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Journal articles on the topic 'Development – Mathematical models'

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Author: Grafiati

Published: 10 March 2023

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1

Eckstein, Shulamith G., and Michal Shemesh. "Mathematical models of cognitive development." British Journal of Mathematical and Statistical Psychology 45, no. 1 (May 1992): 1–18. http://dx.doi.org/10.1111/j.2044-8317.1992.tb00974.x.

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2

Szekely, Julian. "Mathematical models in new process development." JOM 42, no. 2 (February 1990): 16–21. http://dx.doi.org/10.1007/bf03220866.

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3

Gavaghan, David, Alan Garny, Philip K. Maini, and Peter Kohl. "Mathematical models in physiology." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1842 (March 22, 2006): 1099–106. http://dx.doi.org/10.1098/rsta.2006.1757.

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Computational modelling of biological processes and systems has witnessed a remarkable development in recent years. The search-term ( modelling OR modeling ) yields over 58 000 entries in PubMed, with more than 34 000 since the year 2000: thus, almost two-thirds of papers appeared in the last 5–6 years, compared to only about one-third in the preceding 5–6 decades. The development is fuelled both by the continuously improving tools and techniques available for bio-mathematical modelling and by the increasing demand in quantitative assessment of element inter-relations in complex biological systems. This has given rise to a worldwide public domain effort to build a computational framework that provides a comprehensive theoretical representation of integrated biological function—the Physiome. The current and next issues of this journal are devoted to a small sub-set of this initiative and address biocomputation and modelling in physiology, illustrating the breadth and depth of experimental data-based model development in biological research from sub-cellular events to whole organ simulations.

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4

LEVKIN, Dmytro, and Oksana ZHERNOVNYKOVA. "MATHEMATICAL MODELS’ DEVELOPMENT OF APPLIED TASKS OF GEOMETRIC DESIGN OF TECHNICAL SYSTEMS." Herald of Khmelnytskyi National University. Technical sciences 311, no. 4 (August 2022): 133–36. http://dx.doi.org/10.31891/2307-5732-2022-311-4-133-136.

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This article examines the issues of developing mathematical models for optimizing the parameters of the thermal action on the technical systems. The authors set the task of determining the optimal parameters of sources of temperature field disturbance in the technical system under the appropriate restrictions. Considering the technical characteristics of the means that ensure the process of thermal action on the material, and the peculiarities of the technological process, appropriate restrictions on the temperature field and its components are set. Checking the limits of the temperature field requires multiple calculations, which reduce thermal damage to parts of the material. To automate the objective function, it is possible to use grid processors, which, due to the use of specialized functional blocks, solve a huge number of boundary problems with computers almost instantly. Because to the selection of solutions of boundary value problems, this will allow to find optimal values of technical parameters, and therefore to increase the accuracy of the simulated process. The research of this article refers to the section on mathematical modeling and optimization of systems with distributed parameters. For mathematical modeling of these systems, boundary value problems of differential equations with partial derivatives are used. The authors present applied optimization mathematical models for controlling the distribution of the temperature field and thermal stresses in the material, minimizing its damaged parts. The last them is based on the differential criterion for evaluating the temperature of irradiation and can be used to optimize many technical, biotechnological and economic systems. A detailed analysis of the specific features of applied optimization mathematical models will allow to increase the accuracy of the development of numerical methods and hardware and software tools for calculating and optimizing the parameters of simulated systems.

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5

Shevchenko, S. S. "DEVELOPMENT OF MATHEMATICAL MODELS OF SEALING SYSTEMS." Scientific notes of Taurida National V.I. Vernadsky University. Series: Technical Sciences 1, no. 6 (2020): 165–72. http://dx.doi.org/10.32838/tnu-2663-5941/2020.6-1/27.

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6

Bibikov, S. V., V. O. Bolshakov, M. E. Kalinkina, A. G. Korobeynikov, O. I. Pirozhnikova, and V. L. Tkalich. "Development of mathematical models of micromechanical devices." IOP Conference Series: Materials Science and Engineering 560 (July 10, 2019): 012023. http://dx.doi.org/10.1088/1757-899x/560/1/012023.

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7

Grigorjan, S., E. Guseva, and M. Krass. "Some mathematical models for permafrost." GeoJournal 18, no. 4 (June 1989): 429–39. http://dx.doi.org/10.1007/bf00772697.

