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19 pages, 31778 KiB  
Article
Effect of Microsize and Nanosize TiO2 on Porous Mullite-Alumina Ceramic Prepared by Slip Casting
by Ludmila Mahnicka-Goremikina, Maris Rundans, Vadims Goremikins, Ruta Svinka, Visvaldis Svinka, Liga Orlova and Inna Juhnevica
Materials 2024, 17(24), 6171; https://doi.org/10.3390/ma17246171 - 17 Dec 2024
Viewed by 412
Abstract
Sintered porous mullite-alumina ceramics are obtained from the concentrated suspension of powdered raw materials such as kaolin, gamma and alpha Al2O3, and amorphous SiO2, mainly by a solid-state reaction with the presence of a liquid phase. The [...] Read more.
Sintered porous mullite-alumina ceramics are obtained from the concentrated suspension of powdered raw materials such as kaolin, gamma and alpha Al2O3, and amorphous SiO2, mainly by a solid-state reaction with the presence of a liquid phase. The modification of mullite ceramic is achieved by the use of micro- and nanosize TiO2 powders. The phase compositions were measured using an X-ray powder diffraction (XRD) Rigaku Ultima+ (Tokyo, Japan) and microstructures of the sintered specimens were analysed using scanning electron microscopy (SEM) Hitachi TM3000-TableTop (Tokyo, Japan). The shrinkage, bulk density, apparent porosity, and water uptake of the specimens was determined after firing using Archimedes’ principle. The apparent porosity of the modified mullite ceramic is 52–69 ± 1%, water uptake is 33–40 ± 1%, pore size distributions are 0.05–0.8 μm, 0.8–10 μm and 10–1000 μm, and bulk density are variated from 1.15 ± 0.05 to 1.4 ± 0.05 g/cm3. The microsize TiO2 and nanosize TiO2 speed up the mullitisation process and allow the decrease in the quantity used as raw material amorphous SiO2, which was the purpose of the study. The use of nanosize TiO2 additive increases the porosity of such a ceramic, decreasing the bulk density and linear thermal expansion. Full article
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<p>Solidified samples.</p>
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<p>XRD patterns of the AK1.4 samples sintered at the 1400 °C.</p>
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<p>XRD patterns of the AK1.5 samples sintered at the 1500 °C.</p>
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<p>XRD patterns of the AK2 samples sintered at the 1500 °C.</p>
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<p>XRD patterns of the AK3 samples sintered at the 1500 °C.</p>
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<p>XRD patterns of the AK4 samples sintered at the 1500 °C.</p>
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<p>XRD patterns of the AK5 samples sintered at the 1500 °C.</p>
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<p>TableTop SEM micrographs of the microstructure of sintered undoped samples: (<b>a</b>,<b>a’</b>) AK1.4 sample; (<b>b</b>,<b>b’</b>) AK1.5 sample.</p>
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<p>TableTop SEM micrographs of the microstructure of sintered modified samples: (<b>a</b>,<b>a’</b>) AK2 sample; (<b>b</b>,<b>b’</b>) AK3 sample; (<b>c</b>,<b>c’</b>) AK4 sample; (<b>d</b>,<b>d’</b>) AK5 sample.</p>
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<p>Characterisations of the samples: (<b>a</b>) shrinkage and (<b>b</b>) bulk density.</p>
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<p>Apparent porosity and water uptake of the samples.</p>
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<p>Pore size distributions of the samples: (a) AK1.4 sample, (b) AK1.5 sample.</p>
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<p>Pore size distributions of the samples: (a) AK2 sample, (b) AK3 sample, (c) AK4 sample, and (d) AK5 sample.</p>
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<p>Illustration of sintered samples: (<b>a</b>) Sample planes; (<b>b</b>) photographs of samples, zx-plane; (<b>c</b>) photographs of samples, xy-plane; and (<b>d</b>) SEM micrograph of sample without bubbling, magnification ×50.</p>
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<p>TableTop SEM micrographs illustrating the macrostructure of the samples, magnification ×50: (<b>a</b>–<b>f</b>) view of pores in the zx-plane; (<b>a’</b>–<b>f’</b>) view of pores in xy-plane; (<b>a</b>,<b>a’</b>) AK1.4 sample, (<b>b</b>,<b>b’</b>) AK 1.5 sample, (<b>c</b>,<b>c’</b>) AK2 sample, (<b>d</b>,<b>d’</b>) AK3 sample, (<b>e</b>,<b>e’</b>) AK4 sample, and (<b>f</b>,<b>f’</b>) AK5 sample.</p>
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<p>Temperature dependence of the linear thermal expansion coefficient for sintered samples: (a) of the undoped sample sintered at the 1500 °C; (b) of the sample with 1 pbw of nanosize TiO<sub>2</sub>.</p>
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18 pages, 5575 KiB  
Article
Investigation of Coal Structure and Its Differential Pore–Fracture Response Mechanisms in the Changning Block
by Xuefeng Yang, Shengxian Zhao, Xin Chen, Jian Zhang, Bo Li, Jieming Ding, Ning Zhu, Rui Fang, Hairuo Zhang, Xinyu Yang and Zhixuan Wang
Processes 2024, 12(12), 2784; https://doi.org/10.3390/pr12122784 - 6 Dec 2024
Viewed by 453
Abstract
The deep coal seams in the southern Sichuan region contain abundant coalbed methane resources. Determining the characteristics and distribution patterns of coal structures in this study area, and analyzing their impact on pore and fracture structures within coal reservoirs, holds substantial theoretical and [...] Read more.
The deep coal seams in the southern Sichuan region contain abundant coalbed methane resources. Determining the characteristics and distribution patterns of coal structures in this study area, and analyzing their impact on pore and fracture structures within coal reservoirs, holds substantial theoretical and practical significance for advancing coal structure characterization methods and the efficient development of deep coalbed methane resources. This paper quantitatively characterizes coal structures through coal core observations utilizing the Geological Strength Index (GSI) and integrates logging responses from different coal structures to develop a quantitative coal structure characterization model based on logging curves. This model predicts the spatial distribution of coal structures, while nitrogen adsorption data are used to analyze the development of pores and fractures in different coal structures, providing a quantitative theoretical basis for accurately characterizing deep coal seam features. Results indicate that density, gamma, acoustic, and caliper logging are particularly sensitive to coal structure variations and that performing multiple linear regression on logging data significantly enhances the accuracy of coal structure identification. According to the model proposed in this paper, primary-fragmented structures dominate the main coal seams in the study area, followed by fragmented structures. Micropores and small pores predominantly contribute to the volume and specific surface area of the coal samples, with both pore volume and specific surface area increasing alongside the degree of coal fragmentation. Additionally, the fragmentation of coal structures generates more micropores, enhancing pore volume and suggesting that tectonic coal has a greater adsorption capacity. This study combines theoretical analysis with experimental findings to construct a coal structure characterization model for deep coal seams, refining the limitations of logging techniques in accurately representing deep coal structures. This research provides theoretical and practical value for coal seam drilling, fracturing, and reservoir evaluation in the southern Sichuan region. Full article
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<p>Structural summary map and core sampling location diagram of the Changning Block. (<b>a</b>) Structure outline map of the Changning Block; (<b>b</b>) Comprehensive histogram of coal-bearing strata in the Changning Block.</p>
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<p>Structural summary map and core sampling location diagram of the Changning Block. (<b>a</b>) Structure outline map of the Changning Block; (<b>b</b>) Comprehensive histogram of coal-bearing strata in the Changning Block.</p>
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<p>Schematic diagram of different coal structures at the macroscopic scale. (<b>a</b>) Primary structure; (<b>b</b>) fractured structure; (<b>c</b>) fragmented structure.</p>
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<p>Development morphology of coal fractures under an optical microscope. (<b>a</b>,<b>b</b>) Primary coal; (<b>c</b>–<b>e</b>) structural coal.</p>
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<p>Characteristics of coal cracks under a scanning electron microscope for different coal structures.</p>
