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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">foodsyst</journal-id><journal-title-group><journal-title xml:lang="en">Food systems</journal-title><trans-title-group xml:lang="ru"><trans-title>Пищевые системы</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2618-9771</issn><issn pub-type="epub">2618-7272</issn><publisher><publisher-name>Федеральный научный центр пищевых систем им. В.М. Горбатова РАН</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21323/2618-9771-2024-7-4-543-550</article-id><article-id custom-type="elpub" pub-id-type="custom">foodsyst-625</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Predicting composition of a functional food product using computer simulation</article-title><trans-title-group xml:lang="ru"><trans-title>Прогнозирование состава функционального пищевого продукта с  использованием компьютерной симуляции</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8313-4105</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Никитина</surname><given-names>М. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Nikitina</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Никитина Марина Александровна — доктор технических наук, доцент, ведущий научный сотрудник, руководитель направления Информационные технологии Центра «Экономико-аналитических исследований и информационных технологий»</p><p>109316, Москва, ул. Талалихина, 26</p><p>Тел.: +7–495–676–95–11 доб. 297</p></bio><bio xml:lang="en"><p>Marina A. Nikitina, Doctor of Technical Sciences, Docent, Leading Scientific Worker, Head of the Direction of Information Technologies of the Center of Economic and Analytical Research and Information Technologies</p><p>26, Talalikhin str., 109316, Moscow</p><p>Tel: +7–495–676–95–11 (297)</p></bio><email xlink:type="simple">m.nikitina@fncps.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4298-0927</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чернуха</surname><given-names>И. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Chernukha</surname><given-names>I. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Чернуха Ирина Михайловна  — доктор технических наук, профессор, академик РАН, Руководитель Отдела координации инициативных и международных проектов</p><p>109316, Москва, ул. Талалихина, 26</p><p>Тел.: +7–495–676–95–11 доб. 109</p></bio><bio xml:lang="en"><p>Irina M. Chernukha, Doctor of Technical Sciences, Professor, Academician of the Russian Academy of Sciences, Head of the Department for Coordination of Initiative and International Projects</p><p>26, Talalikhin str, 109316, Moscow</p><p>Tel: +7–495–676–95–11 (109)</p></bio><email xlink:type="simple">imcher@inbox.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8372-3594</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Артамонова</surname><given-names>М. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Artamonova</surname><given-names>M. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Артамонова Марина Петровна — кандидат технических наук, профессор, кафедра конструирования функциональных продуктов питания и нутрициологии</p><p>125080, Москва, Волоколамское шоссе, 11</p><p>Tel: +7–499–750–01–11(6015)</p></bio><bio xml:lang="en"><p>Marina P. Artamonova, Candidate of Technical Sciences, Professor, Department of Design of Functional Food Products and Nutrition</p><p>11, Volokolamsk highway, 125080, Moscow</p><p>Tel: +7–499–750–01–11(6015)</p></bio><email xlink:type="simple">ya.artmarina@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2193-0624</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кусай</surname><given-names>А. Т.</given-names></name><name name-style="western" xml:lang="en"><surname>Qusay</surname><given-names>A. T.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кусай Абу Траби — аспирант, Кафедра конструирования функциональных продуктов питания и  нутрициологии</p><p>125080, Москва, Волоколамское шоссе, 11; Площадь Асси, Хама, Сирия</p><p>Tel: +7–499–750–01–11(6015)</p></bio><bio xml:lang="en"><p>Abu T.  