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Keywords = model sensitivity analysis

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14 pages, 768 KiB  
Article
Exploring Nonlinear Dynamics in Intertidal Water Waves: Insights from Fourth-Order Boussinesq Equations
by Hassan Almusawa, Musawa Yahya Almusawa, Adil Jhangeer and Zamir Hussain
Axioms 2024, 13(11), 793; https://doi.org/10.3390/axioms13110793 (registering DOI) - 16 Nov 2024
Abstract
The fourth-order nonlinear Boussinesq water wave equation, which describes the propagation of long waves in the intertidal zone, is investigated in this study. The exact wave patterns of the equation were computed using the tanh method. As stability decreased, soliton [...] Read more.
The fourth-order nonlinear Boussinesq water wave equation, which describes the propagation of long waves in the intertidal zone, is investigated in this study. The exact wave patterns of the equation were computed using the tanh method. As stability decreased, soliton wave structures were derived using similarity transformations. Numerical simulations supported these findings. The tanh method introduced a Galilean modification, leading to the discovery of several new exact solutions. Subsequently, the fourth-order nonlinear Boussinesq wave equation was transformed into a planar dynamical system using the travelling wave transformation. The quasi-periodic, cyclical, and nonlinear behaviors of the analyzed equation were particularly examined. Numerical simulations revealed that varying the physical parameters impacts the system’s nonlinear behavior. Graphs represent all possible examples of phase portraits in terms of these parameters. Furthermore, the study was proven to be highly beneficial for addressing issues such as shock waves and highly active travelling wave processes. Sensitivity analysis theory and the Lyapunov exponent were employed, offering a wide variety of linear periodic and first-frequency periodic characteristics. Sensitivity analysis and multistability analysis of the Boussinesq water wave equation were thoroughly investigated. Full article
17 pages, 7867 KiB  
Article
The Response of Cloud Precipitation Efficiency to Warming in a Rainfall Corridor Simulated by WRF
by Qi Guo, Yixuan Chen, Xiongyi Miao and Yupei Hao
Atmosphere 2024, 15(11), 1381; https://doi.org/10.3390/atmos15111381 (registering DOI) - 16 Nov 2024
Viewed by 62
Abstract
Due to model errors caused by local variations in cloud precipitation processes, there are still significant uncertainties in current predictions and simulations of short-duration heavy rainfall. To tackle this problem, the effects of warming on cloud-precipitation efficiency was analyzed utilizing a weather research [...] Read more.
Due to model errors caused by local variations in cloud precipitation processes, there are still significant uncertainties in current predictions and simulations of short-duration heavy rainfall. To tackle this problem, the effects of warming on cloud-precipitation efficiency was analyzed utilizing a weather research and forecasting (WRF) model. The analysis focused on a rainstorm corridor event that took place in July 2020. Rainstorm events from 4–6 July formed a narrow rain belt with precipitation exceeded 300 mm in the middle and lower reaches of the Yangtze River. Temperature sensitivity tests revealed that warming intensified the potential temperature gradient between north and south, leading to stronger upward motion on the front. It also strengthened the southwest wind, which resulted in more pronounced precipitation peaks. Warming led to a stronger accumulation and release of convective instability energy. Convective available potential energy (CAPE) and convective inhibition (CIN) both increased correspondingly with the temperature. The precipitation efficiency increased sequentially with 2 °C warming to 27.4%, 31.2%, and 33.1%. Warming can affect the cloud precipitation efficiency by both promoting and suppressing convective activity, which may be one of the reasons for the enhancement of extreme precipitation under global warming. The diagnostic relationship between upward moisture flux and lower atmospheric stability during precipitation evolution was also revealed. Full article
(This article belongs to the Section Meteorology)
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<p>Extent of the model’s inner and outer simulation area, topographic height (in m) distribution (<b>a</b>), and observed cumulative precipitation (in mm) for the 4–7 July 2020 precipitation process (<b>b</b>). The black boxes d01 and d02 in the figure indicate the first and second layers of the nested grid areas, respectively. The blue lines represent the Yellow River and the Yangtze River respectively.</p>
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<p>Cumulative precipitation distribution of the observed (OBS_MERG) and WRF simulations (Wrfout_CTL) from 4 July 2020 06:00 to 6 July 2020 18:00 (UTC) (<b>a</b>,<b>b</b>) and the zonal evolution of meridional mean precipitation (<b>c</b>,<b>d</b>), all in mm. The blue lines represent the Yellow River and the Yangtze River respectively.</p>
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<p>Temporal evolution of the mean precipitation (in mm) in the simulated domain of the inner grid d02, black lines are observations, and red lines are WRF simulations. The error bars indicate the regional mean standard deviation.</p>
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<p>Temporal evolution of the 850 hPa meteorological field during the two heavy precipitation events. The brown and blue areas are the ranges of equivalent potential temperatures (in K) exceeding 355 K and below 345 K, respectively. The contours in the figure are the radar reflectivity (in dBZ), and vectors with arrows indicate the horizontal wind field.</p>
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<p>The evolution of meridional vertical profiles for equivalent potential temperature (in K) is depicted by filled colors, and vertical velocity outlined by red contours (intervals of 5 m/s), along with zonal wind speed indicated by black contours with numbers (in m/s), in relation to the precipitation processes during two distinct precipitation events.</p>
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<p>Temporal evolution of mean precipitation (in mm) (<b>a</b>), CAPE (in J/kg) (<b>b</b>), CIN (in J/kg) (<b>c</b>), LCL (in m) (<b>d</b>) and LFC (in m) (<b>e</b>) in the d02 simulated domain for the three sets of temperature sensitivity tests from 4–7 July.</p>
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<p>Temporal evolution of the mean CAPE and CIN vertical profiles in the d02 simulation domain for three sets of temperature sensitivity tests. The filled color represents CAPE, the contour denotes CIN, and the units are all J/kg.</p>
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<p>Same as <a href="#atmosphere-15-01381-f005" class="html-fig">Figure 5</a>, but for the difference between the warming test and the cooling test (T + 2)—(CTL).</p>
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<p>Box chart of precipitation (in mm) (<b>a</b>), total water condensate (in g/kg) (<b>b</b>) and precipitation efficiency (in %) (<b>c</b>) with temperature sensitivity tests in the d02 simulation domain during the first precipitation.</p>
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<p>The box chart of CAPE (in J/kg) (<b>a</b>), CIN (in J/kg) (<b>b</b>), LTS (in K) (<b>c</b>), UMF (in g/m<sup>2</sup>/h) (<b>d</b>), LCL (in m) (<b>e</b>), and LFC (in m) (<b>f</b>) with temperature sensitivity test changes in the inner d02 simulation domain.</p>
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31 pages, 474 KiB  
Article
Analysis of a Mathematical Model of Zoonotic Visceral Leishmaniasis (ZVL) Disease
by Goni Umar Modu, Suphawat Asawasamrit, Abdulfatai Atte Momoh, Mathew Remilekun Odekunle, Ahmed Idris and Jessada Tariboon
Mathematics 2024, 12(22), 3574; https://doi.org/10.3390/math12223574 (registering DOI) - 15 Nov 2024
Viewed by 267
Abstract
This research paper attempts to describe the transmission dynamic of zoonotic visceral leishmaniasis with the aid of a mathematical model by considering the asymptomatic stages in humans and animals. The disease is endemic in several countries. Data used in the research are obtained [...] Read more.
