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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">vestifm</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Национальной академии наук Беларуси. Серия физико-математических наук</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-2430</issn><issn pub-type="epub">2524-2415</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.29235/1561-2430-2026-62-2-125-135</article-id><article-id custom-type="elpub" pub-id-type="custom">vestifm-902</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>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Генерация малогрупповой библиотеки для активной зоны ВВЭР-1200 с использованием Монте-Карло кода Serpent</article-title><trans-title-group xml:lang="en"><trans-title>The few-group data library generation for a VVER-1200 core using the Monte Carlo code Serpent</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>Бабичев</surname><given-names>Л. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Babichev</surname><given-names>L. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Бабичев Леонид Филиппович – кандидат физи коматематических наук, заведующий лабораторией моделирования и суперкомпьютерных технологий в ядерной физике и энергетике</p><p>ул. Академика Красина, 99, 220109, Минск</p></bio><bio xml:lang="en"><p>Leonid F. Babichev – Ph. D. (Physics and Mathematics), Head of the Laboratory of Simulations and Supercomputing Technologies in Nuclear Physics and Power Engineering</p><p> </p></bio><email xlink:type="simple">babichev@sosny.bas-net.by</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>Руденков</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Rudziankou</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Руденков Ивантон Владимирович – научный сотрудник лаборатории моделирования и суперкомпьютерных технологий в ядерной физике и энергетике</p><p>ул. Академика Красина, 99, 220109, Минск</p></bio><bio xml:lang="en"><p>Ivanton V. Rudziankou – Researcher of the Laboratory of Simulations and Supercomputing Technologies in Nuclear Physics and Power Engineering</p><p> </p></bio><email xlink:type="simple">ivanton.rudziankou@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Объединенный институт энергетических и ядерных исследований –  Сосны Национальной академии наук Беларуси</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Joint Institute for Power and Nuclear Research – Sosny of the National Academy of Sciences of Belarus</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>10</day><month>07</month><year>2026</year></pub-date><volume>62</volume><issue>2</issue><fpage>125</fpage><lpage>135</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Бабичев Л.Ф., Руденков И.В., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Бабичев Л.Ф., Руденков И.В.</copyright-holder><copyright-holder xml:lang="en">Babichev L.F., Rudziankou I.V.</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://vestifm.belnauka.by/jour/article/view/902">https://vestifm.belnauka.by/jour/article/view/902</self-uri><abstract><p>Представлены результаты комплексного исследования, направленного на разработку и валидацию методологии создания двухгрупповых библиотек сечений для реакторного кода DYN3D в формульном формате (IWQS = 2) с использованием прецизионного Монте-Карло кода Serpent. Исследование ориентировано на ядерный реактор ВВЭР-1200 Белорусской АЭС. Методика предполагает расчет двухгрупповых сечений и других констант для различных состояний реактора. Показано, что наибольшее отклонение для k∞ у всех типов тепловыделяющих сборок (ТВС) при расчете по коду DYN3D с полученной библиотекой отличается от прецизионного расчета по Монте-Карло коду Serpent на величину порядка 1000 ppm. Этот уровень точности является достаточным для проведения расчетов с данной библиотекой по анализу безопасности работы реактора ВВЭР-1200 в различных условиях эксплуатации. Проведен расчет концентраций борной кислоты в процессе кампании для первой и стационарной топливных загрузок реактора и распределения энерговыделения в начале кампании. Полученные результаты подчеркивают надежность и эффективность разработанной методики.