scholarly journals Uptake of cadmium by Pseudokirchneriella supcapitata

2005 ◽  
Vol 48 (6) ◽  
pp. 1027-1034 ◽  
Author(s):  
Magela Paula Casiraghi ◽  
Samuel Luporini ◽  
Eduardo Mendes da Silva
Keyword(s):  
Mathematical Model ◽  
Metal Ions ◽  
Simulation Model ◽  
Kinetic Parameters ◽  
Cellular Membrane ◽  
Surface Absorption ◽  
Fast Absorption ◽  
Passive Adsorption ◽  
Two Stages ◽  
The Mathematical Model

In this work the microalgae Pseudokirchneriella supcapitata was used for the removal of the cadmium in liquids. The accumulations of metal ions by the alga occur in two stages: a very fast absorption (passive adsorption) proceeded by a slower absorption (activate absorption). A mathematical model based on the surface absorption and on the transport into the interior of the cellular membrane was developed. The simulation model kinetic parameters were experimentally obtained. Through the results observed, the mathematical model was shown to be suitable when compared to the experimental results, confirming the validation of the mathematical model.

A High Performance Model for Task Allocation in Distributed Computing System Using K-Means Clustering Technique

2018 ◽  
Vol 9 (3) ◽  
pp. 1-23 ◽  
Author(s):  
Harendra Kumar ◽  
Nutan Kumari Chauhan ◽  
Pradeep Kumar Yadav
Keyword(s):  
Mathematical Model ◽  
Distributed Computing ◽  
High Performance ◽  
Computing System ◽  
Performance Model ◽  
Communication Costs ◽  
Clustering Technique ◽  
Proposed Model ◽  
Two Stages ◽  
The Mathematical Model

Tasks allocation is an important step for obtaining high performance in distributed computing system (DCS). This article attempts to develop a mathematical model for allocating the tasks to the processors in order to achieve optimal cost and optimal reliability of the system. The proposed model has been divided into two stages. Stage-I, makes the ‘n' clusters of set of ‘m' tasks by using k-means clustering technique. To use the k-means clustering techniques, the inter-task communication costs have been modified in such a way that highly communicated tasks are clustered together to minimize the communication costs between tasks. Stage-II, allocates the ‘n' clusters of tasks onto ‘n' processors to minimize the system cost. To design the mathematical model, executions costs and inter tasks communication costs have been taken in the form of matrices. To test the performance of the proposed model, many examples are considered from different research papers and results of examples have compared with some existing models.

The Control and Model of Synchronous Generator on Ship

2012 ◽  
Vol 195-196 ◽  
pp. 1095-1101
Author(s):  
Le Luo ◽  
Lan Gao ◽  
Liang Chen ◽  
Liang Hu
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Simulation Model ◽  
Synchronous Generator ◽  
Excitation Control ◽  
Synchronous Generators ◽  
Simulation Test ◽  
Power Station ◽  
Model And Simulation ◽  
The Mathematical Model

This paper analyzes the characteristics of marine power station. The mathematical model and simulation model of synchronous generators AVR+PSS excitation control system was built. At last the simulation test of suddenly add load was did in MATLAB/simulink environment. The result shows that the excitation control system has well stability, rapidity and some robustness.

Research on the Simulation of Tension Control System of the Traction Wire Rope Cleaning and Detection Line of Pay-Off Unit

2014 ◽  
Vol 635-637 ◽  
pp. 1451-1456
Author(s):  
Guo Ping Li ◽  
Yan Fei Gao ◽  
Cheng Wang
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Simulation Model ◽  
Wire Rope ◽  
Tension Control ◽  
General Law ◽  
Braking Torque ◽  
Magnetic Braking ◽  
Tension Control System ◽  
The Mathematical Model

Take the traction wire rope cleaning and detection line of pay-off unit as an example, investigate the general law of the change during paying off of traction wire rope cleaning and detection line and build the mathematical model in each step of the paying off tension control system. Build the simulation model using MATLAB on the foundation of the mathematical model and research on the model. Afterwards, it is proved that the demand of keeping the tension of pay-off unit constant can be meet through regulating magnetic braking torque of pay-off unit.

