Performance Modelling of Dual Air/Water Collector in Solar Water and Space Heating Application by Viacheslav Shemelin, Tomas Matuska

“…In the present work, the detailed mathematical model of a dual air/water solar collector (DAWC) has been developed and experimentally verified. …”
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Experimental Snap Loading of Synthetic Ropes by C.M. Hennessey, N.J. Pearson, R.H. Plaut

“…The effects of the type of rope, drop height, drop weight, whether the rope has been subjected to static precycling, and the number of previous dynamic tests are examined. A mathematical model is proposed for the rope force as a function of the displacement and velocity of the weight.…”
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Delay equations modeling the effects of phase-specific drugs and immunotherapy on proliferating tumor cells by Maria Vittoria Barbarossa, Christina Kuttler, Jonathan Zinsl

“…In this work we present a mathematical model for tumor growth based on the biology of the cell cycle.For an appropriate description of the effects of phase-specific drugs, it is necessary to look at the cell cycle and itsphases. …”
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A model of thermotherapy treatment for bladder cancer by Christoph Sadée, Eugene Kashdan

“…We developed a mathematical model and numerically simulated the physical processes related to this treatment. …”
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Identifying Initial Condition in Degenerate Parabolic Equation with Singular Potential by K. Atifi, Y. Balouki, El-H. Essoufi, B. Khouiti

“…This problem can be formulated in a least-squares framework, an iterative procedure which minimizes the difference between the given measurements and the value at sensor locations of a reconstructed field. The mathematical model leads to a nonconvex minimization problem. …”
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Modeling of Random Delays in Networked Control Systems by Yuan Ge, Qigong Chen, Ming Jiang, Yiqing Huang

“…In order to compensate for random delays which may lead to performance degradation and instability of NCSs, it is necessary to establish the mathematical model of random delays before compensation. …”
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Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts by Nossaiba Baba, Imane Agmour, Yousef El Foutayeni, Naceur Achtaich

“…In this paper, we develop and study a mathematical model for the dynamics of Scomber colias and Thunnus thynnus prey-predator with parasitic helminths. …”
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Theoretical analysis of expansion process of wet water vapor in working chamber of piston long-stroke linear drive of compressor unit by A. A. Kapelyukhovskaya, G. I. Chernov, A. Yu. Gromov, A. M. Kalashnikov, V. I. Karagusov, A. M. Paramonov

“…The study is carried out on the basis of the developed mathematical model, which includes both the basic thermodynamic equations and the equations describing the process of heat exchange of the working substance with the walls of the working chamber during the expansion process. …”
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Some features of implementation of design model of high-pressure centrifugal compressor stage with inlet guide vanes by V. V. Karabanova, A. D. Vanyashov, V. L. Yusha

“…The analysis of implementation features of the mathematical model of a transonic centrifugal compressor stage with an input guide vanes (IGV) and a semi-open axial-radial impeller has been carried out. …”
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An Analytical Approach on Thermally Induced Vibrations of Nonhomogeneous Tapered Plate by Anupam Khanna, Ashish Singhal

“…A mathematical model to control the vibrations of a rectangular plate is constructed with an aim to assist engineers in designing and fabrication of various structures used in the field of science and technology, mostly used in satellite and aeronautical engineering. …”
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Investigation of applicability of Peng–Robinson and GERG-2008 equations of state of real gas for calculating properties of Freons for refrigeration machines and compressors by M. I. Sokolov, Yu. V. Kozhukhov

“…As a result of this work, data have been obtained to evaluate the accuracy of the Peng–Robinson and GERG-2008 equations of state for each of the three CFCs, to evaluate the effectiveness of these equations, and to provide recommendations for the calculation and application of these equations in the design and mathematical modelling of refrigeration machines…”
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Terahertz Generation in an Electrically Biased Optical Fiber: A Theoretical Investigation by Montasir Qasymeh

“…A ring resonator is utilized to boost the optical intensities in the biased optical fiber. A mathematical model is developed which is supported by a numerical analysis and simulations. …”
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Pinched hysteresis loops in non‐linear resonators by Ahmed S. Elwakil, Mohammed E. Fouda, Sohaib Majzoub, Ahmed G. Radwan

“…Abstract This study shows that pinched hysteresis can be observed in simple non‐linear resonance circuits containing a single diode that behaves as a voltage‐controlled switch. Mathematical models are derived and numerically validated for both series and parallel resonator circuits. …”
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Experimental determination of limiting range of vision for underwater laser system by A. S. Golosnoy

“…The calculations and field tests carried out on the basis of the developed mathematical model in real conditions showed the correspondence of theoretical and experimental results.…”
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Analytical Investigation of Some Dynamical Systems by ZZ Transform with Mittag–Leffler Kernel by Mounirah Areshi, Muhammad Naeem, Noorolhuda Wyal

“…Fractional-order solutions are the most in line with the dynamics of the targeted problems, and they provide an endless number of options for an optimal mathematical model solution for a particular physical phenomenon. …”
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Modeling and Analysis of Energy/Exergy for Absorber Pipes of Linear Parabolic Concentrating Systems by Reza Alayi, Mahdi Mohkam, Hossein Monfared, Alibek Issakhov, Nima Khalilpoor

“…The types of solar collectors, specifically the linear parabolic collector, have been comprehensively studied. Then, the mathematical model of heat transfer in the absorber pipe of the collector has been presented based on valid references. …”
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Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model by Ifeanyi Sunday Onah, Obiora Cornelius Collins, Praise-God Uchechukwu Madueme, Godwin Christopher Ezike Mbah

“…We formulate a mathematical model for Lassa fever disease transmission under the assumption of a homogeneously mixed population. …”
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Increasing the cyclic strength of threaded joints through the unloading of cracked sections by Krenevičius A., Kačianauskas R., Leonavičius M., Hui D., Feo L.

“…It was shown how to exploit resources of the threaded joint after opening of the crack without reduction of the safety. The developed mathematical model allows control the accumulation of the fatigue damage as well as the crack growth in the roots of the stud thread. …”
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Water Quality Analysis for the Depletion of Dissolved Oxygen due to Exponentially Increasing Form of Pollution Sources by N. Manitcharoen, B. Pimpunchat, P. Sattayatham

“…Analyzing and improving mathematical models for water quality investigation are imperative for water quality issues around the world. …”
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Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis by Ning Zhang, Tahir Khan, Haomin Guo, Shaoshuai Shi, Wei Zhong, Weiwei Zhang

“…Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. …”
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