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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2017-8-4-426-434</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-592</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="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Mathematical modeling of magnetic field guided colloidal particle deposition with significant electric double layer interactions</article-title><trans-title-group xml:lang="ru"><trans-title>Mathematical modeling of magnetic field guided colloidal particle deposition with significant electric double layer interactions</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>Alfimov</surname><given-names>A. V.</given-names></name><name name-style="western" xml:lang="en"><surname>Alfimov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>197101; Kronverkskiy, 49; St. Petersburg</p></bio><bio xml:lang="en"><p>197101; Kronverkskiy, 49; St. Petersburg</p></bio><email xlink:type="simple">alfimov.anton@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>Shumova</surname><given-names>M. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Shumova</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>197101; Kronverkskiy, 49; St. Petersburg</p></bio><bio xml:lang="en"><p>197101; Kronverkskiy, 49; St. Petersburg</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Aryslanova</surname><given-names>E. M.</given-names></name><name name-style="western" xml:lang="en"><surname>Aryslanova</surname><given-names>E. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>197101; Kronverkskiy, 49; St. Petersburg</p></bio><bio xml:lang="en"><p>197101; Kronverkskiy, 49; St. Petersburg</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Chivilikhin</surname><given-names>S. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Chivilikhin</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>197101; Kronverkskiy, 49; St. Petersburg</p></bio><bio xml:lang="en"><p>197101; Kronverkskiy, 49; St. Petersburg</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ITMO University</institution></aff><aff xml:lang="en"><institution>ITMO University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>13</day><month>08</month><year>2025</year></pub-date><volume>8</volume><issue>4</issue><fpage>426</fpage><lpage>434</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Alfimov A.V., Shumova M.A., Aryslanova E.M., Chivilikhin S.A., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Alfimov A.V., Shumova M.A., Aryslanova E.M., Chivilikhin S.A.</copyright-holder><copyright-holder xml:lang="en">Alfimov A.V., Shumova M.A., Aryslanova E.M., Chivilikhin S.A.</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://nanojournal.ifmo.ru/jour/article/view/592">https://nanojournal.ifmo.ru/jour/article/view/592</self-uri><abstract><p>   In this work, we propose a simple theoretical method for predicting the rate and localization of magnetic field guided particle deposition from aqueous colloids. This method accounts for the colloidal electric double layer interactions between particles and vessel walls. The obtained results suggest that the colloidal interactions can be used to increase the rate of particle deposition and improve its localization.</p></abstract><trans-abstract xml:lang="ru"><p>   In this work, we propose a simple theoretical method for predicting the rate and localization of magnetic field guided particle deposition from aqueous colloids. This method accounts for the colloidal electric double layer interactions between particles and vessel walls. The obtained results suggest that the colloidal interactions can be used to increase the rate of particle deposition and improve its localization.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>particle deposition</kwd><kwd>magnetic nanoparticles</kwd><kwd>magnetic particle targeting</kwd></kwd-group><kwd-group xml:lang="en"><kwd>particle deposition</kwd><kwd>magnetic nanoparticles</kwd><kwd>magnetic particle targeting</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">Al-Jamal K.T., Bai J., Wang J.T.-W., Protti A., Southern P., Bogart L., Heidari H., Li X., Cakebread A., Asker D., Al-Jamal W.T., Shah A., Bals S., Sosabowski J., Pankhurst Q.A. Magnetic Drug Targeting: Preclinical in Vivo Studies, Mathematical Modeling, and Extrapolation to Humans. 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