<?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">vtio</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник трансплантологии и искусственных органов</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Journal of Transplantology and Artificial Organs</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1995-1191</issn><publisher><publisher-name>Academician V.I.Shumakov National Medical Research Center of Transplantology and Artificial Organs", Ministry of Health of the Russian Federation</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.15825/1995-1191-2013-3-59-65</article-id><article-id custom-type="elpub" pub-id-type="custom">vtio-431</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>Имплантаты и искусственные органы</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Implants and Artificial Organs</subject></subj-group></article-categories><title-group><article-title>ПРИНЦИПЫ ПОСТРОЕНИЯ МАТЕМАТИЧЕСКОЙ МОДЕЛИ ДЛЯ ИССЛЕДОВАНИЯ ВЗАИМОДЕЙСТВИЯ НАСОСОВ НЕПРЕРЫВНОГО ПОТОКА И СЕРДЕЧНО-СОСУДИСТОЙ СИСТЕМЫ</article-title><trans-title-group xml:lang="en"><trans-title>PRINCIPLES OF DEVELOPMENT MATHEMATICAL MODEL FOR RESEARCHING OF NONPULSATILE FLOW PUMP AND CARDIAC SYSTEM</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Быков</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Bykov</surname><given-names>I. V.</given-names></name></name-alternatives><email xlink:type="simple">bykov-iv@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Иткин</surname><given-names>Г. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Itkin</surname><given-names>G. P.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ФГБУ «ФНЦ трансплантологии и искусственных органов им. В.И. Шумакова» Минздрава РФ (директор – академик РАМН, проф. С.В. Готье), лаборатория биотехнических систем&#13;
(зав. – проф. Г.П. Иткин), Москва, Российская Федерация</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Laboratory of biotechnical systems (Head – prof. G.P. Itkin), Academician V.I. Schumakov federal research center of transplantology and artificial organs (Head – academician of RAMSci,&#13;
prof. S.V. Gautier), Moscow, Russian Federation</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>24</day><month>06</month><year>2014</year></pub-date><volume>15</volume><issue>3</issue><issue-title>ВЕСТНИК ТРАНСПЛАНТОЛОГИИ И ИСКУССТВЕННЫХ ОРГАНОВ том XV No 3–2013</issue-title><fpage>59</fpage><lpage>65</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Быков И.В., Иткин Г.П., 2013</copyright-statement><copyright-year>2013</copyright-year><copyright-holder xml:lang="ru">Быков И.В., Иткин Г.П.</copyright-holder><copyright-holder xml:lang="en">Bykov I.V., Itkin G.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://journal.transpl.ru/vtio/article/view/431">https://journal.transpl.ru/vtio/article/view/431</self-uri><abstract><p>Цель. Данное исследование посвящено применению методов математического моделирования для ана- лиза взаимодействия сердечно-сосудистой системы и осевого вспомогательного насоса в условиях сер- дечной недостаточности при сочетанной клапанной патологии на этапах подключения насоса. Получение исходных данных для синтеза алгоритма автоматического управления насосом. Материалы и методы. Математическая модель для исследования взаимодействия сердечно-сосудистой системы построена с ис- пользованием параметров, полученных в экспериментах на гидродинамическом стенде, эмулирующим гемодинамику в организме, а также математических законов, описывающих динамику Ньютоновской жидкости в замкнутом пульсирующем контуре. Реализация модели выполнена в среде моделирования SimuLink (Matlab). Результаты. Реализована математическая модель, описывающая взаимодействие сер- дечно-сосудистой системы с устройством левожелудочкового обхода в условиях нормы. Данные условий нормы получены в экспериментах на животных с применением