MODELING AND ANALYSIS OF THE LIMIT BENDING-RADIUS FOR STRAIGHTENING A THIN-WALLED TUBE WITH EQUAL CURVATURE by ZHANG ZiQian, YAN YunHui, YANG HuiLin, WANG Lei

“…The limit bending-radius as the main straightening technical parameter,decides the structure of equipment and the quality of products for straightening thin-walled tubes with equal curvature,however,it is usually carried out based on the experiential data and chart by skilled labourers,whose art is based on long experience and experiments,the special mathematical model of the limit bending-radius is immediately necessary. …”
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Effect of the Boron Powder on Surface AISI W2 Steel: Experiments and Modelling by Marco Antonio Doñu Ruiz, David Sánchez Huitron, Ernesto David Garcia Bustos, Víctor Jorge Cortés Suárez, Noé López Perrusquia

“…The presence of boride was confirmed by optical microscopy, X-ray diffraction, and the distribution of alloy elements in boride layers with energy-dispersive spectrometry using scanning electron microscopy. A mathematical model of the growth kinetics of the single layer was proposed and boron diffusion coefficient was determined by mass balance equation. …”
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Modeling Wettability Variation during Long-Term Water Flooding by Renyi Cao, Changwei Sun, Y. Zee Ma

“…This paper summarizes the mechanism of wettability variation and characterizes the adsorption of polar substance during long-term water flooding from injecting water or aquifer and relates the residual oil saturation and relative permeability to the polar substance adsorbed on clay and pore volumes of flooding water. A mathematical model is presented to simulate the long-term water flooding and the model is validated with experimental results. …”
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Biomechanical Stress and Strain Analysis of Mandibular Human Region from Computed Tomography to Custom Implant Development by Rafael Ferreira Gregolin, Cecília Amelia de Carvalho Zavaglia, Ruís Camargo Tokimatsu, João A. Pereira

“…In addition to creating biomodels by computed tomography it is also possible, using this process, to create mathematical models to perform computer simulations and analyses of regions of interest. …”
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Multi-objective Optimization Design of Wet Friction Clutches by Jiang Kai, Li Hua, Chen Si, Li Shilei, Ren Rongzhi

“…The minimum drag torque and maximum engagement torque are the optimization objectives, the mathematical model of the optimization design is established, and the solution method of the optimization toolbox of Matlab is given. …”
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Event Forecasting in Organizational Networks: A Discrete Dynamical System Approach by Piotr Śliwa

“…Therefore, the objective of this study was (1) to fill the theoretical gap by proposing a mathematical model for organizational network event forecasting, rooted in the social science to remain consistent with the theory, and (2) to experimentally evaluate how the model performs on real data and validate if the results support its use in practical applications. …”
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Research on NC Machining Method of Face Gear in High Speed Milling by Xingzu Ming, Hongyang Wang, Jinwei Shen, Lei Jin, Rui Ming

“…According to the principle of differential geometry and the theory of gear meshing， and with CNC milling machine high speed milling machined face gear as the research object， the mathematical model of straight tooth face gear is established. …”
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Research on adsorption characteristics and adsorption model of CH4 and CO2 in Leping Formation coal seam of Fengcheng Mining Area by Fuqiang XIAO, Yongjun ZOU, Shuanglong ZHANG, Xing QI, Weidong XIAO

“…Nine different adsorption mathematical models were used to fit and analyze the CO2 adsorption experimental data, and the fitting effects of different models were tested. …”
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Metaheuristic Approaches for Hydropower System Scheduling by Ieda G. Hidalgo, Regiane S. de Barros, Jéssica P. T. Fernandes, João Paulo F. Estrócio, Paulo B. Correia

“…The individuality of the generating units and the nonlinearity of their efficiency curves are taken into account. The mathematical model is formulated as a dynamic, mixed integer, nonlinear, nonconvex, combinatorial, and multiobjective optimization problem. …”
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Geometric design of two novel rotor profiles for Roots vacuum pumps with elliptical curve by Zhengqing Li, Xiaojun Wang, Xianhu Han, Yuhong Cai

