Relevant bibliographies by topics / Development – Mathematical models

Academic literature on the topic 'Development – Mathematical models'

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Published: 10 March 2023

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Journal articles on the topic "Development – Mathematical models"

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Development – Mathematical models"

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Peskett, Jonathan Paul. "The development of unsteady aerodynamic mathematical models." Thesis, University of Bristol, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299504.

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Jones, Bleddyn. "The development of mathematical models in radiation oncology." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.430761.

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He, Yumei, and 何玉梅. "Essays on public infrastructure, industrial location and regional development." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B39707313.

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Dang, Van To Civil &amp Environmental Engineering Faculty of Engineering UNSW. "Development of a mathematical N-line model for simulation of beach changes." Awarded by:University of New South Wales. School of Civil and Environmental Engineering, 2006. http://handle.unsw.edu.au/1959.4/27394.

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The development of a new N-Line model, which provides a practical tool for simulating regional beach changes induced by short and long-term processes, is described in this thesis. The new N-Line model consists of four main modules that together describe the hydrodynamic and morphological responses. The four constituent modules have been integrated based on a wide range of research including the utility and function of commercial or freeware models. They are RCPWAVE wave module, time-averaged and depth-integrated current module, sediment transport module based on Bailard (1981) and contour change morphological module. Two different time-scales and two staggered grid systems for hydrodynamic and morphological simulations were adopted alternatively. For short-term 2D profile changes, new N-Line model applicability has been examined using data from the laboratory to the field. For ideal beaches, new N-Line can simulate an offshore storm bar generation or an onshore accretion due to high or low energy waves. For SUPERTANK large-scale flume data, the predicted profile matched the measured profile well, especially the bar height and position. For beach profile data from the Gold Coast, storm-induced variations of barred profiles were reasonably modelled. The new N-Line model compared well with other commonly used cross-shore models such as SBEACH and UNIBEST. A new schematisation for a non-monotonic profile and DUNED inclusion were introduced. Sensitivity tests on cross-shore sediment coefficient (Kq), smoothing parameter (??s) and water level fluctuations were performed. For long-term 3D beach changes, the new N-Line model applicability has been tested with various boundary conditions using idealized and real field data. Two periods, 17 and 16 months, of beach changes before and after a major bypass plant commenced operation in 2001 at Letitia Spit were simulated. The profile and shoreline changes were predicted reasonably well. Empirical model parameters were determined after a range of sensitivity and calibration testing. The new N-Line model showed its better performance compared to one-line models. It can handle various boundary conditions, especially bypass conditions. The N-Line model is not only capable of modelling planform variations but also cross-shore profile changes.
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Ahmed, Ishraq Uddin. "Multiphase models of early atherosclerotic plaque development." Thesis, The University of Sydney, 2021. https://hdl.handle.net/2123/25883.

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Atherosclerosis is a complex disease caused by a cascade of interactions between the artery wall, immune cells, cholesterol-carrying lipoproteins, and a host of other cellular and chemical species. In this thesis, we build and investigate a series of partial differential equation models for the early atherosclerotic plaque based on a multiphase framework. We first develop a general approach for building multiphase PDE models that can account for cell crowding effects, while also supporting a variable domain size by using a free boundary. Using this framework, we build a series of increasingly complex models to address different aspects of early plaque development. The first is a simple two-phase model comprising macrophage foam cells and atherogenic low density lipoproteins (LDL). Subsequent models extend this basic model to incorporate spatial heterogeneity in macrophage lipid content, apoptotic cell death, the recycling of dead material via efferocytosis, and the atheroprotective role of high density lipoproteins (HDL). Where appropriate, we also make use of simplified ODE submodels for local plaque composition. We use these PDE models to address a number of phenomena, including the competing effects of LDL and HDL, the balance between cell death and recycling, the cytotoxic effects of intracellular cholesterol, the ability for inflammation to either relieve or exacerbate plaque growth, and the ability of HDL and foam cell emigration to slow plaque growth and potentially stabilise plaque size. The full model is also applied to several experimental setups. We first simulate therapies that affect blood lipid profiles, examining how their efficacy depends on when and how long they are administered. We also simulate mouse model studies involving bead-tagged macrophages, and we assess hypotheses regarding macrophage motility in the deep plaque by comparing simulated and experimental bead distributions.
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Zoebelein, Till. "Development of an LU-scheme for the solution of hypersonic non-equilibrium flow." Thesis, Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/12509.

