Modeling and Optimization of Agroindustrial Processes Using Differential Calculus: A Bibliometric Analysis of Trends
DOI:
https://doi.org/10.70577/asce.v5i3.979Keywords:
Agriculture; mathematical models; optimization; bibliometrics; agricultural engineering.Abstract
Modern agribusiness requires analytical tools to optimize production processes, improve resource use, and reduce the environmental impacts associated with the transformation of agricultural raw materials. In this regard, mathematical modeling and differential calculus are crucial quantitative foundations for analyzing objective functions, rates of change, and optimal conditions in agroindustrial systems. This study aimed to analyze scientific trends in the modeling and optimization of agroindustrial processes using differential calculus, employing a bibliometric approach applied to literature indexed in Scopus and Web of Science. A final corpus of 474 articles was compiled, refined according to documentary selection criteria, and processed using bibliometric tools focused on analyzing general indicators and constructing a thematic map. The results revealed a growing body of scientific output, with contributions from 1,722 authors and the identification of 1,799 conceptual terms defined by these same authors. The thematic map revealed the field's core themes, the most developed lines of research, emerging topics, and those that have lost scientific visibility. These results provide a structured view of the area's evolution and constitute a basis for guiding future research aimed at designing more efficient and sustainable agroindustrial models adapted to current production challenges.
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Ayad, R., Ayad, R., Bourekoua, H., Lefahal, M., Makhloufi, E. H., Akkal, S., Medjroubi, K., & Nieto Martínez, G. (2022). Process optimization of phytoantioxidant and photoprotective compounds from carob pods (Ceratonia siliqua L.) using ultrasonic assisted extraction method. Molecules. https://doi.org/10.3390/molecules27248802 DOI: https://doi.org/10.3390/molecules27248802
Baseri, S. (2023). Agricultural crop of Scrophularia striata as a new dye for eco-friendly dyeing and bioactive finishing of handwoven piles. Sustainable Chemistry and Pharmacy. https://doi.org/10.1016/j.scp.2023.101088 DOI: https://doi.org/10.1016/j.scp.2023.101088
Brimo-Alevra, E., Koutli, M., Marielou, E., Chatzimitakos, T., & Makris, D. P. (2025). Hydrothermal and organosolv treatments for hydroxycinnamate release from corn stover: Strong versus mild alkaline catalysis. Molecules. https://doi.org/10.3390/molecules30214297 DOI: https://doi.org/10.3390/molecules30214297
Cattaneo, T. M. P., & Marinoni, L. (2024). Monitoring vegetable dehydration process by aquaphotomics from lab scale to farm. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy. https://doi.org/10.1016/j.saa.2024.124299 DOI: https://doi.org/10.1016/j.saa.2024.124299
Chandarana, H., Suganya, S., Senthil Kumar, P. S., & Anil Kumar, M. A. (2021). Evaluation of phase transfer kinetics and thermodynamic equilibria of Reactive Orange 16 sorption onto chemically improved Arachis hypogaea pod powder. Chemosphere. https://doi.org/10.1016/j.chemosphere.2021.130136 DOI: https://doi.org/10.1016/j.chemosphere.2021.130136
de Lima Santos, A. A., Teixeira, M. E., Silveira, P. G., & Corrêa, J. L. G. (2025). Convective drying of papaya seeds: Impact of ethanol pretreatment. Journal of Food Science. https://doi.org/10.1111/1750-3841.70721 DOI: https://doi.org/10.1111/1750-3841.70721
Dossa, S., Rinovetz, A., Neagu, C., Stoin, D., Lalescu, D., Jianu, C., Radulov, I., Serpe, L., Brinzeu, A., & Alexa, E. (2026). Impact of sunflower (Helianthus annuus) seed meal use on the nutritional, phytochemical, rheological, physicochemical, and sensory quality of wheat bread. Applied Sciences (Switzerland). https://doi.org/10.3390/app16010461 DOI: https://doi.org/10.3390/app16010461
Durgawati, Balasubramanian, P., & Sutar, P. P. (2025). Effect of fermentation on non-water infrared refractance window drying of Malabar spinach. Food Chemistry. https://doi.org/10.1016/j.foodchem.2025.146586 DOI: https://doi.org/10.1016/j.foodchem.2025.146586
