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Search Results (2,969)

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28 pages, 695 KiB  
Review
NAFLD and NAFLD Related HCC: Emerging Treatments and Clinical Trials
by Tripti Khare, Karina Liu, Lindiwe Oslee Chilambe and Sharad Khare
Int. J. Mol. Sci. 2025, 26(1), 306; https://doi.org/10.3390/ijms26010306 (registering DOI) - 1 Jan 2025
Viewed by 199
Abstract
Nonalcoholic fatty liver disease (NAFLD), recently renamed metabolic-associated fatty liver disease (MAFLD), is the most prevalent liver disease worldwide. It is associated with an increased risk of developing hepatocellular carcinoma (HCC) in the background of cirrhosis or without cirrhosis. The prevalence of NAFLD-related [...] Read more.
Nonalcoholic fatty liver disease (NAFLD), recently renamed metabolic-associated fatty liver disease (MAFLD), is the most prevalent liver disease worldwide. It is associated with an increased risk of developing hepatocellular carcinoma (HCC) in the background of cirrhosis or without cirrhosis. The prevalence of NAFLD-related HCC is increasing all over the globe, and HCC surveillance in NAFLD cases is not that common. In the present review, we attempt to summarize promising treatments and clinical trials focused on NAFLD, nonalcoholic steatohepatitis (NASH), and HCC in the past five to seven years. We categorized the trials based on the type of intervention. Most of the trials are still running, with only a few completed and with conclusive results. In clinical trial NCT03942822, 25 mg/day of milled chia seeds improved NAFLD condition. Completed trial NCT03524365 concluded that Rouxen-Y gastric bypass (RYGB) or sleeve gastrectomy (SG) results in histological resolution of NASH without worsening of fibrosis, while NCT04677101 validated sensitivity/accuracy of blood biomarkers in predicting NASH and fibrosis stage. Moreover, trials with empagliflozin (NCT05694923), curcuvail (NCT06256926), and obeticholic acid (NCT03439254) were completed but did not provide conclusive results. However, trial NCT03900429 reported effective improvement in fibrosis by at least one stage, without worsening of NAFLD activity score (NAS), as well as improvement in lipid profile of the NASH patients by 80 or 100 mg MGL-3196 (resmetirom). Funded by Madrigal Pharmaceuticals, Rezdiffra (resmetirom), used in the clinical trial NCT03900429, is the first FDA-approved drug for the treatment of NAFLD/NASH. Full article
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<p>Disease progression of a healthy liver to HCC. Stages of progression of a healthy liver to HCC: The liver first experiences steatosis where fat cells become abundant, followed by fibrosis, where fibroblasts and collagen form large amounts of scar tissue; and ultimately, cirrhosis, where necrosis appears in addition to the fat cells and scar tissue, leading to cirrhotic HCC, where tumor cells are formed. Non-cirrhotic HCC can also occur after steatosis with the formation of tumor cells.</p>
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16 pages, 1628 KiB  
Article
A Systematic Analysis and Experimental Verification of Joint Pricing and Inventory Strategies in Competitive Newsvendor Environments
by Mengmeng Shi, Yue Liu and Shaohui Wu
Systems 2025, 13(1), 18; https://doi.org/10.3390/systems13010018 - 31 Dec 2024
Viewed by 285
Abstract
This study examined joint pricing and inventory decisions in a competitive newsvendor environment using a combination of theoretical modeling and experimental methods. We developed a newsvendor model with price competition and inventory decisions. Participants in a laboratory experiment made simultaneous pricing and inventory [...] Read more.
This study examined joint pricing and inventory decisions in a competitive newsvendor environment using a combination of theoretical modeling and experimental methods. We developed a newsvendor model with price competition and inventory decisions. Participants in a laboratory experiment made simultaneous pricing and inventory decisions over 50 rounds, with their opponents’ identities unknown. We theoretically proved the existence of a mixed Nash equilibrium, i.e., different equilibrium prices corresponded to different optimal inventory quantities. The experimental results show that about 50% of the joint pricing and inventory decisions were consistent with the predictions of the equilibrium model. However, systematic deviations from the equilibrium predictions were also observed at the aggregate level. We developed a novel context-dependent quantal response equilibrium model (QRE) for the bivariate newsvendor game setting. The context-dependent quantal response equilibrium model fit the observed decision biases remarkably well, and it was significantly better than the basic QRE model. This research provides insights into decision biases in complex systems and practical guidance for project planning and management. Full article
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<p>Dynamic changes in average prices.</p>
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<p>Inventory distribution by treatment.</p>
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<p>Dynamics of average order quantity by treatment.</p>
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<p>Comparisons between context-dependent QRE and data—price decisions.</p>
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<p>Comparisons between context-dependent QRE and data—inventory decisions.</p>
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22 pages, 5372 KiB  
Article
A Bargaining with Negotiation Cost for Water Use and Pollution Conflict Management
by Zhipeng Fan, Xiang Fu and Xiaodan Zhao
Sustainability 2025, 17(1), 119; https://doi.org/10.3390/su17010119 - 27 Dec 2024
Viewed by 337
Abstract
The intensifying overexploitation of water resources and the increasing pollution discharge have exacerbated conflicts in water resource utilization, making it urgent to effectively reconcile the contradiction between water resource utilization and environmental protection. This study developed a Cost-Inclusive Multi-Objective Bargaining Methodology (CIMB), coupled [...] Read more.
The intensifying overexploitation of water resources and the increasing pollution discharge have exacerbated conflicts in water resource utilization, making it urgent to effectively reconcile the contradiction between water resource utilization and environmental protection. This study developed a Cost-Inclusive Multi-Objective Bargaining Methodology (CIMB), coupled with a Compromise Programming (CP) method, to address conflicts between water use and pollution discharge, considering the economic benefits and the sustainable development of water resources. A deterministic multi-objective bargaining approach was employed, with two players representing the maximization of water use benefits and the minimization of total pollution discharge. This study takes the middle and lower reaches of the Han River region as an example to optimize water resource allocation in ten cities in this area. Using the CIMB-CP model, the water use and pollution discharge for different cities were obtained, and the impact of various factors on the game outcomes was analyzed. The model results indicate that negotiation cost have a significant impact on the Nash equilibrium solution. Compared to the Cost-Exclusive Multi-Objective Bargaining Methodology (CEMB) model, the Nash equilibrium solution of the CIMB-CP model shows an approximately 0.1% decrease in economic benefits and an approximately 0.3% decrease in pollution discharge. The risk attitudes of the participants have a significant impact on the game outcomes, and decision-makers need to formulate corresponding negotiation strategies based on their own risk preferences. Full article
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<p>The research framework.</p>
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<p>Geographical location of the Middle and Lower Han River.</p>
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<p>The research flowchart.</p>
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<p>Comparison of CEMB-CP and CIMB-CP for economic benefit and pollution discharge. (<b>a</b>) Trade-off analysis between economic benefit and pollution discharge; (<b>b</b>) Utility of economic benefit and pollution discharge.</p>
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<p>Water deficit comparison between CEBM-CP and CIBM-CP.</p>
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<p>Comparative analysis of water resource allocation with CEMB-CP. (<b>a</b>) The total water consumption and the proportion of each water-use sector in each city; (<b>b</b>) Proportion of water use among different water sectors in the study area.</p>
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<p>Comparative analysis of water resource allocation with CIMB-CP. (<b>a</b>) The total water consumption and the proportion of each water-use sector in each city; (<b>b</b>) Proportion of water use among different water sectors in the study area.</p>
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<p>Decision and utility analysis of CIMB-CP across various scenarios. (<b>a</b>) Trade-off analysis between economic benefit and pollution discharge; (<b>b</b>) Utility of economic benefit and pollution discharge.</p>
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20 pages, 18959 KiB  
Article
Impact of Rain Gauge Density on Flood Forecasting Performance: A PBDHM’s Perspective
by Zilong Huang and Yangbo Chen 
Water 2025, 17(1), 18; https://doi.org/10.3390/w17010018 - 25 Dec 2024
Viewed by 225
Abstract
The structures and parameters of physically-based distributed hydrological models (PBDHMs) can now be established and derived from remote-sensing data with relative ease. When engineers apply PBDHMs for flood forecasting in mesoscale catchments, they encounter varying rain gauge infrastructure conditions. Understanding model performance expectations [...] Read more.
