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Year 2025, Early View, 1 - 1
https://doi.org/10.35378/gujs.1692128

Abstract

References

  • REFERENCES
  • [1] Baytop, T., “Herbal Treatment in Turkey”, Nobel Medical Publishing House, (1999).
  • [2] Sezik, E., “History of Medicinal Plants”, Mised Magazine, TEB Publication, (2008).
  • [3] Dağdeviren, A., Acar, B., Aydın, M., “Alternative heat insulation method for rigid construction walls”, International Journal Energy Studies, 6(1): 19-35, (2021). DOI: https://doi.org/10.2339/politeknik.917063
  • [4] Hussan, A., Levacher, D., Mezazigh, A., “Investigation of natural dewatering of dredged sediments incorporating evaporation and drainage”, Drying Technology, 41(1): 2227-2240, (2023). DOI: https://doi.org/10.1080/07373937.2023.2228879
  • [5] Yıldız, T., Klein, S., Gleib, M., Nirschl, H., “Vibration compaction of compressible filter cakes for mechanical deliquoring on a horizontal vacuum belt filter”, Drying Technology, 41(1): 1484-1497, (2023). DOI: https://doi.org/10.1080/07373937.2022.2163497
  • [6] Moraga, G., Talens, P., Moraga, M. J., Martinez, N, et al., “ Implication of water activity and glass transition on the mechanical and optical properties of freeze-dried apple and banana slices” Journal of Food Engineering, 106: 212-219, (2011). DOI: https://doi.org/10.1016/j.jfoodeng.2011.05.009
  • [7] Zaichick, V., Zaichick, S., J., “A search for losses of chemical elements during freeze-drying of biological materials”, Journal of Radioanalytical and Nuclear Chemistry, 218: 249-253, (1997). DOI: https://doi.org/10.1007/bf02039345
  • [8] Wang, J., Li, Y. Z., Chen, R. R., Bao, J. Y., Yang, G., M., “Comparison of volatiles of banana powder dehydrated by vacuum belt drying, freeze-drying and air-drying”, Food Chemistry, 104: 1516-1521, (2007). DOI: https://doi.org/10.1016/j.foodchem.2007.02.029
  • [9] Khampakool, A., Soisungwan, S., Park, S. H., “Potential application of infrared assisted freeze drying (IRAFD) for banana snacks: Drying kinetics, energy consumption, and texture”, Food Science and Technology, 99: 355-363, (2019). DOI: https://doi.org/10.1016/j.lwt.2018.09.081
  • [10] Jiang, H., Zhang, M., Mujumdar, A. S., “Physico-chemical changes during different stages of MFD/FD banana chips”, Journal of Food Engineering, 101: 140-145, (2010). DOI: https://doi.org/10.1016/j.jfoodeng.2010.06.002
  • [11] Kırmacı, V., Usta, H., Memlik, T, “An experimental study on Freeze-Drying Behavior of Strawberries”, Drying Technology, 26: 1570-1576, (2008). DOI: https://doi.org/10.1080/07373930802467037
  • [12] Acar, B., Sadıkoğlu, H., Doymaz, İ., “Freeze-drying kinetics and diffusion modeling of Saffron (Crocus Sativus L.)”, Journal of Food Processing and Preservation, 39: 142-149, (2015). DOI: https://doi.org/10.1111/jfpp.12214
  • [13] Ngo, H. T., Tojo, S., Ban, T., Chosa, T., “Effects of prior freezing conditions on the quality of blueberries in a freeze-drying process”, American Society of Agricultural and Biological Engineers, 60: 1369-1377, (2017). DOI: http://dx.doi.org/10.13031/trans.12153
  • [14] Daşdemir, Y, “Influence of drying processes on anthocyanin profiles, total phenolic compounds and antioxidant activities of blueberry (Vaccinium corymbosum)”, LWT, 120: 108931, (2019). DOI: https://doi.org/10.1016/j.lwt.2019.108931
