In Vitro Evaluation of the Cytotoxic Potential of Environmental Contaminant Mixtures Present in Water for Human Use by Israa J. Hakeem, Ngiste Amare

“…On the other hand, we have been able to show that the quantitative estimate of the anticipated cellular responses generally does not adjust precisely to the observed effect through the analysis of the prediction of the combined effect using mathematical models. However, once the individual compounds’ respective mechanisms of action have been established, the toxicity caused by the mixtures can be qualitatively predicted.…”
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Management of Energy Exchange Process on Metro Rolling Stock with On-Board Capacitive Energy Storage by Sulym A.O., Khozia P.O., Fomin O.V., Bahrov O.M.

“…The first task is to create a mathematical model and to define the requirements to control system for energy exchange processes currently being developed for metro rolling stock with capacitive energy storage devices. …”
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Co-optimization of Demand Response Aggregators and distribution system operator for resilient operation using machine learning based wind generation forecasting: A bilevel approach by Farid Hamzeh Aghdam, Aleksandr Zavodovski, Adeleye Adetunji, Mehdi Rasti, Eva Pongracz, Mohammad Sadegh Javadi, João P.S. Catalão

“…To solve the bilevel problem, we employ a Mathematical Program with Equilibrium Constraints (MPEC), transforming the bilevel model into a single-level problem by utilizing the Karush–Kuhn–Tucker (KKT) conditions. …”
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Teaching a neural network modeling socio-economic development of the region by S. V. Romanchukov, O. G. Berestneva, L. A. Petrova

“…Under these conditions, the expansion of the mathematical apparatus and the more active introduction of information technologies (including in the area of Big Data analysis and the construction of predictive models based on artificial neural networks) can be viable. …”
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Modeling and Vibration Analysis of a 3-UPU Parallel Vibration Isolation Platform with Linear Motors Based on MS-DT-TMM by Wei Chen, Jiaqi Tong, Hehe Yang, Fulong Liu, Zhen Qin, Zhiyong Ren

“…Firstly, the dynamical mathematical model of this vibration isolator is innovatively established and solved by using the discrete-time transfer matrix method of the multibody system (MS-DT-TMM). …”
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Dé-finir le langage dans The Names de Don DeLillo by Karim Daanoune

“…This lethal equation rests on an implacable and absurd mathematical formula where letters have superseded numbers. …”
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A novel method for developing post-quantum cryptoschemes and a practical signature algorithm by Nikolay Andreevich Moldovyan, Dmitriy Nikolaevich Moldovyan

“…The same powers and the same scalar values are used to compute the first and the second public keys by the same mathematic formulas. Due to such design, the said generators are kept in secret, providing resistance to quantum attacks. …”
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Integrating PCA and DEA techniques for strategic assessment of network security by Reza Rasinojehdehi, Seyyed Najafi

“…This paper introduces a novel approach to evaluating computer network security using Data Envelopment Analysis (DEA), a mathematical method designed to measure the performance of Decision-Making Units (DMUs) employing identical inputs to yield identical outputs. …”
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Time to Consensus in International Negotiations by I. Z. Aronov, O. V. Maksimova

“…This highlights the importance of examining the factors that influence the time needed to reach consensus. Utilizing formal mathematical modeling based on a modified DeGroot model, this article explores how variables such as the size of the negotiating group, the level of authoritativeness, dominance dynamics within the group, and coalition formation affect the time required to achieve consensus. …”
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Enhanced Oil Recovery by Cyclic Injection of Wettability Alteration Agent for Tight Reservoirs by Zhijie Wei, Yuyang Liu, Xiaodong Kang

“…A discrete-fracture-network-based mathematical model is developed with consideration of the displacement mechanisms and complicated physical-chemical phenomena during EOR by wettability alteration, and this model numerically solved by the fully implicit method. …”
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Analytical Analysis of the Mechanism and Mitigation Methods of Transient Overvoltage in Direct-Drive Wind Turbine Generators Connected to Weak Power System by Xu Tian, Shengtao Wu, Luran Wei, Lixin Zhang, Nan Wang, Quan Zheng

