Evaluation of the extraction of antioxidant compounds from buriti pulp (Mauritia flexuosa L.) by response surface methodology by Gabriela Mota Nogueira, Flávia Aparecida Reitz Cardoso, Márcia Regina Ferreira Geraldo Perdoncini, Marcos Vieira da Silva, Eliane Sloboda Rigobello

“…Data modeling generated statistically significant mathematical models and contour graphs, which allowed the identification of the optimal extraction conditions for the compounds. …”
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Stratifications and foliations in phase portraits of gene network models by V. P. Golubyatnikov, A. A. Akinshin, N. B. Ayupova, L. S. Minushkina

“…In the preparation of numerical experiments with such mathematical models, it is useful to start with studies of qualitative behavior of ensembles of trajectories of the corresponding dynamical systems, in particular, to estimate the highest likelihood domain of the initial data, to solve inverse problems of parameter identification, to list the equilibrium points and their characteristics, to localize cycles in the phase portraits, to construct stratification of the phase portraits to subdomains with different qualities of trajectory behavior, etc. …”
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From the guest editors by Gerardo Chowell, Zhilan Feng, Baojun Song

“…Specifically, he co-authored a textbook in Mathematical Biology in 2001 (second edition in 2012); a volume (with Harvey Thomas Banks) on the use of mathematical models in homeland security published in SIAM's Frontiers in Applied Mathematics Series (2003); and co-edited volumes in the Series Contemporary Mathematics entitled ``Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges'' (American Mathematical Society, 2006) and Mathematical and Statistical Estimation Approaches in Epidemiology (Springer-Verlag, 2009) highlighting his interests in the applications of mathematics in emerging and re-emerging diseases. …”
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Regularities of the Development of Coastal Processes on Water Reservoirs of Hydroelectric Power Plants of Belarus by V. E. Levkevich

“…On the basis of the law of conservation of mass and taking into account hydrological features of reservoirs, geological structure of relief and granulometric composition of soils forming the bank, balance mathematical models of development of the equilibrium coastline and the profile of the dynamic equilibrium of the banks that are subjected to processing are developed, criteria for the stability of slopes have been obtained.…”
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TEACHING OF INTERPOLATION AND APPROXIMATION CURVES THROUGH COMPUTER SIMULATION by Norbert Annuš, Ondrej Takáč

“…This paper describes the mathematical models describing the processed curves. It then presents the application's options and graphical results. …”
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Evaluation and Design of Power Controller of Two-Axis Solar Tracking by PID and FL for a Photovoltaic Module by Joel J. Ontiveros, Carlos D. Ávalos, Faustino Loza, Néstor D. Galán, Guillermo J. Rubio

“…To achieve this, mathematical models of the dynamics of the sun, the solar energy obtained on the Earth’s surface, the two-axis tracking system in its electrical and mechanical parts, and the solar cell are developed and simulated. …”
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Geographical Peer Matching for P2P Energy Sharing by Romaric Duvignau, Vincenzo Gulisano, Marina Papatriantafilou, Ralf Klasing

“…We define and analyze in this work a precise mathematical modeling of the geographical peer matching problem, and demonstrate the inherent intractability of the problem, highlighting its high computational cost and underscoring the critical need for scalable approaches that effectively balance performance trade-offs as system size grows. …”
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EFFECT SIGNIFICANCE ASSESSMENT OF THE THERMODYNAMICAL FACTORS ON THE SOLID OXIDE FUEL CELL OPERATION by V. A. Sednin, A. A. Chichko

“…These are the parameters to be considered on a first-priority basis while developing mathematical models for optimizing the solid oxide fuel cells operating modes.…”
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Problematic Issues of Calculating the Size of Damage from the Use of Land Plots for Other Purposes within the Practice of Law Enforcement Agencies by I. V. Bryhadyr, I. V. Panova

“…The foundations of the research methodology constitute: comparative and legal method, which assisted to study the requirements of EU and Ukrainian legislative acts; the method of systematic analysis, which allowed to reveal the legal mechanisms for calculating the amount of damage caused to the state and territorial communities from the use of land plots for other purposes; method of mathematical modeling, which allowed to form propositions for improving the formula of calculating the damage caused by the misuse of land plots. …”
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An Algorithm for Optimal Allocation of Water Resources in Receiving Areas Based on Adaptive Decreasing Inertia Weights by Fei Li, Guang Zhang, Shaohua Hu