  • [15] Acar, B., Dağdeviren, A., Özkaymak, M., Guinaleh, A. R., “Freeze drying Process of kiwi slices with various thicknesses and investigation drying characteristic of process”, Journal of Polytechnic, 26: 415-423, (2023). DOI: https://doi.org/10.2339/politeknik.796237
  • [16] Dağdeviren, A., Acar, B., Alhammadıy, A., Roshanaei, K., Coşkun, T., İnanç, Ö., Özkaymak, M., “Freeze-drying of persimmon (diospyros kaki) slices investigation of drying characteristics”, Journal of Polytechnic, 26: 487-494, (2023). DOI: https://doi.org/10.2339/politeknik.949139
  • [17] Acar, B., Dağdeviren, A., Yıldız, B. M., Özkaymak, M., “Determination freeze-drying characteristics of ottoman strawberries”, Journal of Polytechnic, 36: 1247-1257, (2023). DOI: https://doi.org/10.35378/gujs.1036394
  • [18] Taşkın, O., İzli, G., İzli, N., “Convective Drying Kinetics and Quality Parameters of European Cranberrybush”, Journal of Agricultural Sciences, 24: 349-358, (2019). DOI: https://doi.org/ 10.15832/ankutbd.456654
  • [19] Hagig, K. A., Acar, B., Dağdeviren, A., Taşkesen, E., Özkaymak, M., “Freeze-drying kinetics and diffusion modeling of hawthorn”, Journal of Polytechnic, 9: 876-884, (2023). DOI: https://dx.doi.org/10.18186/thermal.1327094 [20] Koca, S., “Determination of arthropoda species found on the gilaboru plant (Viburnum opulus L.) in Kayseri province”, Nobel Medical Publishing House, (2009).
  • [21] Kraujalytė, V., Venskutonis, P. R., Pukalskas, A., Česonienė, L., Daubaras, R., “Antioxidant properties and polyphenolic compositions of fruits from different European cranberrybush (Viburnum opulus L.) genotypes”, Food Chemistry, 141: 3695-3702, (2013). DOI: https://doi.org/10.1016/j.foodchem.2013.06.054
  • [22] Boyacı, H., Çöteli, E., Karataş, F., “Investigation of Amounts of Vitamin A, vitamin E, Beta-carotene, Lycopene, Reduced and Oxidized Glutathione in Fruits of Viburnum opulus L.”, Erzincan University Journal of Science and Technology, 9: 111-117, (2016). DOI: https://doi.org/10.18185/eufbed.59250
  • [23] Gedikli, F., “Investigation of the usability of walnut (Juglans regia), black mulberry (Morus nigra), barberry (Berberis crataegina), madder (Rubia tinctorum) and alder (Alnus glutinosa) in staining protein plectrophoresis gels”, Nobel Medical Publishing House, (2006).
  • [24] Akçin, O. A., Kandemir, N., Akçin, Y., “A morphological and anatomical study on a medicinal and edible plant Trachystemon orientalis (L.) G.Don (Boraginaceae) in the black sea region”, Turkish Journal of Botany, 28:435-442, (2004). DOI: https://journals.tubitak.gov.tr/botany/vol28/iss4/7/
  • [25] Hilger, H., Selvi, F., Papini, A., Bigazzi, M., “Molecular systematics of boraginaceae tribe boragineae based on ITS1 and trnL sequnces, with special reference to anchusa”, Annals of Botany, 94: 201-212, (2004). DOI: https://doi.org/10.1093/aob/mch132
  • [26] Tanker, N., Kovuncu, M., Coşkun, M., “Pharmaceutical Botanical”, Ankara University Faculty of Pharmacy Publications, (2004).
  • [27] Martinelli, L., Gabas, A. L., Telis-Romero, J., “Thermodynamic and Quality Properties of Lemon Juice Powder as Affected by Maltodextrin and Arabic Gum”, Drying Technology, 25: 2035-2045, (2007). DOI: https://doi.org/10.1080/07373930701728836
