<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<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" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Russian Journal of Biological Physics and Chemisrty</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Russian Journal of Biological Physics and Chemisrty</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>АКТУАЛЬНЫЕ ВОПРОСЫ БИОЛОГИЧЕСКОЙ ФИЗИКИ И ХИМИИ</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2499-9962</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">54470</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Моделирование в биофизике</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Modelling in biophycis</subject>
    </subj-group>
    <subj-group>
     <subject>Моделирование в биофизике</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">COMPUTER SIMULATION OF THE INTRACELLULAR MECHANISM OF THE CARDIAC ARRHYTHMIA CREATION AND SUPPRESSION</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>МОДЕЛИРОВАНИЕ ВНУТРИКЛЕТОЧНОГО МЕХАНИЗМА ВОЗНИКНОВЕНИЯ И ПОДАВЛЕНИЯ СЕРДЕЧНОЙ АРИТМИИ</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Зорин</surname>
       <given-names>Н М</given-names>
      </name>
      <name xml:lang="en">
       <surname>Zorin</surname>
       <given-names>N M</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Шевченко</surname>
       <given-names>М И</given-names>
      </name>
      <name xml:lang="en">
       <surname>Shevchenko</surname>
       <given-names>M I</given-names>
      </name>
     </name-alternatives>
     <email>maria.shevchenko@urfu.ru</email>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Москвин</surname>
       <given-names>А С</given-names>
      </name>
      <name xml:lang="en">
       <surname>Moskvin</surname>
       <given-names>A S</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Уральский федеральный университет им. первого Президента России Б.Н. Ельцина</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Ural Federal University, Institute of Natural Sciences and Mathematics</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Уральский федеральный университет им. первого Президента России Б.Н. Ельцина</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Ural Federal University, Institute of Natural Sciences and Mathematics</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Уральский федеральный университет им. первого Президента России Б.Н. Ельцина</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Ural Federal University, Institute of Natural Sciences and Mathematics</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2019-12-25T20:22:29+03:00">
    <day>25</day>
    <month>12</month>
    <year>2019</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2019-12-25T20:22:29+03:00">
    <day>25</day>
    <month>12</month>
    <year>2019</year>
   </pub-date>
   <volume>4</volume>
   <issue>4</issue>
   <fpage>514</fpage>
   <lpage>522</lpage>
   <history>
    <date date-type="received" iso-8601-date="2019-12-20T20:22:29+03:00">
     <day>20</day>
     <month>12</month>
     <year>2019</year>
    </date>
    <date date-type="accepted" iso-8601-date="2019-12-20T20:22:29+03:00">
     <day>20</day>
     <month>12</month>
     <year>2019</year>
    </date>
   </history>
   <self-uri xlink:href="https://rusjbpc.ru/en/nauka/article/54470/view">https://rusjbpc.ru/en/nauka/article/54470/view</self-uri>
   <abstract xml:lang="ru">
    <p>В рамках обобщенной «двухосцилляторной» модели Мальцева-Лакатты, включающей электронно-конформационную модель рианодиновых рецепторов, рассмотрена стохастическая модель ионной динамики сердечной клетки водителя ритма. Показано, что формирование потенциала действия существенно зависит от характера взаимодействия внешнего мембранного и внутриклеточного («Ca2+-часы») осцилляторов. Конструктивное взаимодействие осцилляторов приводит к формированию устойчивого потенциала действия, тогда как деструктивное взаимодействие приводит к паразитным эффектам, в частности, аритмии. Исследовано влияние параметров модели, характерных для синоатриального узла сердца кролика, на качественный вид временной зависимости мембранного потенциала клетки. Найдены условия и описан механизм спонтанного перехода колебаний в аномально быстрый режим, тем самым фактически смоделировано поведение клетки водителя ритма при тахикардии. Показано что подавление быстрого калиевого тока нормализует колебательный режим ионной динамики клетки водителя ритма, что соответствует действию антиаритмических препаратов III класса.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>We consider a stochastic model of the ion dynamics of the pacemaker's heart cell based in the generalized Maltsev-Lakatta model of two oscillators including the electron-conformational model of ryanodine receptors. It is shown that the formation of the action potential significantly depends on the nature of interactions between the external membrane and intracellular (“Ca2+ clock”) oscillators. The constructive interaction between oscillators leads to the formation of a stable action potential, while a destructive interaction leads to parasitic effects, in particular, arrhythmias. We examined the influence of the model parameters characteristic of the rabbit sinoatrial heart node on the qualitative aspect of the time dependence of the cell membrane potential. The conditions under which spontaneous transition of oscillations to the abnormally fast mode occurs have been found and this mechanism has been described, thereby the behavior of the pacemaker cell during tachycardia has actually been modeled. Computer simulation shows that the suppression of fast potassium current normalizes the oscillatory mode of the ion dynamics of the pacemaker cell, that corresponds to the action of class III antiarrhythmic drugs.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>клетка водителя ритма</kwd>
    <kwd>аритмия</kwd>
    <kwd>модель Мальцева-Лакатты</kwd>
    <kwd>электронно-конформационная модель</kwd>
    <kwd>компьютерное моделирование</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>pacemaker cell</kwd>
    <kwd>arrhythmia</kwd>
    <kwd>Maltsev-Lakatta model</kwd>
    <kwd>electron-conformational model</kwd>
    <kwd>computer simulation</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">Работа выполнена при поддержке Программы 211 Правительства Российской Федерации, соглашение № 02.A03.21.0006, и проекта №5719 Министерства Образования и Науки Российской Федерации.</funding-statement>
   </funding-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Мандела В.Дж. Аритмии сердца. Механизмы. Диагностика. Лечение. Медицина, М., 1996.  @@[Heart arrhythmias. Translated from English under the editorship of V.J. Mandela. M.: Medicine, 1996 (In Russ.)]
