Optimal Dynamics Control in Trajectory Tracking of Industrial Robots Based on Adaptive Gaussian Pseudo-Spectral Algorithm by Jing Zhang, Xiaokai Zhu, Te Chen, Guowei Dou

“…A pseudo-spectral control algorithm based on adaptive Gauss collocation point reconstruction is proposed to efficiently solve the optimal dynamics control problem of industrial robots. A mathematical model for the kinematic relationship and dynamic optimization control of industrial robots has been established. …”
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Towards Analysis and Optimization of Electrospun PVP (Polyvinylpyrrolidone) Nanofibers by Utkarsh, Hussien Hegab, Muhammad Tariq, Nabeel Ahmed Syed, Ghaus Rizvi, Remon Pop-Iliev

“…Furthermore, a mathematical model was generated using response surface methodology (RSM) to model the electrospinning process. …”
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An Investigation on Gas Lift Performance Curve in an Oil-Producing Well by Deni Saepudin, Edy Soewono, Kuntjoro Adji Sidarto, Agus Yodi Gunawan, Septoratno Siregar, Pudjo Sukarno

“…In this paper, we discuss a mathematical model for gas lift technique and the characteristics of the GLPC for a production well, for which one phase (liquid) is flowing in the reservoir, and two phases (liquid and gas) in the tubing. …”
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Segment search for local extremums of images based on the analysis of brightness of adjacent homogeneous areas by V. Yu. Tsviatkou, Anh Tuan Nguyen

“…Morphological search algorithms provide the selection of non-strict extremes, but have a high computational complexity. A mathematical model and an algorithm based on the brightness analysis of adjacent homogeneous regions are proposed to isolate strict and non-strict local extremes of images with low computational complexity. …”
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Progressive Multifocal Liquid Lenses Based on Asymmetric Freeform Surface Structure of Nonuniform Thickness Elastic Membranes with Different Constraints by Weiliang Jia, Biao Zhang, Songjing Li

“…The structure and mathematical model of power distribution for the lens are introduced. …”
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Flight Stability of Canard-Guided Dual-Spin Projectiles with Angular Rate Loops by Qiushi Zheng, Zhiming Zhou

“…Firstly, the concept of the dual-spin projectile is introduced. Secondly, the mathematical model of the dual-spin projectile is established, and the angular motion equation is finally obtained by using some linearized assumptions. …”
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An Analysis of Infiltration in Furrow Irrigation Channels With Root Water Uptake by Suma Inna, Muhammad Manaqib, Vika Dwi Samudra, Ruly Erhandi

“…This study discusses infiltration in six irrigation channel types with root water uptake in four types of roots. The mathematical model for the infiltration problem is the Richards equation. …”
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Modeling and prediction of HIV in China: transmission rates structured by infection ages by Yicang Zhou, Yiming Shao, Yuhua Ruan, Jianqing Xu, Zhien Ma, Changlin Mei, Jianhong Wu

“…Here we develop a generalframework of mathematical modeling that takes into account this heterogeneityof transmission rate and permits rigorous estimation of important parametersusing a regression analysis of the twenty-year reported HIV infection data inChina. …”
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A hybrid fractional model for cervical cancer due to human papillomavirus infection by Ali Akgül, Nauman Ahmed, Sadiya Ali Rano, Qasem Al-Mdallal

“…In this work, a hybrid fractional order mathematical model of cervical cancer with modified parameters is studied. …”
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Theoretical studies of the steering hydraulic system of construction and road machines with flow amplifiers by A. V. Zhdanov

“…The design, the principle of operation are described, the main calculated dependencies are presented, on the basis of which mathematical modeling was carried out. To evaluate the qualitative and quantitative characteristics of the amplifiers, graphs of transient processes in the steering hydraulic system, as well as the static characteristics of the flow amplifiers, were obtained. …”
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Research on the Overtopping-Induced Breaching Mechanism of Tailings Dam and Its Numerical Simulation by Zhao Deng, Shiqiang Wu, Ziwu Fan, Zhikun Yan, Jingxiu Wu