Eddaoukhi, A., Berradi, M., Elrhayam, Y., Rissouli, L., Grou, M., El Yacoubi, A., Bouraada, K., Hassani Zerrouk, M. H., El-Bachiri, A., & Nassali, H. (2024). Characterizing and optimizing adsorption for olive mill wastewater processing in Loukkos, Morocco. Environmental Monitoring and Assessment. https://doi.org/10.1007/s10661-023-12179-5 DOI: https://doi.org/10.1007/s10661-023-12179-5
Evelyn, Yusnimar, Fermi, M., Saputra, E., Utami, S. P., Komalasari, Rahmi, S. W., & Ohi, H. (2024). Cellulose and lignin purified from Metroxylon sagu palm fronds by a new technology with 2-methylanthraquinone cooking and peroxymonosulfuric acid bleaching. Journal of Wood Science. https://doi.org/10.1186/s10086-024-02130-8 DOI: https://doi.org/10.1186/s10086-024-02130-8
Faggiano, A., Cicatelli, A., Guarino, F., Castiglione, S., Proto, A., Fiorentino, A., & Motta, O. (2025). Optimizing CO₂ capture: Effects of chemical functionalization on woodchip biochar adsorption performance. Journal of Environmental Management. https://doi.org/10.1016/j.jenvman.2025.125059 DOI: https://doi.org/10.1016/j.jenvman.2025.125059
Gao, H., Chen, N., An, N., Zhan, Y., Feng, C., & Hu, W. (2025). Enhanced heterotrophic denitrification in groundwater using pretreated Ginkgo biloba leaves: Optimized carbon utilization and metabolic function diversity. Environmental Research. https://doi.org/10.1016/j.envres.2025.121044 DOI: https://doi.org/10.1016/j.envres.2025.121044
Homan, T., Bryant, L., Howden, N. J. K., Barden, R., Kasprzyk-Hordern, B., & Hofman, J. (2025). Optimising multi-site sensor networks in lowland permeable catchments for comprehensive water quality monitoring and nitrogen mass balancing during baseflow conditions. Water Research. https://doi.org/10.1016/j.watres.2025.123874 DOI: https://doi.org/10.1016/j.watres.2025.123874
Hülsemann, B., Lenz, L., Hagemann, M. H., & Born, U. (2025). Ensiling of hop chaff for biogas and fibre production using molasses, nitrate, and lactic acid bacteria as ensiling agents. Bioresource Technology. https://doi.org/10.1016/j.biortech.2025.132867 DOI: https://doi.org/10.1016/j.biortech.2025.132867
Katyal, M., Singh, R., Mahajan, R., Sharma, A., Gupta, R., Aggarwal, N. K., & Yadav, A. (2025). Valorization of papaya fruit peel waste for the production of nanocellulose by Novacetimonas hansenii BMK-3. Biotechnology and Applied Biochemistry. https://doi.org/10.1002/bab.2706 DOI: https://doi.org/10.1002/bab.2706
Khalid, W., Benmebarek, I. E., Zargarchi, S., Kumar, P., Javed, M., Moreno, A., Sharma, A., Nayik, G. A., & Esatbeyoglu, T. (2025). Optimization of the effect of cold plasma treatment on UAE-NADES green extraction of chickpea roots (Cicer arietinum) bioactive compounds. Ultrasonics Sonochemistry. https://doi.org/10.1016/j.ultsonch.2025.107276 DOI: https://doi.org/10.1016/j.ultsonch.2025.107276
Khan, Z. U., & Rahman, M. ur. (2026). Dynamical analysis of a fractional maize streak disease model with enhanced predictive capabilities. Computational Biology and Chemistry. https://doi.org/10.1016/j.compbiolchem.2025.108758 DOI: https://doi.org/10.1016/j.compbiolchem.2025.108758
La Rubia, M. D., Jurado-Contreras, S., Navas-Martos, F. J., García-Ruiz, Á., Morillas-Gutiérrez, F., Moya, A. J., Mateo, S., & Rodríguez-Liébana, J. A. (2024). Characterization of cellulosic pulps isolated from two widespread agricultural wastes: Cotton and sunflower stalks. Polymers. https://doi.org/10.3390/polym16111594 DOI: https://doi.org/10.3390/polym16111594
Liu, Y., Wang, S., Yu, X., Wang, L., Meng, Q., Wu, J., Tan, G., Zhang, S., & Chen, M. (2025). Optimization of ultrasonic-assisted extraction for enhancing the cosmetic potential and structural characterization of polysaccharide-rich extract from waste stem of Trollius chinensis Bunge. Ultrasonics Sonochemistry. https://doi.org/10.1016/j.ultsonch.2025.107441 DOI: https://doi.org/10.1016/j.ultsonch.2025.107441