имплантируемого осевого насоса, прово- димых в ФНЦТИО. Верификация модели основывалась на соответствии значений мгновенного расхода крови насоса, полученных в экспериментах и на модели. Заключение. Построена математическая модель взаимодействия сердечно-сосудистой системы и осевого насоса, подключенного по схеме «левый желу- дочек – аорта» в условиях нормы. На следующем этапе планируется использование данной модели для оценки данной биотехнической системы в условиях сердечной недостаточности и клапанной патологии. </p></abstract><trans-abstract xml:lang="en"><p>Aim. The presented research uncovers the using of mathematical modeling methods for cardio-vascular system and axial blood pump interaction analysis under heart failure with combined valve pathology. The research will pro- vide data for automated pump control algorithm synthesis. Materials and methods. Mathematical model is build up by using experiments results from mock cardio-vascular circulation loop and mathematical representation of Newtonian fluid dynamics in pulsing circulation loop. The model implemented in modeling environment Simulink (Matlab). Results. Authors implemented mathematical model which describe cardio-vascular system and left-ven- tricular assistive device interaction for intact conditions. Values of parameters for intact conditions were acquired in the experiments on animals with implanted axial pump, experiments were conducted in FRCTAO. The model was verified by comparison of instantaneous blood flowrate values in experiments and in model. Conclusion. The paper present implemented mathematical model of cardio-vascular system and axial pump interaction for intact conditions, where the pump connected between left ventricle and aorta. In the next part of research authors will use the presented model to evaluate using the biotechnical system in conditions of heart failure and valve pathology. </p></trans-abstract><kwd-group xml:lang="ru"><kwd>устройство левожелудочкового обхода</kwd><kwd>насос непрерывного потока</kwd><kwd>математическая модель</kwd><kwd>хроническая сердечная недостаточность</kwd><kwd>двухэтапная пересадка сердца.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>LVAD</kwd><kwd>nonpulsatile fl ow pump</kwd><kwd>mathematical model</kwd><kwd>congestive heart failure</kwd><kwd>two-staged heart transplantation.</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">World health statistics / World Health Organisation. 2012.</mixed-citation><mixed-citation xml:lang="en">World health statistics / World Health Organisation. 2012.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Kakorina E.P., Mihailova L.A., Ogryzko E.V., Kantee- va A.N., Kadulina N.A. Morbility in Russia in 2011 year / Ministry of c Health, Russia (in rus).</mixed-citation><mixed-citation xml:lang="en">Kakorina E.P., Mihailova L.A., Ogryzko E.V., Kantee- va A.N., Kadulina N.A. Morbility in Russia in 2011 year / Ministry of c Health, Russia (in rus).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Shalnova S.A., Konradi A.O., Karpov U.A. Konceva- ya A.V., Deev A.D., Kapustina A.V., Hudyakov M.B., Shlyahto E.V., Boycov S.A. Cardiovascular mortality in 12 Russian Federation regions – participants of the «Car- diovascular Disease Epidemiology in Russian Regions» study. Russian cardiologic magazine. 2012; 5 (97): 6–11 (in rus).</mixed-citation><mixed-citation xml:lang="en">Shalnova S.A., Konradi A.O., Karpov U.A. Konceva- ya A.V., Deev A.D., Kapustina A.V., Hudyakov M.B., Shlyahto E.V., Boycov S.A. Cardiovascular mortality in 12 Russian Federation regions – participants of the «Car- diovascular Disease Epidemiology in Russian Regions» study. Russian cardiologic magazine. 2012; 5 (97): 6–11 (in rus).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Itkin G.P., Shohina E.G., Shemakin S.U., Popcov V.N., Goti- er S.V. Feature of Long-Term Mechanical Circulatory Sup- port with Continous-Flow Pump. Vestnik of transplantology and artificial organs. 