NOVEL MATHEMATICAL MODEL WITH INTEGRATIVE OPTIMIZATION FOR MICROWAVE DRYING OF OLIVE LEAVES (OLEA EUROPAEA) TO ENHANCE BIOACTIVE COMPOUNDS PRESERVATION, ANTIOXIDANT ACTIVITY, AND ENERGY EFFICIENCY
DOI:
https://doi.org/10.24193/subbchem.2026.1.06Keywords:
Microwave drying, olive leaves, bioactive compounds, antioxidant activity, mathematical modeling, energy efficiencyAbstract
This study optimized the microwave drying of olive leaves by integrating mathematical modeling and proposing a novel drying model, along with a comprehensive analysis of energy efficiency and bioactive compound preservation. Experiments were conducted at microwave power levels ranging from 100 to 1000 W, assessing drying kinetics, energy efficiency, and retention of bioactive compounds. The optimal power of 700 W achieved a drying time of 21 minutes while preserving key bioactive compounds, with TPC, TFC, and antioxidant activity reaching 108.79 mg GAE/g DM, 12.12 mg RE/g DM, and 23.25 mg GAE/g DM, respectively. Several mathematical models from the literature were evaluated, and the Logarithmic, Modified Henderson–Pabis II, and Hii et al. models showed excellent agreement with the experimental data (R² > 0.99). The proposed new model also demonstrated strong predictive accuracy, with high R² values and low root mean square error and reduced chi-square (χ²). The lowest specific energy consumption was 0.236 × 10⁵ MJ/kg H₂O, accompanied by the highest energy efficiency. These results demonstrate that intermediate microwave power provides an optimal balance between energy efficiency, processing time, and bioactive compound preservation, highlighting both practical and economic advantages for olive leaf drying.
References
1. A. Silvestrini, C. Giordani, S. Bonacci, A. Giuliani, D. Ramini, G. Matacchione, J. Sabbatinelli, S. Di Valerio, D. Pacetti, A.D. Procopio, A. Procopio, M.R. Rippo, Anti-Inflammatory Effects of Olive Leaf Extract and Its Bioactive Compounds Oleacin and Oleuropein-Aglycone on Senescent Endothelial and Small Airway Epithelial Cells, Antioxidants. 12 (2023). https://doi.org/10.3390/antiox12081509.
2. S. Feng, C. Zhang, L. Liu, Z. Xu, T. Chen, L. Zhou, M. Yuan, T. Li, C. Ding, Comparison of phenolic compounds in olive leaves by different drying and storage methods, Separations. 8 (2021) 1–10. https://doi.org/10.3390/separations8090156.
3. N.N. Mbegbu, C.O. Nwajinka, D.O. Amaefule, Thin layer drying models and characteristics of scent leaves (Ocimum gratissimum) and lemon basil leaves (Ocimum africanum), Heliyon. 7 (2021) e05945. https://doi.org/10.1016/j.heliyon.2021.e05945.
4. A.E. Stępień, J. Gorzelany, N. Matłok, K. Lech, A. Figiel, The effect of drying methods on the energy consumption, bioactive potential and colour of dried leaves of Pink Rock Rose (Cistus creticus), J. Food Sci. Technol. 56 (2019) 2386–2394. https://doi.org/10.1007/s13197-019-03656-2.
5. M. Popescu, P. Iancu, V. Plesu, C.S. Bildea, F.A. Manolache, Mathematical Modeling of Thin-Layer Drying Kinetics of Tomato Peels: Influence of Drying Temperature on the Energy Requirements and Extracts Quality, Foods. 12 (2023). https://doi.org/10.3390/foods12203883.
6. I.D. Boateng, D.A. Soetanto, X.M. Yang, C. Zhou, F.K. Saalia, F. Li, Effect of pulsed-vacuum, hot-air, infrared, and freeze-drying on drying kinetics, energy efficiency, and physicochemical properties of Ginkgo biloba L. seed, J. Food Process Eng. 44 (2021) 1–14. https://doi.org/10.1111/jfpe.13655.