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Mandela V.Dzh. Aritmii serdca. Mehanizmy. Diagnostika. Lechenie. Medicina, M., 1996.  @@[Heart arrhythmias. Translated from English under the editorship of V.J. Mandela. M.: Medicine, 1996 (In Russ.)]
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              The Cardiac Arrhythmias Suppression Trial Investigators (CAST). N. Engl. J. Med., vol. 321, 406 (1989).
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              The Cardiac Arrhythmias Suppression Trial Investigators (CAST). N. Engl. J. Med., vol. 321, 406 (1989).
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              The Cardiac Arrhythmias Suppression Trial Investigators (CAST), N. Engl. J. Med. vol. 327, 233 (1992).
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              The Cardiac Arrhythmias Suppression Trial Investigators (CAST), N. Engl. J. Med. vol. 327, 233 (1992).
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Vinogradova T.M., Zhou Y.Y., Maltsev V.A. et al. Rhythmic Ryanodine Receptor Ca2+ Releases During Diastolic Depolarization of Sinoatrial Pacemaker Cells Do Not Require Membrane Depolarization. Circ. Res., 2004, vol. 94, no. 6, p. 802.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Vinogradova T.M., Zhou Y.Y., Maltsev V.A. et al. Rhythmic Ryanodine Receptor Ca2+ Releases During Diastolic Depolarization of Sinoatrial Pacemaker Cells Do Not Require Membrane Depolarization. Circ. Res., 2004, vol. 94, no. 6, p. 802.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Bogdanov K.Y., Maltsev V.A., Vinogradova T.M. et al. Membrane potential fluctuations resulting from submembrane Ca2+ releases in rabbit sinoatrial nodal cells impart an exponential phase to the late diastolic depolarization that controls their chronotropic state. Res., 2006, vol. 99, p. 979.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Bogdanov K.Y., Maltsev V.A., Vinogradova T.M. et al. Membrane potential fluctuations resulting from submembrane Ca2+ releases in rabbit sinoatrial nodal cells impart an exponential phase to the late diastolic depolarization that controls their chronotropic state. Res., 2006, vol. 99, p. 979.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Maltsev V.A., Lakatta E.G. Synergism of coupled subsarcolemmal Ca2+ clocks and sarcolemmal voltage clocks confers robust and flexible pacemaker function in a novel pacemaker cell model. Am. J. Physiol. Heart Circ. Physiol., 2009, vol. 296, p. 594.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Maltsev V.A., Lakatta E.G. Synergism of coupled subsarcolemmal Ca2+ clocks and sarcolemmal voltage clocks confers robust and flexible pacemaker function in a novel pacemaker cell model. Am. J. Physiol. Heart Circ. Physiol., 2009, vol. 296, p. 594.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Bozler E. The Initiation of Impulses in Cardiac Muscle. Amer. J. Physiol., 1943, vol. 138, p. 273.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Bozler E. The Initiation of Impulses in Cardiac Muscle. Amer. J. Physiol., 1943, vol. 138, p. 273.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Sobie E.A., Dilly K.W., Jafri M.S. Termination of cardiac of Ca2+ sparks: an investigative mathematical model of calcium-induced calcium release. Biophys. J., 2002, vol. 83, p. 59.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Sobie E.A., Dilly K.W., Jafri M.S. Termination of cardiac of Ca2+ sparks: an investigative mathematical model of calcium-induced calcium release. Biophys. J., 2002, vol. 83, p. 59.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Gyorke I., Gyorke S. Regulation of the cardiac ryanodine receptor channel by luminal Ca2+ involves luminal Ca2+ sensing sites. Biophys. J., 1998, vol. 75, no. 6, p. 2801.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Gyorke I., Gyorke S. Regulation of the cardiac ryanodine receptor channel by luminal Ca2+ involves luminal Ca2+ sensing sites. Biophys. J., 1998, vol. 75, no. 6, p. 2801.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Wilders R., Jongsma H.J., van Ginneken A.C.G. Pacemaker activity of the rabbit sinoatrial node: a comparison of mathematical models. Biophys. J., 1991, vol. 60, no. 5, p. 1202.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Wilders R., Jongsma H.J., van Ginneken A.C.G. Pacemaker activity of the rabbit sinoatrial node: a comparison of mathematical models. Biophys. J., 1991, vol. 60, no. 5, p. 1202.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Shannon T.R., Pogwizd S.M., Bers D.M. Elevated sarcoplasmic reticulum Ca2+ leak in intact ventricular myocytes from rabbits in heart failure. Circ. Res., 2003, vol. 93, no. 7, p. 592.