Qusay, Postgraduate Student, Department of Design of Functional Food Products and Nutrition</p><p>11, Volokolamsk highway, 125080, Moscow; Assi Square, Hama, Syria</p><p>Tel: +7–499–750–01–11(6015)</p></bio><email xlink:type="simple">usay2077@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Федеральный научный центр пищевых систем им. В. М. Горбатова<country>Россия</country></aff><aff xml:lang="en">V.M. Gorbatov Federal Research Center for Foods Systems<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Российский биотехнологический университет (Росбиотех)<country>Россия</country></aff><aff xml:lang="en">Russian Biotechnological University (Rosbiotech)<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru">Российский биотехнологический университет (Росбиотех); Университет Хамы<country>Россия</country></aff><aff xml:lang="en">Russian Biotechnological University (Rosbiotech); University of Hama<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>01</day><month>02</month><year>2025</year></pub-date><volume>7</volume><issue>4</issue><fpage>543</fpage><lpage>550</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Nikitina M.A., Chernukha I.M., Artamonova M.P., Qusay A.T., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Никитина М.А., Чернуха И.М., Артамонова М.П., Кусай А.Т.</copyright-holder><copyright-holder xml:lang="en">Nikitina M.A., Chernukha I.M., Artamonova M.P., Qusay A.T.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.fsjour.com/jour/article/view/625">https://www.fsjour.com/jour/article/view/625</self-uri><abstract><p>One of the frontiers of science is the development of a digital twin for a food product to predict composition and properties of a future product. Today, however, computer simulation (modeling) is used for predicting the composition of a food product. The aim of our research is to compare the levels of the nutritional value parameters from a digital model and a real food product and to assess adequacy of the obtained data. The objects of the research were the emulsified meat-and-plant product based on the traditional meal “Mukhamar” and a digital model (computer simulator) of the recipe of the emulsified meat-andplant product. By the example of the development of the emulsified meat-and-plant product based on the traditional meal “Mukhamar”, stages of the development of a digital twin of a food product are shown. It was demonstrated that it is incorrect to use a digital model without supporting it with data (numerical values) obtained from apparatus, sensors. The calculated parameters were compared with the data obtained empirically (as a result of the laboratory experiment) in three blocks: physicochemical indicators, vitamins and minerals. Simulation and calculation of the absolute and relative errors were performed in the program environment R Studio. Differences between the calculated and empirical data can be explained, firstly, by the average values of parameters in food product databases. As for now, databases contain averaged data, which do not take into account individual characteristics of animal and plant raw materials. Secondly, it is necessary to take into consideration the coefficient of losses (or coefficient of preservation) of food nutrients during thermal treatment of food. It has been established that only the development of the precise digital twin with regard to all parameters will help to trace quality parameters at each stage of the production, which will allow reacting timely to deviations and improving quality of the final product.</p></abstract><trans-abstract xml:lang="ru"><p>Одним из фронтиров науки является разработка цифрового двойника пищевого продукта для прогнозирования состава и свойств будущего продукта. Однако в настоящее время для прогнозирования состава пищевого продукта используют компьютерную симуляцию (моделированию). Цель нашего исследования сопоставить значения показателей пищевой ценности цифровой модели и реального пищевого продукта, и оценить адекватность полученных данных. Объектами исследования были эмульгированный мясорастительный продукт на основе традиционного блюда «Мухаммара» и цифровая модель (компьютерный симулятор) рецептуры эмульгированного мясорастительного продукта. На примере разработки эмульгированного мясорастительного продукта на основе традиционного блюда «Мухаммара» показаны этапы разработки цифрового двойника пищевого продукта. Показана некорректность использования цифровой модели без подкрепления ее данными (числовыми значениями), полученных с приборов, датчиков. В исследовании сравнили расчетные показатели с данными, полученными эмпирическим путем (в результате лабораторного эксперимента) в трех блоках: физико-химические показатели, витамины и минеральные вещества. Симуляцию и расчет абсолютной и относительной ошибки осуществляли в программной среде R Studio. Расхождение в данных расчетных и эмпирических, вопервых, можно объяснить средними значениями показателей, которые содержаться в базах данных пищевых продуктов. В базах данных на данный момент времени содержаться усредненные данные, не учитывающие индивидуальные характеристики сырья животного и растительного происхождения. Во-вторых, необходимо учитывать коэффициент потерь (или коэффициент сохранения) пищевых нутриентов при тепловой или термической обработке пищевого продукта. Установлено, что только разработка точного цифрового двойника с учетом всех параметров поможет отслеживать параметры качества на каждом этапе производства, что позволит оперативно реагировать на отклонения и улучшать качество конечного продукта.