scholarly journals MATHEMATICAL MODEL OF SELECTION OF PHENOTYPES OF BRONCHIAL ASTHMA AT THE RESORT STAGE OF MEDICAL REHABILITATION

2018 ◽  
Vol 1 (68) ◽  
pp. 17-22
Author(s):  
Лейла Дудченко ◽  
Leila Dudchenko ◽  
Валентин Савченко ◽  
Valentin Savchenko
Keyword(s):  
Mathematical Model ◽  
Discriminant Analysis ◽  
Bronchial Asthma ◽  
Medical Rehabilitation ◽  
Discriminant Functions ◽  
Linear Discriminant ◽  
Arterial Blood ◽  
6 Minute Walk Test ◽  
The Mathematical Model ◽  
Selection Of

The aim of the research is to develop a mathematical model of selection of phenotypes of bronchial asthma (BA) at a resort stage of medical rehabilitation. Materials and methods: 300 patients with BA who arrived at the climatic resort for medical rehabilitation; values of 64 indices of the research describing features of emergence and a course of a disease; the current clinic-functional state of patients; the discriminant analysis for the creation of a mathematical model. Results of the research: by the discriminant analysis there were created 7 statistically significant linear discriminant functions for the discernment of BA phenotypes; 23 indices of the research were under study: gender, asthma control, quantity of not allergic associated diseases, coughing during the day, character of the sputum, expressiveness of symptoms of asthma, use of rescue medication, the number of dry rattles in lungs, severity of hypostases, systolic and diastolic arterial blood pressure, shortness of breath, wheezing, reaction to the change of weather, allergic reactions, existence of symptoms of intoxication and feature of treatment of the last exacerbation, a dose of inhaled glucocorticosteroids, presence of emphysema and fibrosis in lungs at the X-ray examination, expressiveness of electrographic changes, FEF25-75%, 6-minute walk test. Conclusion: the procedure of the selection of 7 BA phenotypes at the resort stage of medical rehabilitation can be carried out by the use of the mathematical model consisting of 7 linear discriminant functions including 23 indices; the accuracy of the selection of the offered BA phenotypes of the developed mathematical model in general is 89.0%.

The envelope method in the problem of choosing a rational composition of measuring instruments

2021 ◽  
pp. 68-72
Author(s):  
Il'ya A. Meshchikhin ◽  
Sergej S. Gavryushin
Keyword(s):  
Mathematical Model ◽  
Monitoring Systems ◽  
Measuring Instruments ◽  
Key Points ◽  
Envelope Method ◽  
Loaded State ◽  
The Mathematical Model ◽  
Selection Of ◽  
Rational Composition

As part of the development of monitoring systems for the operation of technical objects, the problem of improving the quality of monitoring systems for the loaded state is considered. Based on the analysis of the mathematical model of the structure and its loading, a methodology for the selection of measuring instruments was developed. The urgency of the problem of calculating substantiation of the choice of key points of the structure is shown, at which it is possible to measure deformations for the subsequent restoration of the existing loads with maximum accuracy. An approach based on the envelope method for determining the rational composition of measuring instruments for restoring the loads acting on the structure is stated.

Аpplication of the mathematical model of human torso for modeling abbreval influence in wound ballistics

2020 ◽  
Vol 22 (3) ◽  
pp. 132-139
Author(s):  
A. V. Denisov ◽  
M. D. Stepanov ◽  
N. A. Haraldin ◽  
A. V. Stepanov ◽  
A. I. Borovkov ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Element Model ◽  
Mechanical Action ◽  
Calculation Model ◽  
Calculation Results ◽  
Automated Processing ◽  
Original Calculation ◽  
Using Data ◽  
The Mathematical Model ◽  
Selection Of

Abstract. In the work, a review of scientific articles on the behavior of tissues and organs of the human body under local mechanical effects on it, as well as a description of the physico-mechanical properties of biological materials. The selection of mechanical behavior for each biological material as part of a mathematical model of the human torso was carried out, its finite element model was created, validation experiments were modeled using data presented in the literature. An original calculation model of a human torso with a tuned interaction of organs with each other was developed. Contact interaction parameters are determined. The developed computational model of a human torso was verified based on data from open sources for an experiment with mechanical action by a cylindrical impactor. An algorithm for processing pressure and acceleration graphs has been implemented in order to obtain tolerance curves. A specialized modular program has been created for the automated processing of calculation results and the output of the main results. 42 numerical tests were carried out simulating the entry of a steel ball into each of 21 zones for power engineers of 40 and 80 J. According to the results of the tests for each organ, pressure and acceleration tolerance curves were obtained, animations of the behavior of organs under shock were created, visualization of the pressure field propagation in organs was obtained torso.

