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21 pages, 2159 KiB  
Article
Multi-Secular Trend of Drought Indices in Padua, Italy
by Francesca Becherini, Claudio Stefanini, Antonio della Valle, Francesco Rech, Fabio Zecchini and Dario Camuffo
Climate 2024, 12(12), 218; https://doi.org/10.3390/cli12120218 - 10 Dec 2024
Viewed by 375
Abstract
The aim of this work is to investigate drought variability in Padua, northern Italy, over a nearly 300-year period, from 1725 to 2023. Two well-established and widely used indices are calculated, the standardized precipitation index (SPI) and the standardized precipitation evapotranspiration index (SPEI). [...] Read more.
The aim of this work is to investigate drought variability in Padua, northern Italy, over a nearly 300-year period, from 1725 to 2023. Two well-established and widely used indices are calculated, the standardized precipitation index (SPI) and the standardized precipitation evapotranspiration index (SPEI). They are compatible with a data series starting in the early instrumental period, as both can be estimated using only temperature and precipitation data. The Padua daily precipitation and temperature series from the early 18th century, which were recovered and homogenized with current observations, are used as datasets. The standard approach to estimate SPI and SPEI based on gamma and log-logistic probability distribution functions, respectively, is questioned, assessing the fitting performance of different distributions applied to monthly precipitation data. The best-performing distributions are identified for each index and accumulation period at annual and monthly scales, and their normality is evaluated. In general, they detect more extreme drought events than the standard functions. Moreover, the main statistical values of SPI are very similar, regardless of the approach type, as opposed to SPEI. The difference between SPI and SPEI time series calculated with the best-fit approach has increased since the mid-20th century, in particular in spring and summer, and can be related to ongoing global warming, which SPEI takes into account. The innovative trend analysis applied to SPEI12 indicates a general increasing trend in droughts, while for SPI12, it is significant only for severe events. Summer and fall are the most affected seasons. The critical drought intensity–duration–frequency curves provide an easily understandable relationship between the intensity, duration and frequency of the most severe droughts and allow for the calculation of return periods for the critical events of a certain duration. Moreover, the longest and most severe droughts over the 1725–2023 period are identified. Full article
(This article belongs to the Special Issue Climate Variability in the Mediterranean Region)
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<p>Map of Italy indicating the location of Padua inside the Veneto Region.</p>
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<p>Flowchart of the methodology used to calculate the drought indices.</p>
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<p>Building procedure for the final precipitation series from 1951 to 2023 [<a href="#B26-climate-12-00218" class="html-bibr">26</a>].</p>
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<p>(<b>a</b>) Mean bias error (MBE) between the SPEI values estimated with standard (SA), “general”(BFAg) and “monthly” (BFAm) best-fit approaches for each accumulation period. For SPEI12, BFAg = BFAm. (<b>b</b>) Relative error (RE) of the number of classes detected by SPI and SPEI estimated with SA and the average between BFAg and BFAm. SPI6 is not reported, as for all approaches, gamma was the best-fitting function.</p>
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<p>Difference between SPI and SPEI time series calculated with the best-fit approach applied month by month: (<b>a</b>) December values of SPI12-SPEI12 for yearly analysis; (<b>b</b>) February values of SPI3-SPEI3 for winter (DJF); (<b>c</b>) May values of SPI3-SPEI3 for spring (MAM); (<b>d</b>) August values of SPI3-SPEI3 for summer (JJA); (<b>e</b>) November values of SPI3-SPEI3 for fall (SON). Red and blue lines indicate positive and negative differences, respectively.</p>
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<p>Innovative trend analysis performed for SPI12 (<b>a</b>) and SPEI12 (<b>b</b>) time series calculated with the best-fit approach applied month by month. The colored rectangles indicate the area where the SPI and SPEI belong to the severely wet (blue) and severe drought (red) classes.</p>
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<p>Wavelet transform of the SPEI12 time series calculated with the “monthly” standard approach (SA) and “general”(BFAg) and “monthly” (BFAm) best-fit approaches: (<b>a</b>) continuous wavelet scalogram with the area outside of the cone of influence masked; (<b>b</b>) red-noise spectrum of the time series at the 90<sup>th</sup>, 95<sup>th</sup> and 99<sup>th</sup> significance levels.</p>
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<p>Critical drought intensity–duration–frequency curves for SPI3 (<b>a</b>), SPI12 (<b>b</b>), SPEI3 (<b>c</b>) and SPEI12 (<b>d</b>) for RP = 5, 10, 25, 50, 100, 300 years.</p>
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<p>Critical drought intensity–duration–frequency curves for SPI3 (<b>a</b>), SPI12 (<b>b</b>), SPEI3 (<b>c</b>) and SPEI12 (<b>d</b>) for RP = 5, 10, 25, 50, 100, 300 years.</p>
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20 pages, 13199 KiB  
Article
Peripherally Restricted Activation of Opioid Receptors Influences Anxiety-Related Behaviour and Alters Brain Gene Expression in a Sex-Specific Manner
by Nabil Parkar, Wayne Young, Trent Olson, Charlotte Hurst, Patrick Janssen, Nick J. Spencer, Warren C. McNabb and Julie E. Dalziel
Int. J. Mol. Sci. 2024, 25(23), 13183; https://doi.org/10.3390/ijms252313183 - 7 Dec 2024
Viewed by 594
Abstract
Although effects of stress-induced anxiety on the gastrointestinal tract and enteric nervous system (ENS) are well studied, how ENS dysfunction impacts behaviour is not well understood. We investigated whether ENS modulation alters anxiety-related behaviour in rats. We used loperamide, a potent μ-opioid receptor [...] Read more.
