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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Quantification of external disturbance forces in sliding microwire by Fazlar Rahman, M.A. Salam Akanda

“…Analytical assessment is also complex because of multi-physics involvement, nonlinearity of forces, and a lack of suitable mathematical models. Numerical analysis of microstructures is performed in the absence of all disturbance forces, whereas their influences cannot be eliminated during the experiment. …”
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Synthesis and release profile of ibuprofen-loaded zein and gelatin nanofiber scaffolds for potential transdermal application in burn wound treatment by umaima saleem memon, Murk saleem memon, Abdul Wahab Memon, Mehwish Shahzad, Murk Rehman, Farooq Ahmed, Zeeshan Khatri

“…The resultant fiber mats' drug release kinematics are compared to the standard mathematical models (Korsmeyer-pappas and Higuchi. The cumulative drug percentage released from these mats consistently validated Higuchi’s model, which exhibited diffusion-controlled super case-II transport (n>1). …”
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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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Comparative Study of ɛ-Polylysine or Nisin Inhibition Kinetics of Lactococcus lactis and Spoilage Microorganisms in Fresh Flammulina velutipes Fruiting Bodies by Qi Wei, Xinyuan Pan, Zhen Jia, Changcheng Li, Bingzhi Chen, Ting Fang, Yuji Jiang

“…The objective of this study was to investigate the effect of ɛ-PL or nisin on the growth of L. lactis and background (BK) microorganisms in fresh Flammulina velutipes fruiting bodies (FVFB) and develop mathematical models to predict their growth behavior. The effect of ɛ-PL (0.15 and 0.30 g/kg) or nisin (0.10 and 0.20 g/kg) on the growth of L. lactis and BK microorganisms in FVFB was analyzed at 4, 16, and 20°C. …”
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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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Estimating the Force of Infection with Helicobacter pylori in Japan by Taishi Kayano, Ki-Deok Lee, Hiroshi Nishiura

“…The present study employed mathematical models to estimate the time- and age-dependent force of infection with H. pylori in Japan, predicting the future seroprevalence by time and age. …”
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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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A BIM-Based Study on the Comprehensive Benefit Analysis for Prefabricated Building Projects in China by Yingbo Ji, Siwei Chang, Yuan Qi, Yan Li, Hong Xian Li, Kai Qi

“…However, there is a lack of an appropriate pattern for evaluating its comprehensive economic merits, and reasonable mathematical models for providing a comparative analysis of conventional cast-in-situ and prefabricated building projects have yet to be developed. …”
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Simulation modeling tools in training environmental science students by А. G. Kot, A. B. Achasov, O. Yu. Seliverstov, V. G. Karpov

“…Students are provided with the opportunity to create and study various scenarios using mathematical models. Students are encouraged to create and investigate the "Predator Prey" model, which is based on the Volterra-Lotka system of differential equations. …”
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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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Research on Slope Deformation Prediction Based on Fractional-Order Calculus Gray Model by Li Li, Yue Qiang, Shaohong Li, Zhongchao Yang

“…The use of the mathematical model to predict slope deformation has been proved to be feasible by many studies; therefore, the choice of the predictive model and the practicability of the model are crucial issues in the prediction of slope deformation, and the mathematical prediction model used should be less complicated considering the practicality of the model. …”
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Beam steering by two vertically faced metasurfaces using polarization free unit cells with three operating modes by Mohammadreza Jahangiri, Hossein Soleimani, Mohammad Soleimani

“…The unit cell in the nonplanar metasurface is composed of two vertical surfaces. A mathematical model is used to analyze two vertically-faced metasurfaces. …”
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Theoretical system of levels of constructing vehicle movement of ground urban electric transport vehicle by Aukhadeev A. E.

“…A theoretical system of levels of vehicle motion construction as a multilevel process has been formulated, mathematical models of each level have been identified, and sets of conditions characterizing "external" and "internal" "order parameters" defining hierarchical interlevel interrelations have been determined. …”
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