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<p>GSI assignment method to identify coal structures. (<b>a</b>) GSI quantization criterion reference graph. Note: Values on the diagonal represent GSI values, and N/A indicates not applicable within this range. (Very good: The structural surface is extremely rough, and the fissure width is so minimal that it is imperceptible to the naked eye. Good: The structural surface is rough, and the fissure width is easily recognizable by the naked eye, with rust present on the surface. General: The structural surface is flat, with some smooth areas, showing alteration, with fissures reaching the millimeter scale. Poor: The structural surfaces are interwoven, with mirror-like striations, poor fissure connectivity, and filled with angular gravel fragments. Very poor: The tectonic mirror surface is well developed, turned to powder form, making the structural surface unrecognizable, with no meaningful fissures.). (<b>b</b>) Quantitative value of coal structure in the Changning area based on GSI.</p>
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<p>GSI assignment method to identify coal structures. (<b>a</b>) GSI quantization criterion reference graph. Note: Values on the diagonal represent GSI values, and N/A indicates not applicable within this range. (Very good: The structural surface is extremely rough, and the fissure width is so minimal that it is imperceptible to the naked eye. Good: The structural surface is rough, and the fissure width is easily recognizable by the naked eye, with rust present on the surface. General: The structural surface is flat, with some smooth areas, showing alteration, with fissures reaching the millimeter scale. Poor: The structural surfaces are interwoven, with mirror-like striations, poor fissure connectivity, and filled with angular gravel fragments. Very poor: The tectonic mirror surface is well developed, turned to powder form, making the structural surface unrecognizable, with no meaningful fissures.). (<b>b</b>) Quantitative value of coal structure in the Changning area based on GSI.</p>
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<p>Correlation analysis of GSI and logging values.</p>
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<p>Adsorption–desorption curves of different coal structures. <b>Left</b>: Class I coal; <b>middle</b>: Class II coal; <b>right</b>: Class III coal.</p>
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<p>Low-temperature liquid nitrogen specific surface area–pore volume ratio diagram. <b>Left</b>: specific surface area; <b>right</b>: pore volume.</p>
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<p>Relationship between pore volume and pore size. <b>Left</b>: Class I coal; <b>middle</b>: Class II coal; <b>right</b>: Class III coal.</p>
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<p>Relationship between pore size and specific surface area. <b>Left</b>: Class I coal; <b>middle</b>: Class II coal; <b>right</b>: Class III coal.</p>
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28 pages, 3065 KiB  
Review
Biomarkers and Seaweed-Based Nutritional Interventions in Metabolic Syndrome: A Comprehensive Review
by Ana Valado, Margarida Cunha and Leonel Pereira
Mar. Drugs 2024, 22(12), 550; https://doi.org/10.3390/md22120550 - 4 Dec 2024
Viewed by 1433
Abstract
Metabolic Syndrome (MetS) is a complex, multifactorial condition characterized by risk factors such as abdominal obesity, insulin resistance, dyslipidemia and hypertension, which significantly contribute to the development of cardiovascular disease (CVD), the leading cause of death worldwide. Early identification and effective monitoring of [...] Read more.
Metabolic Syndrome (MetS) is a complex, multifactorial condition characterized by risk factors such as abdominal obesity, insulin resistance, dyslipidemia and hypertension, which significantly contribute to the development of cardiovascular disease (CVD), the leading cause of death worldwide. Early identification and effective monitoring of MetS is crucial for preventing serious cardiovascular complications. This article provides a comprehensive overview of various biomarkers associated with MetS, including lipid profile markers (triglyceride/high-density lipoprotein cholesterol (TG/HDL-C) ratio and apolipoprotein B/apolipoprotein A1 (ApoB/ApoA1) ratio), inflammatory markers (interleukin 6 (IL-6), tumor necrosis factor alpha (TNF-α), plasminogen activator inhibitor type 1 (PAI-1), C-reactive protein (CRP), leptin/adiponectin ratio, omentin and fetuin-A/adiponectin ratio), oxidative stress markers (lipid peroxides, protein and nucleic acid oxidation, gamma-glutamyl transferase (GGT), uric acid) and microRNAs (miRNAs) such as miR-15a-5p, miR5-17-5p and miR-24-3p. Additionally, this review highlights the importance of biomarkers in MetS and the need for advancements in their identification and use for improving prevention and treatment. Seaweed therapy is also discussed as a significant intervention for MetS due to its rich content of fiber, antioxidants, minerals and bioactive compounds, which help improve cardiovascular health, reduce inflammation, increase insulin sensitivity and promote weight loss, making it a promising nutritional strategy for managing metabolic and cardiovascular health. Full article
(This article belongs to the Collection Marine Drugs in the Management of Metabolic Diseases)
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<p>(<b>a</b>) <span class="html-italic">Palmaria palmata</span>; (<b>b</b>) <span class="html-italic">Chondrus crispus</span>; (<b>c</b>) <span class="html-italic">Gracilariopsis longissima</span>.</p>
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<p>(<b>a</b>) <span class="html-italic">Sargassum muticum</span>; (<b>b</b>) <span class="html-italic">Undaria pinnatifida</span>.</p>
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<p>Summary of the benefits of algae in Metabolic Syndrome.</p>
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27 pages, 699 KiB  
Article
Estimating the Lifetime Parameters of the Odd-Generalized-Exponential–Inverse-Weibull Distribution Using Progressive First-Failure Censoring: A Methodology with an Application
by Mahmoud M. Ramadan, Rashad M. EL-Sagheer and Amel Abd-El-Monem
Axioms 2024, 13(12), 822; https://doi.org/10.3390/axioms13120822 - 25 Nov 2024
Viewed by 484
Abstract
This paper investigates statistical methods for estimating unknown lifetime parameters using a progressive first-failure censoring dataset. The failure mode’s lifetime distribution is modeled by the odd-generalized-exponential–inverse-Weibull distribution. Maximum-likelihood estimators for the model parameters, including the survival, hazard, and inverse hazard rate functions, are [...] Read more.
This paper investigates statistical methods for estimating unknown lifetime parameters using a progressive first-failure censoring dataset. The failure mode’s lifetime distribution is modeled by the odd-generalized-exponential–inverse-Weibull distribution. Maximum-likelihood estimators for the model parameters, including the survival, hazard, and inverse hazard rate functions, are obtained, though they lack closed-form expressions. The Newton–Raphson method is used to compute these estimations. Confidence intervals for the parameters are approximated via the normal distribution of the maximum-likelihood estimation. The Fisher information matrix is derived using the missing information principle, and the delta method is applied to approximate the confidence intervals for the survival, hazard rate, and inverse hazard rate functions. Bayes estimators were calculated with the squared error, linear exponential, and general entropy loss functions, utilizing independent gamma distributions for informative priors. Markov-chain Monte Carlo sampling provides the highest-posterior-density credible intervals and Bayesian point estimates for the parameters and reliability characteristics. This study evaluates these methods through Monte Carlo simulations, comparing Bayes and maximum-likelihood estimates based on mean squared errors for point estimates, average interval widths, and coverage probabilities for interval estimators. A real dataset is also analyzed to illustrate the proposed methods. Full article
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<p>PDF for OGE-IWD.</p>
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<p>HRF for OGE-IWD.</p>
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<p>Description of the PFFC scheme.</p>
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<p>The KD, box, TTT, Q-Q, P-P, SF, PDF, and violin plots for the data set.</p>
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29 pages, 2519 KiB  
Article
Fitting the Seven-Parameter Generalized Tempered Stable Distribution to Financial Data
by Aubain Nzokem and Daniel Maposa
J. Risk Financial Manag. 2024, 17(12), 531; https://doi.org/10.3390/jrfm17120531 - 22 Nov 2024
Viewed by 467
Abstract
This paper proposes and implements a methodology to fit a seven-parameter Generalized Tempered Stable (GTS) distribution to financial data. The nonexistence of the mathematical expression of the GTS probability density function makes maximum-likelihood estimation (MLE) inadequate for providing parameter estimations. Based on the [...] Read more.
