporednog testiranja tri kombajna različite konstrukcije, primenjene za sakupljanje i pripremu lišća peršuna na parcelama u regionu južnog Banata (severna Srbija). Merenjem su obuhvaćeni: brzina kombajna, gubici sakupljenog useva i raspodela dužina isečenih frakcija peršuna.
PB  - Univerzitet u Beogradu - Poljoprivredni fakultet - Institut za poljoprivrednu tehniku, Beograd
T2  - Poljoprivredna tehnika
T1  - Mechanized harvesting of leafy parsley crops in the region of South Banat
T1  - Mehanizovana berba peršuna u regionu Južnog Banata
EP  - 47
IS  - 1
SP  - 39
VL  - 38
UR  - https://hdl.handle.net/21.15107/rcub_agrospace_3216
ER  - 

@article{
author = "Radojević, Rade and Petrović, Dragan and Tomantschger, Kurt and Radojević, Mirjana",
year = "2013",
abstract = "So far, many types, styles and sizes of mowing equipment has been developed and introduced in the agricultural practice. Therefore, leaf crops harvesting seems to be easier to mechanize with respect to other cultivars. However, keeping the leaf matter clean and loaded into a dryer without contaminants limits the kind of mechanization that can be used. In this paper is given a general review of Parsley (Petroselinum crispum) crops properties, possible benefits of its applications and basic principles of mechanized growing technology. In addition a simplified agroeconomical calculation of the production costs against possible income from sold vegetables, based on current prices expressed in euros is also provided. This way, the production of Parsley herbs is justified from medical, nutritive, culinary and economical points of view. Finally, results of testing three harvesters of different design, applied for collecting and preparation of parsley leaves at parcels in the region of south Banat (North Serbia) are presented and analysed. Measurements comprehended following working parameters: harvester velocity, loss of acquired crop and cutting lengths distribution of parsley leafs., Do sada je razvijen i uveden u poljoprivrednu proizvodnju veliki broj tipova i konstrukcija mašina za košenje. Stoga se čini da je mehanizovanje žetve lisnatih useva lakše u poređenju sa ostalim kulturama. Ipak, očuvanje čistoće lisnatih useva i njihov utovar u sušare bez neželjenih kontaminanata ograničava vrstu opreme koja se može koristiti. U radu je prikazan opšti pregled opreme i postupaka za mehanizovano ubiranje peršuna (Petroselinum crispum). Na osnovu uprošćene ekonomske analize, zasnovane na tekućim cenama u Srbiji izraženim u evrima, potvrđena je opravdanost uzgoja ove poljoprivredne kulture sa ekonomske tačke gledišta. Konačno, prikazani su i analizirani rezultati uporednog testiranja tri kombajna različite konstrukcije, primenjene za sakupljanje i pripremu lišća peršuna na parcelama u regionu južnog Banata (severna Srbija). Merenjem su obuhvaćeni: brzina kombajna, gubici sakupljenog useva i raspodela dužina isečenih frakcija peršuna.",
publisher = "Univerzitet u Beogradu - Poljoprivredni fakultet - Institut za poljoprivrednu tehniku, Beograd",
journal = "Poljoprivredna tehnika",
title = "Mechanized harvesting of leafy parsley crops in the region of South Banat, Mehanizovana berba peršuna u regionu Južnog Banata",
pages = "47-39",
number = "1",
volume = "38",
url = "https://hdl.handle.net/21.15107/rcub_agrospace_3216"
}

Radojević, R., Petrović, D., Tomantschger, K.,& Radojević, M.. (2013). Mechanized harvesting of leafy parsley crops in the region of South Banat. in Poljoprivredna tehnika
Univerzitet u Beogradu - Poljoprivredni fakultet - Institut za poljoprivrednu tehniku, Beograd., 38(1), 39-47.
https://hdl.handle.net/21.15107/rcub_agrospace_3216

Radojević R, Petrović D, Tomantschger K, Radojević M. Mechanized harvesting of leafy parsley crops in the region of South Banat. in Poljoprivredna tehnika. 2013;38(1):39-47.
https://hdl.handle.net/21.15107/rcub_agrospace_3216 .