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8

Staribratov, Ivaylo, and Nikol Manolova. "Application of Mathematical Models in Graphic Design." Mathematics and Informatics LXV, no. 1 (February 28, 2022): 72–81. http://dx.doi.org/10.53656/math2022-1-5-app.

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The article shares the practical experience in creating graphic design in the implementation of projects in the field of applied information technology. The creation of digital art is largely based on mathematical models and concepts that give a good perception of graphics, and it is scientifically justified. The STEAM approach is considered with the idea of the transdisciplinary level of integration between mathematics, graphic design and production practice in student education. For the development of projects like logo design, magazine cover and others, we use software specialized in the field of graphic design and computer graphics. For the realization of the considered projects, among which there are also awarded ones, we use CorelDRAW, Adobe InDesign and Desmos.

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9

Oliveri, Hadrien, and Alain Goriely. "Mathematical models of neuronal growth." Biomechanics and Modeling in Mechanobiology 21, no. 1 (January 7, 2022): 89–118. http://dx.doi.org/10.1007/s10237-021-01539-0.

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AbstractThe establishment of a functioning neuronal network is a crucial step in neural development. During this process, neurons extend neurites—axons and dendrites—to meet other neurons and interconnect. Therefore, these neurites need to migrate, grow, branch and find the correct path to their target by processing sensory cues from their environment. These processes rely on many coupled biophysical effects including elasticity, viscosity, growth, active forces, chemical signaling, adhesion and cellular transport. Mathematical models offer a direct way to test hypotheses and understand the underlying mechanisms responsible for neuron development. Here, we critically review the main models of neurite growth and morphogenesis from a mathematical viewpoint. We present different models for growth, guidance and morphogenesis, with a particular emphasis on mechanics and mechanisms, and on simple mathematical models that can be partially treated analytically.

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10

Noble, Denis. "The development of mathematical models of the heart." Chaos, Solitons & Fractals 5, no. 3-4 (March 1995): 321–33. http://dx.doi.org/10.1016/0960-0779(93)e0025-7.

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11

Makhova, Larisa, Mark Haykin, Irina Glazkova, and Olga Domnina. "Development of Mathematical Models for Trucks and Cargo." Infrastructures 8, no. 2 (January 28, 2023): 17. http://dx.doi.org/10.3390/infrastructures8020017.

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International trade allows countries to expand their markets and access goods and services that otherwise may not have been domestically available. As a result of international trade, the market is more competitive. This ultimately results in more competitive pricing and brings a cheaper product home to the consumer. The development of mathematical models to optimize the delivery of goods using a limited number of trucks is an urgent task for researchers around the world. The research goal was to use a developed mathematical model that allows one to optimize the performance of transportation tasks based on the selected parameters, both in terms of a particular truck and a fleet of trucks in the Russian region. The parameters (function, condition, cost, time, and quality) were set and an algorithm for the process of matching a specific truck and cargo was developed as part of the unit transportation task. A mathematical model has been developed for performing multiple freight tasks and operating a fleet of trucks, which considering such factors as cost, time, quality, and reputation, allows one to find an acceptable solution for a specific transportation task. A mathematical model was developed that considers such factors as cost, time, quality, and reputation, allowing one to find an acceptable solution for a particular transportation task. The simulation was performed in MATLAB 2018. The parameters of the simulations were a population size of 300, a maximum number of iterations of 2000, and a probability of selection of 0.85. From the 30 runs, the optional value was chosen as the best solution. The developed mathematical models have been tested for solving single and multiple transport problems under truck fleet simulation conditions. The results of the work can be used to optimize the operation of truck fleets in the Russian Federation and other countries.

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12

Getis, Arthur. "Introduction: Mathematical models in geography." Papers in Regional Science 72, no. 3 (July 1993): 201–2. http://dx.doi.org/10.1007/bf01434272.

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13

Getis, Arthur. "INTRODUCTION: MATHEMATICAL MODELS IN GEOGRAPHY." Papers in Regional Science 72, no. 3 (January 14, 2005): 201–2. http://dx.doi.org/10.1111/j.1435-5597.1993.tb01872.x.

