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18 pages, 1822 KB  
Article
Measuring Plantar Flexor Voluntary Activation and Maximal Voluntary Contraction in a Portable, Seated Method: A Validity and Reliability Study
by Molly E. Coventry, Andrea B. Mosler, Paola T. Chivers, Brady D. Green, Ebonie K. Rio and Myles C. Murphy
J. Funct. Morphol. Kinesiol. 2026, 11(1), 116; https://doi.org/10.3390/jfmk11010116 - 10 Mar 2026
Viewed by 108
Abstract
Background: Voluntary activation testing quantifies the ability of the motor nervous system to produce maximal force. Laboratory assessment of ankle plantar flexor voluntary activation is common, but field testing in practical settings is limited by equipment portability. We aimed to compare plantar [...] Read more.
Background: Voluntary activation testing quantifies the ability of the motor nervous system to produce maximal force. Laboratory assessment of ankle plantar flexor voluntary activation is common, but field testing in practical settings is limited by equipment portability. We aimed to compare plantar flexor voluntary activation and maximal voluntary contraction (MVC) using a portable device with a standardised laboratory method and evaluate the test–retest reliability of the portable protocol. Methods: We performed a pseudo-randomised, crossover design. Participants completed two protocols: (1) portable force plate testing and (2) a laboratory-based isokinetic dynamometer. Voluntary activation was assessed using twitch interpolation via tibial nerve stimulation. Differences between protocols were analysed using generalised estimating equations. Reliability was assessed with the intraclass correlation coefficient (ICC), standard error of measurement (SEM), and coefficient of variation (CV). Results: Twenty healthy participants (8 females, 12 males; median age 28.5 years) were included. No difference between protocols was detected for voluntary activation (β = 0.6, p = 0.68). The portable protocol demonstrated good reliability (ICC = 0.85) and low measurement error (SEM = 2.56%, CV = 2.79%). Conclusions: We demonstrated that the portable protocol is a valid and reliable method for assessing plantar flexor voluntary activation. It is suitable for assessing within-subject changes over time and can reduce participant attendance burden for neurophysiological muscle testing. Full article
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13 pages, 1455 KB  
Article
Prediction Model for Quality Changes in Repeatedly Frozen–Thawed Pork Based on MRI Scans and Chemometrics
by Hui Liu, Yuhui Zhang, Ke Liu, Wusun Li and Xiaoyan Tang
Foods 2026, 15(4), 686; https://doi.org/10.3390/foods15040686 - 13 Feb 2026
Viewed by 330
Abstract
This study investigated fresh pork and pork subjected to repeated freeze–thaw cycles. The effects of freeze–thaw treatments on water status, WHC, and quality attributes of pork were systematically analyzed, and a nondestructive prediction method for WHC based on magnetic resonance imaging (MRI) was [...] Read more.
This study investigated fresh pork and pork subjected to repeated freeze–thaw cycles. The effects of freeze–thaw treatments on water status, WHC, and quality attributes of pork were systematically analyzed, and a nondestructive prediction method for WHC based on magnetic resonance imaging (MRI) was developed. The results showed that increasing freeze–thaw cycles significantly reduced moisture content and increased drip loss, indicating a continuous deterioration of overall WHC. Texture parameters and shear force values decreased markedly, suggesting that muscle structure was progressively damaged by ice crystal formation and recrystallization. T2-weighted MRI pseudo-color scans clearly reflected changes in internal water distribution, with high-signal regions gradually decreasing as freeze–thaw cycles increased, which was consistent with the experimentally measured trends in moisture content and WHC. Based on MRI features, principal component regression (PCR) and partial least squares regression (PLSR) models were established to predict pork WHC. The PCR model extracted 16 principal components (cumulative contribution rate of 96.394%), with calibration set results of Rc2 = 0.8825 and RMSEC = 1.7959, and validation set results of Rp2 = 0.8856 and RMSEP = 2.0284. The optimal number of latent variables for the PLSR model was six, yielding calibration set results of Rc2 = 0.9634 and RMSEC = 1.0026, and validation set results of Rp2 = 0.9656 and RMSEP = 1.1119, with all residuals less than 1. Overall, the combination of MRI and chemometric methods, particularly the PLSR model, enables rapid, nondestructive, and accurate prediction of pork WHC, providing a useful tool for quality evaluation under repeated freeze–thaw conditions and for quality control in pork processing, storage, and cold-chain management. Full article
(This article belongs to the Section Food Analytical Methods)
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23 pages, 6796 KB  
Article
Finite-Difference Analysis of a Quasi-3D Wave-Driven Flow Model: Stability, Grid Structure and Parameter Sensitivity
by Gabriela Gic-Grusza and Piotr Szeląg
Appl. Sci. 2026, 16(4), 1822; https://doi.org/10.3390/app16041822 - 12 Feb 2026
Viewed by 229
Abstract
Wave-driven free-surface flows pose numerical challenges due to tensorial radiation stress forcing, anisotropic diffusion, and strong sensitivity to closure parameters. This paper investigates the numerical behavior of a quasi-3D wave-driven flow model using a coupled depth-integrated (2D) solver with a diagnostic three-dimensional (3D) [...] Read more.