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>пищевой продукт</kwd><kwd>цифровой двойник</kwd><kwd>цифровая модель</kwd><kwd>датчики</kwd><kwd>жизненный цикл продукта</kwd><kwd>ошибка</kwd><kwd>прогнозирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>food</kwd><kwd>digital twin</kwd><kwd>digital model</kwd><kwd>sensor</kwd><kwd>product lifecycle</kwd><kwd>error</kwd><kwd>prediction</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Статья подготовлена в  рамках выполнения исследований по государственному заданию FGUS-2024-0003 ФГБНУ «ФНЦ пищевых систем им. В. М. Горбатова» РАН.</funding-statement></funding-group><funding-group xml:lang="en"><funding-statement>The article was published as part of the research topic No. FGUS-2024-0003 of the state assignment of the V. M. Gorbatov Federal Research Center for Food Systems of RAS.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Palatini, P., Saladini, F., Mos, L., Vriz, O., Ermolao, A., Battista, F. et al. (2024). Healthy overweight and obesity in the young: Prevalence and risk of major adverse cardiovascular events. Nutrition, Metabolism and Cardiovascular Diseases, 34(3), 783–791. https://doi.org/10.1016/j.numecd.2023.11.013</mixed-citation><mixed-citation xml:lang="en">Palatini, P., Saladini, F., Mos, L., Vriz, O., Ermolao, A., Battista, F. et al. (2024). Healthy overweight and obesity in the young: Prevalence and risk of major adverse cardiovascular events. Nutrition, Metabolism and Cardiovascular Diseases, 34(3), 783–791. https://doi.org/10.1016/j.numecd.2023.11.013</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Kivimäki, M., Kuosma, E., Ferrie, J. E., Luukkonen, R., Nyberg, S. T., Alfredsson, L. et al. (2017). Overweight, obesity, and risk of cardiometabolic multimorbidity: Pooled analysis of individual-level data for 120813 adults from 16 cohort studies from the USA and Europe. The Lancet Public Health, 2(6), e277-e285. http://doi.org/10.1016/S2468-2667(17)30074-9</mixed-citation><mixed-citation xml:lang="en">Kivimäki, M., Kuosma, E., Ferrie, J. E., Luukkonen, R., Nyberg, S. T., Alfredsson, L. et al. (2017). Overweight, obesity, and risk of cardiometabolic multimorbidity: Pooled analysis of individual-level data for 120813 adults from 16 cohort studies from the USA and Europe. The Lancet Public Health, 2(6), e277-e285. http://doi.org/10.1016/S2468-2667(17)30074-9</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Eckel, N., Meidtner, K., Kalle-Uhlmann, T., Stefan, N., Schulze, M.B. (2016). Metabolically healthy obesity and cardiovascular events: A Systematic review and meta-analysis. European Journal of Preventive Cardiology, 23(9), 956–966. http://doi.org/10.1177/2047487315623884</mixed-citation><mixed-citation xml:lang="en">Eckel, N., Meidtner, K., Kalle-Uhlmann, T., Stefan, N., Schulze, M.B. (2016). Metabolically healthy obesity and cardiovascular events: A Systematic review and meta-analysis. European Journal of Preventive Cardiology, 23(9), 956–966. http://doi.org/10.1177/2047487315623884</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Nayak, B.N., Singh, R.B., Buttar, H.S. (2022). Biochemical and dietary functions of tryptophan and its metabolites in human health. Chapter in a book: Functional Foods and Nutraceuticals in Metabolic and Non-Communicable Diseases. Academic Press, 2022. https://doi.org/10.1016/B978-0-12-819815-5.00003-3</mixed-citation><mixed-citation xml:lang="en">Nayak, B.N., Singh, R.B., Buttar, H.S. (2022). Biochemical and dietary functions of tryptophan and its metabolites in human health. Chapter in a book: Functional Foods and Nutraceuticals in Metabolic and Non-Communicable Diseases. Academic Press, 2022. https://doi.org/10.1016/B978-0-12-819815-5.00003-3</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Gupta, S.K., Vyavahare, S., Blanes, I.L.D., Berger, F., Isales, C., Fulzele, S. (2023). Microbiota-derived tryptophan metabolism: Impacts on health, aging, and disease. Experimental Gerontology, 183, Article 112319. https://doi.org/10.1016/j.exger.2023.112319</mixed-citation><mixed-citation