CONTACT AND ROTATION ANALYSIS OF SINGLE ROLLER ENVELOPING FACE WORM DRIVE by LIAO HongHui, LIU ZaiXin, LI LingYu, WANG XuDong

“…The average self-rotation angle velocity of roller in height direction is deduced and its value calculated by using numerical integration function of Matlab mathematical tool software. And the angle of roller in meshing period is obtained with the help of numerical integration function of Matlab. …”
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Activation of Smurf E3 ligase promoted by smoothened regulates hedgehog signaling through targeting patched turnover. by Shoujun Huang, Zhao Zhang, Chunxia Zhang, Xiangdong Lv, Xiudeng Zheng, Zhenping Chen, Liwei Sun, Hailong Wang, Yuanxiang Zhu, Jing Zhang, Shuyan Yang, Yi Lu, Qinmiao Sun, Yi Tao, Feng Liu, Yun Zhao, Dahua Chen

“…Mechanistically, we found that Smo interacts with Smurf and promotes it to mediate Patched ubiquitination by targeting the K1261 site in Ptc. The further mathematic modeling analysis reveals that a bidirectional control of activation of Smo involving Smurf and Patched is important for signal-receiving cells to precisely interpret external signals, thereby maintaining Hedgehog signaling reliability. …”
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Design of the Engine Timing Silent Chain System Based on the Pitch-variation Algorithm by Wang Yujin, An Lichi, Wang Jiawei

“…Based on a timing silent chain system in two-axle type engines, the mathematical model of the correct ideal chain path was established, and an algorithm for automatically computing the radius of the loose side or tension side chain and its corresponding wrap angle was presented. …”
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Small signal stability in low-renewable power systems: A 138 kV Santo Domingo case study by Ángel José Sánchez-Sánchez, Miguel Aybar-Mejía, Víctor Ernesto Peralta-Maxwell, Ángel Dagoberto Germán-Encarnación, Eduardo De León-Concepción, Deyslen Mariano-Hernández

“…Significant disturbances can induce unstable conditions with potentially serious consequences, such as widespread power outages. Advanced mathematical techniques address these issues, such as the Fourier transform and the Prony method. …”
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The nonlinear cysteine redox dynamics in the i-space: A proteoform-centric theory of redox regulation by James N. Cobley, Panagiotis N. Chatzinikolaou, Cameron A. Schmidt

“…Using computational approaches, we quantify the vast size of the abstract i-space, revealing its scale-free architecture—elucidating the disproportionate influence of cysteine-rich proteins. We define mathematical rules governing cysteine proteoform dynamics. …”
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An adjustable acoustic metamaterial cell using a magnetic membrane for tunable resonance by Alicia Gardiner, Roger Domingo-Roca, James F. C. Windmill, Andrew Feeney

“…A functionally superparamagnetic membrane—devised to facilitate the fabrication process by eliminating magnetic poling requirements—is engineered using stereolithography, and its mechanical and acoustic properties are experimentally measured using laser Doppler vibrometry and electret microphone testing, with a mathematical model developed to predict the cell response. …”
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Improved Rifamycin B Production by Nocardia mediterranei MTCC 14 under Solid-State Fermentation through Process Optimization by Basavaraj M. Vastrad, Shivayogeshwar E. Neelagund, Sudhir R. Iiger, Ajeet M. Godbole, Venkatrao Kulkarni

“…At these optimum production parameters, the maximum yield of rifamycin B obtained experimentally (9.87 g/kgds dry sunflower oil cake) was found to be very close to its predicted value of 10.35 g/kgds dry sunflower oil cake. The mathematical model developed was found to fit greatly with the experimental data of rifamycin B production.…”
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Rough-Set-Based Real-Time Interest Label Extraction over Large-Scale Social Networks by Xiaoling Huang, Lei Li, Hao Wang, Chengxiang Hu, Xiaohan Xu, Changlin Wu

“…However, it is extremely time-consuming for constructing subgraphs. As an effective mathematical method to deal with fuzzy and uncertain information, rough set-based representations for subgraph stream construction are capable of capturing the uncertainties of the social network. …”
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Limitations of Smoothening Functions for Automotive Vibro-Impact Problems by Zhiwei Zhang, Rajendra Singh, Ashley R. Crowther

“…The torsional stiffness and inertial distribution of such systems show that the underlying mathematical problem is numerically stiff. In addition, the clearance nonlinearities in the gear meshes introduce discontinuous functions. …”
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Research and Application of Data-driven Forecast Method for Water Level Increment of Small and Medium-sized Rivers by DING Wu, LIN Hanxiong, WANG Hangang, ZHANG Wei, YANG Bin

“…Focusing on the forecast of flash flood disasters in small and medium-sized rivers,this paper adopts three data-driven forecast models to forecast the maximum water level increment.With Paitan Town,Zengcheng District,Guangzhou City as the research area,the mathematical modeling and accuracy evaluation of the three models are carried out.The analysis shows that the forecast accuracy of machine learning is the highest,but the forecast results are not interpretable.The forecast accuracy of the similarity analysis model is medium,and the prediction results have good cognition and interpretability.The overall prediction accuracy of the “rainfall-water level increment” relationship model is the lowest,but its operation is simple.The calculation of the similarity analysis model and machine learning model is relatively complex,relying on computer-aided calculation,and the results of the “rainfall-water level increment” relationship model can be plotted as graphs.Considering the forecast accuracy and convenience,multiple models such as the machine learning model and similarity analysis model can be applied for the forecast to improve the forecast accuracy if there is support from auxiliary equipment such as computers and mobile phone applications.Without support from computers and other basic equipment,the “rainfall-water level increment” relationship model can provide a convenient forecast method for flash flood forecast and early warning in small and medium-sized rivers.…”
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A Finite Element Analysis-Based Modeling and Evaluation Method for Sternum Support Brace by Linhua Lv, Junyi Hu, Wanquan Liu, Jianqing Peng