Wave-driven free-surface flows pose numerical challenges due to tensorial radiation stress forcing, anisotropic diffusion, and strong sensitivity to closure parameters. This paper investigates the numerical behavior of a quasi-3D wave-driven flow model using a coupled depth-integrated (2D) solver with a diagnostic three-dimensional (3D) reconstruction employed for consistency verification to evaluate the validity of dimensional reduction. The scheme is implemented on a staggered Arakawa C-grid with a terrain-following vertical coordinate and explicit pseudo-time-stepping, which enables the direct assessment of stability limits. A reference experiment and systematic sensitivity tests are performed for three idealized bathymetries of increasing complexity. Bottom friction primarily controls the free-surface response, with critical thresholds (e.g., f0.03) identified via the free-surface displacement Z as markers for the onset of numerical stiffness. Horizontal eddy viscosity Nh has a weak influence on depth-integrated transport over most of the tested range, whereas vertical eddy viscosity Nv governs both transport magnitude and stability through the vertical diffusion constraint, acting as the primary bottleneck for computational efficiency. A stability map in the (Nv,Δt,Nz) space is provided to delineate stable, marginal, and unstable regimes identifying an optimal vertical resolution of Nz10 for coastal applications. Grid resolution experiments quantify convergence trends and show that sensitivity increases with bathymetric complexity, revealing that bathymetric aliasing in multi-bar systems can lead to errors of up to 20% if gradients are under-resolved. Finally, a consistent set of diagnostic metrics is proposed for comparing 2D solutions with their vertically resolved counterparts, establishing a validity envelope where 2D models remain reliable versus regimes where explicit vertical shear resolution is mandatory. The results provide a practical roadmap for parameter selection, ensuring numerical robustness in complex, mechanically forced free-surface CFD applications. Full article
(This article belongs to the Special Issue Applied Numerical Analysis and Computing in Mechanical Engineering)
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17 pages, 5521 KB  
Article
From Foodborne Pollutant Carrier to Gastrointestinal Trojan Horse: Simulating the Bioaccessibility of Antibiotics Loaded on Aged Polylactic Acid Microplastics in Human Digestive System
by Shuliang Tan, Ying Zhang, Lingling Liu, Jialiang Pan, Wenzhen Liao, Wenxia Wang, Xiaowei Pan, Xingfen Yang and Qi He
Foods 2026, 15(4), 633; https://doi.org/10.3390/foods15040633 - 10 Feb 2026
Viewed by 338
Abstract
Foodborne microplastics (MPs) are suspected carriers of co-ingested food contaminants, yet their digestive fate remains poorly characterized. This study simulates the role of environmentally aged polylactic acid (PLA) MPs—a common food-contact material—in transporting the antibiotic tetracycline (TC) through the human gastrointestinal tract. K [...] Read more.