This research paper attempts to describe the transmission dynamic of zoonotic visceral leishmaniasis with the aid of a mathematical model by considering the asymptomatic stages in humans and animals. The disease is endemic in several countries. Data used in the research are obtained from the literature while some are assumed based on the disease dynamic. The consideration of both asymptomatic and the symptomatic infected individuals is incorporated in both humans and animals (reservoir), as well as lines of treatment for the human population. It is found that the model has two fixed points; the VL-free fixed point and the VL-endemic fixed point. Stability analysis of the fixed points shows that the VL-free fixed point is globally asymptotically stable whenever the basic reproduction number is less than one and the VL-endemic fixed point is globally asymptotically stable whenever the basic reproduction number is greater than one. Sensitivity analysis is conducted for the parameters in the basic reproduction number, and the profile of each state variable is also depicted using the data obtained from the literature and those assumed. The transmission probability from infected sandflies to animals, transmission probability from infected animals to sandflies, per capita biting rate of sandflies of animals, and rate of transfer from symptomatic infected animals to the recovered class are among the most sensitive parameters that have the greatest influence on the basic reproduction number. Moreover, the value of the basic reproduction number is obtained to be 0.98951, which may require further study, as the margin between potential disease control and outbreak is thin. Full article
(This article belongs to the Special Issue Mathematical Biology and Its Applications to Disease Modeling)
20 pages, 6407 KiB  
Article
Prediction of Breakdown Pressure Using a Multi-Layer Neural Network Based on Supercritical CO2 Fracturing Data
by Xiufeng Zhang, Min Zhang, Shuyuan Liu and Heyang Liu
Appl. Sci. 2024, 14(22), 10545; https://doi.org/10.3390/app142210545 - 15 Nov 2024
Viewed by 249
Abstract
Hydraulic fracturing is a widely employed technique for stimulating unconventional shale gas reservoirs. Supercritical CO2 (SC-CO2) has emerged as a promising fracturing fluid due to its unique physicochemical properties. Existing theoretical models for calculating breakdown pressure often fail to accurately [...] Read more.
Hydraulic fracturing is a widely employed technique for stimulating unconventional shale gas reservoirs. Supercritical CO2 (SC-CO2) has emerged as a promising fracturing fluid due to its unique physicochemical properties. Existing theoretical models for calculating breakdown pressure often fail to accurately predict the outcomes of SC-CO2 fracturing due to the complex, nonlinear interactions among multiple influencing factors. In this study, we conducted fracturing experiments considering parameters such as fluid type, flow rate, temperature, and confining pressure. A fully connected neural network was then employed to predict breakdown pressure, integrating both our experimental data and published datasets. This approach facilitated the identification of key influencing factors and allowed us to quantify their relative importance. The results demonstrate that SC-CO2 significantly reduces breakdown pressure compared to traditional water-based fluids. Additionally, breakdown pressure increases with higher confining pressures and elevated flow rates, while it decreases with increasing temperatures. The multi-layer neural network achieved high predictive accuracy, with R, RMSE, and MAE values of 0.9482 (0.9123), 3.424 (4.421), and 2.283 (3.188) for training (testing) sets, respectively. Sensitivity analysis identified fracturing fluid type and tensile strength as the most influential factors, contributing 28.31% and 21.39%, respectively, followed by flow rate at 12.34%. Our findings provide valuable insights into the optimization of fracturing parameters, offering a promising approach to better predict breakdown pressure in SC-CO2 fracturing operations. Full article
(This article belongs to the Special Issue Development and Production of Oil Reservoirs)
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<p>Flow chart of the shale specimen preparation for the experiments. UCS denotes uniaxial compressive strength. <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">ϕ</mi> <mn>50</mn> <mo> </mo> <mo>*</mo> <mo> </mo> <mn>100</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">ϕ</mi> <mn>50</mn> <mo> </mo> <mo>*</mo> <mo> </mo> <mn>25</mn> </mrow> </semantics></math> denote cylindrical specimens with a diameter of 50 mm and heights of 100 mm and 25 mm, respectively. “<math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">ϕ</mi> </mrow> </semantics></math>” is the symbol that typically represents diameter, and “<math display="inline"><semantics> <mrow> <mo>*</mo> </mrow> </semantics></math>” is a notation for the dimension.</p>
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<p>Experimental apparatus used for hydraulic fracturing tests. AE refers to acoustic emission, while FPC stands for flexible printed circuit.</p>
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<p>Fracturing experiment schemes.</p>
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<p>Injection pressure versus time under various flow rates.</p>
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<p>Breakdown pressure under different fracturing schemes.</p>
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<p>Comparison between theoretical and experimental results. The areas shaded in green, blue, yellow, and red represent the scheme of fracturing fluid type, flow rate, temperature, and confining pressure, respectively. Black circle means the value of the breakdown pressure.</p>
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<p>Schematic diagram of a multi-layer neural network model.</p>
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<p>Performance of the neural network model on the training set: (<b>a</b>) Training loss curve, illustrating the model’s reduction in prediction error across epochs, which demonstrates the model’s learning process and its convergence toward minimizing error on known data; (<b>b</b>) training accuracy curve, showing the model’s predictive accuracy on the training set over epochs, indicating the model’s capacity to accurately capture the relationships between variables affecting breakdown pressure.</p>
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<p>Performance of the neural network model on the testing set: (<b>a</b>) Testing loss curve, showing the reduction in prediction error across epochs, which indicates the model’ ability to generalize and converge toward minimizing prediction error on unseen data; (<b>b</b>) testing accuracy curve, representing the model’s predictive accuracy on the testing set over epochs, reflecting its capability to generalize and correctly predict breakdown pressure under various experimental conditions.</p>
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<p>Correlation between actual values and predictive values: (<b>a</b>) Training dataset; (<b>b</b>) predicting dataset.</p>
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<p>Comparison of actual values and predictive values.</p>
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<p>The relative importance of influencing variables.</p>
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<p>Stress distribution leading to rock formation breakdown: (<b>a</b>) In situ circumferential stress field resulting from the maximum and minimum horizontal stresses; (<b>b</b>) circumferential stress induced by the injection pressure of the fracturing fluid within the wellbore; (<b>c</b>) circumferential stress attributed to pore pressure distribution throughout the rock mass; (<b>d</b>) total circumferential stress distribution after the superimposition of all three components [<a href="#B28-applsci-14-10545" class="html-bibr">28</a>].</p>
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21 pages, 1206 KiB  
Article
Optimal Carbon Pricing and Carbon Footprint in a Two-Stage Production System Under Cap-and-Trade Regulation
by Huo-Yen Tseng, Yung-Fu Huang, Chung-Jen Fu and Ming-Wei Weng
Mathematics 2024, 12(22), 3567; https://doi.org/10.3390/math12223567 - 15 Nov 2024
Viewed by 274
Abstract
Integrating low-carbon design into products is crucial for reducing carbon emissions throughout their life cycle and promoting sustainable development. Addressing the uncertainty in the carbon footprint resulting from the unknown choice of product material solutions. This paper considers ABC (activity-based costing) along with [...] Read more.
