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20 pages, 3687 KiB  
Article
Towards a Comprehensive Framework for Made-to-Measure Alginate Scaffolds for Tissue Engineering Using Numerical Simulation
by Alexander Bäumchen, Johnn Majd Balsters, Beate-Sophie Nenninger, Stefan Diebels, Heiko Zimmermann, Michael Roland and Michael M. Gepp
Gels 2025, 11(3), 185; https://doi.org/10.3390/gels11030185 (registering DOI) - 7 Mar 2025
Abstract
Alginate hydrogels are integral to many cell-based models in tissue engineering and regenerative medicine. As a natural biomaterial, the properties of alginates can vary and be widely adjusted through the gelation process, making them versatile additives or bulk materials for scaffolds, microcarriers or [...] Read more.
Alginate hydrogels are integral to many cell-based models in tissue engineering and regenerative medicine. As a natural biomaterial, the properties of alginates can vary and be widely adjusted through the gelation process, making them versatile additives or bulk materials for scaffolds, microcarriers or encapsulation matrices in tissue engineering and regenerative medicine. The requirements for alginates used in biomedical applications differ significantly from those for technical applications. Particularly, the generation of novel niches for stem cells requires reliable and predictable properties of the resulting hydrogel. Ultra-high viscosity (UHV) alginates possess alginates with special physicochemical properties, and thus far, numerical simulations for the gelation process are currently lacking but highly relevant for future designs of stem cell niches and cell-based models. In this article, the gelation of UHV alginates is studied using a microscopic approach for disc- and sphere-shaped hydrogels. Based on the collected data, a multiphase continuum model was implemented to describe the cross-linking process of UHV alginate polysaccharides. The model utilizes four coupled kinetic equations based on mixture theory, which are solved using finite element software. A good agreement between simulation results and experimental data was found, establishing a foundation for future refinements in the development of an interactive tool for cell biologists and material scientists. Full article
(This article belongs to the Special Issue Recent Research on Alginate Hydrogels in Bioengineering Applications)
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Graphical abstract

Graphical abstract
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<p>Time-lapse sequence of alginate gelation with different concentrations of cross-linking agents. (<b>a</b>) 10 mM BaCl<sub>2</sub> solution, (<b>b</b>) 20 mM BaCl<sub>2</sub> solution and (<b>c</b>) 40 mM BaCl<sub>2</sub> solution. The gelation kinetics of the alginate are derived from the course of the traveling gelled/liquid interface. Due to low contrast, dashed white lines are used to indicate segments of the gelled/liquid interface. Scale bar indicates 1000 μm. Images are enhanced using a bandpass filter in ImageJ.</p>
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<p>Analysis of the gelation process of alginate discs. (<b>a</b>) Gelation kinetics analyzed by the decreasing diameter of the gelation front. The kinetics of gelation depend strongly on the applied cross-linker concentration: the higher the BaCl<sub>2</sub> concentration, the faster the overall gelation of the alginate droplet. (<b>b</b>) Velocity of the gelation front of alginates. Doubling the cross-linker concentration leads to a linear increase in gelation velocity. The velocity of gelation in this work is defined as the reduction of the ungelled core and is negative. Data are expressed as mean value ± standard deviation (n = 5 gelation experiments). Standard deviation in (<b>a</b>) is shown as a ribbon for visualization purposes.</p>
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<p>Analysis of the alginate gelation process of alginate spheres (beads, microcarriers). Gelation kinetics were analyzed by the decreasing diameter of the gelation front. The kinetics of gelation depend strongly on the applied cross-linker concentration: the higher the BaCl<sub>2</sub> concentration, the faster the overall gelation of the alginate droplet. (<b>a</b>) Single gelation experiments using 10 mM BaCl<sub>2</sub> solution; (<b>b</b>) single gelation experiments using 20 mM BaCl<sub>2</sub> solution; (<b>c</b>) single gelation experiments using 40 mM BaCl<sub>2</sub> solution; (<b>d</b>) the velocity of gelation front of alginates from (<b>a</b>) to (<b>c</b>) extracted by linear curve fitting. The velocity of gelation in this work is defined as the reduction of the ungelled core and is negative. Doubling the cross-linker concentration leads to a linear increase in gelation velocity. Data colors in (<b>a</b>–<b>c</b>) refer to different gelation experiments. Data in (<b>d</b>) are expressed as mean values ± standard deviation (n = 5 gelation experiments).</p>
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<p>Alginate micro-layer formation during gelation. (<b>a</b>) <b>Top</b>: Microscopic image of the formed layer at the outer border of the alginate disc; scale bar: 200 µm. Inset: Lower magnification of the area indicated by the black dashed line. Black arrow: Line scan of intensity in the graph. <b>Bottom</b>: The graph illustrates the data from the line scan of intensity. (<b>b</b>) Schematic illustration of layer formation in alginate disc-like hydrogels (adapted from [<a href="#B52-gels-11-00185" class="html-bibr">52</a>]; created with BioRender.com).</p>
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<p>Time-lapse of alginate gelation simulation with different concentration boundary conditions of the cross-linking agent. The left half of each time point shows the visualization of the numerical model, while the right half shows the microscopic image of one experimental replicate. (<b>a</b>) 10 mM BaCl<sub>2</sub> solution, (<b>b</b>) 20 mM BaCl<sub>2</sub> solution and (<b>c</b>) 40 mM BaCl<sub>2</sub> solution. Brighter areas indicate a higher amount of the ongoing gelling reaction. Scale bar indicates 1000 µm.</p>
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<p>Comparison of experimental data (solid line) and numerical modeling (dotted lines).</p>
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<p>Setup and principle of observing the gelation process. (<b>a</b>) A thin disc-like volume of alginate is poured into a dish and covered by a thin silicone spacer for gelation with different BaCl<sub>2</sub> solutions. This process can be observed using phase contrast microscopy, and a concentric decrease in the traveling liquid/gelled interface can be tracked and used for the quantification of the gelation process. (<b>b</b>) Schematic drawing at two different time points of alginate gelation. The disc-like volume of alginate is surrounded by the BaCl<sub>2</sub> cross-linker solutions and, consequently, barium (and chloride) ions diffuse into the alginate sol, triggering the gelation that can be tracked by the traveling liquid/gelled interface over time. The diameters of the circular interfaces decrease over time and disappear after the complete gelation of the alginate discs. (<b>b</b>) generated with BioRender.com.</p>
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<p>(<b>a</b>) Representative volume filled with the free polymer, barium ions and cross-linked polymer (and water). (<b>b</b>) Macroscopic domain and RVE as a magnification of a spatial point. The mass of constituent φ<sup>α</sup> inside the RVE changes due to the flux over the boundary and the mass exchange. Created with BioRender.com.</p>
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32 pages, 2592 KiB  
Article
Occupational Success Across the Lifespan: On the Differential Importance of Childhood Intelligence, Social Background, and Education Across Occupational Development
by Georg Karl Deutschmann, Michael Becker and Yi-Jhen Wu
J. Intell. 2025, 13(3), 32; https://doi.org/10.3390/jintelligence13030032 - 6 Mar 2025
Abstract
What shapes (occupational) success in later life? This study examines the differential importance of intelligence in late childhood, socioeconomic background, and education across later occupations. The quantity and quality of educational success are thought to mediate the other dimensions. We analyzed data from [...] Read more.
