Mathematical modelling of acute phase of myocardial infarction

2020 ◽  
Vol 35 (2) ◽  
pp. 111-126
Author(s):  
Chermen A. Tsgoev ◽  
Olga F. Voropaeva ◽  
Yuri I. Shokin
Keyword(s):  
Myocardial Infarction ◽  
Experimental Data ◽  
Mathematical Model ◽  
Acute Phase ◽  
Parametric Identification ◽  
Unknown Parameters ◽  
Inverse Coefficient Problem ◽  
Model Equations ◽  
Structural And Parametric Identification ◽  
Inverse Coefficient

Abstract A mathematical model of the dynamics of cardiomyocyte death in myocardial infarction during the acute phase of the disease is developed. An economical computing technology of structural and parametric identification of model equations is presented based on the use of experimental data as dynamic parameters and on the idea of splitting the inverse coefficient problem with a large number of unknown parameters into a sequence of simpler inverse problems. The relevance of the proposed mathematical model is confirmed by comparison of the numerical solution to the problem with experimental data and also with the results of modelling of known therapeutic strategies.

Parametric Identification Method for an Absorption Air Conditioning Parabolic Trough Collector Solar Plant

2020 ◽  
Vol 9 (4) ◽  
pp. 01
Author(s):  
Jorge Díaz - Salgado ◽  
Sandra García - López ◽  
Yuridiana R Galindo - Luna ◽  
R. J. Romero
Keyword(s):  
Mathematical Model ◽  
Air Conditioning ◽  
Least Squares Method ◽  
Flow Line ◽  
Parametric Identification ◽  
Unknown Parameters ◽  
Thermal Plant ◽  
Identification Method ◽  
Solar Plant ◽  
The Mathematical Model

In this work is established a parametric identification method for an absorption air conditioning solar plant. A scaled thermal plant, consisting of a thermal capacitor and a flow line that acts as a capacitor and thermal energy radiator is used. As the mathematical model of the scaled plant is structurally identical to that of the solar plant the first is used to determine the methodology that can be used later for the identification of the PTC solar plant. Parametric identification is a necessary step that allows to determine the unknown parameters of the mathematical model of any solar/thermal plant. This model then can be used to analyze the plant characteristics and design an appropriate control algorithm. Although the system model is nonlinear it can be expressed in the form of a linear regressor in the parameters. This permits to use the least squares method as the identification method. The method is applied to the thermal plant to identify the useful form that the covariance matrix and excitation signals should have to ensure that when applied to the solar plant its unknown parameters can be properly estimated. Once the solar plant parameters are properly estimated model can be used to analyze and simulate the operation of the absorption air conditioning system.

scholarly journals Dynamic Model Parameter Identification and Simulation of SCR Based on Genetic Algorithm§

2015 ◽  
Vol 9 (1) ◽  
pp. 62-66
Author(s):  
Ren Hongjuan ◽  
Lou Diming ◽  
Zhu Jian ◽  
Luo Yiping
Keyword(s):  
Experimental Data ◽  
Genetic Algorithm ◽  
Kinetic Model ◽  
Parameter Identification ◽  
Dynamic Model ◽  
Unknown Parameters ◽  
Exhaust Temperature ◽  
Allowable Error ◽  
Simulation Results ◽  
Model Equations

The Selective Catalytic Reduce (SCR) is studied. The unknown parameters of the SCR kinetic model equations are fitted based on the Genetic Algorithm (GA), which is in the range of the allowable error, compared to the experimental data. Then in AVL Boost software, the simulation results of SCR reaction are obtained. Compared to the test data, the simulation results prove that the parameter identification is effective. At last, the SCR reaction is simulated in AVL Boost, and at the same exhaust temperature, the effect of GHSV and NSR on the SCR reaction is studied.

scholarly journals DETERMINING OF OPERATIONAL PARAMETERS FOR TRAWL SYSTEM TAKING INTO ACCOUNT EXPERIMENTAL DATA ON SHAPE OF THE ROPE-NET SHELL OF MIDWATER TRAWLS