Radojević, Rade, Petrović, Dragan, Tomantschger, Kurt, Radojević, Mirjana, "Mechanized harvesting of leafy parsley crops in the region of South Banat" in Poljoprivredna tehnika, 38, no. 1 (2013):39-47,
https://hdl.handle.net/21.15107/rcub_agrospace_3216 .

TY  - CONF
AU  - Petrović, Dragan
AU  - Radojević, Rade
AU  - Tomantschger, Kurt
AU  - Golubović, Z.Z.
PY  - 2012
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/2836
PB  - 29th Danubia-Adria Symposium on Advances in Experimental Mechanics, DAS 2012
C3  - 29th Danubia - Adria Symposium on Advances in Experimental Mechanics, DAS 2012
T1  - The uniformity of wheat seeding over an area and depth
EP  - 169
SP  - 166
UR  - https://hdl.handle.net/21.15107/rcub_agrospace_2836
ER  - 

@conference{
author = "Petrović, Dragan and Radojević, Rade and Tomantschger, Kurt and Golubović, Z.Z.",
year = "2012",
publisher = "29th Danubia-Adria Symposium on Advances in Experimental Mechanics, DAS 2012",
journal = "29th Danubia - Adria Symposium on Advances in Experimental Mechanics, DAS 2012",
title = "The uniformity of wheat seeding over an area and depth",
pages = "169-166",
url = "https://hdl.handle.net/21.15107/rcub_agrospace_2836"
}

Petrović, D., Radojević, R., Tomantschger, K.,& Golubović, Z.Z.. (2012). The uniformity of wheat seeding over an area and depth. in 29th Danubia - Adria Symposium on Advances in Experimental Mechanics, DAS 2012
29th Danubia-Adria Symposium on Advances in Experimental Mechanics, DAS 2012., 166-169.
https://hdl.handle.net/21.15107/rcub_agrospace_2836

Petrović D, Radojević R, Tomantschger K, Golubović Z. The uniformity of wheat seeding over an area and depth. in 29th Danubia - Adria Symposium on Advances in Experimental Mechanics, DAS 2012. 2012;:166-169.
https://hdl.handle.net/21.15107/rcub_agrospace_2836 .

Petrović, Dragan, Radojević, Rade, Tomantschger, Kurt, Golubović, Z.Z., "The uniformity of wheat seeding over an area and depth" in 29th Danubia - Adria Symposium on Advances in Experimental Mechanics, DAS 2012 (2012):166-169,
https://hdl.handle.net/21.15107/rcub_agrospace_2836 .