Foodborne microplastics (MPs) are suspected carriers of co-ingested food contaminants, yet their digestive fate remains poorly characterized. This study simulates the role of environmentally aged polylactic acid (PLA) MPs—a common food-contact material—in transporting the antibiotic tetracycline (TC) through the human gastrointestinal tract. K2S2O8-induced aging significantly increased PLA surface porosity, oxygen-containing groups, and hydrophilicity, elevating TC adsorption capacity from 0.54 to 0.95 mg/g. While adsorption kinetics were consistent with pseudo-second-order behavior, mechanistic analysis indicates that aging promotes interactions dominated by hydrogen bonding and electrostatic forces, rather than purely physical deposition. Critically, in vitro digestion models revealed that simulated intestinal fluid significantly enhances TC release (up to 62.7% of adsorbed load) compared to gastric conditions. Sequential gastrointestinal simulation yielded a bioaccessibility of 32.6%, indicating substantial digestive mobilization of MP-bound antibiotics. These findings underscore the potential of aged PLA MPs to act as digestive-stage “Trojan horses” for foodborne antibiotics. Our integrated approach—combining controlled aging, adsorption thermodynamics, and physiologically relevant digestion models—provides a mechanistic screening framework for assessing the bioaccessibility and exposure potential of microplastic-vectored contaminants in food safety contexts. Full article
(This article belongs to the Section Food Toxicology)
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29 pages, 4838 KB  
Article
Braking Force Control for Direct-Drive Brake Units Based on Data-Driven Adaptive Control
by Chunrong He, Xiaoxiang Gong, Haitao He, Huaiyue Zhang, Yu Liu, Haiquan Ye and Chunxi Chen
Machines 2026, 14(2), 163; https://doi.org/10.3390/machines14020163 - 1 Feb 2026
Viewed by 381
Abstract
To address the increasing demands for faster response and higher control accuracy in the braking systems of electric and intelligent vehicles, a novel brake-by-wire actuation unit and its braking force control methods are proposed. The braking unit employs a permanent-magnet linear motor as [...] Read more.
To address the increasing demands for faster response and higher control accuracy in the braking systems of electric and intelligent vehicles, a novel brake-by-wire actuation unit and its braking force control methods are proposed. The braking unit employs a permanent-magnet linear motor as the driving actuator and utilizes the lever-based force-amplification mechanism to directly generate the caliper force. Compared with the “rotary motor and motion conversion mechanism” configuration in other electromechanical braking systems, the proposed scheme significantly simplifies the force-transmission path, reduces friction and structural complexity, thereby enhancing the overall dynamic response and control accuracy. Due to the strong nonlinearity, time-varying parameters, and significant thermal effects of the linear motor, the braking force is prone to drift. As a result, achieving accurate force control becomes challenging. This paper proposes a model-free adaptive control method based on compact-form dynamic linearization. This method does not require an accurate mathematical model. It achieves dynamic linearization and direct control of complex nonlinear systems by online estimation of pseudo partial derivatives. Finally, the proposed control method is validated through comparative simulations and experiments against the fuzzy PID controller. The results show that the model-free adaptive control method exhibits significantly faster braking force response, smaller steady-state error, and stronger robustness against external disturbances. It enables faster dynamic response and higher braking force tracking accuracy. The study demonstrates that the proposed brake-by-wire scheme and its control method provide a potentially new approach for next-generation high-performance brake-by-wire systems. Full article
(This article belongs to the Section Vehicle Engineering)
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36 pages, 5952 KB  
Article
Pseudo-Static Finite-Element Assessment of Seismic Soil–Pipeline Interaction in Multi-Line Buried Pipelines
by Maryam Alrubaye, Mahmut Şengör and Ali Almusawi
Processes 2026, 14(3), 491; https://doi.org/10.3390/pr14030491 - 30 Jan 2026
Viewed by 428
Abstract
This study investigates the seismic response of double- and triple-buried steel pipeline systems using finite-element modeling in RS2, with particular emphasis on soil–pipeline interaction and symmetry-breaking behavior under pseudo-static seismic loading. Although the pipeline systems are initially symmetric in geometry, material properties, and [...] Read more.