  • [28] Sadıkoglu, H., Liapis, A. I., Crosser, O. K., “Optimal control of the primary and secondary drying stages of bulk solution freeze drying in trays”, Drying Technology, 16: 399-431, (1998). DOI: https://doi.org/10.1080/07373939808917417
  • [29] Menges, H. O., Ertekin, C., “Mathematical modeling of thin layer drying of Golden apples”, Journal of Food Engineering, 77: 119-125, (2006). DOI: https://doi.org/10.1016/j.jfoodeng.2005.06.049
  • [30] Gálvez, A. V., Miranda, M., Bilbao-Sáinz, C., Uribe, E., Lemusmondaca R., “Empirical modeling of drying process for apple (Cv. Granny Smith) slices at different air temperatures”, Journal of Food Processing Preservation, 32: 972-998, (2008). DOI: https://doi.org/10.1111/j.1745-4549.2008.00227.x
  • [31] Rayaguru, K., Routray, W., Mohanty, S. N., “Mathematical modelling and quality parameters of air-dried betel leaf (Piper betle L.)”, Journal of Food Processing Preservation, 35: 394-401, (2011). DOI: https://doi.org/10.1111/j.1745-4549.2010.00480.x
  • [32] Aydin, E. S., Yucel, O., Sadikoglu, H., “Modelling and simulation of a moving interface problem: freeze drying of black tea extract”, Heat Mass Transfer, 53: 2143-2154, (2017). DOI: https://link.springer.com/article/10.1007/s00231-017-1974-y
  • [33] Aydin, E. S., “Kayısı meyvesinin dondurarak kurutulmasının sayısal olarak incelenmesi için matematiksel bir model”, Journal of the Faculty of Engineering and Architecture of Gazi University, 37: 347-360, (2022). DOI: https://doi.org/10.17341/gazimmfd.791792
  • [34] Acar, B., Dağdeviren, A., Özkaymak, M., “Design of hazelnut drying system supported by solar energy, investigation of drying performance and determination of proper drying model”, International Journal of Renewable Energy Research, 10: 570-577, (2020). DOI: https://doi.org/10.20508/ijrer.v10i2.10620.g7926
  • [35] Roshanaei, K., Dağdeviren, A., Acar, B., Demir, E., Canan, A., Dumrul, H., Özkaymak, M., “Study the characteristics of kinetic model of drying freeze-dried rosehip (Rosa Canina)”, Journal of International Environmental Application and Science, 16(4): 149-158, (2021). DOI: https://doi.org/10.2339/politeknik.917063
  • [36] Okurkan, M., “Encapsulation of barberry (Berberis crataegina) anthocyanins and investigation of their usability in ice cream production”, Ankara University Faculty of Pharmacy Publications, (2018).
  • [37] Deveci, A., “Investigation of the effect of barberry (Berberis crataegina) fruit on oxidant/antioxidant capacity and Stenotrophomonas maltophilia”, Ankara University Faculty of Pharmacy Publications, (2021).
  • [38] Sevgi, E., Kızılarslan, Ç., “One name, many plants – mayasıl herb”, Eurasian Term Journal, 1: 17-29, (2013). DOI: https://doi.org/10.1016/j.lwt.2009.05.010
  • [39] Özdemir, E., “Determination of heavy metals in Trachystemon Orientalis plant”, Ankara University Faculty of Pharmacy Publications, (2019).
  • [40] Gündüz, M., Çiçek, Ş. K., “Some edible weeds grown in the Black Sea Region and their bioactive properties”, Toros University Journal of Food, Nutrition and Gastronomy, 2: 183-195, (2023). DOI: https://doi.org/10.1016/j.ijfoodmicro.2022.110021