TY  - JOUR
AU  - Petrović, Dragan
AU  - Golubović, Zoran dj.
AU  - Dajić, Zora
AU  - Tomantschger, Kurt
AU  - Radojević, Rade
PY  - 2012
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/2874
AB  - The plant cell walls play an important role in defining the shape and size of the plant cell, matter flow regulation, mitigation of environmental influences and achievement of homeostasis, as well as in defense and protection against pathogens in plant tissues and organs. This paper presents an original approach to the establishment of the mathematical model based upon the former study dealing with the surface nano-roughness distribution of the model cell wall. The differential equation accompanied with the appropriate additional conditions, which describes such kind of distributions, has been formulated and presented. The developed model was tested using the already reported experimental data of an artificial cell wall, made of polysaccharides based on bacterial cellulose supplemented with xyloglucan and pectin (BCPX) that imitate properties of the natural cell wall. It has been demonstrated that proposed differential equation, has an analytical solution in the form of the normal Gaussian distribution, which describes the surface roughness of cell walls made of this material accurately.
AB  - Ćelijski zidovi biljaka imaju značajnu ulogu u definisanju oblika i veličina biljnih ćelija, kao i regulaciji razmene materija, zaštiti ćelijskih tkiva i organa od patogenih klica, ublažavanje nepovoljnih uticaja okoline itd. U ovom radu je prikazan originalni pristup formiranju matematičkog modela za opisivanje raspodele površinske nano-hrapavosti veštačkog modela ćelijskog zida. Formulisana je diferencijalna jednačina sa odgovarajućim dodatnim uslovima, koja opisuje raspodele navedenog tipa Razvijeni model je testiran koristeći postojeće (objavljene) eksperimentalne podatke merenja površinske hrapavosti veštačkih model-materijala ćelijskih zidova, izrađenih od polisaharida zasnovanih na bakterijskoj celulozi oplemenjenoj ksiloglukanom i pektinom (BCPX), koji imitira svojstva prirodnih ćelijskih zidova. Potvrđeno je da predložena diferencijalna jednačina ima analitičko rešenje u formi Gausove funkcije, koja precizno opisuje hrapavost ćelijskih zidova napravljenih od ovog materijala.
PB  - Univerzitet u Nišu, Niš
T2  - Facta universitatis - series: Mechanical Engineering
T1  - Mathematical modeling the surface roughness distribution of artificial cell wall material
T1  - Matematičko modeliranje raspodele površinske hrapavosti veštačkog ćelijskog zida
EP  - 6
IS  - 1
SP  - 1
VL  - 10
UR  - https://hdl.handle.net/21.15107/rcub_agrospace_2874
ER  - 

@article{
author = "Petrović, Dragan and Golubović, Zoran dj. and Dajić, Zora and Tomantschger, Kurt and Radojević, Rade",
year = "2012",
abstract = "The plant cell walls play an important role in defining the shape and size of the plant cell, matter flow regulation, mitigation of environmental influences and achievement of homeostasis, as well as in defense and protection against pathogens in plant tissues and organs. This paper presents an original approach to the establishment of the mathematical model based upon the former study dealing with the surface nano-roughness distribution of the model cell wall. The differential equation accompanied with the appropriate additional conditions, which describes such kind of distributions, has been formulated and presented. The developed model was tested using the already reported experimental data of an artificial cell wall, made of polysaccharides based on bacterial cellulose supplemented with xyloglucan and pectin (BCPX) that imitate properties of the natural cell wall. It has been demonstrated that proposed differential equation, has an analytical solution in the form of the normal Gaussian distribution, which describes the surface roughness of cell walls made of this material accurately., Ćelijski zidovi biljaka imaju značajnu ulogu u definisanju oblika i veličina biljnih ćelija, kao i regulaciji razmene materija, zaštiti ćelijskih tkiva i organa od patogenih klica, ublažavanje nepovoljnih uticaja okoline itd. U ovom radu je prikazan originalni pristup formiranju matematičkog modela za opisivanje raspodele površinske nano-hrapavosti veštačkog modela ćelijskog zida. Formulisana je diferencijalna jednačina sa odgovarajućim dodatnim uslovima, koja opisuje raspodele navedenog tipa Razvijeni model je testiran koristeći postojeće (objavljene) eksperimentalne podatke merenja površinske hrapavosti veštačkih model-materijala ćelijskih zidova, izrađenih od polisaharida zasnovanih na bakterijskoj celulozi oplemenjenoj ksiloglukanom i pektinom (BCPX), koji imitira svojstva prirodnih ćelijskih zidova. Potvrđeno je da predložena diferencijalna jednačina ima analitičko rešenje u formi Gausove funkcije, koja precizno opisuje hrapavost ćelijskih zidova napravljenih od ovog materijala.",
publisher = "Univerzitet u Nišu, Niš",
journal = "Facta universitatis - series: Mechanical Engineering",
title = "Mathematical modeling the surface roughness distribution of artificial cell wall material, Matematičko modeliranje raspodele površinske hrapavosti veštačkog ćelijskog zida",
pages = "6-1",
number = "1",
volume = "10",
url = "https://hdl.handle.net/21.15107/rcub_agrospace_2874"
}

