Machine vision model for drip leakage detection of pipeline. by Cong Xiao, Yiyuan Zhou, Yanwen Wu, Guodong Zhang

“…Morphological reconstruction and region-filling techniques are used to remove the noise caused by shooting in the side cross-section image, such as hollow, reflection, and irregular droplet edge, to upgrade the quality of the solution droplet edge. The mathematical model is established for boundary position points extracted from the droplet side cross-section image. …”
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Kinetic simulation of uranium migration in granite fissure media of beishan, gansu, China: A case study based on the Laplace transform and inverse transform methods by Xianzhe Duan, Cong Du, Nan Li, Jiaxin Duan, Zhenping Tang

“…In this study, the granite rock masses in Beishan, Gansu were selected to construct a physical and mathematical model of U-238 migration using the Laplace transform and inverse transform methods. …”
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Multiobjective Optimization Design and Performance Prediction of Centrifugal Pump Based on Orthogonal Test by Yuqin Wang, Xinwang Huo

“…In order to improve the hydraulic performance of the centrifugal pump, based on the original model, the optimization mathematical model with the four indexes head, efficiency, shaft power, and pump net positive suction head as objective function was established, and the multiobjective optimization design of the centrifugal pump was carried out by orthogonal test. …”
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Co-dynamics of hepatitis B and C viruses under the influence of CTL immunity by A.M. Elaiw, GH.S. Alsaadi, A.A. Raezah, A.D. Hobiny

“…Understanding the cytotoxic T lymphocyte (CTL) immune response against hepatitis B virus (HBV) and hepatitis C virus (HCV) infections is crucial, as these infections can lead to liver cirrhosis and cancer. Mathematical models provide valuable support for biological and medical research by helping to understand the within-host dynamics of single or multiple viral infections and by aiding the development of effective drug therapies. …”
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Development of a structural equation model for sustainable construction practices in Nigeria by H. C. O. Unegbu, D. S. Yawas, B. Dan-asabe, A. A. Alabi

“…Government policies exhibited the most considerable influence across three sustainability domains: environmental sustainability (ENS), social sustainability (SS), and economic sustainability (ES), as indicated by GPR → ENS (β = 0.87), GPR → SS (β = 0.68), and GPR → ES (β = 0.72), all p < 0.05. The derived mathematical model for Sustainable Construction Practices (SCP) is SCP = 0.01 + 0.5x + 0.3y + 0.2z, where x, y, and z represent environmental, social, and economic sustainability, respectively. …”
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Data mining approach in detecting inaccurate financial statements in government-owned enterprises by Amra Gadžo, Mirza Suljić, Adisa Jusufović, Slađana Filipović, Erna Suljić

“…Leveraging the identified attributes, a mathematical model could potentially be formulated to effectively predict financial statements of government-owned enterprises in FBiH. …”
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Deep learning solutions for inverse problems in advanced biomedical image analysis on disease detection by Amal Alshardan, Hany Mahgoub, Nuha Alruwais, Abdulbasit A. Darem, Wafa Sulaiman Almukadi, Abdullah Mohamed

“…Abstract Inverse problems in biomedical image analysis represent a significant frontier in disease detection, leveraging computational methodologies and mathematical modelling to unravel complex data embedded within medical images. …”
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Distribution of energy in propagation for ocean extreme wave generation in hydrodynamics laboratory by D. Fadhiliani, M. Ikhwan, M. Ramli, S. Rizal, M. Syafwan

“…In the hydrodynamics laboratory, ships and offshore structures are tested using mathematical models as input to the wave marker. For large wavenumbers, Benjamin Bona Mahony's equation has a stable direction and position in the wave tank. …”
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Influenza A virus vaccine research conducted in swine from 1990 to May 2018: A scoping review. by Sheila Keay, Zvonimir Poljak, Mackenzie Klapwyk, Annette O'Connor, Robert M Friendship, Terri L O'Sullivan, Jan M Sargeant

“…Study of transmissibility under conditions of natural exposure (n = 7), use of mathematical modelling (n = 11), and autogenous vaccine research reported in journals (n = 7), was limited.…”
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Second order slip micropolar MHD hybrid nanofluid flow over a stretching surface with uniform heat source and activation energy: Numerical computational approach by Syed Arshad Abas, Hakeem Ullah, Mehreen Fiza, Ali Akgul, Aasim Ullah Jan, Magda Abd El-Rahman, Seham M. Al-Mekhlafi