Although effects of stress-induced anxiety on the gastrointestinal tract and enteric nervous system (ENS) are well studied, how ENS dysfunction impacts behaviour is not well understood. We investigated whether ENS modulation alters anxiety-related behaviour in rats. We used loperamide, a potent μ-opioid receptor agonist that does not cross the blood–brain barrier, to manipulate ENS function and assess changes in behaviour, gut and brain gene expression, and microbiota profile. Sprague Dawley (male/female) rats were acutely dosed with loperamide (subcutaneous) or control solution, and their behavioural phenotype was examined using open field and elevated plus maze tests. Gene expression in the proximal colon, prefrontal cortex, hippocampus, and amygdala was assessed by RNA-seq and caecal microbiota composition determined by shotgun metagenome sequencing. In female rats, loperamide treatment decreased distance moved and frequency of supported rearing, indicating decreased exploratory behaviour and increased anxiety, which was associated with altered hippocampal gene expression. Loperamide altered proximal colon gene expression and microbiome composition in both male and female rats. Our results demonstrate the importance of the ENS for communication between gut and brain for normo-anxious states in female rats and implicate corticotropin-releasing hormone and gamma-aminobutyric acid gene signalling pathways in the hippocampus. This study also sheds light on sexually dimorphic communication between the gut and the brain. Microbiome and colonic gene expression changes likely reflect localised effects of loperamide related to gut dysmotility. These results suggest possible ENS pharmacological targets to alter gut to brain signalling for modulating mood. Full article
(This article belongs to the Special Issue Interactions between the Nervous System and Gastrointestinal Motility)
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<p>Study design: (<b>a</b>) Rats were acclimatised to their new living environment for one week after which they were handled for one week; (<b>b</b>) On the day of the behaviour tests, rats were administered with loperamide or DMSO (control) two hours prior to the start of the behaviour testing (OF, EPM); (<b>c</b>) Rats were re-administered with loperamide or DMSO (control) the next day, two hours prior to sampling. Created in BioRender. (2024) <a href="http://BioRender.com/x26y637" target="_blank">BioRender.com/x26y637</a>.</p>
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<p>Open field test: (<b>a</b>) Distance moved; (<b>b</b>) Velocity of tracked movement; (<b>c</b>) Rearing frequency; (<b>d</b>) Coloured concentric circles are representative of different zones in the arena (red represents center or 25% zone; grey represents periphery or 100% zone); (<b>e</b>) Time spent in 25% or center zone of OF arena; (<b>f</b>) Time spent in the 100% zone or periphery of the OF arena. Asterisks indicate statistical significance (* <span class="html-italic">p</span> &lt; 0.05; ** <span class="html-italic">p</span> &lt; 0.01). Data shown as mean with error bars indicating SEM, <span class="html-italic">n</span> = 7–8 animals per treatment group.</p>
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<p>Elevated plus maze: (<b>a</b>) Distance moved; (<b>b</b>) Velocity of tracked movement; (<b>c</b>) Percent entries in open arms of the EPM; (<b>d</b>) Diagram of the EPM; (<b>e</b>) Graph showing % time spent in open arms of the EPM; (<b>f</b>) Percent time spent in center zone of the EPM. Asterisks indicate statistical significance (* <span class="html-italic">p</span> &lt; 0.05; ** <span class="html-italic">p</span> &lt; 0.01). Data shown as mean with error bars indicating SEM, <span class="html-italic">n</span> = 7–8 animals per treatment group.</p>
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<p>(<b>a</b>) Heatmap showing differentially expressed genes in the hippocampus of loperamide-treated (<span class="html-italic">n</span> = 7) and control (<span class="html-italic">n</span> = 8) female rats. The red and blue colour scale represents expression, with red being higher and blue being lower. The values are scaled by row, which means the actual expression (counts) has been converted to standard deviations above and below the median which is set at zero; (<b>b</b>) Reactome pathways differentially expressed by gene set enrichment analysis (<span class="html-italic">p</span> &lt; 0.05) in amygdala, hippocampus, and prefrontal cortex of female rats. Red circles indicate overall significantly higher expression in loperamide rats compared to controls and blue circles indicate overall significantly lower expression compared to controls. Grey circles indicate pathways not differentially expressed (<span class="html-italic">p</span> &gt; 0.05). The size of circles is proportional to the number of up- or downregulated genes.</p>
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<p>(<b>a</b>) Volcano plot of control versus loperamide-treated groups for differentially expressed genes in the proximal colon. Heatmaps showing the top 40 differentially expressed genes in the proximal colon of (<b>b</b>) female (<span class="html-italic">n</span> = 7) and (<b>c</b>) male rats (<span class="html-italic">n</span> = 8). The red and blue colour scale represents expression, with red being higher and blue being lower. The values are scaled by row, which means the actual expression (counts) has been converted to standard deviations above and below the median which is set at zero.</p>
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<p>(<b>a</b>) Volcano plot of control versus loperamide-treated groups for differentially expressed genes in the proximal colon. Heatmaps showing the top 40 differentially expressed genes in the proximal colon of (<b>b</b>) female (<span class="html-italic">n</span> = 7) and (<b>c</b>) male rats (<span class="html-italic">n</span> = 8). The red and blue colour scale represents expression, with red being higher and blue being lower. The values are scaled by row, which means the actual expression (counts) has been converted to standard deviations above and below the median which is set at zero.</p>
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<p>(<b>a</b>) Taxonomic composition of the caecal microbiota at the family level. The <span class="html-italic">x</span> axis represents treatment, and the <span class="html-italic">y</span> axis represents relative abundance in percent. Low-abundance groups are the sum of all taxa outside of the 20 most abundant families. (<b>b</b>) Principal coordinate analysis (PCoA) plot of weighted UniFrac phylogenetic distances of caecal microbiotas from control (yellow) or loperamide (blue) groups, <span class="html-italic">n</span> = 8 males (squares) and 8 females (circles) per treatment group (PC1 vs. PC2). Percentages on axes indicate the proportion of variation explained by each dimension. Permutation analysis of variance indicated a significant difference between loperamide and control communities (ANOSIM <span class="html-italic">p</span> value = 0.001, R statistic = 0.449), ellipse depicts 75% confidence interval. (<b>c</b>) Box plots showing Bacteroides to be more abundant in loperamide-treated male and female rats compared to controls (median with 95% confidence intervals).</p>
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<p>Correlation between time spent in the closed arm of the EPM and other variables identified by the sPLS-DA algorithm. Variables are displayed in the circle grouped by the type of variables for: genes from PFC; prefrontal cortex; HIP, hippocampus; AMY, amygdala; GUT, proximal colon; TAXA are the different caecal microbiome taxa; KEGG are microbiome genes/KEGG orthologues; EPM, parameters from the elevated plus maze; OFT, parameters from the open field test. Variables with a correlation score &gt; 0.75 are joined by an orange line and variables with a correlation score &lt; −0.75 are joined by a blue line.</p>
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25 pages, 2736 KiB  
Article
Predictive Model for Listeria monocytogenes in RTE Meats Using Exclusive Food Matrix Data
by N. A. Nanje Gowda, Manjari Singh, Gijs Lommerse, Saurabh Kumar, Eelco Heintz and Jeyamkondan Subbiah
Foods 2024, 13(23), 3948; https://doi.org/10.3390/foods13233948 - 6 Dec 2024
Viewed by 781
Abstract
Post-processing contamination of Listeria monocytogenes has remained a major concern for the safety of ready-to-eat (RTE) meat products that are not reheated before consumption. Mathematical models are rapid and cost-effective tools to predict pathogen behavior, product shelf life, and safety. The objective of this [...] Read more.
