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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Infocommunications and Radio Technologies</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Infocommunications and Radio Technologies</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>ИНФОКОММУНИКАЦИОННЫЕ И РАДИОЭЛЕКТРОННЫЕ ТЕХНОЛОГИИ</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2587-9936</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">53540</article-id>
   <article-id pub-id-type="doi">10.29039/2587-9936.2022.05.4.35</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Электроника, фотоника, приборостроение и связь (2.2)</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>ELECTRONICS, PHOTONICS, INSTRUMENTATION AND COMMUNICATIONS (2.2)</subject>
    </subj-group>
    <subj-group>
     <subject>Электроника, фотоника, приборостроение и связь (2.2)</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Model of the Process of Self-Organization  of the Heart Rhythm</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Модель процесса самоорганизации  водителя ритма сердца</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Алдонин</surname>
       <given-names>Геннадий Михайлович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Aldonin</surname>
       <given-names>Gennady M.</given-names>
      </name>
     </name-alternatives>
     <email>galdonin@sfu-kras.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Черепанов</surname>
       <given-names>Василий Викторович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Cherepanov</surname>
       <given-names>Vasiliy V.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Сибирский федеральный университет</institution>
     <city>Красноярск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Siberian Federal University</institution>
     <city>Krasnoyarsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Сибирский федеральный университет</institution>
     <city>Красноярск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Siberian Federal University</institution>
     <city>Krasnoyarsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2022-10-21T15:13:06+03:00">
    <day>21</day>
    <month>10</month>
    <year>2022</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2022-10-21T15:13:06+03:00">
    <day>21</day>
    <month>10</month>
    <year>2022</year>
   </pub-date>
   <volume>5</volume>
   <issue>4</issue>
   <fpage>472</fpage>
   <lpage>483</lpage>
   <history>
    <date date-type="received" iso-8601-date="2022-05-19T00:00:00+03:00">
     <day>19</day>
     <month>05</month>
     <year>2022</year>
    </date>
    <date date-type="accepted" iso-8601-date="2022-06-05T00:00:00+03:00">
     <day>05</day>
     <month>06</month>
     <year>2022</year>
    </date>
   </history>
   <self-uri xlink:href="https://rusjbpc.ru/en/nauka/article/53540/view">https://rusjbpc.ru/en/nauka/article/53540/view</self-uri>
   <abstract xml:lang="ru">
    <p>В работе рассматривается синергетический анализ физической и физиологической природы электрических процессов в сердце человека, а именно в важнейшей биосистеме — проводящей нервной системе сердца (ПНСС), в частности, водителя ритма сердца (пейсмейкера). В настоящее время активно развиваются перспективные методы исследования ПНСС как активной среды, использующие основы нелинейной динамики. Методы описания активных сред широко используются в исследовании явлений работы водителя ритма сердца, где активная среда представляется как ансамбль некоторых элементов, локально взаимодействующих друг с другом. Самоорганизация в биологических системах может быть представлена на основе нелинейного динамического подхода к описанию механизмов в ПНСС, а именно: рассмотрения Р-клеток пейсмейкера как системы связанных нелинейных осцилляторов. Такой синергетический метод дает реальную основу для моделирования процессов генерации и распространения нервного возбуждения в сердце с использованием теоремы «возврата» Ферми — Пасты — Улама (ФПУ) и теоремы Колмогорова — Арнольда — Мозера (КАМ).</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The paper considers a synergistic analysis of the physical and physiological nature of electrical processes in the human heart, namely in the most important biosystem – the conduction nervous system of the heart (CNSH), in particular, the heart pacemaker. Currently, promising methods for studying CNSH as an active medium are being actively developed, using the foundations of nonlinear dynamics. Methods for describing active media are widely used in the study of the phenomena of the work of the heart pacemaker, where the active medium is represented as an ensemble of some elements that locally interact with each other. Self-organization in biological systems can be represented on the basis of a non-linear dynamic approach to the description of mechanisms in CNSH, namely, the consideration of P-cells of the pacemaker as a system of coupled non-linear oscillators. Such a synergistic method provides a real basis for modeling the processes of generation and propagation of nerve excitation in the heart using the Fermi–Pasta–Ulam (FPU) “return” theorem and the Kolmogorov–Arnold–Moser (KAM) theorem.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>пейсмейкер</kwd>
    <kwd>Р-клетки</kwd>
    <kwd>автоматизм</kwd>
    <kwd>самоорганизация</kwd>
    <kwd>самоподобие</kwd>
    <kwd>автоволны</kwd>
    <kwd>солитон</kwd>
    <kwd>n-мерный тор</kwd>
    <kwd>теорема «возврата» ФПУ</kwd>
    <kwd>КАМ-теорема</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>pacemaker</kwd>
    <kwd>P-cells</kwd>
    <kwd>automatism</kwd>
    <kwd>self-organization</kwd>
    <kwd>self-similarity</kwd>
    <kwd>autowaves</kwd>
    <kwd>soliton</kwd>
    <kwd>n-dimensional torus</kwd>
    <kwd>Fermi–Pasta–Ulam (FPU) “return” theorem</kwd>
    <kwd>Kolmogorov–Arnold–Moser (KAM) theorem</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">Работа выполнена при финансовой поддержке Российского фонда фундаментальных исследований (РФФИ) (грант проект № 19-37-90072).</funding-statement>
    <funding-statement xml:lang="en">This work was supported by the Russian Foundation for Basic Research (RFBR) (project no. 19-37-90072).</funding-statement>
   </funding-group>
  </article-meta>
 </front>
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