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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Ion homeostasis in the regulation of intracellular pH and volume of human erythrocytes by О. І. Доценко, Г. В. Тарадіна

“…Material and Methods: The mathematical model was developed using general approaches to modeling cellular metabolism, which are based on systems of ordinary differential equations describing metabolic reactions, passive and active ion fluxes. …”
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Enhancement of chemotherapy using oncolytic virotherapy: Mathematical and optimal control analysis by Joseph Malinzi, Rachid Ouifki, Amina Eladdadi, Delfim F. M. Torres, K. A. Jane White

“…To investigate how virotherapy could enhance chemotherapy, we propose an ODE based mathematical model describing the interactions between tumour cells, the immune response, and a treatment combination with chemotherapy and oncolytic viruses. …”
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Detection of respiratory frequency rhythm in human alpha phase shifts: topographic distributions in wake and drowsy states by Aleksandar Kalauzi, Zoran Matić, Edin Suljovrujić, Tijana Bojić

“…Among EEG and intracranial measurements, the effect of respiration was prevailingly studied on amplitude/power in all frequency bands.MethodsSince phases of EEG oscillations received less attention, we applied our previously published carrier frequency (CF) mathematical model of human alpha oscillations on a group of 10 young healthy participants in wake and drowsy states, using a 14-channel average reference montage. …”
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Study on the heat transfer characteristics of mine roadway surrounding rock under periodic airflow temperature: Numerical simulation and experimental validation by Mingyan Guo, Yueping Qin, Dongyang Han, Fei Tang, Shibin Wang, Hairong Wang

“…In this work, a heat transfer mathematical model of roadway surrounding rock under periodic airflow temperature was established. …”
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Detection Method for Bolt Loosening Based on Summation Coefficient of Absolute Spectrum Ratio by Haoyang Guo, Jianfeng Zhong, Bin Feng, Yulong Chen, Shuncong Zhong

“…Subsequently, the spectrum ratio curves between healthy and non-healthy structures are calculated for different degrees of bolt loosening, and then the Summation Coefficient of Absolute Spectrum Ratio (SCASR) is defined to indicate the looseness. In the mathematical model, a linear relationship is observed between the SCASR and the frequency shift of the resonance peak. …”
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Experimental and Modeling Study for the Solar-Driven CO₂ Electrochemical Reduction to CO by Matteo Agliuzza, Roberto Speranza, Andrea Lamberti, Candido Fabrizio Pirri, Adriano Sacco

“…The integrated device successfully produces CO with a faradaic efficiency of 73.85% at a current density of J = 3.35 mA/cm² under 1 sun illumination, with the result validated and reproduced by the mathematical model. Under reduced illumination conditions of 0.8 and 0.6 suns, faradaic efficiencies of 68.5% and 64.1% were achieved, respectively.…”
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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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A Multivent System for Non-Invasive Ventilation: Solving the Problem of Ventilator Shortage During the COVID-19 Pandemic by Shuai Ren, Xiaohan Wang, Liming Hao, Tao Wang, Zujin Luo

“…Meanwhile, the mathematical model of the multivent system is established and validated through experiments. …”
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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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Determining the Height of Water-Flowing Fractured Zone in Bedrock-Soil Layer in a Jurassic Coalfield in Northern Shaanxi, China by Jie Feng, Sujian Wang, Enke Hou, Xiang Ding, Huijun Duan

“…The microresistivity scanning imaging results were consistent with those obtained by other methods. (2) Based on the thickness of the soil layer and the bedrock, the height model of the water-flowing fracture zone was divided into four regions, that is, the thick bedrock-thick soil layer region, thick bedrock-thin soil layer region, thin bedrock-thin soil layer region, and thin bedrock-thick soil layer region. A mathematical model describing the difference between the thickness of the water-flowing fractured zone and the bedrock and the thickness of the soil under the condition of bedrock-soil was established. (3) We conclude that microresistivity scanning imaging technology can accurately detect the height of the water-flowing fractured zone in a soil layer, and the apparent density logging and long-range gamma logging can precisely detect the height of the water-flowing fractured zone in bedrock. …”
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The Law of Fracture Evolution of Overlying Strata and Gas Emission in Goaf under the Influence of Mining by Cheng Cheng, Xiaoyu Cheng, Rui Yu, Wenping Yue, Chao Liu