Lou, M., Zhu, Y., Li, J., Wu, H., Zhao, C., Shen, Z., Wang, Q., Song, B., & Song, R. (2025). A natural coniferylaldehyde-derived inhibitor of phytoviral intercellular traffic via targeting capsid protein residue THR155. Journal of Agricultural and Food Chemistry, 73(24), 14950–14960. https://doi.org/10.1021/acs.jafc.5c03116 DOI: https://doi.org/10.1021/acs.jafc.5c03116
Mohery, M., Mindil, A., Mahran, G., & Alsubaie, A. (2025). Eco-friendly copper adsorption by a novel bis-aminophosphonate: Design, synthesis, equilibrium, and bioactive applications. Water, Air, and Soil Pollution. https://doi.org/10.1007/s11270-025-08125-5 DOI: https://doi.org/10.1007/s11270-025-08125-5
Morales Urrea, D., Contreras, E. M., & López-Córdoba, A. (2024). Assessment of potato surpluses as eco-friendly adsorbent for removal of Orange II: Optimization and kinetic modelling at different pH values. Scientific Reports. https://doi.org/10.1038/s41598-024-70690-2 DOI: https://doi.org/10.1038/s41598-024-70690-2
Naidu, T., Sanusi, I. A., Nouadjep, N. S., Sewsynker-Sukai, Y., Mambili-Mamboundou, H., Beukes, L. S., & Gueguim Kana, E. B. (2025). Enhanced lactic acid production from potato peel waste via MnO₂ nanoparticle-assisted simultaneous saccharification and fermentation: Process optimization and kinetic studies. Bioresource Technology. https://doi.org/10.1016/j.biortech.2025.132884 DOI: https://doi.org/10.1016/j.biortech.2025.132884
Pariani, L. C., Castiglione, F., Griffini, G., Rossato, L. A. M., Ruffini, E., Strini, A., Tessaro, D., Turri, S., Serra, S., & D’Arrigo, P. (2025). Synergistic DES-microwave fractionation of agri-food biomasses in a zero-waste perspective. Molecules, 30(17), 3588. https://doi.org/10.3390/molecules30173588 DOI: https://doi.org/10.3390/molecules30173588
Pinheiro, L. G. S. D., de Matos, A. C., de Matuoka E Chiocchetti, G. D. M. E., Efraim, P., Macedo, G. A., & Alves Macedo, J. A. (2026). Peanut skin bioactive extract on pectin and gelatin candies: Is it a potential dietary antioxidant delivery system for health improvement? Journal of the Science of Food and Agriculture. https://doi.org/10.1002/jsfa.70230 DOI: https://doi.org/10.1002/jsfa.70230
Pinichka, C., Chotpantarat, S., Cho, K. H., & Siriwong, W. (2025). Comparative analysis of SWAT and SWAT coupled with XGBoost model using Optuna hyperparameter optimization for nutrient simulation: A case study in the Upper Nan River Basin, Thailand. Journal of Environmental Management. https://doi.org/10.1016/j.jenvman.2025.126053 DOI: https://doi.org/10.1016/j.jenvman.2025.126053
Prakash, B. R., Arulmari, R., Sudagar, I. P., Gurusamy, K., Surya Priyadharshini, R., Kavitha Shree, G. G., Rajkumar, P., Preetha, P., & Pandiselvam, R. (2025). Optimization of ultrasonic-assisted extraction of glucomoringin from Moringa oleifera seeds: Process parameters, phytochemical characterization, and antioxidant activity. Journal of Food Measurement and Characterization, 19, 9163–9177. https://doi.org/10.1007/s11694-025-03578-y DOI: https://doi.org/10.1007/s11694-025-03578-y
Rajeshwari, S., Chowdary, S. K., Dileep, A., Joghee, S., Alves, E., Bannimath, B., Mohan, N., Kumar, P. B. R., & Madhunapantula, S. V. (2025). Comprehensive exploration of ferulic acid from corn leaves: Extraction, structural characterization, HPLC quantification, and anti-inflammatory evaluation through in silico docking, molecular dynamics simulation, and in vitro studies. Tropical Journal of Natural Product Research. https://doi.org/10.26538/tjnpr/v9i3.61
Safdari, H., & Hamidi-Esfahani, Z. (2025). Effect of potato pulp as a natural antioxidant on fat oxidation of fish waste during solid-state fermentation. Applied Food Research. https://doi.org/10.1016/j.afres.2025.101065 DOI: https://doi.org/10.1016/j.afres.2025.101065
Saleem, A., Munawar, A., & Kauser, S. (2025). Removal of Naphthol Green B and Indigo Carmine from wastewater by wheat bran and urea-modified rice husk. Environmental Monitoring and Assessment. https://doi.org/10.1007/s10661-025-13719-x DOI: https://doi.org/10.1007/s10661-025-13719-x