Post-processing contamination of Listeria monocytogenes has remained a major concern for the safety of ready-to-eat (RTE) meat products that are not reheated before consumption. Mathematical models are rapid and cost-effective tools to predict pathogen behavior, product shelf life, and safety. The objective of this study was to develop and validate a comprehensive model to predict the Listeria growth rate in RTE meat products as a function of temperature, pH, water activity, nitrite, acetic, lactic, and propionic acids. The Listeria growth data in RTE food matrices, including RTE beef, pork, and poultry products (731 data sets), were collected from the literature and databases like ComBase. The growth parameters were estimated using the logistic-with-delay primary model. The good-quality growth rate data (n = 596, R2 > 0.9) were randomly divided into 80% training (n = 480) and 20% testing (n = 116) datasets. The training growth rates were used to develop a secondary gamma model, followed by validation in testing data. The growth model’s performance was evaluated by comparing the predicted and observed growth rates. The goodness-of-fit parameter of the secondary model includes R2 of 0.86 and RMSE of 0.06 (μmax) during the development stage. During validation, the gamma model with interaction included an RMSE of 0.074 (μmax), bias, and accuracy factor of 0.95 and 1.50, respectively. Overall, about 81.03% of the relative errors (RE) of the model’s predictions were within the acceptable simulation zone (RE ± 0.5 log CFU/h). In lag time model validation, predictions were 7% fail-dangerously biased, and the accuracy factor of 2.23 indicated that the lag time prediction is challenging. The model may be used to quantify the Listeria growth in naturally contaminated RTE meats. This model may be helpful in formulations, shelf-life assessment, and decision-making for the safety of RTE meat products. Full article
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<p>Relationship between generation time and lag time for <span class="html-italic">Listeria</span> (training data).</p>
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<p>(<b>a</b>) Correlation between the observed and predicted growth rates of <span class="html-italic">L. monocytogenes</span>. (<b>b</b>) Distribution of the relative error of predicted values by the secondary model.</p>
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<p>Growth/no growth contour plot of µ<sub>max</sub> as a function of pH and temperature. The contour lines represent µ<sub>max</sub> predicted using Equation (6) with the model parameters reported in <a href="#foods-13-03948-t003" class="html-table">Table 3</a>.</p>
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<p>(<b>a</b>) Correlation between observed data and simulated growth rates by developed model for <span class="html-italic">L. monocytogenes</span>. (<b>b</b>) Distribution of relative errors within acceptable simulation zone for the model predictions.</p>
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<p>Predicted lag time by the developed gamma model against observed lag time in RTE meats for the validation data set.</p>
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<p>Interaction effects under different environmental conditions. Note: AA, LA, and PA refer to milli molar concentration (mM) of undissociated acetic acid, lactic acid, and propionic acid, respectively.</p>
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<p>(<b>a</b>–<b>g</b>) Relative error plots as a function of storage and inhibitory factors.</p>
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27 pages, 4630 KiB  
Review
Glutamate: Molecular Mechanisms and Signaling Pathway in Alzheimer’s Disease, a Potential Therapeutic Target
by Nidhi Puranik and Minseok Song
Molecules 2024, 29(23), 5744; https://doi.org/10.3390/molecules29235744 - 5 Dec 2024
Viewed by 663
Abstract
Gamma-glutamate is an important excitatory neurotransmitter in the central nervous system (CNS), which plays an important role in transmitting synapses, plasticity, and other brain activities. Nevertheless, alterations in the glutamatergic signaling pathway are now accepted as a central element in Alzheimer’s disease (AD) [...] Read more.
Gamma-glutamate is an important excitatory neurotransmitter in the central nervous system (CNS), which plays an important role in transmitting synapses, plasticity, and other brain activities. Nevertheless, alterations in the glutamatergic signaling pathway are now accepted as a central element in Alzheimer’s disease (AD) pathophysiology. One of the most prevalent types of dementia in older adults is AD, a progressive neurodegenerative illness brought on by a persistent decline in cognitive function. Since AD has been shown to be multifactorial, a variety of pharmaceutical targets may be used to treat the condition. N-methyl-D-aspartic acid receptor (NMDAR) antagonists and acetylcholinesterase inhibitors (AChEIs) are two drug classes that the Food and Drug Administration has authorized for the treatment of AD. The AChEIs approved to treat AD are galantamine, donepezil, and rivastigmine. However, memantine is the only non-competitive NMDAR antagonist that has been authorized for the treatment of AD. This review aims to outline the involvement of glutamate (GLU) at the molecular level and the signaling pathways that are associated with AD to demonstrate the drug target therapeutic potential of glutamate and its receptor. We will also consider the opinion of the leading authorities working in this area, the drawback of the existing therapeutic strategies, and the direction for the further investigation. Full article
(This article belongs to the Special Issue Discovering New Drug Targets for Neurodegenerative Disorders)
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<p>The figure depicts the main pathogenic features of Alzheimer’s disease, including Amyloid-beta plaques, neurofibrillary tangles, neuronal damage, decline, blood–brain barrier leakage, and neuroinflammation (created by Biorendor.com).</p>
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<p>The picture focuses on Alzheimer’s disease treatment objectives. Tau and beta-amyloid proteins, which are essential for pathogenic aggregation, gamma-secretase and beta-secretase, which are enzymes involved in the synthesis of amyloid, and acetylcholine esterase, a target for improving cholinergic function. The N-methyl-D-aspartate receptor (NMDA) and cholinergic receptors, which are intended to alter neuronal signaling and lessen excitotoxicity, and oxidative stress and calcium homeostasis, are major targets for AD therapeutics.</p>