This study investigates the seismic response of double- and triple-buried steel pipeline systems using finite-element modeling in RS2, with particular emphasis on soil–pipeline interaction and symmetry-breaking behavior under pseudo-static seismic loading. Although the pipeline systems are initially symmetric in geometry, material properties, and boundary conditions, the analysis demonstrates that directional seismic excitation induces quantitatively measurable asymmetric responses in shear force, displacement, and spacing due to nonlinear soil–pipeline interaction. Five parametric scenarios were examined, including burial depth (1–5 m), pipeline diameter (8–56 in.), groundwater table (1.4–20 m), peak ground acceleration (0.1–0.6 g), and soil type. The results show that maximum shear forces increase with burial depth and diameter, reaching approximately 15–17 kN in clayey soils at a PGA of 0.4 g, whereas sandy and heterogeneous soils produce lower shear forces (≈12–14 kN). Horizontal displacements are strongly governed by groundwater and PGA, increasing from about 1.2–1.8 m in dry or deep groundwater conditions to more than 2.8 m for shallow groundwater and exceeding 5 m at PGA = 0.6 g. Triple-pipeline systems exhibit higher shear demand due to confinement effects, with the middle pipeline often developing the largest shear force, while the pipeline facing the seismic load consistently experiences the greatest displacement. This study makes two primary contributions. First, it demonstrates that initially symmetric multilined buried pipeline systems exhibit systematic, quantifiable symmetry-breaking behavior under directional seismic loading, manifested as unequal shear forces, displacements, and interaction effects among adjacent pipelines. Second, it presents an integrated multi-parameter coupling analysis that simultaneously accounts for burial depth, pipeline diameter, groundwater level, soil type, and peak ground acceleration, revealing interaction mechanisms that cannot be captured through single-parameter or single-pipeline assessments. Full article
(This article belongs to the Special Issue Design, Inspection and Repair of Oil and Gas Pipeline)
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19 pages, 6954 KB  
Article
Smart Clot: An Automated Point-of-Care Flow Assay for Quantitative Whole-Blood Platelet, Fibrin, and Thrombus Kinetics
by Alessandro Foladore, Simone Lattanzio, Ekaterina Baryshnikova, Martina Anguissola, Elisabetta Lombardi, Marco Valvasori, Roberto Vettori, Francesco Agostini, Roberto Tassan Toffola, Lidia Rota, Marco Ranucci and Mario Mazzucato
Biosensors 2026, 16(2), 80; https://doi.org/10.3390/bios16020080 - 28 Jan 2026
Viewed by 456
Abstract
Hemostasis depends on the coordinated interaction between platelets, coagulation factors, endothelium, and shear forces. Current point-of-care (POC) assays evaluate isolated components of haemostasis or operate under nearly static conditions, limiting their ability to reproduce physiological thrombus formation. In this study, we performed the [...] Read more.
Hemostasis depends on the coordinated interaction between platelets, coagulation factors, endothelium, and shear forces. Current point-of-care (POC) assays evaluate isolated components of haemostasis or operate under nearly static conditions, limiting their ability to reproduce physiological thrombus formation. In this study, we performed the technical validation of Smart Clot, a fully automated, microfluidic POC platform that quantifies platelet aggregation, fibrin formation, and total thrombus growth under controlled arterial shear using unmodified whole blood. Recalcified citrated blood was perfused over collagen at γ˙w = 300 s−1. Dual-channel epifluorescence microscopy acquired platelet and fibrin(ogen) signals at 1 frame per second. Integrated Density time-series were fitted with a five-parameter logistic model; first derivatives and their integrals yielded standardized pseudo-volumes for platelets, fibrin(ogen), and total thrombus. Sixty-two healthy donors established reference distributions; one-hundred-thirteen patients on antithrombotic therapy assessed pharmacodynamic sensitivity. Platelet-derived parameters were approximately normally distributed, whereas fibrin(ogen) and total thrombus values followed log-normal patterns. Anticoagulants and antiplatelet agents produced graded, mechanism-consistent inhibition of all thrombus components. Cardiopulmonary bypass samples showed profound but transient suppression of platelet and fibrin activity. Across activity ranges, multiple statistical assessments supported high analytical repeatability. Smart Clot provides rapid, reproducible, flow-aware quantification of platelet–fibrin dynamics, capturing pharmacological modulation and peri-operative impairment with high sensitivity. These results support its potential as a next-generation POC assay for physiological hemostasis assessment. Full article
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20 pages, 339 KB  
Article
Confronting Demonic Autonomy in Digital Capitalism: Reconstructing Tillich’s Religious Socialism as a Post-Secular Public Theology
by Li Tian and Shangwen Dong
Religions 2026, 17(1), 116; https://doi.org/10.3390/rel17010116 - 20 Jan 2026
Viewed by 471
Abstract
In an age in which the post-secular condition and digital capitalism are increasingly interwoven, the question of what role religion ought to play in the public sphere—and how it might regain critical and constructive force amid deepening crises of meaning—has become urgent. Contemporary [...] Read more.
