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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">vuzbiochemi</journal-id><journal-title-group><journal-title xml:lang="ru">Известия вузов. Прикладная химия и биотехнология</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of Universities. Applied Chemistry and Biotechnology</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2227-2925</issn><issn pub-type="epub">2500-1558</issn><publisher><publisher-name>ИРНИТУ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21285/achb.1039</article-id><article-id custom-type="edn" pub-id-type="custom">EEKFDE</article-id><article-id custom-type="elpub" pub-id-type="custom">vuzbiochemi-1700</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>ФИЗИКО-ХИМИЧЕСКАЯ БИОЛОГИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICOCHEMICAL BIOLOGY</subject></subj-group></article-categories><title-group><article-title>Исследование влияния величины рабочего слоя фотобиореактора на скорость роста культуры Tetraselmis viridis</article-title><trans-title-group xml:lang="en"><trans-title>Influence of biomass layer thickness in a photobioreactor on the growth rate of Tetraselmis viridis</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2770-1221</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Горбунова</surname><given-names>С. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Gorbunova</surname><given-names>S. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Горбунова Светлана Юрьевна, к.б.н., старший научный сотрудник</p><p>299011, г. Севастополь, пр. Нахимова, 2</p></bio><bio xml:lang="en"><p>Svetlana Yu. Gorbunova, Cand. Sci. (Biology), Senior Researcher</p><p>2, Nakhimov Ave., Sevastopol, 299011</p></bio><email xlink:type="simple">gorbunova_sv@ibss-ras.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9521-9862</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ширяев</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Shiriaev</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ширяев Антон Владимирович, ведущий инженер</p><p>299011, г. Севастополь, пр. Нахимова, 2</p></bio><bio xml:lang="en"><p>Anton V. Shiriaev, Leading Engineer</p><p>2, Nakhimov Ave., Sevastopol, 299011</p></bio><email xlink:type="simple">sheinmus@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1213-7963</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лелеков</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Lelekov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Лелеков Александр Сергеевич, д.б.н., ведущий научный сотрудник</p><p>299011, г. Севастополь, пр. Нахимова, 2</p></bio><bio xml:lang="en"><p>Alexander S. Lelekov, Dr. Sci. (Biology), Leading Researcher</p><p>2, Nakhimov Ave., Sevastopol, 299011</p></bio><email xlink:type="simple">a.lelekov@ibss.su</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Федеральный исследовательский центр «Институт биологии южных морей имени А.О. Ковалевского РАН»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>A.O. Kovalevsky Institute of Biology of the Southern Seas, Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>15</day><month>06</month><year>2026</year></pub-date><volume>16</volume><issue>2</issue><fpage>229</fpage><lpage>238</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Горбунова С.Ю., Ширяев А.В., Лелеков А.С., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Горбунова С.Ю., Ширяев А.В., Лелеков А.С.</copyright-holder><copyright-holder xml:lang="en">Gorbunova S.Y., Shiriaev A.V., Lelekov A.S.</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://vuzbiochemi.elpub.ru/jour/article/view/1700">https://vuzbiochemi.elpub.ru/jour/article/view/1700</self-uri><abstract><p>При моделировании влияния света на скорость роста оптически плотных культур микроводорослей большинство авторов используют классический закон Бугера – Ламберта – Бера, при этом недостаточную точность описания экспериментальных данных компенсируют посредством введения эмпирических поправочных коэффициентов. Такие коэффициенты учитывают светорассеяние с ростом плотности культуры, но лишены биологического смысла. В качестве альтернативы предложена аналитическая модель, описывающая пространственное распределение светового потока в культуре микроводорослей. Модель основана не на физике поглощения и рассеяния света в коллоидных растворах, а на экспериментально наблюдаемом линейном росте микроводорослей: интенсивность светового потока гиперболически снижается с ростом биомассы и экспоненциально – при увеличении оптического пути. Для верификации проведен эксперимент по выращиванию Tetraselmis viridis в накопительном режиме в фотобиореакторах с различной толщиной слоя при одинаковой поверхностной облученности. Установлено, что в каждом опытном варианте присутствует продолжительная линейная фаза роста, обусловленная световым лимитированием. Получены зависимости коэффициента пропускания от оптического пути и биомассы. Экспериментальные данные фитированы предлагаемой моделью и уравнением Бугера – Ламберта – Бера – обе модели показали достаточную точность. Получена количественная взаимосвязь продуктивности культуры Tetraselmis viridis на линейном участке кривой роста от толщины рабочего слоя культиватора. Предложенные выражения справедливы только для условий светолимитирования. Результаты моделирования свидетельствуют об адекватности предлагаемого теоретического подхода, имеют как научную, так и практическую значимость, заключающуюся в возможности прогнозирования урожая тетраселмиса при его промышленном культивировании.</p></abstract><trans-abstract xml:lang="en"><p>Most models describing the effect of light on the growth rate of optically dense microalgal cultures rely on the classical Beer–Lambert–Bouguer law, and the mismatch between theory and experiment is typically compensated by introducing empirical correction factors. Although these factors reflect the increase in light scattering as culture density rises, they offer no biological interpretability. As an alternative, an analytical model is proposed that describes the spatial distribution of photon flux within a microalgal culture. Rather than invoking the physics of absorption and scattering in colloidal media, the model is grounded in the experimentally observed linear growth of microalgae: photon flux density decreases hyperbolically with increasing biomass concentration and exponentially with increasing optical path length. To validate this approach, Tetraselmis viridis was cultivated in batch mode in photobioreactors with various biomass layer thicknesses under identical surface irradiance. Under all experimental conditions, the cultures exhibited an extended linear growth phase characteristic of light limitation. Relationships were obtained between transmittance, optical path length, and biomass concentration. The experimental data were fitted using both the proposed analytical model and the Beer–Lambert–Bouguer law; each provided adequate accuracy. A quantitative relationship was derived linking the productivity of Tetraselmis viridis in the linear growth regime to the biomass layer thickness. These expressions apply only under light-limited conditions. The modeling results indicate that the proposed theoretical framework is appropriate and has both scientific and practical value, particularly for predicting Tetraselmis yield in industrial-scale cultivation.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>микроводоросли</kwd><kwd>накопительная культура</kwd><kwd>линейная фаза роста</kwd><kwd>интенсивность света</kwd><kwd>моделирование</kwd><kwd>закон Бугера – Ламберта – Бера</kwd></kwd-group><kwd-group xml:lang="en"><kwd>microalgae</kwd><kwd>batch culture</kwd><kwd>linear growth phase</kwd><kwd>light intensity</kwd><kwd>modeling</kwd><kwd>Beer–Lambert–Bouguer law</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при поддержке Института биологии южных морей им. А.О. Ковалевского РАН, тема гос. задания «Разработка биотехнологической платформы создания инновационных продуктов и сырья на основе культур микроводорослей и цианобактерий для пищевой, косметической и фармацевтической промышленности» (2026–2028 гг.) (номер гос. регистрации 126021016953-0).</funding-statement><funding-statement xml:lang="en">This work was supported by the A.O. Kovalevsky Institute of Biology of the Southern Seas of RAS, under the state assignment “Development of a biotechnological platform for the creation of innovative products and raw materials based on microalgae and cyanobacteria cultures for the food, cosmetic and pharmaceutical industries” (2026–2028) (state registration no. 126021016953-0).</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">Тренкеншу Р.П. 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