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Shannon T.R., Pogwizd S.M., Bers D.M. Elevated sarcoplasmic reticulum Ca2+ leak in intact ventricular myocytes from rabbits in heart failure. Circ. Res., 2003, vol. 93, no. 7, p. 592.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Shannon T.R., Wang F., Puglisi J. A Mathematical Treatment of Integrated Ca Dynamics within the Ventricular Myocyte. Biophys. J., vol. 87, no. 5, p. 3351.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Shannon T.R., Wang F., Puglisi J. A Mathematical Treatment of Integrated Ca Dynamics within the Ventricular Myocyte. Biophys. J., vol. 87, no. 5, p. 3351.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Kurata Y., Hisatome I., Imanishi S., Shibamoto T. Dynamical description of sinoatrial node pacemaking: improved mathematical model for primary pacemaker cell. Am. J. Physiol. Heart Circ. Physiol., 2002, vol. 283, no. 5, p. H2074.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Kurata Y., Hisatome I., Imanishi S., Shibamoto T. Dynamical description of sinoatrial node pacemaking: improved mathematical model for primary pacemaker cell. Am. J. Physiol. Heart Circ. Physiol., 2002, vol. 283, no. 5, p. H2074.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Bers D. Excitation-Contraction Coupling and Cardiac Contractile Force. Springer, New York, 2001.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Bers D. Excitation-Contraction Coupling and Cardiac Contractile Force. Springer, New York, 2001.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Kurata Y., Hisatome I., Imanishi S., Shibamoto T. Roles of L-type Ca2+ and delayed-rectifier K+ currents in sinoatrial node pacemaking: insights from stability and bifurcation analyses of a mathematical model. Am. J. Physiol. Heart Circ. Physiol., 2003, vol. 285, no. 6, p. H2804.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Kurata Y., Hisatome I., Imanishi S., Shibamoto T. Roles of L-type Ca2+ and delayed-rectifier K+ currents in sinoatrial node pacemaking: insights from stability and bifurcation analyses of a mathematical model. Am. J. Physiol. Heart Circ. Physiol., 2003, vol. 285, no. 6, p. H2804.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Baruscotti M., Bucchi A., Difrancesco D. Physiology and pharmacology of the cardiac pacemaker (&quot;funny&quot;) current. Pharmacol. Ther., 2005, vol. 107, p. 59.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Baruscotti M., Bucchi A., Difrancesco D. Physiology and pharmacology of the cardiac pacemaker (&quot;funny&quot;) current. Pharmacol. Ther., 2005, vol. 107, p. 59.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Moskvin A.S., Philipiev M.P., Solovyova O.E., Markhasin V.S. Electron-conformational model of nonlinear dynamics of the ryanodine channel lattice in cardiomyocytes. Dokl. Biochem. Biophys., 2005, vol. 400, p. 32.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Moskvin A.S., Philipiev M.P., Solovyova O.E., Markhasin V.S. Electron-conformational model of nonlinear dynamics of the ryanodine channel lattice in cardiomyocytes. Dokl. Biochem. Biophys., 2005, vol. 400, p. 32.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Moskvin A.S., Philipiev M.P., Solovyova O.E., Markhasin V.S. Electron-conformational model of ryanodine receptor lattice dynamics. Prog. Biophys. Mol. Biol., 2006, vol. 90, p. 88.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Moskvin A.S., Philipiev M.P., Solovyova O.E., Markhasin V.S. Electron-conformational model of ryanodine receptor lattice dynamics. Prog. Biophys. Mol. Biol., 2006, vol. 90, p. 88.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Moskvin A.S., Iaparov B.I., Ryvkin A.M., Solovyova O.E., Markhasin V.S. Electron-conformational transformations govern the temperature dependence of the cardiac ryanodine receptor gating. JETP Letters, 2015, vol. 102, no. 1, p. 67.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Moskvin A.S., Iaparov B.I., Ryvkin A.M., Solovyova O.E., Markhasin V.S. Electron-conformational transformations govern the temperature dependence of the cardiac ryanodine receptor gating. JETP Letters, 2015, vol. 102, no. 1, p. 67.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Рывкин А.М., Москвин А.С., Соловьева О.Э., Мархасин В.С. Моделирование автоволновой кальциевой динамики в кардиомиоцитах в рамках электронно-конформационной теории. Докл. РАН, 2012, т. 444, № 5, с. 572.  @@[Ryvkin A.M., Moskvin A.S., Solovyova O.E., Markhasin V.S. Simulation of autowave calcium dynamics in cardiomyocytes in the framework of electron-conformational theory. Proceedings of the Academy of Sciences, 2012, vol. 444, no. 5, p. 572. (In Russ.)]
