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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">aids</journal-id><journal-title-group><journal-title xml:lang="ru">ВИЧ-инфекция и иммуносупрессии</journal-title><trans-title-group xml:lang="en"><trans-title>HIV Infection and Immunosuppressive Disorders</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2077-9828</issn><publisher><publisher-name>Baltic Medical Education Center</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22328/2077-9828-2017-9-2-58-67</article-id><article-id custom-type="elpub" pub-id-type="custom">aids-260</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>МОДЕЛИРОВАНИЕ  ЭПИДЕМИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>МОДЕЛИРОВАНИЕ  ЭПИДЕМИИ</subject></subj-group></article-categories><title-group><article-title>МАТЕМАТИЧЕСКОЕ  МОДЕЛИРОВАНИЕ  ЭПИДЕМИЧЕСКОГО И БИОЛОГИЧЕСКИХ ПРОЦЕССОВ ВИЧ-ИНФЕКЦИИ</article-title><trans-title-group xml:lang="en"><trans-title>MATHEMATICAL MODELING OF EPIDEMIOLOGICAL AND BIOLOGICAL HIV INFECTION PROCESSES</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>Нешумаев</surname><given-names>Д. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Neshumaev</surname><given-names>D. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Нешумаев Дмитрий Александрович — кандидат медицинских наук, зав. лабораторией иммунологических и гематологических исследований КГАУЗ «Краевой центр СПИД».</p><p>660028, Красноярск, ул. Ладо Кецховели, 71–36</p></bio><email xlink:type="simple">neshumaev@gmail.com</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>Сухарев</surname><given-names>Е. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Sucharev</surname><given-names>E. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сухарев Евгений Николаевич — кандидат технических наук, доцент кафедры электронной техники и телекоммуникаций Института информатики и телекоммуникаций ФГБОУ ВО «Сибирский государственный аэрокосмический университет имени академика М.Ф.Решетнёва».</p><p> 660037, Красноярск, пр. имени Газеты «Красноярский рабочий», 31, а/я 1075.</p></bio><email xlink:type="simple">solo113@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>Стасенко</surname><given-names>В. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Stasenko</surname><given-names>V. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Стасенко Владимир Леонидович — доктор медицинских наук, профессор, зав. кафедрой эпидемиологии ФГБОУ ВО «Омский государственный медицинский университет».</p><p> 644099, Омск, ул. Ленина, 12. </p></bio><email xlink:type="simple">vlstasenko@yandex.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>КГАУЗ «Красноярский краевой центр профилактики и борьбы со СПИД».</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Krasnoyarsk Regional Aids Center</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>ФГБОУ ВО «Сибирский государственный аэрокосмический университет имени академика М.Ф. Решетнёва».</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Reshetnev Siberian State Aerospace University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>ФГБОУ ВО «Омский государственный медицинский университет»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Omsk State Medical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>07</day><month>07</month><year>2017</year></pub-date><volume>9</volume><issue>2</issue><fpage>58</fpage><lpage>67</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Нешумаев Д.А., Сухарев Е.Н., Стасенко В.Л., 2017</copyright-statement><copyright-year>2017</copyright-year><copyright-holder xml:lang="ru">Нешумаев Д.А., Сухарев Е.Н., Стасенко В.Л.</copyright-holder><copyright-holder xml:lang="en">Neshumaev D.A., Sucharev E.N., Stasenko V.L.</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://hiv.bmoc-spb.ru/jour/article/view/260">https://hiv.bmoc-spb.ru/jour/article/view/260</self-uri><abstract><p>В данной работе проведен анализ публикаций международных баз данных HighWire, PubMed, Google Scholar в период с 1981 по 2016 год, предложена оригинальная классификация моделей. Все основные математические модели, разработанные для вируса иммунодефицита человека категоризированы на 2 уровня: организменный и популяционный. Организменный уровень делится на модели взаимодействия вируса и человека (изучение репликации вируса иммунодефицита человека, кинетика вирусной популяции в процессе развития заболевания, молекулярные механизмы взаимодействия с иммунными клетками) и модели ингибирующего действия антиретровирусных препаратов (имитационные