“…First, a 3D model of the brace was constructed using 3D scanning technology, followed by mathematical modeling using the finite element method. …”
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A Simulation-Based Dynamic Programming Method for Interchange Scheduling of Port Collecting and Distributing Network by Yun Peng, Wenyuan Wang, Xinglu Xu, Modi Chen, Xiangqun Song, Xiangda Li

“…Two simulation models are built to figure out the delay cost in the optimization model, which cannot be calculated by mathematical analysis due to complex vehicle travel patterns and irregular traffic volume caused by random events, such as the arrival pattern of ships’, natural conditions, and storage period of cargos. …”
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Torque and d-q axis current dynamics of an inverter fed induction motor drive that leverages computational intelligent techniques by Shaswat Chirantan, Bibhuti Bhusan Pati

“…Emphasizing the significance of Model Predictive Control (MPC) in modern optimization of control systems, the proposed research distinctively highlights its predictive prowess through the application of current state variables and well-structured mathematical models. We introduced a Predictive Current Control (PCC) strategy applied to a Three-Phase Inverter-fed Induction Motor (IM), with a particular focus on the Sequential Model methodology. …”
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Optimal relay selection for full duplex SWIPT-NOMA systems with maximal throughput by Taoshen LI, Anni SHI, Zhe WANG, Lu HE

“…To improve the performance of 5G communication system, a full duplex Internet of things (IoT) relay system model was built by introducing the non-orthogonal multi-access (NOMA) technology.For the relay system of simultaneous wireless information and power transfer (SWIPT), it was considered that the relay node can harvest the energy of the source node, the self-interference signal of the loop channel and the free energy access point (EAP), and NOMA technology was used to forward the source node signal and its own signal to different destination nodes.Based on the model, a power distribution collaboration SWIPT relay selection strategy was proposed to optimize system throughput.Firstly, the problem model was established based on the constraints of communication quality of service and transmission power of source nodes.And then, the original nonlinear 0-1 programming problem was converted into a pair of coupling optimization problem by mathematical transformation, and the optimal relay selection of outer optimization problem was solved based on the optimal solution of the internal optimization problem.Finally, an optimal relay selection algorithm was used to maximize system throughput.Simulation results show that the proposed model and strategy are superior to the traditional maximum-minimum relay selection schemes in terms of throughput gain, and the consideration of EAP can significantly improve the interrupt performance.…”
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The levelized cost of energy in the presence of uncertainty on the offshore wind speed by J. Pablo Arenas-López, Mohamed Badaoui

“…Utilizing 40 years of recorded wind speed data sourced from the MERRA-2 reanalysis, we derive the input parameters of the models from fitting to 4-parameter Dagum and Johnson SB probability distributions, which shows that accurate modeling of offshore wind speeds requires dealing with complex mathematical functions that need numerical computation. …”
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Steepest-Ascent Revisited: Unconstrained Missile Trajectory by Elsayed M. Khalil, Hao Zhou, Wanchun Chen

“…A detailed numerical solution, starting from building the mathematical formulation till generating an offline angle of attack control history, is illustrated. …”
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Construction of Gene Regulatory Networks Using Recurrent Neural Networks and Swarm Intelligence by Abhinandan Khan, Sudip Mandal, Rajat Kumar Pal, Goutam Saha

“…We have used established information and the fundamental mathematical theory for this purpose. We have employed the Recurrent Neural Network formalism to extract the underlying dynamics present in the time series expression data accurately. …”
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Economic optimization configuration of energy storage in distribution network considering the attenuation of aging photovoltaic output by HU Haipeng, ZHAO Ping, LI Yan, HOU Qingxing, WANG Guanghui, LI Zhenxing

“…The impact of aging PV generation decay rate and operational lifespan on actual PV output is thoroughly analyzed, leading to the development of a mathematical relationship between PV output and rated energy storage power and capacity. …”
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Study on Spatio-Temporal Variation of Runoff in Flood Season in Hanjiang River Basin by WANG Dong, WU Dongdong, XIE Xiaobai, LI Xuehui

“…Based on the average daily flow data of five typical hydrologic stations from 1956 to2016 in the Hanjiang River Basin, this paper analyzes the spatio-temporal vibrationcharacteristics of runoff in flood season by means of mathematical statistics, establishes the VICmodel applicable to Hanjiang River Basin according to the hydrometeorological data, DEM, soil typeand vegetation cover data, and analyzes the spatial distribution characteristics of runoff inflood season based on runoff simulation results of the VIC model. …”
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Lightweight Design of Drive Axle Housing based on OptiStruct by Xiaofei Song, Ronghui Lin, Shuaichao Li, Yunfa Qiao, Yulong Ji, Juan Deng, Zhitian Guo

“…Based on the integrated technology of CAD/CAE， the joint design between 3D mathematical model and finite element model is adopted， and the lightweight design of the driving axle housing is realized based on the size optimization algorithm of OptiStruct. …”
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