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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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">avroen</journal-id><journal-title-group><journal-title xml:lang="ru">Омский научный вестник. Серия "Авиационно-ракетное и энергетическое машиностроение"</journal-title><trans-title-group xml:lang="en"><trans-title>Omsk Scientific Bulletin. Series Aviation-Rocket and Power Engineering</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2588-0373</issn><issn pub-type="epub">2587-764X</issn><publisher><publisher-name>Омский государственный технический университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.25206/2588-0373-2024-8-4-46-53</article-id><article-id custom-type="edn" pub-id-type="custom">OJRWPU</article-id><article-id custom-type="elpub" pub-id-type="custom">avroen-123</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>ЭНЕРГЕТИЧЕСКОЕ И ХИМИЧЕСКОЕ МАШИНОСТРОЕНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>POWER AND CHEMICAL ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Влияние режима работы центробежного насоса систем экстракорпоральной мембранной оксигенации на повреждение крови в нем</article-title><trans-title-group xml:lang="en"><trans-title>Influence of the extracorporeal membrane oxygenation system centrifugal pump operation mode on blood damage</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5954-2320</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Исаева</surname><given-names>М. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Isaeva</surname><given-names>M. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ИСАЕВА Мария Сергеевна, младший научный сотрудник </p><p>105005, г. Москва, ул. 2-я Бауманская, д. 5, стр. 1</p></bio><bio xml:lang="en"><p>ISAEVA Mariya Sergeyevna, Research Fellow of Scientific Research Institute EM 3.4</p><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8048-8170</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Петров</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Petrov</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ПЕТРОВ Алексей Игоревич, кандидат технических наук, доцент кафедры Э 10 «Гидромеханика, гидромашины и гидропневмоавтоматика» </p><p>105005, г. Москва, ул. 2-я Бауманская, д. 5, стр. 1</p></bio><bio xml:lang="en"><p>PETROV Aleksey Igorevich, Candidate of Technical Sciences, Associate Professor of E 10 Hydromechanics, Hydraulic Machines and Hydropneumatic Automation Department</p><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7006-2990</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Банин</surname><given-names>Е. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Banin</surname><given-names>Ye. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>БАНИН Евгений Петрович, кандидат технических наук, научный сотрудник лаборатории полимерных материалов Курчатовского комплекса НБИКС-технологий</p><p>123182, г. Москва, пл. Академика Курчатова, д. 1</p></bio><bio xml:lang="en"><p>BANIN Yevgeniy Petrovich, Candidate of Technical Sciences, Researcher of Polymer Materials Laboratory of the Kurchatov complex of NBICS Technologies</p><p>Moscow</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский государственный технический университет имени Н. Э. Баумана (национальный исследовательский университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Bauman Moscow State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Научно-исследовательский центр «Курчатовский институт»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research Center «Kurchatov Institute»</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>30</day><month>12</month><year>2024</year></pub-date><volume>8</volume><issue>4</issue><fpage>46</fpage><lpage>53</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Исаева М.С., Петров А.И., Банин Е.П., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Исаева М.С., Петров А.И., Банин Е.П.</copyright-holder><copyright-holder xml:lang="en">Isaeva M.S., Petrov A.I., Banin Y.P.