модели различных терапевтических схем, выработка мутаций резистентности, вирус иммунодефицита человека в клеточных резервуарах, лечение как профилактическое мероприятие). Популяционный уровень можно разделить на модели распространения вируса иммунодефицита человека среди населения (циркуляция различных генотипов вируса, анализ структуры человеческой популяции по возрасту, полу и контингентам риска, тенденции развития в разных географических территориях, изучение факторов, способствующих распространению вирусной инфекции) и управленческие модели, позволяющие наиболее эффективно использовать ресурсы здравоохранения для противодействия эпидемии (анализ профилактической работы, оценка экономических издержек скрининговых, лечебных мероприятий, прогнозирование социально-экономических последствий). Рассмотрены наиболее значимые достижения каждой из представленных групп, выделены не решенные на сегодняшний день проблемы.</p></abstract><trans-abstract xml:lang="en"><p>In this paper analyzed the publications of international databases HighWire, PubMed, Google Scholar in the period 1981–2016 years. Proposed an original classiﬁcation models. All the basic mathematical models developed for the human immunodeﬁciency virus are categorized into 2 levels: organism and population. The organism level is divided into models of virus and human interaction (HIV replication, study of the kinetics of viral population in the development of the disease, the molecular mechanisms of inte- raction with immune cells) and models of the inhibitory effect of anti-retroviral drugs (simulations of different therapeutic schemes, the development of resistance mutations HIV in cell reservoirs, treatment as a preventive measure). The population level can be divided into models of spread of HIV in a population (the circulation of different genotypes of HIV, the analysis of human population structure by age, sex and risk of contingent and trends in different geographical areas, the study of factors contributing to the spread of HIV infection) and management models, making the most effective use of health care system resources for the counteract the epidemic (preventive work analysis, evaluation of the economic costs of screening, therapeutic activities, forecasting the socio-eco- nomic impact). The authors consider the most signiﬁcant achievements of each of these groups, and highlight unresolved problems</p></trans-abstract><kwd-group xml:lang="ru"><kwd>ВИЧ-инфекция</kwd><kwd>инфекционный процесс</kwd><kwd>эпидемический процесс</kwd><kwd>математическая модель</kwd><kwd>экономическая модель</kwd><kwd>прогноз</kwd><kwd>управление.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>HIV infection</kwd><kwd>infection process</kwd><kwd>epidemic process</kwd><kwd>mathematical model</kwd><kwd>economic model</kwd><kwd>prognosis</kwd><kwd>management.</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">Daelemans D., Costes S.V., Cho E.H., Erwin-Cohen R.A., Lockett S., Pavlakis G.N. In vivo HIV-1 rev multimerization in the nucleolus and cyto- plasm identiﬁed by ﬂuorescence resonance energy transfer. J. Biol. Chem., 2004, Vol. 279, No. 48, pp. 50167–50175.</mixed-citation><mixed-citation xml:lang="en">Daelemans D., Costes S.V., Cho E.H., Erwin-Cohen R.A., Lockett S., Pavlakis G.N. In vivo HIV-1 rev multimerization in the nucleolus and cyto- plasm identiﬁed by ﬂuorescence resonance energy transfer. J. Biol. Chem., 2004, Vol. 279, No. 48, pp. 50167–50175.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Tsiang M., Jones G.S., Hung M., Mukund S., Han B., Liu X., Babaoglu K. Affinities between the Binding Partners of the HIV-1 Integrase Dimer-Lens Epithelium-derived Growth Factor (IN Dimer-LEDGF) Complex. J. Biol. Chem., 2009, Vol. 284, pp. 33580–33599.</mixed-citation><mixed-citation xml:lang="en">Tsiang M., Jones G.S., Hung M., Mukund S., Han B., Liu X., Babaoglu K. Affinities between the Binding Partners of the HIV-1 Integrase Dimer-Lens Epithelium-derived Growth Factor (IN Dimer-LEDGF) Complex. J. Biol. Chem., 2009, Vol. 284, pp. 33580–33599.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Goonetilleke N., Liu M.K., Salazar-Gonzalez J.F., Salazar G.M.G., Weinhold K.J., Moore S. The ﬁrst T cell response to transmitted/founder virus contributes to the control of acute viremia in HIV-1 infection. J. Exp. Med., 2009, Vol. 206, pp. 1253–1272.</mixed-citation><mixed-citation xml:lang="en">Goonetilleke N., Liu M.K., Salazar-Gonzalez J.F., Salazar G.M.G., Weinhold K.J., Moore S. The ﬁrst T cell response to transmitted/founder virus contributes to the control of acute viremia in HIV-1 infection. J. Exp. Med., 2009, Vol. 206, pp. 1253–1272.