The structures and parameters of physically-based distributed hydrological models (PBDHMs) can now be established and derived from remote-sensing data with relative ease. When engineers apply PBDHMs for flood forecasting in mesoscale catchments, they encounter varying rain gauge infrastructure conditions. Understanding model performance expectations under varying rain gauge density conditions is crucial for wide PDBHM construction. This study presents a case study of a PBDHM called the Liuxihe Model and examines six rain gauge density scenarios designed based on real-world data to assess the impact of rain gauge density on model flood forecasting performance. The study focuses on a mesoscale catchment in Jiangxi Province, China, covering an area of 2364 km2 with 62 rain gauges. The results indicate that models optimized under an adequate rain gauge density condition are less affected by gauge density changes, maintaining accuracy within a range of change. Compared to Kling–Gupta Efficiency (KGE) and Nash–Sutcliffe Efficiency (NSE), the indicators absolute peak time error (APTE) and peak relative error (PRE) are less sensitive to variation in rain gauge density. The study further discusses how rain gauge density changes related to the interpolated rainfall surfaces and parameter optimization, hoping to facilitate the broader application of PBDHMs and offer insights for future practices. Full article
(This article belongs to the Section Hydrology)
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<p>Flow chart of Experiments Design.</p>
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<p>Ningdu Catchment Overview. (<b>a</b>) Left panel mainly displays the rain gauges and river network in Ningdu catchment. (<b>b</b>) Right panel displays DEM, land-use and soil map of the catchment.</p>
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<p>Liuxihe model structure [<a href="#B13-water-17-00018" class="html-bibr">13</a>] (a few more details added).</p>
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<p>Illustration of the sampling scheme.</p>
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<p>Parameter optimization results. (<b>a</b>) Predicted hydrograph of THI100P. (<b>b</b>) Predicted hydrograph of IDW100P. (<b>c</b>) Predicted hydrograph of GWR100P. (<b>d</b>) Errors (fit) in the parameter optimization process.</p>
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<p>Predicted hydrographs of the 15 test events by all available gauges (i.e., experiments 100 Ps). Red line for experiment THI, orange line for IDW, and yellow line for GWR.</p>
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<p>Relational curves of rain gauge density and metrics. Shaded area boundaries represent the maximum and minimum metrics values. (<b>a</b>) Average KGE of test dataset as rain gauge density varies. (<b>b</b>) Average NSE of test dataset as rain gauge density varies. (<b>c</b>) Average PRE of test dataset as rain gauge density varies. (<b>d</b>) Average APTE of test dataset as rain gauge density varies.</p>
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<p>Box plot of the experimental results. (<b>a</b>) Experiments using THI. (<b>b</b>) Experiments using IDW. (<b>c</b>) Experiments using GWR.</p>
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<p>Interpolated rainfall surfaces of THI, IDW, and GWR.</p>
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<p>Bar plots of the average rainfall in three time segments of event 2016-11-19 for experiment 100 Ps.</p>
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<p>Results of parameter optimization for each scenario. (<b>a</b>) Predicted hydrograph of THI experiments. (<b>b</b>) Predicted hydrograph of IDW experiments. (<b>c</b>) Predicted hydrograph of GWR experiments. (<b>d</b>) Errors (fit) in the optimization processes for each scenario.</p>
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<p>Relational curves of rain gauge density and metrics for experiments involving parameter optimization for each scenario. Shaded area boundaries represent the maximum and minimum metrics values. (<b>a</b>) Average KGE of test dataset as rain gauge density varies. (<b>b</b>) Average NSE of test dataset as rain gauge density varies. (<b>c</b>) Average PRE of test dataset as rain gauge density varies. (<b>d</b>) Average APTE of test dataset as rain gauge density varies.</p>
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12 pages, 6235 KiB  
Article
Hepatic Steatosis Analysis in Metabolic Dysfunction-Associated Steatotic Liver Disease Based on Artificial Intelligence
by Xiao-Xiao Wang, Yu-Yun Song, Rui Jin, Zi-Long Wang, Xiao-He Li, Qiang Yang, Xiao Teng, Fang-Fang Liu, Nan Wu, Yan-Di Xie, Hui-Ying Rao and Feng Liu
Diagnostics 2024, 14(24), 2889; https://doi.org/10.3390/diagnostics14242889 - 23 Dec 2024
Viewed by 343
Abstract
Background: Metabolic dysfunction-associated steatotic liver disease (MASLD) is characterized by the accumulation of fat in the liver, excluding excessive alcohol consumption and other known causes of liver injury. Animal models are often used to explore different pathogenic mechanisms and therapeutic targets of MASLD. [...] Read more.