xml:lang="en">Gupta, S.K., Vyavahare, S., Blanes, I.L.D., Berger, F., Isales, C., Fulzele, S. (2023). Microbiota-derived tryptophan metabolism: Impacts on health, aging, and disease. Experimental Gerontology, 183, Article 112319. https://doi.org/10.1016/j.exger.2023.112319</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Wang, J., Liu, J., John, A., Jiang, Y., Zhu, H., Yang, B. et al. (2022). Structure identification of walnut peptides and evaluation of cellular antioxidant activity (2022). Food Chemistry, 388, Article 132943. https://doi.org/10.1016/j.foodchem.2022.132943</mixed-citation><mixed-citation xml:lang="en">Wang, J., Liu, J., John, A., Jiang, Y., Zhu, H., Yang, B. et al. (2022). Structure identification of walnut peptides and evaluation of cellular antioxidant activity (2022). Food Chemistry, 388, Article 132943. https://doi.org/10.1016/j.foodchem.2022.132943</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Kalaycıoğlu, Z., Erim, F.B. (2017). Total phenolic contents, antioxidant activities, and bioactive ingredients of juices from pomegranate cultivars worldwide. Food Chemistry, 221, 496–507. https://doi.org/10.1016/j.foodchem.2016.10.084</mixed-citation><mixed-citation xml:lang="en">Kalaycıoğlu, Z., Erim, F.B. (2017). Total phenolic contents, antioxidant activities, and bioactive ingredients of juices from pomegranate cultivars worldwide. Food Chemistry, 221, 496–507. https://doi.org/10.1016/j.foodchem.2016.10.084</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Larsson, S.C., Woolf, B., Gill, D. (2023). Appraisal of the causal effect of plasma caffeine on adiposity, type 2 diabetes, and cardiovascular disease: Two sample mendelian randomisation study. BMJ Medicine, 2, Article e000335. https://doi.org/10.1136/bmjmed2022-000335</mixed-citation><mixed-citation xml:lang="en">Larsson, S.C., Woolf, B., Gill, D. (2023). Appraisal of the causal effect of plasma caffeine on adiposity, type 2 diabetes, and cardiovascular disease: Two sample mendelian randomisation study. BMJ Medicine, 2, Article e000335. https://doi.org/10.1136/bmjmed2022-000335</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Kritzinger, W., Karner, M., Traar, G., Henjes, J., Sihn, W. (2018). Digital Twin in manufacturing: A categorical literature review and classification. IFAC-PapersOnLine, 51(11), 1016–1022. https://doi.org/10.1016/j.ifacol.2018.08.474</mixed-citation><mixed-citation xml:lang="en">Kritzinger, W., Karner, M., Traar, G., Henjes, J., Sihn, W. (2018). Digital Twin in manufacturing: A categorical literature review and classification. IFAC-PapersOnLine, 51(11), 1016–1022. https://doi.org/10.1016/j.ifacol.2018.08.474</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Santner, T.J., Williams, B.J., Notz, W.I. (2018). The Design and Analysis of Computer Experiments. New York: Springer, 2018. https://doi.org/10.1007/978-1-4939-8847-1</mixed-citation><mixed-citation xml:lang="en">Santner, T.J., Williams, B.J., Notz, W.I. (2018). The Design and Analysis of Computer Experiments. New York: Springer, 2018. https://doi.org/10.1007/978-1-4939-8847-1</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Cabeza-Gil, I., Ríos-Ruiz, I., Martínez, M.Á., Calvo, B., Grasa, J. (2023). Digital twins for monitoring and predicting the cooking of food products: A case study for a French crêpe. Journal of Food Engineering, 359, Article 111697. https://doi.org/10.1016/j.jfoodeng.2023.111697</mixed-citation><mixed-citation xml:lang="en">Cabeza-Gil, I., Ríos-Ruiz, I., Martínez, M.Á., Calvo, B., Grasa, J. (2023). Digital twins for monitoring and predicting the cooking of food products: A case study for a French crêpe. Journal of Food Engineering, 359, Article 111697. https://doi.org/10.1016/j.jfoodeng.2023.111697</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Karadeniz, A.M., Arif, İ., Kanak A., Ergün S. (May 26–29, 2019). Digital Twin of eGastronomic Things: A Case Study for Ice Cream Machines. In Proceedings of the 2019 IEEE International Symposium on Circuits and Systems (ISCAS), Sapporo, Japan, 2019. https://doi.org/10.1109/ISCAS.2019.8702679</mixed-citation><mixed-citation xml:lang="en">Karadeniz, A.M., Arif, İ., Kanak A., Ergün S. (May 26–29, 2019). Digital Twin of eGastronomic Things: A Case Study for Ice Cream Machines. In Proceedings of the 2019 IEEE International Symposium on Circuits and Systems (ISCAS), Sapporo, Japan, 2019. https://doi.org/10.1109/ISCAS.2019.8702679</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Kannapinn, M., Pham, M.K., Schäfer, M. (2022). Physics-based digital twins for autonomous thermal food processing: Efficient, non-intrusive