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Salimi H., Roche M., Webb N., Gray L.R., Chikere K., Sterjovski J., Ellett A. Macrophage-tropic HIV-1 variants from brain demonstrate altera- tions in the way gp120 engages both CD4 and CCR5. J. Leukoc. Biol., 2013, Vol. 93, pp.113–126.</mixed-citation><mixed-citation xml:lang="en">Salimi H., Roche M., Webb N., Gray L.R., Chikere K., Sterjovski J., Ellett A. Macrophage-tropic HIV-1 variants from brain demonstrate altera- tions in the way gp120 engages both CD4 and CCR5. J. Leukoc. Biol., 2013, Vol. 93, pp.113–126.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Schlub T.E., Grimm A.J., Smyth R.P., Cromer D., Chopra A., Mallal S. Fifteen to twenty percent of HIV substitution mutations are associated with recombination. J. Virol., 2014, Vol. 88, pp. 3837–3849.</mixed-citation><mixed-citation xml:lang="en">Schlub T.E., Grimm A.J., Smyth R.P., Cromer D., Chopra A., Mallal S. Fifteen to twenty percent of HIV substitution mutations are associated with recombination. J. Virol., 2014, Vol. 88, pp. 3837–3849.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Song H., Pavlicek J.W., Cai F., Bhattacharya T., Li H., Iyer S.S., Bar K.J. Impact of immune escape mutations on HIV-1 ﬁtness in the context of the cognate transmitted/founder genome. Retrovirology, 2012, Vol. 9, pp. 89–103.</mixed-citation><mixed-citation xml:lang="en">Song H., Pavlicek J.W., Cai F., Bhattacharya T., Li H., Iyer S.S., Bar K.J. Impact of immune escape mutations on HIV-1 ﬁtness in the context of the cognate transmitted/founder genome. Retrovirology, 2012, Vol. 9, pp. 89–103.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Rodrigo A.G., Shpaer E.G., Delwart E.L., Iversen A.K.N., Gallo M.V., Brojatsch J., Hirsch M.S. Coalescent estimates of HIV-1 generation time in vivo. Proc. Nati. Acad. Sci., USA, 1999, Vol. 96, pp. 2187–2191.</mixed-citation><mixed-citation xml:lang="en">Rodrigo A.G., Shpaer E.G., Delwart E.L., Iversen A.K.N., Gallo M.V., Brojatsch J., Hirsch M.S. Coalescent estimates of HIV-1 generation time in vivo. Proc. Nati. Acad. Sci., USA, 1999, Vol. 96, pp. 2187–2191.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Burg D., Rong L., Neumann A.U., Dahari H. Mathematical modeling of viral kinetics under immune control during primary HIV-1 infection. J. Theor. Biol., 2009, Vol. 259, No. 4, pp. 751–759.</mixed-citation><mixed-citation xml:lang="en">Burg D., Rong L., Neumann A.U., Dahari H. Mathematical modeling of viral kinetics under immune control during primary HIV-1 infection. J. Theor. Biol., 2009, Vol. 259, No. 4, pp. 751–759.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Alizon S., Magnus C. Modelling the course of an HIV infection: insights from ecology and evolution. Viruses, 2012, Vol. 4, No. 10, pp. 1984– 2013.</mixed-citation><mixed-citation xml:lang="en">Alizon S., Magnus C. Modelling the course of an HIV infection: insights from ecology and evolution. Viruses, 2012, Vol. 4, No. 10, pp. 1984– 2013.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Pawelek K.A., Liu S., Pahlevani F., Rong L. A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data. Math. Biosci., 2012, Vol. 235, No. 1, pp. 98–109.</mixed-citation><mixed-citation xml:lang="en">Pawelek K.A., Liu S., Pahlevani F., Rong L. A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data. Math. Biosci., 2012, Vol. 235, No. 1, pp. 98–109.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Smith N., Mlcochova P., Watters S.A., Aasa-Chapman M.M., Rabin N., Moore S. Proof-of-principle for immune control of global HIV-1 reacti- vation in vivo. Clin. Infect. Dis., 2015, Vol. 61, pp. 120–128.</mixed-citation><mixed-citation xml:lang="en">Smith N., Mlcochova P., Watters S.A., Aasa-Chapman M.M., Rabin N., Moore S. Proof-of-principle for immune control of global HIV-1 reacti- vation in vivo. Clin. Infect. Dis., 2015, Vol. 61, pp. 120–128.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Zarei H., Kamyad A.V., Heydari A.A. Fuzzy modeling and control of HIV infection. Comput. Math. Methods Med., 2012, Vol. 2012, pp. 1–17.</mixed-citation><mixed-citation xml:lang="en">Zarei H., Kamyad A.V., Heydari A.A. Fuzzy modeling and control of HIV infection. Comput. Math. Methods Med., 2012, Vol. 2012, pp. 1–17.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Dolezal J., Hraba T. Mathematical modelling of chemotherapy in HIV infection. Folia Biologica, 1994, Vol. 40, No. 3, pp. 103–111.