Petrović, D., Golubović, Z. dj., Dajić, Z., Tomantschger, K.,& Radojević, R.. (2012). Mathematical modeling the surface roughness distribution of artificial cell wall material. in Facta universitatis - series: Mechanical Engineering
Univerzitet u Nišu, Niš., 10(1), 1-6.
https://hdl.handle.net/21.15107/rcub_agrospace_2874

Petrović D, Golubović ZD, Dajić Z, Tomantschger K, Radojević R. Mathematical modeling the surface roughness distribution of artificial cell wall material. in Facta universitatis - series: Mechanical Engineering. 2012;10(1):1-6.
https://hdl.handle.net/21.15107/rcub_agrospace_2874 .

Petrović, Dragan, Golubović, Zoran dj., Dajić, Zora, Tomantschger, Kurt, Radojević, Rade, "Mathematical modeling the surface roughness distribution of artificial cell wall material" in Facta universitatis - series: Mechanical Engineering, 10, no. 1 (2012):1-6,
https://hdl.handle.net/21.15107/rcub_agrospace_2874 .

TY  - JOUR
AU  - Tomantschger, Kurt
AU  - Petrović, Dragan
AU  - Golubović, Zorana
AU  - Trisović, Nataša
PY  - 2012
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/2944
AB  - Diatomaceous Earth, also known as diatomite, diatomaceous silica, or kieselguhr is the material of natural origin which is composed of the skeletons of diatoms, single-celled algae, which are accumulated in huge beds. Some diatomite's are industrially processed and used for different applications most frequently as filter aid. Particle size distribution of any filter granulation, composed of these materials, has to be appropriately prepared. A mathematical model of particle size distribution of a kieselguhr granulation is presented in this paper and experimentally verified. Particle sizes of a kieselguhr granulation are measured by the microscopic morphometric method, ordinarily used in the experimental microbiology, and the empirical probability density function (pdf) of particle sizes is formulated Experimental pdf data are fitted according to the exponential function, which represents a solution of a developed model of differential equation. The fitting procedure followed the iterative algorithm of Levenberg-Marquardt to adjust the parameter values. This way, an experimentally determined pdf can be approximated with an analytic function with a small number of constants in the adopted model of fit function. This approach facilitates further modeling and analysis of filtering mediums. Based on the particle sizes, pdf's of different kieselguhr, and perlite granulations, it is possible to determine an optimal medium mixture (containing different filtration granulations), depending of the filtration requirements.
PB  - Editura Stiintifica Fmr, Bucharest
T2  - Metalurgia International
T1  - Mathematical model for the particle size distribution of a kieselguhr filter granulation
EP  - 197
IS  - 10
SP  - 192
VL  - 17
UR  - https://hdl.handle.net/21.15107/rcub_agrospace_2944
ER  - 

@article{
author = "Tomantschger, Kurt and Petrović, Dragan and Golubović, Zorana and Trisović, Nataša",
year = "2012",
abstract = "Diatomaceous Earth, also known as diatomite, diatomaceous silica, or kieselguhr is the material of natural origin which is composed of the skeletons of diatoms, single-celled algae, which are accumulated in huge beds. Some diatomite's are industrially processed and used for different applications most frequently as filter aid. Particle size distribution of any filter granulation, composed of these materials, has to be appropriately prepared. A mathematical model of particle size distribution of a kieselguhr granulation is presented in this paper and experimentally verified. Particle sizes of a kieselguhr granulation are measured by the microscopic morphometric method, ordinarily used in the experimental microbiology, and the empirical probability density function (pdf) of particle sizes is formulated Experimental pdf data are fitted according to the exponential function, which represents a solution of a developed model of differential equation. The fitting procedure followed the iterative algorithm of Levenberg-Marquardt to adjust the parameter values. This way, an experimentally determined pdf can be approximated with an analytic function with a small number of constants in the adopted model of fit function. This approach facilitates further modeling and analysis of filtering mediums. Based on the particle sizes, pdf's of different kieselguhr, and perlite granulations, it is possible to determine an optimal medium mixture (containing different filtration granulations), depending of the filtration requirements.",
publisher = "Editura Stiintifica Fmr, Bucharest",
journal = "Metalurgia International",
title = "Mathematical model for the particle size distribution of a kieselguhr filter granulation",
pages = "197-192",
number = "10",
volume = "17",
url = "https://hdl.handle.net/21.15107/rcub_agrospace_2944"
}