Integrating low-carbon design into products is crucial for reducing carbon emissions throughout their life cycle and promoting sustainable development. Addressing the uncertainty in the carbon footprint resulting from the unknown choice of product material solutions. This paper considers ABC (activity-based costing) along with the components’ carbon footprint and scrap return issues to illustrate the above challenge in a two-stage production-inventory system with imperfect processes. We determine the optimal production and sales strategies that maximize total profit per unit time. An algorithm is developed to identify these optimal solutions. To illustrate the effectiveness of the proposed model and algorithm, two numerical examples from the Taiwan die casting industry are presented. Additionally, a sensitivity analysis is conducted to provide valuable managerial insights. Full article
(This article belongs to the Special Issue Advances in Modern Supply Chain Management and Information Technology)
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<p>Graph of inventory levels for components and finished product.</p>
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<p>Algorithm 1 for generating the optimal solution.</p>
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<p>(<b>a</b>) Effect of <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">ρ</mi> </mrow> </semantics></math> on total profit per unit time (ABC). (<b>b</b>) Effect of <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">ρ</mi> </mrow> </semantics></math> on total profit per unit time (ABC).</p>
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17 pages, 5051 KiB  
Article
Negative Solvatochromism of the Intramolecular Charge Transfer Band in Two Structurally Related Pyridazinium—Ylids
by Mihaela Iuliana Avădănei, Antonina Griţco-Todiraşcu and Dana Ortansa Dorohoi
Symmetry 2024, 16(11), 1531; https://doi.org/10.3390/sym16111531 - 15 Nov 2024
Viewed by 258
Abstract
Two charge transfer compounds based on pyridazinium ylids were studied by electronic absorption spectroscopy in binary and ternary solutions, with the purpose of evaluating their descriptors of the first singlet excited state and to estimate the strength of the intermolecular interactions in protic [...] Read more.
Two charge transfer compounds based on pyridazinium ylids were studied by electronic absorption spectroscopy in binary and ternary solutions, with the purpose of evaluating their descriptors of the first singlet excited state and to estimate the strength of the intermolecular interactions in protic solvents. The molecular descriptors of the excited state were comparatively estimated using the variational method and the Abe model of diluted binary solutions. Analysis of electronic properties using density functional theory was performed for several key solvents, in order to understand the solvatochromic behavior. The DFT calculations revealed that, in the polar and strongly interacting solvents, the carbanion and the terminal group become a stronger electron acceptor. The bathochromic shift of the ICT band was confirmed using DFT calculus. The ability of the two ylids to recognize and discriminate the solvents was analyzed with principal component analysis and with cluster analysis. Although the study was performed in 24 solvents, the results showed that the ylids were most sensitive to alcohols, so they can be a useful tool to identify and classify different types of low-alcoholic solvents. Full article
(This article belongs to the Collection Feature Papers in Chemistry)
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<p>Energy minimized structures in the ground state of PPPyNiP and PyNiP in vacuo and with the corresponding atomic charges. Level of theory: DFT-ω-B97X-D/STO-3G/def2SV (carbon black; hydrogen grey; nitrogen blue; oxygen red).</p>
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<p>Plot of the Abe parameters B vs. A for (<b>a</b>) PPPyNiP and (<b>b</b>) PPNiP. The numbers correspond to the current numbering of the solvents listed in <a href="#symmetry-16-01531-t005" class="html-table">Table 5</a>.</p>
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<p>Graphical representation of <math display="inline"><semantics> <mrow> <mi>l</mi> <mi>n</mi> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mrow> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> </mstyle> </mrow> </semantics></math> vs. <math display="inline"><semantics> <mrow> <mi>l</mi> <mi>n</mi> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mrow> <msub> <mrow> <mi>x</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <msub> <mrow> <mi>x</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> </mstyle> </mrow> </semantics></math> for the binary solvents MeOH (1) + DMF (2) and MeOH (1) + DMSO (2) for: (<b>a</b>) PPPyNiP; (<b>b</b>) PyNiP.</p>
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<p>Graphical representation of <math display="inline"><semantics> <mrow> <mi>l</mi> <mi>n</mi> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mrow> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> </mstyle> </mrow> </semantics></math> vs. <math display="inline"><semantics> <mrow> <mi>l</mi> <mi>n</mi> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mrow> <msub> <mrow> <mi>x</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <msub> <mrow> <mi>x</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> </mstyle> </mrow> </semantics></math> for the binary solvents water (W) (1) + MeOH (2) and W (1) + EtOH (2) for (<b>a</b>) PPPyNiP and (<b>b</b>) PyNiP.</p>
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<p>The molecular electrostatic potential of PPPyNiP and PyNiP (isosurface value = 0.002).</p>
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<p>Energy diagram of the predicted frontier molecular orbitals of PPPyNiP (<b>a</b>) and PyNiP (<b>b</b>) and distribution of the electron density calculated for vacuo and three representative types of solvents: cyclohexane (CHX), methanol (MeOH), and dimethylsulfoxide (DMSO). Yellow regions correspond to the positive orbital phase, and the blue and red regions correspond to the negative orbital phase, respectively. Level of theory: DFT-ω-B97X-D/STO-3G/def2SV/IEF-PCM.</p>
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<p>The natural transition orbitals, HONTO and LUNTO, for the ICT transition of PPPyNiP, and the corresponding electronic density difference.</p>
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<p>The natural transition orbitals, HONTO and LUNTO, for the ICT transition of PyNiP, and the electronic density difference.</p>
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<p>PCA score plots for the response of PPPyNiP (<b>a</b>) and PyNiP (<b>b</b>) to twenty-four solvents. The first two factors were used, which describe around 85% of the total variance.</p>
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<p>2D <span class="html-italic">Louvain</span> clustering results for PPPyNiP in the principal component space.</p>
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<p>2D <span class="html-italic">Louvain</span> clustering results for PyNiP in the principal component space.</p>
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19 pages, 10002 KiB  
Article
Reliability Analysis of High-Pressure Tunnel System Under Multiple Failure Modes Based on Improved Sparrow Search Algorithm–Kriging–Monte Carlo Simulation Method