This paper proposes and implements a methodology to fit a seven-parameter Generalized Tempered Stable (GTS) distribution to financial data. The nonexistence of the mathematical expression of the GTS probability density function makes maximum-likelihood estimation (MLE) inadequate for providing parameter estimations. Based on the function characteristic and the fractional Fourier transform (FRFT), we provide a comprehensive approach to circumvent the problem and yield a good parameter estimation of the GTS probability. The methodology was applied to fit two heavy-tailed data (Bitcoin and Ethereum returns) and two peaked data (S&P 500 and SPY ETF returns). For each historical data, the estimation results show that six-parameter estimations are statistically significant except for the local parameter, μ. The goodness of fit was assessed through Kolmogorov–Smirnov, Anderson–Darling, and Pearson’s chi-squared statistics. While the two-parameter geometric Brownian motion (GBM) hypothesis is always rejected, the GTS distribution fits significantly with a very high p-value and outperforms the Kobol, Carr–Geman–Madan–Yor, and bilateral Gamma distributions. Full article
(This article belongs to the Special Issue Featured Papers in Mathematics and Finance)
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<p>Daily price.</p>
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<p>Daily return.</p>
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<p><math display="inline"><semantics> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mfrac> <mrow> <mi>d</mi> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>V</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>d</mi> <msub> <mi>V</mi> <mi>j</mi> </msub> </mrow> </mfrac> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>V</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mstyle> </semantics></math>: Effect of parameters on the GTS probability density (Bitcoin returns).</p>
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<p><math display="inline"><semantics> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mfrac> <mrow> <mi>d</mi> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>V</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>d</mi> <msub> <mi>V</mi> <mi>j</mi> </msub> </mrow> </mfrac> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>V</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mstyle> </semantics></math>: Effect of parameters on the GTS probability density (Ethereum returns).</p>
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<p>Daily price.</p>
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<p>Daily return.</p>
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<p><math display="inline"><semantics> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mfrac> <mrow> <mi>d</mi> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>V</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>d</mi> <msub> <mi>V</mi> <mi>j</mi> </msub> </mrow> </mfrac> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>V</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mstyle> </semantics></math>: Effect of parameters on the GTS probability density (S&amp;P 500 index).</p>
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<p><math display="inline"><semantics> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mfrac> <mrow> <mi>d</mi> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>V</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>d</mi> <msub> <mi>V</mi> <mi>j</mi> </msub> </mrow> </mfrac> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>V</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mstyle> </semantics></math>: Effect of parameters on the GTS probability density (SPY EFT).</p>
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<p>Asymptotic statistic (<math display="inline"><semantics> <mrow> <msqrt> <mi>m</mi> </msqrt> <msub> <mi>D</mi> <mi>m</mi> </msub> </mrow> </semantics></math>) probability density function (PDF).</p>
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<p>Asymptotic Anderson–Darling statistic (<math display="inline"><semantics> <msubsup> <mi>A</mi> <mrow> <mi>m</mi> </mrow> <mn>2</mn> </msubsup> </semantics></math>) probability density function (PDF).</p>
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14 pages, 5241 KiB  
Article
Effects of Prolactin Inhibition on Lipid Metabolism in Goats
by Xiaona Liu, Chunhui Duan, Xuejiao Yin, Xianglong Li, Meijing Chen, Jiaxin Chen, Wen Zhao, Lechao Zhang, Yueqin Liu and Yingjie Zhang
Animals 2024, 14(23), 3364; https://doi.org/10.3390/ani14233364 - 22 Nov 2024
Viewed by 550
Abstract
Prolactin (PRL) has recently been found to play a role in lipid metabolism in addition to its traditional roles in lactation and reproduction. However, the effects of PRL on lipid metabolism in liver and adipose tissues are unclear. Therefore, we aimed to study [...] Read more.
Prolactin (PRL) has recently been found to play a role in lipid metabolism in addition to its traditional roles in lactation and reproduction. However, the effects of PRL on lipid metabolism in liver and adipose tissues are unclear. Therefore, we aimed to study the role of PRL on lipid metabolism in goats. Twenty healthy eleven-month-old Yanshan cashmere goats with similar body weights (BWs) were selected and randomly divided into a control (CON) group and a bromocriptine (BCR, a PRL inhibitor, 0.06 mg/kg, BW) group. The experiment lasted for 30 days. Blood was collected on the day before BCR treatment (day 0) and on the 15th and 30th days after BCR treatment (days 15 and 30). On day 30 of treatment, all goats were slaughtered to collect their liver, subcutaneous adipose, and perirenal adipose tissues. A portion of all collected tissues was stored in 4% paraformaldehyde for histological observation, and another portion was immediately stored in liquid nitrogen for RNA extraction. The PRL inhibition had inconclusive effects found on BW and average daily feed intake (ADFI) in goats (p > 0.05). PRL inhibition decreased the hormone-sensitive lipase (HSL) levels on day 30 (p < 0.05), but the effects were inconclusive on days 0 and 15. PRL inhibition had inconclusive effects found on total cholesterol (TCH), triglyceride (TG), high-density lipoprotein cholesterol (HDL-C), low-density lipoprotein cholesterol (LDL-C), fatty acid synthase (FAS), 3-hydroxy-3-methylglutaryl-CoA reductase (HMGR), and acetyl-CoA carboxylase (ACC) on days 0, 15, and 30 (p > 0.05). Furthermore, hematoxylin–eosin (HE) staining of the liver, subcutaneous adipose, and perirenal adipose sections showed that PRL inhibition had inconclusive effects on the pathological changes in their histomorphology (p > 0.05), but measuring adipocytes showed that the area of perirenal adipocytes decreased in the BCR group (p < 0.05). The qPCR results showed that PRL inhibition increased the expression of PRL, long-form PRL receptor (LPRLR), and short-form PRL receptor (SPRLR) genes, as well as the expression of genes related to lipid metabolism, including sterol regulatory element binding transcription factor 1 (SREBF1); sterol regulatory element binding transcription factor 2 (SREBF2); acetyl-CoA carboxylase alpha (ACACA); fatty acid synthase (FASN); 3-hydroxy-3-methylglutaryl-CoA reductase (HMGCR); 7-dehydrocholesterol reductase (DHCR7); peroxisome proliferator-activated receptor gamma (PPARG); and lipase E, hormone-sensitive type (LIPE) in the liver (p < 0.05). In the subcutaneous adipose tissue, PRL inhibition increased SPRLR gene expression (p < 0.05) and decreased the expression of genes related to lipid metabolism, including SREBF1, SREBF2, ACACA, PPARG, and LIPE (p < 0.05). In the perirenal adipose tissue, the inhibition of PRL decreased the expression of the PRL, SREBF2, and HMGCR genes (p < 0.05). In conclusion, the inhibition of PRL decreases the serum HSL levels in cashmere goats; the effects of PRL on lipid metabolism are different in different tissues; and PRL affects lipid metabolic activity by regulating different PRLRs in liver and subcutaneous adipose tissues, as well as by decreasing the expression of the PRL, SREBF2, and HMGCR genes in perirenal adipose tissue. Full article