scholarly journals Using Linear Discriminant Analysis to Classify Snowfall Situations into Avalanching and Non-Avalanching Ones

1977 ◽  
Vol 19 (81) ◽  
pp. 679-680
Author(s):  
N.F. Drozdovskaya
Keyword(s):  
Discriminant Analysis ◽  
Statistical Methods ◽  
Training Sample ◽  
Dispersion Analysis ◽  
Snow Accumulation ◽  
Discriminant Functions ◽  
Prognostic Information ◽  
Individual Parameter ◽  
Linear Discriminant ◽  
Avalanche Forecasting

Abstract The existing methods of predicting avalanche danger often do not meet users’ demands because of the empiric character of the insufficient volume of information used. In such forecasts the contribution of each individual parameter into the prognostic information is unknown, and this is very important when studying such an event as avalanche formation, which is conditioned by a complex interaction of numerous factors, including snow accumulation, the state of snow thickness, and the conditions of its development. It is obvious that such problems can be successfully solved by statistical methods, and that explains the growing interest in numerical methods of avalanche forecasting. Problems of multi-dimensional observations arises in many scientific fields. The method suited for this problem is discriminant analysis, the purpose of which is to divide a multi-dimensional observation vector into predetermined classes. This study considers the prognostic (diagnostic) problems of fresh-snow avalanches released during snowfall or in the two days after it has ceased. The theoretical basis is a complex of statistical methods: correlation and dispersion analysis, “sifting" for the choice of predictors’ informative groups, construction of linear parametric discriminant functions, predictions based on training sample, and verification of discriminant functions based on independent material. The archive used in the study consisted of 500 avalanching cases and 1 300 non-avalanching ones. All situations were grouped according to geomorphological characteristics. Each situation is described by eight meteorological characteristics. The results of classification of snowfall situations into avalanching and non-avalanching ones are as follows: reliability of ρ is from 75% to 91%, H from 0.15 to 0.51; based on independent material the reliability of ρ is from 63% to 85%, H from 0.10 to 0.56. This paper has been accepted in revised form for publication in a later issue of the Journal of Glaciology.

Control Curves Method of Airframe Geometry Modeling

2013 ◽  
Vol 199 ◽  
pp. 279-284
Author(s):  
Stanisław Kachel
Keyword(s):  
Mathematical Model ◽  
Programming Language ◽  
Methodological Approach ◽  
Aircraft Structures ◽  
Interactive Programming ◽  
Geometry Modeling ◽  
Curves And Surfaces ◽  
Cad Cam ◽  
The Mathematical Model ◽  
Selection Of

The paper presents the methodological approach to development of curves by selection of driving parameters with the application of the method to designing and reproduction of aircraft surfaces on the examples of both newly designed aircrafts and the ones that are already in service. The major assumptions are outlined that are necessary to develop the mathematical model of driving curves and surfaces, these assumptions served as the basis to draw up the relevant algorithms and to convert them to routines of the GRIP (Graphics Interactive Programming) language that is a part of the CAD/CAM/CAE Unigraphics system. These algorithms include the newly developed tool dedicated to design aircraft components and provided with inputs to the multi-criteria synthesis of the aerodynamic profiles of aircrafts. The study comprises also the assumptions to the newly developed algorithms dedicated to modelling of components incorporated into aircraft structures, these algorithms have been successfully implemented by the author.

scholarly journals Optimization of the selection of sections in the distribution line considering reactive power compensation

2020 ◽  
Vol 216 ◽  
pp. 01070
Author(s):  
Ivan Bandurin ◽  
Vladimir Ivanov ◽  
Igor Kozyrev ◽  
Vladimir Korobov ◽  
Alexey Khaimin ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Power Consumption ◽  
Reactive Power ◽  
Reactive Power Compensation ◽  
End Users ◽  
Active Power ◽  
Distribution Line ◽  
The Mathematical Model ◽  
Selection Of

Today, the increase in reactive power consumption far exceeds the increase in active power consumption. Due to the increasing demands of the end-users for the quality of the supply of electricity, the problem of joint selection of rational sections and places of installation of reactive power compensation in the distribution line becomes relevant. A mathematical model and algorithm allowing such a choice are proposed. The mathematical model can be used both in the design of new lines and in the reconstruction of existing lines. An example is given.

