Cascaded neural network surrogate modeling for real-time decision-making in long-distance water supply distribution by Lin Shi, Jian Zhang, Sheng Chen, Yi Liu, Wenlong Zhao

“…In the proposed CNN model, the classification component identifies the number of pumps needed to meet system flow demands, while the regression component predicts target values for pump speeds and valve openings. Considering the nonlinear relationship between flow rate and regulating elements, flow error was introduced as an evaluation metric via Orthogonal-Triangular (QR) decomposition. …”
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River water quality monitoring using machine learning with multiple possible in-situ scenarios by Dani Irwan, Saerahany Legori Ibrahim, Sarmad Dashti Latif, Chris Aaron Winston, Ali Najah Ahmed, Mohsen Sherif, Amr H. El-Shafie, Ahmed El-Shafie

“…Furthermore, many water quality factors have complex nonlinear relationships that are difficult for these methods to handle. …”
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Research of the microwave generator and antenna emitters for hyperthermia of oncological diseases by V. V. Fedyanin

“…It is established that the maximum radiated power occurs when the oscillation frequency is equal to the natural frequency of the antennas. The nonlinear dependence of the supply voltage on the radiation power is established. …”
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Giant Hall Waves Launched by Superconducting Phase Transition in Pulsars by Ashley Bransgrove, Yuri Levin, Andrei M. Beloborodov

“…We show that the transition to superconductivity triggers a highly nonlinear response in the Hall drift of the crustal magnetic field, an effect which was neglected in previous numerical modeling. …”
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Associations between neutrophil percentage to albumin ratio and rheumatoid arthritis versus osteoarthritis: a comprehensive analysis utilizing the NHANES database by Wenquan Ding, Rui La, Shenghao Wang, Zhiyuan He, Dinghua Jiang, Zhigang Zhang, Hao Ni, Wu Xu, Lixin Huang, Qian Wu, Qian Wu

“…Further analyses using curve fitting and threshold effect models revealed a nonlinear association between NPAR and RA, with an inflection point identified at 15.56.ConclusionHigh levels of NPAR is positively associated with the prevalence of RA. …”
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Study of Corrosion Behavior of Mg–Gd-Based Soluble Magnesium Alloys by Qinghua Wang, Zhiquan Huang, Yanchun Zhu, Ling Qin, Jingfeng Zou, Lifeng Ma

“…The results demonstrated that corrosion rates increased with higher Cl⁻ concentrations and elevated temperatures, albeit in a nonlinear manner. Notably, significant effects on corrosion rates were observed in the Cl⁻concentration range of 1% to 3% and at temperatures between 75 °C and 100 °C. …”
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High serum uric acid levels are associated with increased prevalence of gallstones in adult women: a cross-sectional study based on NHANES by Guozheng Lv, Guozheng Lv, Decai Wang, Decai Wang, Yu Huang, Ruizi Shi, Chuan Qin, Xi Chen, Xintao Zeng, Hua Luo, Pei Yang, Sirui Chen, Jianjun Wang, Jianjun Wang

“…Dose-response curves showed a nonlinear correlation between SUA levels and the prevalence of GS. …”
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Evolution of Magnetohydrodynamic Turbulence in the Expanding Solar Wind: Residual Energy and Intermittency by Chen Shi, Nikos Sioulas, Zesen Huang, Marco Velli, Anna Tenerani, Victor Réville

“…Our findings reveal the consistent generation of negative residual energy whenever nonlinear interactions are present, independent of the normalized cross helicity σ _c and compressibility. …”
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Mathematical Modeling of Public Opinions: Parameter Estimation, Sensitivity Analysis, and Model Uncertainty Using an Agree-Disagree Opinion Model by Sara Bidah, Omar Zakary, Mostafa Rachik, Hanane Ferjouchia

“…To validate the reality of the underlying model, we use nonlinear least-squares regression to fit the model to actual data. …”
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Validation of Hydraulic Mechanism during Blowout Trauma of Human Orbit Depending on the Method of Load Application by Marcin A. Zmuda Trzebiatowski, Paweł Kłosowski, Andrzej Skorek, Krzysztof Żerdzicki, Paweł Lemski, Mateusz Koberda

“…Such an approach is aimed at a better understanding of the pattern for the formation of blowout fractures during the indirect load applied to the orbital bones. The nonlinear dynamic analysis of both numerical models showed that the potential fracture was observed in the second variant only, embracing a relatively large area: both medial and lower wall of the orbit. …”
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Experimental study on the evolution of submerged artificial sandbar-beach profile under the regular waves condition by Wenliang Zhang, Junli Guo, Lianqiang Shi, Zhuocheng Liu, Qinghua Ye, Cuiping Kuang, Yu Peng, Huangzhe Qi

