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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">vavilov</journal-id><journal-title-group><journal-title xml:lang="ru">Вавиловский журнал генетики и селекции</journal-title><trans-title-group xml:lang="en"><trans-title>Vavilov Journal of Genetics and Breeding</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2500-3259</issn><publisher><publisher-name>Institute of Cytology and Genetics of Siberian Branch of the RAS</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">vavilov-327</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>Статьи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Articles</subject></subj-group></article-categories><title-group><article-title>МАТЕМАТИЧЕСКАЯ МОДЕЛЬ РЕГУЛЯЦИИ ФИТОГОРМОНАМИ ФОРМИРОВАНИЯ МЕРИСТЕМАТИЧЕСКОЙ ЗОНЫ КОРНЯ</article-title><trans-title-group xml:lang="en"><trans-title>MATHEMATICAL MODEL OF PHYTOHORMONE REGULATION OF ROOT MERISTEMATIC ZONE FORMATION</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>Лавреха</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Lavrekha</surname><given-names>V. V.</given-names></name></name-alternatives><email xlink:type="simple">vvl@bionet.nsc.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>Омельянчук</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Omelyanchuk</surname><given-names>N. A.</given-names></name></name-alternatives><email xlink:type="simple">vvl@bionet.nsc.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>Миронова</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Mironova</surname><given-names>V. V.</given-names></name></name-alternatives><email xlink:type="simple">vvl@bionet.nsc.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Федеральное государственное бюджетное научное учреждение «Федеральный исследовательский центр Институт цитологии и генетики Сибирского отделения Российской академии наук», Новосибирск, Россия<country>Россия</country></aff><aff xml:lang="en">Institute of Cytology and Genetics SB RAS, Novosibirsk, Russia<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Федеральное государственное бюджетное учреждение науки Институт цитологии и генетики Сибирского отделения Российской академии наук, Новосибирск, Россия&#13;
Новосибирский национальный исследовательский государственный университет, Новосибирск, Россия<country>Россия</country></aff><aff xml:lang="en">Institute of Cytology and Genetics SB RAS, Novosibirsk, Russia&#13;
Novosibirsk National Research State University, Novosibirsk, Russia<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2014</year></pub-date><pub-date pub-type="epub"><day>22</day><month>01</month><year>2015</year></pub-date><volume>18</volume><issue>4/2</issue><fpage>963</fpage><lpage>972</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Лавреха В.В., Омельянчук Н.А., Миронова В.В., 2015</copyright-statement><copyright-year>2015</copyright-year><copyright-holder xml:lang="ru">Лавреха В.В., Омельянчук Н.А., Миронова В.В.</copyright-holder><copyright-holder xml:lang="en">Lavrekha V.V., Omelyanchuk N.A., Mironova V.V.</copyright-holder><license 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://vavilov.elpub.ru/jour/article/view/327">https://vavilov.elpub.ru/jour/article/view/327</self-uri><abstract><p>Расположенная в кончике корня апикальная меристема растения – один из удобных объектов исследования организации ниши стволовых клеток. В апикальной меристеме корня митотически слабо активные клетки покоящегося центра соседствуют с активно делящимися клетками, которые теряют эту способность на определенном расстоянии от покоящегося центра. Известно, что важную роль в регуляции формирования такой структуры играют фитогормоны ауксин и цитокинин, однако конкретные механизмы поддержания ее в динамике пока неизвестны. В работе предложена математическая модель, которая обобщает экспериментальные данные о распределении ауксина и цитокинина вдоль продольной оси корня и их роли в регуляции клеточного цикла. Минимальный механизм регуляции клеточного цикла ауксином и цитокинином, лежащий в основе модели, позволил продемонстрировать in silico самоорганизацию меристематической зоны корня в градиентах концентраций этих веществ.</p></abstract><trans-abstract xml:lang="en"><p>The apical meristem located at the root tip of a plant is one of the most convenient objects to study the organization of the stem cell niche. In the root apical meristem, mitotically inactive cells of the quiescent center coexist with intensely dividing cells, which lose this ability at a certain distance from the quiescent center. It is known that plant hormones auxin and cytokinin play an important role in the regulation of this structure formation, but the mechanisms maintaining the dynamics of this structure remain unknown. We propose a mathematical model that summarizes experimental data on the distribution of auxin and cytokinin along the root longitudinal axis and their role in cell cycle regulation.