Reaction Kinetics of Cinnamaldehyde Hydrogenation over Pt/SiO2: Comparison between Bulk and Intraparticle Diffusion Models by Ali Al-Shathr, Zaidoon M. Shakor, Bashir Y. Al-Zaidi, Hasan Sh. Majdi, Adnan A. AbdulRazak, Safa Aal-Kaeb, Adel A. Shohib, James McGregor

“…The kinetic parameters were obtained by applying a nonlinear dynamic optimization algorithm. Nevertheless, the comparison between the methodology of the present model and these five models indicated that the non-competitive mechanism is more acceptable and identical with the single-site Langmuir–Hinshelwood kinetic model including mass transfer effects and it mimicked the reactant behavior better than the other models. …”
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Conductance Model for Extreme Events: Impact of Auroral Conductance on Space Weather Forecasts by Agnit Mukhopadhyay, Daniel T. Welling, Michael W. Liemohn, Aaron J. Ridley, Shibaji Chakraborty, Brian J. Anderson

“…CMEE has been developed using nonlinear regression over a year's worth of 1‐min resolution output from assimilative maps, specifically including times of extreme driving of the solar wind‐magnetosphere‐ionosphere system. …”
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Harnessing the Influence of Pressure and Nutrients on Biological CO₂ Methanation Using Response Surface Methodology and Artificial Neural Network—Genetic Algorithm Appro... by Alexandros Chatzis, Konstantinos N. Kontogiannopoulos, Nikolaos Dimitrakakis, Anastasios Zouboulis, Panagiotis G. Kougias

“…RSM identified optimal ranges for trace elements and pressure, while ANN-GA demonstrated superior predictive accuracy, capturing nonlinear relationships with a high R² (>0.99) and minimal prediction errors. …”
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Effective Removal of Malachite Green from Aqueous Solutions Using Magnetic Nanocomposite: Synthesis, Characterization, and Equilibrium Study by Ali Q. Alorabi

“…Different parameters, such as pH of the solution (3–8), adsorbent dosage (10–100 mg), temperature (25–45°C), contact time (5-240 min), and initial MG concentrations (20–350 mg/L), for the elimination of the MG dye using Fe3O4@AJPL were optimized and found to be 7, 50 mg, 45°C, 120 min, and 150 mg/L, respectively. The nonlinear isotherm and kinetic studies exhibited a better fitting to second-order kinetic and Langmuir isotherm models, with a maximum monolayer adsorption capacity of 318.3 mg/g at 45°C, which was highly superior to the previously reported magnetic nanocomposite adsorbents. …”
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Projected Thermally Driven Elderly Mortality for Beijing Under Greenhouse Gas and Stratospheric Aerosol Geoengineering Scenarios by Jun Wang, Liyun Zhao, John C. Moore

“…Temperature‐related mortality risk were calculated using a distributed lag nonlinear model (DLNM) of the elderly (over 65s) under the dynamically downscaled moderate (RCP4.5) and extreme (RCP8.5) greenhouse gas, and the G4 SAI scenarios. …”
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Acoustic Emission and Failure Modes for Coal-Rock Structure under Different Loading Rates by Ning Wang, Yingqian Xu, Dengyuan Zhu, Nan Wang, Benfu Yu

“…The following conclusions are drawn: (1) when loading rate was relatively low, plastic deformation of coal mass fully developed, while surface cracks of coal mass was not apparent and slip along the transfixion crack occurred in the postpeak stage; (2) with the increase in loading rate, surface tensile cracks developed into splitting cracks at the end of the prepeak stage and throughout the postpeak stage, and brittle failure finally happened due to the release of nonlinear step-shaped energy or one-time strain energy release of upper rock mass, resulting in the damage of internal bearing structure and weakening of bearing capacity; (3) the deformation and failure process of combined samples showed obvious phases, and corresponding AE energy release rate could be divided into periodic linear growth and transient growth, while the cumulative energy of AE events has multiple peak points and transient growth with the increase of loading rate; (4) it was demonstrated that two distinct frequency bands existed in AE events, which were about 50 kHz and 150 kHz, and the distribution of AE events near 50 kHz was larger and stronger, representing the main frequency range of cracks in coal mass. …”
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Effects of heat generation and absorption on thermal radiative MHD flow of chemically reacting Casson nanofluids over a wedge by S. Venkateswarlu, B. Hari Babu, M. Veera Krishna

“…The basic governing partial differential equations are converting into nonlinear ordinary differential equations with employing suitable similarity transformations. …”
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Harvesting Solar Energy: Prediction of Daily Global Horizontal Irradiance Using Artificial Neural Networks and Assessment of Electrical Energy of Photovoltaic at North Eastern Ethi... by Tegenu A. Woldegiyorgis, Abera D. Assamnew, Gezahegn A. Desalegn, Sentayehu Y. Mossie