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Duan, Qingyun, Soroosh Sorooshian, and Richard P. Ibbitt. "DEVELOPMENT AND VALIDATION OF A NEW MAXIMUM LIKELIHOOD CRITERION SUITABLE FOR DATA COLLECTED AT UNEQUAL TIME INTERVALS." Department of Hydrology and Water Resources, University of Arizona (Tucson, AZ), 1987. http://hdl.handle.net/10150/617640.

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A new Maximum Likelihood Criterion (MLE) suitable for data which are recorded at unequal time intervals and contain auto-correlated errors is developed. Validation of the new MLE criterion has been carried out both on a simple two - parameter reservoir model using synthetical data and on a more complicated hillslope model using real data from the Pukeiti Catchment in New Zealand. Comparison between the new MLE criterion and the Simple Least Squares (SLS) criterion reveals the superiority of the former over the latter. Comparison made between the new MLE and the MLE for auto-correlated case proposed by Sorooshian in 1978 has shown that both criteria would yield results with no practical difference if equal time interval data were used. However, the new MLE can work on variable time interval data which provide more information than equal time interval data, and therefore produces better visual results in hydrologic simulations.
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Alavi, Hajar Karimi. "Development of mechanistic mathematical models for gene-mediated drug-drug interactions." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/development-of-mechanistic-mathematical-models-for-genemediated-drugdrug-interactions(b38da88a-bb2a-4667-9809-21a09c8feeeb).html.

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The glucocorticoid receptor (GR) is a member of the nuclear hormone receptors family and has been shown to exert significant effects on the induction of cytochrome P450 (CYP) enzymes responsible for the metabolism of many xenobiotics. CYP3A4/5 and CYP2C9 are important CYP enzymes which metabolise more that 60% of drugs. Induction or inhibition of the enzymatic activity and the levels of these enzymes can have significant effects on drug metabolism. Understanding the role of GR and other nuclear receptors, pregnane X receptor (PXR) and the constitutive androstane receptor (CAR), in the mechanisms effecting CYP3A4/5 and CYP2C9 levels and activity can aid in the development of in vitro and in vivo models which have become a target for scientists in the clinic and the industry. The commonly prescribed synthetic glucocorticoid (GC) drug, dexamethasone (Dex), can induce GR, PXR and CAR and was used in this study to analyse its effects on the CYP enzymes studied. The hypothesis of this project was that changes in CYP3A4/5 and CYP2C9 gene expression affect drug metabolism and changes in gene expression of these CYP enzymes was under GR, PXR and CAR control, thus affecting the concentration and therapeutic activity of drugs metabolized by these enzymes during chronic use of GCs in conditions such as rheumatoid arthritis and asthma. This study aimed to measure mRNA, protein, ROS and enzymatic activity levels in human HepG2 hepatocytes treated with Dex for 120 h and analyze the results for various time points to produce a mathematical model. Our study has shown that changes in mRNA, protein and enzymatic activity levels of CYP3A4/5 and CYP2C9 in HepG2 cells were induced by Dex at sub-micromolar (0.1 µM) and supra-micromolar (1.5 mM) concentrations. The induction of CYP3A4/5 and CYP2C9 enzymes during 120 h treatment with Dex may be affected by the NRs studied; GR, phosphorylated GR, PXR and CAR protein levels were also shown to be induced by Dex. The efflux transporter, P-gp’s protein levels were also induced by 0.1 µM Dex, highlighting the importance of considering bioavailability of other drugs co-administered with Dex. The results of some of these laboratory experiments have been used to produce mechanistic mathematical models by MATLAB software with reference to previous studies in rats concentrating on the effects of steroids on GR. The models developed were not effective at the lower Dex concentration of 0.1 µM but were better modelled at the higher Dex concentration of 1.5 mM. The basic mechanistic models developed using HepG2 cells in this study can be utilised to design and conduct drug-drug interaction (DDI) analyses of the induction of CYP3A4/5 and CYP2C9 in other human liver cells and starting pre-clinical studies in animals to aid in drug development.
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Khan, Maudood Naeem. "Development and application of an adaptive grid air quality model." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/20824.

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Shestakova, Anzhela. "Development of mathematical models for freight cars subject to dynamic loading." Thesis, Keele University, 2015. http://eprints.keele.ac.uk/2343/.