</mixed-citation><mixed-citation xml:lang="en">Dolezal J., Hraba T. Mathematical modelling of chemotherapy in HIV infection. Folia Biologica, 1994, Vol. 40, No. 3, pp. 103–111.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Donahue D.A., Sloan R.D., Bjorn D.K. Stage-Dependent Inhibition of HIV-1 Replication by Antiretroviral Drugs in Cell Culture. Antimicrob. Agents Chemother., 2010, Vol. 54, No. 3, pp. 1047–1054.</mixed-citation><mixed-citation xml:lang="en">Donahue D.A., Sloan R.D., Bjorn D.K. Stage-Dependent Inhibition of HIV-1 Replication by Antiretroviral Drugs in Cell Culture. Antimicrob. Agents Chemother., 2010, Vol. 54, No. 3, pp. 1047–1054.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Vergu E., Mallet A., Golmard J.-L. Available clinical markers of treatment outcome integrated in mathematical models to guide therapy in HIV infection. J. Antimicrob. Chemother., 2004, Vol. 53, pp. 140–143.</mixed-citation><mixed-citation xml:lang="en">Vergu E., Mallet A., Golmard J.-L. Available clinical markers of treatment outcome integrated in mathematical models to guide therapy in HIV infection. J. Antimicrob. Chemother., 2004, Vol. 53, pp. 140–143.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Fung I.C.-H., Gambhir M., Sighem A., de Wolf F., Garnett G.P. The clinical interpretation of viral blips in HIV patients receiving antiviral trea- tment: are we ready to infer poor adherence? J. Acquir. Immune Deﬁc. Syndr., 2012, Vol. 60, No. 1, pp. 5–11.</mixed-citation><mixed-citation xml:lang="en">Fung I.C.-H., Gambhir M., Sighem A., de Wolf F., Garnett G.P. The clinical interpretation of viral blips in HIV patients receiving antiviral trea- tment: are we ready to infer poor adherence? J. Acquir. Immune Deﬁc. Syndr., 2012, Vol. 60, No. 1, pp. 5–11.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Perelson A.S., Deeks S.G. Drug effectiveness explained: the mathematics of antiviral agents for HIV. Sci. Transatlantional Med., 2011, Vol. 3, No. 91, pp. 30.</mixed-citation><mixed-citation xml:lang="en">Perelson A.S., Deeks S.G. Drug effectiveness explained: the mathematics of antiviral agents for HIV. Sci. Transatlantional Med., 2011, Vol. 3, No. 91, pp. 30.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Supervie V., García-Lerma J.G., Heneine W., Blower S. HIV, transmitted drug resistance, and the paradox of preexposure prophylaxis. Proc. Nati. Acad. Sci., USA, 2010, Vol. 107, pp. 12381–12386.</mixed-citation><mixed-citation xml:lang="en">Supervie V., García-Lerma J.G., Heneine W., Blower S. HIV, transmitted drug resistance, and the paradox of preexposure prophylaxis. Proc. Nati. Acad. Sci., USA, 2010, Vol. 107, pp. 12381–12386.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Guo D., Zhang G., Wysocki T.A., Wysocki B.J., Gelbard H.A., Liu X.M. Endosomal trafficking of nanoformulated antiretroviral therapy facilitates drug particle carriage and HIV clearance. J. Virol., 2014, Vol. 88, pp. 9504–9513.</mixed-citation><mixed-citation xml:lang="en">Guo D., Zhang G., Wysocki T.A., Wysocki B.J., Gelbard H.A., Liu X.M. Endosomal trafficking of nanoformulated antiretroviral therapy facilitates drug particle carriage and HIV clearance. J. Virol., 2014, Vol. 88, pp. 9504–9513.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Petravic J., Martyushev A., Reece J.C., Kent S.J., Davenport M.P. Modeling the timing of antilatency drug administration during HIV treatment. J. Virol., 2014, Vol. 88, pp. 14050–14056.</mixed-citation><mixed-citation xml:lang="en">Petravic J., Martyushev A., Reece J.C., Kent S.J., Davenport M.P. Modeling the timing of antilatency drug administration during HIV treatment. J. Virol., 2014, Vol. 88, pp. 14050–14056.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Glaubius R.L., Parikh U.M., Hood G., Penrose K.J., Parikh U.M., Mellors J.W., Bendavid E., Abbas U.L. Deciphering the effects of injectable pre-exposure prophylaxis for combination HIV prevention. Open Forum Infect. Dis., 2016, Vol. 10, pp. 1093–1127.</mixed-citation><mixed-citation xml:lang="en">Glaubius R.L., Parikh U.M., Hood G., Penrose K.J., Parikh U.M., Mellors J.W., Bendavid E., Abbas U.L. Deciphering the effects of injectable pre-exposure prophylaxis for combination HIV prevention. Open Forum Infect. Dis., 2016, Vol. 10, pp. 1093–1127.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Frank M., Kleist M., Kunz A., Harms G., Schütte C. Quantifying the impact of nevirapine-based prophylaxis strategies to prevent mother-to-child transmission of HIV-1: a combined pharmacokinetic, pharmacodynamic, and viral dynamic analysis to predict clinical outcomes. Antimicrob. Agents Chemother., 2011, Vol. 55, No. 12, pp. 5529–5540.