</p></abstract><trans-abstract xml:lang="en"><p>This article presents the results of a comprehensive investigation focused on developing and validating a methodology for creating two-group cross-section libraries for the DYN3D reactor code in the formula format (IWQS = 2), utilizing the high-precision Monte Carlo code Serpent. The study specifically targets the VVER-1200 nuclear reactor at the Belarusian Nuclear Power Plant. The methodology involves calculating two-group cross-sections and other constants for various reactor states. It is demonstrated that the largest deviation for k∞ for all types of fuel assemblies when calculated using the DYN3D code with the obtained library differs from precise Monte Carlo Serpent calculations by approximately 1000 ppm. This level of precision is deemed sufficient for safety analysis calculations using this library for the VVER-1200 reactor. Calculations of boric acid concentrations during the reactor’s first and stationary fuel cycles were performed, along with the distribution of energy release at the beginning of the campaign. The obtained results underscore the reliability and effectiveness of the developed methodology.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>анализ безопасности реактора</kwd><kwd>анализ аварий</kwd><kwd>критерии приемки</kwd><kwd>компьютерное моделирование</kwd><kwd>диффузионное приближение</kwd><kwd>двухгрупповые сечения</kwd><kwd>Монте-Карло моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>reactor safety analysis</kwd><kwd>accident analysis</kwd><kwd>acceptance criteria</kwd><kwd>computer simulation</kwd><kwd>diffusion approximation</kwd><kwd>two-group cross sections</kwd><kwd>Monte Carlo simulation</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Авторы выражают благодарность Е. С. Горохову за техническую поддержку в расчетах и разработку компьютерных программ для этого исследования.</funding-statement><funding-statement xml:lang="en">Authors express their gratitude to Ya. S. Harokhau for the technical support in calculations and the development of computer programs for this research.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Grundmann U., Rohde U., Mittag S., Kliem S. DYN3D version 3.2 code for calculation of transients in light water reactors (LWR) with hexagonal or quadratic fuel elements. Dresden, Forschungszentrum Rossendorf Publ., 2005. 146 p. Available at: https://www.hzdr.de/publications/PublDoc-750.pdf (accessed 10 January 2023).</mixed-citation><mixed-citation xml:lang="en">Grundmann U., Rohde U., Mittag S., Kliem S. DYN3D version 3.2 code for calculation of transients in light water reactors (LWR) with hexagonal or quadratic fuel elements. Dresden, Forschungszentrum Rossendorf Publ., 2005. 146 p. Available at: https://www.hzdr.de/publications/PublDoc-750.pdf (accessed 10 January 2023).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Rohde U., Kliem S., Grundmann U., Baier S., Bilodid Y., Duerigen S., Fridman E., Gommlich A., Grahn A., Holt L., Kozmenkov Ya., Mittag S. The reactor dynamics code DYN3D – models, validation and applications. Progress in Nuclear Energy, 2016, vol. 89, pp. 170–190. https://doi.org/10.1016/j.pnucene.2016.02.013</mixed-citation><mixed-citation xml:lang="en">Rohde U., Kliem S., Grundmann U., Baier S., Bilodid Y., Duerigen S., Fridman E., Gommlich A., Grahn A., Holt L., Kozmenkov Ya., Mittag S. The reactor dynamics code DYN3D – models, validation and applications. Progress in Nuclear Energy, 2016, vol. 89, pp. 170–190. https://doi.org/10.1016/j.pnucene.2016.02.013</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Leppänen J., Pusa M. Burnup calculation capability in the PSG2/serpent Monte Carlo reactor physics code. Proceedings of the International Conference on Mathematics Computational Methods and Reactor Physics (M&amp;C 2009). Saratoga Springs, New York, May 3–7, 2009. New York, 2009, pp. 1662–1673. Available at: https://publications.vtt.fi/julkaisut/muut/2009/MC2009.pdf (accessed 10 January 2023).