2020 ◽  
Vol 200 ◽  
pp. 193-209
Author(s):  
O. N. Kruchinin ◽  
E. A. Zakharov ◽  
D. L. Shabelsky
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Empirical Equations ◽  
Okhotsk Sea ◽  
Operational Parameters ◽  
Midwater Trawl ◽  
Biological Resources ◽  
Hydroacoustic Measurements ◽  
Model Equations ◽  
The Mathematical Model

Calculating of horizontal opening for a trawl mouth using the mathematical model of midwater trawl system developed by V.I. Gabryuk gives the errors 25.4 and 32.9 %, on average, for the trawls RT 57/360 m and RT 80/396 m, respectively. The significant errors cause doubts about correctness of this model equations application for calculation of the catch zone that is necessary for assessment of abundance and biomass of marine biological resources. New empirical equations are proposed on the basis of experimental data on shape of the rope-net shell of a midwater trawl, which allow to calculate the horizontal opening for its certain sections. The errors of the horizontal opening calculation with these new equations are 13.7 and 6.1 %, on average, for the trawls RT 57/360 m and RT 80/396 m, respectively, that is satisfactory for using them for calculating operational parameters of a midwater trawl system. The operational parameters of the midwater trawls RT 57/360 m and RT 80/396 m are calculated using Baranov’s approach with these new empirical equations, and their good adequacy is shown in the experiment with hydroacoustic measurements of the trawls mouth horizontal opening and the distance between the trawl doors conducted aboard RV TINRO and RV Professor Kaganovsky in the Okhotsk Sea in 2012–2015.

scholarly journals COMPARATOR IDENTIFICATION OF THE MULTI-FACTOR EVALUATION MODEL OF ALTERNATIVES USING THE BAGGING METHOD

2019 ◽  
Vol 2 (93) ◽  
pp. 21-27
Author(s):  
K. E. Petrov ◽  
Т. S. Chaynikova ◽  
I.V. Kobzev ◽  
V.G. Demchuk
Keyword(s):  
Mathematical Model ◽  
Computer Model ◽  
Evaluation Model ◽  
Parametric Identification ◽  
Expert Assessment ◽  
Identification Methods ◽  
One Step ◽  
Factor Evaluation ◽  
Structural And Parametric Identification ◽  
Bagging Method

Proponent one step before the solution of the problem to induce a mathematical model of a multi-factor assessment of alternatives, which is based on the ideas of the theory of comparator identification. Methods of structural and parametric identification are seen. The structure of the model is established within the framework of the Kolmogorov-Gabor polynomial, which allows the synthesis of both traditional additive and multiplicative, as well as models of a multi-factor assessment of alternatives to present folding. To increase the accuracy of the model, a victorious ensemble of models is proposed, aggregating that work on the basis of the running method. The results of a computer model have been introduced, which will confirm the effectiveness of the described approach. Propagation of ideas based on the prospect of advancing the effectiveness of the identification of models for expert assessment of alternatives.

МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ДИНАМИКИ МИНЕРАЛЬНОГО ПИТАНИЯ РАСТЕНИЙ В СИСТЕМЕ «УДОБРЕНИЕ-ПОЧВА-РАСТЕНИЕ»

2020 ◽  
Vol 65 (6) ◽  
pp. 1219-1229
Author(s):  
В.А. Четырбоцкий ◽  
◽  
А.Н. Четырбоцкий ◽  
Б.В. Левин ◽  
◽  
...  
Keyword(s):  
Experimental Data ◽  
Temporal Dynamics ◽  
Plant Biomass ◽  
Environmental Parameters ◽  
Parametric Identification ◽  
Agricultural Crop ◽  
Parameter System ◽  
Plant Nitrogen ◽  
Rhizosphere Microorganisms ◽  
Nitrogen Phosphorus

A numerical simulation of the spatial-temporal dynamics of a multi-parameter system is developed. The components of this system are plant biomass, mobile and stationary forms of mineral nutrition elements, rhizosphere microorganisms and environmental parameters (temperature, humidity, acidity). Parametric identification and verification of the adequacy of the model were carried out based on the experimental data on the growth of spring wheat «Krasnoufimskaya-100» on peat lowland soil. The results are represented by temporal distributions of biomass from agricultural crop under study and the findings on the content of main nutrition elements within the plant (nitrogen, phosphorus, potassium). An agronomic assessment and interpretation of the obtained results are given.

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