</mixed-citation><mixed-citation xml:lang="en">Frank M., Kleist M., Kunz A., Harms G., Schütte C. Quantifying the impact of nevirapine-based prophylaxis strategies to prevent mother-to-child transmission of HIV-1: a combined pharmacokinetic, pharmacodynamic, and viral dynamic analysis to predict clinical outcomes. Antimicrob. Agents Chemother., 2011, Vol. 55, No. 12, pp. 5529–5540.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Беляков Н.А., Розенталь В.В., Дементьева Н.Е., Виноградова Т.Н., Сизова Н.В. Моделирование и общие закономерности циркуляции суб- типов и рекомбинантных форм ВИЧ // ВИЧ-инфекция и иммуносупрессии. 2012. Т. 4, № 2. С. 7–18. [Belyakov N.A., Rosental V.V., Dementjeva N.E., Vinogradova T.N., Sizova N.V. Mathematical modelling and general trends of circulation of HIV subtypes and recombinant forms. HIV Infection and Immunosuppressive Disorders, 2012, Vol. 4, No. 2, рр. 7–18 (In Russ.)].</mixed-citation><mixed-citation xml:lang="en">Беляков Н.А., Розенталь В.В., Дементьева Н.Е., Виноградова Т.Н., Сизова Н.В. Моделирование и общие закономерности циркуляции суб- типов и рекомбинантных форм ВИЧ // ВИЧ-инфекция и иммуносупрессии. 2012. Т. 4, № 2. С. 7–18. [Belyakov N.A., Rosental V.V., Dementjeva N.E., Vinogradova T.N., Sizova N.V. Mathematical modelling and general trends of circulation of HIV subtypes and recombinant forms. HIV Infection and Immunosuppressive Disorders, 2012, Vol. 4, No. 2, рр. 7–18 (In Russ.)].</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">May R., Anderson R.M. Transmission dinamics of HIV infection. Nature, 1987, Vol. 326, pp. 137–142.</mixed-citation><mixed-citation xml:lang="en">May R., Anderson R.M. Transmission dinamics of HIV infection. Nature, 1987, Vol. 326, pp. 137–142.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Романюха А.А., Носова Е.А. Модель распространения ВИЧ-инфекции в результате социальной дезадаптации // Управление большими системами, 2011. Выпуск 34. М.: ИПУ РАН. С. 227–253. [Romanyukha A.A., Nosova E.A. Model of the spread of HIV infection as a result of social disadaptation. Management of Large Systems, 2011, Issue 34, Moscow: IPP RAS, рр. 227–253 (In Russ.)].</mixed-citation><mixed-citation xml:lang="en">Романюха А.А., Носова Е.А. Модель распространения ВИЧ-инфекции в результате социальной дезадаптации // Управление большими системами, 2011. Выпуск 34. М.: ИПУ РАН. С. 227–253. [Romanyukha A.A., Nosova E.A. Model of the spread of HIV infection as a result of social disadaptation. Management of Large Systems, 2011, Issue 34, Moscow: IPP RAS, рр. 227–253 (In Russ.)].</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Wallace R. Social disintegration and the spread of AIDS: thresholds for propagation along «sociogeographic» networks. Soc. Sci. Med., 1991, Vol. 33, No. 10, pp. 1155–1162.</mixed-citation><mixed-citation xml:lang="en">Wallace R. Social disintegration and the spread of AIDS: thresholds for propagation along «sociogeographic» networks. Soc. Sci. Med., 1991, Vol. 33, No. 10, pp. 1155–1162.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Greenhalgh D., Hay G. Mathematical modelling of the spread of HIV/AIDS amongst injecting drug users. Math. Med. Biol., 1995, Vol. 14, No. 1, pp. 11–38.</mixed-citation><mixed-citation xml:lang="en">Greenhalgh D., Hay G. Mathematical modelling of the spread of HIV/AIDS amongst injecting drug users. Math. Med. Biol., 1995, Vol. 14, No. 1, pp. 11–38.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Vickerman P., Ndowa F., O’Farrell N., Steen R., Alary M., Delany-Moretlwe S. Using mathematical modelling to estimate the impact of periodic presumptive treatment on the transmission of sexually transmitted infections and HIV among female sex workers. Sex. Transm. Infect., 2010, Vol. 86, pp. 163–168.</mixed-citation><mixed-citation xml:lang="en">Vickerman P., Ndowa F., O’Farrell N., Steen R., Alary M., Delany-Moretlwe S. Using mathematical modelling to estimate the impact of periodic presumptive treatment on the transmission of sexually transmitted infections and HIV among female sex workers. Sex. Transm. Infect., 2010, Vol. 86, pp. 163–168.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Sighem A., Vidondo B., Glass T.R., Bucher H.C., Vernazza P., Gebhardt M. Resurgence of HIV infection among men who have sex with men in Switzerland: mathematical modelling study. PLoS, 2012, Vol. 7, No. 9, pp. e44819.