In an age in which the post-secular condition and digital capitalism are increasingly interwoven, the question of what role religion ought to play in the public sphere—and how it might regain critical and constructive force amid deepening crises of meaning—has become urgent. Contemporary digital capitalism, characterized by the pseudo-sacralization of algorithmic logic, generates a persistent absorptive power marked by ecstatic effects. This elevates technological rationality and market logic to a level of pseudo-sacral authority, exercising a form of symbolic and spiritual domination. Returning to Paul Tillich’s thought, this article reconstructs his vision of religious socialism not as a historical artifact, but as a critical public theology capable of resisting this form of demonic domination. Tillich’s central insight is that the crisis of capitalism is not merely economic but ontological: its culture of “autonomy” severs itself from its religious ground, allowing finite forms—now amplified by digital technology—to elevate themselves into ultimate meaning and thereby consolidate into self-absolutizing, demonic structures. Against this background, the article argues that Tillich’s religious socialism is not a proposal for institutional replacement, but a public theological practice rooted in “ultimate concern.” Its task is to expose the structures of usurpation operative within digital capitalism and to reconfigure the order of meaning through the symbolic vision of theonomy. Through this symbolic practice, religion is recovered as a deep dimension of culture capable of critically piercing the regimes of meaning-occlusion. Moreover, it is precisely the unfinished and open-ended characteristic of religious socialism that enables it to regain theoretical and symbolic vitality in the post-secular present. Full article
(This article belongs to the Special Issue Post-Secularism: Society, Politics, Theology)
29 pages, 3377 KB  
Review
Application of Magnetorheological Damper in Aircraft Landing Gear: A Systematic Review
by Quoc-Viet Luong
Machines 2026, 14(1), 106; https://doi.org/10.3390/machines14010106 - 16 Jan 2026
Viewed by 475
Abstract
During takeoff and landing, aircraft operate in a variety of situations, posing significant challenges to landing gear systems. Passive hydraulic–pneumatic dampers are commonly used in conventional landing gear to absorb impact energy and reduce vibration. However, due to their fixed damping characteristics and [...] Read more.
During takeoff and landing, aircraft operate in a variety of situations, posing significant challenges to landing gear systems. Passive hydraulic–pneumatic dampers are commonly used in conventional landing gear to absorb impact energy and reduce vibration. However, due to their fixed damping characteristics and inability to adjust to changing operating conditions, these passive systems have several limitations. Recent research has focused on creating intelligent landing gear systems with magnetic dampers (MR) to overcome these limitations. By changing the magnetic field acting on the MR fluid, MR dampers provide semi-active control of the landing gear dynamics and adjust the damping force in real time. This flexibility reduces structural load during landing, increases riding comfort, and improves energy absorption efficiency. This study examines the current state of MR damper application for aircraft landing gear. The review categorizes current control techniques and highlights the structural integration of MR dampers in landing gear assemblies. Purpose: The magnetorheological (MR) damper has become a promising semiactive system to replace the conventional passive damper in aircraft landing gear. However, the mechanical structure and control strategy of the MR damper must be designed to be suitable for aircraft landing gear applications. Methods: Researchers have explored the potential structure designed, the mathematical model of the MR landing gear system, and the control algorithm that was developed for aircraft landing gear applications. Results: According to the mathematical model of the MR damper, three types of models, which are pseudo-static models, parametric models, and unparameterized models, are detailed with their application. Based on these mathematical models, many control algorithms were studied, from classical control, such as PID and skyhook control, to modern control, such as intelligent control and SMC control. Full article
(This article belongs to the Section Machine Design and Theory)
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29 pages, 849 KB  
Review
A Review of Spacecraft Aeroassisted Orbit Transfer Approaches
by Lu Yang, Yawen Jiang, Wenhua Cheng, Jinyan Xue, Yasheng Zhang and Shuailong Zhao
Appl. Sci. 2026, 16(2), 573; https://doi.org/10.3390/app16020573 - 6 Jan 2026
Viewed by 622
Abstract
Aerodynamic manoeuvring technology for spacecraft actively utilizes aerodynamic forces to alter orbital trajectories. This approach not only substantially reduces propellant consumption but also expands the range of accessible orbits, representing a key technological pathway to address the demands of increasingly complex yet cost-effective [...] Read more.