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14

Tedeschi, Luís Orlindo, Danny Gene Fox, Roberto Daniel Sainz, Luís Gustavo Barioni, Sérgio Raposo de Medeiros, and Celso Boin. "Mathematical models in ruminant nutrition." Scientia Agricola 62, no. 1 (January 2005): 76–91. http://dx.doi.org/10.1590/s0103-90162005000100015.

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Mathematical models can be used to improve performance, reduce cost of production, and reduce nutrient excretion by accounting for more of the variation in predicting requirements and feed utilization in each unique production situation. Mathematical models can be classified into five or more categories based on their nature and behavior. Determining the appropriate level of aggregation of equations is a major problem in formulating models. The most critical step is to describe the purpose of the model and then to determine the appropriate mix of empirical and mechanistic representations of physiological functions, given development and evaluation dataset availability, inputs typically available and the benefits versus the risks of use associated with increased sensitivity. We discussed five major feeding systems used around the world. They share common concepts of energy and nutrient requirement and supply by feeds, but differ in structure and application of the concepts. Animal models are used for a variety of purposes, including the simple description of observations, prediction of responses to management, and explanation of biological mechanisms. Depending upon the objectives, a number of different approaches may be used, including classical algebraic equations, predictive empirical relationships, and dynamic, mechanistic models. The latter offer the best opportunity to make full use of the growing body of knowledge regarding animal biology. Continuing development of these types of models and computer technology and software for their implementation holds great promise for improvements in the effectiveness with which fundamental knowledge of animal function can be applied to improve animal agriculture and reduce its impact on the environment.

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15

Manos, B., and G. Kitsopanidis. "Mathematical programming models for farm planning." Oxford Agrarian Studies 17, no. 1 (January 1988): 163–72. http://dx.doi.org/10.1080/13600818808424010.

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16

TAKATANI, Kouji. "Recent Development of the Mathematical Models of Blast Furnace." Tetsu-to-Hagane 81, no. 11 (1995): 1031–36. http://dx.doi.org/10.2355/tetsutohagane1955.81.11_1031.

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17

Іванов, Ігор Євгенович, and Роман Богданович Рогальський. "Development of nonlinear mathematical models of transport utilization rate." Technology audit and production reserves 2, no. 3(22) (April 2, 2015): 8. http://dx.doi.org/10.15587/2312-8372.2015.39204.

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18

Lagerspetz, K. Y. H. "Comments on mathematical models of postnatal development of thermoregulation." Journal of Thermal Biology 18, no. 2 (April 1993): 113–15. http://dx.doi.org/10.1016/0306-4565(93)90023-m.

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19

Iber, Dagmar, and Philipp Germann. "How do digits emerge? - mathematical models of limb development." Birth Defects Research Part C: Embryo Today: Reviews 102, no. 1 (March 2014): 1–12. http://dx.doi.org/10.1002/bdrc.21057.

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20

Elbau, Peter, Leonidas Mindrinos, and Leopold Veselka. "Development of mathematical models for quantitative OCT: A review." AIMS Mathematics 8, no. 2 (2022): 2508–31. http://dx.doi.org/10.3934/math.2023130.

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<abstract><p>We review mathematical models describing how Optical Coherence Tomography works. Hereby, we focus on models based on Maxwell's equations and their simplifications. We highlight especially the effects of different modeling assumptions for the incident illumination, the medium, the light propagation, and the measurement setup and illustrate the qualitatively differing behavior in numerical simulations of the OCT data and compare them with real data from OCT measurements.</p></abstract>

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21

Knyazeva, N. K., and M. V. Noskov. "Development of mathematical literacy in primary school using mathematical models and their animated illustrations." Informatics in school 1, no. 8 (December 3, 2021): 53–62. http://dx.doi.org/10.32517/2221-1993-2021-20-8-53-62.

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The article proposes a methodology for the formation of functional mathematical literacy of primary school students as a component of functional literacy. This methodology is based on mathematical models and their animation illustrations. Based on international research, it is shown that mathematical modeling is the most important universal action of a student in primary school. Examples of transformation of standard tasks for movement into tasks that are more close to reality are given, in solving which it is useful to use animation modeling, which involves the creation of children's animation for educational purposes. Animated videos illustrate the solution of non-standard mathematical problems, problems with unstructured, redundant or insufcient information. The activity of creating animation models allows students to increase the level of mathematical literacy, which is confrmed by the data of the pedagogical experiment.