(This article belongs to the Special Issue Metabolic and Endocrine Regulation in Ruminants: Second Edition)
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<p>Changes in the serum lipid metabolism indexes in cashmere goats after PRL inhibition. (<b>A</b>) TCH, total cholesterol; (<b>B</b>) TG, triglyceride; (<b>C</b>) HDL-C, high-density lipoprotein cholesterol; (<b>D</b>) LDL-C, low-density lipoprotein cholesterol; (<b>E</b>) FAS, fatty acid synthase; (<b>F</b>) HSL, hormone-sensitive lipase; (<b>G</b>) HMGR, 3-hydroxy-3-methylglutaryl-CoA reductase; (<b>H</b>) ACC, acetyl-CoA carboxylase. CON, control group; BCR, bromocriptine treatment group; values are the mean ± standard error of the mean.</p>
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<p>Morphometric changes in the liver, subcutaneous adipose, and perirenal adipose sections and measurement of adipocytes after PRL inhibition. (<b>A</b>,<b>B</b>) Liver sections from the CON and BCR groups; (<b>C</b>,<b>D</b>) subcutaneous adipose sections from the CON and BCR groups; (<b>E</b>,<b>F</b>) perirenal adipose sections from the CON and BCR groups; (<b>G</b>,<b>H</b>) changes in adipocyte area in the subcutaneous and perirenal adipose tissues; magnification × 200, scale bar = 50 μm. CON, control group; BCR, bromocriptine treatment group; values are the mean ± standard error of the mean. * <span class="html-italic">p</span> &lt; 0.05.</p>
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<p>Dramatic changes in lipid metabolism-related genes in the liver, subcutaneous adipose, and perirenal adipose tissues. (<b>A</b>,<b>B</b>) Changes in lipid metabolism-related genes in the liver; (<b>C</b>–<b>E</b>) changes in lipid metabolism-related genes in subcutaneous adipose tissue; (<b>F</b>–<b>H</b>) changes in genes involved in lipid metabolism in perirenal adipose tissue. CON, control group; BCR, bromocriptine treatment group; values are the mean ± standard error of the mean. * <span class="html-italic">p</span> &lt; 0.05.</p>
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<p>Changes in the expression of different lipid metabolism genes in three tissues. (<b>A</b>) Changes in the expression of <span class="html-italic">LPRLR</span> and <span class="html-italic">SPRLR</span> in three tissues. (<b>B</b>) Changes in the expression of <span class="html-italic">SREBF1, SREBF2</span>, and <span class="html-italic">DHCR7</span> in three tissues. (<b>C</b>) Changes in the expression of <span class="html-italic">FASN</span>, <span class="html-italic">ACACA</span>, and <span class="html-italic">HMGCR</span> in three tissues. (<b>D</b>) Changes in the expression of <span class="html-italic">PRL</span>, <span class="html-italic">PPARG</span>, and <span class="html-italic">LIPE</span> in three tissues. CON, control group; BCR, bromocriptine treatment group. Values are the mean ± standard error of the mean. <sup>a–c</sup> Different superscripts represented significant differences, <span class="html-italic">p</span> &lt; 0.05.</p>
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11 pages, 50395 KiB  
Article
Detection of Low-Density Foreign Objects in Infant Snacks Using a Continuous-Wave Sub-Terahertz Imaging System for Industrial Applications
by Byeong-Hyeon Na, Dae-Ho Lee, Jaein Choe, Young-Duk Kim and Mi-Kyung Park
Sensors 2024, 24(22), 7374; https://doi.org/10.3390/s24227374 - 19 Nov 2024
Viewed by 626
Abstract
Low-density foreign objects (LDFOs) in foods pose significant safety risks to consumers. Existing detection methods, such as metal and X-ray detectors, have limitations in identifying low-density and nonmetallic contaminants. To address these challenges, our research group constructed and optimized a continuous-wave sub-terahertz (THz) [...] Read more.
Low-density foreign objects (LDFOs) in foods pose significant safety risks to consumers. Existing detection methods, such as metal and X-ray detectors, have limitations in identifying low-density and nonmetallic contaminants. To address these challenges, our research group constructed and optimized a continuous-wave sub-terahertz (THz) imaging system for the real-time, on-site detection of LDFOs in infant snacks. The system was optimized by adjusting the attenuation value from 0 to 9 dB and image processing parameters [White (W), Black (B), and Gamma (G)] from 0 to 100. Its detectability was evaluated across eight LDFOs underneath snacks with scanning at 30 cm/s. The optimal settings for puffed snacks and freeze-dried chips were found to be 3 dB attenuation with W, B, and G values of 100, 50, and 80, respectively, while others required 0 dB attenuation with W, B, and G set to 100, 0, and 100, respectively. Additionally, the moisture content of infant snacks was measured using a modified AOAC-based drying method at 105 °C, ensuring the removal of all free moisture. Using these optimized settings, the system successfully detected a housefly and a cockroach underneath puffed snacks and freeze-dried chips. It also detected LDFOs as small as 3 mm in size in a single layer of snacks, including polyurethane, polyvinyl chloride, ethylene–propylene–diene–monomer, and silicone, while in two layers of infant snacks, they were detected up to 7.5 mm. The constructed system can rapidly and effectively detect LDFOs in foods, offering a promising approach to enhance safety in the food industry. Full article
(This article belongs to the Section Sensing and Imaging)
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<p>Diagram of the CW sub-THz imaging system.</p>
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<p>Transmission images of silicone placed underneath puffed snacks at various attenuation values. <sup>1)</sup> As the attenuation value increases, the output power of the sub-THz wave decreases.</p>
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<p>Transmission images of PU, PVC, EPDM, and silicone placed under each infant snack obtained using the CW sub-THz imaging system under optimized conditions.</p>
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<p>Transmission images of <span class="html-italic">P. citrinum</span> covering 30% and 80% of the surface of puffed snack and freeze-dried chip.</p>
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<p>Transmission images of silicone, EPDM, PVC, and PU of various lengths. The red circles indicate the various lengths of silicone, EPDM, PVC, and PU placed underneath puffed snacks and freeze-dried chips.</p>
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<p>Transmission images of silicone, EPDM, PVC, and PU placed beneath two layers of puffed snacks and freeze-dried chips. The red circles indicate the placement of LDFOs underneath the stacked infant snacks.</p>
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34 pages, 12268 KiB  
Article
Novel Fractional Order Differential and Integral Models for Wind Turbine Power–Velocity Characteristics
by Ahmed G. Mahmoud, Mohamed A. El-Beltagy and Ahmed M. Zobaa
Fractal Fract. 2024, 8(11), 656; https://doi.org/10.3390/fractalfract8110656 - 11 Nov 2024
Viewed by 1115
Abstract
This work presents an improved modelling approach for wind turbine power curves (WTPCs) using fractional differential equations (FDE). Nine novel FDE-based models are presented for mathematically modelling commercial wind turbine modules’ power–velocity (P-V) characteristics. These models utilize Weibull and Gamma probability density functions [...] Read more.
