Dynamic Reactive Power Optimization Strategy for AC/DC Hybrid Power Grid Considering Different Wind Power Penetration Levels by Nan Feng, Yuyao Feng, Yun Su, Yajun Zhang, Tao Niu

“…Firstly, a detailed mathematical model of the AC/DC hybrid system is established. …”
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Research on reconfigurable service carrying network active protection algorithms by Ning QI, Bin-qiang WANG, Zhi-ming WANG

“…To construct reconfigurable service carrying network (RSCN) in reconfigurable flexible network (RFNet) infrastructure could provide traffic specific communication services for different end users.This could effectively solve the puzzle faced by traditional Internet infrastructure.Because of the blight of network failure,active protection problems of RSCN were discussed.Mathematics model of RSCN active protection issues were established.To avoid enormous influence because of important resource failure,a resource stress factor (RSF) awareness main link construction algorithm named RSF-aware MLCA was proposed.To improve success running ratio and reduce network link failure loss of RSCN,a RSCN protection link construction algorithm named RPLCA was implemented.Considering of the two sub-algorithms,RSCN active protection algorithm named RAPA was designed.The efficiency of algorithms was evaluated by emulation experiments according to RSCN success running ratio and main link utilization ratio and average network link failure loss under several scenarios.…”
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The impact of an imperfect vaccine and pap cytologyscreening on the transmission of human papillomavirus and occurrenceof associated cervical dysplasia and cancer by Tufail Malik, Jody Reimer, Abba Gumel, Elamin H. Elbasha, Salaheddin Mahmud

“…A mathematical model for the natural history of human papillomavirus(HPV) is designed and used to assess the impact of a hypotheticalanti-HPV vaccine and Pap cytology screening on the transmissiondynamics of HPV in a population. …”
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Wheel and Shoe Composite Stair Climbing Wheelchairs and Dynamic Analysis of Wheel Shoe Switching by Zhu Hua, Ge Haiwen

“…In response to the current issues of wheel and shoe composite ladder wheelchairs, such as tire interference with the track, and collision between the wheelchair and the top platform during ladder climbing, a wheel shoe composite stair climbing wheelchair with a swing arm track chassis as the stair climbing mechanism and a new wheel shoe switching scheme is designed. Its mathematical model is established, the centroid coordinates, the vertical displacement curve of the center of mass for climbing stairs are analyzed, and the dynamic change curve of the swing arm motor and electric push rod during the four stages of wheel shoe switching are obtained. …”
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Research on the spatial state and electrical distance variation of overhead transmission lines with changes in foundation by Shuai Wang, Xiaokai Meng, Siqing Xu, Zhumao Lu, Yang Bai

“…These factors include the degree of tower sinking, the elasticity and tension of the overhead lines, the positions and heights of adjacent towers, wind force, temperature, and other environmental elements. A mathematical model was developed to describe the positional changes of overhead lines following tower sinkage, and formulas were used to calculate the new suspension point positions and electrical distance variations of the wires. …”
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A new efficient genetic algorithm-Taguchi-based approach for multi-period inventory routing problem by Amin Farahbakhsh, Amir Saman Kheirkhah

“…In this paper, we present a mathematical model and a novel genetic algorithm for solving the multi-period inventory routing problem. …”
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Structural Design and Kinematic Analysis of a 10-DOF Exoskeleton Rehabilitation Robot by Guoqiang Ge, Weifeng Zhang, Jinghan Li, Hui Wang

“…Simulation research shows that the structural design scheme and mathematical model of the exoskeleton rehabilitation robot are feasible and correct.…”
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Sleeve gastrectomy reveals the plasticity of the human gastric epithelium by Amit Elad, Botros Moalem, Dana Sender, Aya Bardugo, Ki-Suk Kim, Yhara Arad, Haya Benhayon, Ayelet Gal Etzyoni, Nehemia Greenstein, Aviv Halfon, Sarah Knapp, Michelle Malis, Bailey Peck, Itia Samuel, Amram Kupietzky, Saleh Daher, Esther Forkosh, David Hakimian, Tiberiu Hershcovici, Nadav Ilani, Lior Katz, Moshe Rottenstreich, Elez Vainer, Yuval Ishay, Eitan Zlotnick, Abed Nasereddin, Idid Shiff, Ariel Benson, Ronit Grinbaum, Siddhartha Mishra, Shlomi Kotler, Linda C. Samuelson, Darleen A. Sandoval, Rachel Ben-Haroush Schyr, Danny Ben-Zvi

“…ECLs of SG-operated patients overexpressed genes coding for biosynthesis of neuropeptides and serotonin. Mathematical modeling showed that pH homeostasis by gastrin is analogous to non-linear proportional and integral control, that drives adaptation of the epithelium to acid-secretion demand. …”
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Modeling Drug Concentration Level in Blood Using Fractional Differential Equation Based on Psi-Caputo Derivative by Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abu Asbeh, Noureddine Ghiloufi