“…This paper firstly selects the minimum loss of water resources allocation as the objective function for mathematical modelling, chooses the particle swarm algorithm as the objective algorithm, and proposes a particle swarm algorithm based on the standard particle swarm algorithm with improved adaptive decreasing inertia weights. …”
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Improvement of the Method of Calculation of Steady-State Modes of Urban Electric Networks Taking into Account Consumer Energy Sources by M. I. Fursanov, A. A. Zalotoy

“…Active elements of networks are power sources (transformer inputs of low voltage of feeding substations and distributed small generation sources) and loads, mathematical models of which can be various. Power sources in urban distribution networks of 10 kV and below are classified by type and power and can be of two kinds, viz. power feeding centers of the network and small generation sources. …”
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Integrating Model‐Informed Drug Development With AI: A Synergistic Approach to Accelerating Pharmaceutical Innovation by Karthik Raman, Rukmini Kumar, Cynthia J. Musante, Subha Madhavan

“…Model‐Informed Drug Development (MIDD) uses mathematical models to simulate intricate processes involved in drug absorption, distribution, metabolism, and excretion, as well as pharmacokinetics and pharmacodynamics. …”
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Biomechanics of Heading a Soccer Ball: Implications for Player Safety by Charles F. Babbs

“…To better understand the risk and safety of heading a soccer ball, the author created a set of simple mathematical models based upon Newton�s second law of motion to describe the physics of heading. …”
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Estimation of Blood Pressure by Image-Free, Wearable Ultrasound by Ana Belen Amado Rey

“…., from the aorta to the radial artery), we applied mathematical models and algorithms, specific to the site of measurement, to accurately extract BP. …”
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Mine Geological Environment Monitoring and Risk Assessment in Arid and Semiarid Areas by Jiaqi Jin, Chicheng Yan, Yixuan Tang, Yilong Yin

“…Based on the above background, this thesis takes the coal mining area in the arid and semiarid regions as an example; applies the theories of ecology, coal mining subsidence, geodesy, and ecological restoration; uses remote sensing in synthetic aperture radar (SAR), geographic information system (GIS), and mathematical modelling to reveal the ecological evolution law of the mining area; measures the ecological damage of the mining area; and then proposes a reasonable ecological restoration strategy. …”
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Application of the AHP and PROMETHEE II individual decision-making methods and the Condorcet group decision-making method in the Selection of a multipurpose armored wheeled combat... by Miša D. Živković, Darko I. Božanić, Milija M. Suknović, Boris V. Delibašić

“…The choice of a multi-purpose wheeled armored combat vehicle is a complex process influenced by numerous factors that cannot be analyzed objectively without the application of adequate mathematical models.…”
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Fleet Management for HDVs and CAVs on Highway in Dense Fog Environment by Bowen Gong, Ruixin Wei, Dayong Wu, Ciyun Lin

“…As to improve the traffic flow throughput and driving safety in dense fog weather condition on highway, this paper uses a mathematical modeling method to study and control the fleet mixed with human-driven vehicles (HDVs) and connected automatic vehicles (CAVs) in dense fog environment on highway based on distributed model predictive control algorithm (DMPC), along with considering the car-following behavior of HDVs driver based on cellular automatic (CA) model. …”
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Assessing National and Military Security of Russia: Established Procedure and How to Improve It by S. P. Belokon’

“…One part of the solution could be a mathematical modelling of a decision-making process and a formalization of a target level of military security on the basis of a fuzzy set theory.…”
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Complexity to Forecast Flood: Problem Definition and Spatiotemporal Attention LSTM Solution by Yirui Wu, Yukai Ding, Yuelong Zhu, Jun Feng, Sifeng Wang

“…Taking Lech and Changhua river basins as cases of physical space, several groups of comparative experiments show that STA-LSTM is capable to optimize complexity of mathematically modeling floods in cyber space.…”
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Application of Image Recognition Algorithm Based on Partial Differential Equation and Wavelet Transform in the Intelligent Linkage System of Government Urban Public Management by Xinyu Xu

“…The method of mathematical modeling is used to combine the improved wavelet domain Wiener filter and the comprehensive model of partial differential equations. …”
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