An Open-source Python Tool for Traction Force Microscopy on Micropatterned Substrates by Artur Ruppel, Vladimir Misiak, Martial Balland

“…This technique involves embedding fiducial markers in the substrate, imaging substrate deformations caused by the cells, and using mathematical models to infer forces. This protocol compiles procedures from various previously published studies and software packages and describes how to perform TFM on 2D micropatterned substrates. …”
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Study on Dynamics of Hydraulic Control System for Automatic Loading and Unloading of Drill Pipe of Geological Drilling Rig by Zhijian Liu, Yunlong Chen, Hailong Ruan

“…The simulation model verifies the mathematical model. It is concluded that the maximum transient force of steel wire rope is caused by the elastic coefficient K of steel wire rope, but the magnitude is independent of K. …”
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Reinforcement Learning-Driven Intelligent Truck Dispatching Algorithms for Freeway Logistics by Xiao Jing, Xin Pei, Pengpeng Xu, Yun Yue, Chunyang Han

“…Specifically, our contributions include the establishment of mathematical models for full-truckload (FTL) and less-than-truckload (LTL) transportation modes, respectively, and the introduction of reinforcement learning with deep Q-networks tailored for each transportation mode to improve the decision-making in order acceptance and truck repositioning. …”
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Global Stability for Novel Complicated SIR Epidemic Models with the Nonlinear Recovery Rate and Transfer from Being Infectious to Being Susceptible to Analyze the Transmission of C... by Fehaid Salem Alshammari, F. Talay Akyildiz

“…The dynamics of infectious diseases is complex, and therefore, researchers need to consider more complicated mathematical models. In this paper, we first describe the dynamics of a complex SIR epidemic model with nonstandard nonlinear incidence and recovery rates. …”
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MOTION PRECISION ANALYSIS OF PERMANENT MAGNET SYBCHRONOUS GRINDING MOTORIZED SPINDLE by GAO Feng, CHENG MingKe, LI Yan, HE PingPing, JIA WeiTao

“…Based on the spindle vibration error and thermal analysis,mathematical models of radial error motion,tilt error motion and axial error motion are established. …”
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Specificity and tunability of efflux pumps: A new role for the proton gradient? by Matthew Gerry, Duncan Kirby, Boian S Alexandrov, Dvira Segal, Anton Zilman

“…We developed a set of mathematical models describing operation of efflux pumps as a discrete cyclic stochastic process across a network of states characterizing pump conformations and the presence/absence of bound ligands and protons. …”
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Management Model for the Construction’s Waste Use in Walls Manufacturing by BIKS Yuriy, LIALIUK Olena, ZERONG Wan, LIALIUK Andrii

“…The mathematical model, which could be represented as a fuzzy inference tree for project man-agement aimed at waste usage in wall manufacturing, is proposed in the article. …”
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Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics by Atul Narang, Sergei S. Pilyugin

“…  &nbsp In this paper, we provide an overview of the experimental data, andintroduce a different class of mathematical models that can be usedto understand microbial growth dynamics. …”
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Gas-Water Flow Behavior in Water-Bearing Tight Gas Reservoirs by Renyi Cao, Liyou Ye, Qihong Lei, Xinhua Chen, Y. Zee Ma, Xiao Huang

“…Based on the experimental results, this paper presents mathematical models to describe flow behaviors of gas and water in tight gas formations; the threshold pressure gradient, stress sensitivity, and relative permeability are all considered in our models. …”
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Flow optimization in vascular networks by Radu C. Cascaval, Ciro D'Apice, Maria Pia D'Arienzo, Rosanna Manzo

“…The development of mathematical models for studying phenomena observed in vascular networks is very useful for its potential applications in medicine and physiology. …”
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Review of Prediction Models for Chloride Ion Concentration in Concrete Structures by Jiwei Ma, Qiuwei Yang, Xinhao Wang, Xi Peng, Fengjiang Qin

“…When adequately trained with sufficient experimental data, these models generally offer superior prediction accuracy compared to mathematical models. The downside is that they necessitate a larger dataset for training, which can complicate their practical application. …”
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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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Biomechanical Stress and Strain Analysis of Mandibular Human Region from Computed Tomography to Custom Implant Development by Rafael Ferreira Gregolin, Cecília Amelia de Carvalho Zavaglia, Ruís Camargo Tokimatsu, João A. Pereira

“…In addition to creating biomodels by computed tomography it is also possible, using this process, to create mathematical models to perform computer simulations and analyses of regions of interest. …”
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Comparative use of different AI methods for the prediction of concrete compressive strength by Mouhamadou Amar

“…Additionally, analytical mathematical models are often used to estimate concrete characteristics. …”
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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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Analysis of Naturally Occurring Radioactive Material (NORM) in shifting earth layers in Piyungan, Bantul by Iqbal Nurrahim, Andang Widi Harto, Yohannes Sardjono, Isman Mulyadi Triatmoko, Zuhdi Ismail, Gede Sutresna Wijaya

“…This study advances current methodologies by refining radon data analysis and employing mathematical models to further elucidate this relationship. …”
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Analysis and Dynamic Prediction of Bus Dwell Time Under Rainfall Conditions by Baoyun SUN, Yaping YANG, Lei DONG, Honglin LU, Zimin WANG

“…Although numerous mathematical models have been proposed, the predictive accuracy of existing models is insufficient for the precise formulation of bus policies. …”
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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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Analysis of the influence of surface deformation on the stability of overhead transmission lines and countermeasures by Xiaokai Meng, Siqing Xu, Fan Hu, Shuai Wang, Zhumao Lu

“…These effects include redistribution of conductor tension and deviation of insulator strings. Through mathematical models and engineering approximations, the specific effects of tower foundation settlement and horizontal displacement along the line direction on the operating conditions of various levels of overhead lines were analyzed in detail. …”
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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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