Scientific basis for design low-speed synchronous permanent magnet generators for wind power plants by A. A. Tatevosyan

“…For the stage of verification calculations of VEU parameters, the scientific basis of design is determined by the construction of mathematical models and their research using application software packages for PCs, while for the stage of preliminary calculations, the development of analytical methods of analysis is important. …”
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Method of Helicopter Turboshaft Engines’ Protection During Surge in Starting Mode by Denys Baranovskyi, Serhii Vladov, Maryna Bulakh, Victoria Vysotska, Viktor Vasylenko, Jan Czyżewski

“…This article proposes a mathematical model for protecting helicopter turboshaft engines from surges, starting with fuel metering supply and maintaining stable compressor operation. …”
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Iterative Analytical Solutions for Nonlinear Two-Phase Flow with Gas Solubility in Shale Gas Reservoirs by Xiaoji Shang, J. G. Wang, Zhizhen Zhang

“…Firstly, a nonlinear mathematical model is developed for the two-phase flow of gas and water during shale gas production. …”
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Development and Evaluation of User‐Friendly Modeled Approach for Sustainable Polymer Membranes for Advanced Hemodialysis by Ahmed Khan, Zaib Jahan, Muhammad Ahsan, Muhammad Bilal Khan Niazi, Muhammad Nouman Aslam Khan, Ahmed Sayed M. Metwally, Farooq Sher

“…Abstract Hemodialysis is crucial for patients with end‐stage renal disease, yet evaluating its operating parameters often requires complex mathematical models. To simplify this process, user‐friendly modules have been developed to accurately assess key parameters with minimal inputs, enabling users to track disease prognosis. …”
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Failure risk study of anchor bolts durability for loess slope under long-term hydro-thermal effect by Zhou Chang, Weifeng Sun, Changgen Yan, Hengxing Lan, Yuling Shi, Han Bao

“…The anchor serviceability and durability were evaluated by establishing a time-dependent mathematical model of axial forces. The results show that the slope shallow loess exhibited hydro-thermal fluctuations annually during operation, subjecting the loess to continuous dry–wet cycles. …”
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Digital Modeling of Cone-generated Enveloping Torus Worm by Zhi Liu, Hong Lu, Xin Kuang, Liang Xia

“…The solving algorithm for the complex nonlinear mathematical models is also designed based on the forming principle of the envelope surface， the instantaneous contact line and all meshing point cloud for the tooth profile are calculated， the distribution of contact line of worm tooth profile is also given. …”
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Music Signal Recognition Based on the Mathematical and Physical Equation Inversion Method by Wei Jiang, Dong Sun

“…The paper firstly studies the modeling of music signal and its analysis and processing algorithm, combining the four elements of music sound, analyzing and extracting the characteristic parameters of notes, and establishing the mathematical model of single note signal and music score signal. …”
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Study of Multi-Service Networks and Communication Systems Using Distributed Network Technology in Mountain Areas by Rustamova D. F., Mehdiyeva A. M., Mahmudova Z. A., Abdullaev J., Sapaev B.

“…The characteristics of corporate multiservice networks and communication systems using the technology of building distributed communication networks are analyzed and investigated, and a mathematical model of quality of service is proposed taking into account the management of information and network resources. …”
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Modeling and Dynamic Performance Analysis of Hydraulic Top Drive Main Transmission System with Long Hydraulic Pipelines by Yuanling Shi, Pingsong Zhang

“…Thus, the effects on the performance of hydraulic top drive should not be neglected. A mathematical model of hydraulic top drive main transmission with differential equation of hydraulic units and state space equation of hydraulic long pipelines was deduced in this research. …”
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A Prediction Method of Electromagnetic Environment Effects for UAV LiDAR Detection System by Min Huang, Dandan Liu, Liyun Ma, Jingyang Wang, Yuming Wang, Yazhou Chen

“…Traditional electromagnetic environment effect prediction methods mostly use a single model of mathematical model and machine learning, but the traditional prediction method has poor processing nonlinear ability and weak generalization ability. …”
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Dynamics of Positive Frequency Dependent Selection Triggers Selection for Silence by I. Hashem, V. De Buck, J. Van Impe

“…We illustrate our hypothesis using a mathematical model of a population of single locus diploid organisms with two alleles where a single mutant of an allele that experiences positive frequency dependent selection appears in a population where the other allele is a dominant. …”
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Analysis of seepage through an earth dam with a diaphragm on an impermeable foundation using PLAXIS 2D by G. V. Orekhov, Tran Manh Cuong