What shapes (occupational) success in later life? This study examines the differential importance of intelligence in late childhood, socioeconomic background, and education across later occupations. The quantity and quality of educational success are thought to mediate the other dimensions. We analyzed data from N = 4387 participants in a German longitudinal large-scale study in multiple regression and mediation models to examine how childhood intelligence and socioeconomic background predict income and occupational status at different career stages. Both childhood intelligence and socioeconomic background predict status and income in adulthood, with childhood intelligence being the stronger predictor. However, education is an even stronger predictor and—once included in the model—mediates virtually all effects of childhood intelligence and socioeconomic background. This pattern remains stable across career stages, and education has unique effects on income and occupational status in later work life, even when controlling for work experience. Our results emphasize the pivotal role of education in transitioning to the labor market and further development at work, even at later career stages. Given the stronger link between childhood intelligence and educational success in Germany than in other countries, we find that Germany is one of the more intelligence-driven systems. Full article
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<p>Regression of income and occupational status on childhood intelligence and socioeconomic background. IQ = late childhood intelligence. SEB = socioeconomic background. Income = monthly gross income, logarithmized. Occ. status = occupational status, coded according to the ISEI Index.</p>
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<p>Regression of income and occupational status on childhood intelligence and socioeconomic background, mediated by education. IQ = late childhood intelligence. SEB = socioeconomic background. Education years (CASMIN) = general and vocational education years, weighted according to CASMIN. GPA: general education = grade point average of highest certificate in general education. GPA: vocational education = grade point average of highest certificate in vocational education. Income = monthly gross income, logarithmized. Occ. status = occupational status, coded according to ISEI-Index.</p>
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<p>Regression of income and occupational status on childhood intelligence and socioeconomic background, mediated by education, autoregressive paths. IQ = late childhood intelligence. SEB = socioeconomic background. Education years (CASMIN) = general and vocational education years, weighted according to CASMIN. GPA: general education = grade point average of highest certificate in general education. GPA: vocational education = grade point average of highest certificate in vocational education. Income = monthly gross income, logarithmized. Occ. status = occupational status, coded according to ISEI-Index.</p>
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12 pages, 2217 KiB  
Article
Improved Prediction of Elastic Modulus for Carbon-Based Aerogels Using Power-Scaling Model
by Cheng Bi, Mingyang Yang, Xu Yang, Ke Yun, Yuan Lu, Ying Zhang, Jie Zheng and Mu Du
Gels 2025, 11(3), 184; https://doi.org/10.3390/gels11030184 - 6 Mar 2025
Abstract
The mechanical stability of carbon aerogels, particularly their thermal insulation performance, is closely linked to their elastic modulus. This property plays a crucial role in determining the material’s overall mechanical stability. The objective of this study is to enhance the accuracy of elastic [...] Read more.
The mechanical stability of carbon aerogels, particularly their thermal insulation performance, is closely linked to their elastic modulus. This property plays a crucial role in determining the material’s overall mechanical stability. The objective of this study is to enhance the accuracy of elastic modulus predictions for carbon aerogels using a power-scaling model. By setting the prefactor of the Gibson and Ashby equation to 1.0, accurate predictions of the elastic modulus can be achieved if the correct scaling exponent is determined. Twelve sets of experimental data were used to fit the power-scaling model, revealing that the scaling exponent for the elastic modulus of carbon aerogels typically falls between 2.2 and 3.0. This range is narrower than the 2.0 to 4.0 range reported in the literature, with a median value of 2.6 providing reliable predictions. Additionally, a relationship between the solid thermal conductivity and the elastic modulus of carbon aerogels was established using a thermal conduction model. The study also examined the elastic modulus of carbon nanotube and graphene aerogels—both allotropes of carbon aerogel. By fitting experimental data into the power-scaling model, the scaling exponents for carbon nanotube aerogels and graphene aerogels were found to range from 2.7 to 3.5 and 2.7 to 3.7, respectively. Median exponent values of 3.1 and 3.2 were identified as optimal for predicting the elastic moduli of carbon nanotube and graphene aerogels. Full article
(This article belongs to the Special Issue Recent Advances in Aerogels and Aerogel Composites)
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Graphical abstract

Graphical abstract
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<p>Validation of the thermal conduction model of the elastic modulus of Equation (5). (<b>a</b>) Thermal conductivity as the input parameters. (<b>b</b>) Elastic modulus as the results (room temperature).</p>
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<p>Validation of the thermal conduction model of elastic modulus of Equation (4). (<b>a</b>) Elastic modulus as the input parameter. (<b>b</b>) Solid thermal conductivity as the results (room temperature).</p>
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<p>Elastic modulus of carbon aerogels converted from experimental thermal conductivity. (<b>a</b>) Thermal conductivity. (<b>b</b>) Elastic modulus.</p>
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<p>Experimental elastic modulus of carbon aerogel.</p>
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<p>Elastic modulus of carbon-based aerogel.</p>
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<p>Elastic modulus of CNTA and GA. (<b>a</b>) CNTA. (<b>b</b>) GA.</p>
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18 pages, 5833 KiB  
Article
Comparison of Guide to Expression of Uncertainty in Measurement and Monte Carlo Method for Evaluating Gauge Factor Calibration Test Uncertainty of High-Temperature Wire Strain Gauge
by Yazhi Zhao, Fengling Zhang, Yanting Ai, Jing Tian and Zhi Wang
Sensors 2025, 25(5), 1633; https://doi.org/10.3390/s25051633 - 6 Mar 2025
Abstract
High-temperature strain gauges are widely used in the strain monitoring of the hot-end components of aero-engines. In the application of strain gauges, the calibration of the gauge factor (GF) is the most critical link. Evaluating the uncertainty of GF [...] Read more.
