<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">atu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Алматинского технологического университета</journal-title><trans-title-group xml:lang="en"><trans-title>The Journal of Almaty Technological University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2304-568X</issn><issn pub-type="epub">2710-0839</issn><publisher><publisher-name>АО "АТУ"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.48184/2304-568X-2026-2-31-41</article-id><article-id custom-type="elpub" pub-id-type="custom">atu-2953</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>ТЕХНОЛОГИЯ ПИЩЕВОЙ И ПЕРЕРАБАТЫВАЮЩЕЙ ПРОМЫШЛЕННОСТИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>FOOD AND PROCESSING INDUSTRY TECHNOLOGY</subject></subj-group></article-categories><title-group><article-title>Моделирование и оптимизация рецептур функционального хлеба: комплексный обзор</article-title><trans-title-group xml:lang="en"><trans-title>Modeling and optimization of functional bread formulations: a comprehensive review</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0007-4042-5184</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нурманова</surname><given-names>А. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Nurmanova</surname><given-names>A. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>050012, Алматы, пр.Аль-Фараби, 93г/5</p></bio><bio xml:lang="en"><p>050012, Almaty, Al-Farabi avenue, 93G/5</p></bio><email xlink:type="simple">nurmanovaakzharkyn@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6481-7410</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кизатова</surname><given-names>М. Ж.</given-names></name><name name-style="western" xml:lang="en"><surname>Kizatova</surname><given-names>M. Zh.</given-names></name></name-alternatives><bio xml:lang="ru"><p>050012, Алматы, ул.Төле би 94</p></bio><bio xml:lang="en"><p>050012, Almaty, Tole bi str., 94</p></bio><email xlink:type="simple">kizatova@mail.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/0000-0001-8961-8955</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шаймерденова</surname><given-names>Д. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Shaimerdenova</surname><given-names>D. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>010000, Астана, ул.Каратал 2</p></bio><bio xml:lang="en"><p>010000, Astana, Karatal Street, 2</p></bio><email xlink:type="simple">darigash@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1987-8417</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Абуова</surname><given-names>А. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Abuova</surname><given-names>A. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>050012, Алматы, пр.Аль-Фараби, 93г/5</p></bio><bio xml:lang="en"><p>050012, Almaty, Al-Farabi avenue, 93G/5</p></bio><email xlink:type="simple">ab.abuova@metu.kz</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Международный инженерно-технологический университет<country>Казахстан</country></aff><aff xml:lang="en">International Engineering Technological University<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">НАО Казахский национальный медицинский университет им. С.Д. Асфендиярова<country>Казахстан</country></aff><aff xml:lang="en">Asfendiyarov Kazakh National Medical University<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru">ТОО «НПП «Инноватор»<country>Казахстан</country></aff><aff xml:lang="en">LLP “Innovator” Research and Production Enterprise<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>19</day><month>06</month><year>2026</year></pub-date><volume>152</volume><issue>2</issue><fpage>31</fpage><lpage>41</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Нурманова А.Д., Кизатова М.Ж., Шаймерденова Д.А., Абуова А.Б., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Нурманова А.Д., Кизатова М.Ж., Шаймерденова Д.А., Абуова А.Б.</copyright-holder><copyright-holder xml:lang="en">Nurmanova A.D., Kizatova M.Z., Shaimerdenova D.A., Abuova A.B.