This work presents an improved modelling approach for wind turbine power curves (WTPCs) using fractional differential equations (FDE). Nine novel FDE-based models are presented for mathematically modelling commercial wind turbine modules’ power–velocity (P-V) characteristics. These models utilize Weibull and Gamma probability density functions to estimate the capacity factor (CF), where accuracy is measured using relative error (RE). Comparative analysis is performed for the WTPC mathematical models with a varying order of differentiation (α) from 0.5 to 1.5, utilizing the manufacturer data for 36 wind turbines with capacities ranging from 150 to 3400 kW. The shortcomings of conventional mathematical models in various meteorological scenarios can be overcome by applying the Riemann–Liouville fractional integral instead of the classical integer-order integrals. By altering the sequence of differentiation and comparing accuracy, the suggested model uses fractional derivatives to increase flexibility. By contrasting the model output with actual data obtained from the wind turbine datasheet and the historical data of a specific location, the models are validated. Their accuracy is assessed using the correlation coefficient (R) and the Mean Absolute Percentage Error (MAPE). The results demonstrate that the exponential model at α=0.9 gives the best accuracy of WTPCs, while the original linear model was the least accurate. Full article
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<p>Typical power curve of a wind turbine.</p>
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<p>Graphical abstract of the research.</p>
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<p>Histogram of the 36 selected wind turbines for wind turbine characteristics: (<b>a</b>) rated power; (<b>b</b>) cut-in wind speed; (<b>c</b>) rated wind speed; (<b>d</b>) cut-out wind speed.</p>
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<p>Representation of all original mathematical models for power curve of wind turbine models (<b>a</b>) N100/3300; (<b>b</b>) N29/250.</p>
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<p>Representation of statistical criteria of all original mathematical models for power curve of wind turbine: (<b>a</b>) correlation coefficient; (<b>b</b>) MAPE.</p>
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<p>Representation of linear model for wind turbine model N100/3300.</p>
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<p>Representation of quadratic model for wind turbine model N100/3300.</p>
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<p>Representation of cubic type-I model for wind turbine model N100/3300.</p>
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<p>Representation of cubic type-II model for wind turbine model N100/3300.</p>
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<p>Representation of general model for wind turbine model N100/3300.</p>
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<p>Representation of exponential model for wind turbine model N100/3300.</p>
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<p>Representation of power-coefficient-based model for wind turbine model N100/3300.</p>
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<p>Representation of approximated power-coefficient-based model for wind turbine model N100/3300.</p>
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<p>Representation of polynomial model for wind turbine model N100/3300.</p>
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<p>Representation of linear model for wind turbine model N29/250.</p>
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<p>Representation of quadratic model for wind turbine model N29/250.</p>
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<p>Representation of cubic type-I model for wind turbine model N29/250.</p>
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<p>Representation of cubic type-II model for wind turbine model N29/250.</p>
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<p>Representation of general model for wind turbine model N29/250.</p>
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<p>Representation of exponential model for wind turbine model N29/250.</p>
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<p>Representation of power-coefficient-based model for wind turbine model N29/250.</p>
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<p>Representation of approximated power-coefficient-based model for wind turbine model N29/250.</p>
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<p>Representation of polynomial model for wind turbine model N29/250.</p>
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<p>Representation of statistical criteria of all fractional mathematical models for power curve of wind turbine: (<b>a</b>) correlation coefficient; (<b>b</b>) MAPE.</p>
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11 pages, 2752 KiB  
Article
Encapsulation of ɣ-Aminobutyric Acid Compounds Extracted from Germinated Brown Rice by Freeze-Drying Technique
by Tarinee Nilkamheang, Chanikarn Thanaseelangkoon, Rawinan Sangsue, Sarunya Parisaka, Le Ke Nghiep, Pitchaporn Wanyo, Nitchara Toontom and Kukiat Tudpor
Molecules 2024, 29(21), 5119; https://doi.org/10.3390/molecules29215119 - 30 Oct 2024
Viewed by 613
Abstract
Gamma-aminobutyric acid (GABA) from plants has several bioactivities, such as neurotransmission, anti-cancer cell proliferation, and blood pressure control. Its bioactivities vary when exposed to pH, heat, and ultraviolet. This study analyzed the protective effect of the GABA encapsulation technique using gum arabic (GA) [...] Read more.
Gamma-aminobutyric acid (GABA) from plants has several bioactivities, such as neurotransmission, anti-cancer cell proliferation, and blood pressure control. Its bioactivities vary when exposed to pH, heat, and ultraviolet. This study analyzed the protective effect of the GABA encapsulation technique using gum arabic (GA) and maltodextrin (MD) and the freeze-drying method. The impact of different ratios of the wall material GA and MD on morphology, GABA content, antioxidant activity, encapsulation efficiency, process yield, and physical properties were analyzed. Results showed that the structure of encapsulated GABA powder was similar to broken glass pieces of various sizes and irregular shapes. The highest GABA content and encapsulation efficiency were, respectively, 90.77 mg/g and 84.36% when using the wall material GA:MD ratio of 2:2. The encapsulated powder’s antioxidant activity was 1.09–1.80 g of encapsulation powder for each formula, which showed no significant difference. GA and MD as the wall material in a 2:2 (w/w) ratio showed the lowest bulk density. The high amount of MD showed the highest Hausner ratio (HR), and Carr’s index (CI) showed high encapsulation efficiency and process yield. The stability of encapsulated GABA powder can be kept in clear glass with a screw cap at 35 °C for 42 days compared to the non-encapsulated one, which can be preserved for only 18 days under the same condition. In conclusion, this study demonstrated that the freeze-drying process for GABA encapsulation preserved GABA component extracts from brown rice while increasing its potential beneficial properties. Using a wall material GA:MD ratio of 2:2 resulted in the maximum GABA content, solubility, and encapsulation efficiency while having the lowest bulk density. Full article
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<p>SEM images of encapsulated GABA with different wall material ratios (GA:MD); ratio 0:4 1000× (<b>A1</b>), 3000× (<b>A2</b>); ratio 1:3 1000× (<b>B1</b>), 3000× (<b>B2</b>); ratio 2:2 1000× (<b>C1</b>), 3000× (<b>C2</b>); ratio 3:1 1000× (<b>D1</b>), 3000× (<b>D2</b>); ratio 4:0 1000× (<b>E1</b>), 3000× (<b>E2</b>).</p>
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<p>Encapsulation efficiency (%) and process yield (%) of encapsulated GABA with different wall material ratios (GA:MD). Different letters indicate the values with significant differences (<span class="html-italic">p</span> ≤ 0.05).</p>
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<p>GABA content (mg) and GABA loss (%) of GABA extract from germinated brown rice (<b>A</b>) and encapsulated GABA with GA:MD as 2:2 as the wall material ratio (<b>B</b>).</p>
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14 pages, 3655 KiB  
Article
Exploring Electrophysiological Responses to Hypnosis in Patients with Fibromyalgia
by Pradeep Kumar Govindaiah, A. Adarsh, Rajanikant Panda, Olivia Gosseries, Nicole Malaise, Irène Salamun, Luaba Tshibanda, Steven Laureys, Vincent Bonhomme, Marie-Elisabeth Faymonville, Audrey Vanhaudenhuyse and Aminata Bicego
Brain Sci. 2024, 14(11), 1047; https://doi.org/10.3390/brainsci14111047 - 23 Oct 2024
Viewed by 922
Abstract
Background/Objectives: Hypnosis shows great potential for managing patients suffering from fibromyalgia and chronic pain. Several studies have highlighted its efficacy in improving pain, quality of life, and reducing psychological distress. Despite its known feasibility and efficacy, the mechanisms of action remain poorly understood. [...] Read more.