High-temperature strain gauges are widely used in the strain monitoring of the hot-end components of aero-engines. In the application of strain gauges, the calibration of the gauge factor (GF) is the most critical link. Evaluating the uncertainty of GF is of great significance to the accuracy analysis of measurement results. Firstly, the calibration test of the GF of the Pt-W high-temperature strain gauge was carried out in the range of 25 °C to 900 °C. The real test data required for the uncertainty evaluation were obtained. Secondly, the guide to the expression of uncertainty in measurement (GUM) and the Monte Carlo method (MCM) were used to evaluate the uncertainty of GF calibration test. The evaluation results of GUM and MCM were compared. Finally, the concept of the weight coefficient W was proposed to quantitatively analyze the influence of each input on the uncertainty of the output GF. The main uncertainty source was found, which had important engineering practical significance. The results show that the mean value of GF decreases with the increase in temperature nonlinearly. At 25 °C, GF is 3.29, and at 900 °C, GF decreases to 1.6. Through comparison and verification, the uncertainty interval given by MCM is closer to the real situation. MCM is superior to GUM, which only uses prior information for uncertainty assessment. MCM is more suitable for evaluating GF uncertainty. Among multiple uncertain sources, the weight coefficient W can effectively analyze Δε as the main uncertain source. Full article
(This article belongs to the Special Issue Sensors for High Temperature Monitoring)
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Figure 1
<p><span class="html-italic">GF</span> calibration test device schematic.</p>
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<p>Schematic diagram of MCM distribution propagation.</p>
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<p>Schematic diagram of test system.</p>
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<p>The relationship between the measured value of the strain gauge and the deflection.</p>
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<p><span class="html-italic">GF</span> of strain gauges at different temperatures.</p>
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<p>Uncertainty interval and dispersion of <math display="inline"><semantics> <mrow> <mi>G</mi> <mi>F</mi> </mrow> </semantics></math> obtained by GUM.</p>
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<p>Frequency distribution histogram of variables for MCM.</p>
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<p>The <math display="inline"><semantics> <mrow> <mi>G</mi> <mi>F</mi> </mrow> </semantics></math> probability distribution by MCM calculates.</p>
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<p>Uncertainty interval and dispersion of <math display="inline"><semantics> <mrow> <mi>G</mi> <mi>F</mi> </mrow> </semantics></math> obtained by MCM.</p>
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<p>Uncertainty interval obtained by GUM and <math display="inline"><semantics> <mrow> <mi>G</mi> <mi>F</mi> </mrow> </semantics></math> of each strain gauge.</p>
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<p>Uncertainty interval obtained by MCM and <math display="inline"><semantics> <mrow> <mi>G</mi> <mi>F</mi> </mrow> </semantics></math> of each strain gauge.</p>
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<p>Endpoint deviation value of the interval.</p>
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<p>The sensitivity of <math display="inline"><semantics> <mrow> <mi>G</mi> <mi>F</mi> </mrow> </semantics></math> to the design variables.</p>
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<p>The influence of the uncertainty of each factor on <math display="inline"><semantics> <mrow> <mi>U</mi> <mo stretchy="false">(</mo> <mi>G</mi> <mi>F</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>.</p>
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<p>The influence of distribution of <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>ε</mi> </mrow> </semantics></math> on distribution of <math display="inline"><semantics> <mrow> <mi>G</mi> <mi>F</mi> </mrow> </semantics></math>.</p>
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<p>The influence of the distribution of <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>ε</mi> </mrow> </semantics></math> on the uncertainty of <math display="inline"><semantics> <mrow> <mi>G</mi> <mi>F</mi> </mrow> </semantics></math>.</p>
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<p>Weight coefficients of each input at different temperatures.</p>
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27 pages, 567 KiB  
Article
Financial and Technological Drivers of Sustainable Development: The Role of Communication Technology, Financial Efficiency and Education in BRICS
by Wang Xing and Ali Imran
Sustainability 2025, 17(5), 2326; https://doi.org/10.3390/su17052326 - 6 Mar 2025
Abstract
A clean environment enhances well-being and drives economic growth. BRICS nations aim to cut emissions while sustaining growth, aligning with global sustainability goals. Their strong economic progress underscores the need to explore the links between communication technology, financial efficiency, education, and renewable energy [...] Read more.
A clean environment enhances well-being and drives economic growth. BRICS nations aim to cut emissions while sustaining growth, aligning with global sustainability goals. Their strong economic progress underscores the need to explore the links between communication technology, financial efficiency, education, and renewable energy consumption (RENC). Therefore, to analyze these dynamics, this study examines data spanning from 1990 to 2020 using a rigorous methodological framework. Initially, model selection was guided by AIC and BIC criteria by ensuring optimal model fit. Furthermore, multicollinearity was assessed using the Variance Inflation Factor (VIF), while heteroscedasticity and autocorrelation issues were tested through the Breusch–Pagan Test and the Ljung–Box Test, respectively. Additionally, cross-sectional dependence (CSD) was checked, followed by stationarity analysis using the second-generation CIPS. The Westerlund Cointegration Test was employed to confirm long-run relationships. As a final preliminary test, the study uses the Hausman test for selection of the appropriate model specification. Subsequently, the PMG-ARDL approach was utilized to examine both short- and long-term dynamics. The findings reveal a significant negative relationship between RENC, Gross Domestic Product (GDP), and CO2 emissions. Conversely, RENC exhibits a strong positive association with education (EDUC), information and communication technology (IACT), the financial markets efficiency index (FMEI), and the financial institutions efficiency index (FIEI). Finally, the robustness of the PMG-ARDL results was validated through advanced techniques, including Fully Modified OLS (FMOLS) and the Generalized Method of Moments (GMM), reinforcing the reliability of the findings. The study offers valuable policy recommendations to support sustainable development in BRICS nations. Full article
22 pages, 3393 KiB  
Article
A Dynamic Spatio-Temporal Traffic Prediction Model Applicable to Low Earth Orbit Satellite Constellations
by Kexuan Liu, Yasheng Zhang and Shan Lu
Electronics 2025, 14(5), 1052; https://doi.org/10.3390/electronics14051052 - 6 Mar 2025
Abstract
Low Earth Orbit (LEO) constellations support the transmission of various communication services and have been widely applied in fields such as global Internet access, the Internet of Things, remote sensing monitoring, and emergency communication. With the surge in traffic volume, the quality of [...] Read more.
