Academic literature on the topic 'Монте-Карло симуляція'
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Journal articles on the topic "Монте-Карло симуляція"
Кудрявцев, О. Е., and O. E. Kudryavtsev. "Приближенная факторизация Винера-Хопфа и методы Монте-Карло для процессов Леви." Teoriya Veroyatnostei i ee Primeneniya 64, no. 2 (2019): 228–57. http://dx.doi.org/10.4213/tvp5234.
Full textNguen, Phuc Cao, Aleksandr I. Vezentsev, Minh Thuy Dang, and Lidiya F. Peristaya. "Сравнение регрессионных моделей получения параметров уравнения изотермы адсорбции Ленгмюра методом компьютерного моделирования." Сорбционные и хроматографические процессы 18, no. 5 (October 11, 2018): 709–16. http://dx.doi.org/10.17308/sorpchrom.2018.18/597.
Full textМороз, Любовь Игоревна, Lyubov' Igorevna Moroz, Анна Геннадьевна Масловская, and A. G. Maslovskaya. "Гибридный фрактально-стохастический подход к моделированию кинетики переключения сегнетоэлектриков в режиме инжекции." Математическое моделирование 31, no. 9 (2019): 131–44. http://dx.doi.org/10.1134/s0234087919090077.
Full textАлдобаев, Владимир Николаевич, Анастасия Дмитриевна Артемьева, and Александр Альбертович Масликов. "Исследование поведения классических критериев множественных сравнений, на ненормальных неоднородных распределениях, методом Монте-Карло." Вестник ВГУ. Серия: Системный анализ и информационные технологии, no. 3 (December 2, 2021): 72–80. http://dx.doi.org/10.17308/sait.2021.3/3737.
Full textDissertations / Theses on the topic "Монте-Карло симуляція"
Безуглий, Михайло Олександрович. "Еліпсоїдальні рефлектори для фотометрії біологічних середовищ." Thesis, КПІ ім. Ігоря Сікорського, 2020. https://ela.kpi.ua/handle/123456789/31490.
Full textThe thesis is devoted to the solution of the important scientifically applied problem of development the construction and application method of ellipsoidal reflectors in the registration and analysis systems of scattered optical radiation, as well as approbation of new structural, functional and biomedical solutions. This made it possible to theoretically and experimentally substantiate the method and hardware of the use the ellipsoidal reflectors for photometry of light scattering by biological media in the detection of their optical properties and identification of physical and physiological state. A fundamental basis for solving this problem is the first-time developed mechanism of ray-tracing, which colligate the parameters of the radiation source, biological media, ellipsoidal reflector and matrix photodetector in the information-measuring system of biomedical photometer, which allows to solve the direct and inverse problems of light propagation by the Monte Carlo statistical simulation. The main content of the thesis is outlined in eight chapters, which present and substantiate the goal and results of the work. The first chapter presents the results of analytical review and literary search, which reveal the tasks raised in the doctorate thesis. In particular, the methods of biophotonics that are most commonly used in the study of different biological media are given. The features of optical radiation propagation in biological media are analyzed, as well as the basic principles of the transfer radiative theory, which mathematically and analytically interpret this process. Typical photometric tools used for the study of biological media, boundary conditions of their use, and functional limitations are analyzed. The second chapter is devoted to the development a method of investigation the biological media optical properties. Structural schemes of basic photometers with ellipsoidal reflectors and features of their functioning are presented. The mathematical apparatus for calculating the ray tracing in a reflector with an internal ellipsoidal reflecting surface is presented, and the main types of ray trajectories are considered. The algorithm of the proposed mechanism of ray tracing and the features of its software are presented. The results of aberration analysis of ellipsoidal reflector are shown. The third chapter is devoted to the development of Monte Carlo models of light propagation in the information-measuring system of biomedical photometer with ellipsoidal reflectors. The features of the input data formation and the basic simulation algorithm are substantiated, as well as the boundary conditions of simulation. The analytical models of software adaptation of radiation source parameters, the receiving system, as well as the boundaries and scattering-absorption properties of the biological media that underlie the simulation are presented. The principles of determination the optical coefficients, algorithm and grounds of software implementation of Monte Carlo simulation in the system "radiation source + biological media + measuring tool" are presented. In the fourth chapter proposed the features of designing photometers with ellipsoidal reflectors by improving the standard equipment for microscopy, as well as in the construction of individual prototypes. Schemes of zone analysis at processing of photometric images obtained by photometry by ellipsoidal reflectors are considered. Mathematical and analytical aspects of solving the inverse problem of the radiative transfer theory by methods of Kubelka-Munk and inverse Monte-Carlo in the context the work of biomedical photometers with ellipsoidal reflectors operating in reflected and also in reflected and transmitted light are presented. The interrelation of photometric images and optical properties of the investigated biological media is considered. In the fifth chapter discusses the technological principles of ellipsoidal reflectors production and control. The materials choice of ellipsoid for different methods of shaping the aspherical surface is substantiated. The principles of production of metallic mirror ellipsoids of revolution using vertical-boring technology, as well as 3D printing technology from plastic are formulated. Practical aspects of applying a mirror coating to the inner ellipsoidal surface from plastic are determined. The analytical model and technical stages the shape control of the ellipsoidal surface are presented and photometric comparison of the functioning of reflectors produced by different technologies is made. The sixth chapter is devoted to the analysis of the effects of light scattering in the system "radiation source + biological media + measuring tool" for different profiles of energy distribution in the laser beam and their effect on the relative illuminance distribution of photometric image at zone analysis for different layers of human skin. The influence the parameters of ellipsoidal reflectors on the boundary geometric properties of optical radiation in the forward and backscattered light is considered. The influence the diameter and power of the incident beam at the tasks of Raman spectroscopy by ellipsoidal reflectors is also substantiated. In the seventh chapter features of application the photometry by ellipsoidal reflectors for creation and improvement tools of biological and medical diagnostics and control are shown. The influence of the scattering anisotropy factor on the illuminance of photometric images and the possibility of biomedical goniophotometry were evaluated. A measurement system for angular photometry in backscattered light was developed and investigated. Based on the model experiment, the prospects of using a photometer with ellipsoidal reflectors to control the optical clearing of human skin were evaluated. A prototype optical non-invasive glucometer with ellipsoidal reflectors was created and its functional features were investigated. The eighth chapter discusses the prospects of applying the mirror ellipsoids of revolution method for various problems in optical biomedical diagnostics.
В работе решен комплекс задач, позволивший решить важную научно-прикладную проблему разработки метода построения и применения эллипсоидальных рефлекторов в системах регистрации и анализа рассеянного оптического излучения, а также апробации новых конструктивных, функциональных и медико-биологических решений. Это позволило теоретически и экспериментально обосновать метод и аппаратные средства применения эллипсоидальные рефлекторов для фотометрии светорассеяния биологическими средами при обнаружении их оптических свойств и идентификации физического и физиологического состояния. Предложено фундаментальную основу решения указанной проблемы за счет впервые разработанного механизма рей-трейсинга, что взаимно связывает параметры источника излучения, биологической среды, эллипсоидального зеркала и матричного приемника излучения в информационно-измерительной системе биомедицинского фотометра с эллипсоидальными рефлекторами, и который позволяет решать прямую и инверсную задачи распространения оптического излучения методом статистического моделирования Монте-Карло.