“…Based on the centrifugal test results, considering the special physical and mechanical properties of tailings, a mathematical model for tailings dam breaching is established. …”
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Pricing of American Carbon Emission Derivatives and Numerical Method under the Mixed Fractional Brownian Motion by Yuling Wang, Jing Wang

“…In conclusion, since mfBm is a well-developed mathematical model of strongly correlated stochastic processes, this model will be an efficient model for pricing carbon financial derivative.…”
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3D limit analysis of masonry pavilion domes on octagonal drum subjected to vertical loads by Carlalberto Anselmi, Filomena Galizia, Eduardo Saetta

“…By using the static theorem applied to the dome discretized in rigid macro-blocks of variable shape aligned along parallels and meridians, a mathematical model have been constructed in order to search for the load collapse multiplier, and thus to evaluate the degree of structural safety. …”
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Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation by Rami Raad Saadi, Hassan F. Al-Husseiny

“… In this work, we formulate a mathematical model of the killer COVID-19 pandemic with time delay and some governmental measures that include vaccine subsidies to understand the dynamic behavior of COVID-19. …”
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Complexity Analysis of a Mixed Memristive Chaotic Circuit by Xiaolin Ye, Jun Mou, Chunfeng Luo, Feifei Yang, Yinghong Cao

“…In this paper, we design a chaotic circuit with memristors, which consists of two flux-controlled memristors and a charge-controlled memristor, and the dimensionless mathematical model of the circuit was established. Using the conventional dynamic analysis methods, the equilibrium point set and stability of the chaotic system were analyzed, and the distribution of stable and unstable regions corresponding to the memristor initial states was determined. …”
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Optimal Feedback Control of Cancer Chemotherapy Using Hamilton–Jacobi–Bellman Equation by Yong Dam Jeong, Kwang Su Kim, Yunil Roh, Sooyoun Choi, Shingo Iwami, Il Hyo Jung

“…For this, we first propose a mathematical model of tumor-immune interactions and conduct stability analysis of two equilibria. …”
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Simulation of clinical trials of oral treprostinil in pulmonary arterial hypertension using a virtual population by Andrew E. Stine, Jignesh Parmar, Amy K. Smith, Zachary Cummins, Narasimha Rao Pillalamarri, R. Joseph Bender

“…Abstract Challenges in drug development for rare diseases such as pulmonary arterial hypertension can be addressed through the use of mathematical modeling. In this study, a quantitative systems pharmacology model of pulmonary arterial hypertension pathophysiology and pharmacology was used to predict changes in pulmonary vascular resistance and six-minute walk distance in the context of oral treprostinil clinical studies. …”
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Rich Dynamics of a Predator-Prey System with Different Kinds of Functional Responses by Kankan Sarkar, Subhas Khajanchi, Prakash Chandra Mali, Juan J. Nieto

“…In this study, we investigate a mathematical model that describes the interactive dynamics of a predator-prey system with different kinds of response function. …”
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The analysis of energy efficiency of LNG filling pipeline from choice of thermal insulation structure by A. M. Andreev, A. Yu. Baranov, E. V. Sokolova, T. A. Malysheva, L. V. Ivanov

“…The article presents the numerical analysis of the energy efficiency for one of the stages of large-scale LNG production, namely, the LNG delivery from a storage tank to a LNG carrier vessel via a cryogenic pipeline. The mathematical model of the thermal enclosure of the pipeline has been considered, and the production cryoproduct losses due to thermal inertia of pipeline materials have been estimated. …”
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Modeling MAC Protocol Based on Frame Slotted Aloha for Low Energy Critical Infrastructure Sensor Networks by Niamat Ullah, Kifayat Ullah, S. M. Riazul Islam, Pervaiz Khan, Sana Ullah, Kyung Sup Kwak

“…As the packet drop probability plays crucial role in LECIM applications, we propose framed slotted aloha based MAC for LECIM using linearly increased contention window size to reduce the packet drop probability. We present a mathematical model of our proposed MAC under both saturated and nonsaturated traffic scenarios. …”
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