Design and Analysis of Continuously Variable Transmission based on Nested Structure by Jianming Shen, Jinfu Liu, Juan Li, Shouqi Chen, Linsen Xu, Zhengyan Jiang, Zhipeng Liu, Xingcan Liang

“…Firstly，the mechanism of variable speed transmission is studied to obtain the relationship between transmission ratio and the ratio of planetary gear to sun gear radius，and the nested structure and the axial movement system of planetary gear and sun gear plate are designed. Secondly，the mathematical models of envelope angle on planetary and sun gear，transmission ratio，and radial movement of metal belt are deduced. …”
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Mechanical properties and failure analysis of PLA/copper composites fabricated by fused deposition modelling by Kumar R.V., Kumar K.R., Soms N.

“…The printer properties, i.e. the Nozzle Temperature and Printing speed, and the processing parameters, i.e. the Layer Thickness and the density of the infill are the most important parameters considered in this study. Mathematical models were developed to predict the strength of the composites as the process parameters were varied. …”
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Mathematical rules for synergistic, additive, and antagonistic effects of multi-drug combinations and their application in research and development of combinatorial drugs and speci... by Shoujun Yuan, Haoyu Chen

“…As such, it is especially important to derive mathematical models for their quantitative calculation. …”
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Biodegradable Food Packaging Materials and Prospects of the Fourth Industrial Revolution for Tomato Fruit and Product Handling by S. M. Chisenga, G. N. Tolesa, T. S. Workneh

“…Principal component analysis (PCA), linear discriminant analysis (LDA), and artificial neutral network (ANN) are some of the common mathematical models for data interpretation of sensor systems.…”
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Bayesian Probabilistic Framework for Damage Identification of Steel Truss Bridges under Joint Uncertainties by Wei Zheng, Yi Yu

“…The former could lead to model uncertainties due to the discrepancy between physical configurations and their mathematical models, while the latter could induce model parameter uncertainties due to difficulty in obtaining accurate model parameters of complex joint details. …”
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Laws of Gas Diffusion in Coal Particles: A Study Based on Experiment and Numerical Simulation by Yongjiang Hao, Xiaofeng Ji, Jiewen Pang

“…Then, according to Fick diffusion law and Darcy percolation law, the mathematical models of methane emission from the spherical coal particles were created, respectively, and the corresponding calculating software was programmed by the finite difference method to obtain the simulated CMDQ of each sample under different conditions. …”
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A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics by Rafael J. Villanueva, Abraham J. Arenas, Gilberto González-Parra

“…Since the total population in this mathematical model is assumed constant, the proposed scheme has been constructed to satisfy the associated conservation law and positivity condition. …”
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Study of a fixed-bed column in the adsorption of an azo dye from an aqueous medium using a chitosan–glutaraldehyde biosorbent by Jaime López-Cervantes, Dalia I Sánchez-Machado, Reyna G Sánchez-Duarte, Ma A Correa-Murrieta

“…The breakthrough curve was analyzed using the Adams–Bohart, Thomas, and bed depth service time mathematical models. The behaviors of the breakthrough curves were defined by the Thomas model at different conditions. …”
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Continuum damage modeling through theoretical and experimental pressure limit formulas by Fatima Majid, Mohamed Elghorba

“…In this paper, we developed a mathematical modeling to represent the damage of thermoplastic pipes. …”
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A Wet-Stock Management and Leak Detection System for Fuel Tanks by Ayşe Nur Dalman, Murat Oluş Özbek

“…This goal is achieved through obtaining the mathematical models for simple cylindrical tank that convert the measured liquid height to accurate liquid volume by taking into account the tank deformations. …”
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Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis by Ning Zhang, Tahir Khan, Haomin Guo, Shaoshuai Shi, Wei Zhong, Weiwei Zhang

“…Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. …”
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Influence of Bottom Ash Replacements as Fine Aggregate on the Property of Cellular Concrete with Various Foam Contents by Patchara Onprom, Krit Chaimoon, Raungrut Cheerarot

“…Nonlinear regression technique was developed to construct the mathematical models for predicting the compressive strength, water absorption, and density of cellular concrete. …”
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Experimental and Numerical Studies on the Vertical Flow of Variable Density Fluid in Different Directions by Zhifang Zhou, Boran Zhang, Qiaona Guo, Shumei Zhu

“…The mathematical models are solved using the implicit difference method. …”
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Blood coagulation dynamics: mathematicalmodeling and stability results by Adélia Sequeira, Rafael F. Santos, Tomáš Bodnár

“…Coagulation is initiated in response to endothelial surface vascular injury or certain biochemical stimuli, by the exposure of plasma to Tissue Factor (TF), that activates platelets and the coagulation cascade, inducing clot formation, growth and lysis.In recent years considerable advances have contributed to understand this highly complex process and some mathematical and numerical models have been developed. However, mathematical models that are both rigorous and comprehensive in terms of meaningful experimental data, are not available yet.In this paper a mathematical model of coagulation and fibrinolysis in flowing blood that integrates biochemical, physiologic and rheological factors, is revisited. …”
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Analytical Analysis of Dynamic Wireless Power Transfer System Controllers for Electric Vehicles: A Review by Aveen Uthman Hassan, Fadhil T. Aula

“…It delves into the mathematical models and analytical techniques that are used to evaluate these controllers, offering a comparative analysis of their performance metrics such as efficiency, power transfer capability, and robustness. …”
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Mathematical and computational modeling for organic and insect frass fertilizer production: A systematic review. by Malontema Katchali, Edward Richard, Henri E Z Tonnang, Chrysantus M Tanga, Dennis Beesigamukama, Kennedy Senagi

“…The results show that mathematical and computational modeling can improve the efficiency and effectiveness of organic fertilizer production, leading to improved agricultural productivity and reduced environmental impact. Mathematical models such as simulation, regression, dynamics, and kinetics have been applied while computational data driven machine learning models such as random forest, support vector machines, gradient boosting, and artificial neural networks have also been applied as well. …”
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SEARCH ALGORITHM FOR THE PARAMETRIC IDENTIFICATION OF THE ELECTRIC DRIVE OF THE MONITORING SYSTEM by A. S. Abufanas, A. A. Lobaty, A. G. Shvedko

“…The problem of parametric identification of a mathematical model of a technical system or a device is considered, which considers the electric drive of a monitoring system installed on an unmanned aerial vehicle. …”
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A Multilayer Feed Forward Small-World Neural Network Controller and Its Application on Electrohydraulic Actuation System by Xiaohu Li, Feng Xu, Jinhua Zhang, Sunan Wang

“…Being difficult to attain the precise mathematical models, traditional control methods such as proportional integral (PI) and proportional integral differentiation (PID) cannot meet the demands for real time and robustness when applied in some nonlinear systems. …”
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Modelling and Simulating the Novel Coronavirus with Implications of Asymptomatic Carriers by Ghassane Benrhmach, Khalil Namir, Jamal Bouyaghroumni

“…In order to end the global COVID‐19 pandemic, public authorities have put in place multiple strategies like testing, contact tracing, and social distancing. Predictive mathematical models for epidemics are fundamental to understand the development of the epidemic and to plan effective control strategies. …”
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Numerical simulation of frozen wall formation in water-saturated rock mass by solving the Darcy-Stefan problem by Mikhail Semin, Lev Levin

“…The proper setting of these parameters is a sine qua non for creating adequate mathematical models of heat and mass processes in the artificially frozen water-saturated rock mass.…”
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