Background/Objectives: Hypnosis shows great potential for managing patients suffering from fibromyalgia and chronic pain. Several studies have highlighted its efficacy in improving pain, quality of life, and reducing psychological distress. Despite its known feasibility and efficacy, the mechanisms of action remain poorly understood. Building on these insights, this innovative study aims to assess neural activity during hypnosis in fibromyalgia patients using high-density electroencephalography (EEG) and self-reported measures. Methods: Thirteen participants with fibromyalgia were included in this study. EEG recordings were done during resting state and hypnosis conditions. After both conditions, levels of pain, comfort, absorption, and dissociation were assessed using a numerical rating scale. Time perception was collected via an open-ended question. The study was prospectively registered in the ClinicalTrials.gov public registry (NCT04263324). Results: Neural oscillations showed increased theta power during hypnosis in the left parietal and occipital electrodes, increased beta power in the frontal and left temporal electrodes, and increased slow-gamma power in the frontal and left parietal electrodes. Functional connectivity using pairwise-phase consistency measures showed decreased connectivity in the frontal electrodes during hypnosis. Graph-based measures, the node strength, and the cluster coefficient were lower in frontal electrodes in the slow-gamma bands during hypnosis compared to resting state. Key findings indicate significant changes in neural oscillations and brain functional connectivity, suggesting potential electrophysiological markers of hypnosis in this patient population. Full article
(This article belongs to the Special Issue Brain Mechanism of Hypnosis)
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<p>Experimental procedure. REST: resting state; HYP: hypnosis.</p>
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<p>Power spectrum plots during resting state (REST) and hypnosis (HYP) across subjects and ΔPSD is the difference in PSD between HYP and REST. (<b>A</b>) across the whole brain (left), the mean difference of PSD (right) and (<b>B</b>) for different groups of electrodes. The 2nd and 4th rows show the difference in power between the hypnosis and the resting state conditions. The red shaded patch depicts the significant (<span class="html-italic">p</span> &lt; 0.05 without FDR correction) increase in HYP power compared to REST. The inset topoplots represent the group of electrodes considered for respective lobe-wise representation. L: left, R: right, U: upper, L: Lower, Hz: hertz, PSD: power spectral density. Solid lines represent the group mean and the shaded regions represent the standard error of the mean (SEM).</p>
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<p>Change in absolute band power during the HYP condition compared to the REST condition across different frequency bands. The highlighted electrode represents significant differences (<span class="html-italic">p</span> &lt; 0.05 without false discovery rate correction). Color bar indicates the z-values, REST: resting state, HYP: hypnosis.</p>
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<p>Pairwise-phase consistency (PPC) during hypnosis (HYP) condition compared to resting state (REST) condition across different frequency bands. The highlighted regions and arrows represent the significant connectivity (<span class="html-italic">p</span> &lt; 0.01 without FDR correction). Different sets of electrodes are grouped lobe wise, as given in the inset of <a href="#brainsci-14-01047-f002" class="html-fig">Figure 2</a>B.</p>
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<p>Change in graph theory measures clustering coefficient and node strength during HYP compared to REST across different frequency bands. The highlighted electrode represents significant differences (<span class="html-italic">p</span> &lt; 0.05 without FDR correction). The color bar represents z-value. REST: resting state, HYP: hypnosis.</p>
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17 pages, 5140 KiB  
Article
Does It Matter Whether to Use Circular or Square Plots in Forest Inventories? A Multivariate Comparison
by Efrain Velasco-Bautista, Antonio Gonzalez-Hernandez, Martin Enrique Romero-Sanchez, Vidal Guerra-De La Cruz and Ramiro Perez-Miranda
Forests 2024, 15(11), 1847; https://doi.org/10.3390/f15111847 - 22 Oct 2024
Viewed by 1192
Abstract
The design of a sampling unit, whether a simple plot or a subplot within a clustered structure, including shape and size, has received little attention in inferential forestry research. The use of auxiliary variables from remote sensing impacts the precision of estimators from [...] Read more.
The design of a sampling unit, whether a simple plot or a subplot within a clustered structure, including shape and size, has received little attention in inferential forestry research. The use of auxiliary variables from remote sensing impacts the precision of estimators from both model-assisted and model-based inference perspectives. In both cases, model parameters are estimated from a sample of field plots and information from pixels corresponding to these units. In studies assisted by remote sensing, the shape of the plot used to fit regression models (typically circular) often differs from the shape of the population elements for prediction, where the area of interest is divided into equal tessellated parts. This raises interest in understanding the effect of the sampling unit shape on the mean of variables in forest stands of interest. Therefore, the objective of this study was to evaluate the effect of circular and square subplots, concentrically overlapped and arranged in an inverted Y cluster structure, over tree density, basal area, and aboveground biomass in a managed temperate forest in central Mexico. We used a Multivariate Generalised Linear Mixed Model, which considers the Gamma distribution of the variables and accounts for spatial correlation between Secondary Sampling Units nested within the Primary Sampling Unit. The main findings of this study indicate that the type of secondary sampling unit of the same area and centroid, whether circular or square, does not significantly affect the mean tree density (trees), basal area (m2), and aerial biomass. Full article
(This article belongs to the Section Forest Inventory, Modeling and Remote Sensing)
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<p>Localisation of the study area.</p>
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<p>Localisation of the sampling plots and sampling design.</p>
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<p>Total height and diameter at breast height for all species recorded (blue dots: sacred fir, red dots: moctezuma pine; green dot: oaks, purple dots: ocote pine, brown dots: other species).</p>
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<p>Density (# tress/SSU), basal area (m<sup>2</sup>/SSU), and aboveground biomass (kg/SSU) in circular and square plots.</p>
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<p>Scatter plot for density (r = 0.9961), basal area (r = 0.9875), and aboveground biomass (r = 0.9811) from square and circular subplots (r = 0.9811). The colours identify the SSU for SPU (cluster).</p>
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<p>Empirical cumulative distribution function (blue) and modelled (Gamma, green; Burr, magenta; Weibull, pink) for density, (Gamma, green; Lognormal, red; Burr, magenta) for basal area and (Gamma, green; Weibull, red; Burr, magenta) for aboveground biomass. FDA: cumulative distribution function.</p>
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<p>Mean and confidence intervals for aboveground biomass, density, and basal area resulting from the joint statistical model.</p>
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<p>Histogram and normal distribution of residuals of multivariate statistical analysis of density, basal area, and aboveground biomass.</p>
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<p>Observed and normal percentiles of Pearson’s residuals.</p>
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15 pages, 3604 KiB  
Article
Off-Axis Color Characteristics of Binary Neutron Star Merger Events: Applications for Space Multi-Band Variable Object Monitor and James Webb Space Telescope
by Hongyu Gong, Daming Wei and Zhiping Jin
Universe 2024, 10(10), 403; https://doi.org/10.3390/universe10100403 - 19 Oct 2024
Viewed by 790
Abstract
With advancements in gravitational wave detection technology, an increasing number of binary neutron star (BNS) merger events are expected to be detected. Due to the narrow opening angle of jet cores, many BNS merger events occur off-axis, resulting in numerous gamma-ray bursts (GRBs) [...] Read more.
