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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">RUDN Journal of Engineering Research</journal-id><journal-title-group><journal-title xml:lang="en">RUDN Journal of Engineering Research</journal-title><trans-title-group xml:lang="ru"><trans-title>Вестник Российского университета дружбы народов. Серия: Инженерные исследования</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2312-8143</issn><issn publication-format="electronic">2312-8151</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">43093</article-id><article-id pub-id-type="doi">10.22363/2312-8143-2024-25-4-405-412</article-id><article-id pub-id-type="edn">ADVUUU</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Investigation of a mathematical model of a bio-artificial liver using a PID-controller</article-title><trans-title-group xml:lang="ru"><trans-title>Исследование математической модели биоискусственной печени с использованием ПИД-регулятора</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3582-4889</contrib-id><name-alternatives><name xml:lang="en"><surname>Ganshin</surname><given-names>Alexey S.</given-names></name><name xml:lang="ru"><surname>Ганьшин</surname><given-names>Алексей Сергеевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Postgraduate student of the Department of Mechanics and Control Processes, Academy of Engineering</p></bio><bio xml:lang="ru"><p>аспирант кафедры механики и процессов управления, инженерная академия</p></bio><email>1042210064@pfur.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0359-0897</contrib-id><contrib-id contrib-id-type="spin">8247-7310</contrib-id><name-alternatives><name xml:lang="en"><surname>Andrikov</surname><given-names>Denis A.</given-names></name><name xml:lang="ru"><surname>Андриков</surname><given-names>Денис Анатольевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Mechanics and Control Processes, Academy of Engineering</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент департамента механики и процессов управления, инженерная академия</p></bio><email>andrikovdenis@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">RUDN University</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2024</year></pub-date><volume>25</volume><issue>4</issue><issue-title xml:lang="en">VOL 25, NO4 (2024)</issue-title><issue-title xml:lang="ru">ТОМ 25, №4 (2024)</issue-title><fpage>405</fpage><lpage>412</lpage><history><date date-type="received" iso-8601-date="2025-03-02"><day>02</day><month>03</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Ganshin A.S., Andrikov D.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Ганьшин А.С., Андриков Д.А.</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Ganshin A.S., Andrikov D.A.</copyright-holder><copyright-holder xml:lang="ru">Ганьшин А.С., Андриков Д.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0/legalcode</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/engineering-researches/article/view/43093">https://journals.rudn.ru/engineering-researches/article/view/43093</self-uri><abstract xml:lang="en"><p>The objective of this study is to develop and analyze a mathematical model of a bio-artificial liver using proportional-integral-differential a controller for managing key processes. The bio-artificial liver is a complex system that performs the fundamental functions of the liver, which is of critical importance for the development of alternative treatments for patients with liver failure. The paper describes the structure and functionality of the bio-artificial liver model, based on a review of the anatomy of the human liver, as well as on the study of bio-technological aspects of the creation of artificial organs. The application of a PID-controller is considered, which allows precise and adaptive control of processes within the model, such as the supply of nutrients and the removal of toxins. The research methodology covers the creation of a mathematical model, its computer modeling and analysis of the data obtained. The experimental part of the work is to identify the optimal parameters of the PID-controller for various operating conditions of the bio-artificial liver. The results of this study can contribute to improving the effectiveness of bio-artificial systems for supporting liver functions and offer new approaches to the implementation of artificial organs, which has significant potential for the field of transplantation and treatment of liver diseases.</p></abstract><trans-abstract xml:lang="ru"><p>Цель данного исследования - разработка и анализ математической модели биоискусственной печени с использованием пропорционально-интегрально-дифференциального регулятора для управления ключевыми процессами. Биоискусственная печень представляет собой сложную систему, задача которой заключается в выполнении основных функций печени, что критически важно для развития альтернативных методов лечения пациентов с печеночной недостаточностью. В работе описано строение и функциональность модели биоискусственной печени, основываясь на обзоре анатомии человеческой печени, а также на изучении биотехнологических аспектов создания искусственных органов. Рассматривается применение ПИД-регулятора, который позволяет точно и адаптивно контролировать процессы внутри модели, такие как подача питательных веществ и удаление токсинов. Методология исследования охватывает создание математической модели, ее компьютерное моделирование и анализ полученных данных. Экспериментальная часть работы заключается в выявлении оптимальных параметров ПИД-регулятора для различных условий эксплуатации биоискусственной печени. Результаты данного исследования могут способствовать повышению эффективности биоискусственных систем поддержки печеночных функций, с их помощью возможно появление и новых подходов к использованию искусственных органов, что обладает значительным потенциалом для сферы трансплантологии и лечения заболеваний печени.</p></trans-abstract><kwd-group xml:lang="en"><kwd>proportional-integral-differential controller</kwd><kwd>modeling</kwd><kwd>glucose</kwd><kwd>bio-artificial liver support</kwd><kwd>differential equations</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>пропорционально-интегрально-дифференциальный регулятор</kwd><kwd>моделирование</kwd><kwd>глюкоза</kwd><kwd>биоискусственная поддержка печени</kwd><kwd>дифференциальные уравнения</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Pereira DS, Pinto JOP. Genetic algorithm based system identification and PID tuning for optimum adaptive control. 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