Aerodynamic manoeuvring technology for spacecraft actively utilizes aerodynamic forces to alter orbital trajectories. This approach not only substantially reduces propellant consumption but also expands the range of accessible orbits, representing a key technological pathway to address the demands of increasingly complex yet cost-effective space missions. The theoretical prototype of this technology was proposed by Howard London. Over the course of more than half a century of development, it has evolved into four distinct modes: aeroglide, aerocruise, aerobang, and aerogravity assist. These modes have been engineered and applied in scenarios such as in-orbit manoeuvring of reusable vehicles, rapid response to space missions, and interplanetary exploration. Our research centers on two core domains: trajectory optimization and control guidance. Trajectory optimization employs numerical methods such as pseudo-spectral techniques and sequential convex optimization to achieve multi-objective optimization of fuel and time under constraints, including heat flux and overload. Control guidance focuses on standard orbital guidance and predictive correction guidance, progressively evolving into adaptive and robust control to address atmospheric uncertainties and the challenges of strong nonlinear coupling. Although breakthroughs have been achieved in deep-space exploration missions, critical challenges remain, including constructing high-fidelity models, enhancing real-time computational efficiency, ensuring the explainability of artificial intelligence methods, and designing integrated framework architectures. As these technical hurdles are progressively overcome, this technology will find broader engineering applications in diverse space missions such as lunar return and in-orbit servicing, driving continuous innovation in the field of space dynamics and control. Full article
(This article belongs to the Section Aerospace Science and Engineering)
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30 pages, 4820 KB  
Article
Cooperative Navigation Framework for UAV Formations Using LSTM and Dynamic Model Fusion
by Fujun Song, Qinghua Zeng, Xiaohu Zhu, Rui Zhang, Xiaoyu Ye and Huan Zhou
Drones 2026, 10(1), 28; https://doi.org/10.3390/drones10010028 - 4 Jan 2026
Viewed by 446
Abstract
In GNSS-denied environments, achieving accurate and reliable positioning for unmanned aerial vehicle (UAV) formations remains a major challenge. This paper presents a cooperative navigation framework for UAV formations based on LSTM and dynamic model information fusion to enhance formation navigation performance under GNSS-denial. [...] Read more.
In GNSS-denied environments, achieving accurate and reliable positioning for unmanned aerial vehicle (UAV) formations remains a major challenge. This paper presents a cooperative navigation framework for UAV formations based on LSTM and dynamic model information fusion to enhance formation navigation performance under GNSS-denial. The framework employs a dual-driven hierarchical architecture that integrates an LSTM-based dynamic state predictor with historical motion features, including velocity, acceleration, airflow angle, or thrust, thereby enhancing the robustness and positioning accuracy of the leader UAV layer. Furthermore, a multi-source optimal selection strategy based on consistency evaluation is developed to dynamically fuse pseudo-GNSS (P-GNSS), barometric altitude (BA), and wind-speed consistency information, optimizing node allocation between the leader and follower layers. In addition, an IMM-based resilient fusion filtering algorithm is introduced for the follower UAV layer, incorporating UWB, wind-speed, and external-force estimations to maintain reliable navigation under UWB outages and leader-node degradation. Experimental results demonstrate that the proposed framework significantly improves positioning accuracy and formation stability, exhibiting strong adaptability in complex GNSS-denied environments. Full article
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25 pages, 6501 KB  
Article
Automated Detection of Submerged Sandbar Crest Using Sentinel-2 Imagery
by Benjamí Calvillo, Eva Pavo-Fernández, Manel Grifoll and Vicente Gracia
Remote Sens. 2026, 18(1), 132; https://doi.org/10.3390/rs18010132 - 30 Dec 2025
Viewed by 646
Abstract
Coastal sandbars play a crucial role in shoreline protection, yet monitoring their dynamics remains challenging due to the cost and limited temporal coverage of traditional surveys. This study assesses the feasibility of using Sentinel-2 multispectral imagery combined with the logarithmic band ratio method [...] Read more.