Background: Metabolic dysfunction-associated steatotic liver disease (MASLD) is characterized by the accumulation of fat in the liver, excluding excessive alcohol consumption and other known causes of liver injury. Animal models are often used to explore different pathogenic mechanisms and therapeutic targets of MASLD. The aim of this study is to apply an artificial intelligence (AI) system based on second-harmonic generation (SHG)/two-photon-excited fluorescence (TPEF) technology to automatically assess the dynamic patterns of hepatic steatosis in MASLD mouse models. Methods: We evaluated the characteristics of hepatic steatosis in mouse models of MASLD using AI analysis based on SHG/TPEF images. Six different models of MASLD were induced in C57BL/6 mice by feeding with a western or high-fat diet, with or without fructose in their drinking water, and/or by weekly injections of carbon tetrachloride. Results: Body weight, serum lipids, and liver enzyme markers increased at 8 and 16 weeks in each model compared to baseline. Steatosis grade showed a steady upward trend. However, the non-alcoholic steatohepatitis (NASH) Clinical Research Network (CRN) histological scoring method detected no significant difference between 8 and 16 weeks. In contrast, AI analysis was able to quantify dynamic changes in the area, number, and size of hepatic steatosis automatically and objectively, making it more suitable for preclinical MASLD animal experiments. Conclusions: AI recognition technology may be a new tool for the accurate diagnosis of steatosis in MASLD, providing a more precise and objective method for evaluating steatosis in preclinical murine MASLD models under various experimental and treatment conditions. Full article
(This article belongs to the Special Issue Artificial Intelligence in Metabolic Diseases)
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<p>Flowchart of the imaging process and detection of fat vacuoles. (<b>A</b>) Images of unstained liver tissue samples were obtained using an SHG/TPEF imaging device (Genesis <sup>®</sup> 200). (<b>B</b>) All holes in the input images were detected in the TPE channel and classified using a pre-trained decision tree.</p>
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<p>Average body weight (<b>A</b>) and liver weight-to-body weight ratio (<b>B</b>) of the control group and six MASLD mouse models at different time points (0, 8, and 16 weeks; <span class="html-italic">n</span> = 5 at each time point). Note: *, <span class="html-italic">p</span> &lt; 0.05; **, <span class="html-italic">p</span> &lt; 0.01; ***, <span class="html-italic">p</span> &lt; 0.001; ****, <span class="html-italic">p</span> &lt; 0.0001; w, week; CCl4, Carbon tetrachloride; WD, Western diet; WDF, WD with high-fructose drinking water; WDF + CCl<sub>4</sub>, WDF plus intraperitoneal injection of CCl<sub>4</sub>; HFD, high-fat diet; HFDF, HFD with high-fructose drinking water; HFDF + CCl<sub>4</sub>, HFD plus intraperitoneal injection of CCl<sub>4</sub>.</p>
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<p>Serum levels of ALT (<b>A</b>), AST (<b>B</b>), cholesterol (CHO) (<b>C</b>), and low-density lipoprotein (LDL) (<b>D</b>) at different time points (0, 8, and 16 weeks) in the control group and six MASLD mouse models (<span class="html-italic">n</span> = 5 at each time point). Note: *, <span class="html-italic">p</span> &lt; 0.05; **, <span class="html-italic">p</span> &lt; 0.01; ****, <span class="html-italic">p</span> &lt; 0.0001; w, week; CCl<sub>4</sub>, Carbon tetrachloride; WD, Western diet; WDF, WD with high-fructose drinking water; WDF + CCl<sub>4</sub>, WDF plus intraperitoneal injection of CCl<sub>4</sub>; HFD, high-fat diet; HFDF, HFD with high-fructose drinking water; HFDF + CCl<sub>4</sub>, HFD plus intraperitoneal injection of CCl<sub>4</sub>.</p>
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<p>Representative images of H and E staining and SHG/TPEF at 8 and 16 weeks in the control group and six MASLD mouse models. In the H and E staining image, the percentages of vacuole area were shown as the percentages of steatosis, while in the SHG/TPEF image, the red channel represents TPEF, and the green channel represents SHG (collagen structure); the percentages of black fat vacuoles and surrounding affected areas were identified as the percentages of steatosis. H and E, Hematoxylin and eosin; SHG/TPEF, second-harmonic generation/two-photon-excited fluorescence; w, week; CCl<sub>4</sub>, Carbon tetrachloride; WD, Western diet; WDF, WD with high-fructose drinking water; WDF + CCl<sub>4</sub>, WDF plus intraperitoneal injection of CCl<sub>4</sub>; HFD, high-fat diet; HFDF, HFD with high-fructose drinking water; HFDF + CCl<sub>4</sub>, HFD plus intraperitoneal injection of CCl<sub>4</sub>; Bar: 200 μm.</p>
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<p>Steatosis quantification in the control group and six MASLD mouse model groups at different time points (0, 8, and 16 weeks). Quantitative parameters of steatosis (fat vacuoles and affected cell area) based on SHG/TPEF images. Note: *, <span class="html-italic">p</span> &lt; 0.05; **, <span class="html-italic">p</span> &lt; 0.01; ***, <span class="html-italic">p</span> &lt; 0.001; ****, <span class="html-italic">p</span> &lt; 0.0001; the number of samples in each group was 5; w, week; CCl<sub>4</sub>, Carbon tetrachloride; WD, Western diet; WDF, WD with high-fructose drinking water; WDF + CCl<sub>4</sub>, WDF plus intraperitoneal injection of CCl<sub>4</sub>; HFD, high-fat diet; HFDF, HFD with high-fructose drinking water; HFDF + CCl<sub>4</sub>, HFD plus intraperitoneal injection of CCl<sub>4</sub>.</p>
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<p>Fat vacuole distribution at different time points (0, 8, and 16 weeks) among the control group and six MASLD mouse models. The x-axis represents the diameter of the fat vacuoles (µm), whereas the y-axis represents the number of fat vacuoles per unit area (mm<sup>2</sup>), corresponding to the diameter of the fat vacuoles. Note: The comparison between different weeks of the same model is based on the difference in fat vacuole distribution according to their diameter per unit area. The <span class="html-italic">p</span>-value of the KS test is shown in the figure. w, week; CCl<sub>4</sub>, Carbon tetrachloride; WD, Western diet; WDF, WD with high-fructose drinking water; WDF + CCl<sub>4</sub>, WDF plus intraperitoneal injection of CCl<sub>4</sub>; HFD, high-fat diet; HFDF, HFD with high-fructose drinking water; HFDF + CCl<sub>4</sub>, HFD plus intraperitoneal injection of CCl<sub>4</sub>.</p>
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20 pages, 11833 KiB  
Article
Coupling and Comparison of Physical Mechanism and Machine Learning Models for Water Level Simulation in Plain River Network Area
by Xiaoqing Gao, Yunzhu Liu, Cheng Gao, Dandan Qing, Qian Wang and Yulong Cai
Appl. Sci. 2024, 14(24), 12008; https://doi.org/10.3390/app142412008 - 22 Dec 2024
Viewed by 342
Abstract
In this study, the JiaoGang Basin in the Yangtze River Delta plains of the river network area was the research object. A basin water level simulation model was constructed based on the physical mechanism model and Mike software, and the parameters were calibrated [...] Read more.
In this study, the JiaoGang Basin in the Yangtze River Delta plains of the river network area was the research object. A basin water level simulation model was constructed based on the physical mechanism model and Mike software, and the parameters were calibrated and validated. Based on the dataset produced by the physical model, three types of ML models, Support Vector Machine (SVM), random forest (RF), and gradient boosting decision tree (GBDT), were constructed, trained, validated, and compared with the physical model. The results showed that the physical mechanism model met the water level simulation accuracy requirements at most stations. In the training and validation periods, the RF water level simulation and GBDT water level simulation models had root mean square errors (RMSEs) of all stations less than 0.25 and the Nash–Sutcliffe coefficient (NSE) of all stations was greater than 0.7. The physical mechanism model and ML water level simulation models can simulate the water level in the JiaoGang Basin better. The RF and GBDT models considerably outperform the physical mechanism model in terms of the peak simulation errors and peak present time errors, and the fluctuations of the ML water level simulation models (RMSE and NSE) are minor compared to those of the physical mechanism model. Full article
(This article belongs to the Special Issue Environmental Monitoring and Analysis for Hydrology)
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<p>Map of the study area.</p>
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<p>Generalization of the river network in the study area.</p>
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<p>Schematic of Thiessen polygons division and sub-catchments.</p>
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<p>Comparison chart of observed and simulated water level in physical mechanism model: (<b>a</b>) Haiantong, (<b>b</b>) Rutaiyunhezhadong, (<b>c</b>) Banjing, (<b>d</b>) Ruhaiyunhe, (<b>e</b>) Jiaogangzha, (<b>f</b>) Yangkouwaizha, (<b>g</b>) Juegang, (<b>h</b>) Dingyan, (<b>i</b>) Jiuweigangzha, and (<b>j</b>) Shigang.</p>
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<p>Comparison chart between simulated and observed water levels in machine learning models: (<b>a</b>) Haiantong, (<b>b</b>) Banjing, (<b>c</b>) Jiaogangzha, (<b>d</b>) Yangkouwaizha, (<b>e</b>) Juegang, (<b>f</b>) Dingyan, and (<b>g</b>) Shigang.</p>
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<p>Performance comparison bar chart between MIKE11 and machine learning models.</p>
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<p>Validation result plot of the machine learning models in 2011: (<b>a</b>) Haiantong, (<b>b</b>) Banjing, (<b>c</b>) Jiaogangzha, (<b>d</b>) Yangkouwaizha, (<b>e</b>) Juegang, (<b>f</b>) Dingyan, and (<b>g</b>) Shigang.</p>
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<p>Bar chart of validation results for machine learning water level simulation models.</p>
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21 pages, 4626 KiB  
Article
A Bayesian-Optimized Surrogate Model Integrating Deep Learning Algorithms for Correcting PurpleAir Sensor Measurements
by Masrur Ahmed, Jing Kong, Ningbo Jiang, Hiep Nguyen Duc, Praveen Puppala, Merched Azzi, Matthew Riley and Xavier Barthelemy
Atmosphere 2024, 15(12), 1535; https://doi.org/10.3390/atmos15121535 - 21 Dec 2024
Viewed by 415
Abstract
Lowcost sensors are widely used for air quality monitoring due to their affordability, portability and easy maintenance. However, the performance of such sensors, such as PurpleAir Sensors (PAS), is often affected by changes in environmental (e.g., temperature and humidity) or emission conditions, and [...] Read more.