</mixed-citation><mixed-citation xml:lang="en">Leppänen J., Pusa M. Burnup calculation capability in the PSG2/serpent Monte Carlo reactor physics code. Proceedings of the International Conference on Mathematics Computational Methods and Reactor Physics (M&amp;C 2009). Saratoga Springs, New York, May 3–7, 2009. New York, 2009, pp. 1662–1673. Available at: https://publications.vtt.fi/julkaisut/muut/2009/MC2009.pdf (accessed 10 January 2023).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Leppänen J., Pusa M., Viitanen T., Valtavirta V., Kaltiaisenaho T. The Serpent Monte Carlo code: Status, development and applications in 2013. Annals of Nuclear Energy, 2015, vol. 82, pp. 142–150. https://doi.org/10.1016/j.anucene.2014.08.024</mixed-citation><mixed-citation xml:lang="en">Leppänen J., Pusa M., Viitanen T., Valtavirta V., Kaltiaisenaho T. The Serpent Monte Carlo code: Status, development and applications in 2013. Annals of Nuclear Energy, 2015, vol. 82, pp. 142–150. https://doi.org/10.1016/j.anucene.2014.08.024</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Piovezan P., Carluccio T., Domingos D. B., Rossi P. R., Mura L. F. On the use of Serpent Monte Carlo code to generate few group diffusion constants. Proceedings of the International Nuclear Atlantic Conference – INAC 2011. Belo Horizonte, MG, Brazil, October 24–28, 2011. Brasilia, 2011.</mixed-citation><mixed-citation xml:lang="en">Piovezan P., Carluccio T., Domingos D. B., Rossi P. R., Mura L. F. On the use of Serpent Monte Carlo code to generate few group diffusion constants. Proceedings of the International Nuclear Atlantic Conference – INAC 2011. Belo Horizonte, MG, Brazil, October 24–28, 2011. Brasilia, 2011.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Fridman E., Leppänen J. On the use of the Serpent Monte Carlo code for few-group cross section generation. Annals of Nuclear Energy, 2011, vol. 38, pp.1399–1405. https://doi.org/10.1016/j.anucene.2011.01.032</mixed-citation><mixed-citation xml:lang="en">Fridman E., Leppänen J. On the use of the Serpent Monte Carlo code for few-group cross section generation. Annals of Nuclear Energy, 2011, vol. 38, pp.1399–1405. https://doi.org/10.1016/j.anucene.2011.01.032</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Ovdiienko I., Ieremenko M., Kuchin A., Khalimonchuk V. Development of cross-section library for DYN3D code. Yaderna ta radіatsіina bezpeka = Nuclear and Radiation Safety, 2014, no. 4 (64), pp. 22–25 (in Ukrainian). https://doi.org/10.32918/nrs.2014.4(64).04</mixed-citation><mixed-citation xml:lang="en">Ovdiienko I., Ieremenko M., Kuchin A., Khalimonchuk V. Development of cross-section library for DYN3D code. Yaderna ta radіatsіina bezpeka = Nuclear and Radiation Safety, 2014, no. 4 (64), pp. 22–25 (in Ukrainian). https://doi.org/10.32918/nrs.2014.4(64).04</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Herman B. R., Forget B., Smith K., Aviles B. N. Improved diffusion coefficients generated from Monte Carlo codes. Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering – M&amp;C 2013. Sun Valley, Idaho, May 5–9, 2013. New York, 2013, pp. 2947–2961.</mixed-citation><mixed-citation xml:lang="en">Herman B. R., Forget B., Smith K., Aviles B. N. Improved diffusion coefficients generated from Monte Carlo codes. Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering – M&amp;C 2013. Sun Valley, Idaho, May 5–9, 2013. New York, 2013, pp. 2947–2961.