</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://ariem.omgtu.ru/jour/article/view/123">https://ariem.omgtu.ru/jour/article/view/123</self-uri><abstract><p>Одной из ключевых задач при разработке насосов вспомогательного кровообращения является учет его взаимодействия с компонентами крови и их соответствующее повреждение. Традиционно в инженерной практике принято учитывать только один параметр повреждения (гемолиз или тромбоз). Однако невозможно однозначно утверждать, какой именно параметр, и при каких условиях будет наиболее опасным. Более того, в процессе эксплуатации систем вспомогательного кровообращения в зависимости от состояния пациента входящие в них насосы работают на разных режимах, что сказывается на значениях параметров повреждения крови. В рамках данного исследования проведено численное моделирование работы насоса на разных режимах (по расходу и частоте вращения ротора) и произведена оценка соответствующего изменения величин одновременно двух параметров повреждения крови: гемолиза и тромбоза. Установлено, что в зависимости от рассматриваемого параметра повреждения изменяются и наиболее опасные режимы работы: гемолиз продемонстрировал наибольшую зависимость от частоты вращения (ее увеличение в три раза привело к увеличению гемолиза в 120 раз), а тромбоз — от расхода (его уменьшение в девять раз привело к увеличению параметра тромбоза в шесть раз). Также отмечено, что вне зависимости от учитываемого параметра повреждения наибольший вклад в повреждение крови вносил отвод, однако баланс между вкладом элементов (рабочего колеса и отвода) перераспределялся в зависимости от рассматриваемого параметра повреждения. Полученные результаты продемонстрировали, что для создания безопасного насоса вспомогательного кровообращения в процессе его проектирования и оптимизации необходимо одновременно учитывать и гемолиз, и тромбоз, а также динамику эксплуатации системы. </p></abstract><trans-abstract xml:lang="en"><sec><title>One of the key tasks in the development of mechanical circulatory support pump is to take into account its interaction with blood components and their corresponding damage. Within the framework of this study, numerical modeling of the pump operation in different modes is carried out and an assessment of the corresponding change in the values of hemolysis and thrombosis is made. It is found that the most dangerous operating modes also change depending on the parameter under consideration: hemolysis demonstrated the greatest dependence on rotation rate, thrombosis — on flow rate. It is also noted that regardless of the damage parameter taken into account, the greatest contribution to blood damage is made by volute, but the balance between the contribution of the pump elements vary depending on the damage parameter under consideration. The obtained results demonstrate that in order to create a safe mechanical circulatory support pump, during its design and optimization process it is necessary to take into account both hemolysis and thrombosis, as well as the dynamics of system operation.</title></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>численное моделирование</kwd><kwd>центробежный насос</kwd><kwd>гемолиз</kwd><kwd>тромбоз</kwd><kwd>режим работы</kwd><kwd>касательное напряжение</kwd><kwd>кровь</kwd></kwd-group><kwd-group xml:lang="en"><kwd>CFD</kwd><kwd>centrifugal pump</kwd><kwd>hemolysis</kwd><kwd>thrombosis</kwd><kwd>operation mode</kwd><kwd>shear stress</kwd><kwd>blood</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование и подготовка публикации проведены при частичной финансовой поддержке Госзадания Научно-исследовательского центра  «Курчатовский институт» в части проведения ма- тематического моделирования и оценки гемолиза и тромбоза.</funding-statement><funding-statement xml:lang="en">The research was partially supported by National Research Center «Kurchatov Institute» in terms of assessment of hemolysis and thrombosis.</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">Nandakumar D., Bendavid A., Martin P. J. [et al.]. Fabrication of Semiordered Nanopatterned Diamond-like Carbon and Titania Films for Blood Contacting Applications // ACS Applied Materials &amp; Interfaces. 2016. Vol. 8 (11). P. 6802–6810. DOI: 10.1021/acsami.5b11614.</mixed-citation><mixed-citation xml:lang="en">Nandakumar D., Bendavid A., Martin P. J. [et al.]