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This research is inspired by mathematical modelling of railcar dynamics and deals with developing a methodology for estimating the impact loads acting on freight cars using measured acceleration data in order to determine their limiting magnitudes for the alarm generation. The developed scheme consists of the following steps. First, artificial neural network technology (ANN) is adapted to predict longitudinal forces in freight cars. Impact tests data for accelerations and forces were used for training ANN. The issue related to the lack of experimental results for training the network is addressed. A possibility of alternative theoretical training using mathematical models is studied. A restricted scope of conventional mathematical models based on rigid body dynamics is discovered. In particular, these models ignore the effect of self-equilibrated loads and internal dissipation. Next, an advanced perturbation model is derived, taking into account low frequency internal motion with inhomogeneous stiffness, density, and viscosity incorporated. The developed advanced model is applied to the evaluation of impact forces arising at coupled impact. The aforementioned model follows from a low-frequency analysis of a viscoelastic inhomogeneous bar, subject to end loads. The longitudinal variation of the problem 2 parameters is taken into consideration. Explicit asymptotic corrections to the conventional equations of rigid body motion are derived in an integro-differential form. The refined equations incorporate the effect of an internal viscoelastic microstructure on the overall dynamic response. Comparison with the exact time-harmonic solutions for extension and bending of a bar demonstrates the efficiency of the developed approach.
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Books on the topic "Development – Mathematical models"

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G, Dyson Robert, and O'Brien Frances A, eds. Strategic development: Methods and models. Chichester, England: Wiley, 1998.

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Ivanov, Viktor Vladimirovich. Model development and optimization. Dordrecht: Kluwer Academic Publishers, 1999.

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Sadoulet, Elisabeth. Quantitative development policy analysis. Baltimore: Johns Hopkins University Press, 1995.

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Alain, De Janvry, ed. Quantitative development policy analysis. Baltimore: Johns Hopkins University Press, 1995.

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Alain, De Janvry, ed. Quantitative development policy analysis: Exercise solutions. Baltimore: Johns Hopkins University Press, 1995.

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Ileana, Hamburg, ed. Mathematical modelling for sustainable development. Berlin: Springer, 2006.

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Economic growth and development. 2nd ed. Hackensack, NJ: World Scientific Pub., 2012.

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The dynamic systems of basic economic growth models. Dordrecht: Kluwer Academic, 1994.

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Quantitative finance: Its development, mathematical foundations, and current scope. Hoboken, N.J: Wiley, 2009.

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The shock development problem. Zürich, Switzerland: European Mathematical Society, 2019.

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Book chapters on the topic "Development – Mathematical models"

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Ivanov, Viktor V. "Mathematical Models of Development." In Applied Optimization, 15–32. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-4062-5_2.

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Singh, R. N. "Mathematical Models in Sustainable Development." In Environment and Sustainable Development, 185–93. New Delhi: Springer India, 2013. http://dx.doi.org/10.1007/978-81-322-1166-2_14.

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Jenkinson, William, Eric Jenkinson, and Graham Anderson. "Thymocyte Development." In Mathematical Models and Immune Cell Biology, 1–23. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-7725-0_1.

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Dillon, Robert H. "Mathematical Modeling of Vertebrate Limb Development." In Mathematical Models for Biological Pattern Formation, 39–57. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0133-2_3.

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Kühl, Michael, Barbara Kracher, Alexander Groß, and Hans A. Kestler. "Mathematical Models of Wnt Signaling Pathways." In Wnt Signaling in Development and Disease, 153–60. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2014. http://dx.doi.org/10.1002/9781118444122.ch11.

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Murray, James D. "Mechanical Models for Generating Pattern and Form in Development." In Mathematical Biology, 525–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-08539-4_17.

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Murray, James D. "Mechanical Models for Generating Pattern and Form in Development." In Mathematical Biology, 525–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-08542-4_17.

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Schlick, Christopher, and Bruno Demissie. "Mathematical Models of Cooperative Work in Product Development Projects." In Product Development Projects, 13–158. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-21717-8_2.

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Bellomo, Nicola, and Sabine Stöcker. "Development of Boltzmann Models in Mathematical Biology." In Modeling in Applied Sciences, 225–62. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-0513-5_7.

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Schmitz, Dominik, Ming Zhang, Thomas Rose, Matthias Jarke, Andreas Polzer, Jacob Palczynski, Stefan Kowalewski, and Michael Reke. "Mapping Requirement Models to Mathematical Models in Control System Development." In Lecture Notes in Computer Science, 253–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02674-4_18.