“…The mine is characterized by overlying strata fracture in goaf during the process of working face mining. A mathematical model of gas source emission from the working face and gas migration and the finite element COMSOL software were used to simulate the law of gas migration in the region with overlying strata fissures under the influence of mining. …”
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Optimization Research on the Performance of the RC-DTH Air Hammer Based on Computational Fluid Dynamics by Zihao Liu, Yongjiang Luo, Wenchao He, Rui Tao, Jiangfu He, Yongliang Sun, Hongwei Chen, Qianting Hu

“…To optimize the performance of the RC-DTH air hammer, a mathematical model detailing each phase of the piston’s movement has been constructed in the present work. …”
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Study of the passage of low-frequency ultrasonic vibrations through heterogeneous biological media during ultrasonic sanitation of urological catheters by A. A. Novikov, A. R. Putintseva, A. Yu. Tsukanov, D. S. Akhmedov

“…To achieve the goal, a mathematical model for the propagation of ultrasonic vibrations in heterogeneous media has been developed, and clinical studies have been carried out. …”
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Collaborative communication-based ocean observation research with heterogeneous unmanned surface vessels by Zhen Kang, Zhen Kang, Miao Gao, Miao Gao, Zihao Liao, Anmin Zhang, Anmin Zhang

“…First, this study establishes a three-degree-of-freedom motion mathematical model for an underdriven USV considering environmental interference. …”
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Adsorption of Safranin‐O Dye Onto Almond Shell Sustainable Activated Carbon: Identifying Key Process Factors and Their Effects by Nawras J. Jassim, Fitna H. Younis, Maher T. Alshamkhani

“…A definitive screening design DSC was utilized to quickly examine the impact of six adsorption process factors (initial dye concentration, pH, ionic strength, adsorbent dose, contact time, and ultrasonic power) on the adsorption capacity of safranin dye. A mathematical model was developed to determine the effect of each factor and the contribution and interactions between the factors on the adsorption capacity of safranin dye. …”
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MHD flow of Williamson nanofluid using effective similarity variable considering viscous dissipation and thermal radiation over a non-linear stretching surface via OHAM by Muhammad Awais Sherani, Muhammad Sohail, Ibrahim Mahariq, Syed Tehseen Abbas

“…The conservation laws of mass, momentum, and energy which are represented as partial differential equations form the foundation of the mathematical model. Using an appropriate similarity transformation, these equations are converted into ordinary differential equations, which can then be resolved numerically OHAM technique. …”
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Determine the Inflow Performance Relationship of Water Producing Gas Well Using Multiobjective Optimization Method by Xiao-Hua Tan, Jian-Yi Liu, Jia-Hui Zhao, Xiao-Ping Li, Guang-Dong Zhang, Chuan Tang, Li Li

“…Based on the basic theory of fluid mechanics in porous medium, using the principle of mass conservation, and considering the process of dissolution and volatilization of gas and water formation, this paper establishes a new mathematical model of gas-water two-phase flow. Multiobjective optimization method is used to automatically match the sample well production data in water drive gas reservoirs and then we can achieve the sample well’s productivity equation, relative permeability curve, water influx intensity, and single well controlled reserves. …”
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Optimal configuration strategy of energy storage considering flexible response of high energy-consuming industrial and mining loads in independent microgrid by Cuomu Yixi, Xiaoming Liu, Yu Li, Jingming Tan, Zhihong Liu, Basang Danzeng, Lei Wang

“…Firstly, considering the production process of extracting lithium from salt lakes brine and the electricity consumption characteristics of major energy-consuming equipment, a mathematical model is developed to quantify the flexibility adjustment potential of lithium mining loads under production behavior constraints. …”
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A model for predicting acute heart failure in patients with acute myocardial infarction by taking into account energy and adipokine metabolism indicators by M.Yu. Koteliukh

“…The study showed decreased levels of adropin, irisin and CTRP3 and increased levels of FABP4 in AMI patients. A mathematical model for predicting AHF development in AMI patients was proposed. …”
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