. Fabrication of Semiordered Nanopatterned Diamond-like Carbon and Titania Films for Blood Contacting Applications // ACS Applied Materials &amp; Interfaces. 2016. Vol. 8 (11). P. 6802–6810. DOI: 10.1021/acsami.5b11614. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Gorbet M. B., Sefton M. V. Biomaterial-associated thrombosis: roles of coagulation factors, complement, platelets and leukocytes // Biomaterials. 2004. Vol. 25 (26). P. 5681–5703. DOI: 10.1016/j.biomaterials.2004.01.023.</mixed-citation><mixed-citation xml:lang="en">Gorbet M. B., Sefton M. V. Biomaterial-associated thrombosis: roles of coagulation factors, complement, platelets and leukocytes // Biomaterials. 2004. Vol. 25 (26). P. 5681–5703. DOI: 10.1016/j.biomaterials.2004.01.023. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Gorbet M., Sperling C., Maitz M. F. [et al.]. The blood compatibility challenge. Part 3: Material associated activation of blood cascades and cells // Acta Biomater. 2019. Vol. 94 (1). P. 25–32. DOI: 10.1016/j.actbio.2019.06.020.</mixed-citation><mixed-citation xml:lang="en">Gorbet M., Sperling C., Maitz M. F. [et al.]. The blood compatibility challenge. Part 3: Material associated activation of blood cascades and cells // Acta Biomater. 2019. Vol. 94 (1). P. 25–32. DOI: 10.1016/j.actbio.2019.06.020. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Mei X., Lu B., Wu P., Zhang L. In vitro study of red blood cell and VWF damage in mechanical circulatory support devices based on blood-shearing platform // Proceedings of the Institution of Mechanical Engineers. Part H. Journal of Engineering in Medicine. 2022 Vol. 236 (6). P. 860–866. DOI: 10.1177/09544119221088420.</mixed-citation><mixed-citation xml:lang="en">Mei X., Lu B., Wu P., Zhang L. In vitro study of red blood cell and VWF damage in mechanical circulatory support devices based on blood-shearing platform // Proceedings of the Institution of Mechanical Engineers. Part H. Journal of Engineering in Medicine. 2022 Vol. 236 (6). P. 860–866. DOI: 10.1177/09544119221088420. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Nakahara T., Yoshida F. Mechanical effects on rates of hemolysis // J Biomed Mater Res. 1986. Vol. 20 (3). P. 363–374. DOI: 10.1002/jbm.820200308.</mixed-citation><mixed-citation xml:lang="en">Nakahara T., Yoshida F. Mechanical effects on rates of hemolysis // J Biomed Mater Res. 1986. Vol. 20 (3). P. 363–374. DOI: 10.1002/jbm.820200308. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Yen J. H., Chen S. F., Chern M. K., Lu P. C. The effect of turbulent viscous shear stress on red blood cell hemolysis // International Journal of Artificial Organs. 2014. Vol. 17 (2). P. 178–185. DOI: 10.1007/s10047-014-0755-3.</mixed-citation><mixed-citation xml:lang="en">Yen J. H., Chen S. F., Chern M. K., Lu P. C. The effect of turbulent viscous shear stress on red blood cell hemolysis // International Journal of Artificial Organs. 2014. Vol. 17 (2). P. 178–185. DOI: 10.1007/s10047-014-0755-3. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Chan C. H. H., Simmonds M. J., Fraser K. H. Discrete responses of erythrocytes, platelets, and von Willebrand factor to shear // Journal of Biomechanics. 2022. Vol. 130. 110898. DOI: 10.1016/j.jbiomech.2021.110898.</mixed-citation><mixed-citation xml:lang="en">Chan C. H. H., Simmonds M. J., Fraser K. H. Discrete responses of erythrocytes, platelets, and von Willebrand factor to shear // Journal of Biomechanics. 2022. Vol. 130. 110898. DOI: 10.1016/j.jbiomech.2021.110898. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Chen Z., Sun A., Wang H. Non-physiological shear stressinduced blood damage in ventricular assist device // Medicine in Novel Technology and Devices. 2019. Vol. 3. 100024. DOI: 10.1016/j.medntd.2019.100024.</mixed-citation><mixed-citation xml:lang="en">Chen Z., Sun A., Wang H. Non-physiological shear stress-induced blood damage in ventricular assist device // Medicine in Novel Technology and Devices. 2019. Vol. 3. 100024. DOI: 10.1016/j.medntd.2019.100024. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Köhne I. Haemolysis induced by mechanical circulatory support devices: unsolved problems // Perfusion. 2020. Vol. 35 (6). P. 474–483. DOI: 10.1177/0267659120931307.