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22

Szabó, Barna, and Ivo Babuska. "Methodology of model development in the applied sciences." Journal of Computational and Applied Mechanics 16, no. 2 (2021): 75–86. http://dx.doi.org/10.32973/jcam.2021.005.

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The formulation and validation of mathematical models in the applied sciences are largely consistent with the methodology of scientific research programmes (MSRP), however an essential modification is necessary: The domain of calibration has to be defined. The ranking and systematic improvement of mathematical models based on objective criteria are described and illustrated by an example. The methodology outlined in this paper provides a framework for the evolutionary development of a large class of mathematical models.

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23

El Khatib, N., O. Kafi, A. Sequeira, S. Simakov, Yu Vassilevski, and V. Volpert. "Mathematical modelling of atherosclerosis." Mathematical Modelling of Natural Phenomena 14, no. 6 (2019): 603. http://dx.doi.org/10.1051/mmnp/2019050.

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The review presents the state of the art in the atherosclerosis modelling. It begins with the biological introduction describing the mechanisms of chronic inflammation of artery walls characterizing the development of atherosclerosis. In particular, we present in more detail models describing this chronic inflammation as a reaction-diffusion wave with regimes of propagation depending on the level of cholesterol (LDL) and models of rolling monocytes initializing the inflammation. Further development of this disease results in the formation of atherosclerotic plaque, vessel remodelling and possible plaque rupture due its interaction with blood flow. We review plaque-flow interaction models as well as reduced models (0D and 1D) of blood flow in atherosclerotic vasculature.

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24

Kong, Fan Bin, Xin Guo Ming, Lei Wang, and Huai Liang Zuo. "Development of Product Options for Modular Product Development." Applied Mechanics and Materials 55-57 (May 2011): 2147–52. http://dx.doi.org/10.4028/www.scientific.net/amm.55-57.2147.

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Modular product development plays an important role in helping manufacturing companies provide product variety rapidly in achieving competitive advantages. The development of product options plays a significant role by providing a selecting list for customizing, and has a key impact on the development of modular products. A process for product options development has been developed to guide the activities of determining product options and their values. And mathematical models have been brought forward to support decision-makings within the proposed process. A prototype system based on this process and mathematical models has been developed and tested in a machine manufacture plant, with satisfactory results.

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25

Gao, Ming, and Mark E. Orazem. "The development of advanced mathematical models for continuous glucose sensors." Electrochimica Acta 382 (June 2021): 138226. http://dx.doi.org/10.1016/j.electacta.2021.138226.

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26

Pereborova, N. V., V. I. Wagner, A. A. Kozlov, and S. V. Kiselev. "DEVELOPMENT OF MATHEMATICAL MODELS OF VISCOSITY OF POLYMER TEXTILE MATERIALS." Izvestiya vysshikh uchebnykh zavedenii Tekhnologiya legkoi promyshlennosti 52, no. 2 (2021): 110–14. http://dx.doi.org/10.46418/0021-3489_2021_52_02_22.

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27

Eshbaev, Ulbosin, Akbarjon Nishonov, and Aziz Saodatov. "Development of mathematical models of print quality by Box-Wilson." E3S Web of Conferences 304 (2021): 03023. http://dx.doi.org/10.1051/e3sconf/202130403023.

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The transfer coefficient of ink to the printed material was determined by comparing the mass of the printed material before and after printing. The specifics of the interaction of the printed surface with the surface of the paint layer and the influence of technological factors on the graphic distortion of the image when printing on paper also affect the gradation characteristic of the image. This article states about static modeling, preliminary analysis of the color perception of offset printing on papers including synthetic polymers. On the basis of the model of color perception obtained as a result of research in offset printing on printed materials, the optimal choice is developed, which allows to make an objective assessment and predict the color perception of the printed materials.

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28

Hakmanage, N. M., N. V. Chandrasekara, and D. D. M. Jayasundara. "Comprehensive sustainable cultivation development plans based on statistical/ mathematical models." International Journal of Scientific and Research Publications (IJSRP) 10, no. 8 (August 6, 2020): 255–59. http://dx.doi.org/10.29322/ijsrp.10.08.2020.p10432.

