Development of an Innovative Magnetorheological Gearbox for Positioning Control and Anti-Disturbance of a Robotic Arm by Yuyang Zhang, Shuaishuai Sun, Lei Deng, Guorui Wang, Rui Yu, Weihua Li, Xinglong Gong, Shiwu Zhang, Haiping Du, Jian Yang

“…The classic Bouc–Wen model was used to describe the MR gearbox and then a mathematical model was established for the whole robotic arm. …”
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Reverse Active Modification Method of Tooth Profile for RV Reducer Cycloidal Gear by Xiaotao An, Tianxing Li, Chunrong Xing, Guofeng Wang, Meng Tian

“…></graphic></alternatives></inline-formula> of the parabolic modification method are taken as the modification variables of the tooth profile, and the mathematical model of the reverse modification of the tooth profile is established with the minimum transmission error as the objective function. …”
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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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An amplification mechanism for weak ELF magnetic fields quantum-bio effects in cancer cells by Amirali Zandieh, Seyed Peyman Shariatpanahi, Amir Abas Ravassipour, Javad Azadipour, Maryam Sadat Nezamtaheri, Zahra Habibi-Kelishomi, Mojtaba Ghanizadeh, Ali Same-Majandeh, Keivan Majidzadeh-A, Amir Taheri, Alireza Madjid Ansari, Mohammad Amin Javidi, Mohammad Mehdi Pirnia, Bahram Goliaei

“…In this study, we use a mathematical model of ROS dynamics in cancer cells to show how ROS oscillatory patterns can act as a resonator to amplify the small effects of the magnetic fields on the radical pair dynamics in mitochondrial Complex III. …”
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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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Corrections to &#x201C;Frequency Limited &#x0026; Weighted Model Reduction Algorithm With Error Bound: Application to Discrete-Time Doubly Fed Induction Generator Based Wind Turbin... by Sajid Bashir, Muhammad Imran, Sammana Batool, Muhammad Imran, Mian Ilyas Ahmad, Fahad Mumtaz Malik, Muhammad Salman, Abdul Wakeel, Usman Ali

“…Compared to <xref ref-type="bibr" rid="ref2">[2]</xref>, <xref ref-type="bibr" rid="ref3">[3]</xref>, mathematical model and simulations in <xref ref-type="bibr" rid="ref1">[1]</xref> are done for frequency weighted and limited scenarios for discrete time systems.…”
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Elastic deformation impact on trihybrid nanofluid flow through different geometries with the combine effects of electrophoresis and thermophoresis by Munawar Abbas, A. Al-Zubaidi, Abdullah A. Faqihi, Ilyas Khan, A.F. Aljohani, Abdoalrahman S.A. Ome, Ahmed M. Gala

“…This study inspected the impacts of thermophoresis and electrophoresis on the rate of aerosol particle deposition through cone, plate, wedge geometries in a Marangoni convective flow. The proposed mathematical model becomes more innovative by taking into account the effects of elastic deformation, variable thermal conductivity and mixed convection. …”
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Creation methodology for calculating methane low-flow low-speed compressor stages based on data processing of experimental study by S. S. Busarov, I. S. Busarov, A. V. Nedovenchany, R. E. Kobylskiy, A. A. Kapelyukhovskaya, E. V. Zaushitsyn, A. Yu. Gromov

“…This article presents the results of a set of works carried out to adapt the existing mathematical model for calculating the working processes of low-speed compressor stages for methane compression and to create an engineering methodology for calculating the performance of the stage based on the experimental data obtained.…”
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Unsupervised deep learning method for single image super-resolution of the thick pinhole imaging system using deep image prior by Guoguang Li, Liang Sheng, Baojun Duan, Yang Li, Dongwei Hei, Qingzi Xing

“…The point spread function (PSF) of the imaging system is obtained by analytical calculation and Monte Carlo simulation methods, and the mathematical model of the imaging system is established using a linear equation. …”
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Efficient Path Planning and Formation Control in Multi-Robot Systems: A Neural Fields and Auto-Switching Mechanism Approach by Raouf Fareh, Mohammed Baziyad, Tamer Farouk Rabie, Sofiane Khadraoui, Mohammad Habibur Rahman

“…On the other hand, the follower robots are equipped with an auto-switching potential method, which intelligently toggles between attractive forces guiding the followers toward the leader and repulsive forces preventing collisions based on a mathematical model. The effectiveness of this approach is validated through experiments, demonstrating significant improvements in execution speed, path smoothness, and overall system stability compared to competitive methods, including well-known techniques such as A*, Probabilistic RoadMap (PRM), Rapidly-exploring Random Tree Star (RRT*), and also against recent optimization techniques including Grey Wolf Optimization (GWO) and Whale Optimization Algorithm (WOA).…”
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Primena daljinske detekcije u inventuri mešovitih šuma hrasta lužnjaka by Borota Dragan, Pantić Damjan, Ponjarac Radenko, Popović Aleksandar