Freeze drying of medicinal aromatic plants and determination of kinetic models with mathematical modeling

Year 2025, Early View, 1 - 1
https://doi.org/10.35378/gujs.1692128

Abstract

This study experimentally and analytically investigated the freeze-drying kinetics of five medicinally important plant species (Viburnum opulus, Berberis crataegina, Ajuga reptans, Trachystemon orientalis, and Petasites hybridus) to determine the most suitable drying models. Valuable plants used in traditional and modern medical treatment methods were chosen, and freeze drying, a hygienic drying method, was applied to extend the shelf life of these plants and increase their accessibility. Experimental drying data were analyzed using MATLAB to evaluate eight common kinetic models based on RMSE, X², and R² values. The lowest chi-square (X2) values ranged from 6.79x10-6 to 1.055x10-4, and RMSE values ranged from 0.002607 to 0.01027, with high coefficients (R2 ≥ 0.9993). The Diffusion model was identified as the best fit for V. opulus, A. reptans, and P. hybridus, while the Wang and Sing model suited B. crataegina, and the Page model best described T. orientalis. These findings provide crucial insights for optimizing freeze-drying processes for these sensitive medicinal plants.

References

  • REFERENCES
  • [1] Baytop, T., “Herbal Treatment in Turkey”, Nobel Medical Publishing House, (1999).
  • [2] Sezik, E., “History of Medicinal Plants”, Mised Magazine, TEB Publication, (2008).
  • [3] Dağdeviren, A., Acar, B., Aydın, M., “Alternative heat insulation method for rigid construction walls”, International Journal Energy Studies, 6(1): 19-35, (2021). DOI: https://doi.org/10.2339/politeknik.917063
  • [4] Hussan, A., Levacher, D., Mezazigh, A., “Investigation of natural dewatering of dredged sediments incorporating evaporation and drainage”, Drying Technology, 41(1): 2227-2240, (2023). DOI: https://doi.org/10.1080/07373937.2023.2228879
  • [5] Yıldız, T., Klein, S., Gleib, M., Nirschl, H., “Vibration compaction of compressible filter cakes for mechanical deliquoring on a horizontal vacuum belt filter”, Drying Technology, 41(1): 1484-1497, (2023). DOI: https://doi.org/10.1080/07373937.2022.2163497
  • [6] Moraga, G., Talens, P., Moraga, M. J., Martinez, N, et al., “ Implication of water activity and glass transition on the mechanical and optical properties of freeze-dried apple and banana slices” Journal of Food Engineering, 106: 212-219, (2011). DOI: https://doi.org/10.1016/j.jfoodeng.2011.05.009
  • [7] Zaichick, V., Zaichick, S., J., “A search for losses of chemical elements during freeze-drying of biological materials”, Journal of Radioanalytical and Nuclear Chemistry, 218: 249-253, (1997). DOI: https://doi.org/10.1007/bf02039345
  • [8] Wang, J., Li, Y. Z., Chen, R. R., Bao, J. Y., Yang, G., M., “Comparison of volatiles of banana powder dehydrated by vacuum belt drying, freeze-drying and air-drying”, Food Chemistry, 104: 1516-1521, (2007). DOI: https://doi.org/10.1016/j.foodchem.2007.02.029
  • [9] Khampakool, A., Soisungwan, S., Park, S. H., “Potential application of infrared assisted freeze drying (IRAFD) for banana snacks: Drying kinetics, energy consumption, and texture”, Food Science and Technology, 99: 355-363, (2019). DOI: https://doi.org/10.1016/j.lwt.2018.09.081
  • [10] Jiang, H., Zhang, M., Mujumdar, A. S., “Physico-chemical changes during different stages of MFD/FD banana chips”, Journal of Food Engineering, 101: 140-145, (2010). DOI: https://doi.org/10.1016/j.jfoodeng.2010.06.002
  • [11] Kırmacı, V., Usta, H., Memlik, T, “An experimental study on Freeze-Drying Behavior of Strawberries”, Drying Technology, 26: 1570-1576, (2008). DOI: https://doi.org/10.1080/07373930802467037