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Arabidopsis thaliana</kwd><kwd>математическое моделирование</kwd><kwd>ауксин</kwd><kwd>цитокинин</kwd><kwd>клеточный цикл</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Arabidopsis thaliana</kwd><kwd>mathematical modelling</kwd><kwd>auxin</kwd><kwd>cytokinin</kwd><kwd>cell cycle</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Фонд "Династия", Российский научный фонд</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">Вольтерра В. Математическая теория борьбы за существование. М.: Наука, 1976. 286 с.</mixed-citation><mixed-citation xml:lang="en">Вольтерра В. Математическая теория борьбы за существование. М.: Наука, 1976. 286 с.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Barrio R.A., Romero-Arias J.R., Noguez M.A. et al. Cell Patterns Emerge from Coupled Chemical and Physical Fields with Cell Proliferation Dynamics: The Arabidopsis thaliana Root as a Study System // PLoS Comput. Biol. 2013. V. 9 (5). P. e1003026.</mixed-citation><mixed-citation xml:lang="en">Barrio R.A., Romero-Arias J.R., Noguez M.A. et al. Cell Patterns Emerge from Coupled Chemical and Physical Fields with Cell Proliferation Dynamics: The Arabidopsis thaliana Root as a Study System // PLoS Comput. Biol. 2013. V. 9 (5). P. e1003026.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Bhalerao R.P., Eklöf J., Ljung K. et al. Shoot-derived auxin is essential for early lateral root emergence in Arabidopsis seedlings // Plant J. 2002. V. 29 (3). P. 325–332.</mixed-citation><mixed-citation xml:lang="en">Bhalerao R.P., Eklöf J., Ljung K. et al. Shoot-derived auxin is essential for early lateral root emergence in Arabidopsis seedlings // Plant J. 2002. V. 29 (3). P. 325–332.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Bishopp A., Lehesranta S., Vaten A. et al. Phloem-transported cytokinin regulates polar auxin transport and maintains vascular pattern in the root meristem // Curr. Biol. 2011. V. 21. P. 927–932.</mixed-citation><mixed-citation xml:lang="en">Bishopp A., Lehesranta S., Vaten A. et al. Phloem-transported cytokinin regulates polar auxin transport and maintains vascular pattern in the root meristem // Curr. Biol. 2011. V. 21. P. 927–932.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Breuer C., Braidwood L., Sugimoto K. Endocycling in the path of plant development // Current Opinion Plant Biology. 2014. V. 17. P. 78–85.</mixed-citation><mixed-citation xml:lang="en">Breuer C., Braidwood L., Sugimoto K. Endocycling in the path of plant development // Current Opinion Plant Biology. 2014. V. 17. P. 78–85.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Del Pozo J.C., Manzano C. Auxin and the ubiquitin pathway. Two players-one target: the cell cycle in action // J. Exp. Bot. 2014. V. 65 (10). P. 2617–2632.</mixed-citation><mixed-citation xml:lang="en">Del Pozo J.C., Manzano C. Auxin and the ubiquitin pathway. Two players-one target: the cell cycle in action // J. Exp. Bot. 2014. V. 65 (10). P. 2617–2632.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Dello Ioio R., Nakamura K., Moubayidin L. et al. A Genetic Framework for the Control of Cell Division and differentiation in the Root Meristem // Science. 2008. V. 322. P. 1380–1384.</mixed-citation><mixed-citation xml:lang="en">Dello Ioio R., Nakamura K., Moubayidin L. et al. A Genetic Framework for the Control of Cell Division and differentiation in the Root Meristem // Science. 2008. V. 322. P. 1380–1384.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Dolan L., Janmaat K., Willemsen V. et al. Cellular organisation of the Arabidopsis thaliana root // Development. 1993. V. 119. P. 71–84.</mixed-citation><mixed-citation xml:lang="en">Dolan L., Janmaat K., Willemsen V. et al. Cellular organisation of the Arabidopsis thaliana root // Development. 1993. V. 119. P. 71–84.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Grieneisen V.A., Xu J., Marée A.F. et al. Auxin transport sufficient for maximum and gradient guiding root growth // Nature. 2007. V. 449 (7165). P. 1008–1013.</mixed-citation><mixed-citation xml:lang="en">Grieneisen V.A., Xu J., Marée A.F. et al. Auxin transport sufficient for maximum and gradient guiding root growth // Nature. 2007. V. 449 (7165). P. 1008–1013.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Hemerly A.S., Ferreira P., De Almeida E.J. et al. Cdc2a expression in Arabidopsis is linked with competence for cell division // Plant Cell. 1993. V. 5. P. 1711–1723.</mixed-citation><mixed-citation xml:lang="en">Hemerly A.S., Ferreira P., De Almeida E.J. et al. Cdc2a expression in Arabidopsis is linked with competence for cell division // Plant Cell. 1993. V. 5. P. 1711–1723.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Higuchi M., Pischke M.S., Mähönen A.P. et al. In planta functions of the Arabidopsis cytokinin receptor family // Proc. Natl. Acad. Sci. 2004. V. 101. P. 8821–8826.