Lowcost sensors are widely used for air quality monitoring due to their affordability, portability and easy maintenance. However, the performance of such sensors, such as PurpleAir Sensors (PAS), is often affected by changes in environmental (e.g., temperature and humidity) or emission conditions, and hence the resulting measurements require corrections to ensure accuracy and validity. Traditional correction methods, like those developed by the USEPA, have limitations, particularly for applications to geographically diverse settings and sensors with no collocated referenced monitoring stations available. This study introduces BaySurcls, a Bayesianoptimised surrogate model integrating deep learning (DL) algorithms to improve the PurpleAir sensor PM2.5 (PAS2.5) measurement accuracy. The framework incorporates environmental variables such as humidity and temperature alongside aerosol characteristics, to refine sensor readings. The BaySurcls model corrects the PAS2.5 data for both collocated and noncollocated monitoring scenarios. In a case study across multiple locations in New South Wales, Australia, BaySurcls demonstrated significant improvements over traditional correction methods, including the USEPA model. BaySurcls reduced root mean square error (RMSE) by an average of 20% in collocated scenarios, with reductions of up to 25% in highvariation sites. Additionally, BaySurcls achieved Nash–Sutcliffe Efficiency (NSE) scores as high as 0.88 in collocated cases, compared to scores below 0.4 for the USEPA method. In noncollocated scenarios, BaySurcls maintained NSE values between 0.60 and 0.78, outperforming standalone models. This improvement is evident across multiple locations in New South Wales, Australia, demonstrating the model’s adaptability. The findings confirm BaySurcls as a promising solution for improving the reliability of lowcost sensor data, thus facilitating its valid use in air quality research, impact assessment, and environmental management. Full article
(This article belongs to the Section Air Quality)
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<p>Location of air quality monitoring stations (AQMSs) (blue dots on the map) and collocated PurpleAir sensors (PASs) (dots linked and listed on the right). PASs are highlighted in blue if used to build the model for noncollocated sensor scenarios.</p>
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<p>Boxplots of PM 2.5 data ratio between AQMS and collocated PAS readings (horizontal line in the box indicates median value position).</p>
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<p>Workflow of the BaySurcls framework for correcting PurpleAir sensor PM2.5 Data.</p>
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<p>Correction efficiencies expressed in NSE values for tested ML/DL−based methods compared to the USEPA method for each collocated PAS.</p>
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<p>Scatter plots demonstrating the correlation (R) between the reference PM2.5 data and the raw PAS data (blue), the USEPAcorrected PM2.5 (orange), and the BaySurclscorrected PM2.5 (red), as well as the improvement in RMSE by applying different correction methods, under the collocation monitoring scenario.</p>
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<p>Example time series plots for two typical cases of high (<b>top</b>) and low (<b>bottom</b>) ambient PM2.5 pollution, comparing the raw PAS, USEPAcorrected and BaySurclscorrected data with the reference PM2.5 data. In the legend, AQMS is the reference PM2.5 obtained from monitoring stations, PAS is the PM2.5 from the PurpleAir sensors, USEPA is the corrected PM2.5 by USEPA correction method and BaySurcls is the corrected data using our objective BaySurcls model.</p>
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<p>Example violin plots—illustrating the monthly distribution of the ratios between reference (AQMS) PM2.5 data and (1) raw PAS2.5 data (green), (2) corrected PAS2.5 data with the USEPA method (red), and (3) corrected PAS2.5 with BaySurcls (Blue) for two sensors in the collocation monitoring scenario. January to December is indicated by 1 to 12.</p>
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<p>Correction efficiencies are expressed in NSE for ML/DLbased models and the USEPA method for correcting the PAS PM2.5 for PAS monitoring scenarios where no collocated reference monitoring exists.</p>
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<p>Scatter plots demonstrating the correlation between the reference PM2.5 data and (1) the raw PAS2.5 data (blue); (2) the corrected PAS data with the USEPA method (orange); and (3) the corrected PMS2.5 with the BaySurcls model (red).</p>
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<p>Example of time series plots for two PASs for a two-week period, comparing the reference PM2.5 data with relevant raw PAS2.5 data and PAS2.5 data corrected with the USEPA method or the BaySurcls model. In the legend, AQMS is the reference PM2.5 obtained from monitoring stations, PAS is the PM2.5 form the PurpleAir sensors, USEPA is the corrected PM2.5 by USEPA correction method and BaySurcls is the corrected data using our objective BaySurcls model.</p>
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<p>Violin plot presents the monthly distribution of the ratio between PM2.5/PAS PM2.5 and PM2.5/BaySurclscalibrated PM2.5 for selected noncollocated sensors.</p>
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21 pages, 9314 KiB  
Article
Game-Theoretic Motion Planning with Perception Uncertainty and Right-of-Way Constraints
by Pouya Panahandeh, Ahmad Reza Alghooneh, Mohammad Pirani, Baris Fidan and Amir Khajepour
Sensors 2024, 24(24), 8177; https://doi.org/10.3390/s24248177 - 21 Dec 2024
Viewed by 366
Abstract
This paper addresses two challenges in AV motion planning: adherence to right-of-way and handling uncertainties, using two game-theoretic frameworks, namely Stackelberg and Nash Bayesian (Bayesian). By modeling the interactions between road users as a hierarchical relationship, the proposed approach enables the AV to [...] Read more.
