Math Model of the Passage of a Diffusible Indicator Throughout Microcirculation Based on a Stochastic Description of Diffusion and Flow

2018 ◽  
pp. 365-373
Author(s):  
V. V. Kislukhin ◽  
E. V. Kislukhina
Keyword(s):  
Math Model ◽  
Stochastic Description

Using graphs to construct a math model of a microcontroller-based system for preset rate control of a flywheel motor to be used in high-dynamics spacecraft

2020 ◽  
pp. 126-134
Author(s):  
Vladimir V. NEKRASOV
Keyword(s):  
Real Time ◽  
Rotation Rate ◽  
Control Function ◽  
Real Time Control ◽  
Math Model ◽  
The Real ◽  
Time Control ◽  
Power Matrix ◽  
High Dynamics ◽  
Stated Problem

Developing a microcontroller-based system for controlling the flywheel motor of high-dynamics spacecraft using Russian-made parts and components made it possible to make statement of the problem of searching control function for a preset rotation rate of the flywheel rotor. This paper discusses one of the possible options for mathematical study of the stated problem, namely, application of structural analysis based on graph theory. Within the framework of the stated problem a graph was constructed for generating the new required rate, while in order to consider the stochastic case option the incidence and adjacency matrices were constructed. The stated problem was solved using a power matrix which transforms a set of contiguous matrices of the graph of admissible solution edge sequences, the real-time control function was found. Based on the results of this work, operational trials were run for the developed control function of the flywheel motor rotor rotation rate, a math model was constructed for the real-time control function, and conclusions were drawn about the feasibility of implementing the results of this study. Key words: Control function, graph, incidence matrix, adjacency matrix, power matrix, microcontroller control of the flywheel motor, highly dynamic spacecraft.

scholarly journals Constructive statistics and virtual capture zones: A novel math model for CMM metrology

Procedia CIRP ◽  
2020 ◽  
Vol 92 ◽  
pp. 39-44
Author(s):  
Nathan J. Kalish ◽  
Joseph K. Davidson ◽  
Jami J. Shah
Keyword(s):  
Math Model ◽  
Capture Zones

scholarly journals On Exact and Approximate Approaches for Stochastic Receptor-Ligand Competition Dynamics—An Ecological Perspective

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 1014
Author(s):  
Polly-Anne Jeffrey ◽  
Martín López-García ◽  
Mario Castro ◽  
Grant Lythe ◽  
Carmen Molina-París
Keyword(s):  
Summary Statistics ◽  
Steady State Distribution ◽  
State Distribution ◽  
Cellular Receptors ◽  
Stochastic Description ◽  
The Matrix ◽  
Common Resource ◽  
A Cell ◽  
The Common ◽  
Cellular Medium

Cellular receptors on the cell membrane can bind ligand molecules in the extra-cellular medium to form ligand-bound monomers. These interactions ultimately determine the fate of a cell through the resulting intra-cellular signalling cascades. Often, several receptor types can bind a shared ligand leading to the formation of different monomeric complexes, and in turn to competition for the common ligand. Here, we describe competition between two receptors which bind a common ligand in terms of a bi-variate stochastic process. The stochastic description is important to account for fluctuations in the number of molecules. Our interest is in computing two summary statistics—the steady-state distribution of the number of bound monomers and the time to reach a threshold number of monomers of a given kind. The matrix-analytic approach developed in this manuscript is exact, but becomes impractical as the number of molecules in the system increases. Thus, we present novel approximations which can work under low-to-moderate competition scenarios. Our results apply to systems with a larger number of population species (i.e., receptors) competing for a common resource (i.e., ligands), and to competition systems outside the area of molecular dynamics, such as Mathematical Ecology.

Multimode Adaptive Control for Tank Gun Control System Based on Tracking Differentiator

2011 ◽  
Vol 383-390 ◽  
pp. 79-85
Author(s):  
Dong Yuan ◽  
Xiao Jun Ma ◽  
Wei Wei
Keyword(s):  
Adaptive Control ◽  
Control System ◽  
High Speed ◽  
Control Method ◽  
Reference Model ◽  
Gun Control ◽  
Math Model ◽  
Tracking Differentiator ◽  
Switch Control ◽  
Model Reference Adaptive

Aiming at the problems such as switch impulsion, insurmountability for influence caused by nonlinearity in one tank gun control system which adopts double PID controller to realize the multimode switch control between high speed and low speed movement, the system math model is built up; And then, Model Reference Adaptive Control (MRAC) method based on nonroutine reference model is brought in and the adaptive gun controller is designed. Consequently, the compensation of nonlinearity and multimode control are implemented. Furthermore, the Tracking Differentiator (TD) is affiliated to the front of controller in order to restrain the impulsion caused by mode switch. Finally, the validity of control method in this paper is verified by simulation.

Stochastic description of sea waves

2002 ◽  
Vol 40 (3) ◽  
pp. 265-274 ◽  
Author(s):  
Constantine Memos ◽  
K. Tzanis ◽  
K. Zographou
Keyword(s):  
Sea Waves ◽  
Stochastic Description

Stochastic description of quantum Brownian dynamics

2016 ◽  
Vol 11 (4) ◽  
Author(s):  
Yun-An Yan ◽  
Jiushu Shao
Keyword(s):  
Brownian Dynamics ◽  
Stochastic Description

Identifying Conditions to Implement Strategic Knowledge Management in Brazilian Corporations — SKM Math Model Application

2009 ◽  
Vol 08 (01) ◽  
pp. 67-77
Author(s):  
R. C. R. Miranda
Keyword(s):  
Knowledge Management ◽  
Organisational Culture ◽  
Decision Makers ◽  
Strategic Knowledge ◽  
Math Model ◽  
Model Application ◽  
Managerial Style ◽  
Systemic Model ◽  
Systemic Factors ◽  
Strategic Knowledge Management

This is a step forward in researching about Strategic Knowledge Management — SKM. Firstly, an overview of SKM is presented and indicating the three integrative models: conceptual model, mathematical model and systemic model. After that, the SKM math model is deeply described in order to establish a framework to the study. The research objective was to evaluate conditions to implement SKM in Brazilian corporations. Thus, a methodology of four steps was applied: formulating a questionnaire, considering variables related to systemic factors — cognition, technology, organisational culture, managerial style and context — developing a Math Model Software, that was used to collect data and consolidating results by using a MS Excel; preparing a team of researches that comprised 29 students of the Intelligence Competitive MBA in the Universidade de Brasília. The research considered 15 companies in Brazil, mostly public ones, and 56 strategists and decision makers were heard. Results revealed that the conditions are unfavorable to implement SKM model and improvement actions on systemic factors are considerably required.

The Design to Impeller of Desulfurization Agent Powder CaCO3 Grader and Establishing for its Math Model

2011 ◽  
Vol 130-134 ◽  
pp. 599-602
Author(s):  
Ji Sheng Liu ◽  
Liang Zhong
Keyword(s):  
Math Model ◽  
The Status ◽  
New Type

This article dissertated the status of classification to desulfurization agent CaCO3, designed a kind of new-type whirlpool grader, dissertated the principle and excellence of its impeller, at last we established its math model.

Development and research of math model of three-phase voltage converter for shipboard equipment

Shipbuilding ◽  
2021 ◽  
pp. 43-46
Author(s):  
P. Eliseev ◽  
S.N. Skoblikov ◽  
D.N. Anfimov
Keyword(s):  
Phase Voltage ◽  
Voltage Converter ◽  
Math Model ◽  
Three Phase
Sign in / Sign up

Export Citation Format

Share Document