reduced-order modeling. Innovative Food Science and Emerging Technologies, 81, Article 103143. https://doi.org/10.1016/j.ifset.2022.103143</mixed-citation><mixed-citation xml:lang="en">Kannapinn, M., Pham, M.K., Schäfer, M. (2022). Physics-based digital twins for autonomous thermal food processing: Efficient, non-intrusive reduced-order modeling. Innovative Food Science and Emerging Technologies, 81, Article 103143. https://doi.org/10.1016/j.ifset.2022.103143</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Krupitzer, C., Roth, F.M., VanSyckel, S., Schiele, G., Becker, C. (2015). A survey on engineering approaches for self-adaptive systems. Pervasive and Mobile Computing, 17(Part B), 184–206. https://doi.org/10.1016/j.pmcj.2014.09.009</mixed-citation><mixed-citation xml:lang="en">Krupitzer, C., Roth, F.M., VanSyckel, S., Schiele, G., Becker, C. (2015). A survey on engineering approaches for self-adaptive systems. Pervasive and Mobile Computing, 17(Part B), 184–206. https://doi.org/10.1016/j.pmcj.2014.09.009</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Defraeye, T., Shrivastava, C., Berry, T., Verboven, P., Onwude, D., Schudel, S. et al. (2021). Digital twins are coming: Will we need them in supply chains of fresh horticultural produce? Trends in Food Science and Technology, 109, 245–258. https://doi.org/10.1016/j.tifs.2021.01.025</mixed-citation><mixed-citation xml:lang="en">Defraeye, T., Shrivastava, C., Berry, T., Verboven, P., Onwude, D., Schudel, S. et al. (2021). Digital twins are coming: Will we need them in supply chains of fresh horticultural produce? Trends in Food Science and Technology, 109, 245–258. https://doi.org/10.1016/j.tifs.2021.01.025</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Lv, Z., Xie, S. (2021). Artificial intelligence in the digital twins: State of the art, challenges, and future research topics. Digital Twin, 1–12. https://doi.org/10.12688/digitaltwin.17524.1</mixed-citation><mixed-citation xml:lang="en">Lv, Z., Xie, S. (2021). Artificial intelligence in the digital twins: State of the art, challenges, and future research topics. Digital Twin, 1–12. https://doi.org/10.12688/digitaltwin.17524.1</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Attaran, M. (2017). The Internet of Things: Limitless opportunities for business and society. Journal of Strategic Innovation and Sustainability, 12(1), 10–29.</mixed-citation><mixed-citation xml:lang="en">Attaran, M. (2017). The Internet of Things: Limitless opportunities for business and society. Journal of Strategic Innovation and Sustainability, 12(1), 10–29.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Hou, L., Wu, S., Zhang, G., Tan, Y., Wang, X. (2020). Literature review of digital twins applications in construction workforce safety. Applied Sciences, 11(1), Article 339. https://doi.org/10.3390/app11010339</mixed-citation><mixed-citation xml:lang="en">Hou, L., Wu, S., Zhang, G., Tan, Y., Wang, X. (2020). Literature review of digital twins applications in construction workforce safety. Applied Sciences, 11(1), Article 339. https://doi.org/10.3390/app11010339</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Shu, Z., Wan, J., Zhang, D. (2016). Cloud-integrated cyber–physical systems for complex industrial applications. Mobile Networks and Applications, 21, 865–878. https://doi.org/10.1007/s11036-015-0664-6</mixed-citation><mixed-citation xml:lang="en">Shu, Z., Wan, J., Zhang, D. (2016). Cloud-integrated cyber–physical systems for complex industrial applications. Mobile Networks and Applications, 21, 865–878. https://doi.org/10.1007/s11036-015-0664-6</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Henrichs, E., Noack, T., Pinzon Piedrahita, A.M., Salem, M.A., Stolz, J., Krupitzer, C. (2022). Can a byte improve our bite? An analysis of digital twins in the food industry. Sensors, 22(1), Article 115. https://doi.org/10.3390/s22010115</mixed-citation><mixed-citation xml:lang="en">Henrichs, E., Noack, T., Pinzon Piedrahita, A.M., Salem, M.A., Stolz, J., Krupitzer, C. (2022). Can a byte improve our bite? An analysis of digital twins in the food industry. Sensors, 22(1), Article 115. https://doi.org/10.3390/s22010115</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Lisitsyn, A.B., Chernukha, I.M., Nikitina, M.A. (2023). Cyber-physical systems in food production chain. Theory and Practice of Meat Processing, 8(4), 316–325. https://doi.org/10.21323/2414-438X2023-8-4-316-325</mixed-citation><mixed-citation xml:lang="en">Lisitsyn, A.B., Chernukha, I.M., Nikitina, M.A. (2023). Cyber-physical systems in food