“…Because of its variability and nonlinear characteristics, it needs accurate prediction techniques in a specific location. …”
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Cardiometabolic index and mortality risks: elevated cancer and reduced cardiovascular mortality risk in a large cohort by Junjie Wang, Li Xiao, Zhou Li

“…Restricted cubic spline analyses and stratified analyses were conducted to investigate potential nonlinear effects and interactions. Results The decreased participants exhibited considerably higher CMI than the alive’s. …”
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Improved Continuous Wavelet Transform for Modal Parameter Identification of Long-Span Bridges by Mingjin Zhang, Xu Huang, Yongle Li, Hao Sun, Jingyu Zhang, Bin Huang

“…In recent years, the wavelet method has been applied more frequently in parameter identification of linear and nonlinear systems. In this article, based on wavelet ridges and wavelet skeleton, the improved modal parameter identification method was studied. …”
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Numerical Evaluation of the Opening Effects on the Reinforced Concrete Slab Structural Performance by Meysam Aminitabar, Omar Kanaani, Amir Reza Eskenati

“…In building this three-dimensional model, it is attempted to accurately model all nonlinear properties of steel and concrete materials as well as the interactions between them. …”
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Clinical and Histopathological Characteristics of Acquired Inflammatory Blaschko-Linear Disorders by Nikhil Mehta, Binod K. Khaitan, M. Ramam, Neetu Bhari, Gomathy Sethuraman, Manoj K. Singh

“…Limitations: Limitations include cross-sectional design and lack of controls with generalized nonlinear diseases. Conclusions: Acquired inflammatory Blaschko-linear disorders show distinct characteristics like involvement of multiple lines and sites, directional progression, and atrophic variants. …”
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Association between red blood cell distribution width and mortality in severe osteomyelitis patients by Yunlong Liu, Yan Zheng, Sheng Ding

“…Restricted Cubic Spline (RCS) was used to detect the nonlinear relationship between RDW and mortality rate. …”
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Numerical investigation of heat and mass transfer for unsteady multiphase flow in a vented cavity filled with hybrid nanofluid by Muhammad Ashhad Shahid, Mojtaba Dayer, Muhammad Adil Sadiq, Haris Ali, Ishak Hashim

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Heat Transfer Management of Thermal and Electronics Systems using Convective-Radiative Porous Fins with Thermal Contact Resistance and Diabatic Tip by Joy Nneka Ojuro, Gbeminiyi Musibau Sobamowo, Antonio Marcos de Oliveira Siqueira

“…However, the present article explores the significances of thermal contact resistance and diabatic tip on the transient thermal response of straight fin with temperature-dependent thermal conductivity and magnetic field under radiative-convective conditions. The nonlinear model is analyzed numerically using generalized Integral Transform Techniques and the numerical results are verified by the exact solution for the linear thermal model. …”
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Terahertz Metamaterials Inspired by Quantum Phenomena by Ziheng Ren, Yuze Hu, Weibao He, Siyang Hu, Shun Wan, Zhongyi Yu, Wei Liu, Quanlong Yang, Yuri S. Kivshar, Tian Jiang

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Magnetic and pH sensitive nanocomposite microspheres for controlled temozolomide delivery in glioblastoma cells by Meysam Ahmadi, Muhammad Hossein Ashoub, Kamran Heydaryan, Sanaz Abolghasemi, Elmuez A. Dawi, Ghazal khajouei, Mahnaz Amiri

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Optimal Lane Allocation Strategy in Toll Stations for Mixed Human-Driven and Autonomous Vehicles by Zuoyu Chai, Tanghong Ran, Min Xu

“…To fully leverage the congestion reduction potential of ETC, this paper addresses the problem of ETC lane allocation at toll stations under heterogeneous traffic flows, modeling it as a mixed-integer nonlinear bilevel programming problem (MINLBP). The objective is to minimize total toll station travel time by optimizing the number of ETC lanes at station entrances and exits while considering ETC-HVs’ lane selection behavior based on the user equilibrium principle. …”
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Space-Time Evolution Laws of Zonal Disintegration in Deep Underground Caves Based on Coordination Deformation between the Bolt Body and Surrounding Rock by Yuan-xiang Yu, Zhi-xun Xie, Bao-ping Chen

“…Because the divisional rupture law in engineering practice is closely related to the force characteristics of the bolt body, this paper analyzed stress distribution rules of the same bolt body at different times and that of different bolt bodies at the same time in the case of zonal disintegration based on coordination deformation between the bolt body and surrounding rock. The nonlinear rheological mechanics model of rock mass on the elastic-plastic interface under the maximum support pressure was established. …”
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Development Characteristics and Sensitivity Analysis of Expansive Soil Slope by Pengfei Jiang, Yuanyuan Kong, Zhenyu Song, Ruixin Zhao, Jiewei Zhan, Xuhui Lin

“…The undisturbed soil had typical nonlinear rheological property; The deformation rate of reconstituted was bigger; When the load was 50 kPa and 200 kPa, an expansion phenomena occurred in the sliding zone, which indicated that microstructure could influence the deformation. …”
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