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29

Ryabkov, A. V., E. P. Martynenko, A. F. Zakuraev, and B. A. Ashabokov. "DEVELOPMENT OF MATHEMATICAL MODELS FOR STUDYOF GEOTECHNICAL PROPERTIES OF MARSHES." Oil and Gas Studies, no. 4 (September 1, 2016): 93–97. http://dx.doi.org/10.31660/0445-0108-2016-4-93-97.

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It is shown that failures at normal operation of pipeline transport occur largely due to the cyclical nature of degradation processes that are inherent in the system with various soil and swamp covers and are accompanied by sharp negative temperature gradients. A model of methane liberation processes was generated. The method of molecular beam epitaxy was analyzed, which permitted to capture the volume and cyclicity of methane liberation, to measure all noises and signals in different frequency ranges.

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30

Kim, Sungwoo, Yeong Jun Kwon, Seohyeon Choi, Jun Seop Lee, Seung Yoon Ko, Byung Do Chung, Ilkyeong Moon, and Chang Seong Ko. "Development of Mathematical Models for Parcel Delivery Service Network Design." Journal of the Korean Institute of Industrial Engineers 45, no. 3 (June 30, 2019): 203–12. http://dx.doi.org/10.7232/jkiie.2019.45.3.203.

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31

Dudek, Krzysztof, Marta Nowakowska-Kotas, and Alicja Kędzia. "Mathematical models of human cerebellar development in the fetal period." Journal of Anatomy 232, no. 4 (January 8, 2018): 596–603. http://dx.doi.org/10.1111/joa.12767.

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32

Wu, Hao. "Measuring China’s Energy and Power Development Based on Mathematical Models." IOP Conference Series: Earth and Environmental Science 461 (April 24, 2020): 012014. http://dx.doi.org/10.1088/1755-1315/461/1/012014.

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33

Pshinko, Oleksandr, Larysa Martseniuk, Volodymyr Bobyl, and Olena Kakhovska. "Economic and mathematical models of development of the railway tourism." SHS Web of Conferences 67 (2019): 06044. http://dx.doi.org/10.1051/shsconf/20196706044.

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The authors used a complex of mathematical models meant for the optimal investment of the processes of creation and use of the railway transport infrastructure. The specific features of these models are as follows: long-term period of realization of the infrastructure projects, many participants with special interests, which do not always coincide, a lot of factors of uncertainty connected with the choice of quantities of the calculation parameters, etc. The authors created economic-mathematical models of the discrete optimal planning of the railway tourism operations. This takes into account conditions of risks and cooperation, and allows to determine sets of effective routes which are most profitable ones, provided they meet the established demands. The latter includes routes which meet maximum criteria of the net costs under the conditions of the established system of demands for the activity of the tourism operators.

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34

Dandwate, Ms Ankita, and Dr Prof K. B. Khanchandani. "Mathematical Models Development for Various Power Quality Disturbances in MATLAB." International Journal of Engineering Trends and Technology 11, no. 1 (May 25, 2014): 5–9. http://dx.doi.org/10.14445/22315381/ijett-v11p202.

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35

Kontoravdi, Cleo, Efstratios N. Pistikopoulos, and Athanasios Mantalaris. "Systematic development of predictive mathematical models for animal cell cultures." Computers & Chemical Engineering 34, no. 8 (August 2010): 1192–98. http://dx.doi.org/10.1016/j.compchemeng.2010.03.012.

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36

KLEIN, EILI, RAMANAN LAXMINARAYAN, DAVID L. SMITH, and CHRISTOPHER A. GILLIGAN. "Economic incentives and mathematical models of disease." Environment and Development Economics 12, no. 5 (October 2007): 707–32. http://dx.doi.org/10.1017/s1355770x0700383x.

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The fields of epidemiological disease modeling and economics have tended to work independently of each other despite their common reliance on the language of mathematics and exploration of similar questions related to human behavior and infectious disease. This paper explores the benefits of incorporating simple economic principles of individual behavior and resource optimization into epidemiological models, reviews related research, and indicates how future cross-discipline collaborations can generate more accurate models of disease and its control to guide policy makers.

