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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">transmed</journal-id><journal-title-group><journal-title xml:lang="ru">Трансляционная медицина</journal-title><trans-title-group xml:lang="en"><trans-title>Translational Medicine</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2311-4495</issn><issn pub-type="epub">2410-5155</issn><publisher><publisher-name>Almazov National Medical Research Centre, Saint Petersburg, Russia</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18705/2311-4495-2015-0-6-53-63</article-id><article-id custom-type="elpub" pub-id-type="custom">transmed-106</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>ЭКСПЕРИМЕНТАЛЬНЫЕ ИССЛЕДОВАНИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>EXPERIMENTAL STUDIES</subject></subj-group></article-categories><title-group><article-title>Различные виды феноменологических математических моделей тромбообразования в микрососудах</article-title><trans-title-group xml:lang="en"><trans-title>Different Types of Phenomenological Mathematical Models of Thrombus Growth</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>Кондратьев</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Kondratyev</surname><given-names>A. S.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.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>Ляпцев</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Lyaptsev</surname><given-names>A. V.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.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>Михайлова</surname><given-names>И. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Mikhailova</surname><given-names>I. A.</given-names></name></name-alternatives><email xlink:type="simple">fisika45@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Петрищев</surname><given-names>Н. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Petrishchev</surname><given-names>N. N.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Российский Государственный Педагогический Университет им.А.И.Герцена</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Herzen State Pedagogical University of Russia</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт экспериментальной медицины ФГБУ «СЗФМИЦ им. В.А. Алмазова» Минздрава России; ГБОУ ВПО «ПСПбГМУ им. акад. И.П. Павлова»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Experimental Medicine, Federal Almazov Medical Research Centre; First Pavlov State Medical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>23</day><month>12</month><year>2016</year></pub-date><volume>0</volume><issue>6</issue><fpage>53</fpage><lpage>63</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Кондратьев А.С., Ляпцев А.В., Михайлова И.А., Петрищев Н.Н., 2016</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="ru">Кондратьев А.С., Ляпцев А.В., Михайлова И.А., Петрищев Н.Н.</copyright-holder><copyright-holder xml:lang="en">Kondratyev A.S., Lyaptsev A.V., Mikhailova I.A., Petrishchev N.N.</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://transmed.almazovcentre.ru/jour/article/view/106">https://transmed.almazovcentre.ru/jour/article/view/106</self-uri><abstract><p>Представлена феноменологическая математическая модель лазер-индуцированного тромбоза в микрососудах , построенная на основе иерархии временных масштабов Боголюбова. Стохастический характер роста тромба учтен явным введением функции вероятности. Главные положения модели соответствуют основным экспериментальным результатам, полученным в последние годы. Представленные модельные графики дают возможность получить качественное согласие между модельными расчётами и экспериментальными данными. Проведено сравнение представленной феноменологической модели с другими типами моделей тромбообразования в микрососудах.</p></abstract><trans-abstract xml:lang="en"><p>Phenomenological mathematical model of laser-induced thrombi growth is developed on the basis of Bogolubov’s hierarchy of time scales. The stochastic character of thrombi growth is revealed in the model by explicit introduction of the probability function. The main foundations of the model correspond to the basic experimental results concerning thrombus formation obtained in recent years. The modeling curves permit to achieve qualitative agreement between model and experimental data. The comparison of the model with other models of thrombus growth is performed.