7. A. Boukhiar, S. Benamara, Y. Bouchal, K. Touderte, S. Messouidi, High-temperature Thin-layer Drying Kinetic of Cultivated and Wild Algerian Olive Leaves Modeling and Effect on Oleuropein and Chlorophyll Contents, Period. Polytech. Chem. Eng. 66 (2022) 660–674. https://doi.org/10.3311/PPch.20264.
8. J. Sánchez-García, S. Muñoz-Pina, J. García-Hernández, A. Heredia, A. Andrés, Impact of Air-Drying Temperature on Antioxidant Properties and ACE-Inhibiting Activity of Fungal Fermented Lentil Flour, Foods. 12 (2023). https://doi.org/10.3390/foods12050999.
9. E.M. Ramírez, M. Brenes, C. Romero, E. Medina, Olive Leaf Processing for Infusion Purposes, Foods. 12 (2023) 12–14. https://doi.org/10.3390/foods12030591.
10. A. Cagliari, T.R. Martiny, R. Nascimento, M.M. Morais, G.S. da Rosa, Effects of different drying conditions on bioactive potential of Brazilian olive leaf, Brazilian J. Food Technol. 25 (2022) 1–16. https://doi.org/10.1590/1981-6723.14721.
11. N.A. AlFaris, J.Z. AlTamimi, L.A. AlMousa, F.A. AlGhamidi, N.A. Albaridi, Date-derived industries: A review of common products, manufacturing methods, and leading countries, Emirates J. Food Agric. 34 (2022) 86–97. https://doi.org/10.9755/ejfa.2022.v34.i2.2825.
12. R. ElGamal, C. Song, A.M. Rayan, C. Liu, S. Al-Rejaie, G. ElMasry, Thermal Degradation of Bioactive Compounds during Drying Process of Horticultural and Agronomic Products: A Comprehensive Overview, Agronomy. 13 (2023). https://doi.org/10.3390/agronomy13061580.
13. B.S. Kalsi, S. Singh, M.S. Alam, S. Bhatia, Microwave Drying Modelling of Stevia rebaudiana Leaves Using Artificial Neural Network and Its Effect on Color and Biochemical Attributes, J. Food Qual. 2023 (2023). https://doi.org/10.1155/2023/2811491.
14. S. Swain, Mathematical Modelling of Microwave Assisted Dehydration of Osmotically Pretreated Yellow Sweet Pepper (Capsicum annum L), J. Nutr. Heal. Food Eng. 1 (2014) 1–11. https://doi.org/10.15406/jnhfe.2014.01.00013.
15. T.P. Krishna Murthy, B. Manohar, Microwave drying of mango ginger (Curcuma amada Roxb): Prediction of drying kinetics by mathematical modelling and artificial neural network, Int. J. Food Sci. Technol. 47 (2012) 1229–1236. https://doi.org/10.1111/j.1365-2621.2012.02963.x.
16. K. Ponkham, N. Meeso, S. Soponronnarit, S. Siriamornpun, Modeling of combined far-infrared radiation and air drying of a ring shaped-pineapple with/without shrinkage, Food Bioprod. Process. 90 (2012) 155–164. https://doi.org/10.1016/j.fbp.2011.02.008.
17. Z. Erbay, F. Icier, Thin-layer drying behaviors of olive leaves (Olea europaea L.), J. Food Process Eng. 33 (2010) 287–308. https://doi.org/10.1111/j.1745-4530.2008.00275.x.
18. L. do Nascimento Silveira Dorneles, A. Luís Duarte Goneli, C. Andrea Lima Cardoso, C. Bezerra da Silva, M. Rosemari Hauth, G. Cardoso Oba, V. Schoeninger, Effect of air temperature and velocity on drying kinetics and essential oil composition of Piper umbellatum L. leaves, Ind. Crops Prod. 142 (2019) 111846. https://doi.org/10.1016/j.indcrop.2019.111846.
