scholarly journals MATHEMATICAL MODELING IN SOIL BIOKINETICS

2021 ◽  
Vol 12 (2) ◽  
Author(s):  
Mikhail Vladimirovich Glagolev
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Steady State ◽  
Numerical Methods ◽  
Computer Programs ◽  
Soil Science ◽  
State University ◽  
Moscow State University

This work is a report written at the suggestion of Ph.d. N. S. Panikov in 1985 when the author was a 2nd-year student of the Faculty of Soil Science of the M. V. Lomonosov Moscow State University. The report provides an example of a mathematical model of soil biokinetics and discusses numerical methods for solving its constituent equations. For the steady state, some useful computer programs are given, and for the non steady state, references to programs published in the literature are given.

Mathematical Modeling of Biofilms

1997 ◽  
Vol 11 (1) ◽  
pp. 127-132 ◽  
Author(s):  
George H. Dibdin
Keyword(s):  
Mathematical Modeling ◽  
Complex System ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Mathematical Models ◽  
Diffusion Coefficients ◽  
Theoretical Basis ◽  
Reversible Reaction ◽  
Mathematical Equations ◽  
Insight Into

A set of mathematical equations constitutes a mathematical model if it aims to represent a real system and is based on some theory of that system's operation. On this definition, mathematical models, some very simple, are everywhere in science. A complex system like a biofilm requires modeling by numerical methods and, because of inevitable uncertainties in its theoretical basis, may not be able to make precise predictions. Nevertheless, such models almost always give new insight into the mechanisms involved, and stimulate further investigation. The way in which diffusion coefficients are measured for use in a model, particularly whether they include effects of reversible reaction, is a key element in the modeling. Reasons are given for separating diffusion from reversible reaction effects and dealing with them in a separate subroutine of the model.

scholarly journals Elements of scientometrics in the soil science and ecology (with examples from Moscow state university)

2008 ◽  
Vol 1 (1S) ◽  
pp. 31-50
Author(s):  
M V Glagolev ◽  
M V Yanin
Keyword(s):  
Scientific Publication ◽  
Publication Activity ◽  
Soil Science ◽  
State University ◽  
Science Faculty ◽  
Publish Or Perish ◽  
Citation Indexes ◽  
Basic Concepts ◽  
Moscow State University

We present some basic concepts of scientometrics and free Internet-system “Publish or Perish” which allow to calculate many “citation indexes” for each of scientists. Main errors and difficulties of “Publish or Perish” are discussed. All questions are considered at examples from scientific publication activity of Moscow State University Soil Science Faculty.

Mathematical Modeling of a High Pressure Regulator With Safety Valve

2010 ◽  
Author(s):  
Amir R. Shahani ◽  
Ashkan Aryaei ◽  
Hamid Esmaili ◽  
Mosayeb Najar ◽  
Sirvan Mohammadi
Keyword(s):  
Mathematical Modeling ◽  
High Pressure ◽  
Steady State ◽  
Numerical Methods ◽  
Air Force ◽  
Safety Valve ◽  
Equation Of Motion ◽  
Pressure Regulator ◽  
Continuity Equations ◽  
Spring Force

In this article, the mathematical modeling of a high pressure regulator with its safety valve is presented. In the first step, the performance of regulator and safety valve are investigated, separately. After that, the safety valve is connected to the output port of air regulator and the output pressure’s variation is investigated. For analyzing of air regulator and safety valve’s operation, the equation of motion of internal parts, continuity equations for chamber and the equations related to mass flow rate which passing from diverse ducts in regulator are derived, respectively. The motion’s equation consists of inertia, controlling spring force, pressurized air force and coulombs friction terms. Because of nonlinearity and coupling, these equations are solved by using numerical methods and the results are presented. Finally, the results obtained in steady state are validated by testing.

scholarly journals FORMULATION OF THE PROBLEM FOR RESEARCHING THE COMPETITION OF TWO FIRMS TAKING INTO ACCOUNT THEIR MUTUAL AWARENESS

2021 ◽  
pp. 89-93
Author(s):  
Лариса Николаевна Борисоглебская ◽  
Денис Владимирович Данилевич ◽  
Евгений Васильевич Пахолкин ◽  
Сергей Михайлович Сергеев
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Energy Efficiency ◽  
Practical Importance ◽  
Competitive Environment ◽  
State University ◽  
Digital Environment ◽  
Mutual Awareness ◽  
Innovative Products ◽  
Pure Competition

Исследование посвящено математическому моделированию ситуации конкурентного присутствия в рамках рыночной дуополии. Рассматривается ситуация чистой конкуренции и вариант взаимной осведомленности о стратегии конкурента. Результаты исследования имеют практическое значение для деятельности Инжинирингового центра технологий цифровой среды для обеспечения комплексной безопасности телекоммуникации, средств связи и энергоэффективности Орловского государственного университета им. И.С. Тургенева. Основные положения могут применяться при выборе стратегии поведения на рынке стратегически важных инновационных продуктов. Представленные в рамках данного исследования материалы и математическая модель, разработанные в соответствии с программой деятельности Инжинирингового центра, созданного на базе ОГУ им. И.С. Тургенева, по направлению технологий цифровой среды для обеспечения комплексной безопасности телекоммуникации, средств связи и энергоэффективности дают возможность осуществить прогнозный расчет экономически важных показателей и сопутствующих издержек в условиях конкурентного окружения. The study is devoted to mathematical modeling of the situation of competitive presence within the framework of a market duopoly. The situation of pure competition and the variant of mutual awareness of the competitor's strategy is considered. The results of the study are of practical importance for the activities of the Engineering Center for Digital Environment Technologies to ensure the integrated security of telecommunications, communications and energy efficiency of the Oryol State University. I.S. Turgenev. The main provisions can be applied when choosing a strategy of behavior in the market of strategically important innovative products. The materials and mathematical model presented in the framework of this research, developed in accordance with the program of activities of the Engineering Center, created on the basis of the OSU named after I.S. Turgenev, in the direction of digital environment technologies to ensure integrated security of telecommunications, communications and energy efficiency, make it possible to carry out a predictive calculation of economically important indicators and associated costs in a competitive environment.

scholarly journals MODELING THE TELESCOPIC CONNECTION DEVICE OF RAINBOW MUSCLE PROTESES

2020 ◽  
Vol 73 (4) ◽  
pp. 751-754
Author(s):  
Yuliia Ye. Tarashevska
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Computer Programs ◽  
Total Force ◽  
Dynamic Force ◽  
Retention Force ◽  
Design Materials ◽  
Connection Design ◽  
The Mathematical Model ◽  
The Given

The aim: Mathematical modeling and peculiarities of the proposed telescopic connection design. Materials and methods: For the implementation of the mathematical model of telescopic joints of removable dentures, elements of the external and internal parts of such a design having the same nominal angles of cones, or identical nominal cones of these parts are considered. Results: Dependence of retention force is determined from various parameters, equating it with equilibrium values of compressive dynamic force and the total force of friction. Connection is set between the separate geometricalparameters of elements of telescopic cone connection andoperating between them various internal and external efforts.At creation of different individual modifications of theseconnections, gives possibility, attracting the values ofcorresponding geometrical or power elements, that isrationed or accepted on results measuring or scanouts, toexpect other parameters that is determined in dependenceon preliminary appointed. Conclusions: The given mathematical dependences can be represented as algorithms of calculation and realized by computer programs.

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

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