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>математическая модель</kwd><kwd>микрососуды</kwd><kwd>тромбообразование</kwd><kwd>тромбоциты</kwd><kwd>иерархия временных масштабов</kwd><kwd>Mathematical model</kwd><kwd>microvessels</kwd><kwd>thrombus growth</kwd><kwd>platelets</kwd><kwd>hierarchy of time scales</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">A. Kondratyev, I. Mikhailova, Mathematical Modeling of Laser-Induced Thrombus Formation in Microvasculature.In: Mathematical Modeling. (Ed. Christopher R. Brennan). N.Y.: Nova Science Publishers, Inc. 2011: Ch. 5.</mixed-citation><mixed-citation xml:lang="en">A. Kondratyev, I. Mikhailova, Mathematical Modeling of Laser-Induced Thrombus Formation in Microvasculature.In: Mathematical Modeling. (Ed. Christopher R. Brennan). N.Y.: Nova Science Publishers, Inc. 2011: Ch. 5.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">J. D. Murray, Mathematical Biology. N.Y.: Springer-Verlag, 2004; 551 p.</mixed-citation><mixed-citation xml:lang="en">J. D. Murray, Mathematical Biology. N.Y.: Springer-Verlag, 2004; 551 p.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">A. Alenitsyn, A. Kondratyev, I. Mikhailova, I. Siddique, Mathematical modeling of thrombus growth in mesenteric vessels. Math. Biosc. 2010; 224: 29-34.</mixed-citation><mixed-citation xml:lang="en">A. Alenitsyn, A. Kondratyev, I. Mikhailova, I. Siddique, Mathematical modeling of thrombus growth in mesenteric vessels. Math. Biosc. 2010; 224: 29-34.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">R. Ouared, B. Chopard, B. Stahl, D.A. Rufenacht, H. Yilmaz, G. Courbebaisse, Thrombosis modeling in intracranial aneurysms: a lattice Boltzmann numerical algorithm. Comput. Phys. Commun. 2008;179 : 128-131.</mixed-citation><mixed-citation xml:lang="en">R. Ouared, B. Chopard, B. Stahl, D.A. Rufenacht, H. Yilmaz, G. Courbebaisse, Thrombosis modeling in intracranial aneurysms: a lattice Boltzmann numerical algorithm. Comput. Phys. Commun. 2008;179 : 128-131.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">T. W. Secomb, Theoretical Models for Regulation of Blood Flow. Microcirculation. 2008;15: 765-775.</mixed-citation><mixed-citation xml:lang="en">T. W. Secomb, Theoretical Models for Regulation of Blood Flow. Microcirculation. 2008;15: 765-775.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">A.A. Tokarev, A.A. Butylin, F.I. Ataullakhanov, Platelet Adhesion from Shear Blood Flow is Controlled by Near-Wall Rebounding Collisions with Erythrocytes. Biophys. J. 2011;100: 799-808.</mixed-citation><mixed-citation xml:lang="en">A.A. Tokarev, A.A. Butylin, F.I. Ataullakhanov, Platelet Adhesion from Shear Blood Flow is Controlled by Near-Wall Rebounding Collisions with Erythrocytes. Biophys. J. 2011;100: 799-808.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">A.A. Tokarev, Yu.V. Krasotkina, M.V. Ovanesov, M.A. Panteleev, M.A. Azhigirova, V.A. Volpert, F.I. Ataullakhanov, A.A. Butylin, Spatial Dynamics of Contact-Activated Fibrin Clot Formation in vitro and in silico in Haemophilia B: Effects of Severity and Ahemphil B Treatment. Mathematical modeling of natural phenomena. 2006;1: 124-137.</mixed-citation><mixed-citation xml:lang="en">A.A. Tokarev, Yu.V. Krasotkina, M.V. Ovanesov, M.A. Panteleev, M.A. Azhigirova, V.A. Volpert, F.I. Ataullakhanov, A.A. Butylin, Spatial Dynamics of Contact-Activated Fibrin Clot Formation in vitro and in silico in Haemophilia B: Effects of Severity and Ahemphil B Treatment. Mathematical modeling of natural phenomena. 2006;1: 124-137.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">A. Tokarev, I. Sirakov, G. Panasenko, V. Volpert,E. Shnjl, A. Butylin, F. Ataullakhanov, Continuous Mathematical Model of Platelet Thrombus Formation in Blood Flow. Russian Journal of Numerical Analysis and Mathematical Modeling. 2012;27: 191-212.</mixed-citation><mixed-citation xml:lang="en">A. Tokarev, I. Sirakov, G. Panasenko, V. Volpert,E. Shnjl, A. Butylin, F. Ataullakhanov, Continuous Mathematical Model of Platelet Thrombus Formation in Blood Flow. Russian Journal of Numerical Analysis and Mathematical Modeling. 2012;27: 191-212.