production chain. Theory and Practice of Meat Processing, 8(4), 316–325. https://doi.org/10.21323/2414-438X2023-8-4-316-325</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Rajak, P., Ganguly, A., Adhikary, S., Bhattacharya, S. (2023). Internet of Things and smart sensors in agriculture: Scopes and challenges. Journal of Agriculture and Food Research, 14, Article 100776. https://doi.org/10.1016/j.jafr.2023.100776</mixed-citation><mixed-citation xml:lang="en">Rajak, P., Ganguly, A., Adhikary, S., Bhattacharya, S. (2023). Internet of Things and smart sensors in agriculture: Scopes and challenges. Journal of Agriculture and Food Research, 14, Article 100776. https://doi.org/10.1016/j.jafr.2023.100776</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Alfian, G., Rhee, J., Ahn, H., Lee, J., Farooq, U., Ijaz, M.F., Syaekhoni, M.A. (2017). Integration of RFID, wireless sensor networks, and data mining in an e-pedigree food traceability system. Journal of Food Engineering, 212, 65–75. https://doi.org/10.1016/j.jfoodeng.2017.05.008</mixed-citation><mixed-citation xml:lang="en">Alfian, G., Rhee, J., Ahn, H., Lee, J., Farooq, U., Ijaz, M.F., Syaekhoni, M.A. (2017). Integration of RFID, wireless sensor networks, and data mining in an e-pedigree food traceability system. Journal of Food Engineering, 212, 65–75. https://doi.org/10.1016/j.jfoodeng.2017.05.008</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Yu, S., Liu, X., Tan, Q., Wang, Z., Zhang, B. (2024). Sensors, systems and algorithms of 3D reconstruction for smart agriculture and precision farming: A review. Computers and Electronics in Agriculture, 224(9), Article 109229. https://doi.org/10.1016/j.compag.2024.109229</mixed-citation><mixed-citation xml:lang="en">Yu, S., Liu, X., Tan, Q., Wang, Z., Zhang, B. (2024). Sensors, systems and algorithms of 3D reconstruction for smart agriculture and precision farming: A review. Computers and Electronics in Agriculture, 224(9), Article 109229. https://doi.org/10.1016/j.compag.2024.109229</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Mon, T., ZarAung, N. (2020). Vision based volume estimation method for automatic mango grading system. Biosystems Engineering, 198(10), 338–349. https://doi.org/10.1016/j.biosystemseng.2020.08.021</mixed-citation><mixed-citation xml:lang="en">Mon, T., ZarAung, N. (2020). Vision based volume estimation method for automatic mango grading system. Biosystems Engineering, 198(10), 338–349. https://doi.org/10.1016/j.biosystemseng.2020.08.021</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Yimyam, P., Clark, A.F. (February 3–6, 2016). 3D reconstruction and feature extraction for agricultural produce grading. In Proceedings of the 8th International Conference on Knowledge and Smart Technology (KST), Chiang Mai, Thailand, 2016. https://doi.org/10.1109/KST.2016.7440482</mixed-citation><mixed-citation xml:lang="en">Yimyam, P., Clark, A.F. (February 3–6, 2016). 3D reconstruction and feature extraction for agricultural produce grading. In Proceedings of the 8th International Conference on Knowledge and Smart Technology (KST), Chiang Mai, Thailand, 2016. https://doi.org/10.1109/KST.2016.7440482</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Guo, P., Dusadeerungsikul, P.O., Nof, S.Y. (2018). Agricultural cyber physical system collaboration for greenhouse stress management. Computers and Electronics in Agriculture, 150, 439–454. https://doi.org/10.1016/j.compag.2018.05.022</mixed-citation><mixed-citation xml:lang="en">Guo, P., Dusadeerungsikul, P.O., Nof, S.Y. (2018). Agricultural cyber physical system collaboration for greenhouse stress management. Computers and Electronics in Agriculture, 150, 439–454. https://doi.org/10.1016/j.compag.2018.05.022</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Ahmad, I., Pothuganti, K. (September 10–12, 2020). Smart field monitoring using ToxTrac: A cyber–physical system approach in agriculture. In Proceedings of the 2020 International Conference on Smart Electronics and Communication (ICOSEC), Trichy, India, 2020. https://doi.org/10.1109/ICOSEC49089.2020.9215282</mixed-citation><mixed-citation xml:lang="en">Ahmad, I., Pothuganti, K. (September 10–12, 2020). Smart field monitoring using ToxTrac: A cyber–physical system approach in agriculture. In Proceedings of the 2020 International Conference on Smart Electronics and Communication (ICOSEC), Trichy, India, 2020. https://doi.org/10.1109/ICOSEC49089.2020.9215282</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Skobelev, P., Laryukhin, V., Simonova, E., Goryanin, O., Yalovenko, V., Yalovenko, O. (July 