Tomantschger, K., Petrović, D., Golubović, Z.,& Trisović, N.. (2012). Mathematical model for the particle size distribution of a kieselguhr filter granulation. in Metalurgia International
Editura Stiintifica Fmr, Bucharest., 17(10), 192-197.
https://hdl.handle.net/21.15107/rcub_agrospace_2944

Tomantschger K, Petrović D, Golubović Z, Trisović N. Mathematical model for the particle size distribution of a kieselguhr filter granulation. in Metalurgia International. 2012;17(10):192-197.
https://hdl.handle.net/21.15107/rcub_agrospace_2944 .

Tomantschger, Kurt, Petrović, Dragan, Golubović, Zorana, Trisović, Nataša, "Mathematical model for the particle size distribution of a kieselguhr filter granulation" in Metalurgia International, 17, no. 10 (2012):192-197,
https://hdl.handle.net/21.15107/rcub_agrospace_2944 .

TY  - JOUR
AU  - Tomantschger, Kurt
AU  - Petrović, Dragan
AU  - Golubović, Zoran D.
AU  - Mileusnić, Zoran
PY  - 2011
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/2434
AB  - A novel mathematical model for the tractor engine durability, based on the appropriate differential equation and conditions, is formulated and presented in this paper. Its practical applicability is experimentally verified for the tractor type Massey-Ferguson 8160. The probability density function of the engine's lifespan, as long as the overhaul is needed, is established and approximated by normal Gaussian function. Fitting coefficients are evaluated through the non-linear fitting of empirical data by Levenberg-Marquardt numerical algorithm.
T2  - African Journal of Agricultural Research
T1  - Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160
EP  - 4391
IS  - 18
SP  - 4385
VL  - 6
UR  - https://hdl.handle.net/21.15107/rcub_agrospace_2434
ER  - 

@article{
author = "Tomantschger, Kurt and Petrović, Dragan and Golubović, Zoran D. and Mileusnić, Zoran",
year = "2011",
abstract = "A novel mathematical model for the tractor engine durability, based on the appropriate differential equation and conditions, is formulated and presented in this paper. Its practical applicability is experimentally verified for the tractor type Massey-Ferguson 8160. The probability density function of the engine's lifespan, as long as the overhaul is needed, is established and approximated by normal Gaussian function. Fitting coefficients are evaluated through the non-linear fitting of empirical data by Levenberg-Marquardt numerical algorithm.",
journal = "African Journal of Agricultural Research",
title = "Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160",
pages = "4391-4385",
number = "18",
volume = "6",
url = "https://hdl.handle.net/21.15107/rcub_agrospace_2434"
}

Tomantschger, K., Petrović, D., Golubović, Z. D.,& Mileusnić, Z.. (2011). Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160. in African Journal of Agricultural Research, 6(18), 4385-4391.
https://hdl.handle.net/21.15107/rcub_agrospace_2434

Tomantschger K, Petrović D, Golubović ZD, Mileusnić Z. Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160. in African Journal of Agricultural Research. 2011;6(18):4385-4391.
https://hdl.handle.net/21.15107/rcub_agrospace_2434 .

Tomantschger, Kurt, Petrović, Dragan, Golubović, Zoran D., Mileusnić, Zoran, "Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160" in African Journal of Agricultural Research, 6, no. 18 (2011):4385-4391,
https://hdl.handle.net/21.15107/rcub_agrospace_2434 .