</mixed-citation><mixed-citation xml:lang="en">Sighem A., Vidondo B., Glass T.R., Bucher H.C., Vernazza P., Gebhardt M. Resurgence of HIV infection among men who have sex with men in Switzerland: mathematical modelling study. PLoS, 2012, Vol. 7, No. 9, pp. e44819.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Quinlivan E.B., Patel S.N., Grodensky C.A., Golin C.E., Tien H., Hobbs M.M. Modeling the impact of Trichomonas vaginalis infection on HIV transmission in HIV-infected individuals in medical care. Sex. Transm. Dis., 2012, Vol. 39, No. 9, pp. 671–677.</mixed-citation><mixed-citation xml:lang="en">Quinlivan E.B., Patel S.N., Grodensky C.A., Golin C.E., Tien H., Hobbs M.M. Modeling the impact of Trichomonas vaginalis infection on HIV transmission in HIV-infected individuals in medical care. Sex. Transm. Dis., 2012, Vol. 39, No. 9, pp. 671–677.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Ronn M., Garnett G., Hughes G. et al. Lymphogranuloma venereum, HIV and high-risk behaviour: ﬁndings from LGV enhanced surveillance and mathematical modeling. Sex. Transm. Infect., 2011, Vol. 87, pp. A48.</mixed-citation><mixed-citation xml:lang="en">Ronn M., Garnett G., Hughes G. et al. Lymphogranuloma venereum, HIV and high-risk behaviour: ﬁndings from LGV enhanced surveillance and mathematical modeling. Sex. Transm. Infect., 2011, Vol. 87, pp. A48.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Mills H.L., Cohen T., Colijn C. Modelling the performance of isoniazid preventive therapy for reducing tuberculosis in HIV endemic settings: the effects of network structure. J. R. Soc. Interface, 2011, Vol. 8, pp. 1510–1520.</mixed-citation><mixed-citation xml:lang="en">Mills H.L., Cohen T., Colijn C. Modelling the performance of isoniazid preventive therapy for reducing tuberculosis in HIV endemic settings: the effects of network structure. J. R. Soc. Interface, 2011, Vol. 8, pp. 1510–1520.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Akra O.M., Oyejola B.A. Mathematical modeling of the epidemiology and the transmission dynamics of HIV/AIDS infections in Nigeria. Afr. J. Med. Sci., 2010, Vol. 39, рр. 73–80.</mixed-citation><mixed-citation xml:lang="en">Akra O.M., Oyejola B.A. Mathematical modeling of the epidemiology and the transmission dynamics of HIV/AIDS infections in Nigeria. Afr. J. Med. Sci., 2010, Vol. 39, рр. 73–80.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Benotsch E.G., Mikytuck J.J., Pinkerton S.D. Sexual risk and HIV acquisition among men who have sex with men travelers to Key West, Florida: a mathematical modeling analysis. AIDS Patient Care STDs., 2006, Vol. 20, No. 8, pp. 549–556.</mixed-citation><mixed-citation xml:lang="en">Benotsch E.G., Mikytuck J.J., Pinkerton S.D. Sexual risk and HIV acquisition among men who have sex with men travelers to Key West, Florida: a mathematical modeling analysis. AIDS Patient Care STDs., 2006, Vol. 20, No. 8, pp. 549–556.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Prudden H., Foss A., Mitchell K., Рickles М., Ramesh B. Using mathematical modelling to investigate the role of the hidden «population of men who have sex with men (MSM) on the HIV epidemic in Southern India». Sex. Transm. Infect., 2011, Vol. 87, рр. A168.</mixed-citation><mixed-citation xml:lang="en">Prudden H., Foss A., Mitchell K., Рickles М., Ramesh B. Using mathematical modelling to investigate the role of the hidden «population of men who have sex with men (MSM) on the HIV epidemic in Southern India». Sex. Transm. Infect., 2011, Vol. 87, рр. A168.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Розенталь В.В., Беляков Н.А., Пантелеева О.В. Подходы к прогнозированию эпидемии ВИЧ-инфекции // ВИЧ-инфекция и иммуносупрессии. 2010. Т. 2, № 3. С. 7–15. [Rozental V.V., Beliakov N.A., Panteleeva O.V. Аpproaches to forecasting of HIV epidemic. HIV Infection and Immunosuppressive Disorders, 2010, Vol. 2, No. 6, рр. 7–15 (In Russ.)].</mixed-citation><mixed-citation xml:lang="en">Розенталь В.В., Беляков Н.А., Пантелеева О.В. Подходы к прогнозированию эпидемии ВИЧ-инфекции // ВИЧ-инфекция и иммуносупрессии. 2010. Т. 2, № 3. С. 7–15. [Rozental V.V., Beliakov N.A., Panteleeva O.V. Аpproaches to forecasting of HIV epidemic. HIV Infection and Immunosuppressive Disorders, 2010, Vol. 2, No. 6, рр. 7–15 (In Russ.)].</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Компьютерная программа для прогнозирования ВИЧ/СПИДа и анализа социально-экономических последствий СПИДа, (2016). URL: http://www.healthpolicyinitiative.com/index.cfm?id=software&amp;get=Spectrum.