“…Methodology: A mathematical model is formulated based on boundary-layer approximations, leading to a system of partial differential equations (PDEs) that describe the flow, thermal, and concentration fields. …”
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A retrial queueing system with processor sharing and impatient customers by V. I. Klimenok

“…The problem of constructing and investigating a mathematical model of a stochastic system with processor sharing, repeated calls, and customer impatience is considered. …”
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Neural Networks Application for the Data of PID Controller for Acrobot by Nguyen Cong Danh

“…Control an Acrobot system, including Neural Network Application for the data of the PID controller (closed form). Mathematical models, Simulink, are also presented specifically through this study. …”
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Forecasting models for leprosy cases: a scoping review protocol by Bruna Oliveira Ascef, Gustavo Laine Araújo de Oliveira, Carmelita Ribeiro Filha Coriolano, Haliton Alves De Oliveira Junior

“…Introduction Leprosy is a neglected tropical disease caused by Mycobacterium leprae that mainly affects the skin, the peripheral nerves, the mucosa of the upper respiratory tract and the eyes. Mathematical models and statistical methodologies could play an important role in decision-making and help maintain the gains in elimination programmes. …”
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The Effect of Interlayer on Water Cut Rise in a Bottom Water Reservoir by Yunpeng Hu, Xiaoling Zhang, Wei Ding, Ziyun Cheng, Liangchao Qu, Penghui Su, Chunliu Sun, Wenqi Zhang

“…In this paper, the mathematical model of two-phase flow in the bottom water reservoir with the interlayer is proposed, and the numerical solution of the model is obtained by a finite element method. …”
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Spare Parts Inventory Optimization for Military Vehicles Using a Mixed Probability Distribution by Mojtaba Salehi, Mojtaba Omidvar, Shohreh Shariati

“…Design/methodology/approach: First, based on the literature review and selected basic articles, the research gaps have been identified, and accordingly, a mathematical model has been developed and solved to optimize the spare parts of military vehicles. …”
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Energy efficiency and indoor climatic conditions in buildings: dynamic modeling for systemic improvement by Inna Bilous, Dmytro Biriukov, Tatiana Eutukhova, Oleksandr Novoseltsev, Volodymyr Voloshchuk, Aleksejs Prozuments

“…Based on the developed mathematical models, the dynamic modes of building energy supply systems are studied and recommendations for improving their efficiency are given. …”
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Development of Curcumin Encapsulated Liposomes in Chlorhexidine-Loaded Organogel Using Ternary Phase Systems for Treatment of Omphalitis in Infants by Ibilola Mary Cardoso-Daodu, Margaret Okonawan Ilomuanya

“…The in vitro release profile best fits the Higuchi mathematical model implying that curcumin release was by diffusion and dissolution mechanism. …”
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Thermal performance of Falkner Skan model (FSM) for (GOMoS2)/(C2H6O2-H2O) 50:50% nanofluid under radiation heating source by Mutasem Z. Bani-Fwaz, Adnan, Sami Ullah Khan, B. Shankar Goud, Tadesse Walelign, Kanayo Kenneth Asogwa, Iskander Tlili

“…Further, the improved thermal-physical characteristics of hybrid nanofluids will use to enhance the thermal productivity. A mathematical model is developed for the flow situation of (GO-MoS2)/(C2H6O2-H2O) and treated numerically. …”
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Ultrasonic and Microwave-assisted Solid-Liquid Extraction of Ginkgo biloba Phenolics: Study about Mass Transfer and PID Control by Chi XU, Hebin XU, Rui ZHU, Jing LI, Dandan LI, Yongbin HAN, Yi ZHENG, Yang TAO

“…A diffusion-based mathematical model was developed to explore the mass transfer mechanism about the studied extraction processes, and PID control algorithms were implemented to accurately control the extraction process. …”
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Influence of Wellbore Dogleg Severity on Drilling Friction in Horizontal Wells by Shitang Chen, Gui Hu, Xueqin Huang, Guohui Zhang, Xinyun Liu

“…Aiming at this issue, a mathematical model for computing the radial force caused by axial tension, string bending, and gravity of the string was established. …”
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