Serbent, M. P. (2025). Immobilization of fungal laccase on peanut shell carriers. Biocatalysis and Agricultural Biotechnology. https://doi.org/10.1016/j.bcab.2025.103581 DOI: https://doi.org/10.1016/j.bcab.2025.103581
Sham, Y. T., Pan, M., Luo, L., Ho, K. C. K., Yu, J. Y. N., & Xu, S. J. (2026). Dual mechanisms of nanobubble technology for plant growth enhancement and soil remediation amid challenges. Water, Air, and Soil Pollution. https://doi.org/10.1007/s11270-025-08803-4 DOI: https://doi.org/10.1007/s11270-025-08803-4
Sousa, A. S., Sousa, S., Silva, I. V., Reis, C. A., Coscueta, E. R., & Pintado, M. M. (2025). Microwave hydrodiffusion and gravity: A green extraction technology for phenylethyl isothiocyanate from watercress by-products. Food Chemistry. https://doi.org/10.1016/j.foodchem.2025.144551 DOI: https://doi.org/10.2139/ssrn.5074713
Struszczyk-Świta, K., Drożdżyński, P., Marcinkowski, P., Nadziejko, A., Rodziewicz, M., Januszewicz, B., Gierszewska, M., & Marchut-Mikołajczyk, O. (2025). Feather waste biodegradation and biostimulant potential of Gordonia alkanivorans S7: A novel keratinolytic actinobacterium for sustainable waste valorization. International Journal of Molecular Sciences. https://doi.org/10.3390/ijms26136494 DOI: https://doi.org/10.3390/ijms26136494
Sun, J., Chen, G., Huang, J., Wang, J., Huang, X., Yang, L., & Zhang, X. (2025). Ultrasound-enhanced bio-based active packaging films derived from passion fruit waste pectin: Structural evolution, property correlations, and antioxidant activity through eggshell and oleuropein integration. Ultrasonics Sonochemistry. https://doi.org/10.1016/j.ultsonch.2025.107596 DOI: https://doi.org/10.1016/j.ultsonch.2025.107596
Szczepanska, E., Pietrzak, W., & Boratyński, F. (2025). High-yield vanillin production through RSM-optimized solid-state fermentation process from brewer’s spent grains in a single-use bag bioreactor. Molecules. https://doi.org/10.3390/molecules30173452 DOI: https://doi.org/10.3390/molecules30173452
Tamborrino, A., Veneziani, G., Leone, A., Berardi, A., Esposto, S., & Servili, M. (2025). Ultrasound systems integrated into industrial continuous-flow extraction process: Cultivar-based assessment for improved yield and quality. Ultrasonics Sonochemistry. https://doi.org/10.1016/j.ultsonch.2025.107451 DOI: https://doi.org/10.2139/ssrn.5243715
Tong, X., Shen, X.-Y., Huang, M.-R., & Hou, C.-L. (2025). Enhancement of perylenequinonoid compounds production from strain of Pseudoshiraia conidialis by UV-induced mutagenesis. Microorganisms. https://doi.org/10.3390/microorganisms13091999 DOI: https://doi.org/10.3390/microorganisms13091999
Wang, S., Guo, X., Gao, J., Yu, X., Chen, Z., Toor, G. S., & Zhou, J. (2026). Optimizing nitrogen-water use efficiency for nitrate reduction: Spatiotemporal strategies and potential of climate-smart kiwifruit agriculture across SSP scenarios. Water Research. https://doi.org/10.1016/j.watres.2025.125073 DOI: https://doi.org/10.1016/j.watres.2025.125073
Wang, W., Shi, H., Shi, H., Fedorova, T. V., Glazunova, O. A., Mao, L., Zhang, L., Zhu, L., Wu, C., & Liu, X. (2025). Highly porous biochar engineered from agricultural waste for efficient removal of sulfonylurea herbicides in aqueous systems. Environmental Research. https://doi.org/10.1016/j.envres.2025.122523 DOI: https://doi.org/10.1016/j.envres.2025.122523
Xue, Z., Zhang, Y., Zhang, J., Chen, F., Huan, K., & Zhao, B. (2025). Detection of amylose in fresh corn ears based on near-infrared spectroscopy. Smart Agriculture. https://doi.org/10.12133/j.smartag.sa202505030
Zhang, Y. S., Lv, T., Jiang, Q., Zeng, X., Li, F., & Xu, D. (2025). Screening of a gossypol-removing yeast strain and characterization of its removal mechanism. Microorganisms, 13(10), 2251. https://doi.org/10.3390/microorganisms13102251 DOI: https://doi.org/10.3390/microorganisms13102251
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Copyright (c) 2026 Blakeslees Streisand Suarez Munoz , Cristian Andrés Flores Cadena , Jessica Elizabeth Cedeño Bermeo , Luis Adrián Choez Acosta , Cristhian Paul Rivadeneira Burgos

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