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Ryvkin A.M., Moskvin A.S., Solov'eva O.E., Marhasin V.S. Modelirovanie avtovolnovoy kal'cievoy dinamiki v kardiomiocitah v ramkah elektronno-konformacionnoy teorii. Dokl. RAN, 2012, t. 444, № 5, s. 572.  @@[Ryvkin A.M., Moskvin A.S., Solovyova O.E., Markhasin V.S. Simulation of autowave calcium dynamics in cardiomyocytes in the framework of electron-conformational theory. Proceedings of the Academy of Sciences, 2012, vol. 444, no. 5, p. 572. (In Russ.)]
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B21">
    <label>21.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Moskvin A.S., Ryvkin A.M., Solovyova O.E., Markhasin V.S. Electron-conformational transformations in nanoscopic RyR channels govern both the heart's contraction and beating. JETP Letters, 2011, vol. 93, no. 7, pp. 403-408.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Moskvin A.S., Ryvkin A.M., Solovyova O.E., Markhasin V.S. Electron-conformational transformations in nanoscopic RyR channels govern both the heart's contraction and beating. JETP Letters, 2011, vol. 93, no. 7, pp. 403-408.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B22">
    <label>22.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Ryvkin A.M., Zorin N.M., Moskvin A.S., Solovyova O.E., Markhasin V.S. The Interaction Of The Membrane And Calcium Oscillators In Cardiac Pacemaker Cells: Mathematical Modeling. Biofizika, 2015, vol. 60, no. 6, p. 946.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Ryvkin A.M., Zorin N.M., Moskvin A.S., Solovyova O.E., Markhasin V.S. The Interaction Of The Membrane And Calcium Oscillators In Cardiac Pacemaker Cells: Mathematical Modeling. Biofizika, 2015, vol. 60, no. 6, p. 946.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B23">
    <label>23.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Гонотков М.А. Дис.. канд. биол. наук (Ин-т физиологии Коми науч. центра УрО РАН, Сыктывкар, 2015.  @@[Gonotkov M.A. Diss.. Cand. Biol. Sciences (Institute of physiology of Komi). center Uro RAS, Syktyvkar, 2015. (In Russ.)]
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Gonotkov M.A. Dis.. kand. biol. nauk (In-t fiziologii Komi nauch. centra UrO RAN, Syktyvkar, 2015.  @@[Gonotkov M.A. Diss.. Cand. Biol. Sciences (Institute of physiology of Komi). center Uro RAS, Syktyvkar, 2015. (In Russ.)]
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B24">
    <label>24.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">
            
              Malev V.V., Kaulin Y.A., Bezrukov S.M., Gurnev P.A., Takemoto J.Y., Shchagina L.V. Kinetics of opening and closure of syringomycin E channels formed in lipid bilayers. Membr. Cell Biol., 2001, vol. 14, pp. 813-829.
            
          </mixed-citation>
     <mixed-citation xml:lang="en">
            
              Malev V.V., Kaulin Y.A., Bezrukov S.M., Gurnev P.A., Takemoto J.Y., Shchagina L.V. Kinetics of opening and closure of syringomycin E channels formed in lipid bilayers. Membr. Cell Biol., 2001, vol. 14, pp. 813-829.
            
          </mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