“…Continuous sediment transport into the trough characterizes the beach face, with sediment movement controlled by wave height and period. A linear or nonlinear relationship between sandbar erosion depth, beach slope, and wave parameters (height, period) is established, providing an empirical model for SAB-beach profiles. …”
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Identification of quantitative trait loci and candidate genes associated with growth curve parameters in chinese wenshang barred chickens by Yan Zhou, Jie Liu, Qiuxia Lei, Haixia Han, Wei Liu, Dapeng Li, Yan Sun, Dan Hao, Fuwei Li, Dingguo Cao, Jie Wang

“…This study performed a genome-wide association study (GWAS) for growth curve parameters generated by nonlinear models which fit original weight-age records, to discover the SNPs and candidate genes correlated with growth traits. …”
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Residual Energy and Broken Symmetry in Reduced Magnetohydrodynamics by S. Dorfman, M. Abler, S. Boldyrev, C. H. K. Chen, S. Greess

“…Alfvénic quasi-modes that do not satisfy the Alfvén wave dispersion relation and exist only in the presence of a nonlinear term can contain either positive or negative residual energy, but until now, an intuitive physical explanation for why negative residual energy is preferred has remained elusive. …”
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Understanding the formation of a low-pressure pedestal in the presence of a strong internal transport barrier in DIII-D high βp plasmas by X.R. Zhang, X. Jian, Y.R. Zhu, Y.P. Zou, Z.Y. Li, Y.J. Zhou, L.Z. Liu, S. Zheng, Z.X. Wang, W. Chen, S.Y. Ding, A.M. Garofalo, V.S. Chan, G.Q. Li

“…Under such a low pedestal, linear simulations with BOUT++ predict the growth rates of peeling–ballooning modes to be lower across the whole toroidal mode number spectra, and the nonlinear BOUT++ simulation exhibits lower saturated fluctuation intensity as well, consistent with the experimentally observed lower ELM size.…”
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Model-Oriented Training of Coordinators of the Decentralized Control System of Technological Facilities With Resource Interaction by Volodymyr M. Dubovoi, Maria S. Yukhimchuk, Viacheslav V. Kovtun, Krzysztof R. Grochla

“…An approach to determining the optimal statistics of the training dataset for the coordination control of nonlinear technological facilities with resource interaction is proposed. …”
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Effect of Low-Frequency Vibration on Muscle Response under Different Neurointact Conditions by Chaofei Zhang, Wenjun Wang, Dennis Anderson, Sishu Guan, Guofa Li, Hongyi Xiang, Hui Zhao, Bo Cheng

“…The tension-length curve was found to be a nonlinear hysteresis loop that changed with frequency. …”
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Further Analysis of the Passive Dynamics of the Compass Biped Walker and Control of Chaos via Two Trajectory Tracking Approaches by Essia Added, Hassène Gritli, Safya Belghith

“…The dynamic walking of the compass-gait walker is modeled by an impulsive hybrid nonlinear system. This impulsive hybrid nature is considered very complex as it can generate unwanted phenomena such as chaos and bifurcations. …”
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Aminopropyl Functionalised MCM-41: Synthesis and Application for Adsorption of Pb(II) and Cd(II) by Pham Dinh Du, Nguyen Trung Hieu, Thuy Chau To, Long Giang Bach, Mai Xuan Tinh, Tran Xuan Mau, Dinh Quang Khieu

“…The experimental data were applied to the isotherm models of adsorption including Langmuir, Freundlich, Redlich–Peterson, and Sips either in the linear or nonlinear form. In order to avoid the bias of the determination coefficient and the error function method, the paired-samples t-test as an alternative method was first proposed to look for the most appropriate adsorption isotherms. …”
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A constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakage by Zong-Tang Zhang, An Liu, Si-Chun Yu, Shun-Kai Liu, Chuan-Feng Fang, Ze Liu, Wei Hu

“…The stress–strain curves of the samples exhibit a distinct nonlinear growth pattern. Analysis of the compaction effect suggests that the compaction degree of CGSF should not be lower than 93%. …”
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Fatigue Life of Pre-Cut Seam Asphalt Mixture Composite Beams: A Combined Study of Fatigue Damage Evolution and Reflective Cracking Extension by Hongfu Liu, Hong Lu, Xun Zhu, Zhengwei Yi, Xin Yu, Dongzhao Jin, Xinghai Peng, Songtao Lv

“…To enhance the accuracy of determining composite beam failure, the critical fatigue damage was calculated by defining the damage variable in terms of the dynamic modulus. A nonlinear fatigue damage model was proposed, incorporating this critical damage under the combined influence of various factors. …”
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