With advancements in gravitational wave detection technology, an increasing number of binary neutron star (BNS) merger events are expected to be detected. Due to the narrow opening angle of jet cores, many BNS merger events occur off-axis, resulting in numerous gamma-ray bursts (GRBs) going undetected. Models suggest that kilonovae, which can be observed off-axis, offer more opportunities to be detected in the optical/near-infrared band as electromagnetic counterparts of BNS merger events. In this study, we calculate kilonova emission using a three-dimensional semi-analytical code and model the GRB afterglow emission with the open-source Python package afterglowpy at various inclination angles. Our results show that it is possible to identify the kilonova signal from the observed color evolution of BNS merger events. We also deduce the optimal observing window for SVOM/VT and JWST/NIRCam, which depends on the viewing angle, jet opening angle, and circumburst density. These parameters can be cross-checked with the multi-band afterglow fitting. We suggest that kilonovae are more likely to be identified at larger inclination angles, which can also help determine whether the observed signals without accompanying GRBs originate from BNS mergers. Full article
(This article belongs to the Special Issue Studies in Neutron Stars)
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<p>This diagram illustrates the temperature distribution of the kilonova ejecta at 1.5 days post-merger. It includes a dynamic component spread across the equatorial plane, a neutrino-driven wind component directed towards the polar regions, and a viscosity-driven wind component depicted as an equatorial-dominated outflow with lower velocity.</p>
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<p>Number profile of the estimated heating time scale for energy released by electrons in <math display="inline"><semantics> <mi>β</mi> </semantics></math>-decay, based on the systematic numerical relativity simulation results of Radice et al. [<a href="#B54-universe-10-00403" class="html-bibr">54</a>].</p>
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<p>Color evolution of type Ia SN 2004eo, Ib SN 2015ap, Ic SN 2016coi, IIb SN 2016gkg, and kilonova AT2017gfo. Solid lines represent the color evolution over time after the merger for g-r (<b>top</b>), g-i (<b>middle</b>), and g-H (<b>bottom</b>) bands, calculated using the model parameters of AT2017gfo. Dashed lines depict the color evolution of the single kilonova, while dotted lines show the color evolution of the afterglow.</p>
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<p>Solid lines represent AT2017gfo-like light curves in SVOM VT bands at wavelengths of 550 nm (<b>left</b>) and 825 nm (<b>right</b>) for inclination angles of <math display="inline"><semantics> <msup> <mn>0</mn> <mo>∘</mo> </msup> </semantics></math>, <math display="inline"><semantics> <msup> <mn>15</mn> <mo>∘</mo> </msup> </semantics></math>, <math display="inline"><semantics> <msup> <mn>30</mn> <mo>∘</mo> </msup> </semantics></math>, <math display="inline"><semantics> <msup> <mn>45</mn> <mo>∘</mo> </msup> </semantics></math>, and <math display="inline"><semantics> <msup> <mn>60</mn> <mo>∘</mo> </msup> </semantics></math>. Dot points with error bars are observed data of AT2017gfo [<a href="#B61-universe-10-00403" class="html-bibr">61</a>] in the g-band (<b>left</b>) and z-band (<b>right</b>) for comparison.</p>
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<p>Solid lines depict the color evolution at the central frequency of the SVOM VT channels. Each subplot uses parameters identical to those of AT2017gfo, except for the variable indicated in the legends. The dots with error bars represent the g-z and r-z colors of AT2017gfo, respectively. Shaded areas illustrate the range of variation.</p>
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<p>Predicted color evolution for SVOM VT. The green shaded area in each subplot represents the range of color evolution for a sample group, while the blue shaded area indicates the optimal observation window for identifying a kilonova. Dashed lines indicate the color of a single kilonova. Each column of subplots corresponds to inclination angles of <math display="inline"><semantics> <msup> <mn>15</mn> <mo>∘</mo> </msup> </semantics></math>, <math display="inline"><semantics> <msup> <mn>30</mn> <mo>∘</mo> </msup> </semantics></math>, and <math display="inline"><semantics> <msup> <mn>60</mn> <mo>∘</mo> </msup> </semantics></math>, respectively. Each row of subplots corresponds to observation windows of 2 weeks, 1 week, 2 days, and those that are difficult to distinguish, as indicated by the shaded areas.</p>
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<p>Predicted color evolution for JWST NIRCam. The green shaded area in each subplot represents the range of color evolution for a sample group, while the blue shaded area indicates the optimal observation window for identifying a kilonova. Dashed lines indicate the color of a single kilonova. Each column of subplots corresponds to inclination angles of <math display="inline"><semantics> <msup> <mn>15</mn> <mo>∘</mo> </msup> </semantics></math>, <math display="inline"><semantics> <msup> <mn>30</mn> <mo>∘</mo> </msup> </semantics></math>, and <math display="inline"><semantics> <msup> <mn>60</mn> <mo>∘</mo> </msup> </semantics></math>, respectively. Each row of subplots corresponds to observation windows of 2 weeks, 1 week, and those that are difficult to distinguish, as indicated by the shaded areas.</p>
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21 pages, 3593 KiB  
Article
Multifactorial Analysis of the Effect of Applied Gamma-Polyglutamic Acid on Soil Infiltration Characteristics
by Shikai Gao, Xiaoyuan Zhang, Songlin Wang, Yuliang Fu, Weiheng Li, Yuanzhi Dong, Yanbin Li and Zhiguang Dai
Polymers 2024, 16(20), 2890; https://doi.org/10.3390/polym16202890 - 14 Oct 2024
Viewed by 821
Abstract
To investigate the mechanism and influence of applying gamma-polyglutamic acid (γ-PGA) on soil water infiltration, laboratory experiments and numerical simulations were conducted using Hydrus-1D. These studies assessed the impact of various application rates of γ-PGA on soil water characteristic parameters. Orthogonal simulation experiments [...] Read more.
To investigate the mechanism and influence of applying gamma-polyglutamic acid (γ-PGA) on soil water infiltration, laboratory experiments and numerical simulations were conducted using Hydrus-1D. These studies assessed the impact of various application rates of γ-PGA on soil water characteristic parameters. Orthogonal simulation experiments on soil bulk density, γ-PGA application rates, and burial depths were performed utilizing predefined soil water characteristic values (twelve groups: nine groups of numerical simulation experiments and three groups of laboratory verification tests), and the soil infiltration characteristics were analyzed. Concurrently, an empirical model was developed to elucidate the relationships between the empirical model parameters and influencing factors, as well as to examine the sensitivity of these factors to changes in soil infiltration rate. The relationship between cumulative infiltration and the distance of wetting front movement, based on the water balance equation, was refined. The results indicated that γ-PGA significantly affected soil water characteristic parameters, where the saturated water content and the reciprocal of soil intake suction increased with rising γ-PGA applications (p < 0.01), while the saturated hydraulic conductivity and the parameter n decreased (p < 0.01), with no notable changes in the retained water content (p > 0.05). The trend in cumulative infiltration influenced by various factors could be modeled by a capacitive charging model function, which yielded a superior fit. A negative correlation existed between the sensitivity index and all the influencing factors (p < 0.05), with the order of influence being soil bulk density, γ-PGA application rate, and γ-PGA burial depth, respectively. Utilizing the modified water balance equation, the ratio of cumulative infiltration to wetting front migration distance corresponded more closely with a power function. These findings provide a theoretical foundation for further studies on the effects of γ-PGA on crop growth characteristics in fields and the optimization of γ-PGA technical element combinations. Full article
(This article belongs to the Section Polymer Physics and Theory)
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<p>Molecular structure formula of γ-PGA.</p>
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<p>The experimental apparatus of one-dimensional vertical infiltration.</p>
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<p>Cumulative infiltration under multifactors. Note: Each treatment is denoted as “a + b + c”, where “a” indicates the soil bulk density (g/cm<sup>3</sup>), “b” specifies the γ-PGA burial depth (cm), and “c” represents the γ-PGA application rate (mass percentage). For example, 1.30 + (25–45) + 0.30 indicates a treatment in which 0.30% γ-PGA (by mass) is applied at a burial depth of 25–45 cm in soil with a bulk density of 1.30 g/cm<sup>3</sup>.</p>
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<p>Infiltration flow under multifactor. Note: Each treatment is denoted as “a + b + c”, where “a” indicates the soil bulk density (g/cm<sup>3</sup>), “b” specifies the γ-PGA burial depth (cm), and “c” represents the γ-PGA application rate (mass percentage). For example, 1.30 + (25–45) + 0.30 indicates a treatment in which 0.30% γ-PGA (by mass) is applied at a burial depth of 25–45 cm in soil with a bulk density of 1.30 g/cm<sup>3</sup>.</p>
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<p>Comparison of measured and calculated values of cumulative infiltration.</p>
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<p>Correlation analysis plot between multifactors and model parameters. Note: * represents a weak statistical significance at the level (<span class="html-italic">p</span> ≤ 0.05); ** represents a higher statistical significance at the level (<span class="html-italic">p</span> ≤ 0.01); *** represents a very high statistical significance at the level (<span class="html-italic">p</span> ≤ 0.001); **** represents an extremely high statistical significance at the level (<span class="html-italic">p</span> ≤ 0.0001). The more asterisks, the greater the significance of the correlation, and smaller correlations are not highlighted. “B” represents γ-PGA (unit: %); “C” represents the bulk density (unit: g/cm<sup>3</sup>); “D” denotes the water loss rate (<span class="html-italic">n</span>); “E” refers to the volume constant (<math display="inline"><semantics> <mi>A</mi> </semantics></math>); “F” indicates the time constant (<math display="inline"><semantics> <mi mathvariant="bold-italic">B</mi> </semantics></math>); “G” signifies the inverse inlet suction (α); “H” stands for the residual moisture content (<span class="html-italic">θr</span>) (unit: cm<sup>3</sup>/cm<sup>3</sup>); “I” denotes the soil infiltration rate during the stable infiltration stage (<math display="inline"><semantics> <mi>C</mi> </semantics></math>) (unit: cm<sup>3</sup>/(cm·min)); “J” represents the saturated hydraulic conductivity (<span class="html-italic">Ks</span>) (unit: cm/min); “K” stands for the saturated moisture content (<span class="html-italic">θs</span>) (unit: cm<sup>3</sup>/cm<sup>3</sup>); “L” represents <span class="html-italic">h</span> (unit: g/cm<sup>3</sup>); “M” refers to <span class="html-italic">I</span><sub>1</sub> (unit: cm), and represents the cumulative infiltration amount in the nonlinear stage (cm<sup>3</sup>/cm) in (a); “M” refers to <span class="html-italic">I</span><sub>2</sub> (unit: cm), and represents the cumulative infiltration volume during the stable infiltration stage (cm<sup>3</sup>/cm) in (b); “N” indicates <span class="html-italic">tI</span><sub>1</sub> (unit: min) in (a); “N” also represents <span class="html-italic">tI</span><sub>2</sub> (unit: min) in (b).</p>
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<p>Sensitivity of various factors.</p>
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<p>Comparison of cumulative infiltration and migration distance of wetting front.</p>
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<p>Comparison results of measured and calculated values of wetting front.</p>
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15 pages, 11010 KiB  
Article
Functional Connectivity Differences in the Perception of Abstract and Figurative Paintings
by Iffah Syafiqah Suhaili, Zoltan Nagy and Zoltan Juhasz
Appl. Sci. 2024, 14(20), 9284; https://doi.org/10.3390/app14209284 - 12 Oct 2024
Cited by 1 | Viewed by 1384
Abstract
The goal of neuroaesthetic research is to understand the neural mechanisms underpinning the perception and appreciation of art. The human brain has the remarkable ability to rapidly recognize different artistic styles. Using functional connectivity, this study investigates whether there are differences in connectivity [...] Read more.