by Yingdong Wang, Chen Xing and Leihua Yao
Appl. Sci. 2024, 14(22), 10527; https://doi.org/10.3390/app142210527 - 15 Nov 2024
Viewed by 190
Abstract
It is often difficult for a structural safety design method based on deterministic analysis to fully and reasonably reflect the randomness of mechanical parameters, while the traditional reliability analysis method has a large calculation cost and low accuracy. In this paper, based on [...] Read more.
It is often difficult for a structural safety design method based on deterministic analysis to fully and reasonably reflect the randomness of mechanical parameters, while the traditional reliability analysis method has a large calculation cost and low accuracy. In this paper, based on the seepage–stress coupling numerical model, the random variables affecting the reliability of the collaborative bearing of surrounding rock and lining structures are successfully identified. Then, the improved sparrow search algorithm (ISSA) is used to optimize the hyper-parameters of the Kriging surrogate model, in order to improve the computational efficiency and accuracy of the reliability analysis model. Finally, the ISSA-Kriging-MCS model is used to quantitatively evaluate the reliability of the surrounding rock-reinforced concrete lining structure under multiple failure modes, and the sensitivity of each random variable is discussed in depth. The results show that the high-pressure tunnel structure has high safety and reliability. The reliability indexes of each failure mode decrease with the increase in the coefficient of variation (COV) of random variables. In addition, the same random variable also exhibits varying degrees of influence in different failure modes. Full article
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<p>LHS process diagram.</p>
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<p>Reliability analysis flow chart.</p>
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<p>Example 1 real response surface. (<b>a</b>) Real response surface. (<b>b</b>) Limit state surface.</p>
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<p>Example 2: real response surface.</p>
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<p>Survey and location map of studied area [<a href="#B27-applsci-14-10527" class="html-bibr">27</a>].</p>
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<p>The computational grid model. (<b>a</b>) A diagram of the overall model grid division. (<b>b</b>) A schematic diagram of the lining grid.</p>
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<p>The relationship between axial stress and mechanical parameters.</p>
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<p>The response surface of each random variable to the calculation results. The change in color gradient of all response surface plots (from bottom to top) represents the increasing reliability of the system.</p>
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<p>The response surface of each random variable to the calculation results. The change in color gradient of all response surface plots (from bottom to top) represents the increasing reliability of the system.</p>
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<p>Sensitivity analysis curve of failure mode 1.</p>
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<p>Sensitivity analysis curve of failure mode 2.</p>
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<p>Sensitivity analysis curve of failure mode 3.</p>
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<p>The variation curves of random variables under different failure modes.</p>
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35 pages, 2044 KiB  
Article
Applying Analytical Hierarchy Process (AHP) to BIM-Based Risk Management for Optimal Performance in Construction Projects
by Khaled Jameel Aladayleh and Mohammad J. Aladaileh
Buildings 2024, 14(11), 3632; https://doi.org/10.3390/buildings14113632 - 15 Nov 2024
Viewed by 404
Abstract
This study explores integrating Building Information Modeling (BIM) technology into risk management practices for construction projects, aiming to enhance project performance through improved risk identification, assessment, and mitigation. The research employs the Analytical Hierarchy Process (AHP) to prioritize BIM-based strategies across multiple risk [...] Read more.
This study explores integrating Building Information Modeling (BIM) technology into risk management practices for construction projects, aiming to enhance project performance through improved risk identification, assessment, and mitigation. The research employs the Analytical Hierarchy Process (AHP) to prioritize BIM-based strategies across multiple risk management dimensions, including technical, financial, sustainability, and time management. The findings demonstrate that BIM-based financial strategies rank highest among BIM-driven risk management, followed by sustainability and time. In contrast, technical, operation, and maintenance capabilities have the lowest rank. Given the high priority of BIM financial strategies, they have been applied to conduct sensitivity analysis; the sensitivity analysis results demonstrate the dynamic nature of a BIM sub-criteria strategy in response to changes in the weight of financial considerations. As financial concerns diminish, the shift towards sustainability, health, safety, and time efficiency underscores the importance of a more balanced approach in BIM strategy prioritization. BIM-based risk management improves project outcomes by enabling real-time data-driven decision-making, enhancing stakeholder collaboration and optimizing resource use, cost control, and sustainability. This research contributes to theoretical and practical advancements in construction risk management, suggesting that BIM can be a transformative tool for optimizing project performance while addressing the complexities and uncertainties inherent in the construction industry. Full article
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<p>The research methodology’s sequencing steps.</p>
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<p>Hierarchal model of BIM strategies.</p>
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<p>Eigenvector Values of BIM strategies.</p>
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<p>BIM sub-strategies’ global weight (GW) and cumulative weight in increasing order.</p>
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<p>BIM criteria change with the varying weight of the financial criterion (BIM_3).</p>
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16 pages, 4167 KiB  
Article
Magnetic Resonance Imaging Texture Analysis Based on Intraosseous and Extraosseous Lesions to Predict Prognosis in Patients with Osteosarcoma
by Yu Mori, Hainan Ren, Naoko Mori, Munenori Watanuki, Shin Hitachi, Mika Watanabe, Shunji Mugikura and Kei Takase
Diagnostics 2024, 14(22), 2562; https://doi.org/10.3390/diagnostics14222562 - 15 Nov 2024
Viewed by 254
Abstract
Objectives: To construct an optimal magnetic resonance imaging (MRI) texture model to evaluate histological patterns and predict prognosis in patients with osteosarcoma (OS). Methods: Thirty-four patients underwent pretreatment MRI and were diagnosed as having OS by surgical resection or biopsy between September 2008 [...] Read more.