Low Earth Orbit (LEO) constellations support the transmission of various communication services and have been widely applied in fields such as global Internet access, the Internet of Things, remote sensing monitoring, and emergency communication. With the surge in traffic volume, the quality of user services has faced unprecedented challenges. Achieving accurate low Earth orbit constellation network traffic prediction can optimize resource allocation, enhance the performance of LEO constellation networks, reduce unnecessary costs in operation management, and enable the system to adapt to the development of future services. Ground networks often adopt methods such as machine learning (support vector machine, SVM) or deep learning (convolutional neural network, CNN; generative adversarial network, GAN) to predict future short- and long-term traffic information, aiming to optimize network performance and ensure service quality. However, these methods lack an understanding of the high-dynamics of LEO satellites and are not applicable to LEO constellations. Therefore, designing an intelligent traffic prediction model that can accurately predict multi-service scenarios in LEO constellations remains an unsolved challenge. In this paper, in light of the characteristics of high-dynamics and the high-frequency data streams of LEO constellation traffic, the authors propose a DST-LEO satellite-traffic prediction model (a dynamic spatio-temporal low Earth orbit satellite traffic prediction model). This model captures the implicit features among satellite nodes through multiple attention mechanism modules and processes the traffic volume and traffic connection/disconnection data of inter-satellite links via a multi-source data separation and fusion strategy, respectively. After splicing and fusing at a specific scale, the model performs prediction through the attention mechanism. The model proposed by the authors achieved a short-term prediction RMSE of 0.0028 and an MAE of 0.0018 on the Abilene dataset. For long-term prediction on the Abilene dataset, the RMSE was 0.0054 and the MAE was 0.0039. The RMSE of the short-term prediction on the dataset simulated by the internal low Earth orbit constellation business simulation system was 0.0034, and the MAE was 0.0026. For the long-term prediction, the RMSE reached 0.0029 and the MAE reached 0.0022. Compared with other time series prediction models, it decreased by 22.3% in terms of the mean squared error and 18.0% in terms of the mean absolute error. The authors validated the functions of each module within the model through ablation experiments and further analyzed the effectiveness of this model in the task of LEO constellation network traffic prediction. Full article
(This article belongs to the Special Issue Future Generation Non-Terrestrial Networks)
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<p>Schematic diagram of the communication services provided to users by LEO constellations.</p>
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<p>Topological relationship of LEO constellations.</p>
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<p>Flowchart architecture of the overall traffic prediction for LEO constellations.</p>
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<p>Schematic diagram of the data format for training.</p>
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<p>Schematic diagram of the network structure of the Abilene dataset.</p>
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<p>Structural diagram of the internal low earth orbit constellation service simulation system.</p>
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<p>Short-term prediction curve diagram of Link 1 in the Abilene dataset.</p>
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<p>Short-term prediction curve diagram of Link 1 in the Abilene dataset.</p>
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<p>Long-term prediction curve diagram of Link 7 in the Abilene dataset.</p>
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<p>The prediction curves of the DLS traffic prediction model for the long-term and short-term traffic in the internal LEO constellation service simulation system.</p>
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41 pages, 603 KiB  
Review
Edge and Cloud Computing in Smart Cities
by Maria Trigka and Elias Dritsas
Future Internet 2025, 17(3), 118; https://doi.org/10.3390/fi17030118 - 6 Mar 2025
Abstract
The evolution of smart cities is intrinsically linked to advancements in computing paradigms that support real-time data processing, intelligent decision-making, and efficient resource utilization. Edge and cloud computing have emerged as fundamental pillars that enable scalable, distributed, and latency-aware services in urban environments. [...] Read more.
The evolution of smart cities is intrinsically linked to advancements in computing paradigms that support real-time data processing, intelligent decision-making, and efficient resource utilization. Edge and cloud computing have emerged as fundamental pillars that enable scalable, distributed, and latency-aware services in urban environments. Cloud computing provides extensive computational capabilities and centralized data storage, whereas edge computing ensures localized processing to mitigate network congestion and latency. This survey presents an in-depth analysis of the integration of edge and cloud computing in smart cities, highlighting architectural frameworks, enabling technologies, application domains, and key research challenges. The study examines resource allocation strategies, real-time analytics, and security considerations, emphasizing the synergies and trade-offs between cloud and edge computing paradigms. The present survey also notes future directions that address critical challenges, paving the way for sustainable and intelligent urban development. Full article
(This article belongs to the Special Issue IoT, Edge, and Cloud Computing in Smart Cities)
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<p>An overview of surveyed key topics: edge and cloud computing in smart cities.</p>
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<p>Schematic representation of the three-tier architecture.</p>
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16 pages, 716 KiB  
Article
Efficient Graph Representation Learning by Non-Local Information Exchange
by Ziquan Wei, Tingting Dan, Jiaqi Ding and Guorong Wu
Electronics 2025, 14(5), 1047; https://doi.org/10.3390/electronics14051047 - 6 Mar 2025
Abstract
Graphs are an effective data structure for characterizing ubiquitous connections as well as evolving behaviors that emerge in inter-wined systems. Limited by the stereotype of node-to-node connections, learning node representations is often confined in a graph diffusion process where local information has been [...] Read more.
Graphs are an effective data structure for characterizing ubiquitous connections as well as evolving behaviors that emerge in inter-wined systems. Limited by the stereotype of node-to-node connections, learning node representations is often confined in a graph diffusion process where local information has been excessively aggregated, as the random walk of graph neural networks (GNN) explores far-reaching neighborhoods layer-by-layer. In this regard, tremendous efforts have been made to alleviate feature over-smoothing issues such that current backbones can lend themselves to be used in a deep network architecture. However, compared to designing a new GNN, less attention has been paid to underlying topology by graph re-wiring, which mitigates not only flaws of the random walk but also the over-smoothing risk incurred by reducing unnecessary diffusion in deep layers. Inspired by the notion of non-local mean techniques in the area of image processing, we propose a non-local information exchange mechanism by establishing an express connection to the distant node, instead of propagating information along the (possibly very long) original pathway node-after-node. Since the process of seeking express connections throughout a graph can be computationally expensive in real-world applications, we propose a re-wiring framework (coined the express messenger wrapper) to progressively incorporate express links in a non-local manner, which allows us to capture multi-scale features without using a very deep model; our approach is thus free of the over-smoothing challenge. We integrate our express messenger wrapper with existing GNN backbones (either using graph convolution or tokenized transformer) and achieve a new record on the Roman-empire dataset as well as in terms of SOTA performance on both homophilous and heterophilous datasets. Full article
(This article belongs to the Special Issue Artificial Intelligence in Graphics and Images)
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Figure 1
<p>The relationship between the expressibility of the original and 3 underlying topologies of graphs and modern GNN performance (in node classification accuracy). Different landmarks represent different datasets. Colors denote graph re-wiring methods. Red arrow lines highlight the improvement by our re-wiring method. Red box explains ours preduces an easier graph to classify via changing the topology as nodes with same class denoted by colored oval being more separated. Note that all re-wiring methods are applied with the same baseline hyperparameter.</p>
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<p>Non-local information exchange mechanism (<b>right</b>), where colors of node denote the distance marked by numbers between a node to the red one, nodes with mixed color denote aggregated node feature by message-passing, solid lines are edges of graph, and dashed lines denote express connections. The technique reminiscent of non-local mean technique for image processing (<b>left</b>), which is able to capture global information by express connections that are denoted by red dashed lines reducing the over-smoothing risk in GNNs. Both ideas integrate information beyond either a spatial or topological neighbor, in order to preserve distinctive feature representations.</p>
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<p>(<b>left</b>): Illustration of progressive NLE for simulated graph with original adjacency matrix <math display="inline"><semantics> <mi mathvariant="bold">A</mi> </semantics></math> to re-wired topology <math display="inline"><semantics> <mrow> <mi>h</mi> <mi>o</mi> <mi>p</mi> <mo>(</mo> <mi mathvariant="bold">A</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>⋯</mo> </mrow> </semantics></math>). (<b>right</b>): ExM sorts original graph and new graphs cascaded (C-ExM) or aggregated (A-ExM) to input to any GNN. Green arrow indicates the pipeline of an arbitrary GNN.</p>
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<p>Comparison of re-wiring methods between DropEdge, GDC, and our NLE. NLE can mitigate over-smoothing issues. Compared with previous graph re-wiring methods, over-smoothness is delayed after using NLE. Even though G2GNN or using skip connection almost eliminated smoothed node features, using NLE leads to a larger Dirichlet energy than the original graph topology.</p>
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<p>Bar plots of performance by using different layer numbers on real data.</p>
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35 pages, 7938 KiB  
Article
Network Geometry of Borsa Istanbul: Analyzing Sectoral Dynamics with Forman–Ricci Curvature
by Ömer Akgüller, Mehmet Ali Balcı, Larissa Margareta Batrancea and Lucian Gaban
Entropy 2025, 27(3), 271; https://doi.org/10.3390/e27030271 - 5 Mar 2025
Viewed by 119
Abstract
This study investigates the dynamic interdependencies among key sectors of Borsa Istanbul—industrial, services, technology, banking, and electricity—using a novel network-geometric framework. Daily closure prices from 2022 to 2024 are transformed into logarithmic returns and analyzed via a sliding window approach. In each window, [...] Read more.