The goal of neuroaesthetic research is to understand the neural mechanisms underpinning the perception and appreciation of art. The human brain has the remarkable ability to rapidly recognize different artistic styles. Using functional connectivity, this study investigates whether there are differences in connectivity networks formed during the processing of abstract and figurative paintings. Eighty paintings (forty abstract and forty figurative) were presented in a random order for eight seconds to each of the 29 participants. High-density EEG recordings were taken, from which functional connectivity networks were extracted at several time points (−300, 100, 300 and 500 ms). The debiased weighted phase lag index (dwPLI) was used to extract the connectivity networks for the abstract and figurative conditions across multiple frequency bands. Significant connectivity differences were detected for both conditions at each time point and in each frequency band: delta (p < 0.0273), theta (p < 0.0292), alpha (p < 0.0299), beta (p < 0.0275) and gamma (p < 0.0266). The topology of the connectivity networks also varied over time and frequency, indicating the multi-scale dynamics of art style perception. The method used in this study has the ability to identify not only brain regions but their interaction (communication) patterns and their dynamics at distinct time points, in contrast to average ERP waveforms and potential distributions. Our findings suggest that the early perception stage of visual art involves complex, distributed networks that vary with the style of the artwork. The difference between the abstract and figurative connectivity network patterns indicates the difference between the underlying style-related perceptual and cognitive processes. Full article
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<p>Schematic representation of the experimental protocol and timeline. A one-second cue is followed by the 8 s presentation of the painting, after which the subject has 4 s to respond by pressing a ‘Like’ or ‘Dislike’ button.</p>
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<p>Grand average group ERP waveforms of all electrodes in the figurative condition. Time 0 represents the presentation of the stimulus that lasts 8 s. Note the amplitude peaks at 100 and 300 ms and the drop at 900 ms onwards. Different waveform colors represent different EEG channels.</p>
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<p>Grand average group ERP map series from 0 to 1100 ms post-stimulus in the figurative condition. Values are in μVolts. Note the dominance of occipital areas throughout the time interval with hardly any detectable activity in other areas.</p>
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<p>The interpolated full-band node strength topography map time series of the figurative condition. Time starts at 150 ms pre-stimulus and stops at 550 ms post-stimulus. Stimulus is presented at 0 ms, time step is 50 ms.</p>
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<p>The interpolated full-band node strength topography map time series of the abstract condition. Time starts at 150 ms pre-stimulus and stops at 550 ms post-stimulus. Stimulus is presented at 0 ms, time step is 50 ms.</p>
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<p>Location of increased connections for figurative (<b>top</b>) and abstract (<b>bottom</b>) conditions in the delta band. Only the significant edges (<span class="html-italic">p</span> &lt; 0.05) from the strongest 5% of the connections are retained and displayed.</p>
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<p>Location of increased connections for figurative (<b>top</b>) and abstract (<b>bottom</b>) conditions in the theta band. Only the significant edges (<span class="html-italic">p</span> &lt; 0.05) from the strongest 5% of the connections are retained and displayed.</p>
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<p>Location of increased connections for figurative (<b>top</b>) and abstract (<b>bottom</b>) conditions in the alpha band. Only the significant edges (<span class="html-italic">p</span> &lt; 0.05) from the strongest 5% of the connections are retained and displayed.</p>
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<p>Location of increased connections for figurative (<b>top</b>) and abstract (<b>bottom</b>) conditions in the beta band. Only the significant edges (<span class="html-italic">p</span> &lt; 0.05) from the strongest 5% of the connections are retained and displayed.</p>
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<p>Location of increased connections for figurative (<b>top</b>) and abstract (<b>bottom</b>) conditions in the gamma band. Only the significant edges (<span class="html-italic">p</span> &lt; 0.05) from the strongest 5% of the connections are retained and displayed.</p>
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17 pages, 892 KiB  
Article
Bivariate Pareto–Feller Distribution Based on Appell Hypergeometric Function
by Christian Caamaño-Carrillo, Moreno Bevilacqua, Michael Zamudio-Monserratt and Javier E. Contreras-Reyes
Axioms 2024, 13(10), 701; https://doi.org/10.3390/axioms13100701 - 9 Oct 2024
Viewed by 713
Abstract
The Pareto–Feller distribution has been widely used across various disciplines to model “heavy-tailed” phenomena, where extreme events such as high incomes or large losses are of interest. In this paper, we present a new bivariate distribution based on the Appell hypergeometric function with [...] Read more.
The Pareto–Feller distribution has been widely used across various disciplines to model “heavy-tailed” phenomena, where extreme events such as high incomes or large losses are of interest. In this paper, we present a new bivariate distribution based on the Appell hypergeometric function with marginal Pareto–Feller distributions obtained from two independent gamma random variables. The proposed distribution has the beta prime marginal distributions as special case, which were obtained using a Kibble-type bivariate gamma distribution, and the stochastic representation was obtained by the quotient of a scale mixture of two gamma random variables. This result can be viewed as a generalization of the standard bivariate beta I (or inverted bivariate beta distribution). Moreover, the obtained bivariate density is based on two confluent hypergeometric functions. Then, we derive the probability distribution function, the cumulative distribution function, the moment-generating function, the characteristic function, the approximated differential entropy, and the approximated mutual information index. Based on numerical examples, the exact and approximated expressions are shown. Full article
(This article belongs to the Special Issue Advances in Statistical Simulation and Computing)
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<p>Bivariate pdf of Equation (<a href="#FD7-axioms-13-00701" class="html-disp-formula">7</a>) for some parameter combinations.</p>
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<p>Correlation <math display="inline"><semantics> <msub> <mi>ρ</mi> <mi>Y</mi> </msub> </semantics></math> of Corollary 1(4) for some parameter combinations.</p>
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<p>Approximated mutual information index of Pareto–Feller distribution assuming <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>ν</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>ρ</mi> <mo>=</mo> <mn>0.25</mn> </mrow> </semantics></math>, and (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>ρ</mi> <mo>=</mo> <mn>0.75</mn> </mrow> </semantics></math>.</p>
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