2012; 2: 110–116 (in rus).</mixed-citation><mixed-citation xml:lang="en">Itkin G.P., Shohina E.G., Shemakin S.U., Popcov V.N., Goti- er S.V. Feature of Long-Term Mechanical Circulatory Sup- port with Continous-Flow Pump. Vestnik of transplantology and artificial organs. 2012; 2: 110–116 (in rus).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Shumakov V.I., Itkin G.P., Romanov O.V., Vashur- kin D.V., Konysheva E.G., Nesterov V.A., Kulikov N.I., Kuzmin S.P., Dozorov K.N. Contemporary issues of me- chanical circulatory support. Mechatronics, automation, control. 2007; 8: 34–40 (in rus).</mixed-citation><mixed-citation xml:lang="en">Shumakov V.I., Itkin G.P., Romanov O.V., Vashur- kin D.V., Konysheva E.G., Nesterov V.A., Kulikov N.I., Kuzmin S.P., Dozorov K.N. Contemporary issues of me- chanical circulatory support. Mechatronics, automation, control. 2007; 8: 34–40 (in rus).</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Shumakov V.I., Tolpekin V.E. Shumakov D.V. Artificial heart and mechanical circulatory support. Moscow, Yan- us-K, 2003: 376 (in rus).</mixed-citation><mixed-citation xml:lang="en">Shumakov V.I., Tolpekin V.E. Shumakov D.V. Artificial heart and mechanical circulatory support. Moscow, Yan- us-K, 2003: 376 (in rus).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">James K. Kirklin, MD, a David C. Naftel, PhD, a Ro- bert L. Kormos. Fifth INTERMACS annual report: Risk factor analysis from more than 6,000 mechanical circu- latory support patientsс. The Journal of Heart and Lung Transplantation. 2013: 141–156.</mixed-citation><mixed-citation xml:lang="en">James K. Kirklin, MD, a David C. Naftel, PhD, a Ro- bert L. Kormos. Fifth INTERMACS annual report: Risk factor analysis from more than 6,000 mechanical circu- latory support patientsс. The Journal of Heart and Lung Transplantation. 2013: 141–156.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Grigoryan R.D. Mathematiacal model of human cardi- ovascular system. Biological, medical cybernetics bio- nics. Kiev, 1984; 2: 34–38 (in rus).</mixed-citation><mixed-citation xml:lang="en">Grigoryan R.D. Mathematiacal model of human cardi- ovascular system. Biological, medical cybernetics bio- nics. Kiev, 1984; 2: 34–38 (in rus).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Parashin V.B., Itkin G.P. Biomechanics of circulatory system. Study guide. Bauman Moscow State Technical University, 2005: 223 (in rus).</mixed-citation><mixed-citation xml:lang="en">Parashin V.B., Itkin G.P. Biomechanics of circulatory system. Study guide. Bauman Moscow State Technical University, 2005: 223 (in rus).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Surkov D.A. Development of models, methods, algo- rithms, software and hardware system for provision a mechanical circulatory support system. Dissertation 05.13.01, 14.00.41. М., 2006: 149.</mixed-citation><mixed-citation xml:lang="en">Surkov D.A. Development of models, methods, algo- rithms, software and hardware system for provision a mechanical circulatory support system. Dissertation 05.13.01, 14.00.41. М., 2006: 149.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Defares J.G., Osborn J.J., Hara U.U. Theoretical syn- thesis of the cardiovasc. system. Acta Physiol. Pharma- col. 1963; 12 (3): 189–265.</mixed-citation><mixed-citation xml:lang="en">Defares J.G., Osborn J.J., Hara U.U. Theoretical syn- thesis of the cardiovasc. system. Acta Physiol. Pharma- col. 1963; 12 (3): 189–265.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Erika D. Feller, Erik N. Sorensen, Michel Haddad, Ri- chard N. Pierson, Frances L. Johnson, James M. Brown, Bartley P. Griffith. Clinical outcomes are similar in pulsa- tile and nonpulsatile left ventricular assist device recipi- ents. Ann. Thorac. Surg. 2007; 83 (3): 1082–1088.