19. A.L.D. Goneli, M. Do Carmo Vieira, H. da C. Benitez Vilhasanti, A. Alves Gonçalves, Mathematical modeling and effective diffusion of schinus terebinthifolius leaves during drying, Pesqui. Agropecu. Trop. 44 (2014) 56–64. https://doi.org/10.1590/s1983-40632014000100005.
20. O.O. Olabinjo, A.I. Asamu, I.O. Filani, Mathematical modelling of drying kinetics of coriander leaves (Coriandrum sativum L.) using a convective dryer, Ann. Food Sci. Technol. 21 (2020) 31–39.
21. C.L. Hii, C.L. Law, S. Suzannah, Drying kinetics of the individual layer of cocoa beans during heat pump drying, J. Food Eng. 108 (2012) 276–282. https://doi.org/10.1016/j.jfoodeng.2011.08.017.
22. S. Ambawat, A. Sharma, R.K. Saini, Mathematical Modeling of Thin Layer Drying Kinetics and Moisture Diffusivity Study of Pretreated Moringa oleifera Leaves Using Fluidized Bed Dryer, Processes. 10 (2022). https://doi.org/10.3390/pr10112464.
23. M.I.H. Khan, C.P. Batuwatta-Gamage, M.A. Karim, Y.T. Gu, Fundamental Understanding of Heat and Mass Transfer Processes for Physics-Informed Machine Learning-Based Drying Modelling, Energies. 15 (2022).
24. J.-W. Dai, W. Qin, Z.-J. Wu, Y.-L. Bian, L.-H. Zhang, Drying Kinetics of Papaya Slices in Microwave Intermittent Dryer, Proc. 2017 7th Int. Conf. Adv. Des. Manuf. Eng. (ICADME 2017). 136 (2017) 177–182. https://doi.org/10.2991/icadme-17.2017.35.
25. [D. Kaur, A.A. Wani, D.S. Sogi, U.S. Shivhare, Sorption isotherms and drying characteristics of tomato peel isolated from tomato pomace, Dry. Technol. 24 (2006) 1515–1520. https://doi.org/10.1080/07373930600961371.
26. S. Bennaceur, A. Berreghioua, L. Bennamoun, A. Mulet, B. Draoui, M. Abid, J.A. Carcel, Effect of ultrasound on henna leaves drying and extraction of lawsone: Experimental and modeling study, Energies. 14 (2021). https://doi.org/10.3390/en14051329.
27. E.A.A. Elhussein, S. Şahin, Drying behaviour, effective diffusivity and energy of activation of olive leaves dried by microwave, vacuum and oven drying methods, Heat Mass Transf. Und Stoffuebertragung. 54 (2018) 1901–1911. https://doi.org/10.1007/s00231-018-2278-6.
28. S. Karimi, N. Layeghinia, H. Abbasi, Microwave pretreatment followed by associated microwave-hot air drying of Gundelia tournefortii L.: drying kinetics, energy consumption and quality characteristics, Heat Mass Transf. Und Stoffuebertragung. 57 (2021) 133–146. https://doi.org/10.1007/s00231-020-02948-0.
29. E. Demirhan, B. Özbek, Microwave-drying characteristics of basil, J. Food Process. Preserv. 34 (2010) 476–494. https://doi.org/10.1111/j.1745-4549.2008.00352.x.
30. A. Madan, A. Pare, N.G.N. A, Mathematical Modelling of Thin-layer Drying Process of Bamboo (Bambusa bambos) Shoots at Varying Temperature, Res. Rev. J. Bot. 3 (2014) 1–9. www.stmjournals.com.
