Mathematical Modeling of a Complex System for MHD Flow in Hemodynamics

2011 ◽  
Author(s):  
D.S. Sankar ◽  
Nurul Aini Jaffar ◽  
Ahmad Izani Mohamed Ismail ◽  
Atulya K. Nagar
Keyword(s):  
Mathematical Modeling ◽  
Complex System ◽  
Mhd Flow

Modeling of Building Materials as Complex Systems

2017 ◽  
Vol 730 ◽  
pp. 412-417 ◽  
Author(s):  
Irina Garkina ◽  
Alexander Danilov ◽  
Yuri Skachkov
Keyword(s):  
Mathematical Modeling ◽  
Complex System ◽  
Differential Equation ◽  
Mechanical Properties ◽  
Time Series ◽  
Building Materials ◽  
Construction Materials ◽  
Physical And Mechanical Properties ◽  
Epoxy Composites ◽  
Damping Properties

We considered the problems of mathematical modeling of composite materials in the example of the development of materials for the protection against ionizing radiation. Construction materials are provided as a complex system with the appropriate attributes. The structure and physico-mechanical properties of the material were determined by the results of the modeling of kinetic processes. Process of forming properties is described by the differential equation in deviations from the equilibrium state (as for dispersion system). It is taken into account the elastic and damping properties of the material. To predict the behavior of the building material and the formation of his private mathematical models are used a representation of the processes as of time series. It is given the algorithm for studies (with considering prehistory) of formation of the basic physical and mechanical properties of epoxy composites for radiation protection. We present an example of the identification of building materials with special properties. Approaches used effectively in the development of materials with special properties.

scholarly journals Modeling algorithm of transport and technological system operation

2020 ◽  
pp. 79-85
Author(s):  
Я.Я. Эглит ◽  
К.Я. Эглите ◽  
М.А. Шаповалова ◽  
А.А. Головенко
Keyword(s):  
Mathematical Modeling ◽  
Complex System ◽  
Mathematical Model ◽  
Relevant Information ◽  
Technological System ◽  
Terminal Complex ◽  
System Operation ◽  
General Cargo ◽  
The Mathematical Model ◽  
Modeling Algorithm

Статья посвящена разработке моделирующего алгоритма работы транспортно-технологической системы. Математическое моделирование дает возможность формально описать любую сложную систему (в нашем случае специализированный терминал по перегрузке генеральных грузов) и с помощью описания исследовать различные режимы ее функционирования. Разработанная модель позволит осуществлять выбор оптимального в заданных условиях варианта функционирования перегрузочного комплекса, но, как любая математическая модель, она не учитывает неформализуемую часть релевантной информации. На специализированном терминале происходят сложные и многообразные процессы, связанные с перегрузкой различных грузов, контейнеров и других генеральных грузов, что не позволяет построить абсолютно адекватную математическую модель. Поэтому в математической модели представлены только основные, характерные для моделирующей системы, закономерности. При этом второстепенные факторы не принимаются во внимание, так как они являются несущественными. [1,3] The article is devoted to the development of a modeling algorithm for the operation of a transport and technological system. Mathematical modeling makes it possible to formally describe any complex system (in our case, a specialized terminal for transshipment of General cargo) and use the description to explore various modes of its operation. The developed model will allow you to choose the optimal option for the operation of the reloading complex under given conditions, but, like any mathematical model, it does not take into account the non-formalized part of the relevant information. At a specialized terminal, complex and diverse processes occur related to the transshipment of various cargo, containers and other General cargo, which does not allow us to build an absolutely adequate mathematical model. Therefore, the mathematical model presents only the main patterns that are characteristic of the modeling system. In this case, secondary factors are not taken into account, as they are insignificant. [1,3]

MANAGEMENT OF COMPLEX SYSTEMS: MODELING THE BIOLOGICAL PEST CONTROL

2008 ◽  
Vol 03 (01n02) ◽  
pp. 241-256 ◽  
Author(s):  
MARAT RAFIKOV ◽  
JOSÉ MANOEL BALTHAZAR ◽  
HUBERTUS F. VON BREMEN
Keyword(s):  
Mathematical Modeling ◽  
Complex System ◽  
Mathematical Models ◽  
Pest Control ◽  
Natural Enemies ◽  
Dynamic Systems ◽  
Control Strategy ◽  
Cropping System ◽  
Systems Modeling ◽  
Biological Pest Control

The aim of this paper is to study the cropping system as complex one, applying methods from theory of dynamic systems and from the control theory to the mathematical modeling of the biological pest control. The complex system can be described by different mathematical models. Based on three models of the pest control, the various scenarios have been simulated in order to obtain the pest control strategy only through natural enemies' introduction.

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.

MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT

2012 ◽  
Vol 22 (supp02) ◽  
pp. 1230004 ◽  
Author(s):  
NICOLA BELLOMO ◽  
BENEDETTO PICCOLI ◽  
ANDREA TOSIN
Keyword(s):  
Mathematical Modeling ◽  
Complex System ◽  
The Other ◽  
Living Systems ◽  
Self Organization ◽  
Mathematical Structures ◽  
Crowd Dynamics ◽  
Research Perspectives ◽  
The One ◽  
Critical Overview

This paper aims at indicating research perspectives on the mathematical modeling of crowd dynamics, pointing on the one hand to insights into the complexity features of pedestrian flows and on the other hand to a critical overview of the most popular modeling approaches currently adopted in the specialized literature. Particularly, the focus is on scaling problems, namely representation and modeling at microscopic, macroscopic, and mesoscopic scales, which, entangled with the complexity issues of living systems, generate multiscale dynamical effects, such as e.g. self-organization. Mathematical structures suitable to approach such multiscale aspects are proposed, along with a forward look at research developments.

scholarly journals MODELS OF GRAIN TRANSPORTATION IN A COMPLEX SYSTEM OF GRAIN PROCESSING PLANTS

2020 ◽  
Vol 3 (77) ◽  
pp. 26-31
Author(s):  
A.D. SAPARBAEV ◽  
◽  
A. T. MAKULOVA ◽  
A. A. ELEUSOV ◽  
◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Complex System ◽  
Qualitative Analysis ◽  
Scientific Article ◽  
Optimal Scheme ◽  
Grain Processing ◽  
Technical Ability ◽  
Processing Plants ◽  
Effective Use ◽  
Grain Farms

The purpose of the scientific article is to determine the optimal options for attaching grain farms to grain receiving enterprises. When writing the work were used methods for studying bibliographic sources and the principles of economic and mathematical modeling, systematization, synthesis, comparison, quantitative and qualitative analysis. Results of the study – the optimal options for attaching grain farms to grain receiving enterprises were determined on the basis of the effective use of their technical ability in operations of receiving, processing, placing, forming batches of grain and the optimal scheme for linking grain receiving enterprises to processing plants taking into account the distance of transportation for the intended purpose, as well as the annual needs.

Sign in / Sign up

Export Citation Format

Share Document