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Стохастический анализ повторяемости процесса биологической деструкции дротаверина гидрохлорида

Стохастический анализ повторяемости процесса биологической деструкции дротаверина гидрохлорида

Abstract

The process of biological destruction has a biomechanical nature since the supply of nutrient substrates toward the immobilised actinobacteria colonies is performed mechanically with vigorous stirring of the culture fluid in an orbital shaker. By virtue of many factors influencing, the course of the process as well as the impossibility to describe quantitatively the interconnections of these factors with the result of the process as functions of time, the process of biological destruction presents a non-stationary random one. As a result, we have a real problem to analyse stochastically the repeatability of the processes of biological degradation in the laboratory, interlaboratory and especially in industrial environments. Being considered ( in vitro ), the results of experiments on the repeatability show that the process of biological degradation of drotaverine hydrochloride with using actinobacteria is a non-stationary stochastic process that allows us to attribute it to the class of kinetically simulated biomechanical random processes. The main features of this class are the certain monotony in increasing or decreasing the characteristic parameter of the process, and the availability of modern methods of its registration. That allows performing a kinetic simulation of the random process realisations. As a result, the non-stationary random process is reduced to a non-random function of two random variables. The realisations of stochastic process of drotaverine hydrochloride biological destruction using actinobacteria are simulated by the first order kinetic equations with a linearly varying reaction factor. The time dependences of the mathematical expectation, variance, and standard deviation were derived analytically from experiments on the repeatability of the process of biological destruction. In addition, the areas of realisations were identified at repeating under the hypothesis of a normal distribution of the system of random variables in each section of the process. In these areas, we may predict with a certain probability the course of the process in time.

Процесс биологической деструкции имеет биомеханический характер, так как подвод питательных субстратов колониям иммобилизованных актинобактерий осуществляется механическим путем при интенсивном перемешивании культуральной жидкости в орбитальном шейкере. В силу множества факторов, влияющих на результат течения, и в силу невозможности количественного описания взаимосвязи факторов –результата течения как функций времени процесс биологической деструкции можно назвать нестационарным случайным. В результате имеется реальная проблема стохастического анализа повторяемости процессов биологической деструкции в лабораторных, межлабораторных и тем более в промышленных условиях. Рассмотренные ( in vitro ) результаты экспериментов на повторяемость процесса биологической деструкции дротаверина гидрохлорида с применением актинобактерий в качестве нестационарного случайного процесса входят в класс кинетически моделируемых биомеханических случайных процессов. Особенностью класса является определенная монотонность при возрастании или убыли определяющего процесс параметра и наличие современных методов его регистрации, что позволяет произвести кинетическое моделирование реализаций случайного процесса. В результате нестационарный случайный процесс сводится к неслучайной функции системы двух случайных величин. Реализации случайного процесса биологической деструкции дротаверина гидрохлорида с применением актинобактерий моделируются кинетическими уравнениями первого порядка с линейно изменяющейся константой реакции. Для экспериментов на повторяемость процесса биологической деструкции получены аналитические зависимости математического ожидания, дисперсии и среднего квадратичного отклонения от времени, а также при гипотезе нормального закона распределения системы случайных величин в каждом сечении процесса определены области реализаций при повторении, в которых с определенной вероятностью можно прогнозировать течение процесса во времени.

Keywords

ДРОТАВЕРИНА ГИДРОХЛОРИД, ПОВТОРЯЕМОСТЬ БИОДЕСТРУКЦИИ, КИНЕТИЧЕСКОЕ МОДЕЛИРОВАНИЕ, НЕСТАЦИОНАРНЫЙ БИОМЕХАНИЧЕСКИЙ СЛУЧАЙНЫЙ ПРОЦЕСС, ФУНКЦИЯ СИСТЕМЫ ДВУХ СЛУЧАЙНЫХ ВЕЛИЧИН, СТОХАСТИЧЕСКИЙ АНАЛИЗ, ОБЛАСТИ РЕАЛИЗАЦИЙ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average