Comparison between two generalized Nash models with a same non-zero initial condition by Baowei Yan, Yu Liu, Zhengkun Li, Huining Jiang

“…This paper investigates the relationship and difference between DLCM and GNM both mathematically and experimentally. Mathematically, the main difference lies in the way to estimate the initial storage state. …”
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Evaluating patient-specific neoadjuvant regimens for breast cancer via a mathematical model constrained by quantitative magnetic resonance imaging data by Angela M. Jarrett, David A. Hormuth, II, Chengyue Wu, Anum S. Kazerouni, David A. Ekrut, John Virostko, Anna G. Sorace, Julie C. DiCarlo, Jeanne Kowalski, Debra Patt, Boone Goodgame, Sarah Avery, Thomas E. Yankeelov

“…Toward this end, we have developed an experimental-mathematical framework that integrates quantitative magnetic resonance imaging (MRI) data into a biophysical model to predict patient-specific treatment response of locally advanced breast cancer to neoadjuvant therapy. …”
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Different Experimental and Numerical Models to Analyse Emptying Processes in Pressurised Pipes with Trapped Air by Duban A. Paternina-Verona, Oscar E. Coronado-Hernández, Hector G. Espinoza-Román, Vicente S. Fuertes-Miquel, Helena M. Ramos

“…In general, experimental, mathematical and CFD models had maximum Reynolds numbers ranging from 2670 to 20,467, and it was possible to identify that the mathematical models offered relevant numerical information in a short simulation time on the order of seconds. …”
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Numerical and Experimental Analysis of Aircraft Wing Subjected to Fatigue Loading by Hatem Rahim Wasmi, Haidar Raad Rahim

“…This study deals with the aircraft wing analysis (numerical and experimental) which subjected to fatigue loading in order to analyze the aircraft wing numerically by using ANSYS 15.0 software and experimentally by using loading programs which effect on fatigue test specimens at laboratory to estimate life of used metal (aluminum alloy 7075-T651) the wing metal and compare between numerical and experimental work, as well as to formulate an experimental mathematical model which may find safe estimate for metals and most common alloys that are used to build aircraft wing at certain conditions. …”
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Hygienic substantiation of calculating models for prognosis of toxicity of different classes insecticides (second part) by O.P. Vavrinevych, B.I. Shpak, A.M. Antonenko, S.T. Omelchuk, T.I. Zinchenko

“…This work is the second part of our study to develop alternative experimental mathematic models for predecting toxicity of insecticides, where we carried out a statistical analysis and comparative estimation of the toxicometric parameters obtained experimentally and calculated according to the proposed equations. …”
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Numerical and Experimental Analysis of Aircraft Wing Subjected to Fatigue Loading by Hatem Rahim Wasmi, Prof. Dr., Haidar Raad Rahim, MSc student

“…This study deals with the aircraft wing analysis (numerical and experimental) which subjected to fatigue loading in order to analyze the aircraft wing numerically by using ANSYS 15.0 software and experimentally by using loading programs which effect on fatigue test specimens at laboratory to estimate life of used metal (aluminum alloy 7075-T651) the wing metal and compare between numerical and experimental work, as well as to formulate an experimental mathematical model which may find safe estimate for metals and most common alloys that are used to build aircraft wing at certain conditions. …”
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Level-Set Interface Description Approach for Thermal Phase Change of Nanofluids by Ali Yahyaee, Amir Sajjad Bahman, Klaus Olesen, Henrik Sørensen

“…We implemented the aforementioned coupled level-set and VOF (CLSVOF) method within the open-source OpenFOAM<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>®</mo></msup></semantics></math></inline-formula> framework and conducted a comparative analysis between CLSVOF and VOF (the default interface capturing method) to demonstrate the CLSVOF method’s advantages and disadvantages in various phase change scenarios. Using experimental mathematical correlations from the literature, we consider the effect of nanoparticles on the base fluid. …”
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A Systems Biology Approach Identifies Hidden Regulatory Connections Between the Circadian and Cell-Cycle Checkpoints by Xianlin Zou, Dae Wook Kim, Tetsuya Gotoh, Jingjing Liu, Jae Kyoung Kim, Carla V. Finkielstein