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Hebert A. Applied Reactor Physics. Montreal, Ecole Polytechnique De Montreal Publ., 2009. 424 p.</mixed-citation><mixed-citation xml:lang="en">Hebert A. Applied Reactor Physics. Montreal, Ecole Polytechnique De Montreal Publ., 2009. 424 p.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Sánchez-Cervera S., García-Herranz N., Herrero J. J., Cabellos O. Optimization of multidimensional cross-section tables for few-group core calculations. Annals of Nuclear Energy, 2014, vol. 69, pp. 226–237. https://doi.org/10.1016/j.anucene.2014.02.013</mixed-citation><mixed-citation xml:lang="en">Sánchez-Cervera S., García-Herranz N., Herrero J. J., Cabellos O. Optimization of multidimensional cross-section tables for few-group core calculations. Annals of Nuclear Energy, 2014, vol. 69, pp. 226–237. https://doi.org/10.1016/j.anucene.2014.02.013</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Smith K. S. Nodal diffusion methods and lattice physics data in LWR analyses: Understanding numerous subtle details. Progress in Nuclear Energy, 2017, vol. 101, pp. 360–369. https://doi.org/10.1016/j.pnucene.2017.06.01</mixed-citation><mixed-citation xml:lang="en">Smith K. S. Nodal diffusion methods and lattice physics data in LWR analyses: Understanding numerous subtle details. Progress in Nuclear Energy, 2017, vol. 101, pp. 360–369. https://doi.org/10.1016/j.pnucene.2017.06.01</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Rudziankou I., Babichev L. DYN3D IWQS = 24 library generation using Monte Carlo code Serpent for VVER. Nonlinear Dynamics and Applications. Nonlinear Phenomena in Complex Systems: Proceedings of the 29th International Seminar, Minsk, May 18–21, 2022. Minsk, 2022, vol. 28, pp. 61–65.</mixed-citation><mixed-citation xml:lang="en">Rudziankou I., Babichev L. DYN3D IWQS = 24 library generation using Monte Carlo code Serpent for VVER. Nonlinear Dynamics and Applications. Nonlinear Phenomena in Complex Systems: Proceedings of the 29th International Seminar, Minsk, May 18–21, 2022. Minsk, 2022, vol. 28, pp. 61–65.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Babichev L. F., Harokhau Y. Few-group cross section library generation for using Serpent Monte Carlo code and multidimensional fitting. Nonlinear Dynamics and Applications. Nonlinear Phenomena in Complex Systems: Proceedings of the 26th International Seminar, Minsk, May 21–24, 2019. Minsk, 2019, vol. 25, pp. 70–73.</mixed-citation><mixed-citation xml:lang="en">Babichev L. F., Harokhau Y. Few-group cross section library generation for using Serpent Monte Carlo code and multidimensional fitting. Nonlinear Dynamics and Applications. Nonlinear Phenomena in Complex Systems: Proceedings of the 26th International Seminar, Minsk, May 21–24, 2019. Minsk, 2019, vol. 25, pp. 70–73.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Babichev L. F., Harochau Ja. S. Generation of few-group cross section library for reflector of VVER reactor with MCU-PD Monte Carlo code. Nonlinear Dynamics and Applications. Nonlinear Phenomena in Complex Systems: Proceedings of the 25th International Seminar, Minsk, May 21–23, 2018. Minsk, 2018, vol. 24, pp. 7–11.</mixed-citation><mixed-citation xml:lang="en">Babichev L. F., Harochau Ja. S. Generation of few-group cross section library for reflector of VVER reactor with MCU-PD Monte Carlo code. Nonlinear Dynamics and Applications. Nonlinear Phenomena in Complex Systems: Proceedings of the 25th International Seminar, Minsk, May 21–23, 2018. Minsk, 2018, vol. 24, pp. 7–11.