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<p>FDA-approved drug treatment strategies for Alzheimer’s disease. (<b>A</b>) The drugs donepezil, galantamine, and rivastigmine inhibit acetylcholinesterase, preventing the breakdown of acetylcholine and thus enhancing cholinergic signaling. (<b>B</b>) The drug memantine blocks NMDA receptors, preventing excessive calcium influx that could lead to neuron damage (created by Biorendor.com).</p>
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<p>Diagrammatic representation of glutamate synthesis and cycling in neurons. This cycle helps maintain glutamate levels in the synapse, supports neurotransmission, and prevents excitotoxicity. The roles of EAAT, SN1, and SAT2 in the cycling process are critical for transferring glutamate and glutamine between neurons and glial cells, highlighting the cooperative nature of neurons and glial cells in regulating neurotransmitter levels (created by Biorendor.com).</p>
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<p>Diagram depicting the glutamate-mediated G-protein coupled receptor (GPCR) signaling pathway. The effector protein phospholipase C (PLC) is stimulated when the neurotransmitter glutamate binds to its receptor and activates a G-protein (Gqα). Two second messengers, inositol triphosphate (IP<sub>3</sub>) and diacylglycerol (DAG), are produced by PLC. IP<sub>3</sub> causes the release of Ca<sup>2+</sup> ions from intracellular storage, whereas DAG activates protein kinase C (PKC). When combined, these mechanisms result in elevated protein phosphorylation and Ca<sup>2+</sup>-binding protein activation, which promote downstream cellular reactions involved in a number of physiological functions (created by Biorendor.com).</p>
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<p>The diagram illustrates synaptic transmission under healthy and Alzheimer’s disease (AD) conditions. In the healthy synapse (<b>left</b> panel), glutamate (GLUT) is released from the presynapse into the synaptic cleft, where it binds to postsynaptic receptors, facilitating normal synaptic signaling. Microglia regulate extracellular glutamate levels by efficient uptake through glutamate transporters, maintaining synaptic homeostasis. In Alzheimer’s disease (<b>right</b> panel), amyloid-beta (Aβ) aggregates disrupt synaptic function by impairing glutamate uptake by microglia and promoting excitotoxicity. Aβ also interacts with synaptic receptors, contributing to postsynaptic dysfunction. These pathological changes highlight the impaired glutamate regulation and neurotoxicity characteristic of AD. The concept of the figure was adopted from [<a href="#B123-molecules-29-05744" class="html-bibr">123</a>] and has been modified and recreated on PowerPoint.</p>
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8 pages, 1783 KiB  
Case Report
68Ga-DOTATOC Uptake by Stellate Ganglia, Mimicking a Right Cervical Metastasis of Neuroendocrine Tumors: A Case Report
by Jules Tianyu Zhang-Yin and Emmanouil Panagiotidis
J. Clin. Med. 2024, 13(23), 7413; https://doi.org/10.3390/jcm13237413 - 5 Dec 2024
Viewed by 423
Abstract
Background: 68Ga-DOTATOC PET/CT is a functional imaging modality that has revolutionized the evaluation of well-differentiated neuroendocrine tumors (NETs) by targeting somatostatin receptors. This technique has largely replaced conventional gamma camera imaging with 111In-labeled octreotide due to its superior sensitivity and resolution. [...] Read more.
Background: 68Ga-DOTATOC PET/CT is a functional imaging modality that has revolutionized the evaluation of well-differentiated neuroendocrine tumors (NETs) by targeting somatostatin receptors. This technique has largely replaced conventional gamma camera imaging with 111In-labeled octreotide due to its superior sensitivity and resolution. While the physiologic distribution, normal variations, and common pitfalls associated with 68Ga-DOTATOC imaging are well documented, rare but clinically significant pitfalls can still occur. Methods: We present a case highlighting one such pitfall: focal 68Ga-DOTATOC uptake at the cervicothoracic junction, specifically within the stellate ganglia, which mimicked metastatic involvement of a NET. Results: Initially, the uptake was interpreted as a potential right cervical metastasis. To clarify this finding, a follow-up 68Ga-DOTATOC PET/CT was performed, which demonstrated no evidence of cervical metastases, thereby confirming the initial uptake as a physiologic variation rather than pathological activity. This case underscores the dynamic variability of 68Ga-DOTATOC uptake within the stellate ganglia in the same patient over time. On occasion, the intensity of physiologic uptake in these structures can be pronounced enough to mimic metastatic disease, posing a diagnostic challenge. Conclusions: Awareness of this rare phenomenon is essential to avoid misdiagnosis and unnecessary interventions. Full article
(This article belongs to the Section Endocrinology & Metabolism)
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<p><sup>68</sup>Ga-DOTATOC PET/CT 1 (Image (<b>A</b>) for MIP, (<b>B</b>) for transaxial PET, (<b>C</b>) for transaxial CT, and (<b>D</b>) for transaxial fused image); black plain arrows showing the moderate uptake of the right cervical focus.</p>
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<p>Diagnostic transaxial CT.</p>
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<p>Ultrasound in the region of the right lobe of the thyroid gland.</p>
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<p><sup>68</sup>Ga-DOTATOC PET/CT 2 (Image (<b>A</b>) for MIP, (<b>B</b>) for transaxial PET, (<b>C</b>) for transaxial CT, and (<b>D</b>) for transaxial fused image); black plain arrows showing the very mild uptake of the right cervical focus.</p>
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14 pages, 2109 KiB  
Article
Relationship Between Metabolic Profile, Pain, and Functionality in Patients with Frozen Shoulder: A Cross-Sectional Study
by Dina Hamed Hamed, Celia Rodríguez-Pérez, Leo Pruimboom and Santiago Navarro-Ledesma
Healthcare 2024, 12(23), 2444; https://doi.org/10.3390/healthcare12232444 - 4 Dec 2024
Viewed by 467
Abstract
Background: Frozen shoulder (FS), or adhesive capsulitis, is a disabling condition characterized by pain and restricted shoulder mobility. Aims: This study investigates the relationship between metabolic biomarkers—liver enzymes and thyroid function—and pain and shoulder functionality in patients with FS. Methods: A total of [...] Read more.