“…In this paper, the analysis of the seepage regimes in the body of earth dams is performed by means of mathematical modelling using numerical finite element models. …”
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A Study on Dynamic Characteristics of Satellite Antenna System considering 3D Revolute Clearance Joint by Zhengfeng Bai, Jijun Zhao

“…The dynamics modeling and analysis of the satellite antenna system are investigated considering the 3D revolute clearance joint. Firstly, the mathematical model of the 3D revolute clearance joint is established, and the definitions of the radial and axial clearance are presented. …”
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Development of Modified-Release Diclofenac Sodium Capsules Using Blends of Pectin-Clay Multiparticulate Hybrid Systems as Release Retardants by Ofosua Adi-Dako, Frederick William Akuffo Owusu, Isaac Yaw Attah, Doris Kumadoh, Prince George Acquah Jnr, Issaka Nelson, Nii Odartey Hutton-Mills, Karen Yaa Yeboaa Obese, Joseph Adusei Sarkodie, Benoit Banga N’guessan, Awo Afi Kwapong, Christina Osei-Asare, Emmanuel Adase, Mary-Ann Archer

“…The diclofenac content, uniformity of the weight of capsules, in vitro drug release, and the kinetics and mechanism of release of diclofenac from the hybrid systems were also investigated using mathematical models. The pectin yield was 23.3%, with the water-holding capacities of pectin-talc (PT) and pectin-bentonite (PB) hybrid systems being 6.4% and 5.0%, respectively. …”
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Theoretical analysis of neuronal network's response under different stimulus. by Haosen Xue, Zeying Lu, Yueheng Lan, Lili Gui, Xiaojuan Sun

“…Conducting pioneering theoretical research using mathematical models is particularly essential for enhancing efficiency and reducing costs. …”
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Mathematical Analysis of Malaria Epidemic: Asymptotic Stability With Cost-Effectiveness Study by Sacrifice Nana-Kyere, Baba Seidu, Kwara Nantomah

“…The disease has unmatched complications in the human host, especially in children. Mathematical models of infectious diseases have been the steering wheel, driving scientists towards elucidation of the dynamic behaviour of epidemics and providing tailored strategic management of diseases. …”
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Thermal performance and MHD peristaltic flow of hybrid nanofluid (Au-Ta/Blood) in an asymmetric conduit with electro-osmosis and shape factor effects by K. Thirunavukarasan, G. Sucharitha

“…The current research aims to create a mathematical model for targeted drug delivery systems, applicable in areas like cancer treatment, genetic disorder therapies, and infection management. …”
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Modeling and Analysis of Lung Water Content Using RF Sensor by Prapti Ganguly, Shreyasi Das, Amlan Chakrabarti, Jawad Yaseen Siddiqui

“…This work is a first of its kind where the dielectric parameters at different levels of hydration have been previously estimated using mathematical models and substituted accordingly in the modeling environment to test the possibility of detection of PE with high precision. …”
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A Finite Element Method for Modeling Diffusion and Drug Release from Nanocellulose/Nanoporous Silicon Composites by Paulo Zúñiga, Marcelo Aravena, Silvia Ponce, Jacobo Hernandez-Montelongo

“…<b>Methods</b>: Release profiles of MB from NC/nPSi composites with varying nPSi concentrations (0%, 0.1%, 0.5%, and 1.0%) were experimentally measured in triplicate using phosphate-buffered saline (PBS) at 37 °C, pH 7.4, and 100 rpm. Mathematical models incorporating linear and quadratic dependencies of the diffusion coefficient on the MB concentration were developed and tested using the FE method. …”
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Study on Two-phase Flow Mechanisms in Nanopore Considering Microcosmic Deformation and Dynamic Capillary Force by Xiangji Dou, Cong Lin, Sujin Hong, Pengfei Zhu, An Wang, Guodong Qi

“…And then, innovative methods to quantify the dynamic capillary force phenomenon under comprehensive influence of pore size, roughness, and pressure are developed. Meanwhile, mathematical models, considering the effect of the pore deformation and dynamic capillary force, are furtherly derived to characterize the water-oil two-phase flow behavior for relatively large nanopores in shale oil reservoir, which can be used to investigate the influence of the vital parameters. …”
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