Objectives: To construct an optimal magnetic resonance imaging (MRI) texture model to evaluate histological patterns and predict prognosis in patients with osteosarcoma (OS). Methods: Thirty-four patients underwent pretreatment MRI and were diagnosed as having OS by surgical resection or biopsy between September 2008 and June 2018. Histological patterns and 3-year survival were recorded. Manual segmentation was performed in intraosseous, extraosseous, and entire lesions on T1-weighted, T2-weighted, and contrast-enhanced T1-weighted images to extract texture features and perform principal component analysis. A support vector machine algorithm with 3-fold cross-validation was used to construct and validate the models. The area under the receiver operating characteristic curve (AUC) was calculated to evaluate diagnostic performance in evaluating histological patterns and 3-year survival. Results: Eight patients were chondroblastic and the remaining twenty-six patients were non-chondroblastic patterns. Twenty-seven patients were 3-year survivors, and the remaining seven patients were non-survivors. In discriminating chondroblastic from non-chondroblastic patterns, the model from extraosseous lesions on the T2-weighted images showed the highest diagnostic performance (AUCs of 0.94 and 0.89 in the training and validation sets). The model from intraosseous lesions on the T1-weighted images showed the highest diagnostic performance in discriminating 3-year non-survivors from survivors (AUCs of 0.99 and 0.88 in the training and validation sets) with a sensitivity, specificity, positive predictive value, and negative predictive value of 85.7%, 92.6%, 75.0%, and 96.2%, respectively. Conclusions: The texture models of extraosseous lesions on T2-weighted images can discriminate the chondroblastic pattern from non-chondroblastic patterns, while the texture models of intraosseous lesions on T1-weighted images can discriminate 3-year non-survivors from survivors. Full article
(This article belongs to the Special Issue Deep Learning in Medical Image Segmentation and Diagnosis)
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<p>A 14-year-old female with histologically proven osteosarcoma (chondroblastic pattern) in the left femur. Manual segmentations for different lesion compartments are performed separately on the T1W, T2W, and CE-T1W images. For intraosseous lesions, the regions of interest (ROIs) were placed on the T1W images with reference to the T2W and CE-T1W images (yellow). Intramedullary heterogeneous hypo-intensity to iso-intensity on the T1W images and patchy hypo-intensity to iso-intensity on the T2W images are considered intraosseous lesions. For extraosseous lesions, the ROIs are placed on the T2W images with reference to the T1W and CE-T1W images (blue). Soft tissue masses showing iso-intensity on the T1W images and iso-intensity to hyper-intensity on the T2W images with enhancement on the CE-T1W images are considered extraosseous lesions (asterisk). The involved cortical bone showing iso-to-hyper-intensity alongside the intramedullary cavity on the T1W and T2W images is determined as extraosseous lesions. Finally, the ROIs for intraosseous and extraosseous lesions are combined to obtain the ROI for the entire lesion (purple).</p>
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<p>Haralick’s texture features extraction conceptual diagram. (<b>A</b>) Conceptual representation of texture features extracted from the grey-level co-occurrence matrix (GLCM), illustrating the frequency calculation of relative grey-level values between pixels in various directions and distances. (<b>B</b>) Explanation of derived texture indicators such as contrast, uniformity, and entropy based on the GLCM data.</p>
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<p>Model construction from each lesion compartment for each sequence and 3-sequence combination. A total of 12 texture models are developed using the texture features extracted from each lesion compartment in each sequence (nine models) and the texture features extracted from each lesion compartment in the 3-sequence combination (three models). Four models are constructed to evaluate intraosseous lesions—T1_intra, T2_intra, CE-T1_intra, and 3-Sequence_intra; four models to evaluate extraosseous lesions—T1_extra, T2_extra, CE-T1_extra, and 3-Sequence_extra; and four models for entire lesions—T1_entire, T2_entire, CE-T1_entire, and 3-Sequence_entire.</p>
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<p>Diagnostic performance of the 12 texture models using the support vector machine (SVM) algorithm for the training and validation sets in discriminating the chondroblastic pattern from non-chondroblastic patterns (8 vs. 26). Model T1_intra is constructed using the texture features extracted from intraosseous lesions on the T1-weighted images. The other models are constructed similarly. Model T2_extra showed the highest diagnostic performance among the 12 models (AUCs of 0.94 and 0.89 in the training and validation sets).</p>
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<p>Diagnostic performance of the 12 texture models using the support vector machine (SVM) algorithm for the training and validation sets in predicting 3-year survival (non-survivors vs. survivors, 7 vs. 27). Model T1_intra is constructed using the texture features extracted from intraosseous lesions on the T1-weighted images. The other models are constructed similarly. Model T1_intra showed the highest diagnostic performance among the 12 models (AUCs of 0.99 and 0.88 in the training and validation sets).</p>
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10 pages, 4055 KiB  
Article
Accurately Identifying Sound vs. Rotten Cranberries Using Convolutional Neural Network
by Sayed Mehedi Azim, Austin Spadaro, Joseph Kawash, James Polashock and Iman Dehzangi
Information 2024, 15(11), 731; https://doi.org/10.3390/info15110731 - 15 Nov 2024
Viewed by 293
Abstract
Cranberries, native to North America, are known for their nutritional value and human health benefits. One hurdle to commercial production is losses due to fruit rot. Cranberry fruit rot results from a complex of more than ten filamentous fungi, challenging breeding for resistance. [...] Read more.