Background: Frozen shoulder (FS), or adhesive capsulitis, is a disabling condition characterized by pain and restricted shoulder mobility. Aims: This study investigates the relationship between metabolic biomarkers—liver enzymes and thyroid function—and pain and shoulder functionality in patients with FS. Methods: A total of 32 patients (22 women and 10 men) were included in this cross-sectional study. Participants underwent clinical evaluations and blood tests to assess metabolic biomarkers, including aspartate aminotransferase (AST), alanine aminotransferase (ALT), gamma-glutamyl transferase (GGT), and thyroid-stimulating hormone (TSH). Pain and functionality were measured using the Shoulder Pain and Disability Index (SPADI). Correlation and multiple regression analyses were performed to assess the associations between biomarkers, pain, and functionality. Results: Significant negative correlations were found between AST (r = −0.528, p = 0.029), ALT (r = −0.533, p = 0.027), GGT (r = −0.602, p = 0.011), and TSH (r = −0.556, p = 0.017) with total pain scores. A significant negative correlation was also observed between TSH and SPADI scores (r = −0.511, p = 0.039). Multiple regression analysis showed that GGT (β = −0.335, p = 0.008) and TSH (β = −0.298, p = 0.014) were the strongest predictors of pain. These findings suggest that metabolic biomarkers, particularly liver enzymes and thyroid function, play a significant role in the pathophysiology of frozen shoulder. The results highlight the importance of assessing these biomarkers for better understanding and managing pain and functionality in patients with FS. Conclusions: Further research is needed to explore the underlying mechanisms and potential therapeutic targets. Full article
(This article belongs to the Special Issue Innovative Strategies in Rheumatology Care)
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<p>Flow diagram of participants. <b>Abbreviations</b>: BMI: body mass index; NRS: numerical rating scale; SPADI: Shoulder Pain and Disability Index.</p>
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<p>This figure displays scatter plots for each liver enzyme (AST, ALT, and GGT) against total pain levels (NRS), with trendlines representing the negative correlations. Each plot includes the respective correlation coefficient (r) and <span class="html-italic">p</span>-value, illustrating the strength of each relationship.</p>
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<p>This scatter plot demonstrates the relationship between TSH levels and total pain scores (NRS). The figure includes a regression line to show the negative trend and the correlation coefficient, with visual emphasis on the strength of the association between TSH and pain.</p>
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<p>This scatter plot illustrates the relationship between TSH levels and SPADI scores, showing how lower thyroid hormone levels are linked to higher levels of functional impairment. The trend line and correlation coefficient provide a clear representation of the data.</p>
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<p>This figure includes two bar charts, one for men and one for women, comparing the strength of the correlations (r values) between the key metabolic biomarkers (AST, ALT, GGT, and TSH) and both pain and functionality. These charts highlight any differences in the magnitude of the relationships across genders.</p>
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<p>A forest plot is used to visualize the beta values (β) and 95% confidence intervals for each variable in the regression model (AST, ALT, GGT, and TSH). This figure highlights the relative contributions of each predictor to the model and shows the significance of each factor in determining pain levels.</p>
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15 pages, 5336 KiB  
Article
Study of Distribution of Free Flow Speeds on Urban Road Sections Depending on Their Functional Purpose and One-Way Traffic—Evidence from Kharkiv (Ukraine)
by Oleksandr Riabushenko, Grzegorz Sierpiński, Viktor Bogomolov, Ivan Nahliuk and Dmytro Leontiev
Appl. Sci. 2024, 14(23), 11302; https://doi.org/10.3390/app142311302 - 4 Dec 2024
Viewed by 391
Abstract
Data on the distribution of the free flow speed (FFS) of cars are used to solve a wide range of tasks in the field of road transport, starting from road design and ending with the development of traffic modeling and simulation programs. The [...] Read more.
Data on the distribution of the free flow speed (FFS) of cars are used to solve a wide range of tasks in the field of road transport, starting from road design and ending with the development of traffic modeling and simulation programs. The purpose of this study was to obtain the distribution of vehicle speeds on typical sections of the city road network, characterized by the presence of one-way traffic. The data were obtained by field observations using a portable radar. As a result, statistical characteristics and speed distribution laws for four sections of streets in the city of Kharkiv were analyzed. It was shown that the characteristics of FFS distributions differ depending on the functional class of the streets. Average FFS values on main street segments were on average 19 km/h higher. The one-way traffic has less impact on the FFS distribution, especially for arterial streets. The characteristics of FFS distributions differ depending on the type and functional class of streets; they can be described with sufficient accuracy by typical distribution laws, such as Normal, Log-normal, Gamma, and Chi-square. The results of this study can be useful for traffic modeling problems. Full article
(This article belongs to the Special Issue Research and Estimation of Traffic Flow Characteristics)
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<p>Location of measuring stations on the city map.</p>
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<p>Box and whisker plot of the experimental FFS distributions.</p>
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<p>Polygonal and cumulative plots of the distribution of FFS values.</p>
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<p>Approximation of FFS experimental data by theoretical distribution laws for the section Ave. Heroiv Kharkova.</p>
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<p>Approximation of FFS experimental data by theoretical distribution laws for the section Ave. Traktorobudivnykiv.</p>
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<p>Approximation of FFS experimental data by theoretical distribution laws for the section St. 12-ho Kvitnia.</p>
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<p>Approximation of FFS experimental data by theoretical distribution laws for the section St. Myru.</p>
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15 pages, 1872 KiB  
Article
Environmental Changes Driving Shifts in the Structure and Functional Properties of the Symbiotic Microbiota of Daphnia
by Minru You and Wenwu Yang
Microorganisms 2024, 12(12), 2492; https://doi.org/10.3390/microorganisms12122492 - 3 Dec 2024
Viewed by 514
Abstract
Symbiotic microbiota significantly influence the development, physiology, and behavior of their hosts, and therefore, they are widely studied. However, very few studies have investigated the changes in symbiotic microbiota across generations. Daphnia magna originating from the Qinghai–Tibetan Plateau were cultured through seven generations [...] Read more.