“…This study proposes two novel elliptical rotor profiles: one designed with an elliptical curve at the top and the other with an elliptical curve at the waist. Mathematical models of the new rotor profiles were established, and profile equations were derived on a geometric method. …”
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Regulation Mechanism of Spatial Capacity of Tourist Resources in Scenic Spots Based on Internet of Things Technology by Xiaona Xie, Wenliang Zhang

“…This paper first calculates the spatial capacity of various tourism resources in a scenic spot by using mathematical model and then studies the intelligent spatial management model of tourist flow in the scenic spot based on the Internet of Things technology. …”
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Modelling and Testing the Dynamic Properties of a Launcher with Unguided Missiles by Zbigniew J. DZIOPA, Maciej NYCKOWSKI

“…Based on the results of empirical research, a physical and mathematical model of the motion was formulated for both the ZSMU-70 module as well as the WW-4 launcher. …”
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Modeling of Nitrate Leaching during the Fall–Winter Season in Artificially Drained Soils by Alaa El-Sadek

“…In this study, the transport and fate of nitrate within the soil profile were analyzed by comparing field data with the simulation results of a mathematical model. The objective was to study the transport and fate of nitrate within the soil profile and nitrate leaching to shallow groundwater for the fall-winter season, by applying the methodology in Elverdinge experiment, situated in the sandy loam region in Belgium, from October 1, 2000 to March 31, 2001. …”
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Optimal Control of a Spatio-Temporal Model for Malaria: Synergy Treatment and Prevention by Malicki Zorom, Pascal Zongo, Bruno Barbier, Blaise Somé

“…We used the theory of optimal control and applied a mathematical model for three connected patches. From previous studies with the same data, two patches were identified as reservoirs of malaria infection, namely, the patches that sustain malaria epidemic in the other patches. …”
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Competitive Relief Supply Chain under the Uncertain Conditions by Amirabbass Boroumand, Majid Nojavan, Davood Mohammaditabar, Reza Ghaemi

“…Accordingly, in this research, a mathematical model with a leader-follower approach for relief delivery in the crisis response phase was designed, which took into account the policies of the country of Iran for the distribution of relief items. …”
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The dynamics and longevity of circulating CD4+ memory T cells depend on cell age and not the chronological age of the host. by M Elise Bullock, Thea Hogan, Cayman Williams, Sinead Morris, Maria Nowicka, Minahil Sharjeel, Christiaan van Dorp, Andrew J Yates, Benedict Seddon

“…Here, we address these issues by combining DNA labelling methods, established fate-mapping systems, a novel reporter mouse strain, and mathematical models. Together, these allow us to quantify the dynamics of both young and established circulating memory CD4 T cell subsets, within both young and old mice. …”
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Heat Transfer Analysis on the Hiemenz Flow of a Non-Newtonian Fluid: A Homotopy Method Solution by Yasir Khan, Zdeněk Šmarda

“…The mathematical model for the incompressible two-dimensional/axisymmetric non-Newtonian fluid flows and heat transfer analysis in the region of stagnation point over a stretching/shrinking sheet and axisymmetric shrinking sheet is presented. …”
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Fixed-Time Sliding Mode Control for Robotic Manipulators Based on Disturbance Observer by Tianli Li, Gang Zhang, Tan Zhang, Jing Pan

“…A novel controller using fixed-time sliding mode (FTSM) and fixed-time disturbance observer (FTDO) is proposed to achieve trajectory tracking control of robotic manipulators. First, the mathematical model is established for robots with dynamic model uncertainties and external disturbances. …”
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The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid by S. M. Khaled, Abdelhalim Ebaid, Fahd Al Mutairi

“…The problem of the peristaltic flow of a nanofluid under the effect of an endoscope is reinvestigated. The mathematical model is governed by a system of linear and nonlinear partial differential equations with prescribed boundary conditions. …”
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Modelling Moisture Sorption Isotherms of Superabsorbent Polymer Fabric for Desiccant Drying of Crops by Peter Kang’ethe Kimani, Ayub Njoroge Gitau, Duncan Onyango Mbuge, Januarius Ondiek Agullo

“…Using symbolic regression and nonlinear regression in R software, four mathematical models were obtained. R software codes were assembled for the analysis of sorption isotherm models. …”
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