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Conference papers on the topic "Development – Mathematical models"

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Boykov, A. A., A. I. Zaporojskikh, A. M. Volodina, and E. M. Chelnokova. "Development of visual and mathematical models for support decision." In Физико-техническая информатика (CPT2021-2022). Нижний Новгород-Москва-Пущино: Автономная некоммерческая организация в области информационных технологий "Научно-исследовательский центр физико-технической информатики", 2022. http://dx.doi.org/10.54837/9785604289174_210.

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Sari, Veny, and Puji Nurfauziah. "Development of Trigonometry Teaching Materials with Knisley Mathematical Models." In International Conference of Science and Technology for the Internet of Things. EAI, 2019. http://dx.doi.org/10.4108/eai.19-10-2018.2281364.

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Rizo Maestre, Carlos, Fidel Aznar Gregori, Mar Pujol López, and Ramón Rizo Aldeguer. "JUPYTER NOTEBOOK: THEORY AND PRACTICE OF MATHEMATICAL MODELS IN ENGINEERING AND ARCHITECTURE." In International Technology, Education and Development Conference. IATED, 2016. http://dx.doi.org/10.21125/iceri.2016.0492.

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Lai, Yuanhao, Wei Lu, and Tianyuan Zheng. "Study of Biological Population Stable Development Based on Mathematical Models." In 2013 Fifth International Conference on Computational and Information Sciences (ICCIS). IEEE, 2013. http://dx.doi.org/10.1109/iccis.2013.234.

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Turovskiy, Yaroslav Aleksandrovich, Evgenii Aleksandrovich Kiselev, and Sergei Viktorovich Borzunov. "New Algorithms of Generation of Mathematical Models of Electroencephalogram Signals." In 2022 15th International Conference Management of large-scale system development (MLSD). IEEE, 2022. http://dx.doi.org/10.1109/mlsd55143.2022.9934604.

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Sidnev, Alexander. "THE ESSENCE OF THE MATHEMATICAL BUSINESS PROCESS MODELS DISCIPLINE FOR COMPUTER SCIENCE STUDENTS." In International Technology, Education and Development Conference. IATED, 2016. http://dx.doi.org/10.21125/iceri.2016.0883.

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Borovska, Taisa M., Inna V. Vernigora, Waldemar Wójcik, Konrad Gromaszek, Saule Smailova, and Zhassulan Orazbekov. "Mathematical models of production systems development based on optimal aggregation methodology." In Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2017, edited by Ryszard S. Romaniuk and Maciej Linczuk. SPIE, 2017. http://dx.doi.org/10.1117/12.2281222.

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Giovanis, Apostolos N., and Christos H. Skiadas. "Development and Application of Mathematical Models for Internet Access Technology Substitution." In Recent Advances in Stochastic Modeling and Data Analysis. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709691_0034.

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Tesselkin, Alexandr A., Ksenia V. Tesselkina, and Valeriy I. Khabarov. "Elements of data mining for the development of mathematical transport models." In 2016 13th International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE). IEEE, 2016. http://dx.doi.org/10.1109/apeie.2016.7806488.

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Tesselkin, A. A., K. V. Tesselkina, and V. I. Khabarov. "Elements of data mining for the development of mathematical transport models." In 2016 13th International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE). IEEE, 2016. http://dx.doi.org/10.1109/apeie.2016.7806952.

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Reports on the topic "Development – Mathematical models"

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Tarakanov, Alexander O. Development of Mathematical Models of Immune Networks Intended for Information Security Assurance. Fort Belvoir, VA: Defense Technical Information Center, February 2006. http://dx.doi.org/10.21236/ada454473.

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Agrawal, Pradeep K. Development of Kinetics and Mathematical Models for High Pressure Gasification of Lignite-Switchgrass Blends. Office of Scientific and Technical Information (OSTI), December 2016. http://dx.doi.org/10.2172/1346702.

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Iisa, Kristiina. Development of Kinetics and Mathematical Models for High-Pressure Gasification of Lignite-Switchgrass Blends: Cooperative Research and Development Final Report, CRADA Number CRD-11-447. Office of Scientific and Technical Information (OSTI), April 2016. http://dx.doi.org/10.2172/1247124.