Symbiotic microbiota significantly influence the development, physiology, and behavior of their hosts, and therefore, they are widely studied. However, very few studies have investigated the changes in symbiotic microbiota across generations. Daphnia magna originating from the Qinghai–Tibetan Plateau were cultured through seven generations in our laboratory, and the symbiotic microbiota of D. magna were sequenced using a 16S rRNA amplicon to analyze changes in the structure and functional properties of the symbiotic microbiota of D. magna from a harsh environment to an ideal environment. We detected substantial changes in the symbiotic microbiota of D. magna across generations. For example, the genus Nevskia, a member of the gamma-subclass Proteobacteria, had the highest abundance in the first generation (G1), followed by a decrease in abundance in the fourth (G4) and seventh (G7) generations. The gene functions of the microbiota in different generations of D. magna also changed significantly. The fourth generation was mainly rich in fatty acyl-CoA synthase, acetyl-CoA acyltransferase, phosphoglycerol phosphatase, etc. The seventh generation was mainly rich in osmotic enzyme protein and ATP-binding protein of the ABC transport system. This study confirms that the alterations in the structure and functional properties of the symbiotic microbiota of D. magna under changing environments are typical responses of D. magna to environmental changes. Full article
(This article belongs to the Collection Feature Papers in Gut Microbiota Research)
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<p>Experimental design for cultivation of <span class="html-italic">D. magna</span>, isolated from BLX and CRP ponds on Qinghai–Tibetan Plateau. Here, G0 represents original individuals isolated from each pond; G1 represents first generation; G4 represents fourth generation; and G7 represents seventh generation.</p>
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<p>Temporal shifts in the symbiotic microbial communities across three generations (G1, G4, and G7) of <span class="html-italic">D. magna</span> from two ponds on the Qinghai–Tibetan Plateau. The distinct microbial genera are indicated by different colors. Amplicon sequence variants (ASVs) with an occurrence of &lt;1% were pooled in the “others” category. The gray bar on the right side shows the name of the source pond.</p>
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<p>Temporal changes in symbiotic microbial richness and diversities across three generations (G1, G4, and G7) of <span class="html-italic">D. magna</span> from two different ponds: (<b>A</b>) α−diversity (Shannon and ACE indexes) of symbiotic microbiota of <span class="html-italic">D. magna</span> across three generations. Bars represent mean values, while points represent real values. (<b>B</b>) Principal coordinate analysis (PCoA) of symbiotic microbiota across three generations of <span class="html-italic">D. magna</span>, based on weighted UniFrac distance.</p>
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<p>Linear discriminant analysis Effect Size (LEFSe) analysis showing statistically significant microbial biomarkers across three generations of <span class="html-italic">D. magna</span>. The histograms show the species that exceeded the linear discriminant analysis (LDA) score threshold of 4 in (<b>A</b>) BLX and (<b>C</b>) CRP, indicating variations in their abundance across different generations of <span class="html-italic">D. magna</span>. The bar lengths correspond to the impact magnitude of each taxon (LDA score). The cladograms were derived from the LEfSe analysis of taxa, with different abundances across the three generations of <span class="html-italic">D. magna</span>, in (<b>B</b>) BLX and (<b>D</b>) CRP. The concentric circles starting from the center depict taxonomic ranks from phylum to genus or species. The size of each circle at varying taxonomic levels signifies the relative abundance of corresponding taxa, with uniform gray shading showing no significant variation. Notable taxonomic differences between generations are indicated by specific colors. Nodes denote key microbial species, while circle diameters reflect the relative abundance of species. Prefixes denote classification levels: ‘p’ for phylum, ‘c’ for class, ‘o’ for order, ‘f’ for family, ‘g’ for genus, and ‘s’ for species.</p>
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<p>A PICRUSt2 function annotation clustering heatmap showing the function annotation clustering of symbiotic microbiota across three generations of <span class="html-italic">D. magna</span>. Different generations are shown on horizontal coordinates, while functional annotation information is shown on vertical coordinates. The functional dendrogram situated on the left side represents a cluster tree. The heatmap shows the Z-scores derived from the normalized functional abundance of each entry. Specifically, the Z score of a sample within a particular category is calculated by dividing the deviation of its relative abundance from the mean relative abundance within the category by the standard deviation across all samples within that category.</p>
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13 pages, 6784 KiB  
Article
Microneedle-Array-Mediated Transdermal Delivery of GCV-Functionalized Zeolitic Imidazolate Framework-8 Nanoparticles for KSHV Treatment
by Chengjing Liu, Xiuyuan Yin, Huiling Xu, Jianyu Xu, Mengru Gong, Zhenzhong Li, Qianhe Xu, Dongdong Cao and Dongmei Li
Int. J. Mol. Sci. 2024, 25(23), 12946; https://doi.org/10.3390/ijms252312946 - 2 Dec 2024
Viewed by 406
Abstract
Kaposi’s sarcoma-associated herpesvirus (KSHV) is a variety of the human gamma-herpesvirus that often leads to the occurrence of malignant tumors. In addition, the occurrence of Kaposi’s sarcoma is a major cause of death among AIDS patients. Ganciclovir (GCV) is the most widely used [...] Read more.
