Lattice Computing: A Mathematical Modelling Paradigm for Cyber-Physical System Applications

By “model”, we mean a mathematical description of a world aspect [...]

Methodology for comparing the energy efficiency of methods for regulating the performance of a blower station

A methodology for comparing the energy efficiency of different methods of regulating the total productivity of a blower station is presented. The basic principles of electrical modeling of duct networks are shown for the mathematical description of their properties and characteristics. The results of a comparison of the energy efficiency of regulating methods for a single fan and a group of five fans operating on a common line are presented. The conclusion about the high energy efficiency of the combination of start-stop control with smooth control using axial guide vanes for a blowing station of five fans is obtained.

Dependence of Protein Structure on Environment: FOD Model Applied to Membrane Proteins

The natural environment of proteins is the polar aquatic environment and the hydrophobic (amphipathic) environment of the membrane. The fuzzy oil drop model (FOD) used to characterize water-soluble proteins, as well as its modified version FOD-M, enables a mathematical description of the presence and influence of diverse environments on protein structure. The present work characterized the structures of membrane proteins, including those that act as channels, and a water-soluble protein for contrast. The purpose of the analysis was to verify the possibility that an external force field can be used in the simulation of the protein-folding process, taking into account the diverse nature of the environment that guarantees a structure showing biological activity.

Сonstruction of regression models for developing the technology to obtain tablets based on medicinal ginger

Scientific research in pharmacy, due to their multifactorial nature, is closely related to modeling of complex static systems. For this purpose, the so-called “input-output” mathematical models, which are built based on the results of the experiment, are widely used. Modeling of static systems based on the experimental data requires the solution of three interrelated tasks: planning of the experiment and its implementation; identification of the model structure and its parameters; approximation, if necessary, of a complex model to a simpler mathematical description.

Forbidden Zones for the Expectations of Data: New Mathematical Methods and Models for Behavioral Economics

A forbidden zone theorem, hypothesis, and applied mathematical method and model are introduced in the present article. The method and model are based on the forbidden zones and hypothesis. The article is initiated by the well-known generic problems concerned with the mathematical description of the behavior of a man. The essence of the problems consists in biases of preferences and decisions of a man in comparison with predictions of the probability theory. The model is uniformly and successfully applied for different domains. The ultimate goal of the research is to solve some generic problems of behavioral economics, decision theories, and the social sciences.

РОЗРОБКА АЛГОРИТМУ ЗАГАЛЬНОЇ СТРАТЕГІЇ АВТОМАТИЗАЦІЇ ВИБОРУ КУРСУ УХИЛЕННЯ СУДНА

During ships maneuvering, the main cause of accidents is that navigators do not always objectively assess the situation and may make wrong decisions on the identification situation of a dangerous approach and a collision hazard. The automation of the deviation course choice is considered as the automation avoidance process. Purpose. The article highlights the tasks of formalizing the deviation course as a value of automatic control, and proposes the development of an algorithm for the strategy of changing the course. Methodology. Conducted processing of practical data of own vessel. The existing models of the ship's movement were analyzes, as well as the systems for the automatic stabilization of the ship. To construct the algorithm, the COLREGs–72 was decomposed with respect to the belonging of the initial situation of the vessels to one of the areas of mutual obligations. Findings. According to the results of the given theme, an algorithm of the general strategy of choosing the course of evasion of the vessel was developed, considering the requirements of COLREG–72 rules. It were considered the types of control of automatic regulators and their limitations at the initial and final moments of the ship's turn. It was found out. It is necessary to create a multilevel mathematical description, which will include subsystems of different levels, to build a model of an integrated control system. Originality. It was determined the efficiency of using the principle of execution of ship’s turns by the method of observation with a given influence by analyzing the existing models of ship’s movement. It was offered to use the range of acceptable values of courses during the development of the model of automation ship avoidance process. Practical value. An algorithm for the general strategy of automation of the avoidance course selection was developed.

Mathematical Description of Energy Transition Scenarios Based on the Latest Technologies and Trends

This work, dedicated to a mathematical description of energy transition scenarios, consists of three main parts. The first part describes modern trends and problems of the energy sector. A large number of charts reflecting the latest updates in energy are provided. The COVID-2019 pandemic’s impacts on the energy sector are also included. The second part of the paper is dedicated to the analysis of energy consumption and the structure of the world fuel and energy balance. Furthermore, a detailed description of energy-efficient technologies is given. Being important and low-carbon, hydrogen is discussed, including its advantages and disadvantages. The last part of the work describes the mathematical tool developed by the authors. The high availability of statistical data made it possible to identify parameters used in the algorithm with the least squares method and verify the tool. Performing several not complicated steps of the algorithm, the tool allows calculating the deviation of the average global temperature of the surface atmosphere from preindustrial levels in the 21st century under different scenarios. Using the suggested mathematical description, the optimal scenario that makes it possible to keep global warming at a level below 1.7 °C was found.