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Usheva K. I., Kuten S. A., Khruschinsky A. A., Babichev L. F. Generation of XS library for the reflector of VVER reactor core using Monte Carlo code Serpent. Journal of Physics: Conference Series, 2017, vol. 781, art. ID 012029. https://doi.org/10.1088/1742-6596/781/1/012029</mixed-citation><mixed-citation xml:lang="en">Usheva K. I., Kuten S. A., Khruschinsky A. A., Babichev L. F. Generation of XS library for the reflector of VVER reactor core using Monte Carlo code Serpent. Journal of Physics: Conference Series, 2017, vol. 781, art. ID 012029. https://doi.org/10.1088/1742-6596/781/1/012029</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Dwiddar M. S., Badawi A. A., Abou-Gabal H. H., El-Osery I. A. From VVER-1000 to VVER-1200: investigation of the effect of the changes in core. PHYTRA 3 – The Third International Conference on Physics and Technology of Reactors and Applications. Tetouan, Morocco, May 12–14, 2014. Rabat, Morocco, 2014. 13 p. Available at: https://From_VVER-1000_to_VVER-1200_Investigation_of_the_effect_of_the_Changes_in_Core-libre.pdf (accessed 10 January 2023).</mixed-citation><mixed-citation xml:lang="en">Dwiddar M. S., Badawi A. A., Abou-Gabal H. H., El-Osery I. A. From VVER-1000 to VVER-1200: investigation of the effect of the changes in core. PHYTRA 3 – The Third International Conference on Physics and Technology of Reactors and Applications. Tetouan, Morocco, May 12–14, 2014. Rabat, Morocco, 2014. 13 p. Available at: https://From_VVER-1000_to_VVER-1200_Investigation_of_the_effect_of_the_Changes_in_Core-libre.pdf (accessed 10 January 2023).</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Louis H. K. Neutronic analysis of the VVER-1200 under normal operating conditions. Journal of Nuclear and Particle Physics, 2021, vol. 11, no. 3, pp. 53–66.</mixed-citation><mixed-citation xml:lang="en">Louis H. K. Neutronic analysis of the VVER-1200 under normal operating conditions. Journal of Nuclear and Particle Physics, 2021, vol. 11, no. 3, pp. 53–66.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Semchenkov Y., Styrin Yu. Advancing of VVER reactor core. Proceedings of the International Nuclear Forum on Nuclear Energy – challenges and prospects (BULATOM), Varna, Bulgaria, Jun 9–11, 2010. 31 p. Available at: https://inis.iaea.org/collection/NCLCollectionStore/_Public/45/045/45045684.pdf?r=1 (accessed 10 January 2023).</mixed-citation><mixed-citation xml:lang="en">Semchenkov Y., Styrin Yu. Advancing of VVER reactor core. Proceedings of the International Nuclear Forum on Nuclear Energy – challenges and prospects (BULATOM), Varna, Bulgaria, Jun 9–11, 2010. 31 p. Available at: https://inis.iaea.org/collection/NCLCollectionStore/_Public/45/045/45045684.pdf?r=1 (accessed 10 January 2023).</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Hafez N., Shahbunder H., Amin E., Elfiki S. A., Abdel-Latif A. Study on criticality and reactivity coefficients of VVER-1200 reactor. Progress in Nuclear Energy, 2021, vol. 131, art. ID 103594. https://doi.org/10.1016/j.pnucene.2020.103594</mixed-citation><mixed-citation xml:lang="en">Hafez N., Shahbunder H., Amin E., Elfiki S. A., Abdel-Latif A. Study on criticality and reactivity coefficients of VVER-1200 reactor. Progress in Nuclear Energy, 2021, vol. 131, art. ID 103594. https://doi.org/10.1016/j.pnucene.2020.103594</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Dwiddar M. S., Badawi A. A., Abou-Gabal H. H., El-Osery I. A. Investigation of different scenarios of thorium–uranium fuel distribution in the VVER-1200 first core. Annals of Nuclear Energy, 2015, vol. 85, pp. 605–612. https://doi.org/10.1016/j.anucene.2015.06.015</mixed-citation><mixed-citation xml:lang="en">Dwiddar M. S., Badawi A. A., Abou-Gabal H. H., El-Osery I. A. Investigation of different scenarios of thorium–uranium fuel distribution in the VVER-1200 first core. Annals of Nuclear Energy, 2015, vol. 85, pp. 605–612. https://doi.org/10.1016/j.anucene.2015.06.015</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>