This study investigates the dynamic interdependencies among key sectors of Borsa Istanbul—industrial, services, technology, banking, and electricity—using a novel network-geometric framework. Daily closure prices from 2022 to 2024 are transformed into logarithmic returns and analyzed via a sliding window approach. In each window, mutual information is computed to construct weighted networks that are filtered using Triangulated Maximally Filtered Graphs (TMFG) to isolate the most significant links. Forman–Ricci curvature is then calculated at the node level, and entropy measures over k-neighborhoods (k=1,2,3) capture the complexity of both local and global network structures. Cross-correlation, Granger causality, and transfer entropy analyses reveal that sector responses to macroeconomic shocks—such as inflation surges, interest rate hikes, and currency depreciation—vary considerably. The services sector emerges as a critical intermediary, transmitting shocks between the banking and both the industrial and technology sectors, while the electricity sector displays robust, stable interconnections. These findings demonstrate that curvature-based metrics capture nuanced network characteristics beyond traditional measures. Future work could incorporate high-frequency data to capture finer interactions and empirically compare curvature metrics with conventional indicators. Full article
(This article belongs to the Special Issue Entropy-Based Applications in Sociophysics II)
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XUSIN sector across quartiles.</p>
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XELKT sector across quartiles.</p>
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XUHIZ sector across quartiles.</p>
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XUTEK sector across quartiles.</p>
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XBANK sector across quartiles.</p>
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<p>Cross-correlation analysis with lag of Forman–Ricci curvature entropies for <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> between sectors.</p>
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<p>Cross-correlation analysis with a lag of Forman–Ricci curvature entropies for <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> between sectors.</p>
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<p>Cross-correlation analysis with lag of Forman–Ricci curvature entropies for <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math> between sectors.</p>
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30 pages, 2413 KiB  
Review
Reviewing a Model of Metacognition for Application in Cognitive Architecture Design
by Teodor Ukov and Georgi Tsochev
Systems 2025, 13(3), 177; https://doi.org/10.3390/systems13030177 - 5 Mar 2025
Viewed by 217
Abstract
This systematic review answers questions about whether or not a model of metacognition is well accepted and if it can be used in cognitive architecture design. Self-planning, self-monitoring, and self-evaluation are the model concepts, which are viewed as metacognitive experiences. A newly formulated [...] Read more.
This systematic review answers questions about whether or not a model of metacognition is well accepted and if it can be used in cognitive architecture design. Self-planning, self-monitoring, and self-evaluation are the model concepts, which are viewed as metacognitive experiences. A newly formulated theoretical approach named Attention as Action was targeted, as it is shown to be used in cognitive architecture design. In order to link the model to the theoretical approach, specific concepts like mental imagery and learning experience were researched. The method includes the statistical analysis of key phrases in articles that were collected based on a system of criteria. Data were retrieved from 91 scientific papers to allow statistical analysis of the relationship between the model of metacognition and the theoretical approach to cognitive architecture design. Several observations from the data show that the model is applicable for designing cognitive monitoring systems that depict experiences of metacognition. Furthermore, the results point out that the researched fields require explanations about the concepts defined in the theoretical approach of Attention as Action. Systematically formulated as types of internal attentional experiences, new relations are provided for researching cognitive and metacognitive concepts in terms of the cognitive cycle. Full article
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<p>Conceptual model that represents the theoretical idea for achieving the cognitive architecture design.</p>
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<p>Internal decision–making in terms of the cognitive cycle. The acronym AUP stands for automatic unconscious process.</p>
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<p>Basal guidelines for cognitive architecture design with the Attention as Action approach. Acronyms: AUP—automatic unconscious process; IA—internal action.</p>
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<p>Area chart showing how the reported articles are distributed in terms of publication year.</p>
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<p>These pie charts present the percentages of the occurrences of the model concept tokens: (<b>a</b>) general model keywords; (<b>b</b>) specific concepts that most exactly define the model.</p>
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<p>Pie chart of number of articles classified by the categorical variables.</p>
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<p>This graph shows how many of the linking concepts appear in articles that have the model occurrence phenomenon (the three model concepts mentioned together in a phrase). The abbreviation MOP corresponds to model occurrence phenomenon.</p>
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<p>General model of internal attention (GIMA). Abbreviations: IA: internal action; AUP: automatic unconscious process; SISI: stream of incoming sensory information; PAM: perceptual associative memory; and SMM: sensory motor memory.</p>
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<p>The GIMA model as a weighted bidirected graph. The twenty-eight weights are denominated with numbers between the internal action states.</p>
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<p>Design of a user interface applicable in a digital information system for critical decision-making that applies cognitive prompting via the GIMA model.</p>
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14 pages, 6384 KiB  
Article
Parallel CUDA-Based Optimization of the Intersection Calculation Process in the Greiner–Hormann Algorithm
by Jiwei Zuo, Junfu Fan, Kuan Li, Qingyun Liu, Yuke Zhou and Yi Zhang
Algorithms 2025, 18(3), 147; https://doi.org/10.3390/a18030147 - 5 Mar 2025
Viewed by 54
Abstract
The Greiner–Hormann algorithm is a commonly used polygon overlay analysis algorithm. It uses a double-linked list structure to store vertex data, and its intersection calculation step has a significant effect on the overall operating efficiency of the algorithm. To address the time-consuming intersection [...] Read more.