Cranberries, native to North America, are known for their nutritional value and human health benefits. One hurdle to commercial production is losses due to fruit rot. Cranberry fruit rot results from a complex of more than ten filamentous fungi, challenging breeding for resistance. Nonetheless, our collaborative breeding program has fruit rot resistance as a significant target. This program currently relies heavily on manual sorting of sound vs. rotten cranberries. This process is labor-intensive and time-consuming, prompting the need for an automated classification (sound vs. rotten) system. Although many studies have focused on classifying different fruits and vegetables, no such approach has been developed for cranberries yet, partly because datasets are lacking for conducting the necessary image analyses. This research addresses this gap by introducing a novel image dataset comprising sound and rotten cranberries to facilitate computational analysis. In addition, we developed CARP (Cranberry Assessment for Rot Prediction), a convolutional neural network (CNN)-based model to distinguish sound cranberries from rotten ones. With an accuracy of 97.4%, a sensitivity of 97.2%, and a specificity of 97.2% on the training dataset and 94.8%, 95.4%, and 92.7% on the independent dataset, respectively, our proposed CNN model shows its effectiveness in accurately differentiating between sound and rotten cranberries. Full article
(This article belongs to the Special Issue Feature Papers in Artificial Intelligence 2024)
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<p>Instances of rotten and sound cranberry scanned images.</p>
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<p>The general architecture of our proposed CNN-based model (CARP).</p>
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<p>Receiver operating characteristic (ROC) curves for (<b>a</b>) five-fold CV on training dataset and (<b>b</b>) independent dataset.</p>
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23 pages, 1244 KiB  
Article
Secure and Flexible Privacy-Preserving Federated Learning Based on Multi-Key Fully Homomorphic Encryption
by Jiachen Shen, Yekang Zhao, Shitao Huang and Yongjun Ren
Electronics 2024, 13(22), 4478; https://doi.org/10.3390/electronics13224478 - 14 Nov 2024
Viewed by 325
Abstract
Federated learning avoids centralizing data in a central server by distributing the model training process across devices, thus protecting privacy to some extent. However, existing research shows that model updates (e.g., gradients or weights) exchanged during federated learning may still indirectly leak sensitive [...] Read more.
Federated learning avoids centralizing data in a central server by distributing the model training process across devices, thus protecting privacy to some extent. However, existing research shows that model updates (e.g., gradients or weights) exchanged during federated learning may still indirectly leak sensitive information about the original data. Currently, single-key homomorphic encryption methods applied in federated learning cannot solve the problem of privacy leakage that may be caused by the collusion between the participant and the federated learning server, whereas existing privacy-preserving federated learning schemes based on multi-key homomorphic encryption in semi-honest environments have deficiencies and limitations in terms of security and application conditions. To this end, this paper proposes a privacy-preserving federated learning scheme based on multi-key fully homomorphic encryption to cope with the potential risk of privacy leakage in traditional federated learning. We designed a multi-key fully homomorphic encryption scheme, mMFHE, that encrypts by aggregating public keys and requires all participants to jointly participate in decryption sharing, thus ensuring data security and privacy. The proposed privacy-preserving federated learning scheme encrypts the model updates through multi-key fully homomorphic encryption, ensuring confidentiality under the CRS model and in a semi-honest environment. As a fully homomorphic encryption scheme, mMFHE supports homomorphic addition and homomorphic multiplication for more flexible applications. Our security analysis proves that the scheme can withstand collusive attacks by up to N1 users and servers, where N is the total number of users. Performance analysis and experimental results show that our scheme reduces the complexity of the NAND gate, which reduces the computational load and improves the efficiency while ensuring the accuracy of the model. Full article
(This article belongs to the Special Issue Novel Methods Applied to Security and Privacy Problems, Volume II)
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<p>Model of mMFHE-based PPFL scheme.</p>
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<p>Encryption process.</p>
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<p>Decryption process.</p>
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<p>Encryption and decryption.</p>
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<p>Addition.</p>
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<p>Multiplication.</p>
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<p>Memory consumption.</p>
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<p>Model accuracy.</p>
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26 pages, 24144 KiB  
Article
Machining Characteristics During Short Hole Drilling of Titanium Alloy Ti10V2Fe3Al
by Michael Storchak
Materials 2024, 17(22), 5569; https://doi.org/10.3390/ma17225569 - 14 Nov 2024
Viewed by 222
Abstract
The single-phase titanium ß-alloy Ti10V2Fe3Al (Ti-1023) has been widely used in the aerospace industry due to its unique mechanical properties, which include high fatigue strength and fracture toughness, as well as high corrosion resistance. On the other hand, these unique properties significantly hinder [...] Read more.