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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://atu.ejournal.kz/jour/article/view/2953">https://atu.ejournal.kz/jour/article/view/2953</self-uri><abstract><p>В условиях возрастающего интереса к здоровому питанию и функциональным продуктам питания хлебные изделия рассматриваются как перспективный объект для целенаправленного формирования функциональных свойств. Современное развитие пищевых технологий требует перехода от эмпирического подбора рецептур к научно обоснованным методам моделирования и оптимизации состава хлебных изделий. Целью данной обзорной статьи является систематизация и анализ современных подходов к моделированию и оптимизации рецептур функционального хлеба с заданными технологическими, пищевыми и потребительскими свойствами. В работе рассмотрены основные направления исследований, связанные с использованием функциональных ингредиентов, математических, вычислительных и data-driven методов моделирования рецептур. Научная значимость исследования заключается в комплексном обобщении современных методов моделирования рецептур функционального хлеба и выявлении их преимуществ и ограничений. Практическая значимость обусловлена возможностью применения рассмотренных подходов при разработке новых хлебных изделий с прогнозируемыми свойствами и стабильным качеством. Методология исследования основана на анализе и обобщении научных публикаций, индексируемых в международных базах данных, с использованием методов системного анализа, сравнительного анализа и классификации. В результате проведённого обзора выявлены ключевые тенденции развития моделирования рецептур функционального хлеба, показана эффективность методов математической оптимизации и компьютерного моделирования при формировании заданных функциональных свойств. Сделан вывод о перспективности интеграции цифровых и интеллектуальных технологий в процессы разработки хлебных изделий. Ценность исследования заключается в формировании научной базы для дальнейших исследований в области моделирования функциональных хлебных изделий. Практическое значение результатов состоит в возможности их использования в научных исследованиях, образовательном процессе и хлебопекарной промышленности.</p></abstract><trans-abstract xml:lang="en"><p>In the context of the growing interest in healthy nutrition and functional food products, bakery products are considered a promising object for the targeted formation of functional properties. The modern development of food technologies necessitates a transition from empirical recipe selection to scientifically grounded methods for modeling and optimizing the composition of bakery products. The aim of this review article is to systematize and analyze contemporary approaches to the modeling and optimization of functional bread formulations with predefined technological, nutritional, and consumer properties. The paper examines the main research directions related to the use of functional ingredients, as well as mathematical, computational, and data-driven methods for formulation modeling. The scientific significance of the study lies in the comprehensive generalization of modern methods for modeling functional bread formulations and in identifying their advantages and limitations. The practical significance is determined by the potential application of the reviewed approaches in the development of new bakery products with predictable properties and stable quality. The research methodology is based on the analysis and synthesis of scientific publications indexed in international databases, employing methods of system analysis, comparative analysis, and classification. As a result of the conducted review, key trends in the development of functional bread formulation modeling were identified, and the effectiveness of mathematical optimization and computer modeling methods in shaping targeted functional properties was demonstrated. A conclusion was drawn regarding the перспективность of integrating digital and intelligent technologies into bakery product development processes. The value of the study lies in establishing a scientific foundation for further research in the field of functional bakery product modeling. The practical relevance of the results consists in their applicability in scientific research, educational activities, and the baking industry.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>функциональный хлеб</kwd><kwd>моделирование рецептур</kwd><kwd>оптимизация</kwd><kwd>функциональные ингредиенты</kwd><kwd>хлебные изделия</kwd><kwd>пищевая ценность</kwd></kwd-group><kwd-group xml:lang="en"><kwd>functional bread</kwd><kwd>formulation modeling</kwd><kwd>optimization</kwd><kwd>functional ingredients</kwd><kwd>bakery products</kwd><kwd>nutritional value</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Siro, I., E. Kapolna, B. Kapolna, and A. Lugasi. 2008. “Functional Food: Product Development, Marketing and Consumer Acceptance.” Appetite 51 (3): 456–467.</mixed-citation><mixed-citation xml:lang="en">Siro, I., E. Kapolna, B. Kapolna, and A. Lugasi. 2008. “Functional Food: Product Development, Marketing and Consumer Acceptance.” Appetite 51 (3): 456–467.