</mixed-citation><mixed-citation xml:lang="en">Компьютерная программа для прогнозирования ВИЧ/СПИДа и анализа социально-экономических последствий СПИДа, (2016). URL: http://www.healthpolicyinitiative.com/index.cfm?id=software&amp;get=Spectrum.</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Rollins N., Mahy M., Becquet R., Kuhn L., Creek T., Mofenson L. Estimates of peripartum and postnatal mother-to-child transmission probabi- lities of HIV for use in Spectrum and other population-based models. Sex. Transm. Infect., 2012, Vol. 88, рр. 44–51.</mixed-citation><mixed-citation xml:lang="en">Rollins N., Mahy M., Becquet R., Kuhn L., Creek T., Mofenson L. Estimates of peripartum and postnatal mother-to-child transmission probabi- lities of HIV for use in Spectrum and other population-based models. Sex. Transm. Infect., 2012, Vol. 88, рр. 44–51.</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Нешумаев Д.А., Малышева М.А., Шевченко Н.М., Кокотюха Ю.А, Мейрманова Е.М., Уланова Т.И., Загрядская Ю.Е. Моделирование динамики эпидемии ВИЧ-инфекции с использованием частоты встречаемости ранних случаев заражения // ВИЧ-инфекция и иммуносупрессии. 2016. Т. 8, № 2. С. 53–60. [Neshumayev D.A., Malysheva M.A., Shevchenko N.M., Kokotyukha Yu.A., Meyrmanova Е.M., Ulanova T.I., Zagryadskaya Yu.Е. Modeling the dynamics of HIV epidemic based on the incidence of early HIV cases. HIV Infection and Immunosuppressive Disorders, 2016, Vol. 8, No. 2, рр. 53–60 (In Russ.)].</mixed-citation><mixed-citation xml:lang="en">Нешумаев Д.А., Малышева М.А., Шевченко Н.М., Кокотюха Ю.А, Мейрманова Е.М., Уланова Т.И., Загрядская Ю.Е. Моделирование динамики эпидемии ВИЧ-инфекции с использованием частоты встречаемости ранних случаев заражения // ВИЧ-инфекция и иммуносупрессии. 2016. Т. 8, № 2. С. 53–60. [Neshumayev D.A., Malysheva M.A., Shevchenko N.M., Kokotyukha Yu.A., Meyrmanova Е.M., Ulanova T.I., Zagryadskaya Yu.Е. Modeling the dynamics of HIV epidemic based on the incidence of early HIV cases. HIV Infection and Immunosuppressive Disorders, 2016, Vol. 8, No. 2, рр. 53–60 (In Russ.)].</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Wagner B.G., Blower S. Universal access to HIV treatment versus universal «test and treat»: transmission, drug resistance &amp; treatment costs. PLoS, 2012, Vol. 7, No. 9, рр. e41212.</mixed-citation><mixed-citation xml:lang="en">Wagner B.G., Blower S. Universal access to HIV treatment versus universal «test and treat»: transmission, drug resistance &amp; treatment costs. PLoS, 2012, Vol. 7, No. 9, рр. e41212.</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Бобрик А.В. Профилактика ВИЧ среди потребителей наркотиков в российских городах. Анализ экономической эффективности // Российский семейный врач. 2002. Т. 4, № 6. С. 30–36. [Bobrik A.V. Prevention of HIV among drug users in Russian cities. Analysis of economic efficiency. Russian Family Doctor, 2002, Vol. 4, No. 6, рр. 30–36 (In Russ.)].</mixed-citation><mixed-citation xml:lang="en">Бобрик А.В. Профилактика ВИЧ среди потребителей наркотиков в российских городах. Анализ экономической эффективности // Российский семейный врач. 2002. Т. 4, № 6. С. 30–36. [Bobrik A.V. Prevention of HIV among drug users in Russian cities. Analysis of economic efficiency. Russian Family Doctor, 2002, Vol. 4, No. 6, рр. 30–36 (In Russ.)].</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Boily M.-C., Lowndes C.M., Vickerman P., Kumaranayake L., Blanchard J., Moses S., Ramesh B.M., Pickles M. Evaluating large-scale HIV pre- vention interventions: study design for an integrated mathematical modelling approach. Sex. Transm. Infect., 2007, Vol. 83, pp. 582–589.</mixed-citation><mixed-citation xml:lang="en">Boily M.-C., Lowndes C.M., Vickerman P., Kumaranayake L., Blanchard J., Moses S., Ramesh B.M., Pickles M. Evaluating large-scale HIV pre- vention interventions: study design for an integrated mathematical modelling approach. Sex. Transm. Infect., 2007, Vol. 83, pp. 582–589.</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Heaton L.M., Bouey P.D., Fu J., Stover J., Fowler T.B., Lyerla R. Estimating the impact of the US President’s emergency plan for AIDS relief on HIV treatment and prevention programmes in Africa. Sex. Transm. Infect., 2015, Vol. 91, pp. 615–620.</mixed-citation><mixed-citation xml:lang="en">Heaton L.M., Bouey P.D., Fu J., Stover J., Fowler T.B., Lyerla R. Estimating the impact of the US President’s emergency plan for AIDS relief on HIV treatment and prevention programmes in Africa. Sex. Transm. Infect., 2015, Vol. 91, pp. 615–620.