</mixed-citation><mixed-citation xml:lang="en">Köhne I. Haemolysis induced by mechanical circulatory support devices: unsolved problems // Perfusion. 2020. Vol. 35 (6). P. 474–483. DOI: 10.1177/0267659120931307. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Боярский Г. Г. Разработка метода проектирования микронасосов для систем поддержки кровообращения: дис. … канд. техн. наук. Москва, 2022. 125 с.</mixed-citation><mixed-citation xml:lang="en">Boyarsky G. G. Razrabotka metoda proyektirovaniya mikronasosov dlya sistem podderzhki krovoobrashcheniya [Development of a design method for micropumps for circulatory support systems]. Moscow, 2022. 125 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Stulak J. M., Sharma S., Maltais S. Management of pump thrombosis in patients with left ventricular assist devices // American Journal of Cardiovascular Drugs. 2015. Vol. 15 (2). P. 89–94. DOI: 10.1007/s40256-014-0102-3. PMID: 25567787.</mixed-citation><mixed-citation xml:lang="en">Stulak J. M., Sharma S., Maltais S. Management of pump thrombosis in patients with left ventricular assist devices // American Journal of Cardiovascular Drugs. 2015. Vol. 15 (2). P. 89–94. DOI: 10.1007/s40256-014-0102-3. PMID: 25567787. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Najean Y., Dresch C. Physiologie de l'hйmolyse // Revue du Praticien. 1965. Vol. 15 (23). P. 2989–2994.</mixed-citation><mixed-citation xml:lang="en">Najean Y., Dresch C. Physiologie de l'hémolyse [Physiology of hemolysis] // Revue du Praticien. 1965. Vol. 15 (23). P. 2989–2994. (In Fr.).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Левтов В. А., Регидер С. А., Шадрина Н. Х. Реология крови. Москва: Медицина, 1982. 269 с.</mixed-citation><mixed-citation xml:lang="en">Levtov V. A., Regider S. A., Shadrina N. Kh. Reologiya krovi [Blood rheology]. Moscow, 1982. 269 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Baldwin A. C. W. [et al.]. Nonidentical Continuous-Flow Devices for Biventricular Support // Texas Heart Institute Journal. 2017. № 2 (44). P. 141–143. DOI: 10.14503/THIJ-16-5878.</mixed-citation><mixed-citation xml:lang="en">Baldwin A. C. W. [et al.]. Nonidentical Continuous-Flow Devices for Biventricular Support // Texas Heart Institute Journal. 2017. No. 2 (44). P. 141–143. DOI: 10.14503/THIJ-16-5878. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Garon A., Farinas M. I. Fast three-dimensional numerical hemolysis approximation // Artificial Organs. 2004. Vol. 28 (11). P. 1016–1025. DOI: 10.1111/j.1525-1594.2004.00026.x.</mixed-citation><mixed-citation xml:lang="en">Garon A., Farinas M. I. Fast three-dimensional numerical hemolysis approximation // Artificial Organs. 2004. Vol. 28 (11). P. 1016–1025. DOI: 10.1111/j.1525-1594.2004.00026.x. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Mantegazza A., Tobin N., Manning K. B., Craven B. A. Examining the universality of the hemolysis power law model from simulations of the FDA nozzle using calibrated model coefficients // Biomech Model Mechanobiol. 2023. Vol. 22 (2). P. 433–451. DOI: 10.1007/s10237-022-01655-5.</mixed-citation><mixed-citation xml:lang="en">Mantegazza A., Tobin N., Manning K. B., Craven B. A. Examining the universality of the hemolysis power law model from simulations of the FDA nozzle using calibrated model coefficients // Biomech Model Mechanobiol. 2023. Vol. 22 (2). P. 433–451. DOI: 10.1007/s10237-022-01655-5. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Gu L., Smith W. Evaluation of computational models for hemolysis estimation // ASAIO Journal. 2005. Vol. 51 (3). P. 202– 207. DOI: 10.1097/01.MAT.0000161939.29905.93.</mixed-citation><mixed-citation xml:lang="en">Gu L., Smith W. Evaluation of computational models for hemolysis estimation // ASAIO Journal. 2005. Vol. 51 (3). P. 202– 207. DOI: 10.1097/01.MAT.0000161939.29905.93. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Giersiepen M., Wurzinger L. J., Opitz R., Reul H. Estimation of shear stress-related blood damage in heart valve prostheses--in vitro comparison of 25 aortic valves // International Journal of Artificial Organs. 1990. Vol. 13 (5). P. 300–306.