  • [12] Acar, B., Sadıkoğlu, H., Doymaz, İ., “Freeze-drying kinetics and diffusion modeling of Saffron (Crocus Sativus L.)”, Journal of Food Processing and Preservation, 39: 142-149, (2015). DOI: https://doi.org/10.1111/jfpp.12214
  • [13] Ngo, H. T., Tojo, S., Ban, T., Chosa, T., “Effects of prior freezing conditions on the quality of blueberries in a freeze-drying process”, American Society of Agricultural and Biological Engineers, 60: 1369-1377, (2017). DOI: http://dx.doi.org/10.13031/trans.12153
  • [14] Daşdemir, Y, “Influence of drying processes on anthocyanin profiles, total phenolic compounds and antioxidant activities of blueberry (Vaccinium corymbosum)”, LWT, 120: 108931, (2019). DOI: https://doi.org/10.1016/j.lwt.2019.108931
  • [15] Acar, B., Dağdeviren, A., Özkaymak, M., Guinaleh, A. R., “Freeze drying Process of kiwi slices with various thicknesses and investigation drying characteristic of process”, Journal of Polytechnic, 26: 415-423, (2023). DOI: https://doi.org/10.2339/politeknik.796237
  • [16] Dağdeviren, A., Acar, B., Alhammadıy, A., Roshanaei, K., Coşkun, T., İnanç, Ö., Özkaymak, M., “Freeze-drying of persimmon (diospyros kaki) slices investigation of drying characteristics”, Journal of Polytechnic, 26: 487-494, (2023). DOI: https://doi.org/10.2339/politeknik.949139
  • [17] Acar, B., Dağdeviren, A., Yıldız, B. M., Özkaymak, M., “Determination freeze-drying characteristics of ottoman strawberries”, Journal of Polytechnic, 36: 1247-1257, (2023). DOI: https://doi.org/10.35378/gujs.1036394
  • [18] Taşkın, O., İzli, G., İzli, N., “Convective Drying Kinetics and Quality Parameters of European Cranberrybush”, Journal of Agricultural Sciences, 24: 349-358, (2019). DOI: https://doi.org/ 10.15832/ankutbd.456654
  • [19] Hagig, K. A., Acar, B., Dağdeviren, A., Taşkesen, E., Özkaymak, M., “Freeze-drying kinetics and diffusion modeling of hawthorn”, Journal of Polytechnic, 9: 876-884, (2023). DOI: https://dx.doi.org/10.18186/thermal.1327094 [20] Koca, S., “Determination of arthropoda species found on the gilaboru plant (Viburnum opulus L.) in Kayseri province”, Nobel Medical Publishing House, (2009).
  • [21] Kraujalytė, V., Venskutonis, P. R., Pukalskas, A., Česonienė, L., Daubaras, R., “Antioxidant properties and polyphenolic compositions of fruits from different European cranberrybush (Viburnum opulus L.) genotypes”, Food Chemistry, 141: 3695-3702, (2013). DOI: https://doi.org/10.1016/j.foodchem.2013.06.054
  • [22] Boyacı, H., Çöteli, E., Karataş, F., “Investigation of Amounts of Vitamin A, vitamin E, Beta-carotene, Lycopene, Reduced and Oxidized Glutathione in Fruits of Viburnum opulus L.”, Erzincan University Journal of Science and Technology, 9: 111-117, (2016). DOI: https://doi.org/10.18185/eufbed.59250
  • [23] Gedikli, F., “Investigation of the usability of walnut (Juglans regia), black mulberry (Morus nigra), barberry (Berberis crataegina), madder (Rubia tinctorum) and alder (Alnus glutinosa) in staining protein plectrophoresis gels”, Nobel Medical Publishing House, (2006).
  • [24] Akçin, O. A., Kandemir, N., Akçin, Y., “A morphological and anatomical study on a medicinal and edible plant Trachystemon orientalis (L.) G.Don (Boraginaceae) in the black sea region”, Turkish Journal of Botany, 28:435-442, (2004). DOI: https://journals.tubitak.gov.tr/botany/vol28/iss4/7/
  • [25] Hilger, H., Selvi, F., Papini, A., Bigazzi, M., “Molecular systematics of boraginaceae tribe boragineae based on ITS1 and trnL sequnces, with special reference to anchusa”, Annals of Botany, 94: 201-212, (2004). DOI: https://doi.org/10.1093/aob/mch132