27–28, 2020). Developing a smart cyber–physical system based on digital twins of plants. In Proceedings of the 2020 Fourth World Conference on Smart Trends in Systems, Security and Sustainability (WorldS4), London, UK, 2020. https://doi.org/10.1109/WorldS450073.2020.9210359</mixed-citation><mixed-citation xml:lang="en">Skobelev, P., Laryukhin, V., Simonova, E., Goryanin, O., Yalovenko, V., Yalovenko, O. (July 27–28, 2020). Developing a smart cyber–physical system based on digital twins of plants. In Proceedings of the 2020 Fourth World Conference on Smart Trends in Systems, Security and Sustainability (WorldS4), London, UK, 2020. https://doi.org/10.1109/WorldS450073.2020.9210359</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Siemens AG. (2018). Customization in the Food and Beverage Industry. Spotlight on the Digital Twin. White Paper. 2018. Retrieved from https://www.foodengineeringmag.com/ext/resources/WhitePapers/FE_Whitepaper_CustomizationFood-and-Beverage.pdf Accessed June 20, 2024.</mixed-citation><mixed-citation xml:lang="en">Siemens AG. (2018). Customization in the Food and Beverage Industry. Spotlight on the Digital Twin. White Paper. 2018. Retrieved from https://www.foodengineeringmag.com/ext/resources/WhitePapers/FE_Whitepaper_CustomizationFood-and-Beverage.pdf Accessed June 20, 2024.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Mclean, V., Redmond, W. (2021). Mars and Microsoft Work together to Accelerate Mars’ Digital Transformation and Reimagine Business Operations, Associate Experience and Consumer Engagement. Press Release. 2021. Retrieved from https://news.microsoft.com/2021/05/13/mars-and-microsoft-work-togetherto-accelerate-mars-digital-transformation-and-reimagine-business-operations-associate-experience-and-consumer-engagement/ Accessed June 20, 2024.</mixed-citation><mixed-citation xml:lang="en">Mclean, V., Redmond, W. (2021). Mars and Microsoft Work together to Accelerate Mars’ Digital Transformation and Reimagine Business Operations, Associate Experience and Consumer Engagement. Press Release. 2021. Retrieved from https://news.microsoft.com/2021/05/13/mars-and-microsoft-work-togetherto-accelerate-mars-digital-transformation-and-reimagine-business-operations-associate-experience-and-consumer-engagement/ Accessed June 20, 2024.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Патент № 2015620557. Пищевые продукты. Никитина М. А., Лисицын А. Б., Захаров А. Н., Сусь Е. Б., Пилюгина С. А., Дыдыкин А. С., Устинова Опубл. 12.02.2015. https://doi.org/10.1017/CBO9780511702396.063</mixed-citation><mixed-citation xml:lang="en">А. В. Nikitina, M.A., Lisitsyn, A.B., Zakharov, A.N., Sus, E.B., Pilugina, S.A., Dydykin, A.S., Ustinova, A.V. (2015). Food products. Patent RF no. 2015620557, 2013 (In Russian)</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Cauchy, A.-L. (1847). Méthode générale pour la résolution des systèmes d’équations simultanées. Comptes rendus de l’Académie des Sciences, XXV, 536– 538. https://doi.org/10.1017/CBO9780511702396.063</mixed-citation><mixed-citation xml:lang="en">Cauchy, A.-L. (1847). Méthode générale pour la résolution des systèmes d’équations simultanées. Comptes rendus de l’Académie des Sciences, XXV, 536– 538. [Cauchy, A.-L. (1847). General method for solving systems of simultaneous equations. Comptes rendus de l’Académie des Sciences, XXV, 536–538. (In French)] https://doi.org/10.1017/CBO9780511702396.063</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Поляк, Б.Т. (1963). Градиентные методы минимизации функционалов, решения уравнений и неравенств. Автореф. дис. канд. физ-мат. наук. М.: МГУ. — 9 с.</mixed-citation><mixed-citation xml:lang="en">Polyak, B. T. Gradient methods for the minimization of functionals, solving equations and inequalities Author’s abstract of the dissertation for the scientific degree of Candidate of Physical and Mathematical Sciences. Moscow: MSU, — P. 9. (In Russian)</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Канторович, Л.В., Акилов, Г.П. (2004). Функциональный анализ. СПб.: Невский диалект, 2004.</mixed-citation><mixed-citation xml:lang="en">Kantorovich, L.V., Akilov, G.P. (2004). Functional analysis. Saint-Petersburg: Nevsky dialect, 2004. (In Russian)</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Bhadani, R. (2021). Nonlinear Optimization in R using nlopt. https://doi.org/10.48550/arXiv.2101.02912</mixed-citation><mixed-citation xml:lang="en">Bhadani, R. (2021). Nonlinear Optimization in R using nlopt. https://doi.org/10.48550/arXiv.2101.02912</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Лисицын, А.