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37

Zavialov, Vladimir, Viktor Bodrov, Taras Misyura, Nataliya Popova, Yuliya Zaporozhets, and Vadim Dekanskiy. "Development of Mathematical Models of External Mass Exchange under Conditions of Vibroextraction from Vegetable Raw Materials." Chemistry & Chemical Technology 9, no. 3 (September 15, 2015): 367–74. http://dx.doi.org/10.23939/chcht09.03.367.

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38

ARLOTTI, L., N. BELLOMO, and E. DE ANGELIS. "GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS." Mathematical Models and Methods in Applied Sciences 12, no. 04 (April 2002): 567–91. http://dx.doi.org/10.1142/s0218202502001799.

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This paper deals with the development of suitable general mathematical structures including a large variety of Boltzmann type models. The contents are organized in three parts. The first part is devoted to modeling the above general framework. The second part to the development of specific models of interest in applied sciences. The third part develops a critical analysis towards research perspectives both on modeling and analytic problems.

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39

Ziemińska-Stolarska, Aleksandra, and Jerzy Skrzypski. "Review of Mathematical Models of Water Quality." Ecological Chemistry and Engineering S 19, no. 2 (January 1, 2012): 197–211. http://dx.doi.org/10.2478/v10216-011-0015-x.

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Review of Mathematical Models of Water Quality Water is one of the main elements of the environment which determine the existence of life on the Earth, affect the climate and limit the development of civilization. Water resources management requires constant monitoring in terms of its qualitative-quantitative values. Proper assessment of the degree of water pollution is the basis for conservation and rational utilization of water resources. Water quality in lakes and dams is undergoing continuous degradation caused by natural processes resulting from eutrophication and due to anthropogenic reasons. One of the tools that are used to solve problems of surface water pollution is modelling of changes which take place in lake waters and associated water quality changes. In the last thirty years a rapid development of mathematical modelling of water resources quality has been observed. A number of computer models have been designed which are successfully applied in practice in many countries, including Poland. This paper presents an overview of mathematical models for assessment of water quality in dam reservoirs. Description of the WASP program which will be used for modelling water quality in the Sulejow Reservoir was the focal point.

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40

Lopatin, A. A., E. V. Kuklev, V. A. Safronov, A. S. Razdorsky, L. V. Samoilova, and V. P. Toporkov. "Verification of Mathematical Models of Plague." Problems of Particularly Dangerous Infections, no. 3(113) (June 20, 2012): 26–28. http://dx.doi.org/10.21055/0370-1069-2012-3-26-28.

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Mathematic modeling and prognostication of infectious diseases epidemic process is a promising trend of epidemiologic investigations. The complex of mathematic models (SEIRF type) of plague epidemic process was developed for this purpose by the Russian Research Anti-Plague Institute “Microbe” and laboratory of epidemiologic cybernetics of N.F.Gamaleya Institute for Epidemiology and Microbiology. The data on the plague outbreak in 1945 in the rural settlement Avan’ (Aral region of Kzyl-Orda district of Kazakh SSR) were used to test working efficiency of this complex. The data analysis permitted to obtain the starting and boundary conditions for epidemic process modeling. In the process of modeling the mathematical models of epidemic process of plague with various ways of infection transmission for each epidemic focus in regard with historical data were used. The data were processed by the analytical platform Deductor 5.1. Identified was strong positive correlation between estimated and historical data – r = +0,71. The results received testify that mathematic models are effective and give high degree of confidence. They can be used to receive quantitative characteristics of prognosis for plague epidemic process development with different transmission routes considering that anti-epidemic measures have been taken.

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41

Gorbachev, Alexey. "Overview of the route public transport mathematical models." Proceedings of Petersburg Transport University, no. 3 (September 20, 2018): 366–70. http://dx.doi.org/10.20295/1815-588x-2018-3-366-370.

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Objective: To survey international and domestic experience of building mathematical models for timetable and schedule presentation. Methods: The analysis of applicability of the current international experience in transport management in the sphere of public route transport was carried out. It particularly concerned scheduling for ex-USSR countries. Results: The necessity to develop special-purpose mathematical models of route public transport schedule was justified. The schedule models in question being serviceable under the limitations of current technology-based standards and traffic management restrictions in Russia. Practical importance: Implementation and development of domestic intelligence systems, designed to organize the management of public route transport operation, is of great relevance for economic development of the country.