Development of methodology bases of the network mathematical models transportation and technological flows timber.

2017 ◽  
Vol 6 (2) ◽  
pp. 63-68
Author(s):  
Бурмистрова ◽  
Olga Burmistrova ◽  
Пильник ◽  
Yuliya Pilnik
Keyword(s):  
Mathematical Model ◽  
Quality Management ◽  
Mathematical Models ◽  
Transport Systems ◽  
Object Model ◽  
Optimal Solutions ◽  
Mechanical Modeling ◽  
High Quality ◽  
The Mathematical Model ◽  
Selection Of

The mathematical-mechanical modeling - is the study of complex transport systems (processes) through on-the structure and the research object model. Mathematical models allow a pre-selection of optimal solutions according to specific criteria. These scientifically based and are designed to help leaders in the development, validation and acceptance of efficient, high-quality management decisions in the forest complex. But it must be a pony-mother, that any solution obtained by calculating the mathematical model, optimal only for one or more criteria.

Relationships between Hordeum bulbosum L. subsp. bulbosum and H. bulbosum subsp. nodosum comb, et stat. nov.

1985 ◽  
Vol 63 (4) ◽  
pp. 735-743 ◽  
Author(s):  
Bernard R. Baum ◽  
L. Grant Bailey
Keyword(s):  
Data Analysis ◽  
Discriminant Analysis ◽  
Exploratory Data Analysis ◽  
Correct Identification ◽  
Hordeum Bulbosum ◽  
Discriminant Functions ◽  
Morphometric Characters ◽  
Linear Discriminant ◽  
Group Assignment ◽  
Exploratory Data

Material of the diploid (HBD) and tetraploid (HBT) Hordeum bulbosum collected in the Mediterranean and Near East areas was examined for 14 morphometric characters. Exploratory data analysis revealed that cilia on the margins of the glumes of the central spikelets may or may not be present in HBT but are never present in HBD. The data were submitted to various kinds of discriminant analysis in which group assignment was based on ploidy level. When presence–absence of cilia on glume margins is used in combination with the resulting linear discriminant functions (DF) there is about 91% probability of correct identification; with DF alone there is about 81% probability. The results of discriminant analysis provided justification, in the opinion of the authors, to regard HBD and HBT as separate taxa at the level of subspecies, namely H. bulbosum subsp. bulbosum and H. bulbosum L. subsp. nodosum (L.) Baum.

Biochemical individuality and the recognition of personal profiles with a computer.

1980 ◽  
Vol 26 (1) ◽  
pp. 30-36 ◽  
Author(s):  
E A Robertson ◽  
A C Van Steirteghem ◽  
J E Byrkit ◽  
D S Young
Keyword(s):  
Discriminant Analysis ◽  
Continuous Flow ◽  
Nonlinear Mapping ◽  
Biochemical Profile ◽  
Discriminant Functions ◽  
Linear Discriminant ◽  
Testing Period ◽  
Linear Maps ◽  
Non Linear

Abstract Multitest analysis of an individual's blood provides a biochemical profile that reflects his identity and pathophysiological state. During a six-week period we repeatedly profiled 10 volunteers for 22 different analytes, using continuous-flow and discrete analyzers (SMAC, KA 150 enzyme analyzer, ABA-100, AutoAnalyzers) and manual procedures. Two years later, we obtained multiple follow-up profiles. Using linear discriminant functions derived from the first five (or first 10) specimens from each subject, we were able correctly to identify 96% (or 100%) of the specimens collected during the remainder of the six-week testing period. Ninety percent of the two-year follow-up specimens were correctly identified when we used all the original profiles to calculate the discriminant functions. Deliberately mislabeled specimens were also correctly identified by discriminant analysis. Profiles of individual samples (and average profiles for each subject) were graphically displayed as computer-drawn faces and non-linear maps. Covariances between pairs of tests on repeated profiles differed significantly for different subjects. Inter-test relationships were graphically displayed by nonlinear mapping.

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