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Hlushak, Oksana M., Svetlana O. Semenyaka, Volodymyr V. Proshkin, Stanislav V. Sapozhnykov, and Oksana S. Lytvyn. The usage of digital technologies in the university training of future bachelors (having been based on the data of mathematical subjects). [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3860.

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This article demonstrates that mathematics in the system of higher education has outgrown the status of the general education subject and should become an integral part of the professional training of future bachelors, including economists, on the basis of intersubject connection with special subjects. Such aspects as the importance of improving the scientific and methodological support of mathematical training of students by means of digital technologies are revealed. It is specified that in order to implement the task of qualified training of students learning econometrics and economic and mathematical modeling, it is necessary to use digital technologies in two directions: for the organization of electronic educational space and in the process of solving applied problems at the junction of the branches of economics and mathematics. The advantages of using e-learning courses in the educational process are presented (such as providing individualization of the educational process in accordance with the needs, characteristics and capabilities of students; improving the quality and efficiency of the educational process; ensuring systematic monitoring of the educational quality). The unified structures of “Econometrics”, “Economic and mathematical modeling” based on the Moodle platform are the following ones. The article presents the results of the pedagogical experiment on the attitude of students to the use of e-learning course (ELC) in the educational process of Borys Grinchenko Kyiv University and Alfred Nobel University (Dnipro city). We found that the following metrics need improvement: availability of time-appropriate mathematical materials; individual approach in training; students’ self-expression and the development of their creativity in the e-learning process. The following opportunities are brought to light the possibilities of digital technologies for the construction and research of econometric models (based on the problem of dependence of the level of the Ukrainian population employment). Various stages of building and testing of the econometric model are characterized: identification of variables, specification of the model, parameterization and verification of the statistical significance of the obtained results.
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Klymenko, Mykola V., and Andrii M. Striuk. Development of software and hardware complex of GPS-tracking. CEUR Workshop Proceedings, March 2021. http://dx.doi.org/10.31812/123456789/4430.

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The paper considers the typical technical features of GPS-tracking systems and their development, as well as an analysis of existing solutions to the problem. Mathematical models for the operation of hardware and software of this complex have been created. An adaptive user interface has been developed that allows you to use this complex from a smartphone or personal computer. Methods for displaying the distance traveled by a moving object on an electronic map have been developed. Atmega162-16PU microcontroller software for GSM module and GPS receiver control has been developed. A method of data transfer from a GPS tracker to a web server has been developed. Two valid experimental samples of GPS-trackers were made and tested in uncertain conditions. The GPS-tracking software and hardware can be used to monitor the movement of moving objects that are within the coverage of GSM cellular networks.
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Semerikov, Serhiy O., Illia O. Teplytskyi, Yuliia V. Yechkalo, and Arnold E. Kiv. Computer Simulation of Neural Networks Using Spreadsheets: The Dawn of the Age of Camelot. [б. в.], November 2018. http://dx.doi.org/10.31812/123456789/2648.

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The article substantiates the necessity to develop training methods of computer simulation of neural networks in the spreadsheet environment. The systematic review of their application to simulating artificial neural networks is performed. The authors distinguish basic approaches to solving the problem of network computer simulation training in the spreadsheet environment, joint application of spreadsheets and tools of neural network simulation, application of third-party add-ins to spreadsheets, development of macros using the embedded languages of spreadsheets; use of standard spreadsheet add-ins for non-linear optimization, creation of neural networks in the spreadsheet environment without add-ins and macros. After analyzing a collection of writings of 1890-1950, the research determines the role of the scientific journal “Bulletin of Mathematical Biophysics”, its founder Nicolas Rashevsky and the scientific community around the journal in creating and developing models and methods of computational neuroscience. There are identified psychophysical basics of creating neural networks, mathematical foundations of neural computing and methods of neuroengineering (image recognition, in particular). The role of Walter Pitts in combining the descriptive and quantitative theories of training is discussed. It is shown that to acquire neural simulation competences in the spreadsheet environment, one should master the models based on the historical and genetic approach. It is indicated that there are three groups of models, which are promising in terms of developing corresponding methods – the continuous two-factor model of Rashevsky, the discrete model of McCulloch and Pitts, and the discrete-continuous models of Householder and Landahl.
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Markova, Oksana M., Serhiy O. Semerikov, Andrii M. Striuk, Hanna M. Shalatska, Pavlo P. Nechypurenko, and Vitaliy V. Tron. Implementation of cloud service models in training of future information technology specialists. [б. в.], September 2019. http://dx.doi.org/10.31812/123456789/3270.