  • [26] Tanker, N., Kovuncu, M., Coşkun, M., “Pharmaceutical Botanical”, Ankara University Faculty of Pharmacy Publications, (2004).
  • [27] Martinelli, L., Gabas, A. L., Telis-Romero, J., “Thermodynamic and Quality Properties of Lemon Juice Powder as Affected by Maltodextrin and Arabic Gum”, Drying Technology, 25: 2035-2045, (2007). DOI: https://doi.org/10.1080/07373930701728836
  • [28] Sadıkoglu, H., Liapis, A. I., Crosser, O. K., “Optimal control of the primary and secondary drying stages of bulk solution freeze drying in trays”, Drying Technology, 16: 399-431, (1998). DOI: https://doi.org/10.1080/07373939808917417
  • [29] Menges, H. O., Ertekin, C., “Mathematical modeling of thin layer drying of Golden apples”, Journal of Food Engineering, 77: 119-125, (2006). DOI: https://doi.org/10.1016/j.jfoodeng.2005.06.049
  • [30] Gálvez, A. V., Miranda, M., Bilbao-Sáinz, C., Uribe, E., Lemusmondaca R., “Empirical modeling of drying process for apple (Cv. Granny Smith) slices at different air temperatures”, Journal of Food Processing Preservation, 32: 972-998, (2008). DOI: https://doi.org/10.1111/j.1745-4549.2008.00227.x
  • [31] Rayaguru, K., Routray, W., Mohanty, S. N., “Mathematical modelling and quality parameters of air-dried betel leaf (Piper betle L.)”, Journal of Food Processing Preservation, 35: 394-401, (2011). DOI: https://doi.org/10.1111/j.1745-4549.2010.00480.x
  • [32] Aydin, E. S., Yucel, O., Sadikoglu, H., “Modelling and simulation of a moving interface problem: freeze drying of black tea extract”, Heat Mass Transfer, 53: 2143-2154, (2017). DOI: https://link.springer.com/article/10.1007/s00231-017-1974-y
  • [33] Aydin, E. S., “Kayısı meyvesinin dondurarak kurutulmasının sayısal olarak incelenmesi için matematiksel bir model”, Journal of the Faculty of Engineering and Architecture of Gazi University, 37: 347-360, (2022). DOI: https://doi.org/10.17341/gazimmfd.791792
  • [34] Acar, B., Dağdeviren, A., Özkaymak, M., “Design of hazelnut drying system supported by solar energy, investigation of drying performance and determination of proper drying model”, International Journal of Renewable Energy Research, 10: 570-577, (2020). DOI: https://doi.org/10.20508/ijrer.v10i2.10620.g7926
  • [35] Roshanaei, K., Dağdeviren, A., Acar, B., Demir, E., Canan, A., Dumrul, H., Özkaymak, M., “Study the characteristics of kinetic model of drying freeze-dried rosehip (Rosa Canina)”, Journal of International Environmental Application and Science, 16(4): 149-158, (2021). DOI: https://doi.org/10.2339/politeknik.917063
  • [36] Okurkan, M., “Encapsulation of barberry (Berberis crataegina) anthocyanins and investigation of their usability in ice cream production”, Ankara University Faculty of Pharmacy Publications, (2018).
  • [37] Deveci, A., “Investigation of the effect of barberry (Berberis crataegina) fruit on oxidant/antioxidant capacity and Stenotrophomonas maltophilia”, Ankara University Faculty of Pharmacy Publications, (2021).
  • [38] Sevgi, E., Kızılarslan, Ç., “One name, many plants – mayasıl herb”, Eurasian Term Journal, 1: 17-29, (2013). DOI: https://doi.org/10.1016/j.lwt.2009.05.010
  • [39] Özdemir, E., “Determination of heavy metals in Trachystemon Orientalis plant”, Ankara University Faculty of Pharmacy Publications, (2019).
  • [40] Gündüz, M., Çiçek, Ş. K., “Some edible weeds grown in the Black Sea Region and their bioactive properties”, Toros University Journal of Food, Nutrition and Gastronomy, 2: 183-195, (2023). DOI: https://doi.org/10.1016/j.ijfoodmicro.2022.110021
There are 40 citations in total.