Coastal sandbars play a crucial role in shoreline protection, yet monitoring their dynamics remains challenging due to the cost and limited temporal coverage of traditional surveys. This study assesses the feasibility of using Sentinel-2 multispectral imagery combined with the logarithmic band ratio method to automatically detect submerged sandbar crests along three morphologically distinct beaches on the northwestern Mediterranean coast. Pseudo-bathymetry was derived from log-transformed band ratios of blue-green and blue-red reflectance used to extract the sandbar crest and validated against high-resolution in situ bathymetry. The blue-green band ratio achieved higher accuracy than the blue-red band ratio, which performed slightly better in very shallow waters. Its application across single, single/double, and double shore-parallel bar systems demonstrated the robustness and transferability of the approach. However, the method requires relatively clear or calm water conditions, and breaking-wave foam, sunglint, or cloud cover conditions limit the number of usable satellite images. A temporal analysis at a dissipative beach further revealed coherent bar migration patterns associated with storm events, consistent with observed hydrodynamic forcing. The proposed method is cost-free, computationally efficient, and broadly applicable for large-scale and long-term sandbar monitoring where optical water clarity permits. Its simplicity enables integration into coastal management frameworks, supporting sediment-budget assessment and resilience evaluation in data-limited regions. Full article
(This article belongs to the Section Ocean Remote Sensing)
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15 pages, 2654 KB  
Article
Hydroxypropyl-β-Cyclodextrin Improves Removal of Polycyclic Aromatic Hydrocarbons by Fe3O4 Nanocomposites
by Wenhui Ping, Juan Yang, Xiaohong Cheng, Weibing Zhang, Yilan Shi and Qinghua Yang
Magnetochemistry 2026, 12(1), 4; https://doi.org/10.3390/magnetochemistry12010004 - 26 Dec 2025
Viewed by 396
Abstract
The contamination of water bodies by polycyclic aromatic hydrocarbons (PAHs) poses a significant concern for the ecological systems, along with public health. Magnetic adsorption stands out as a green and practical solution for treating polluted water. To make the process more efficient and [...] Read more.
The contamination of water bodies by polycyclic aromatic hydrocarbons (PAHs) poses a significant concern for the ecological systems, along with public health. Magnetic adsorption stands out as a green and practical solution for treating polluted water. To make the process more efficient and economical, it is important to create materials that not only absorb contaminants effectively but also allow for easy recovery and reuse. This study proposes a simple yet effective method for coating Fe3O4 nanoparticles with hydroxypropyl-β-cyclodextrin polymer (HP-β-CDCP). The physicochemical properties of the synthesized sorbent were characterized using a transmission electron microscope (TEM), Fourier-transform infrared spectroscopy (FT-IR), X-ray diffraction (XRD), and Vibrating Sample Magnetometer (VSM) analysis. The adsorption performance of HP-β-CDCP/Fe3O4 nanoparticles was well-described by the pseudo-second-order kinetic model, thermodynamic analysis, and the Freundlich isotherm model, indicating multiple interaction mechanisms with PAHs, such as π–π interactions, hydrogen bonding, and van der Waals forces. Using HP-β-CDCP/Fe3O4 nanoparticles as the adsorbent, the purification rates for the fifteen representative PAHs were achieved within the range of 33.9–93.1%, compared to 15.3–64.8% of the unmodified Fe3O4 nanoparticles. The adsorption of all studied PAHs onto HP-β-CDCP/Fe3O4 nanocomposites was governed by pH, time, and temperature. Equilibrium in the uptake mechanism was obtained within 15 min, with the largest adsorption capacities for PAHs in competitive adsorption mode being 6.46–19.0 mg·g−1 at 20 °C, pH 7.0. This study points to the practical value of incorporating cyclodextrins into tailored polymer frameworks for improving the removal of PAHs from polluted water. Full article
(This article belongs to the Special Issue Applications of Magnetic Materials in Water Treatment—2nd Edition)
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36 pages, 4699 KB  
Article
On a Pseudo-Orthogonality Condition Related to Cyclic Self-Mappings in Metric Spaces and Some of Their Relevant Properties
by Manuel De la Sen and Asier Ibeas
Mathematics 2026, 14(1), 36; https://doi.org/10.3390/math14010036 - 22 Dec 2025
Viewed by 354
Abstract
This paper relies on orthogonal metric spaces related to cyclic self-mappings and some of their relevant properties. The involved binary relation is not symmetric, and then the term pseudo-orthogonality will be used for the relation used in the article to address the established [...] Read more.