</mixed-citation><mixed-citation xml:lang="en">Erika D. Feller, Erik N. Sorensen, Michel Haddad, Ri- chard N. Pierson, Frances L. Johnson, James M. Brown, Bartley P. Griffith. Clinical outcomes are similar in pulsa- tile and nonpulsatile left ventricular assist device recipi- ents. Ann. Thorac. Surg. 2007; 83 (3): 1082–1088.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Jeffrey R. Gohean, Mitchell J. George, Thomas D. Pate. Verification of a Computational Cardiovascular System Model Comparing the Hemodynamics of a Continuous Flow to a Synchronous Valveless Pulsatile Flow Left Ventricular Assist Device. ASAIO Journal. 2013: 107– 123.</mixed-citation><mixed-citation xml:lang="en">Jeffrey R. Gohean, Mitchell J. George, Thomas D. Pate. Verification of a Computational Cardiovascular System Model Comparing the Hemodynamics of a Continuous Flow to a Synchronous Valveless Pulsatile Flow Left Ventricular Assist Device. ASAIO Journal. 2013: 107– 123.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">John R., Kamdar F., Liao K., Colvin-Adams M., Boyle A., Joyce L. Improved survival and decreasing incidence of adverse events with the HeartMate II left ventricular as- sist device as bridge-totransplant therapy. Ann. Thorac. Surg. 2008; 86: 1227–1234; discussion 34–35.</mixed-citation><mixed-citation xml:lang="en">John R., Kamdar F., Liao K., Colvin-Adams M., Boyle A., Joyce L. Improved survival and decreasing incidence of adverse events with the HeartMate II left ventricular as- sist device as bridge-totransplant therapy. Ann. Thorac. Surg. 2008; 86: 1227–1234; discussion 34–35.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Longya Xu, Minghua Fu. Computer Modeling of Inter- actions of an Electric Motor, Circulatory System, and Rotary Blood Pump. ASAIO Journal. 2000: 604–611.</mixed-citation><mixed-citation xml:lang="en">Longya Xu, Minghua Fu. Computer Modeling of Inter- actions of an Electric Motor, Circulatory System, and Rotary Blood Pump. ASAIO Journal. 2000: 604–611.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Patel N.D., Weiss E.S., Schaffer J., Ullrich S.L., Ri- vard D.C., Shah A.S., Russell S.D., Conte J.V. Right Heart Dysfunction After Left Ventricular Assist Device Implantation: A Comparison of the Pulsatile HeartMate I and Axial-Flow HeartMate II Devices. Ann. Thorac. Surg. 2008; 86: 832–840.</mixed-citation><mixed-citation xml:lang="en">Patel N.D., Weiss E.S., Schaffer J., Ullrich S.L., Ri- vard D.C., Shah A.S., Russell S.D., Conte J.V. Right Heart Dysfunction After Left Ventricular Assist Device Implantation: A Comparison of the Pulsatile HeartMate I and Axial-Flow HeartMate II Devices. Ann. Thorac. Surg. 2008; 86: 832–840.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Roston S. Mathematical formulation of cardiovascular dynamics by use of the Laplas transform. Bull. Math. Biophys. 1959; 21: 1–11.</mixed-citation><mixed-citation xml:lang="en">Roston S. Mathematical formulation of cardiovascular dynamics by use of the Laplas transform. Bull. Math. Biophys. 1959; 21: 1–11.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Slaughter M.S., Rogers J.G., Milano C.A., Russell S.D., Conte J.V., Feldman D., Sun B., Tatooles A.J., Delga- do R.M. 3rd, Long J.W., Wozniak T.C., Ghumman W., Farrar D.J., Frazier O.H. HeartMate II Investiga- tors. Advanced heart failure treated with continuous- flow left ventricular assist device. N. Engl. J. Med. 2009; 361: 2241–2251.</mixed-citation><mixed-citation xml:lang="en">Slaughter M.S., Rogers J.G., Milano C.A., Russell S.D., Conte J.V., Feldman D., Sun B., Tatooles A.J., Delga- do R.M. 3rd, Long J.W., Wozniak T.C., Ghumman W., Farrar D.J., Frazier O.H. HeartMate II Investiga- tors. Advanced heart failure treated with continuous- flow left ventricular assist device. N. Engl. J. Med. 2009; 361: 2241–2251.</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>