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42

Ziegler, C. Kirk. "Using mathematical models to assess sediment stability." Integrated Environmental Assessment and Management 2, no. 1 (January 2006): 44–50. http://dx.doi.org/10.1002/ieam.5630020109.

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43

Menzhinski, A. B., A. N. Malashin, and P. B. Menzhinski. "Development of Refined Electromagnetic Models of Reciprocating Electric Generators with Permanent Magnets." ENERGETIKA. Proceedings of CIS higher education institutions and power engineering associations 64, no. 4 (July 21, 2021): 291–302. http://dx.doi.org/10.21122/1029-7448-2021-64-4-291-302.

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The analysis of scientific papers devoted to the mathematical description of electric generators of reciprocating motion with permanent magnets demonstrated that the proposed mathematical models of this type of generators are based on the theory of magnetic circuits. Such mathematical models are based on a simplified representation of the magnetic system and the magnetic field in the form of a magnetic circuit with corresponding magnetic conductivities. However, unlike traditional rotary type electric machines, electric generators of reciprocating motion have a number of features, the omission of which in mathematical modeling causes the increase of the cost of their creation (due to the duration of the design and experimental refinement of the generators). Therefore, at the initial stages of electromagnetic calculation and solving optimization problems, it is necessary to use adequate mathematical models to improve the accuracy of calculations of the parameters of these generators. For this purpose, a mathematical model based on field theory can be used; however, its main drawback is the complexity of its application for solving optimization problems. In this regard, to improve the accuracy of calculations of the parameters of electric generators of reciprocating motion with permanent magnets, it is proposed to use refining coefficients (coefficients of scattering and buckling of the magnetic flux) in mathematical models based on the theory of magnetic circuits. The authors have developed refined electromagnetic models of electric generators of reciprocating motion with permanent magnets, which make it possible to obtain the main parameters of generators at the initial stages of electromagnetic calculation and when solving optimization problems with acceptable accuracy. A distinctive feature of the refined electromagnetic models of generators is the consideration of the scattering and buckling coefficients of the magnetic flux in the magnetic system that change during the simulation.

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Makarov, Sergey I. "Mathematical modeling skills development among students of universities of economics." Samara Journal of Science 9, no. 2 (May 29, 2020): 254–57. http://dx.doi.org/10.17816/snv202307.

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This paper discusses approaches to economic and mathematical modeling skills development among students of universities of economics. The need for this competency among specialists in the digital economy is shown. The motivation of the student the future specialist in the digital economy in mastering the basic techniques of economic processes and systems modeling is outlined. The sections of the school course in mathematics are given, which are the basis for the development of these skills. Mathematical courses are examined; their study is considered to be the foundation for the development of the competence in economic processes modeling. The author describes the main types of mathematical models that are studied at the present stage at universities of economics and are widely used in the digital economy. The author also presents a classification of the models used in the educational process while studying mathematical courses. The main requirements for economic-mathematical models are discussed and substantiated. The author has listed necessary requirements for teachers of mathematical departments of universities. These requirements can help them to teach basic mathematics and its applied sections (e.g. mathematical modeling) to students successfully. The main conclusions and results of the study can be used in the practical work of teachers of mathematical departments at universities of economics when creating electronic teaching aids of economic and mathematical modeling and methods of their application in the educational process.

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Luthra, Ritika, Shreeja Datta, and Asmita Das. "Mathematical Models being Crucial in Development of Novel Strategies for Cancer Treatment." Research Journal of Biotechnology 17, no. 6 (May 25, 2022): 204–19. http://dx.doi.org/10.25303/1706rjbt2040219.

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Selection and optimisation of therapeutic approaches in cancer necessitate a thorough awareness of the complicated dynamics of the multifactorial disease. Cancer is a complex multifactorial disease that has extensive and non-exhaustive mechanisms of disease prognosis and variable responses to therapeutics. Mathematical models play a crucial role in comprehending the complexities of tumour dynamics including growth, tumour heterogeneity, relations amongst tumours and the immune response. The understanding of resistance to anticancer therapies has increased as our awareness of inter-tumour and intra-tumour heterogeneity and cancer progression has grown over the course of time. Model-based strategies can be utilised for personalised treatments which will improve the chances of overcoming resistance to therapies. For better interpretation of cancer therapeutics, numerous mathematical models have been constructed. Because of the gap in elucidation of biological mechanisms and prognosis of cancer, such mathematical models play a role in better analysis of molecular pathways in order to develop potent therapeutic alternatives. Mathematical models and their assessment pose promise to substantially aid in the development of more effective regimens for treating cancer. In this review, we will be discussing different existing mathematical models, their prospects and significance with respect to tumour progression pathways and treatment strategies for cancer.