This paper addresses two challenges in AV motion planning: adherence to right-of-way and handling uncertainties, using two game-theoretic frameworks, namely Stackelberg and Nash Bayesian (Bayesian). By modeling the interactions between road users as a hierarchical relationship, the proposed approach enables the AV to strategically optimize its trajectory while considering the actions and priorities of other road users. Additionally, the Bayesian equilibrium aspect of the framework incorporates probabilistic beliefs and updates them based on sensor measurements, allowing the AV to make informed decisions in the presence of uncertainty in the sensory system. Experimental assessments demonstrate the efficacy of the approach, emphasizing its ability to improve the reliability and adaptability of AV motion planning. Full article
(This article belongs to the Special Issue Sensors and Sensory Algorithms for Intelligent Transportation Systems)
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<p>Intersection scenario.</p>
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<p>Possible nodes of road user <span class="html-italic">i</span> with <math display="inline"><semantics> <mrow> <msub> <mi>b</mi> <mi>i</mi> </msub> <mo>:</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>⋯</mo> <mo>,</mo> <mn>9</mn> </mrow> </semantics></math>.</p>
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<p><span class="html-italic">C</span> calculation of vehicle-pedestrian interaction.</p>
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<p>Probability distribution function.</p>
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<p>Merging scenario. Road user 1: Blue vehicle (AV). Road user 2: Red vehicle.</p>
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<p>Simulation of a Merging Scenario: Comparison of Stackelberg and Bayesian motion planners. (<b>a</b>) First set of initial conditions for AV and human−driven vehicles. (<b>b</b>) The second set of initial conditions for AV and human−driven vehicles.</p>
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<p>Overtaking scenario.</p>
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<p>Overtaking scenario: Trajectory of road users.</p>
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<p>Overtaking scenario: Instance of interactions between road users.</p>
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<p>Overtaking scenario: Distance from the center of the left lane.</p>
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<p>WATonoBus. (<b>a</b>) Front view. (<b>b</b>) Side view.</p>
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<p>System integration of WATonoBus.</p>
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<p>WATonoBus and pedestrian interaction using the Stackelberg motion planner (Red line: AV’s planned trajectory; Green line: pedestrian’s predicted trajectory; Yellow line: pedestrian’s expected path).</p>
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<p>WATonoBus and pedestrian interaction, Stackelberg motion planner (Four distinct time steps are selected to show the locations of the pedestrian and the WATonoBus).</p>
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<p>WATonoBus and pedestrian interaction using the Bayesian motion planner (Red line: AV’s planned trajectory; Green line: pedestrian’s predicted trajectory; Yellow line: pedestrian’s expected path).</p>
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<p>Probability distribution of pedestrian behavior. (<b>a</b>) First time step in the sequence. (<b>b</b>) Second time step in the sequence. (<b>c</b>) Third time step in the sequence. (<b>d</b>) Fourth time step in the sequence.</p>
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<p>WATonoBus and pedestrian interaction, Bayesian motion planner (Four distinct time steps are selected to show the locations of the pedestrian and the WATonoBus).</p>
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21 pages, 1261 KiB  
Article
Research on Transboundary Air Pollution Control and Cooperative Strategies Based on Differential Game
by Chengyue Yu, Guoping Tu and Feilong Yu
Atmosphere 2024, 15(12), 1528; https://doi.org/10.3390/atmos15121528 - 20 Dec 2024
Viewed by 331
Abstract
This paper examines control and cooperation mechanisms for trans-regional air pollution using differential game theory. This study focuses on analyzing pollution control pathways in regions characterized by asymmetric economic development. Three models are constructed: the Nash non-cooperative game, the pollution control cost compensation [...] Read more.
This paper examines control and cooperation mechanisms for trans-regional air pollution using differential game theory. This study focuses on analyzing pollution control pathways in regions characterized by asymmetric economic development. Three models are constructed: the Nash non-cooperative game, the pollution control cost compensation mechanism, and the collaborative cooperation mechanism. These models are used to investigate optimal pollution control strategies for various regions. The findings indicate that the collaborative cooperation model substantially reduces pollution emissions and enhances overall benefits. Additionally, the pollution control cost compensation mechanism alleviates the burden of pollution control on less developed regions. Numerical analysis confirms the effectiveness of the proposed models and offers theoretical foundations and policy recommendations for regional cooperation in pollution prevention. Full article
(This article belongs to the Section Air Quality)
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<p>(<b>a</b>): Pollutant stock trajectories under three scenarios; (<b>b</b>): benefit trajectories of the two regions under non-cooperative and compensation mechanisms; (<b>c</b>): the total benefit trajectories of the two regions under three scenarios.</p>
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<p>(<b>a</b>): Impact of discount rate on pollutant stock; (<b>b</b>): impact of discount rate on the benefits of the two regions; (<b>c</b>): impact of discount rate on the total benefits of the two regions under three scenarios.</p>
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<p>(<b>a</b>): Impact trajectory of pollutants natural decomposition rate on pollutant stock; (<b>b</b>): impact trajectory of pollutants natural decomposition rate on the benefits of the two regions; (<b>c</b>): impact trajectory of pollutants natural decomposition rate on the total benefits of the two regions under three scenarios.</p>
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11 pages, 552 KiB  
Article
Anterior Vertebral Body Tethering (AVBT) in the Treatment of Adolescent Idiopathic Scoliosis: A Retrospective Study
by Massimo Balsano, Andrea Vacchiano, Mauro Spina, Federico Lodi, Pietro Criveller, Fabio Zoccatelli, Alberto Corbolini, Antonio Gioele Colombini, Alessio Campisi, Riccardo Giovannetti and Maurizio Valentino Infante
J. Clin. Med. 2024, 13(24), 7786; https://doi.org/10.3390/jcm13247786 - 20 Dec 2024
Viewed by 273
Abstract
Background/Objectives: Anterior Vertebral Body Tethering (AVBT) is a relatively novel minimally invasive surgical technique for the treatment of adolescent idiopathic scoliosis (AIS) that enables deformity correction of the spine diminishing vertebral motion reduction caused by the standard posterior spinal fusion approach. This [...] Read more.
Background/Objectives: Anterior Vertebral Body Tethering (AVBT) is a relatively novel minimally invasive surgical technique for the treatment of adolescent idiopathic scoliosis (AIS) that enables deformity correction of the spine diminishing vertebral motion reduction caused by the standard posterior spinal fusion approach. This paper reports the introduction of a new technical variant of AVBT, with the aim of evaluating its effectiveness on the correction of both axial and coronal spinal deformity. Methods: A single-centre single-surgeon retrospective cohort study was conducted. AVBTs were performed between 2020 and 2024. Radiographical values, surgical details, and complications of 67 patients affected by AIS were compared before surgery, immediately after surgery, and at the most recent follow-up. Results: Postoperative results have revealed a statistically significant coronal curve correction of 29.85% in the main thoracic (MT) curves (from mean preoperative width of 54.81 ± 11.86° to 38.45 ± 10.19°) and of 26.93% in the thoracolumbar (TL/L) curves (from 35.15 ± 11.83° to 25.69 ± 10.50°) in line with that obtained by the standard technique. Coronal correction at the most recent follow-up was maintained. Postoperative axial rotation reduction was found to be statistically significant in the main thoracic (MT) curves (from mean Nash-Moe value of 1.84 ± 0.71 to 1.36 ± 0.73), with a further decrease at the most recent follow-up compared with preoperative values. Improvement in other radiographical measures did not reach statistical significance and the complication rate was comparable to the standard technique. Conclusions: The extent of coronal correction in patients treated with the proposed modified AVBT technique is satisfactory and in line with results from studies testing the standard AVBT technique. The findings of this study seem to suggest that this technical variant of AVBT is effective in the correction of both axial and coronal deformity, with a surgical complication rate comparable to the standard technique. Full article
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<p>Graphical representation of the modified AVBT technique.</p>
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21 pages, 7505 KiB  
Article
Evaluating the Efficacy of Levetiracetam on Non-Cognitive Symptoms and Pathology in a Tau Mouse Model
by Jackson C. Thompson, Marselina Levis Rabi, Michelle Novoa, Kevin R. Nash and Aurelie Joly-Amado
Biomedicines 2024, 12(12), 2891; https://doi.org/10.3390/biomedicines12122891 - 19 Dec 2024
Viewed by 575
Abstract
Background/Objectives: Alzheimer’s disease (AD) is marked by amyloid-β plaques and hyperphosphorylated tau neurofibrillary tangles (NFTs), leading to cognitive decline and debilitating non-cognitive symptoms. This study aimed to evaluate compounds from four different classes in a short-term (7-day) study using transgenic tau mice to [...] Read more.