</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Wilson D.P., Fairley C.K., Sankar D., Williams H., Keen P., Read T.R. Replacement of conventional HIV testing with rapid testing: mathematical modelling to predict the impact on further HIV transmission between men. Sex. Transm. Infect., 2011, Vol. 87, pp. 588–593.</mixed-citation><mixed-citation xml:lang="en">Wilson D.P., Fairley C.K., Sankar D., Williams H., Keen P., Read T.R. Replacement of conventional HIV testing with rapid testing: mathematical modelling to predict the impact on further HIV transmission between men. Sex. Transm. Infect., 2011, Vol. 87, pp. 588–593.</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">Cambiano V., Ford D., Mabugu T., Napierala M.S., Miners A., Mugurungi O. Assessment of the potential impact and cost-effectiveness of self-testing for HIV in low-income countries. J. Infect. Dis., 2015, Vol. 212, pp. 570–577.</mixed-citation><mixed-citation xml:lang="en">Cambiano V., Ford D., Mabugu T., Napierala M.S., Miners A., Mugurungi O. Assessment of the potential impact and cost-effectiveness of self-testing for HIV in low-income countries. J. Infect. Dis., 2015, Vol. 212, pp. 570–577.</mixed-citation></citation-alternatives></ref><ref id="cit46"><label>46</label><citation-alternatives><mixed-citation xml:lang="ru">Coco A. The cost-effectiveness of expanded testing for primary HIV infection. Ann. Fam. Med., 2005, Vol. 3, No. 5, pp. 391–399.</mixed-citation><mixed-citation xml:lang="en">Coco A. The cost-effectiveness of expanded testing for primary HIV infection. Ann. Fam. Med., 2005, Vol. 3, No. 5, pp. 391–399.</mixed-citation></citation-alternatives></ref><ref id="cit47"><label>47</label><citation-alternatives><mixed-citation xml:lang="ru">Лонг Э.Ф., Брандо М.Л., Гелвин К.М., Виниченко Т., Толе С.П., Шварц А. Оценка эффективности и экономической эффективности стратегии расширенной антиретровирусной терапии в Санкт-Петербурге, Россия // AIDS. 2006. Т. 20. С. 2207–2215. [Long E.F., Brandeau M.L., Galvin K.M., Vinichenko T., Tole S.P., Schwartz A. Effectiveness and cost-effectiveness of strategies to expand antiretroviral the- rapy in St. Petersburg, Russia. AIDS, 2006, Vol. 20, рр. 2207–2215 (In Russ.)].</mixed-citation><mixed-citation xml:lang="en">Лонг Э.Ф., Брандо М.Л., Гелвин К.М., Виниченко Т., Толе С.П., Шварц А. Оценка эффективности и экономической эффективности стратегии расширенной антиретровирусной терапии в Санкт-Петербурге, Россия // AIDS. 2006. Т. 20. С. 2207–2215. [Long E.F., Brandeau M.L., Galvin K.M., Vinichenko T., Tole S.P., Schwartz A. Effectiveness and cost-effectiveness of strategies to expand antiretroviral the- rapy in St. Petersburg, Russia. AIDS, 2006, Vol. 20, рр. 2207–2215 (In Russ.)].</mixed-citation></citation-alternatives></ref><ref id="cit48"><label>48</label><citation-alternatives><mixed-citation xml:lang="ru">Stover J. Inﬂuence of mathematical modeling of HIV and AIDS on policies and programs in the developing world. Sex. Transm. Dis., 2000, Vol. 27, No. 10, pp. 572–578.</mixed-citation><mixed-citation xml:lang="en">Stover J. Inﬂuence of mathematical modeling of HIV and AIDS on policies and programs in the developing world. Sex. Transm. Dis., 2000, Vol. 27, No. 10, pp. 572–578.</mixed-citation></citation-alternatives></ref><ref id="cit49"><label>49</label><citation-alternatives><mixed-citation xml:lang="ru">Рюль К., Покровский В.В., Виноградов В. Экономические последствия распространения ВИЧ-инфекции в России. 2002. URL: http://www.ilo.org/moscow/news/WCMS_245560/lang-ru/index.htm (In Russ.).</mixed-citation><mixed-citation xml:lang="en">Рюль К., Покровский В.В., Виноградов В. Экономические последствия распространения ВИЧ-инфекции в России. 2002. URL: http://www.ilo.org/moscow/news/WCMS_245560/lang-ru/index.htm (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit50"><label>50</label><citation-alternatives><mixed-citation xml:lang="ru">Galletly C.L., Pinkerton S.D. Preventing HIV transmission via HIV exposure laws: applying logic and mathematical modeling to compare statu- tory approaches to penalizing undisclosed exposure to HIV. J. Law. Med. Ethics., 2008, Vol. 36, No. 3, pp. 577–584.</mixed-citation><mixed-citation xml:lang="en">Galletly C.L., Pinkerton S.D. Preventing HIV transmission via HIV exposure laws: applying logic and mathematical modeling to compare statu- tory approaches to penalizing undisclosed exposure to HIV. J. Law. Med. Ethics., 2008, Vol. 36, No. 3, pp. 577–584.</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>