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Kulagin, V. A. "Development of a complex of mathematical models of a vehicle suspension for fatigue life analysis." Izvestiya MGTU MAMI 15, no. 4 (December 15, 2021): 33–42. http://dx.doi.org/10.31992/2074-0530-2021-50-4-33-42.

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The reduction in the duration of the development of new vehicles and the associated desire to reduce the costs of automotive plants contribute to a more active application of mathematical modeling to solve engineering problems. The tasks, which are analyzing and predicting the fatigue life of vehicle components and assemblies, can be solved using a set of methods and tools of mathematical modeling. This article discusses the development of a complex of mathematical models of the front and rear suspensions of a passenger automobile, which have the properties necessary for accurate reproduction of wheel loads and dynamic behavior of the suspension as a mechanical system. The complex of mathematical models is implemented in a multi-link modeling environment. The models are designed to carry out a subsequent validation study of the loading of individual suspension components during forced service life tests. In the future, this complex of mathematical models can be used for simulation of semi-natural forced resource tests of the suspension module, as well as a sample for the development of suspension models of other automobiles. The purpose of this work is to form sufficient requirements for mathematical models for the implementation of fatigue durability studies using mathematical modeling methods and obtaining reliable calculation results. Research engineers will be able to follow these requirements to determine and collect initial data for the development of their own mathematical models.

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Smith, M. "Painting by Numbers—Mathematical Models of Urban Systems." Environment and Planning B: Planning and Design 25, no. 4 (August 1998): 483–93. http://dx.doi.org/10.1068/b250483.

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Xu, Xiang Rong, Qi Wang, Hao Xu, and Liang Liang Li. "Development of Mathematical Modeling and Dynamics for Biofilms." Advanced Materials Research 749 (August 2013): 93–98. http://dx.doi.org/10.4028/www.scientific.net/amr.749.93.

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Biofilm formation, structure and dynamics properties play an important role in the effective performance of biofilm wastewater treatment reactors. Biofilm models are commonly used as simulation tools in engineering applications and as research tools to study biofilm formation and dynamics. This paper briefly outlines the present and past status of research on biofilm modeling, dynamics and experimental results. Biofilms constitute a spectrum of dynamical microorganisms, whose interaction with the surrounding environment and thereby induced dynamics dominates the complex properties of the living microorganism. Modeling of biofilms began with a low dimensional continuum description first based on kinematics and translational diffusions; later, more sophisticated microscopic dynamical mechanisms are introduced leading to the anomalous diffusion and dissipation encountered by various components in biofilms. We classify the models into roughly four classes: the reaction-diffusion dynamics model, the Capdeville biofilm growth dynamics model, the Cellular automata (CA) model, and the Phase field biofilm dynamical model.

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Ryzhikov, Igor, Denis Elovenko, and Bernd Beirow. "Development of mathematical models for sensitivity analysis of machine part vibrations." Proceedings of Irkutsk State Technical University 23, no. 3 (June 2019): 472–80. http://dx.doi.org/10.21285/1814-3520-2019-3-472-480.

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Sawicki, Antoni. "Diagnostics of Electric Arc versus the Development of Universal Mathematical Models." Biuletyn Instytutu Spawalnictwa, no. 6 (December 2021): 47–57. http://dx.doi.org/10.17729/ebis.2021.6/5.

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The article presents universal mathematical static current-voltage characteristics- based models of electric arc and indicates primary issues concerned with arc diagnostics related to the determination of the above-named models. Particular attention was paid to the experimental determination of AC-powered arc voltage. Diagnostics-related purposes involved the use of bridge systems with one or two sources of current. Computer-aided simulations involving sinusoidal and trapezoidal current-based excitations made it possible to demonstrate the possibility of obtaining minimum values of bridge unbalance voltage. Such a condition indicated the proper determination of AC-powered arc ignition voltage.

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