</mixed-citation><mixed-citation xml:lang="en">Giersiepen M., Wurzinger L. J., Opitz R., Reul H. Estimation of shear stress-related blood damage in heart valve prostheses--in vitro comparison of 25 aortic valves // International Journal of Artificial Organs. 1990. Vol. 13 (5). P. 300–306. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Asakura H. [Pathophysiology and classification of thrombosis] // Nihon Rinsho. Japanese Journal of Clinical Medicine. 2014. Vol. 72 (7). P. 1184–1190.</mixed-citation><mixed-citation xml:lang="en">Asakura H. Pathophysiology and classification of thrombosis // Nihon Rinsho. Japanese Journal of Clinical Medicine. 2014. Vol. 72 (7). P. 1184–1190. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Taylor J. O., Meyer R. S., Deutsch S., Manning K. B. Development of a computational model for macroscopic predictions of device-induced thrombosis // Biomech Model Mechanobiol. 2016. Vol. 15 (6). P. 1713–1731. DOI: 10.1007/ s10237-016-0793-2.</mixed-citation><mixed-citation xml:lang="en">Taylor J. O., Meyer R. S., Deutsch S., Manning K. B. Development of a computational model for macroscopic predictions of device-induced thrombosis // Biomech Model Mechanobiol. 2016. Vol. 15 (6). P. 1713–1731. DOI: 10.1007/ s10237-016-0793-2. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Wenyu J., Huanbao L., Ping N. [et al.]. Design and preparation of an artificial vascular scaffold with internal surface modification // Artificial Organs. 2024. Vol. 48. DOI: 10.1111/ aor.14707.</mixed-citation><mixed-citation xml:lang="en">Wenyu J., Huanbao L., Ping N. [et al.]. Design and preparation of an artificial vascular scaffold with internal surface modification // Artificial Organs. 2024. Vol. 48. DOI: 10.1111/ aor.14707. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Dai W. F., Wu P., Liu G. M. A two-phase flow approach for modeling blood stasis and estimating the thrombosis potential of a ventricular assist device // International Journal of Artificial Organs. 2021. Vol. 44 (7). P. 471–480. DOI: 10.1177/0391398820975405.</mixed-citation><mixed-citation xml:lang="en">Dai W. F., Wu P., Liu G. M. A two-phase flow approach for modeling blood stasis and estimating the thrombosis potential of a ventricular assist device // International Journal of Artificial Organs. 2021. Vol. 44 (7). P. 471–480. DOI: 10.1177/0391398820975405. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Boyd J., Buick J. M., Green S. Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method // Physics of Fluids (1994-present). 2007. Vol. 19, № 9. P. 093103. DOI: 10.1063/1.2772250.</mixed-citation><mixed-citation xml:lang="en">Boyd J., Buick J. M., Green S. Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method // Physics of Fluids (1994-present). 2007. Vol. 19, no. 9. P. 093103. DOI: 10.1063/1.2772250. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Bird R. B., Armstrong R. C., Hassager O. Dynamics of polymeric liquids. In 2 vols. Vol. 1. Fluid mechanics. 2nd ed. United States, 1987. 672 p.</mixed-citation><mixed-citation xml:lang="en">Bird R. B., Armstrong R. C., Hassager O. Dynamics of polymeric liquids. In 2 vols. Vol. 1. Fluid mechanics. 2nd ed. United States, 1987. 672 p. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Bludszuweit C. Model for a general mechanical blood damage prediction // Artificial Organs. 1995. Vol. 19 (7). P. 583589. DOI: 10.1111/j.1525-1594.1995.tb02385.x.</mixed-citation><mixed-citation xml:lang="en">Bludszuweit C. Model for a general mechanical blood damage prediction // Artificial Organs. 1995. Vol. 19 (7). P. 583– 589. DOI: 10.1111/j.1525-1594.1995.tb02385.x. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Blum C., Gross-Hardt S., Steinseifer U., Neidlin M. An Accelerated Thrombosis Model for Computational Fluid Dynamics Simulations in Rotary Blood Pumps // Cardiovascular Engineering and Technology. 2022. Vol. 13. DOI: 10.1007/s13239-021-00606-y.</mixed-citation><mixed-citation xml:lang="en">Blum C., Gross-Hardt S., Steinseifer U., Neidlin M. An Accelerated Thrombosis Model for Computational Fluid Dynamics Simulations in Rotary Blood Pumps // Cardiovascular Engineering and Technology. 2022. Vol. 13. DOI: 10.1007/s13239021-00606-y. (In Engl.).</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>