</mixed-citation><mixed-citation xml:lang="en">Higuchi M., Pischke M.S., Mähönen A.P. et al. In planta functions of the Arabidopsis cytokinin receptor family // Proc. Natl. Acad. Sci. 2004. V. 101. P. 8821–8826.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Ivanov V.B., Dubrovsky J.G. Longitudinal zonation pattern in plant roots: confl icts and solutions // Trends Plant Sci. 2013. V. 18 (5). P. 237–243.</mixed-citation><mixed-citation xml:lang="en">Ivanov V.B., Dubrovsky J.G. Longitudinal zonation pattern in plant roots: confl icts and solutions // Trends Plant Sci. 2013. V. 18 (5). P. 237–243.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Jurado S., Abraham Z., Manzano C. et al. The Arabidopsis cell cycle F-box protein SKP2A binds to auxin // Plant Cell. 2010. V. 22. P. 3891–3904.</mixed-citation><mixed-citation xml:lang="en">Jurado S., Abraham Z., Manzano C. et al. The Arabidopsis cell cycle F-box protein SKP2A binds to auxin // Plant Cell. 2010. V. 22. P. 3891–3904.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Kuderova A., Urbankova I., Valkova M. et al. Effects of conditional IPT-dependent cytokinin overproduction on root architecture of Arabidopsis seedlings // Plant Cell. Physiol. 2008. V. 49. P. 570–582.</mixed-citation><mixed-citation xml:lang="en">Kuderova A., Urbankova I., Valkova M. et al. Effects of conditional IPT-dependent cytokinin overproduction on root architecture of Arabidopsis seedlings // Plant Cell. Physiol. 2008. V. 49. P. 570–582.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Lotka A.J., Dublin L.I. On the true rate of natural increase as exemplifi ed by the population of the United States // J. American statistical association. 1925. V. 20 (150).</mixed-citation><mixed-citation xml:lang="en">Lotka A.J., Dublin L.I. On the true rate of natural increase as exemplifi ed by the population of the United States // J. American statistical association. 1925. V. 20 (150).</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Mironova V.V., Novoselova E.S., Doroshkov A.V. et al. Combined in silico/in vivo analysis of mechanisms providing for root apical meristem self-organization and maintenance // Annals Botany. 2012. V. 110 (2). P. 349–360.</mixed-citation><mixed-citation xml:lang="en">Mironova V.V., Novoselova E.S., Doroshkov A.V. et al. Combined in silico/in vivo analysis of mechanisms providing for root apical meristem self-organization and maintenance // Annals Botany. 2012. V. 110 (2). P. 349–360.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Mironova V.V., Omelyanchuk N.A., Yosiphon G. et al. A plausible mechanism for auxin patterning along the developing root // BMC Systems Biology. 2010. V. 4. (98).</mixed-citation><mixed-citation xml:lang="en">Mironova V.V., Omelyanchuk N.A., Yosiphon G. et al. A plausible mechanism for auxin patterning along the developing root // BMC Systems Biology. 2010. V. 4. (98).</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Sabatini S., Beis D., Wolkenfelt H. et al. An Auxin-Dependent Distal Organizer of Pattern and Polarity in the Arabidopsis Root // Cell. 1999. V. 99 (5). P. 463–472.</mixed-citation><mixed-citation xml:lang="en">Sabatini S., Beis D., Wolkenfelt H. et al. An Auxin-Dependent Distal Organizer of Pattern and Polarity in the Arabidopsis Root // Cell. 1999. V. 99 (5). P. 463–472.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Sablowski R., Dornelas M. Interplay between cell growth and cell cycle in plants // J. Exp. Bot. 2014. V. 65 (10). P. 2703–2714.</mixed-citation><mixed-citation xml:lang="en">Sablowski R., Dornelas M. Interplay between cell growth and cell cycle in plants // J. Exp. Bot. 2014. V. 65 (10). P. 2703–2714.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Tromas A., Braun N., Muller P. et al. The auxin binding protei 1 is required for differential auxin respon-ses mediating root growth // PLoS One. 2009. V. 4 (9). P. e6648.</mixed-citation><mixed-citation xml:lang="en">Tromas A., Braun N., Muller P. et al. The auxin binding protei 1 is required for differential auxin respon-ses mediating root growth // PLoS One. 2009. V. 4 (9). P. e6648.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Yosiphon G., Mjolsness E. Plenum. 2007. http://computableplant.ics.uci.edu/theses/guy/downloads/papers/thesis.</mixed-citation><mixed-citation xml:lang="en">Yosiphon G., Mjolsness E. Plenum. 2007. http://computableplant.ics.uci.edu/theses/guy/downloads/papers/thesis.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Zürcher E., Tavor-Deslex D., Lituiev D. et al. A robust and sensitive synthetic sensor to monitor the transcriptional output of the cytokinin signaling network in planta // Plant Physiol. 2013. V. 161 (3). P. 1066–1075.</mixed-citation><mixed-citation xml:lang="en">Zürcher E., Tavor-Deslex D., Lituiev D. et al. A robust and sensitive synthetic sensor to monitor the transcriptional output of the cytokinin signaling network in planta // Plant Physiol. 2013. V. 161 (3). P. 1066–1075.</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>