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Leading research directions are defined on the basis of self-analysis of the study results on the use of cloud technologies in training by employees of joint research laboratory “Сloud technologies in education” of Kryvyi Rih National University and Institute of Information Technology and Learning Aids of the NAES of Ukraine in 2009-2018: cloud learning technologies, cloud technologies of blended learning, cloud-oriented learning environments, cloud-oriented methodological systems of training, the provision of cloud-based educational services. The ways of implementation SaaS, PaaS, IaaS cloud services models which are appropriate to use in the process of studying the academic disciplines of the cycles of mathematical, natural science and professional and practical training of future specialists in information technology are shown, based on the example of software engineering, computer science and computer engineering. The most significant advantages of using cloud technologies in training of future information technology specialists are definite, namely, the possibility of using modern parallel programming tools as the basis of cloud technologies. Conclusions are drawn; the direction of further research is indicated: designing a cloud-oriented learning environment for future specialists in computer engineering, identifying trends in the development of cloud technologies in the professional training and retraining of information technology specialists, developing a methodology for building the research competencies of future software engineering specialists by using cloud technologies.
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Kiianovska, N. M. The development of theory and methods of using cloud-based information and communication technologies in teaching mathematics of engineering students in the United States. Видавничий центр ДВНЗ «Криворізький національний університет», December 2014. http://dx.doi.org/10.31812/0564/1094.

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The purpose of the study is the analysis of the development of the theory and methods of ICT usage while teaching higher mathematics engineering students in the United States. It was determined following tasks: to analyze the problem source, to identify the state of its elaboration, to identify key trends in the development of theory and methods of ICT usage while teaching higher mathematics engineering students in the United States, the object of study – the use of ICT in teaching engineering students, the research methods are: analysis of scientific, educational, technical, historical sources; systematization and classification of scientific statements on the study; specification, comparison, analysis and synthesis, historical and pedagogical analysis of the sources to establish the chronological limits and implementation of ICT usage in educational practice of U.S. technical colleges. In article was reviewed a modern ICT tools used in learning of fundamental subjects for future engineers in the United States, shown the evolution and convergence of ICT learning tools. Discussed experience of the «best practices» using online ICT in higher engineering education at United States. Some of these are static, while others are interactive or dynamic, giving mathematics learners opportunities to develop visualization skills, explore mathematical concepts, and obtain solutions to self-selected problems. Among ICT tools are the following: tools to transmit audio and video data, tools to collaborate on projects, tools to support object-oriented practice. The analysis leads to the following conclusion: using cloud-based tools of learning mathematic has become the leading trend today. Therefore, university professors are widely considered to implement tools to assist the process of learning mathematics such properties as mobility, continuity and adaptability.
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Pokorny, Richard, and Pavel R. Hrma. Mathematical Model of Cold Cap?Preliminary One-Dimensional Model Development. Office of Scientific and Technical Information (OSTI), March 2011. http://dx.doi.org/10.2172/1012879.

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Perdigão, Rui A. P. Earth System Dynamic Intelligence - ESDI. Meteoceanics, April 2021. http://dx.doi.org/10.46337/esdi.210414.

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Earth System Dynamic Intelligence (ESDI) entails developing and making innovative use of emerging concepts and pathways in mathematical geophysics, Earth System Dynamics, and information technologies to sense, monitor, harness, analyze, model and fundamentally unveil dynamic understanding across the natural, social and technical geosciences, including the associated manifold multiscale multidomain processes, interactions and complexity, along with the associated predictability and uncertainty dynamics. The ESDI Flagship initiative ignites the development, discussion and cross-fertilization of novel theoretical insights, methodological developments and geophysical applications across interdisciplinary mathematical, geophysical and information technological approaches towards a cross-cutting, mathematically sound, physically consistent, socially conscious and operationally effective Earth System Dynamic Intelligence. Going beyond the well established stochastic-dynamic, information-theoretic, artificial intelligence, mechanistic and hybrid techniques, ESDI paves the way to exploratory and disruptive developments along emerging information physical intelligence pathways, and bridges fundamental and operational complex problem solving across frontier natural, social and technical geosciences. Overall, the ESDI Flagship breeds a nascent field and community where methodological ingenuity and natural process understanding come together to shed light onto fundamental theoretical aspects to build innovative methodologies, products and services to tackle real-world challenges facing our planet.
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