Kaposi’s sarcoma-associated herpesvirus (KSHV) is a variety of the human gamma-herpesvirus that often leads to the occurrence of malignant tumors. In addition, the occurrence of Kaposi’s sarcoma is a major cause of death among AIDS patients. Ganciclovir (GCV) is the most widely used drug against KSHV infection in the clinic. GCV can restrict the in vivo synthesis of DNA polymerase in KSHV, thereby inhibiting the replication of the herpesvirus. However, GCV still suffers from poor specificity and transmembrane capabilities, leading to many toxic side effects. Therefore, developing a drug delivery system that increases GCV concentrations in target cells remains a significant clinical challenge. In this study, zeolite imidazole salt framework-8 (ZIF-8), a biocompatible porous material constructed by coordinating zinc ions and 2-methylimidazole, was used to load GCV. A nano-delivery system with a microneedle structure was also constructed using a polydimethylsiloxane (PDMS) microneedle mold to fabricate MN/GCV@ZIF-8 arrays. These arrays not only offered good skin-piercing capabilities but also significantly inhibited the cleavage and replication of the virus in vivo, exerting an anti-KSHV function. For these reasons, the arrays were able penetrate the skin’s stratum corneum at the tumor site to deliver GCV and play an anti-KSHV role. Full article
(This article belongs to the Section Molecular Pathology, Diagnostics, and Therapeutics)
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<p>Synthesis and characterization of ZIF-8 and GCV@ZIF-8 NPs: (<b>a</b>,<b>b</b>) SEM images of ZIF-8 and GCV@ZIF-8 NPs; scale bar: 500 nm. (<b>c</b>,<b>d</b>) Particle size distribution of ZIF-8 and GCV@ZIF-8 NPs measured with DLS. (<b>e</b>) Zeta potential of ZIF-8 and GCV@ZIF-8 NPs measured with DLS. (<b>f</b>) TEM images of ZIF-8 and corresponding elemental mapping images of C, N, O, and Zn. (<b>g</b>) TEM images of GCV@ZIF-8 and corresponding elemental mapping images of C, N, O, and Zn.</p>
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<p>The (<b>a</b>) pH responsiveness and (<b>b</b>) cell toxicity of GCV@ZIF-8; data are presented as the mean ± SD for three independent experiments; *** <span class="html-italic">p</span> &lt; 0.001; **** <span class="html-italic">p</span> &lt; 0.0001.</p>
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<p>Characterization and SEM images of the MNs: (<b>a</b>) overhead view of MN/DOX + GCV; (<b>b</b>) high-magnification views of MNs; (<b>c</b>) lateral views of MNs; (<b>d</b>) image of microneedles taken with an inverted microscope; (<b>e</b>) confocal images of the microneedle; (<b>f</b>) stress curves of microneedles; (<b>g</b>) the appearance of the skin after treatment with MNs; (<b>h</b>) the penetration of drug content into the skin after inserting MNs at different timepoints.</p>
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<p>Confocal images of the microneedles: (<b>a</b>) the appearance of the skin after treatment with MNs; (<b>b</b>) confocal laser tomography images of DAPI (Blue) and Rhodamine (Red) staining with microneedles.</p>
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<p>The anti-tumor effects of MNs in vivo: (<b>a</b>) tumor volume of each group; (<b>b</b>) body weight records of nude mice; (<b>c</b>) tumors isolated from nude mice; (<b>d</b>) HE staining of different organs (heart, liver, spleen, lungs, kidneys, and tumor) in nude mice. Data are presented as the mean ± SD for three independent experiments; *** <span class="html-italic">p</span> &lt; 0.001; **** <span class="html-italic">p</span> &lt; 0.0001.</p>
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<p>KSHV gene expression levels in the tumor. Data are presented as the mean ± SD for three independent experiments; * <span class="html-italic">p</span> &lt; 0.05; ** <span class="html-italic">p</span> &lt; 0.01; *** <span class="html-italic">p</span> &lt; 0.001; **** <span class="html-italic">p</span> &lt; 0.0001.</p>
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<p>The synthesis method of GCV@ZIF-8.</p>
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15 pages, 294 KiB  
Article
Bayesian Fictitious Play in Oligopoly: The Case of Risk-Averse Agents
by Julide Yazar
Games 2024, 15(6), 40; https://doi.org/10.3390/g15060040 - 27 Nov 2024
Viewed by 648
Abstract
A number of learning models have been suggested to analyze the repeated interaction of boundedly rational agents competing in oligopolistic markets. The agents form a model of the environment that they are competing in, which includes the market demand and price formation process, [...] Read more.
A number of learning models have been suggested to analyze the repeated interaction of boundedly rational agents competing in oligopolistic markets. The agents form a model of the environment that they are competing in, which includes the market demand and price formation process, as well as their expectations of their rivals’ actions. The agents update their model based on the observed output and price realizations and then choose their next period output levels according to an optimization criterion. In previous works, the global dynamics of price movement have been analyzed when risk-neutral agents maximize their expected rewards at each round. However, in many practical settings, agents may be concerned with the risk or uncertainty in their reward stream, in addition to the expected value of the future rewards. Learning in oligopoly models for the case of risk-averse agents has received much less attention. In this paper, we present a novel learning model that extends fictitious play learning to continuous strategy spaces where agents combine their prior beliefs with market price realizations in previous periods to learn the mean and the variance of the aggregate supply function of the rival firms in a Bayesian framework. Next, each firm maximizes a linear combination of the expected value of the profit and a penalty term for the variance of the returns. Specifically, each agent assumes that the aggregate supply of the remaining agents is sampled from a parametric distribution employing a normal-inverse gamma prior. We prove the convergence of the proposed dynamics and present simulation results to compare the proposed learning rule to the traditional best response dynamics. Full article
(This article belongs to the Special Issue Applications of Game Theory to Industrial Organization)
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<p>For the two experiments, the output decisions <math display="inline"><semantics> <msub> <mi>q</mi> <mi>t</mi> </msub> </semantics></math> of the two firms, as well as their beliefs (mean of the posterior distribution) <math display="inline"><semantics> <msub> <mover accent="true"> <mi>q</mi> <mo>¯</mo> </mover> <mi>t</mi> </msub> </semantics></math>, converge smoothly to the Nash equilibrium output levels, under the proposed Bayesian fictitious play dynamics. In contrast, the best response dynamics exhibit sharp cycles before convergence.</p>
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<p>For the two experiments, the output decisions <math display="inline"><semantics> <msub> <mi>q</mi> <mi>t</mi> </msub> </semantics></math> of the two firms, as well as their beliefs (mean of the posterior distribution) <math display="inline"><semantics> <msub> <mover accent="true"> <mi>q</mi> <mo>¯</mo> </mover> <mi>t</mi> </msub> </semantics></math>, converge smoothly to the Nash equilibrium output levels, under the proposed Bayesian fictitious play dynamics. In contrast, the best response dynamics exhibit sharp cycles before convergence.</p>
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17 pages, 2541 KiB  
Article
Analyzing Chemical Decay in Environmental Nanomaterials Using Gamma Distribution with Hybrid Censoring Scheme
by Hanan Haj Ahmad, Dina A. Ramadan and Mohamed Aboshady
Mathematics 2024, 12(23), 3737; https://doi.org/10.3390/math12233737 - 27 Nov 2024
Viewed by 375
Abstract
This study addresses the challenges of estimating decay times for chemical components, focusing on hydroxylated fullerene C60(OH)29, which poses potential environmental risks due to its persistence and transformation in soil. Given the complexities of real-world experiments [...] Read more.