Б., Чернуха, И.М., Никитина, М.А. (2021). Конструирование многокомпонентных продуктов питания. Москва: Издательство «МГУПП», 2021.</mixed-citation><mixed-citation xml:lang="en">Lisitsyn, A.B., Chernukha, I.M., Nikitina, M.A. (2021). Construction of multi-component food products. Moscow: MGUPP, 2021. (In Russian)</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Chernukha, I.M., Nikitina, M.A., Aslanova, M.A., Qusay, A.T. (2022). Systemic approach in the development of functional foods for various noncommunicable diseases. Theory and Practice of Meat Processing, 7(3), 164–176. https://doi.org/10.21323/2414-438X2022-7-3-164-176</mixed-citation><mixed-citation xml:lang="en">Chernukha, I.M., Nikitina, M.A., Aslanova, M.A., Qusay, A.T. (2022). Systemic approach in the development of functional foods for various noncommunicable diseases. Theory and Practice of Meat Processing, 7(3), 164–176. https://doi.org/10.21323/2414-438X2022-7-3-164-176</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Никитина, М.А., Чернуха, И.М., Кусай, А.Т. (2022). Мониторинг жизненного цикла пищевого продукта, созданного на основе цифрового двойника. Всё о мясе, 4, 22–26. https://doi.org/10.21323/2071-2499-2022-4-22-26</mixed-citation><mixed-citation xml:lang="en">Nikitina, M.A., Chernukha, I.M., Qusay, A.T. (2022). Monitoring the life cycle of a food product created on the basis of the digital twin. Vsyo o Myase, 4, 22–26. (In Russian)] https://doi.org/10.21323/2071-2499-2022-4-22-26</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Асланова, М.А., Деревицкая, О.К., Дыдыкин, А.С., Беро, А.Л., Солдатова, Н.Е. (2024). Разработка технологии функциональных мясных кулинарных изделий с использованием кардионутрициологических принципов. Все о мясе, 1, 36–39. https://doi.org/10.21323/2071-2499-2024-1-36-39</mixed-citation><mixed-citation xml:lang="en">Aslanova, M.A., Derevitskaya, O.K., Dydykin, A.S., Bero, A.L., Soldatova, N. E. Development of the technology for functional meat culinary products using cardionutrient principles. Vsyo o myase, № 1, 36–39. (In  Russian). https://doi.org/10.21323/2071-2499-2024-1-36-39</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Макарова, А.А., Лисин, П.А., Пасько, О.В. (2021). Проектирование аналоговых мясных полуфабрикатов с применением симплекс-метода. Индустрия питания, 6(2), 50–58. https://doi.org/10.29141/2500-1922-2021-6-2-6</mixed-citation><mixed-citation xml:lang="en">Makarova, A.A., Lisin, P.A., Pasko, O.V. (2021). Design of analog meat semi-finished products using the simplex method. Food Industry, 6(2), 50–58. (In Russian) https://doi.org/10.29141/2500-1922-2021-6-2-6</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Скурихин, И.М., Нечаев, А.П. (1991). Все о пище с точки зрения химика. Москва: Высшая школа, 1991.</mixed-citation><mixed-citation xml:lang="en">Skurikhin, I.M., Nechaev, A.P. (1991). All about food from the point of view of a chemist. Moscow: Higher education, 1991. (In Russian)</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Рогов, И.А., Жаринов, А.И., Воякин, М.П. (2008). Химия пищи. Принципы формирования качества мясопродуктов. Санкт-Петербург: Издательство РАПП, 2008.</mixed-citation><mixed-citation xml:lang="en">Rogov, I.A., Zharinov, A.I., Voyakin, M.P. (2008). Chemistry of food. Principles of formation of meat product quality. Saint-Petersburg: RAPP, 2008. (In Russian)</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Оганян, Н.Г., Добровольский, В.И., Семенова, А.А., Васильева, Т.В. (2023). Метрологические аспекты при оценке соответствия мясной продукции установленным требованиям. Контроль качества продукции, 3, 38–43.</mixed-citation><mixed-citation xml:lang="en">Oganyan, N.G., Dobrovolskiy, V.I., Semenova, A.A., Vasilyeva, T.V. (2023). Metrological aspects in conformity assessment of meat products with the established requirements. Production Quality Control, 3, 38–43. (In Russian)</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">Oganyan, N.G., Semenova, A.A., Dobrovolskiy, V.I. (September 14–16, 2021). Metrological aspects of the safety and quality of meat products. Journal of Physics: Conference Series, 2192, Article 012022. https://doi.org/10.1088/1742-6596/2192/1/012022</mixed-citation><mixed-citation xml:lang="en">Oganyan, N.G., Semenova, A.A., Dobrovolskiy, V.I. (September 14–16, 2021). Metrological aspects of the safety and quality of meat products. Journal of Physics: Conference Series, 2192, Article 012022. https://doi.org/10.1088/1742-6596/2192/1/012022</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