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Z. Xu, N. Chen, S. Shadden, J.E. Marsden, M.M. Kamocka, E.D. Rosen, M.S. Alber, Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter. 2009;5 :769-779.</mixed-citation><mixed-citation xml:lang="en">Z. Xu, N. Chen, S. Shadden, J.E. Marsden, M.M. Kamocka, E.D. Rosen, M.S. Alber, Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter. 2009;5 :769-779.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Z. Xu, N. Chen, S. Shadden, J.E. Marsden, M.M. Kamocka, E.D. Rosen, M.S. Alber, Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter. 2009; 5: 769-779.</mixed-citation><mixed-citation xml:lang="en">Z. Xu, N. Chen, S. Shadden, J.E. Marsden, M.M. Kamocka, E.D. Rosen, M.S. Alber, Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter. 2009; 5: 769-779.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">N.Petrishchev, I.Mikhailova. Thrombi formation parameters in mesenteric arterioles and venules in rats. Thromb. Res. 1993; 72;347-352</mixed-citation><mixed-citation xml:lang="en">N.Petrishchev, I.Mikhailova. Thrombi formation parameters in mesenteric arterioles and venules in rats. Thromb. Res. 1993; 72;347-352</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">B. Furie, B.C. Furie, Thrombus formation in vivo. J. Clin. Invest. 2005;5: 3355-3362.</mixed-citation><mixed-citation xml:lang="en">B. Furie, B.C. Furie, Thrombus formation in vivo. J. Clin. Invest. 2005;5: 3355-3362.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">S. Mordon, S. Begu, B. Buys, C. Tourne-Peteilh, J. Devoisselle, Study of platelet behavior in vivo after endothelial stimulation with laser irradiation using fluorescence intravital videomicroscopy and PEGylated liposome staining. Microvasc. Res. 2002;64: 316-325.</mixed-citation><mixed-citation xml:lang="en">S. Mordon, S. Begu, B. Buys, C. Tourne-Peteilh, J. Devoisselle, Study of platelet behavior in vivo after endothelial stimulation with laser irradiation using fluorescence intravital videomicroscopy and PEGylated liposome staining. Microvasc. Res. 2002;64: 316-325.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Z.M. Ruggeri, Old concepts and new developments in the study of platelet aggregation. J. Clin. Invest. 2000;105: 699-701.</mixed-citation><mixed-citation xml:lang="en">Z.M. Ruggeri, Old concepts and new developments in the study of platelet aggregation. J. Clin. Invest. 2000;105: 699-701.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Z.M. Ruggeri, G.L. Mendolicchio, Adhesion mechanisms in platelet function. Circ. Res. 2007;100: 1673-1685.</mixed-citation><mixed-citation xml:lang="en">Z.M. Ruggeri, G.L. Mendolicchio, Adhesion mechanisms in platelet function. Circ. Res. 2007;100: 1673-1685.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">A. Tailor, D. Cooper, D.N. Granger, Platelet-Vessel Wall Interactions in the Microcirculation. Microcirculation. 2005; 12: 275-285.</mixed-citation><mixed-citation xml:lang="en">A. Tailor, D. Cooper, D.N. Granger, Platelet-Vessel Wall Interactions in the Microcirculation. Microcirculation. 2005; 12: 275-285.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">D. Varga-Szabo, I. Pleines, B. Nieswandt, Cell adhesion mechanisms in platelets, Arterioscler. Thromb. Vasc. Biol. 2008; 28: 403-412.</mixed-citation><mixed-citation xml:lang="en">D. Varga-Szabo, I. Pleines, B. Nieswandt, Cell adhesion mechanisms in platelets, Arterioscler. Thromb. Vasc. Biol. 2008; 28: 403-412.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">T. David, P.G. Walker, Activation and extinction models for platelet adhesion. Biorheology. 2002; 39:293-298.</mixed-citation><mixed-citation xml:lang="en">T. David, P.G. Walker, Activation and extinction models for platelet adhesion. Biorheology. 2002; 39:293-298.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">A. L. Kuharsky, A.L. Fogelson, Surface-mediated control of blood coagulation: the role of binding site densities and platelet deposition. Biophys. J. 2001;80: 1050-1074.</mixed-citation><mixed-citation xml:lang="en">A. L. Kuharsky, A.L. Fogelson, Surface-mediated control of blood coagulation: the role of binding site densities and platelet deposition. Biophys. J. 2001;80: 1050-1074.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">I.V. Pivkin, P.D. Richardson, G. Karniadakis, Blood flow velocity effects and role of activation delay time on growth and form of platelet thrombi. Proc. Natl. Acad. Sci. USA.2006; 103: 17164-17169.