“…This article studies a pharmacokinetics problem, which is the mathematical modeling of a drug concentration variation in human blood, starting from the injection time. …”
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Optimal Control Strategies for Dengue and Malaria Co-Infection Disease Model by Muhammad Imran, Brett Allen McKinney, Azhar Iqbal Kashif Butt, Pasquale Palumbo, Saira Batool, Hassan Aftab

“…In this manuscript, we analyze a mathematical model that addresses the dynamics of dengue–malaria co-infection and propose optimal control strategies across four different scenarios to limit the spread of the disease. …”
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Feedback Control of Injection Rate of the Injection Molding Machine Based on PID Improved by Unsaturated Integral by An Yang, Weigang Guo, Tianlong Han, Congrong Zhao, Hongwei Zhou, Jianping Cai

“…Then, the improved PID was applied to the injection speed control of an injection molding machine, which is usually controlled using conventional PID control that featured difficulty in mathematical modeling, a nonlinear relationship between the input and the output, and high system complexity. …”
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Dynamics of systems with varying number of particles: from Liouville equations to general master equations for open systems by Mauricio J. del Razo, Luigi Delle Site

“…A varying number of particles is one of the most relevant characteristics of systems of interest in nature and technology, ranging from the exchange of energy and matter with the surrounding environment to the change of particle number through internal dynamics such as reactions. The physico-mathematical modeling of these systems is extremely challenging, with the major difficulty being the time dependence of the number of degrees of freedom and the additional constraint that the increment or reduction of the number and species of particles must not violate basic physical laws. …”
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Feeding System’s Sensitivity and Reliability Analysis through Markov Decision Process by Sujata Jadhav, Amit Kumar

“…In the present study Markov process is utilized to develop a mathematical model of the Feeding system, which is used to evaluate the system’s reliability parameters. …”
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An Improved Grasshopper Optimizer for Global Tasks by Hanfeng Zhou, Zewei Ding, Hongxin Peng, Zitao Tang, Guoxi Liang, Huiling Chen, Chao Ma, Mingjing Wang

“…The grasshopper optimization algorithm (GOA) is a metaheuristic algorithm that mathematically models and simulates the behavior of the grasshopper swarm. …”
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Investigation of Nonlinear Vibrational Analysis of Circular Sector Oscillator by Using Cascade Learning by Naveed Ahmad Khan, Muhammad Sulaiman, Jamel Seidu, Fahad Sameer Alshammari

“…Nonlinear differential equations govern the mathematical model for frequency oscillation of the system. …”
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Research on Modification Method of Internal Gearing Power Honing based on Flexible Dressing of Honing Wheel by Lian Xia, Qing Wang, Jiang Han, Xiaoqing Tian

“…Firstly，the tooth surface mathematical model of dressing and honing is established according to the motion relationship of each axis of gear honing machine. …”
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Prey – predator model on the interaction between the drawdown level of an aquifer and maize yield by MD Shehu, OP Evans, AT Cole

“…In this paper we formulated a mathematical model to analyse the interaction between the Draw-down levels in an unconfined aquifer with maize yield, using the parameters; aquifer recharged rate α, rate of interaction between the draw down level of the aquifer and the maize yield β, draw down level of the aquifer h, and the maize yield y. …”
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CREEP RELIABILITY ANALYSIS OF TURBINE BLISK BASED ON DUAL RESPONSE SURFACE METHOD by ZHANG ChunYi, WANG AiHua, SUN Tian, JING HuiZhe, LI ChengWei

“…By constructing the finite element model of the blisk and the thermal-structural coupling analysis method, the stress and strain of turbine blisk were obtained. The mathematical model of dual response surface for stress and strain of turbine blisk was established by using the Latin hypercube small sampling technique. …”
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High-resolution mapping of cell cycle dynamics during steady-state T cell development and regeneration in vivo by Heike Kunze-Schumacher, Nikita A. Verheyden, Zoe Grewers, Michael Meyer-Hermann, Victor Greiff, Philippe A. Robert, Andreas Krueger

“…We developed an agent-based mathematical model of T cell developmental dynamics. To generate the capacity for proliferative bursts, cell cycle acceleration followed a “stretch model” characterized by the simultaneous and proportional contraction of both G1 and S phases. …”
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Global dynamics of a simple model for wild and sterile mosquitoes by Yu Ichida, Yukihiko Nakata

“…Even if a two-dimensional system of ordinary differential equations is considered as a simple mathematical model for developing release strategies, fully understanding the global behavior of the solutions is challenging, due to the fact that the probability of mating is ratio-dependent. …”
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