Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8294ArticlesСтатьиIdentification of Internal Points of Macromolecular System for the Definition of the Parameters of a Poisson-Boltzmann EquationИдентификация внутренних точек макромолекулярных систем для установления параметров уравнения Пуассона-БольцманаBŭsaJБушаЯнTechnical University in KoˇsiceТехнический университет Кошицеjan.busa@tuke.skPokorn̏yIПокорныИмрихTechnical University in Koˇsice* Технический университет Кошицеimrich.pokorny@tuke.skHayryanE AАйрянЭдик Арташович ; Joint Institute for Nuclear ResearchЛаборатория информационных технологий; Объединённый институт ядерных исследованийayrjan@jinr.ruSk̆riv̏anekJСкрживанекЯрославSORS Researchskrivanek@sors.comTechnical University in KoˇsiceТехнический университет КошицеTechnical University in Koˇsice* Технический университет КошицеJoint Institute for Nuclear ResearchОбъединённый институт ядерных исследованийSORS Research020220102.2NO2.2 (2010)№2.2 (2010)707508092016Copyright ©; 2010, Буша Я., Покорны И., Айрян Э.А., Скрживанек Я.2010Буша Я., Покорны И., Айрян Э.А., Скрживанек Я.http://creativecommons.org/licenses/by/4.0https://journals.rudn.ru/miph/article/view/8294Systems of overlapping spheres are widely used in macromolecular modeling, where atoms are represented by spheres. Study of geometric properties of such systems, like the surface area, the volume or the existence of internal cavities is important because of their physical applications. In this paper the cavity triangulation is applied to identify internal grid points for the numerical solution of the Poisson-Boltzmann equation describing the electrostatic potential of macromolecule.Системы пересекающихся сфер широко используются в моделировании макромолекул, где атомы представлены сферами. Изучение геометрических свойств таких систем как площадь поверхности и объём области или существование внутренних полостей важно в силу их физических применений. 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