mireabulletinRussian Technological JournalRussian Technological Journal2782-32102500-316XRTU MIREA10.32362/2500-316X-2025-13-2-111-120ATOWXWmireabulletin-1130Research ArticleМАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕMATHEMATICAL MODELINGЛатеральный протонный транспорт, индуцированный распространением акустических солитонов в липидных мембранахLateral proton transport induced by acoustic solitons propagating in lipid membraneshttps://orcid.org/0000-0001-9205-6527КаданцевВ. Н.KadantsevVasiliy N.

Каданцев Василий Николаевич, д.ф.-м.н., профессор, кафедра биокибернетических систем и технологий, Институт искусственного интеллекта

119454, Москва, пр-т Вернадского, д. 78

Scopus Author ID 6602993607

Vasiliy N. Kadantsev, Dr. Sci. (Phys.-Math.), Professor, Department of Biocybernetic Systems and Technologies, Institute of Artificial Intelligence

78, Vernadskogo pr., Moscow, 119454

Scopus Author ID 6602993607

appl.synergy@yandex.ruhttps://orcid.org/0000-0001-6725-189XГольцовА. Н.GoltsovAlexey N.

Гольцов Алексей Николаевич, д.ф.-м.н., профессор, кафедра биокибернетических систем и технологий, Институт искусственного интеллекта

119454, Москва, пр-т Вернадского, д. 78

Scopus Author ID 56234051200

Alexey N. Goltsov, Dr. Sci. (Phys.-Math.), Professor, Department of Biocybernetic Systems and Technologies, Institute of Artificial Intelligence

78, Vernadskogo pr., Moscow, 119454 

Scopus Author ID 56234051200

golcov@mirea.ruМИРЭА – Российский технологический университетРоссияMIREA – Russian Technological UniversityRussian Federation202523012025132111120Copyright © Каданцев В.Н., Гольцов А.Н., 20252025Каданцев В.Н., Гольцов А.Н.Kadantsev V.N., Goltsov A.N.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.rtj-mirea.ru/jour/article/view/1130Цели

Цели. Исследование протонного транспорта в мембранных структурах является важной технологической задачей в области водородной энергетики, а также представляет собой фундаментальную проблему биоэнергетики. Целью этих исследований является выяснение физических механизмов быстрого протонного транспорта в мезо-пористых структурах полимерных электролитных мембран, являющихся электрохимическими компонентами водородных топливных элементов. В области биоэнергетики эти исследования направлены на выяснения молекулярных механизмов эффективного протонного транспорта в трансмембранных белках-каналах и в поверхностных протонпроводящих структурах биологических мембран в системах биоэнергетики клетки. С целью исследования молекулярных механизмов направленного транспорта протонов в работе рассматривается модель движения протонов в квазиодномерных латеральных доменных структурах в многокомпонентных липидных мембранах.

Методы

Методы. В основе развиваемого подхода лежит модель коллективных возбуждений типа акустических солитонов, которые представляют собой перемещающиеся вдоль мембраны области локального сжатия полярных групп и структурных дефектов в подсистеме углеводородных цепей липидных молекул.

Результаты

Результаты. Показано, что учет в модели взаимодействия избыточного протона на поверхности мембраны с солитоном сжатия мембраны приводит к захвату протона акустическим солитоном с его последующим транспортом. Разработанная модель применяется к описанию механизма эффективного протонного транспорта вдоль внутренней митохондриальной мембраны и его роли в сопряжении функционирования молекулярных комплексов в системе биоэнергетики клетки.

Выводы

Выводы. Развитая солитонная модель протонного транспорта показала, что коллективные возбуждения в липидных мембранах могут определять факторы, влияющие на эффективность протонного транспорта вдоль межфазных границ. Дальнейшее развитие теоретических подходов, учитывающих динамические свойства полимерных и биологических протонпроводящих мембран, может внести вклад в исследование роли поверхностного транспорта протонов в биоэнергетику клетки, а также в исследование транспортных характеристик разрабатываемых протонно-обменных полимерных мембран водородной энергетики.

Objectives

Objectives. The study of proton transport in membrane structures represents a significant technological task in the development of hydrogen energy as well as a fundamental problem in bioenergetics. Investigation in this field aims at finding out the physical mechanisms of fast proton transport in the meso-porous structures in polymer electrolyte membranes, which serve as electrochemical components of hydrogen fuel cells. The objectives of the research in the field of bioenergetics are to elucidate the molecular mechanisms of effective proton transport in transmembrane channel proteins, as well as along the surface proton-conducting structures in biological membranes. To investigate the molecular mechanisms of the direct proton transport along the water-membrane interface, we developed a model of proton movement along quasi-one-dimensional lateral domain structures in multicomponent lipid membranes.

Methods

Methods. The developed approach is based on a model of collective excitations spreading along the membranes in the form of acoustic solitons, which represent the regions of local compression of polar groups and structural defects in hydrocarbon chains of lipid molecules.

Results

Results. The results of modeling showed that the interaction between an excess proton on the membrane surface and a soliton of membrane compression leads to the proton being trapped by an acoustic soliton, followed by its transport by moving soliton. The developed model was applied to describe effective proton transport along the inner mitochondrial membrane and its role in the local coupling function of molecular complexes in cell bioenergetics.

Conclusions

Conclusions. The developed soliton model of proton transport demonstrated that collective excitations within lipid membranes can determine one of the factors affecting the efficiency of proton transport along interphase boundaries. Further development of the theoretical approaches, taking into account dynamic properties of polymer and biological proton-conducting membranes, can contribute to the study of a role of surface proton transport in cell bioenergetics, as well as to the investigation of transport characteristics of the proton-exchange polymer membranes developed for the hydrogen energy industry.

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The authors declare that there are no conflicts of interest present.