Background/Objectives: Alzheimer’s disease (AD) is marked by amyloid-β plaques and hyperphosphorylated tau neurofibrillary tangles (NFTs), leading to cognitive decline and debilitating non-cognitive symptoms. This study aimed to evaluate compounds from four different classes in a short-term (7-day) study using transgenic tau mice to assess their ability to reduce non-cognitive symptoms. The best candidate was then evaluated for longer exposure to assess non-cognitive symptoms, cognition, and pathology. Methods: Tg4510 mice, expressing mutated human tau (P301L), were administered with levetiracetam, methylphenidate, diazepam, and quetiapine for 7 days at 6 months old, when pathology and cognitive deficits are established. Drugs were given in the diet, and non-cognitive symptoms were evaluated using metabolic cages. Levetiracetam was chosen for longer exposure (3 months) in 3-month-old Tg4510 mice and non-transgenic controls to assess behavior and pathology. Results: After 3 months of diet, levetiracetam mildly reduced tau pathology in the hippocampus but did not improve cognition in Tg4510 mice. Interestingly, it influenced appetite, body weight, anxiety-like behavior, and contextual fear memory in non-transgenic animals but not in Tg4510 mice. Conclusions: While levetiracetam has shown benefits in amyloid deposition models, it had limited effects on tau pathology and behavior in an animal model of tau deposition, which is crucial for AD context. The differential effects on non-transgenic versus Tg4510 mice warrant further investigation. Full article
(This article belongs to the Topic Translational Advances in Neurodegenerative Dementias)
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<p>Total activity (counts) during the last 3 days of drug treatment at night and during the day in 6-month-old non-transgenic mice fed a control diet (ntg chow, white bar), and age-matched Tg4510 mice fed a control diet (chow, black bars) or a diet with diazepam, 0.5 mg/kg/d (dia, blue bars); levetiracetam, 40 mg/kg/d (lev, green bars); methylphenidate, 10 mg/kg/d (mph, yellow bars); or quetiapine, 5 mg/kg/d (quet, purple bars). Data are presented as mean ± SEM; <span class="html-italic">n</span> = 5–8/group. Statistical comparisons were performed using a two-way ANOVA followed by Fisher’s post hoc test: * <span class="html-italic">p</span> &lt; 0.05, ** <span class="html-italic">p</span> &lt; 0.01.</p>
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<p>Respiratory exchange rate, i.e., ratio of volume of CO<sub>2</sub> produced of O<sub>2</sub> consumed, (<b>A</b>) and energy expenditure (<b>B</b>) at night and during the day in 6-month-old non-transgenic mice fed a control diet (Ntg chow, white bar), and age-matched Tg4510 mice fed a control diet (chow, black bars) or a diet with diazepam, 0.5 mg/kg/d (Dia, blue bars); levetiracetam, 40 mg/kg/d (Lev, green bars); methylphenidate, 10 mg/kg/d (Mph, yellow bars); or quetiapine, 5 mg/kg/d (Quet, purple bars). Data are presented as mean ± SEM, <span class="html-italic">n</span> = 5–8/group. Statistical comparisons using two-way ANOVA followed by Fisher’s post hoc test.</p>
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<p>Weekly food intake (<b>A</b>) over the course of drug treatment and total fat mass (<b>B</b>) at the end of the treatment in 6-month-old mice non-transgenic mice fed a control diet (ntg chow, white bar) and age-matched Tg4510 mice fed a control diet (chow, black bars) or a diet with diazepam, 0.5 mg/kg/d (Dia, blue bars); levetiracetam, 40 mg/kg/d (Lev, green bars); methylphenidate, 10 mg/kg/d (Mph, yellow bars); and quetiapine, 5 mg/kg/d (Quet, purple bars). Data are presented as mean ± SEM, <span class="html-italic">n</span> = 5–8/group<tt>. </tt>Statistical comparisons using two-way ANOVA followed by Fisher’s post hoc test: * <span class="html-italic">p</span> &lt; 0.05.</p>
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<p>(<b>A</b>) Body weight, (<b>B</b>) brain weight, (<b>C</b>) food intake, and (<b>D</b>) adipose tissue weight comparisons between Ntg and Tg4510 mice fed chow (black bars) and a levetiracetam diet (lev, white bars). Statistical comparisons using two-way ANOVA followed by Fisher’s post hoc test: * <span class="html-italic">p</span> &lt; 0.05, *** <span class="html-italic">p</span> &lt; 0.001. Data are represented as means ± SEM.</p>
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<p>Open field test: (<b>A</b>) total distance traveled, (<b>B</b>) time in center, and (<b>C</b>) time in perimeter for Ntg and Tg4510 mice fed chow (black bars) and Lev diet (white bars). Statistical comparisons using two-way ANOVA followed by Fisher’s post hoc test: * <span class="html-italic">p</span> &lt; 0.05, ** <span class="html-italic">p</span> &lt; 0.01. Data are represented as means ± SEM.</p>
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<p>Latency to fall during Rotarod test represented as total time (<b>A</b>) and as trials (<b>B</b>) in Ntg and Tg4510 mice fed chow (black bars) and Lev diet (white bars). Statistical comparisons using two-way ANOVA followed by Fisher’s post hoc test and repeated measures ANCOVA: * <span class="html-italic">p</span> &lt; 0.05. Data are represented as means ± SEM.</p>
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<p>Radial arm water maze represented as blocks, with the average of number of errors per three trials (<b>A</b>) and total number of errors (<b>B</b>), and reversal represented as blocks (<b>C</b>) and total errors (<b>D</b>) in non-transgenic and Tg4510 mice fed chow (black bars) and a Lev diet (white bars). Statistical comparisons using two-way ANOVA followed by Fisher’s post hoc test or repeated measures ANOVA: ** <span class="html-italic">p</span> &lt; 0.01, *** <span class="html-italic">p</span> &lt; 0.001. Data are represented as means ± SEM.</p>
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<p>Cued (<b>A</b>) and contextual (<b>B</b>) fear conditioning tests with training (<b>C</b>) in Ntg and Tg4510 mice fed chow (black bars) and Lev diet (white bars). Statistical comparisons using two-way ANOVA followed by Fisher’s post hoc test or a repeated measures ANOVA: ** <span class="html-italic">p</span> &lt; 0.01. Data are represented as means ± SEM.</p>
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<p>Levetiracetam content in the brain (<b>A</b>) and plasma (<b>B</b>) following 3 months of treatment in Ntg and Tg4510 mice fed a Lev diet. Statistical comparisons using Student’s <span class="html-italic">t</span>-test. Data are represented as means ± SEM.</p>
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<p>(<b>A</b>) Quantification of band densitometry of total tau (Tau 46, H150), (<b>B</b>) tau phosphorylated at serine 396, and (<b>C</b>) serine 199 and 202 in the hippocampus of Tg4510 mice fed chow (black) and mice fed a Lev diet (white). (<b>D</b>) Micrograph representation of Western blotting with H150, pSer396, and pSer199/202 (pTau) markers. Statistical comparisons using <span class="html-italic">t</span>-test. Data are represented as means ± SEM. * <span class="html-italic">p</span> &lt; 0.05.</p>
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<p>Quantification (<b>A</b>) of positive area stained with Gallyas’ silver stain in the anterior cortex (ACX), hippocampus (HPC), and posterior cortex (PCX) in Tg4510 mice fed a control chow diet (black bars) or a levetiracetam diet (white bars) for 3 months. Micrographic representation of Gallyas’ silver stain (Nissl) in non-transgenic (Ntg) (<b>B</b>) and Tg4510 mice fed with a control chow diet (<b>C</b>) or a levetiracetam diet (<b>D</b>) for 3 months. Statistical comparisons using two-way ANOVA followed by Fisher’s post hoc test. Data are represented as means ± SEM. Scale bar 100 μm for main picture and 20 μm for insert.</p>