“…In high, mixed, middle-aged and maturing Penduculate oak stands, the possibility of using aerial photogrammetry in the inventory was tested, both to obtain informa­tion related to site and stand information and to determine numerical elements (number of trees, basal area and volume per hectare) obtained on the basis of data read from the images (crown diameter, height and estimated breast height diameter of the tree based on the selected mathematical model). Most of the information from the site and stand infor­mation, especially the information about the above-ground parts of the forest (presence of dead cover, ground vegetation, shrubs, weeds, saplings and the degree of their damage, etc.) could not be identified from the image. …”
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Thermal enhancement using variable characteristics and tripartite diffusion features of solar aircraft wings in context of Reiner-Philippoff hybrid nanofluid passing through a para... by Esraa N. Thabet, A.M. Abd-Alla, S.M.M. El-Kabeir

“…With the utilization of the appropriate similarity transformations, partial differential equations that represent the mathematical model can be simplified to ordinary differential equations. …”
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Multifield Coupling Mechanism of Unloading Deformation and Fracture of Composite Coal-Rock by Zhen Yang, Yan Li, Xin Li, Jiayu Zhuang, Hao Li, Xue Wang, Yuning Wang

“…To solve the problem, this paper combines interdisciplinary theories such as damage mechanics and electromagnetic field theory. The mathematical model of multiphysics coupling during loading and unloading of composite coal-rock is deduced. …”
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Estimating the impact of school closures on the COVID-19 dynamics in 74 countries: A modelling analysis. by Romain Ragonnet, Angus E Hughes, David S Shipman, Michael T Meehan, Alec S Henderson, Guillaume Briffoteaux, Nouredine Melab, Daniel Tuyttens, Emma S McBryde, James M Trauer

“…<h4>Methods and findings</h4>We used a mathematical model to simulate the COVID-19 epidemics of 74 countries, incorporating observed data from 2020 to 2022 and historical school closure timelines. …”
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Study of Enzymatic Hydrolysis of Fructans from Agave salmiana Characterization and Kinetic Assessment by Christian Michel-Cuello, Imelda Ortiz-Cerda, Lorena Moreno-Vilet, Alicia Grajales-Lagunes, Mario Moscosa-Santillán, Johanne Bonnin, Marco Martín González-Chávez, Miguel Ruiz-Cabrera

“…Hydrolysis process was monitored by measuring the sugars released and residual substrate by HPLC. A mathematical model which describes the kinetics of substrate degradation as well as fructose production was proposed to analyze the hydrolysis assessment. …”
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Free vibration analysis of aluminum foam metal sandwich panels: a comparative study between numerical and analytical modelling by Zahra Hamdan, Sadeq Bakhy, Muhsin Jweeg

“…The panels consist of an aluminum foam core sandwiched between two aluminum sheets, offering a lightweight yet structurally robust solution, making them ideal for applications in the aerospace and automotive industries. A mathematical model based on classical plate theory (CPT) was developed to compute the natural frequencies of supported rectangular sandwich plates. …”
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Model for predicting metabolic activity in athletes based on biochemical blood test analysis by Victoria A. Zaborova, Evgenii I. Balakin, Ksenia A. Yurku, Olga E. Aprishko, Vasiliy I. Pustovoyt

“…Consequently, an informative mathematical model was developed, which enabled the reliable and timely prediction of the prevalence of one of the metabolic activity phases in the athlete's body. …”
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Using new control strategies to improve the effectiveness and efficiency of the hybrid power system based on the battery storage system by Karima Boutaghane, Habib Benbouhenni, Nedjoua Bennecib, Ilhami Colak, Z. M. S. Elbarbary, Saad F. Al-Gahtani

“…These proposed strategies do not need the mathematical model of the studied system and augment the robustness and stability, where the system performance is great. …”
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Dynamic Voltage Balancing Across Series-Connected 10 kV SiC JBS Diodes in Medium Voltage 3L-NPC Power Converter Having Snubberless Series-Connected 10 kV SiC MOSFETs by Sanket Parashar, Nithin Kolli, Raj Kumar Kokkonda, Ajit Kanale, Subhashish Bhattacharya, Bantval Jayant Baliga

“…To address these challenges, this research develops a mathematical model for the switching transition between 10 kV SiC <sc>mosfet</sc>s and complementary 10 kV SiC JBS diodes in a two-level clamped inductive switching (CIS) test setup. …”
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Performance Analysis of a Parabolic Trough Collector with Photovoltaic—Thermal Generation: Case Study and Parametric Study by Benjamín Chavarría-Domínguez, Susana Estefany De León-Aldaco, Mario Ponce-Silva, Nicolás Velázquez-Limón, Jesús Armando Aguilar-Jiménez, Fernando Chavarría-Domínguez, Ernesto Raúl Rodríguez-García, Heriberto Adamas-Pérez, Ricardo Eliu Lozoya-Ponce, Eligio Flores-Rodriguez

“…This study presents a mathematical model of a parabolic trough solar collector with photovoltaic cells integrated into its solar receiver. …”
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