“…Therefore, we advocate for a combined experimental/mathematical approach to elucidating multilevel regulatory cellular processes.…”
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Electrochemical behaviour of poly(3,4-ethylenedioxytiophene) modified glassy carbon electrodes after overoxidation − the influence of the substrate on the charge transfer resistanc... by Dora Zalka, Soma Vesztergom, Mária Ujvári, Gyözö G. Láng

“…The same post-experimental mathematic­cal/ana­lytical procedure could be used also for the estimation of the charge transfer resistance corresponding to the time instant just after overoxidation of the PEDOT film. …”
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Biomechanical, Healing and Therapeutic Effects of Stretching: A Comprehensive Review by Elissaveta Zvetkova, Eugeni Koytchev, Ivan Ivanov, Sergey Ranchev, Antonio Antonov

“…The results obtained are of theoretical and practical interest for the development of new experimental, mathematical, and computational models and the creation of efficient therapeutic programs. …”
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Three Aspects of the Phenomenon of Science: In Search for Unity among Sociologists by N. G. Popova, E. V. Biricheva, T. A. Beavitt

“…In this paper, two dominant sociological views on science – as an experimental-mathematical approach to cognising the world and as a system of representations in general – are compared. …”
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Research of energy efficiency and reduction of environmental pollution in freight rail transportation by Sergejus Lebedevas, Stasys Dailydka, Virgilijus Jastremskas, Paulius Rapalis

“…The use of KE–E on the basis of the conducted complex experimental mathematical computer modelling studies has determined that the reserves reducing fuel consumption, harmful emissions and greenhouse gas (CO2) emissions constitute 6÷15% on an average, and in the case of individual railway network lines they go up to 30%. …”
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Antithetic effect of interferon-α on cell-free and cell-to-cell HIV-1 infection by Ryuichi Kumata, Shoya Iwanami, Katrina B. Mar, Yusuke Kakizoe, Naoko Misawa, Shinji Nakaoka, Yoshio Koyanagi, Alan S. Perelson, John W. Schoggins, Shingo Iwami, Kei Sato

“…Here we perform an experimental-mathematical investigation and reveal that IFN-α strongly inhibits cell-to-cell infection by CC virus but only weakly affects that by TF virus. …”
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The efficiency of modernization of the on-farm irrigation network based on the principle of self-regulation by V. M. Popov, M. M. Targoniy, N. V. Soroka

“…Research methods: experimental, mathematical modeling and mathematical statistics. …”
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Artificial Intelligence for the Prediction of the Thermal Performance of Evaporative Cooling Systems by Hafiz M. Asfahan, Uzair Sajjad, Muhammad Sultan, Imtiyaz Hussain, Khalid Hamid, Mubasher Ali, Chi-Chuan Wang, Redmond R. Shamshiri, Muhammad Usman Khan

“…The existing, conventional methods for the analysis of evaporation-assisted cooling systems rely on experimental, mathematical, and empirical approaches in order to determine their thermal performance, which limits their applications in diverse and ambient spatiotemporal conditions. …”
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Study of the situation of ergonomics training in school textbooks of Iranian educational system from primary to secondary in different field of study,2018 by Masoud Motalebi Kashani, Hakime Zamani-Badi

“…All data were categorized into five categories as follows: (a) Subject (b) Degree (Elementary, First & Secondary school,), (c) Type of presentation (Including: Presentation as sentence, Presentation to Image form or both) d) Quality (Including: Poor, Medium, Good and Excellent) and e) Degree (This section only covers Secondary School: Experimental, Mathematical, Professional Technical, Art, the literature). 449 ergonomics educational topic were found in the all reviewed literature. 73 titles (16.3%) in elementary school, 38 titles (8.5%) in first grade secondary school and 338 titles (75.3%) in secondary schools were found. …”
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