An improved meta-heuristic algorithm to optimize the fractional-order controller for an industrial manipulator with a parallelogram structure by Nazila Nikdel

“…Therefore, this article pursues two main objectives: 1) controlling the robotic system by presenting a method based on fractional-order calculus so that it can control the system despite its complexity and non-linearity, 2) presenting the meta-heuristic algorithm "Improved Grey Wolf" to optimize the system response.Methodology: First, the mathematical model of the robot is presented based on Lagrange rules, and then the fractional-order calculus is used to design the controller. …”
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Dynamic collateral sensitivity profiles highlight opportunities and challenges for optimizing antibiotic treatments. by Jeff Maltas, Anh Huynh, Kevin B Wood

“…Finally, we develop a stochastic mathematical model based on a Markov decision process consistent with observed dynamic collateral profiles to show measurements across time are required to optimally constrain antibiotic resistance.…”
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Physiology-informed regularisation enables training of universal differential equation systems for biological applications. by Max de Rooij, Balázs Erdős, Natal A W van Riel, Shauna D O'Donovan

“…Systems biology tackles the challenge of understanding the high complexity in the internal regulation of homeostasis in the human body through mathematical modelling. These models can aid in the discovery of disease mechanisms and potential drug targets. …”
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RESOURCES AND TECHNOLOGY AS FACTORS AFFECTING RUSSIA’S WOOD INDUSTRY: A CASE STUDY OF THE NORTHERN REGIONS by Maxim A. Shishelov, Vladimir A. Noskov

“…This study proposes a methodological toolkit for assessing the growth factors influencing the efficiency of Russia’s wood industry, employing mathematical modeling and forecasting. The findings reveal and quantify the impact of resource and technological factors on improving efficiency, providing a detailed analysis of their influence on target performance indicators. …”

A linear hydraulic fracture with tortuosity and fluid–slip at the fluid–rock interface by M.R.R. Kgatle-Maseko, T.L. Vetezo

“…A hydraulic fracture with tortuosity and fluid–slip at the fluid–rock interface is replaced by a two-dimensional symmetric model fracture. The mathematical model is formulated using a modified Reynolds flow law and a linear crack law. …”
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Trust Region Policy Learning for Adaptive Drug Infusion with Communication Networks in Hypertensive Patients by Mai The Vu, Seong Han Kim, Ha Le Nhu Ngoc Thanh, Majid Roohi, Tuan Hai Nguyen

“…In previous works where model-based and fuzzy controllers are used to control AABP, model-based controllers rely on the precise mathematical model, while fuzzy controllers entail complexity due to rule sets. …”
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Optimization Research on the Performance of the RC-DTH Air Hammer Based on Computational Fluid Dynamics by Zihao Liu, Yongjiang Luo, Wenchao He, Rui Tao, Jiangfu He, Yongliang Sun, Hongwei Chen, Qianting Hu

“…To optimize the performance of the RC-DTH air hammer, a mathematical model detailing each phase of the piston’s movement has been constructed in the present work. …”
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Research on Constriction Resistance of Drum Gear Coupling of High Speed EMU by Chunjun Chen, Xiang Zheng, Lu Yang, Linchun Zhou

“…In order to research the constriction resistance of the drum gear coupling of high speed EMU traction motor drive system，by using the geometrical analysis method，a mathematical model of the external tooth surface is established according to the structural parameters of the coupling. …”
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A robust multi-objective multi-priodic planning approach to the problem of locating the allocation of organ transplant centers under conditions of uncertainty by Elham Nejati, Mahdi Yousefi Nejad Attari, Asgar Hajibadali

“…On the other hand, due to the rapid growth of the demand for organ transplantation and the lack of resources, the patient's waiting time to complete the transplantation process plays a vital role in the organ transplantation system.Methodology: This study presents a robust bi-objective mathematical model for the location problem of allocating organ transplant centers under uncertainty, which includes the total costs of the organ transplant system as well as the average patient waiting time for organ transplantation, which follows a G/G/m queuing system.Findings: To solve this model, the Non-Dominated Sorting Genetic Algorithm II (NSGA-II) has been used. …”
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Simulation of structured populations in chemically stressed environments by Thomas G. Hallam, Qingping Deng

