Thermal performance and MHD peristaltic flow of hybrid nanofluid (Au-Ta/Blood) in an asymmetric conduit with electro-osmosis and shape factor effects by K. Thirunavukarasan, G. Sucharitha

“…The current research aims to create a mathematical model for targeted drug delivery systems, applicable in areas like cancer treatment, genetic disorder therapies, and infection management. …”
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A Finite Element Method for Modeling Diffusion and Drug Release from Nanocellulose/Nanoporous Silicon Composites by Paulo Zúñiga, Marcelo Aravena, Silvia Ponce, Jacobo Hernandez-Montelongo

“…<b>Methods</b>: Release profiles of MB from NC/nPSi composites with varying nPSi concentrations (0%, 0.1%, 0.5%, and 1.0%) were experimentally measured in triplicate using phosphate-buffered saline (PBS) at 37 °C, pH 7.4, and 100 rpm. Mathematical models incorporating linear and quadratic dependencies of the diffusion coefficient on the MB concentration were developed and tested using the FE method. …”
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Study on Two-phase Flow Mechanisms in Nanopore Considering Microcosmic Deformation and Dynamic Capillary Force by Xiangji Dou, Cong Lin, Sujin Hong, Pengfei Zhu, An Wang, Guodong Qi

“…And then, innovative methods to quantify the dynamic capillary force phenomenon under comprehensive influence of pore size, roughness, and pressure are developed. Meanwhile, mathematical models, considering the effect of the pore deformation and dynamic capillary force, are furtherly derived to characterize the water-oil two-phase flow behavior for relatively large nanopores in shale oil reservoir, which can be used to investigate the influence of the vital parameters. …”
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Effects of Certain Personal Attributes on Food Waste by Ákos Bartha, Bálint Horváth

“…While exploring the causes of high amounts of consumer waste, a research group has also correlated (with mathematical models) the gradual growth rate of food waste, the US obesity epidemic and the growing supply of cheaper food products (Hall et al. 2009). …”
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Vaccine-induced reduction of COVID-19 clusters in school settings in Japan during the epidemic wave caused by B.1.1.529 (Omicron) BA.2, 2022 by Yuta Okada, Hiroshi Nishiura

“…Given this background and considering that vaccine effectiveness against school transmission has not been intensively studied, this paper proposes a mathematical model that links the occurrence of clustering to the case count among populations aged 0–19, 20–59, and 60+ years of age. …”
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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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Analysis of the Outer Contour Characteristics of Roadway Forming under the Influence of Cutting Head Vibration by Zhixiang Liu, Shuai Wang, Miao Xie, Chunxue Xie

“…The variation law of the vibration swing angle of the cutting head under different working conditions was obtained, and the coordinate of the cutting head of the roadheader in the roadway space coordinate system was determined by using the robot kinematics analysis method. The mathematical model of cutting the outer outline of the roadway by the cutting head is constructed. …”
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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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Numerical Simulation of Channelization Near the Wellbore due to Seepage Erosion in Unconsolidated Sands during Fluid Injection by Jin Sun, Shiguo Wu, Jingen Deng, Qingping Li, Qi Fan, Linwei Ma, Yanrui Liu

“…Based on the continuum mechanics, a mathematical model has been established to simulate the formation process of big channels in unconsolidated sands reservoir during fluid injection. …”
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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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The Research on Strain-Softening Characteristics and Local Fracture Law of Deep Granite Roadway by Chuang Sun, Yunhe Ao, Laigui Wang

“…A strain-softening model was developed based on plasticity theory for granite which took into account the nonlinear dilatancy angle and confining pressure. A mathematical model was developed using FLAC3D as platform. …”
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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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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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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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A New Method for Research on Unsteady Pressure Dynamics and Productivity of Ultralow-Permeability Reservoirs by Kun Wang, Li Li, Xiao Chen, Wei Liang, Yong Yang, Zhenghe Yan, Jianwen Dai, Wei Li, Yahui Wang, Weifang Wang, Min Li, Danling Wang

“…On that basis, instead of a constant skin factor, a well-test interpretation mathematical model is established by defining and using a time-varying skin factor. …”
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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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