scholarly journals Assessment of the Efficient Strategies for Applying Antitumor Viral Vaccine Therapy Based On Mathematical Modeling

2019 ◽  
Vol 14 (1) ◽  
pp. 34-53 ◽  
Author(s):  
N.A. Babushkina ◽  
E.A. Kuzina ◽  
A.A. Loos ◽  
E.V. Belyaeva
Keyword(s):  
Mathematical Model ◽  
Immune Response ◽  
Tumor Cells ◽  
Tumor Size ◽  
Single Shot ◽  
Complete Elimination ◽  
Antitumor Therapy ◽  
Viral Vaccine ◽  
Two Stages ◽  
The Mathematical Model

The paper presents the mathematical description of the two stages of tumor cells’ death as a result of immune response after antitumor viral vaccine introduction. This mathematical description is presented by the system of nonlinear equations implemented in the MatLab-Simulink system. As a result of the computing experiment, two strategies for effective application of the antitumor viral vaccine were identified. The first strategy leads to complete elimination of the tumor cells after a single-shot administration of the vaccine. The second strategy makes it possible to stabilize tumor size through the recurrent introductions of the vaccine. Using the mathematical model of antitumor therapy, appropriate dosages were identified based on the number of tumor cells that die at the two stages of immune response. Dynamics of tumor growth for the two strategies of the viral vaccine application was forecasted based on the mathematical model of antitumor therapy with discontinuous trajectories of tumor growth. The computing experiments made it possible to identify initial tumor size at the start of the therapy and the dosages that allow complete elimination of the tumor cells after the single-shot introduction. For the second strategy, dosages and intervals between recurrent vaccine introductions required to stabilize tumor size at the initial level were also identified. The proposed approach to exploring the effectiveness of vaccine therapy may be applied to different types of experimental tumors and antitumor vaccines.

Development and automation of algorithm for determining basis of nonlinear parameter functions of kinetic constants

2019 ◽  
Vol 19 (4) ◽  
pp. 252-257
Author(s):  
A. S. Ismagilova ◽  
Z. A. Khamidullina ◽  
S. I. Spivak
Keyword(s):  
Mathematical Model ◽  
Kinetic Parameters ◽  
Platinum Catalyst ◽  
Hydrogen Oxidation ◽  
Nonlinear Parameter ◽  
Kinetic Constants ◽  
Model Parameters ◽  
Functional Relations ◽  
The Mathematical Model ◽  
Theoretical Issues

Mathematical modeling of catalytic processes is necessary for the complete and accurate description, as well as for controlling the quality and physicochemical studied of catalysts. In the paper, theoretical issues of industrial catalysis are discussed. The work is devoted to theoretical graph analysis of informativity of kinetic parameters of the model of a complex chemical reaction. The aim is the development and automation of algorithm for determining basis of nonlinear parameter functions in solving inverse problems of chemical kinetics in order to define the number and form of independent combinations of rate constants of elementary stages. A program package for analysis of informativity of kinetic parameters of the mathematical model of a complex catalytic reaction is developed and described. The obtained functional relations between the kinetic parameters can be useful for experimentalists in physicochemical interpretation and analysis of mechanisms of chemical reactions. In other words, the proposed method allows independent combinations of kinetic constants to be distinguished that results in shortening the number of the model parameters and, as a consequence, enhance the accuracy of the mathematical model. The mechanism of hydrogen oxidation over a platinum catalyst is given as an example of the use of the software.

Mathematical Model of the Servo Drive with Friction Wheals. Simulations and Real Object Examination Results

2013 ◽  
Vol 198 ◽  
pp. 15-20 ◽  
Author(s):  
Lukasz Fracczak
Keyword(s):  
Mathematical Model ◽  
Cardiac Surgery ◽  
Control System ◽  
Simulation Model ◽  
Degrees Of Freedom ◽  
Point Of View ◽  
Real Object ◽  
Servo Drive ◽  
Two Degrees Of Freedom ◽  
The Mathematical Model

In this paper the servo drive with friction wheels is presented. The servo drive is designed to move the automatic laparoscope tool or laparoscope camera (thereinafter laparoscope sleeve or sleeve) in two Degrees of Freedom (DOF). The description of the drive mechanism, operating principle and mathematical model of this drive is presented. Based on this model, the Control System (CS) has been created, and used to the construction of a simulation model. The simulation illustrates the proper functionality of the mathematical model of the servo drive with the described CS. This paper also presents the servo drive test stand and the most important examination results from the point of view of using them in the cardiac surgery Robin Heart robot.