“…The spatial location of the chemical stressor determines the exposure levels and ultimately the effects on the population while the relative location of the resource and organism determines growth. We develop a mathematical model, the numerical analysis for this model, and the simulation techniques necessary to solve the problem of population dynamics in an environment where heterogeneity is generated by resource and chemical stressor. …”
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The Future of Last-Mile Delivery: Lifecycle Environmental and Economic Impacts of Drone-Truck Parallel Systems by Danwen Bao, Yu Yan, Yuhan Li, Jiajun Chu

“…Specifically, a mathematical model for this delivery system is developed to optimize joint delivery operations. …”
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MHD flow of Williamson nanofluid using effective similarity variable considering viscous dissipation and thermal radiation over a non-linear stretching surface via OHAM by Muhammad Awais Sherani, Muhammad Sohail, Ibrahim Mahariq, Syed Tehseen Abbas

“…The conservation laws of mass, momentum, and energy which are represented as partial differential equations form the foundation of the mathematical model. Using an appropriate similarity transformation, these equations are converted into ordinary differential equations, which can then be resolved numerically OHAM technique. …”
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Prediction of oxygen regime indicators in Danube river by V. L. Bezsonnyi, O. V. Tretyakov, A. N. Nekos, Ye. V. Chistov

“…Statistical, the Streeter-Phelps mathematical model was applied. Results. The study used long-term data from the state monitoring of water resources of the Danube River on indicators of dissolved oxygen (DO) and biochemical oxygen demand (BOD5). …”
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An advanced approach to directly calculate eutectic points in quaternary and higher-order slags: A case study on CaF2–Al2O3–CaO–MgO–SiO2 slag systems by Yi-ming Li, Jia-long Tian, Zhou-hua Jiang

“…By utilizing FactSage thermodynamic data and machine learning (ML), the liquidus temperatures of all slags within this screening range are calculated. A mathematical model incorporating the characteristics of eutectic points was established, converting the graphical position data of slag eutectic points into numerical data. …”
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Hydrodynamic Effects of River-Lake System Connectivity on Ecological Restoration of Urban Rivers: A Case Study of Liede River by WANG Shaobo, ZHANG Shu, XIONG Yulong, ZHOU Xinmin

“…To investigate the hydrodynamic effects of river-lake system connectivity on the ecological restoration of urban rivers supplemented by reclaimed water, a four-tier framework was employed to establish a mathematical model of river-lake hydrodynamics and pollutant transport by using the Liede River as an example. …”
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Optimal configuration strategy of energy storage considering flexible response of high energy-consuming industrial and mining loads in independent microgrid by Cuomu Yixi, Xiaoming Liu, Yu Li, Jingming Tan, Zhihong Liu, Basang Danzeng, Lei Wang

“…Firstly, considering the production process of extracting lithium from salt lakes brine and the electricity consumption characteristics of major energy-consuming equipment, a mathematical model is developed to quantify the flexibility adjustment potential of lithium mining loads under production behavior constraints. …”
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Structural and Economic Approach to the Selection of Peak Regulating Capacities at Thermal Power Plants by E. V. Bohdan, M. B. Karnitski

“…A generalized desirability function has been obtained, which includes a number of parameters for choosing a rational relationship and mutual influence between the reliability and efficiency of electricity production with the participation of thermal power plant equipment in regulating the daily load schedule. The proposed mathematical model is an effective means of analyzing the suitability of equipment for use in the required operating modes.…”
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Two-Echelon Pickup and Delivery Problem Using Public Transport in City Logistics by Shuai Wang, Xiaoning Zhu, Pan Shang, Wenqian Liu, Xiao Lin, Lóránt Tavasszy

“…We formulate a new mathematical model based on a space-time network and adopt an adaptive large neighborhood search (ALNS) algorithm for the 2E-PDP-PT. …”
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Optimal control strategies for toxoplasmosis disease transmission dynamics via harmonic mean-type incident rate by Usman Khan, Farhad Ali, Ohud A. Alqasem, Maysaa E. A. Elwahab, Ilyas Khan, Ariana Abdul Rahimzai

“…The goal of this study is to consider the mathematical model of Toxoplasma disease with harmonic mean type incident rate and also consider that the population of humans and cats is not equal (birth rate and the death rate are not equal). …”
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Single stage auction clearing model for electricity market considering congestion by R.R. Lekshmi, S. Balamurugan

“…The approach involves modelling of the market clearing mechanism as an optimization problem with the aim of maximizing the producer and consumer surplus, meeting the power equilibrium while maintaining the line power flows within the limit. A generalized mathematical model of the problem is formulated in MATLAB Live editor and deployed on an IEEE 5-bus system, while considering two different line limit conditions. …”
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