The Greiner–Hormann algorithm is a commonly used polygon overlay analysis algorithm. It uses a double-linked list structure to store vertex data, and its intersection calculation step has a significant effect on the overall operating efficiency of the algorithm. To address the time-consuming intersection calculation process in the Greiner–Hormann algorithm, this paper presents two kernel functions that implement a GPU parallel improvement algorithm based on CUDA multi-threading. This method allocates a thread to each edge of the subject polygon, determines in parallel whether it intersects with each edge of the clipping polygon, transfers the number of intersection points back to the CPU for calculation, and opens up corresponding storage space on the GPU side on the basis of the total number of intersection points; then, information such as intersection coordinates is calculated in parallel. In addition, experiments are conducted on the data of eight polygons with different complexities, and the optimal thread mode, running time, and speedup ratio of the parallel algorithm are statistically analyzed. The experimental results show that when a single CUDA thread block contains 64 threads or 128 threads, the parallel transformation step of the Greiner–Hormann algorithm has the highest computational efficiency. When the complexity of the subject polygon exceeds 53,000, the parallel improvement algorithm can obtain a speedup ratio of approximately three times that of the serial algorithm. This shows that the design method in this paper can effectively improve the operating efficiency of the polygon overlay analysis algorithm in the current large-scale data context. Full article
(This article belongs to the Collection Parallel and Distributed Computing: Algorithms and Applications)
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<p>Experimental data. (<b>a</b>) Chinese land use patch data. (<b>b</b>) Clipping polygon. (<b>c</b>) Subject polygon.</p>
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<p>Greiner–Hormann algorithm.</p>
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<p>Greiner–Hormann algorithm time consumption statistics.</p>
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<p>GPU parallel optimization of the Greiner–Hormann algorithm.</p>
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<p>Runtime of the Greiner–Hormann algorithm in different thread modes with different datasets.</p>
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<p>Parallel algorithm acceleration analysis for different datasets.</p>
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16 pages, 13435 KiB  
Article
Evidence for Genetic Causal Association Between the Gut Microbiome, Derived Metabolites, and Age-Related Macular Degeneration: A Mediation Mendelian Randomization Analysis
by Pinghui Wei, Shan Gao and Guoge Han
Biomedicines 2025, 13(3), 639; https://doi.org/10.3390/biomedicines13030639 - 5 Mar 2025
Viewed by 207
Abstract
Background/Objectives: Despite substantial research, the causal relationships between gut microbiota (GM) and age-related macular degeneration (AMD) remain unclear. We aimed to explore these causal associations using Mendelian randomization (MR) and elucidate the potential mechanisms mediated by blood metabolites. Methods: We utilized [...] Read more.
Background/Objectives: Despite substantial research, the causal relationships between gut microbiota (GM) and age-related macular degeneration (AMD) remain unclear. We aimed to explore these causal associations using Mendelian randomization (MR) and elucidate the potential mechanisms mediated by blood metabolites. Methods: We utilized the 211 GM dataset (n = 18,340) provided by the MiBioGen consortium. AMD outcome data were sourced from the MRC Integrated Epidemiology Unit (IEU) OpenGWAS Project. We performed bidirectional MR, two mediation analyses, and two-step MR to assess the causal links between GM and different stages of AMD (early, dry, and wet). Results: Our findings indicate that the Bacteroidales S24.7 group and genus Dorea are associated with an increased risk of early AMD, while Ruminococcaceae UCG011 and Parasutterella are linked to a higher risk of dry AMD. Conversely, Lachnospiraceae UCG004 and Anaerotruncus are protective against dry AMD. In the case of wet AMD, Intestinimonas and Sellimonas increase risk, whereas Anaerotruncus and Rikenellaceae RC9 reduce it. Additionally, various blood metabolites were implicated: valine, arabinose, creatine, lysine, alanine, and apolipoprotein A1 were associated with early AMD; glutamine and hyodeoxycholate—with a reduced risk of dry AMD; and androsterone sulfate, epiandrosterone sulfate, and lipopolysaccharide—with a reduced risk of wet AMD. Notably, the association between family Oxalobacteraceae and early AMD was mediated by valine, accounting for 19.1% of the association. Conclusions: This study establishes causal links between specific gut microbiota and AMD, mediated by blood metabolites, thereby enhancing our understanding of the gut–retina axis in AMD pathophysiology. Full article
(This article belongs to the Collection Feature Papers in Microbiology in Human Health and Disease)
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<p>Overview of the Mendelian randomization (MR) framework used to investigate the causal effect of the gut microbiota, blood metabolites derived from the gut microbiota, and age-related macular degeneration (AMD).</p>
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<p>Causal relationship between the gut microbiota (GM) and age-related macular degeneration (AMD). (<b>A</b>) Causal and sensitivity analyses were conducted for each gut microbiome taxon across five levels in relation to AMD. The outer circle represents the <span class="html-italic">p</span>-value of the heterogeneity test (Cochran’s Q), followed by the GM taxon name, the <span class="html-italic">p</span>-value of the pleiotropy test (MR-Egger regression), and the <span class="html-italic">p</span>-value based on the IVW results (significant results highlighted in red). Color coding for the <span class="html-italic">p</span>-values is based on an RGB color scale (<span class="html-italic">p</span> = 0, #ACD6EC; <span class="html-italic">p</span> = 0.5, #90ee90; <span class="html-italic">p</span> = 1, #F5A899). (<b>B</b>) The Mendelian randomization (MR) results reveal the causal relationship between the GM and AMD. With OR = 1 as the reference line, the left side indicates that this GM is a protective factor for AMD, while the right side indicates that this GM is a risk factor for AMD. (<b>C</b>) The Sankey diagram illustrates the relationship between the GM and AMD phenotypes. The leftmost side represents the phylum where the gut microbiota comes from, the middle represents the GM, and the rightmost side represents AMD phenotypes.</p>
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<p>Causal analysis of gut microbiome (GM)-derived metabolites and AMD based on Mendelian randomization (MR) analyses. (<b>A</b>–<b>C</b>) Results of early, dry, and wet AMD, respectively. From outside to inside, the <span class="html-italic">p</span>-values of inverse-variance weighted (IVW), MR-Egger, weighted median, simple mode, and weighted mode are represented, respectively. The odds ratio (OR) value of the IVW method is represented in the innermost side. Groups A, L, C, N, E, X, and F represent amino acids, lipids, carbohydrates, nucleotides, energy, xenobiotics, and fatty acids, respectively. (<b>D</b>) The mediation effect of “gut microbiota–blood metabolites–AMD” in two-step Mendelian randomization. (<b>E</b>) The Mendelian randomization (MR) results reveal the causal relationship between the GM and AMD. With OR = 1 as the reference line, the left side indicates that this metabolite is a protective factor for AMD, while the right side indicates that this metabolite is a risk factor for AMD. CI indicates confidence intervals.</p>
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22 pages, 16367 KiB  
Article
Enhanced Seafloor Topography Inversion Using an Attention Channel 1D Convolutional Network Based on Multiparameter Gravity Data: Case Study of the Mariana Trench
by Qiang Wang, Ziyin Wu, Zhaocai Wu, Mingwei Wang, Dineng Zhao, Taoyong Jin, Qile Zhao, Xiaoming Qin, Yang Liu, Yifan Jiang, Puchen Zhao and Ning Zhang
J. Mar. Sci. Eng. 2025, 13(3), 507; https://doi.org/10.3390/jmse13030507 - 5 Mar 2025
Viewed by 149
Abstract
Seafloor topography data are fundamental for marine resource development, oceanographic research, and maritime rights protection. However, approximately 75% of the ocean remains unsurveyed for bathymetry. Sole reliance on shipborne measurements is insufficient for constructing a global bathymetric model within a short timeframe; consequently, [...] Read more.