Details

Primary Language English
Subjects Energy Systems Engineering (Other)
Journal Section Research Article
Authors

Hilal Geçten 0009-0000-5483-4922

Abdullah Dağdeviren 0000-0002-5418-4445

Bahadir Acar 0000-0002-9494-6301

Göknur Kayataş Ongun 0000-0003-1811-1975

Mehmet Özkaymak 0000-0002-4575-8988

Early Pub Date October 5, 2025
Publication Date October 27, 2025
Submission Date May 5, 2025
Acceptance Date July 31, 2025
Published in Issue Year 2025 Early View

Cite

APA Geçten, H., Dağdeviren, A., Acar, B., … Kayataş Ongun, G. (2025). Freeze drying of medicinal aromatic plants and determination of kinetic models with mathematical modeling. Gazi University Journal of Science1-1. https://doi.org/10.35378/gujs.1692128
AMA Geçten H, Dağdeviren A, Acar B, Kayataş Ongun G, Özkaymak M. Freeze drying of medicinal aromatic plants and determination of kinetic models with mathematical modeling. Gazi University Journal of Science. Published online October 1, 2025:1-1. doi:10.35378/gujs.1692128
Chicago Geçten, Hilal, Abdullah Dağdeviren, Bahadir Acar, Göknur Kayataş Ongun, and Mehmet Özkaymak. “Freeze Drying of Medicinal Aromatic Plants and Determination of Kinetic Models With Mathematical Modeling”. Gazi University Journal of Science, October (October 2025), 1-1. https://doi.org/10.35378/gujs.1692128.
EndNote Geçten H, Dağdeviren A, Acar B, Kayataş Ongun G, Özkaymak M (October 1, 2025) Freeze drying of medicinal aromatic plants and determination of kinetic models with mathematical modeling. Gazi University Journal of Science 1–1.
IEEE H. Geçten, A. Dağdeviren, B. Acar, G. Kayataş Ongun, and M. Özkaymak, “Freeze drying of medicinal aromatic plants and determination of kinetic models with mathematical modeling”, Gazi University Journal of Science, pp. 1–1, October2025, doi: 10.35378/gujs.1692128.
ISNAD Geçten, Hilal et al. “Freeze Drying of Medicinal Aromatic Plants and Determination of Kinetic Models With Mathematical Modeling”. Gazi University Journal of Science. October2025. 1-1. https://doi.org/10.35378/gujs.1692128.
JAMA Geçten H, Dağdeviren A, Acar B, Kayataş Ongun G, Özkaymak M. Freeze drying of medicinal aromatic plants and determination of kinetic models with mathematical modeling. Gazi University Journal of Science. 2025;:1–1.
MLA Geçten, Hilal et al. “Freeze Drying of Medicinal Aromatic Plants and Determination of Kinetic Models With Mathematical Modeling”. Gazi University Journal of Science, 2025, pp. 1-1, doi:10.35378/gujs.1692128.
Vancouver Geçten H, Dağdeviren A, Acar B, Kayataş Ongun G, Özkaymak M. Freeze drying of medicinal aromatic plants and determination of kinetic models with mathematical modeling. Gazi University Journal of Science. 2025:1-.