“…Addressing this issue, this paper establishes a mathematical model for the grid-connected system of direct-drive wind turbine generators. …”
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The boost of force in unfused tetanic contractions at variable interpulse intervals in fast motor units of the rat medial gastrocnemius by K. Kryściak, J. Celichowski, R. Raikova, H. Drzymała-Celichowska

“…We show that boost occurred in the first tetanic contraction of each set for stimulation at both constant and variable IPIs in two fast types of motor units; additionally, it was present in different IPIs variability for a given range. Mathematical decomposition of first (sagging) and second (non-sagging) tetanic contractions into twitch-like responses to successive stimuli in the tested IPIs variability showed that the changes underlying boost are pattern independent. …”
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Multiobjective Optimization Design and Experimental Study of Desulfurization Dust Removal Centrifugal Pump Based on Immune Particle Swarm Algorithm by Yuqin Wang, Xinwang Huo, Hailong Ji

“…The velocity coefficient method was used for hydraulic design of centrifugal pump, and the three-dimensional modeling and numerical simulation of flow field of centrifugal pump were carried out by using computational fluid dynamics technology (CFD). The optimal mathematical model with the highest efficiency and the lowest pump net positive suction head NPSHr as the objective function was established under the condition of no curve hump. …”
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Characterizations and growth kinetics of the borided layer formed on pure nickel by molten salt electrolysis by Wang B.-X., Yuan W.-L., Wang Z.-Y., Li J.-X., Ma H.-Z., Song Y.-H.

“…Borided layer growth kinetics was studied by analyzing the relationship between thickness of the borided layer and time by mathematical method. Then the diffusion coefficient constant of boron atom in nickel at 1193 K, 1223 K and 1243 K was calculated accordingly and an equation was obtained to estimate the thickness of the borided layer.…”
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Method of calculation of geometrical parameters of building atrium structures considering the comfort of temperature and air regime by Pham Thi Hong Tham, De Tai Duong, A. K. Solovyev

“…Based on this, the aim of the research is to develop a new method of calculating the optimal geometric parameters of a building atrium considering the comfort of its temperature-air regime by solving the developed basic airflow equations in combination with mathematical modelling methods. The formula for determining the air flow rate for natural ventilation in atriums, analyzing and designing a natural ventilation system in a building with an atrium with more than two ventilation outlets was derived. …”
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PREDICTING THE LEARNING PATH TO LEARNER’S OPTIMUM COMPREHENSION by Ifeanyi Isaiah Achi, Chukwuemeka Odi Agwu, Christopher Chizoba Nnamene, Sylvester C. Aniobi, Ifebude Barnabas C., Kelechi Christian Oketa, Godson Kenechukwu Ezeh, John Otozi Ugah

“…Hence, this research paper focuses on deriving an improved mathematical model for predicting the learning path to a learner’s optimum comprehension. …”
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Factors Controlling the Hydraulic Fracture Trajectory in Unconventional Reservoirs by Peng Zheng, Erhu Liu, Desheng Zhou, Xinwei Du, Zhongjun Ma

“…Based on the boundary element method, we established a mathematical model to study the factors controlling the morphology of hydraulic fracture. …”
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Exergoeconomic analysis and optimization of wind power hybrid energy storage system by Caifeng Wen, Yalin Lyu, Qian Du, Boxin Zhang, Xuhui Lian, Qiang Wang, Hongliang Hao

“…In this paper, the operation characteristics of the system are related to the energy quality, and the operation strategy of the wind power hybrid energy storage system is proposed based on the exergoeconomics. First, the mathematical model of wind power hybrid energy storage system is established based on exergoeconomics. …”
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Remote Facial Expression and Heart Rate Measurements to Assess Human Reactions in Glass Structures by Chiara Bedon, Silvana Mattei

“…In engineering applications, human comfort fulfillment is challenging because it depends on several aspects that can be mathematically controlled and optimized, like in case of structural, energy, or thermal issues, and others. …”
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Patient-specific spine digital twins: a computational characterization of the idiopathic scoliosis by David Landinez, Carlos Francisco Rodríguez, Christian Cifuentes - De la Portilla

“…Methods: A three-dimensional computational model of the spine was developed, where patient-specific curves were generated by modifying intervertebral disc mechanical properties via a mathematical model derived from radiological data. Validation of the model was performed by comparing the resultant scoliotic curves with patient radiological images. …”
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