Method for Calculating Transients in a Gas Pipeline by A. S. Fikov

“…In the course of the research, the task was set to obtain a mathematical model of the process taking into account the inertial term of the equation of motion, the neglect of which is possible only if the friction losses are exceeded by 3.5–4 times over the shock pressure. …”
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Environmentally friendly construction technologies selection criteria in the Arctic by A. A. Kuzmenkov, A. V. Kaychenov

“…The purpose of the study is to substantiate a set of criteria for “green” for the northern and Arctic regions of the Russian Federation on the basis of logically interrelated models: a design model, a full-scale model, mathematical models and a digital twin model. The main criteria include energy efficiency and environmental safety of buildings.Materials and methods. …”
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Understanding the risks for post-disaster infectious disease outbreaks: a systematic review protocol by Ilan Kelman, Gina E C Charnley, Katy Gaythorpe, Kris Murray

“…The authors intend to use the results to inform future mathematical modelling studies.…”
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A deep learning approach for predicting the antenna pointing error caused by transmission faults with simulation data by Lihui Chen, Song Xue, Peiyuan Lian, Qian Xu, Meng Wang, Congsi Wang

“…Furthermore, to link antenna fault diagnosis with antenna pointing errors, a mathematical model for antenna axis error analysis has been established. …”
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Nonhomogeneous Markov chains for degeneration behaviour of RC members’ durability and its Bayesian updating by Ruiqi Guo, Dengguo Li, Guoxin Chen, Yu Jin, Hui Li, Yuanpeng Zhang

“…From the perspective of simplifying the mathematical model, the paper addresses the issue of information updating in the degradation process. …”
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Automatic Sleep Stage Classification Based on Convolutional Neural Network and Fine-Grained Segments by Zhihong Cui, Xiangwei Zheng, Xuexiao Shao, Lizhen Cui

“…However, traditional automatic sleep stage classification is quite challenging because of the complexity associated with the establishment of mathematical models and the extraction of handcrafted features. …”
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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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Phase II study of concomitant radiotherapy with atezolizumab in oligometastatic soft tissue sarcomas: STEREOSARC trial protocol by Nicolas Penel, Dominique Vaur, Juliette Thariat, Alexandre Escande, Jennifer le Guevelou, Colin Debaigt, Esma Saada-Bouzid, Julien Viotti, Nazim Khalladi, David Thibouw, Marie Pierre Sunyach, Laurence Moureau-Zabotto, Mohamed Benchalal, Ovidiu Veresezan, Anne Ducassou, Cecile le Pechoux, Maria Jolnerovski, Celine Bazille, Raphael Serre, Christine Lovera

“…The secondary objectives include PFS by immune response criteria, overall survival, quality-of-life evaluation and developing mathematical models of tumour growth and dissemination predictive of oligometastatic versus polymetastatic evolution. …”
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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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Evaluation of the vibration state and determination of the stress-strain state of the trash-rack structure of the hydroelectric power plants by A. S. Antonov, N. P. Karablin, K. Ju. Baud, I. V. Baklykov

“…The second block is mathematical modelling. The hydraulic regime and the stress-strain state were specified, frequencies and forms of natural vibrations of the structure were determined. …”
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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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Jean-Baptiste Camps, La Chanson d’Otinel. Édition complète du corpus manuscrit et prolégomènes à l’édition critique by Jean-Baptiste Camps

“…Methods from the fields of mathematical modelling, statistics, algorithmic, and artificial intelligence are put to use, as well as processes seeking to allow interoperability, scalability, and systematisation of editorial work (optical character recognition, linguistic tagging, collation), in a workflow centred on analysis. …”
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Natural Polymer Derivative-based pH responsive Nanoformulations Entrapped Diketo-tautomers of 5-fluorouracil for Enhanced Cancer Therapy by Anbazhagan Thirumalai, Koyeli Girigoswami, Karthick Harini, Venkatakrishnan Kiran, Pazhani Durgadevi, Agnishwar Girigoswami

“…Conclusion: In acidic conditions, there is a greater release of 5-FU than neutral pH levels, indicating a pH-responsive release profile beneficial for cancer treatment, with the release mechanism of OSANPs following Fickian diffusion as identified by a Korsmeyer-Peppas mathematical model and the formu¬lation showing improved therapeutic efficacy. …”
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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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Numerical Simulation of Distribution Characteristics of Hydraulic Fish Habitat Index in 90° Spur Dike Areas by JIANG Li, DENG Xiaolong, ZHONG Liang, CHEN Jingyuan, ZHONG Xueyi, LIU Xiangqian, FU Qiang

“…The study of fish habitat in spur dike areas is of great significance to the ecological protection of rivers.In this paper,the distribution characteristics of the hydraulic fish habitat index in a spur dike area are discussed by a three-dimensional (3D) mathematical model for water flow.The results reveal that ① the flow velocity increases with the Froude number Fr;the width of the back flow area behind the dike decreases gradually,and the main flow area changes from rapidly varied flow to gradually varied flow and gradually returns to uniform flow.② The flow velocity gradient G in the main flow and back flow areas is small;the areas with G&gt;2 are mainly concentrated on the left and right banks of the water channel and near the spur dike head,and on the cross-section,G declines as Fr grows.③ The distribution characteristics of the kinetic energy gradient M on the section of the spur dike from upstream to downstream are similar to those of G.The high-value areas of M appear on the right bank of the water channel and in the section with the relative channel width B⁺ of 0.25~0.40 near the spur dike head,but M is small on the left bank of the water channel and has little change along the way.④ With the increase in Fr,the velocity suitability S_u in the upstream of the spur dike decreases,while S_u at the spur dike and in the downstream cross-section of the spur dike increases.S_u of the back flow area in the downstream of the spur dike is small,generally not more than 0.3,while S_u in the main flow area may exceed 0.8,which indicates that the spawning habitat of fish in this area is better.The research results can provide a reference for the protection of fish resources in spur dike areas and the construction of ecological waterway projects.…”
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Nanoscale Titanium Oxide Memristive Structures for Neuromorphic Applications: Atomic Force Anodization Techniques, Modeling, Chemical Composition, and Resistive Switching Propertie... by Vadim I. Avilov, Roman V. Tominov, Zakhar E. Vakulov, Daniel J. Rodriguez, Nikita V. Polupanov, Vladimir A. Smirnov

“…Three anodization synthesis techniques were considered to allow the formation of structures with different sizes and productivity: nanodot, lateral, and imprint. The mathematical model allowed us to calculate the processes of oxygen ion transfer to the reaction zone; the growth of the nanostructure due to the oxidation of the titanium film; and the formation of TiO, Ti₂O₃, and TiO₂ oxides in the volume of the growing nanostructure and the redistribution of oxygen vacancies and conduction channel. …”
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