This paper relies on orthogonal metric spaces related to cyclic self-mappings and some of their relevant properties. The involved binary relation is not symmetric, and then the term pseudo-orthogonality will be used for the relation used in the article to address the established results on cyclic self-mappings. Firstly, some orthogonal binary relations are given through examples to fix some ideas to be followed in the main body of the article. It is seen that the orthogonal elements of the orthogonal sets are not necessarily singletons. Secondly, “ad hoc” specific orthogonality binary relations are also described through examples related to the investigation of stability and controllability problems in dynamic systems. The main objective of this paper is to investigate the properties of cyclic single-valued self-mappings on the union of any finite number p2 of nonempty closed subsets of a metric space in a cyclic disposal under an “ad hoc” defined pseudo-orthogonality condition. Such a condition is defined on certain subsequences, referred to as pseudo-orthogonal sequences, rather than on the whole generated sequences under the self-mapping. It basically consists of a cyclic, in general iteration-dependent, contractive condition just for such subsequences which, on the other hand, are not forced as a constraint to be fulfilled by the whole sequences. Furthermore, the whole sequences in which those sequences are contained are allowed to be locally non-contractive or even locally expansive. The boundedness and the convergence properties of distances between pseudo-orthogonal subsequences and sequences are investigated under the condition that one of the subsets has a unique best proximity point to its adjacent subset in the cyclic disposal to which the pseudo-orthogonal subsequences converge. The pseudo-orthogonal metric subspace of the given metric space is proved to be complete although the whole metric space is not assumed to be complete. The pseudo-orthogonal element is seen to be a set of best proximity points, one per subset of the cyclic disposal, although it is not required for all the best proximity sets to be singletons. It is proved that the pseudo-orthogonal subsequences converge to a limit cycle, consisting of a best proximity point per subset of the cyclic disposal, which is also the pseudo-orthogonal element. The whole sequences are also proved to be bounded and the distances between their elements in adjacent subsets are also proved to converge to the distance between adjacent subsets. In the event that the metric space is a uniformly convex Banach space, it suffices that one of the subsets of the cyclic disposal be boundedly compact with its best proximity set being a singleton. In this case, the pseudo-orthogonal sequences converge to their best proximity set to their adjacent subset provided that such a best proximity set is a singleton. Full article
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18 pages, 6020 KB  
Article
Stability Analysis Approach to Block Toppling in Rock Slopes Under Seismic Loads
by Kai Fan, Caihua Liu and Chaoyi Sun
Appl. Sci. 2026, 16(1), 22; https://doi.org/10.3390/app16010022 - 19 Dec 2025
Cited by 1 | Viewed by 383
Abstract
Rock slope toppling failure is a typical type of slope disaster. It is crucial for engineering practice to quickly and accurately evaluate the toppling stability of rock slopes under seismic loads. Based on Liu’s pseudo-continuous medium method, the geomechanical model for evaluating the [...] Read more.
Rock slope toppling failure is a typical type of slope disaster. It is crucial for engineering practice to quickly and accurately evaluate the toppling stability of rock slopes under seismic loads. Based on Liu’s pseudo-continuous medium method, the geomechanical model for evaluating the stability of rock slope block toppling subjected to seismic loads, considering non-orthogonal characteristics of the structural planes, is established, and the analytical solution for toppling failure is proposed. The relationship between the normal and shear stresses acting at the block base is discussed, and the formula for determining the location of the failure mode transition point in different cases is deduced. Through programmed analysis, the impact of the seismic load on slope stability and the influence of key parameters on the critical seismic influence coefficient are systematically investigated. The research results indicate that the seismic load has a significant impact on slope stability. With increases in the seismic influence coefficient, or decreases in the angle between the seismic load and the horizontal plane, the supporting force required for slope stability increases, and the transition point from toppling to sliding moves towards the slope toe. It is also shown that, when the seismic influence coefficient reaches the critical value, the slope will slide as a whole without toppling. The value of the critical seismic influence coefficient is positively correlated with the internal friction angle of the block base, and negatively correlated with the direction of the seismic load, the internal friction angle of the block side and the dip angle of the block base. This study provides theoretical support for evaluating the block toppling stability of slopes in seismic-prone areas. Full article
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