Seafloor topography data are fundamental for marine resource development, oceanographic research, and maritime rights protection. However, approximately 75% of the ocean remains unsurveyed for bathymetry. Sole reliance on shipborne measurements is insufficient for constructing a global bathymetric model within a short timeframe; consequently, satellite altimetry-based inversion techniques are essential for filling data gaps. Recent advancements have improved the variety and quality of satellite altimetry gravity data. To leverage the complementary advantages of multiparameter gravity data, we propose a 1D convolutional neural network based on a convolutional attention module, termed the Attention Channel 1D Convolutional Network (AC1D). Results of a case study of the Mariana Trench indicated that the AC1D grid predictions exhibited improved agreement with single-beam depth checkpoints, with standard deviation reductions of 6.32%, 20.79%, and 36.77% and root mean square error reductions of 7.11%, 22.82%, and 50.99% compared with those of parallel linked backpropagation, the gravity–geological method, and a convolutional neural network, respectively. The AC1D grid demonstrated enhanced stability in multibeam bathymetric validation metrics and exhibited better consistency with multibeam bathymetry data and the GEBCO2023 grid. Power spectral density analysis revealed that AC1D effectively captured rich topographic signals when predicting terrain features with wavelengths below 6.33 km. Full article
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<p>Distribution of shipborne bathymetric data. Gray and red points represent control points and checkpoints, respectively. The yellow line delineates the area of coverage of multibeam data. The background map is the 15-arcsec GEBCO2023 bathymetric grid.</p>
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<p>Multiparameter gravity data models in the Mariana Trench region.</p>
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<p>Results of correlation analysis between (<b>a</b>) the detrended gravity anomaly and the detrended bathymetry, (<b>b</b>) the detrended vertical gravity gradient anomaly and the detrended bathymetry, (<b>c</b>) the detrended vertical deflection meridional component and the detrended bathymetry, (<b>d</b>) the detrended vertical deflection prime vertical component and the detrended bathymetry, and (<b>e</b>) the detrended short-wavelength gravity anomaly and the detrended bathymetry.</p>
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<p>Linear fitting results between (<b>a</b>) the gravity anomaly residual field and the detrended bathymetry, (<b>b</b>) the vertical gravity gradient anomaly residual field and the detrended bathymetry, and (<b>c</b>) the short-wavelength gravity anomaly and the detrended bathymetry.</p>
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<p>AC1D model architecture: fag represents the spatial gravity anomaly, vgg represents the vertical gravity gradient anomaly, sfag represents the residual spatial gravity anomaly, svgg represents the residual vertical gravity gradient anomaly, sg represents the short-wavelength gravity anomaly, ssg represents the residual short-wavelength gravity anomaly, nvd represents the vertical deflection meridional component, and evd represents the vertical deflection prime vertical component.</p>
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<p>Schematic of the principle of the gravity–geological method.</p>
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<p>Diagram of iterative density anomaly adjustments.</p>
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<p>AC1D bathymetric grid.</p>
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<p>Single-beam evaluation of the AC1D bathymetric grid: (<b>a</b>) correspondence between the AC1D bathymetric grid and the single-beam validation points, (<b>b</b>) histogram of deviations between the AC1D bathymetric grid and the single-beam validation points, and (<b>c</b>) spatial distribution of points with deviations of &gt;100 m, shown as black dots. The background is the GEBCO2023 bathymetric grid.</p>
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<p>Comparison of differences between AC1D and PLBP relative to the GEBCO2023 model. The upper panel shows the gradient map of the GEBCO2023 model as the background. In the lower panel, the bathymetric profiles are represented by green for AC1D, red for PLBP, and black for the GEBCO2023 model.</p>
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<p>Power spectral density (PSD) of the AC1D, PLBP, and GGM models.</p>
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13 pages, 4471 KiB  
Article
The Impact of Biseasonal Time Changes on Migraine
by Carl H. Göbel, Katja Heinze-Kuhn, Axel Heinze, Anna Cirkel and Hartmut Göbel
Neurol. Int. 2025, 17(3), 40; https://doi.org/10.3390/neurolint17030040 - 5 Mar 2025
Viewed by 142
Abstract
Background: Changes in the daily rhythm can trigger migraine attacks. The sensitivity for triggering attacks is closely linked to the regulation of biological rhythms controlled by the hypothalamus. In over 70 countries around the world, the time is changed between daylight savings [...] Read more.