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Jones, P. J., and S. Jew. 2007. “Functional Food Development: Concept to Reality.” Trends in Food Science &amp; Technology 18 (7): 387–390.</mixed-citation><mixed-citation xml:lang="en">Jones, P. J., and S. Jew. 2007. “Functional Food Development: Concept to Reality.” Trends in Food Science &amp; Technology 18 (7): 387–390.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Bigliardi, B., and F. Galati. 2013. “Innovation Trends in the Food Industry: The Case of Functional Foods.” Trends in Food Science &amp; Technology 31 (2): 118–129.</mixed-citation><mixed-citation xml:lang="en">Bigliardi, B., and F. Galati. 2013. “Innovation Trends in the Food Industry: The Case of Functional Foods.” Trends in Food Science &amp; Technology 31 (2): 118–129.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Purlis, E. 2019. “Baking Process Design Based on Modelling and Simulation: Toward Optimization of Bread Quality.” Food Control 100: 45–52.</mixed-citation><mixed-citation xml:lang="en">Purlis, E. 2019. “Baking Process Design Based on Modelling and Simulation: Toward Optimization of Bread Quality.” Food Control 100: 45–52.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Singh, R. P., and D. R. Heldman. 2014. Introduction to Food Engineering. Academic Press, 37–48.</mixed-citation><mixed-citation xml:lang="en">Singh, R. P., and D. R. Heldman. 2014. Introduction to Food Engineering. Academic Press, 37–48.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Aguilera, J. M. 2018. “Relating Food Engineering to Cooking and Gastronomy: Modeling, Simulation, and Visualization.” Annual Review of Food Science and Technology 9: 191–210.</mixed-citation><mixed-citation xml:lang="en">Aguilera, J. M. 2018. “Relating Food Engineering to Cooking and Gastronomy: Modeling, Simulation, and Visualization.” Annual Review of Food Science and Technology 9: 191–210.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Siro, I., E. Kapolna, B. Kapolna, and A. Lugasi. 2008. “Functional Food: Product Development, Marketing and Consumer Acceptance.” Appetite 51 (3): 456–467.</mixed-citation><mixed-citation xml:lang="en">Siro, I., E. Kapolna, B. Kapolna, and A. Lugasi. 2008. “Functional Food: Product Development, Marketing and Consumer Acceptance.” Appetite 51 (3): 456–467.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Miranda, J., et al. 2016. “Nutritional Enhancement of Bread with Functional Ingredients: A Review.” Food Research International 80: 1–17.</mixed-citation><mixed-citation xml:lang="en">Miranda, J., et al. 2016. “Nutritional Enhancement of Bread with Functional Ingredients: A Review.” Food Research International 80: 1–17.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Dziki, D., R. Różyło, U. Gawlik-Dziki, and M. Świeca. 2014. “Current Trends in the Enhancement of Antioxidant Activity of Wheat Bread.” Journal of Food Science and Technology 51: 423–434.</mixed-citation><mixed-citation xml:lang="en">Dziki, D., R. Różyło, U. Gawlik-Dziki, and M. Świeca. 2014. “Current Trends in the Enhancement of Antioxidant Activity of Wheat Bread.” Journal of Food Science and Technology 51: 423–434.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Van Boekel, M. A. J. S. 2008. “Kinetic Modeling of Food Quality: A Critical Review.” Comprehensive Reviews in Food Science and Food Safety 7 (2): 144–158.</mixed-citation><mixed-citation xml:lang="en">Van Boekel, M. A. J. S. 2008. “Kinetic Modeling of Food Quality: A Critical Review.” Comprehensive Reviews in Food Science and Food Safety 7 (2): 144–158.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Singh, R. P., and D. R. Heldman. 2014. Introduction to Food Engineering. Academic Press.</mixed-citation><mixed-citation xml:lang="en">Singh, R. P., and D. R. Heldman. 2014. Introduction to Food Engineering. Academic Press.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Baş, D., and İ. H. Boyacı. 2007. “Modeling and Optimization I: Usability of Response Surface Methodology.” Journal of Food Engineering 78 (3): 836–845.</mixed-citation><mixed-citation xml:lang="en">Baş, D., and İ. H. Boyacı. 2007. “Modeling and Optimization I: Usability of Response Surface Methodology.” Journal of Food Engineering 78 (3): 836–845.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Purlis, E. 2019. “Baking Process Design Based on Modelling and Simulation: Toward Optimization of Bread Quality.” Food Control 100: 45–52.</mixed-citation><mixed-citation xml:lang="en">Purlis, E. 2019. “Baking Process Design Based on Modelling and Simulation: Toward Optimization of Bread Quality.” Food Control 100: 45–52.