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<p>(<b>A</b>) Quantification of band densitometry for synaptic vesicle glycoprotein 2A (SV2A) in the hippocampus of Tg4510 mice fed chow (black) and mice fed a Lev diet (white). (<b>B</b>) Micrograph representation of Western blotting for SV2A and control proteins. Data are represented as means ± SEM. Statistical comparisons using two-way ANOVA followed by Tukey’s post hoc test. * <span class="html-italic">p</span> &lt; 0.05, ** <span class="html-italic">p</span> &lt; 0.01, ns: not significant.</p>
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<p>Quantification of band densitometry for synaptotagmin (<b>A</b>), PSD-95 (<b>B</b>), and synaptophysin (<b>C</b>) in the hippocampus of Tg4510 mice fed chow (black) and mice fed a Lev diet (white). Micrograph representation of Western blotting and total protein (<b>D</b>). Statistical comparisons using one-way ANOVA followed by Tukey’s post hoc test * <span class="html-italic">p</span> &lt; 0.05, ** <span class="html-italic">p</span> &lt; 0.01, *** <span class="html-italic">p</span> &lt; 0.001. Please note, synaptotagmin was probed on the same gel as pSer199/202 (<a href="#biomedicines-12-02891-f010" class="html-fig">Figure 10</a>); thus, the same total protein was used. We found no differences in non-transgenic mice fed a control diet or treated with Lev; therefore, these groups were pooled together for analysis.</p>
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9 pages, 240 KiB  
Article
Two-Player Nonzero-Sum Stochastic Differential Games with Switching Controls
by Yongxin Liu and Hui Min
Mathematics 2024, 12(24), 3976; https://doi.org/10.3390/math12243976 - 18 Dec 2024
Viewed by 317
Abstract
In this paper, a two-player nonzero-sum stochastic differential game problem is studied with both players using switching controls. A verification theorem associated with a set of variational inequalities is established as a sufficient criterion for Nash equilibrium, in which the equilibrium switching [...] Read more.
In this paper, a two-player nonzero-sum stochastic differential game problem is studied with both players using switching controls. A verification theorem associated with a set of variational inequalities is established as a sufficient criterion for Nash equilibrium, in which the equilibrium switching strategies for the two players, indicating when and where it is optimal to switch, are characterized in terms of the so-called switching regions and continuation regions. The verification theorem is proved in a piecewise way along the sequence of total decision times of the two players. Then, some detailed explanations are also provided to illustrate the idea why the conditions are imposed in the verification theorem. Full article
(This article belongs to the Section Probability and Statistics)
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<p>A graphical representation of <math display="inline"><semantics> <msub> <mi>D</mi> <mrow> <mn>1</mn> <mo>,</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>D</mi> <mrow> <mn>2</mn> <mo>,</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> </semantics></math>.</p>
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25 pages, 4524 KiB  
Article
Improving Dementia Home Caregiving and Restructuring the Dementia Narrative Through Creating a Graphic Memoir and Engaging in a Psychoanalytic Narrative Research Method
by Carol Nash
J. Ageing Longev. 2024, 4(4), 464-488; https://doi.org/10.3390/jal4040034 - 17 Dec 2024
Viewed by 471
Abstract
Informal dementia home caregiving is viewed negatively by society and can result in caregiver depression and anxiety from burnout, potentially compromising caregiving. Caregiver creation of a graphic memoir may help to mitigate the negative dementia narrative while engaging in it, and a psychoanalytic [...] Read more.
Informal dementia home caregiving is viewed negatively by society and can result in caregiver depression and anxiety from burnout, potentially compromising caregiving. Caregiver creation of a graphic memoir may help to mitigate the negative dementia narrative while engaging in it, and a psychoanalytic narratology method may reduce experienced depression and anxiety associated with burnout. This investigation examines writing, illustrating, and publishing a graphic memoir by one informal dementia home caregiver. As the mother of the illustrator and the editor and publisher of this graphic memoir, I provide the perspective of this investigation based on communications with the author and illustrator. My historical analysis, in which the author participated, represents psychoanalytic narrative research, serving as the historical method. The effects of writing, illustrating, and publishing the graphic memoir were able to reduce the informal dementia home caregivers’ symptoms during the entire process and extend the effect of this endeavor until the death of the mother. Engaging in the psychoanalytic narrative research process was additionally effective in this regard. The outcomes demonstrate the viability of writing and illustrating a publishable graphic memoir for other informal dementia home caregivers and the possibility of it and the narrative research method to help decrease their depression and anxiety regarding burnout. Full article
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<p>Cover of <span class="html-italic">Keeper of the Clouds</span> [<a href="#B72-jal-04-00034" class="html-bibr">72</a>] published by Tampold Publishing, a company owned and operated by me, the author of this article.</p>
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<p>Cover of <span class="html-italic">The Hallway Closet</span> [<a href="#B113-jal-04-00034" class="html-bibr">113</a>] published by Tampold Publishing, a company owned and operated by me, the author of this article.</p>
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<p>Bottom half of page 5 of <span class="html-italic">Keeper of the Clouds</span> [<a href="#B72-jal-04-00034" class="html-bibr">72</a>] published by Tampold Publishing, a company owned and operated by me, the author of this article.</p>
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<p>(<b>a</b>,<b>b</b>) Bottom half of the original page 3 of <span class="html-italic">Keeper of the Clouds</span> is on the left, and the final version of the bottom of page 3 (published by Tampold Publishing, a company owned and operated by me, the author of this article), is on the right [<a href="#B72-jal-04-00034" class="html-bibr">72</a>].</p>
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<p>The bottom half of page 12 of Keeper of the Clouds [<a href="#B61-jal-04-00034" class="html-bibr">61</a>]—a publication of Tampold Publishing, a company owned and operated by me, the author of this article.</p>
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26 pages, 4789 KiB  
Article
Analysis of the Interactive Game Between Manufacturers and Retailers Considering the Free-Riding Effect on the Internet
by Jiacai Liu, Tai Zhou, Wenjun Zhu and Qingfan Lin
Symmetry 2024, 16(12), 1666; https://doi.org/10.3390/sym16121666 - 16 Dec 2024
Viewed by 531
Abstract
Against the backdrop of an increasingly sound supply chain system and thriving e-commerce, it is becoming increasingly common for retailers to introduce their own brands of products and for manufacturers to open up direct online sales channels. The existence of these two supply [...] Read more.