The single-phase titanium ß-alloy Ti10V2Fe3Al (Ti-1023) has been widely used in the aerospace industry due to its unique mechanical properties, which include high fatigue strength and fracture toughness, as well as high corrosion resistance. On the other hand, these unique properties significantly hinder the cutting processes of this material, especially those characterized by a closed machining process area, such as drilling. This paper is devoted to the study of the short hole drilling process of the above-mentioned titanium alloy using direct measurements and numerical modeling. Measurements of the cutting force components in the drilling process and determination of the resultant cutting force and total cutting power were performed. The macro- and microstructure of chips generated during drilling were analyzed, and the dependence of the chip compression ratio and the distance between neighboring segments of serrated chips on cutting speed and drill feed was determined. Experimental studies were supplemented by determining the temperature on the lateral clearance face of the drill’s outer cutting insert in dependence on the cutting modes. For the modeling of the drilling process using the finite element model, the parameters of the triad of component submodels of the numerical model were determined: the machined material model, the model of contact interaction between the tool and the machined material, and the fracture model of the machined material. The determination of these parameters was performed through the DOE sensitivity analysis. The target values for performing this analysis were the total cutting power and the distance between neighboring chip segments. The maximum deviation between the simulated and experimentally determined values of the resulting cutting force is no more than 25%. At the same time, the maximum deviation between the measured values of the temperature on the lateral clearance face of the drill’s outer cutting insert and the corresponding simulated values is 26.1%. Full article
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<p>Methodology scheme for determining the thermo-mechanical characteristics of the short hole drilling process.</p>
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<p>Preparatory operations for chip microstructure analysis: (<b>a</b>) slice of chips; (<b>b</b>) initial microstructure of the machined material.</p>
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<p>Chip microstructure example.</p>
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<p>Initial geometric model of drilling process with mesh and boundary conditions, as well as with generated chip.</p>
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<p>Dependence of cutting force components, their resultant, and cutting power on cutting speed and drill feed: (<b>a</b>) influence of cutting modes on the <span class="html-italic">F<sub>XY</sub></span> component of cutting force; (<b>b</b>) influence of cutting modes on the <span class="html-italic">F<sub>Z</sub></span> component of cutting force; (<b>c</b>) influence of cutting modes on the resultant cutting force <span class="html-italic">F<sub>C</sub></span>; (<b>d</b>) influence of cutting modes on the cutting power <span class="html-italic">P<sub>C</sub></span>.</p>
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<p>Chip shapes produced during short holes drilling in the titanium alloy Ti-1023: (<b>a</b>) chip shape formed by the outer cutting insert; (<b>b</b>) chip shape formed by the inner cutting insert.</p>
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<p>Influence of cutting speed and drill feed on chip compression ratio: (<b>a</b>) for the outer cutting insert; (<b>b</b>) for the inner cutting insert.</p>
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<p>Effect of cutting speed and drill feed on the distance between neighboring segments of the generated chip: (<b>a</b>) influence of cutting modes on the distance between neighboring segments of the chip generated by the outer cutting insert; (<b>b</b>) influence of cutting modes on the distance between neighboring segments of the chip generated by the inner cutting insert.</p>
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<p>Effect of cutting modes on the temperature of the lateral clearance face of the outer cutting insert.</p>
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<p>Results of the DOE sensitivity analysis for determining the constitutive equation parameters: (<b>a</b>) results of the first iteration of the DOE analysis; (<b>b</b>) results of the second iteration of the DOE analysis.</p>
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<p>Effect of the critical damage stress in the machined material on the distance between neighboring chip segments.</p>
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<p>Variation of drilling process characteristics over simulation time: (<b>a</b>) variation in the cutting force axial component; (<b>b</b>) temperature change on the lateral rear face of the outer insert.</p>
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<p>A simulation example of chip formation during drilling using an inner cutting insert.</p>
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<p>Effect of cutting modes on the temperature of chips generated by the drill’s outer and inner cutting inserts: (<b>a</b>) for the outer cutting insert; (<b>b</b>) for the inner cutting insert.</p>
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<p>Comparison of the simulated and measured values of the resulting cutting force at different cutting speeds: (<b>a</b>) at a drill feed of 0.05 mm/rev; (<b>b</b>) at a drill feed of 0.15 mm/rev.</p>
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<p>Comparison of the simulated and measured values of the temperature on the lateral back face of the drill’s outer cutting insert at different cutting speeds: (<b>a</b>) at a drill feed of 0.05 mm/rev; (<b>b</b>) at a drill feed of 0.15 mm/rev.</p>
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17 pages, 2137 KiB  
Article
Validation of a Set of Clinical Criteria for the Diagnosis of Secondary Progressive Multiple Sclerosis
by Alin Ciubotaru, Daniel Alexa, Cristina Grosu, Lilia Böckels, Ioana Păvăleanu, Alexandra Maștaleru, Maria Magdalena Leon, Roxana Covali, Emanuel Matei Roman, Cătălina Elena Bistriceanu, Cristina Mihaela Ghiciuc, Doina Azoicăi and Emilian Bogdan Ignat
Brain Sci. 2024, 14(11), 1141; https://doi.org/10.3390/brainsci14111141 - 14 Nov 2024
Viewed by 271
Abstract
Background/Objectives: Multiple sclerosis (MS) is a chronic inflammatory disease of the central nervous system characterized by progressive impairment of neuronal transmission due to focal demyelination. The most common form is RRMS (relapsing-remitting multiple sclerosis), which, under the influence of certain factors, can [...] Read more.
Background/Objectives: Multiple sclerosis (MS) is a chronic inflammatory disease of the central nervous system characterized by progressive impairment of neuronal transmission due to focal demyelination. The most common form is RRMS (relapsing-remitting multiple sclerosis), which, under the influence of certain factors, can progress to SPMS (secondary progressive multiple sclerosis). Our study aimed to validate the criteria proposed by a working group of the Romanian Society of Neurology versus the criteria proposed by a group of experts from Spain, Karolinska, and Croatia concerning the progression from RRMS to SPMS. Methods: This was done by gathering epidemiological data (age, gender) and by applying clinical tests such as the 9HPT (9-hole peg test), 25FWT (25-foot walk test), and EDSS (expanded disability status scale) tests and the SDMT test (symbol digit modalities test). The present research is a cohort study that included a number of 120 patients diagnosed with MS according to the McDonald Diagnostic Criteria 2017. The study was carried out between January 2023 and April 2024, including patients hospitalized in the Neurology Clinic of the Clinical Rehabilitation Hospital from Iasi, Romania. The data were collected at baseline (T0) and at a 12-month interval (T1). Results: The statistical analysis was conducted using Kaiser–Meyer–Olkin analysis, which indicated a value of 0.683, thus validating the clinical tests used. The correlation matrix and the linear regression for all the tests showed highly significant statistical results. Furthermore, the ROC curve analysis of the criteria suggested by the working group of the Romanian Society of Neurology demonstrated that the EDSS, 9HPT, and 25FWT are highly sensitive in diagnosing SPMS, an opinion that is shared with the Spanish experts, but not with the Karolinska expert panel. Using the criteria given by the Croatian expert group in the ROC curve analysis showed that only the EDSS was strongly significant for the progression to the SPMS phase. Conclusions: In conclusion, all clinical methods used demonstrated that they are valid and can contribute to identifying patients with an increased risk of progression. The model proposed by the Romanian Society of Neurology working group is similar to other countries’ expert opinions and can be used to detect the risk of disease progression and establish a more tailored therapeutic management of SPMS. Full article
(This article belongs to the Section Neuropharmacology and Neuropathology)
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<p>Regression line regarding the correlation between the EDSS score at T0 and T1.</p>
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<p>Regression line regarding the correlation at T0 and T1 for 9HPT, 25 FWT, and SDMT.</p>
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<p>Regression line regarding the correlation at T0 and T1 for 9HPT, 25 FWT, and SDMT.</p>
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<p>ROC curve in relation to the types of ”events” that define the form of SPMS according to the criteria of the working group of the Romanian Society of Neurology.</p>
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<p>The ROC curve in relation to the types of “events” that define the type of the SPMS according to the criteria of the Spanish “expert” group.</p>
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<p>The ROC curve in relation to the types of ”event” that define the type of SPMS according to the Karolinka expert group criteria.</p>
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<p>The ROC curve in relation to the types of “events” that define the shape of the SPMS according to the criteria of the Croatian expert group.</p>
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15 pages, 2232 KiB  
Article
Artificial Intelligence Applied in Early Prediction of Lower Limb Fracture Complications
by Aurelian-Dumitrache Anghele, Virginia Marina, Liliana Dragomir, Cosmina Alina Moscu, Iuliu Fulga, Mihaela Anghele and Cristina-Mihaela Popescu
Clin. Pract. 2024, 14(6), 2507-2521; https://doi.org/10.3390/clinpract14060197 - 14 Nov 2024
Viewed by 239
Abstract
Background: Artificial intelligence has become a valuable tool for diagnosing and detecting postoperative complications early. Through imaging and biochemical markers, clinicians can anticipate the clinical progression of patients and the risk of long-term complications that could impact the quality of life or [...] Read more.