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Bevilacqua, M., et al. 2020. “Artificial Intelligence Applications in Food Process Modeling.” Journal of Food Engineering 287: 110126.</mixed-citation><mixed-citation xml:lang="en">Bevilacqua, M., et al. 2020. “Artificial Intelligence Applications in Food Process Modeling.” Journal of Food Engineering 287: 110126.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Zhu, F. 2021. “Applications of Machine Learning in Food Science and Technology.” Food Chemistry 342: 128199.</mixed-citation><mixed-citation xml:lang="en">Zhu, F. 2021. “Applications of Machine Learning in Food Science and Technology.” Food Chemistry 342: 128199.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Miranda, J., et al. 2016. “Nutritional Enhancement of Bread with Functional Ingredients: A Review.” Food Research International 80: 1–17.</mixed-citation><mixed-citation xml:lang="en">Miranda, J., et al. 2016. “Nutritional Enhancement of Bread with Functional Ingredients: A Review.” Food Research International 80: 1–17.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Balestra, F., and E. Cocci. 2020. “Functional Bakery Products: Trends and Challenges.” Journal of Cereal Science 93.</mixed-citation><mixed-citation xml:lang="en">Balestra, F., and E. Cocci. 2020. “Functional Bakery Products: Trends and Challenges.” Journal of Cereal Science 93.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Dziki, D., R. Różyło, U. Gawlik-Dziki, and M. Świeca. 2014. “Current Trends in the Enhancement of Antioxidant Activity of Wheat Bread.” Journal of Food Science and Technology 51: 423–434.</mixed-citation><mixed-citation xml:lang="en">Dziki, D., R. Różyło, U. Gawlik-Dziki, and M. Świeca. 2014. “Current Trends in the Enhancement of Antioxidant Activity of Wheat Bread.” Journal of Food Science and Technology 51: 423–434.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Tranfield, D., D. Denyer, and P. Smart. 2003. “Towards a Methodology for Developing Evidence-Informed Management Knowledge by Means of Systematic Review.” British Journal of Management 14 (3): 207–222.</mixed-citation><mixed-citation xml:lang="en">Tranfield, D., D. Denyer, and P. Smart. 2003. “Towards a Methodology for Developing Evidence-Informed Management Knowledge by Means of Systematic Review.” British Journal of Management 14 (3): 207–222.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">ISO. 2009. ISO 712: Cereals and Cereal Products — Determination of Moisture Content. Geneva: International Organization for Standardization.</mixed-citation><mixed-citation xml:lang="en">ISO. 2009. ISO 712: Cereals and Cereal Products — Determination of Moisture Content. Geneva: International Organization for Standardization.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">ISO. 2019. ISO 7305: Milled Cereal Products — Determination of Acidity. Geneva: International Organization for Standardization.</mixed-citation><mixed-citation xml:lang="en">ISO. 2019. ISO 7305: Milled Cereal Products — Determination of Acidity. Geneva: International Organization for Standardization.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">AACC International. 2010–2019. Approved Methods of Analysis. 11th ed. Methods 10-05.01; 74-09.01. St. Paul, MN.</mixed-citation><mixed-citation xml:lang="en">AACC International. 2010–2019. Approved Methods of Analysis. 11th ed. Methods 10-05.01; 74-09.01. St. Paul, MN.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">AOAC International. 2016. Official Methods of Analysis. 20th ed. Method 985.29. Gaithersburg, MD.</mixed-citation><mixed-citation xml:lang="en">AOAC International. 2016. Official Methods of Analysis. 20th ed. Method 985.29. Gaithersburg, MD.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Baş, D., and İ. H. Boyacı. 2007. “Modeling and Optimization I: Usability of Response Surface Methodology.” Journal of Food Engineering 78: 836–845.</mixed-citation><mixed-citation xml:lang="en">Baş, D., and İ. H. Boyacı. 2007. “Modeling and Optimization I: Usability of Response Surface Methodology.” Journal of Food Engineering 78: 836–845.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Ali, Zainab N., Iman Askerzade, and Saddam Abdulwahab. 2021. “Estimation Model for Bread Quality Proficiency Using Fuzzy Weighted Relevance Vector Machine Classifier.” Applied Bionics and Biomechanics 2021 (February 26): 6670316.</mixed-citation><mixed-citation xml:lang="en">Ali, Zainab N., Iman Askerzade, and Saddam Abdulwahab. 2021. “Estimation Model for Bread Quality Proficiency Using Fuzzy Weighted Relevance Vector Machine Classifier.” Applied Bionics and Biomechanics 2021 (February 26): 6670316.</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>