</mixed-citation><mixed-citation xml:lang="en">I.V. Pivkin, P.D. Richardson, G. Karniadakis, Blood flow velocity effects and role of activation delay time on growth and form of platelet thrombi. Proc. Natl. Acad. Sci. USA.2006; 103: 17164-17169.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">D. Wootton, C. Marcou, S. Hanson, D. Ku, A mechanistic model of acute platelet accumulation in thrombogenic stenoses Ann. Biom. Eng. 2001;29: 321-329.</mixed-citation><mixed-citation xml:lang="en">D. Wootton, C. Marcou, S. Hanson, D. Ku, A mechanistic model of acute platelet accumulation in thrombogenic stenoses Ann. Biom. Eng. 2001;29: 321-329.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">N. Begent, G.V.R. Born, Growth rate in vivo of platelet thrombi, produced by iontophoresis of ADP as a function of mean blood velocity. Nature. 1970; 227: 926-930.</mixed-citation><mixed-citation xml:lang="en">N. Begent, G.V.R. Born, Growth rate in vivo of platelet thrombi, produced by iontophoresis of ADP as a function of mean blood velocity. Nature. 1970; 227: 926-930.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">A.S. Kondratyev, I.A. Mikhailova, N.N. Petrishchev, Effect of blood flow velocity on platelet thrombi formation in microvessels. Biophysics.1990;35: 469-472.</mixed-citation><mixed-citation xml:lang="en">A.S. Kondratyev, I.A. Mikhailova, N.N. Petrishchev, Effect of blood flow velocity on platelet thrombi formation in microvessels. Biophysics.1990;35: 469-472.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">N.N. Petrishchev, A.S. Kondratyev, I.A. Mikhailova, Effect of blood flow on thrombus growth in mesenteric vessels. 6th World Congress for Microcirculation, Munich (Germany). 1996: 487-490.</mixed-citation><mixed-citation xml:lang="en">N.N. Petrishchev, A.S. Kondratyev, I.A. Mikhailova, Effect of blood flow on thrombus growth in mesenteric vessels. 6th World Congress for Microcirculation, Munich (Germany). 1996: 487-490.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">M. Sato, N. Ohshima, Hemodynamics at stenosis formed by growing platelet thrombi in mesenteric microvasculature of rat. Microvasc. Res. 1986;31: 66-76.</mixed-citation><mixed-citation xml:lang="en">M. Sato, N. Ohshima, Hemodynamics at stenosis formed by growing platelet thrombi in mesenteric microvasculature of rat. Microvasc. Res. 1986;31: 66-76.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">P.D. Richardson, Effect of blood flow velocity on growth rate of platelet thrombi. Nature. 1970;245: 103-104.</mixed-citation><mixed-citation xml:lang="en">P.D. Richardson, Effect of blood flow velocity on growth rate of platelet thrombi. Nature. 1970;245: 103-104.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">A. Bonnefoy, Q. Lui, C. Legrand, M. Frojmovic, Efficiency of platelet adhesion to fibrinogen depends on both cell activation and flow. Biophys. J. 2000;78: 2834-2843.</mixed-citation><mixed-citation xml:lang="en">A. Bonnefoy, Q. Lui, C. Legrand, M. Frojmovic, Efficiency of platelet adhesion to fibrinogen depends on both cell activation and flow. Biophys. J. 2000;78: 2834-2843.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">M.F. Hockin, K.J. Jones, S.J. Everse, K.G. Mann. A model for the stoichiometric regulation of blood coagulation. J. Bio. Chem. 2002;277: 18322-18333.</mixed-citation><mixed-citation xml:lang="en">M.F. Hockin, K.J. Jones, S.J. Everse, K.G. Mann. A model for the stoichiometric regulation of blood coagulation. J. Bio. Chem. 2002;277: 18322-18333.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">S. Kulharni, S.M. Dopheide, C.L. Yap, C. Ravanat et al. A revised model of platelet aggregation, J. Clin. Invest. 2000; 105: 783-791.</mixed-citation><mixed-citation xml:lang="en">S. Kulharni, S.M. Dopheide, C.L. Yap, C. Ravanat et al. A revised model of platelet aggregation, J. Clin. Invest. 2000; 105: 783-791.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">L.D. Landau, E.M. Lifshitz. Fluid Mechanics.(Ed. Butterworth - Heinemann). 1987; Vol. 6.</mixed-citation><mixed-citation xml:lang="en">L.D. Landau, E.M. Lifshitz. Fluid Mechanics.(Ed. Butterworth - Heinemann). 1987; Vol. 6.</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>