Background: Changes in the daily rhythm can trigger migraine attacks. The sensitivity for triggering attacks is closely linked to the regulation of biological rhythms controlled by the hypothalamus. In over 70 countries around the world, the time is changed between daylight savings time and standard time twice a year due to legal regulations. The aim of this study was to investigate whether the time change has an influence on migraine. Methods: In this retrospective study, the headache frequency of patients with episodic or chronic migraine at a tertiary headache center in the years 2020, 2021, and 2022 was evaluated. The primary outcome measure was the frequency of migraine occurrence on either Sunday or Monday of the time change weekend compared to Sunday or Monday before or Sunday or Monday after the time change. Results: Data from 258 patients were analyzed (86.8% women; average age: 51.5 years; average headache frequency: 7.7 days/month; 83.3% episodic migraine). Our results showed a significant increase of 6.4% in migraine frequency on the Sunday and/or Monday in the week after the time change in spring compared to the week before the change. In autumn, conversely, there was a significant reduction of 5.5% in migraine frequency on the Sunday and/or Monday one week after the time change compared to the week before the change. The factor responsible for the significant changes was the increase in migraines on Monday one week after the time change in spring and the decrease in migraines on Sunday one week after the time change in autumn. Conclusions: When switching from standard time to daylight savings time in the spring, the frequency of migraines increases significantly one week after the time change. In autumn, in comparison, there is an inverse trend with a reduction in migraine frequency. These data suggest that synchronization is disturbed when switching to daylight savings time. Conversely, synchronization normalizes in autumn. In view of the high prevalence of migraines, this can have extensive individual and social consequences. Full article
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<p>Recorded period from the Sunday before (−7 days) the time change (day 0) to the second Monday after the time change (day +8). Headache data were analyzed for Sunday (day 0) and Monday (day +1) of the actual time change weekend and for Sunday (day −7) and Monday (day −6) one week before and after the time change (day +7 and day +8).</p>
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<p>Absolute age distribution of the evaluated patients.</p>
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<p>Number of evaluable time change phases per patient. Maximum of 6 phases recorded, spring and autumn 2020, 2021, and 2022. A complete data set of a time change consists of week −1, W0, and week +1.</p>
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<p>Average migraine frequency on Sunday and/or Monday at the 3 time points day −7 and day −6 (week before the time change), day 0 and day +1 (weekend of the time change), and day +7 and day +8 (week after the time change) in spring. The frequency of migraines on Sunday and/or Monday on day +7 and day +8 after the time change was significantly higher than on day −7 and day −6 before the time change (<span class="html-italic">p</span> = 0.019) and than on the time change weekend (day 0 and day +1) itself (<span class="html-italic">p</span> = 0.040).</p>
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<p>Average migraine frequency on Sunday and/or Monday at the time points day −7 and day −6 (week before the time change), day 0 and day +1 (weekend of the time change), and day +7 and day +8 (week after the time change) in autumn. The frequency of migraines on Sunday and/or Monday on day +7 and day +8 after the time change was significantly lower than on day −7 and day −6 before the time change (<span class="html-italic">p</span> = 0.040). The migraine frequency on the time change weekend day 0 and day +1 was lower than in the previous week on day −7 and day −6, but the difference was not significant (<span class="html-italic">p</span> = 0.14).</p>
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<p>Average migraine frequency on Sunday and/or Monday at the 3 time points day −7 and day −6, day 0 and day +1 as well as time point day +7 and day +8 in spring in the presence of episodic migraine versus chronic migraine. There was a significant difference in episodic migraine between the time points day −7 and day −6 before the time change and day +7 and day +8 after the time change (<span class="html-italic">p</span> = 0.0342).</p>
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<p>Average migraine frequency on Sunday and/or Monday at the 3 time points day −7 and day −6, day 0 and day +1 as well as time point day +7 and day +8 in autumn in the presence of episodic migraine versus chronic migraine. The frequencies for chronic migraine did not differ significantly. In contrast, there was a significant difference between the time points day −7 and day −6 before the time change and day +7 and day +8 after the time change for episodic migraine (<span class="html-italic">p</span> = 0.0255).</p>
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21 pages, 1134 KiB  
Article
A Study on the Spatial Effects of the Digital Economy on Regional Economic Growth in China
by Yujie Shang, Hyukku Lee and Jinghao Ma
Sustainability 2025, 17(5), 2259; https://doi.org/10.3390/su17052259 - 5 Mar 2025
Viewed by 113
Abstract
The burgeoning digital economy in China serves as a significant impetus for extensive economic growth across the nation. However, regional development within China remains imbalanced, and the issue of the digital divide cannot be overlooked. This paper is dedicated to examining the effect [...] Read more.
The burgeoning digital economy in China serves as a significant impetus for extensive economic growth across the nation. However, regional development within China remains imbalanced, and the issue of the digital divide cannot be overlooked. This paper is dedicated to examining the effect of the digital economy on the aggregate economic growth of China, along with a heterogeneity analysis. Using Chinese province-level data during the period of full entry into the mobile Internet era (2014–2022), this study first constructs a digital economic development index system. Using the entropy method, it calculates the digital economic index for 30 provinces in China during the 2014–2022 period. Subsequently, a panel regression model is utilized to explore how the digital economy impacts economic growth. Ultimately, the Durbin model gauges the digital economy’s spatial impact on economic expansion in China. The key findings are as follows: (1) The burgeoning digital economy in China has instigated substantial expansion of the national economy. However, its impact on economic growth gradually decreases from the eastern to the western regions. (2) China reveals a notable spatial relationship linking its digital economy and economic expansion. A distinct positive spatial relationship exists between the two. Additionally, the digital economy of China presents a positive spatial spillover effect regarding economic growth. The strongest manifestation of this effect is detected in the eastern region, trailed by the central region, and the western region displays the feeblest effect. Based on these findings, it is clear the digital economy plays a pivotal role in China’s economic growth. To expedite the high-quality development of the digital economy, the government could take additional steps. Specifically, it could enhance the construction of infrastructure related to the digital economy and increase investment in scientific and technological innovation resources. Enterprises can consider digital transformation to achieve the digital development of industries. In addition, considering the existence of the spatial spillover effect, the digital divide can be bridged and regional imbalances alleviated by enhancing coordinated regional development. Full article
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<p>Scatter plot of log-transformed digital economic development level and GDP per capita.</p>
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<p>Scatter graphs of the local Moran I of the variable denoted as lngdp: (<b>a</b>) scatter plot of the local Moran index of variable lngdp in 2014; (<b>b</b>) scatter plot of the local Moran index of variable lngdp in 2018; (<b>c</b>) scatter plot of the local Moran index of variable lngdp in 2022. The numerical codes in the Moran scatter plots correspond to the following: 1—Beijing; 2—Tianjin; 3—Hebei; 4—Shanxi; 5—Inner Mongolia; 6—Liaoning; 7—Jilin; 8—Heilongjiang; 9—Shanghai; 10—Jiangsu; 11—Zhejiang; 12—Anhui; 13—Fujian; 14—Jiangxi; 15—Shandong; 16—Henan; 17—Hubei; 18—Hunan; 19—Guangdong; 20—Guangxi; 21—Hainan; 22—Chongqing; 23—Sichuan; 24—Guizhou; 25—Yunnan; 26—Shaanxi; 27—Gansu; 28—Qinghai; 29—Ningxia; 30—Xinjiang.</p>
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<p>Scatter graphs of the local Moran I of the variable denoted as lnide: (<b>a</b>) scatter plot of the local Moran index of variable lnide in 2014; (<b>b</b>) scatter plot of the local Moran index of variable lnide in 2018; (<b>c</b>) scatter plot of the local Moran index of variable lnide in 2022. The numerical codes correspond to those in the figure above.</p>
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