Against the backdrop of an increasingly sound supply chain system and thriving e-commerce, it is becoming increasingly common for retailers to introduce their own brands of products and for manufacturers to open up direct online sales channels. The existence of these two supply chain decisions is complex and involves interactions. Moreover, the introduction of online direct sales channels will bring about differences in prices and service quality between channels, resulting in a free-riding effect on the internet. However, existing related research rarely considers the role of network free-riding effect in this supply chain system. This article integrates the network free-riding effect into the supply chain model by setting the network free-riding rate. According to whether retailers introduce their own brand products and manufacturers open up online direct sales channels, four supply chain scenarios are formed, and the reverse recursion method is used to obtain the profit functions for each of these four scenarios. Then, a Stackelberg game model is established to determine the response strategies of manufacturers and retailers based on the changes in profits of manufacturers caused by retailer decisions and the changes in profits of retailers caused by manufacturer decisions. Through analysis, it was discovered that a key factor affecting decision-making within the supply chain system is the retailer’s channel advantage. When the channel advantage of retailers is strong, manufacturers will open up online direct sales channels to weaken the channel advantage of retailers. Retailers will not introduce their own brand products but are more inclined to cooperate with manufacturers. When the channel advantage of retailers is weak, retailers will attract consumers and consolidate their channel advantage by introducing high-quality, low-priced private label products, while manufacturers will maintain cooperation with retailers and adopt a strategy of not opening up online direct sales channels. We also analyzed the Nash equilibrium state under different channel advantages of retailers. Full article
(This article belongs to the Section Mathematics)
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<p>Decision distribution of manufacturers and retailers.</p>
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<p>Profit changes in manufacturer strategy without retailer’s introduction of SB.</p>
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<p>Profit changes in manufacturer strategy with retailer’s introduction of SB.</p>
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<p>Profit changes in retail strategy without manufacturer direct sales channels.</p>
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<p>Trend of <math display="inline"><semantics> <mrow> <mmultiscripts> <mi>π</mi> <none/> <none/> <mprescripts/> <none/> <mi>a</mi> </mmultiscripts> <mmultiscripts> <mo>−</mo> <none/> <none/> <mprescripts/> <mi>r</mi> <none/> </mmultiscripts> <mmultiscripts> <mi>π</mi> <mi>r</mi> <none/> <mprescripts/> <none/> <mi>b</mi> </mmultiscripts> </mrow> </semantics></math> with <math display="inline"><semantics> <mi>δ</mi> </semantics></math> variation.</p>
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<p>Trend of <math display="inline"><semantics> <mrow> <mmultiscripts> <mi>π</mi> <none/> <none/> <mprescripts/> <none/> <mi>a</mi> </mmultiscripts> <mmultiscripts> <mo>−</mo> <none/> <none/> <mprescripts/> <mi>r</mi> <none/> </mmultiscripts> <mmultiscripts> <mi>π</mi> <mi>r</mi> <none/> <mprescripts/> <none/> <mi>b</mi> </mmultiscripts> </mrow> </semantics></math> with <math display="inline"><semantics> <mi>s</mi> </semantics></math> variation.</p>
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<p>Shows the mutation point of <math display="inline"><semantics> <mi>s</mi> </semantics></math> with <math display="inline"><semantics> <mrow> <mmultiscripts> <mi>π</mi> <none/> <none/> <mprescripts/> <none/> <mi>a</mi> </mmultiscripts> <mmultiscripts> <mo>−</mo> <none/> <none/> <mprescripts/> <mi>r</mi> <none/> </mmultiscripts> <mmultiscripts> <mi>π</mi> <none/> <none/> <mprescripts/> <none/> <mi>b</mi> </mmultiscripts> <mmultiscripts> <mo>&lt;</mo> <none/> <none/> <mprescripts/> <mi>r</mi> <none/> </mmultiscripts> <mn>0</mn> </mrow> </semantics></math> under the influence of <math display="inline"><semantics> <mi>δ</mi> </semantics></math>.</p>
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<p>Profit changes in retail strategies with manufacturer direct sales channels.</p>
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<p>The variation of <math display="inline"><semantics> <mrow> <mmultiscripts> <mi>π</mi> <none/> <none/> <mprescripts/> <none/> <mi>c</mi> </mmultiscripts> <mmultiscripts> <mo>−</mo> <none/> <none/> <mprescripts/> <mi>r</mi> <none/> </mmultiscripts> <mmultiscripts> <mi>π</mi> <mi>r</mi> <none/> <mprescripts/> <none/> <mi>d</mi> </mmultiscripts> </mrow> </semantics></math> with <math display="inline"><semantics> <mi>s</mi> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>c</mi> <mn>1</mn> </msub> </mrow> </semantics></math> when <math display="inline"><semantics> <mrow> <msub> <mi>c</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math>.</p>
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<p>The variation of <math display="inline"><semantics> <mrow> <mmultiscripts> <mi>π</mi> <none/> <none/> <mprescripts/> <none/> <mi>c</mi> </mmultiscripts> <mmultiscripts> <mo>−</mo> <none/> <none/> <mprescripts/> <mi>r</mi> <none/> </mmultiscripts> <mmultiscripts> <mi>π</mi> <mi>r</mi> <none/> <mprescripts/> <none/> <mi>d</mi> </mmultiscripts> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <msub> <mi>c</mi> <mn>1</mn> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>c</mi> <mn>2</mn> </msub> </mrow> </semantics></math> when <math display="inline"><semantics> <mrow> <mi>s</mi> <mo>=</mo> <mn>0.60</mn> </mrow> </semantics></math>.</p>
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<p>Game process of players in <a href="#sec5dot2-symmetry-16-01666" class="html-sec">Section 5.2</a>.</p>
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<p>Game process of players in <a href="#sec5dot3-symmetry-16-01666" class="html-sec">Section 5.3</a>.</p>
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<p>Game Matrix under Retailer Channel Advantage.</p>
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23 pages, 591 KiB  
Article
Strategic Traffic Management in Mixed Traffic Road Networks: A Methodological Approach Integrating Game Theory, Bilevel Optimization, and C-ITS
by Areti Kotsi, Ioannis Politis and Evangelos Mitsakis
Future Transp. 2024, 4(4), 1602-1624; https://doi.org/10.3390/futuretransp4040077 - 16 Dec 2024
Viewed by 419
Abstract
The integration of Connected Vehicles into conventional traffic systems presents significant challenges due to the diverse behaviors and objectives of different drivers. Conventional vehicle drivers typically follow User Equilibrium principles, aiming to minimize their individual travel times without considering the overall network impact. [...] Read more.
The integration of Connected Vehicles into conventional traffic systems presents significant challenges due to the diverse behaviors and objectives of different drivers. Conventional vehicle drivers typically follow User Equilibrium principles, aiming to minimize their individual travel times without considering the overall network impact. In contrast, Connected Vehicle drivers, guided by real-time information from central authorities or private service providers, can adopt System Optimum strategies or Cournot-Nash oligopoly behaviors, respectively. The coexistence of these distinct player classes in mixed-traffic environments complicates the task of achieving optimal traffic flow and network performance. This paper presents a comprehensive framework for optimizing mixed-traffic road networks through a multiclass traffic assignment model. The framework integrates three distinct types of players: conventional vehicle drivers adhering to User Equilibrium principles, Connected Vehicle drivers following System Optimum principles under a central governing authority, and Connected Vehicle drivers operating under Cournot-Nash oligopoly conditions with access to services from private companies. The methodology includes defining a model to achieve optimal mixed equilibria, designing an algorithm for multiclass traffic assignment, formulating strategic games to analyze player interactions, and establishing key performance indicators to evaluate network efficiency and effectiveness. The framework is applied to a real-world road network, validating its practicality and effectiveness through computational results. The extraction and analysis of computational results are used to propose optimal traffic management policies for mixed-traffic environments. The findings provide significant insights into the dynamics of mixed traffic networks and offer practical recommendations for improving traffic management in increasingly complex urban transportation systems. Full article
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Figure 1

Figure 1
<p>Framework structure.</p>
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<p>Simplified network.</p>
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