Background: Artificial intelligence has become a valuable tool for diagnosing and detecting postoperative complications early. Through imaging and biochemical markers, clinicians can anticipate the clinical progression of patients and the risk of long-term complications that could impact the quality of life or even be life-threatening. In this context, artificial intelligence is crucial for identifying early signs of complications and enabling clinicians to take preventive measures before problems worsen. Materials and methods: This observational study analyzed medical charts from the electronic archive of the Clinical Emergency Hospital in Galați, Romania, covering a four-year period from 2018 to 2022. A neural network model was developed to analyze various socio-demographic and paraclinical data. Key features included patient demographics, laboratory investigations, and clinical outcomes. Statistical analyses were performed to identify significant risk factors associated with deep venous thrombosis (DVT). Results: The analysis revealed a higher prevalence of female patients (60.78%) compared to male patients, indicating a potential gender-related risk factor for DVT. The incidence of DVT was highest among patients aged 71 to 90 years, affecting 56.86% of individuals in this age group, suggesting that advanced age significantly contributes to the risk of developing DVT. Additionally, among the DVT patients, 15.69% had a body mass index (BMI) greater than 30, categorizing them as obese, which is known to increase the risk of thrombotic events. Furthermore, this study highlighted that the highest frequency of DVT was associated with femur fractures, occurring in 52% of patients with this type of injury. The neural network analysis indicated that elevated levels of direct bilirubin (≥1.5 mg/dL) and prothrombin activity (≤60%) were strong predictors of fracture-related complications, with sensitivity and specificity rates of 78% and 82%, respectively. These findings underscore the importance of monitoring these laboratory markers in at-risk populations for early intervention. Conclusions: This study identified critical risk factors for developing DVT, including advanced age, high BMI, and femur fractures, which necessitate longer recovery periods. Additionally, the findings indicate that elevated direct bilirubin and prothrombin activity play a significant role in predicting DVT development. These results suggest that AI can effectively enhance the anticipation of clinical evolution in patients, aiding in early intervention and management strategies. Full article
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<p>Patients who developed DVT during hospitalization.</p>
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<p>Gender distribution of DVTs.</p>
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<p>Distribution of patients by age.</p>
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<p>Fracture location distribution in DVT patients.</p>
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<p>BMI over thirty distributions in the DVT cohort.</p>
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<p>DVT percentage in patients with lower limb fracture.</p>
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<p>DVT percentage in different fracture locations.</p>
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17 pages, 3001 KiB  
Article
Optimal Configuration of Soft Open Point and Energy Storage Based on Snowflake-Shaped Grid Characteristics and Sensitivity Analysis
by Zhe Wang, Zhang Zhang, Fengzhang Luo, Xiaoyu Qiu, Xuefei Zhang and Jiali Duan
Appl. Sci. 2024, 14(22), 10503; https://doi.org/10.3390/app142210503 - 14 Nov 2024
Viewed by 262
Abstract
With the continuous penetration of flexible resources, the distribution network is gradually forming a two-way interactive supply and demand relationship with the transmission network and users. The deployment of soft open point (SOP) and energy storage represents a crucial strategy for voltage regulation [...] Read more.
With the continuous penetration of flexible resources, the distribution network is gradually forming a two-way interactive supply and demand relationship with the transmission network and users. The deployment of soft open point (SOP) and energy storage represents a crucial strategy for voltage regulation and power flow control in distribution networks. This article puts forth a methodology for optimizing the configuration of SOP and energy storage based on the characteristics of the snowflake-shaped grid and sensitivity analysis. Firstly, the location of the SOP is determined based on the characteristics of the interconnection nodes between snowflake websites. Secondly, the voltage sensitivity analysis is employed to identify nodes that have a significant impact on the system voltage distribution, thereby enabling the selection of an optimal energy storage site. Subsequently, a multi-objective optimization configuration model for SOP and energy storage is established, taking into account the economic efficiency and load balancing of the power grid. Finally, the method is verified using a snowflake-shaped grid in Tianjin. In comparison with the plan that solely considers the economic aspects of the power grid, the method proposed in this article can reduce the degree of load balancing by 50.93% while simultaneously increasing the annual comprehensive cost by only 24.35%. Full article
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<p>Schematic diagram of 10 kV snowflake-shaped grid structure. (<b>a</b>) Electrical schematic diagram. (<b>b</b>) Simplified schematic diagram.</p>
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<p>Schematic diagram of 10 kV snowflake-shaped grid structure. (<b>a</b>) Electrical schematic diagram. (<b>b</b>) Simplified schematic diagram.</p>
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<p>Grid wiring with 10 kV snowflake petals as the basic unit.</p>
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<p>SOP and energy storage configuration flowchart.</p>
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<p>Snowflake-shaped grid structure diagram.</p>
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<p>Typical daily load curve of the snowflake-shaped grid.</p>
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<p>Voltage sensitivity of non-power nodes of the snowflake-shaped grid.</p>
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<p>SOP active power output curve.</p>
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<p>SOP reactive power output curve.</p>
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<p>Energy storage charge/discharge curve at node 40.</p>
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