Research of Simulation Model for Non-Linear Turbine Regulating System

2011 ◽  
Vol 354-355 ◽  
pp. 569-574 ◽  
Author(s):  
Mei Feng Sun ◽  
Rui Lian Wang ◽  
Jia Wang ◽  
Jing Bin Lu
Keyword(s):  
Mathematical Model ◽  
Simulation Model ◽  
Transition Process ◽  
Hydraulic Turbine ◽  
Large Fluctuation ◽  
Transfer Coefficients ◽  
Operating Condition ◽  
Hydro Turbine ◽  
Governing System ◽  
The Mathematical Model

In the large fluctuation transition process of hydropower unit, hydraulic turbine operating condition changes drastically, following the change, hydraulic-turbine transfer coefficients also change drastically, thus the mathematical model of hydro-turbine governing system is nonlinear. This paper establishes simulation model of large fluctuation transition process in SIMULINK software, puts forward a method of establishing simulation model of nonlinear hydro-turbine governing system.

The Simulation of Submarine-Launched Missile Out-Water Movement Based on MATLAB/Simulink

2012 ◽  
Vol 182-183 ◽  
pp. 1328-1332 ◽  
Author(s):  
Yong Qing Lian ◽  
Bing Tian ◽  
Shu Zong Wang
Keyword(s):  
Mathematical Model ◽  
Simulation Model ◽  
Water Movement ◽  
Trajectory Design ◽  
Matlab Simulink ◽  
The Mathematical Model

According to the characteristic of out-water movement of submarine-launched missile, a mathematical model was developed. Then a simulation model was established in Matlab/simulink environment based on the mathematical model, and the simulation was made. The result of the simulation shows that the simulation model can describe the submarine missile out-water movement perfectly, and the study may provide powerful base to the submarine missile trajectory design.

scholarly journals The mathematical model of the pilot’s ejection process by using the K-36DM ejection seat

2018 ◽  
Vol 48 (1) ◽  
pp. 515-541
Author(s):  
Grzegorz Kowaleczko ◽  
Andrzej Długołęcki ◽  
Marek Sosnowski
Keyword(s):  
Mathematical Model ◽  
Simulation Model ◽  
Flight Phase ◽  
Ejection Process ◽  
The Mathematical Model

Abstract The article presents a mathematical model of ejection process, which can be used to analyse the movement of the seat-pilot system in flight phase until ejecting the headrest and may also be utilised to assess the movement of the seat after the pilot has separated when the seat has been propelled out of the aircraft. By constructing the model, the information was used regarding the K-36DM ejection seat, which was supplemented with data on other ejection seats. The demonstrated mathematical model provides a basis to produce a simulation model useful in estimating the efficiency of ejection applying the K-36DM seat.

The Design and Simulation Test Research of Electrical Mechanical Brake

2011 ◽  
Vol 421 ◽  
pp. 526-531 ◽  
Author(s):  
Zhu Lin Zhang ◽  
Ru Quan Dai ◽  
Chang Feng Zhou
Keyword(s):  
Mathematical Model ◽  
Simulation Model ◽  
Prototype Model ◽  
Simulation Test ◽  
Vehicle Type ◽  
Adams Software ◽  
Reliable Performance ◽  
Working Principle ◽  
The Mathematical Model ◽  
Reaction Speed

The Electrical Mechanical Brake(EMB) is advanced with plenty functions of ABS, TCS and ESP etc. EMB has a very good development prospect for its good reaction speed and reliable performance as well as easy installation maintenance. It is necessary to study the method of design and simulation of EMB. First, the structure, working principle and the related parts mathematical model of EMB were introduced and the mathematical model of motor was built; second, virtual prototype model of EMB was designed in Pro/e software and developed with constraint and parameter set in adams software; finally, we built the co-simulation model of EMB using adams and Simulink and chosen a certain vehicle type to analyze and verify. The result shows that this method is efficient and feasible.

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