31. A. Arslan, Y. Soysal, M. Keskin, Mathematical Modeling, Moisture Diffusion and Color Quality in Intermittent Microwave Drying of Organic and Conventional Sweet Red Peppers, AgriEngineering. 2 (2020) 393–407. https://doi.org/10.3390/agriengineering2030027.
32. G. Huelsz, L. Urbiola-Soto, F. López-Alquicira, R. Rechtman, G. Hernández-Cruz, Total Energy Balance Method for Venting Electric Clothes Dryers, Dry. Technol. 31 (2013) 576–586. https://doi.org/10.1080/07373937.2012.746977.
33. N.R. Nwakuba, V.C. Okafor, Energy Indices and Drying Behaviour of Alligator Pepper Pods (Aframomum Melegueta) as Influenced by Applied Microwave Power, J. Energy Technol. Environ. 2 (2020) 74–93. https://doi.org/10.37933/nipes.e/2.2020.8.
34. S. Guemouni, K. Mouhoubi, F. Brahmi, F. Dahmoune, A. Belbahi, C. Benyoub, N. Adjeroud-Abdellatif, K. Atmani, H. Bakhouche, L. Boulekbache-Makhlouf, K. Madani, Convective and microwave drying kinetics and modeling of tomato slices, energy consumption, and efficiency, J. Food Process Eng. 45 (2022). https://doi.org/10.1111/jfpe.14113.
35. B. Nayak, F. Dahmoune, K. Moussi, H. Remini, S. Dairi, O. Aoun, M. Khodir, Comparison of microwave, ultrasound and accelerated-assisted solvent extraction for recovery of polyphenols from Citrus sinensis peels, Food Chem. 187 (2015) 507–516. https://doi.org/10.1016/j.foodchem.2015.04.081.
36. N. Vural, Z. Yilmazer Hitit, S. Ertunç, Multi-objective optimization of drying conditions for the Olea europaea L. leaves with NSGA-II, 2021. https://doi.org/10.1111/jfpp.15625.
37. O. Content, M.K. Marevci, The Effect of Drying Methods and Extraction Techniques on (2022).
38. B. Ameri, S. Hanini, M. Boumahdi, Influence of drying methods on the thermodynamic parameters, effective moisture diffusion and drying rate of wastewater sewage sludge, Renew. Energy. 147 (2020) 1107–1119. https://doi.org/10.1016/j.renene.2019.09.072.
39. J.W. Westwater, H.G. Drickamer, The Mathematics of Diffusion, J. Am. Chem. Soc. 79 (1957) 1267–1268. https://doi.org/10.1021/ja01562a072.
40. H. Darvishi, J. Khodaei, M. Azadbakht, The parameters of mass transfer of convective drying in sliced melon, Philipp. Agric. Sci. 98 (2015) 60–72.
41. S. Zaidi, N. Chaher-Bazizi, T. Kaddour, Z. Medjahed, N. Benaida-Debbache, Optimization of ultrasound-assisted extraction of phenolic compounds from Pistacia lentiscus with the study of their antioxidant and anti-inflammatory potential, Sustain. Chem. Pharm. 41 (2024) 101678. https://doi.org/10.1016/j.scp.2024.101678.
42. N. Saidene, N. Chaher, B. Radia, K. Dina, A. Kilani, D. Atmani, Optimization of green ultrasound ‑ assisted extraction of phenolic compounds from Crataegus laciniata leaves and assessing for antioxidant activity , enzyme inhibition , and UPLC ‑ ESI ‑ MS ‑ MS guided identification of metabolites, Chem. Pap. (2024). https://doi.org/10.1007/s11696-024-03745-3.
43. L. Shi, W. Zhao, Z. Yang, V. Subbiah, H.A.R. Suleria, Extraction and characterization of phenolic compounds and their potential antioxidant activities, Environ. Sci. Pollut. Res. 29 (2022) 81112–81129. https://doi.org/10.1007/s11356-022-23337-6.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Studia Universitatis Babeș-Bolyai Chemia

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