This study addresses the challenges of estimating decay times for chemical components, focusing on hydroxylated fullerene C60(OH)29, which poses potential environmental risks due to its persistence and transformation in soil. Given the complexities of real-world experiments such as limited sample availability, time constraints, and the need for efficient resource use, a framework using the Gamma distribution based on hybrid Type-II censoring schemes was developed to model the decay time. The Gamma distribution’s flexibility and mathematical properties make it well-suited for reliability and decay analysis, capturing variable hazard rates and accommodating different censoring structures. We employ maximum likelihood estimation (MLE) and Bayesian methods to estimate the model’s parameters, consequently estimating the reliability and hazard functions. The large sample theory for MLE is used to approximate variances for constructing asymptotic confidence intervals. Additionally, we utilize the Markov chain Monte Carlo technique within the Bayesian framework to ensure robust parameter estimation. Through simulation studies and statistical tests—such as Chi-Square, Kolmogorov–Smirnov, and others—we assess the Gamma distribution’s fit and compare its performance with other distributions, validating the proposed model’s effectiveness. Full article
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<p>Hazard rate plot with different values of <math display="inline"><semantics> <mi>α</mi> </semantics></math> and <math display="inline"><semantics> <mi>β</mi> </semantics></math>.</p>
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<p>Three-dimensional hazard rate surface plot for different values of <math display="inline"><semantics> <mi>α</mi> </semantics></math> and <math display="inline"><semantics> <mi>β</mi> </semantics></math>, with different times (<b>a</b>) t = 1, (<b>b</b>) t = 3, (<b>c</b>) t = 6, (<b>d</b>) t = 8.</p>
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<p>Graphical representation of the HTIIC scheme.</p>
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<p>Empirical and fitted survival function for the dataset in <a href="#mathematics-12-03737-t004" class="html-table">Table 4</a>.</p>
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<p>P-P and Q-Q plots for the decay time of the <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>60</mn> </msub> <msub> <mrow> <mo>(</mo> <mi>O</mi> <mi>H</mi> <mo>)</mo> </mrow> <mn>29</mn> </msub> </mrow> </semantics></math>.</p>
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<p>Histogram with fitted PDFs (<b>left</b>) and residual plots (<b>right</b>) for the decay time of the <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>60</mn> </msub> <msub> <mrow> <mo>(</mo> <mi>O</mi> <mi>H</mi> <mo>)</mo> </mrow> <mn>29</mn> </msub> </mrow> </semantics></math>.</p>
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<p>Convergence for the estimated parameters of <math display="inline"><semantics> <mi>α</mi> </semantics></math> and <math display="inline"><semantics> <mi>β</mi> </semantics></math>.</p>
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<p>Convergence for the estimated parameters of <math display="inline"><semantics> <mrow> <mi>S</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>h</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </semantics></math>.</p>
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17 pages, 4345 KiB  
Article
Seasonal Changes and Age-Related Effects on the Intestinal Microbiota of Captive Chinese Monals (Lophophorus lhuysii)
by Lijing Huang, Yanchu Zheng, Shaohua Feng, Bangyuan Wu, Li Chen, Xiaoqin Xu, Bin Wang, Wanhong Li, Caiquan Zhou and Long Zhang
Animals 2024, 14(23), 3418; https://doi.org/10.3390/ani14233418 - 26 Nov 2024
Viewed by 433
Abstract
The Chinese monal (Lophophorus lhuysii) is a large-sized and vulnerable (VU in IUCN) bird from southwestern China. This study applied 16S rRNA high-throughput sequencing to comprehensively examine the gut microbiota of captive Chinese monals (located in Baoxing, Sichuan, China) across varying [...] Read more.
The Chinese monal (Lophophorus lhuysii) is a large-sized and vulnerable (VU in IUCN) bird from southwestern China. This study applied 16S rRNA high-throughput sequencing to comprehensively examine the gut microbiota of captive Chinese monals (located in Baoxing, Sichuan, China) across varying seasons and life stages. Dominant bacterial phyla identified included Proteobacteria, Firmicutes, Bacteroidetes, and Actinobacteria. Significant seasonal and age-associated shifts were observed within specific bacterial groups, particularly marked by seasonal fluctuations in beta diversity. Moreover, linear discriminant analysis effect size (LEfSe) and functional predictions highlighted distinct winter signatures, indicating possible functional shifts in energy metabolism and disease resistance. In mid-aged adults, an expansion of Gamma-Proteobacteria suggested an elevated susceptibility of the gut microbiota of Chinese monals to chronic disorders and microbial imbalance. Putative pathogenic bacteria exhibited increased abundance in spring and summer, likely driven by temperature, host physiological cycles, interspecies interactions, and competition. These findings imply that the diversity, and structure of the gut microbiota in captive Chinese monals are strongly influenced by seasonal and age-related factors. The insights provided here are essential for improving breeding strategies and preventing gastrointestinal diseases in captivity. Full article
(This article belongs to the Section Birds)
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<p>Distribution of ASV in fecal samples of Chinese monal in different seasons (<b>A</b>) and ages (<b>B</b>).</p>
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<p>The relative abundance of gut microbiota in captive Chinese monals across different seasons (<b>A</b>,<b>B</b>) and age groups (<b>C</b>,<b>D</b>) was presented at both the phylum and genus levels. Panels (<b>A</b>,<b>C</b>) illustrate microbial composition at the phylum level, while panels (<b>B</b>,<b>D</b>) depict the distribution at the genus level.</p>
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<p>Seasonal and age-related variations in gut microbiota abundance in Chinese monals were assessed. LEfSe analysis, incorporating the Kruskal-Wallis test (<span class="html-italic">p</span> &lt; 0.05) and an LDA score threshold of 4.0, was employed to detect significant microbial differences across groups. A cladogram illustrates the seasonal shifts in enriched bacterial taxa (<b>A</b>), while a separate cladogram highlights age-related differences in microbial abundance (<b>B</b>). The letters preceding ASVs denote taxonomic ranks: p = phylum, c = class, o = order, f = family, g = genus, s = species.</p>
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<p>Seasonal and age-related variations in the gut microbiota of the Chinese monal were assessed through α diversity metrics. Panels (<b>A</b>,<b>E</b>) display the Shannon index, (<b>B</b>,<b>F</b>) represent the Simpson index, (<b>C</b>,<b>G</b>) illustrate the Ace index, while (<b>D</b>,<b>H</b>) depict the Chao1 index.</p>
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<p>The beta diversity of the gut microbiota composition in Chinese monals was assessed across different seasons (<b>A</b>,<b>B</b>) and age groups (<b>C</b>,<b>D</b>). NMDS and PCoA were employed to evaluate the variations in gut microbiota communities, with statistical significance denoted by <span class="html-italic">p</span> values (<span class="html-italic">p</span> &lt; 0.05). Each color corresponds to a distinct group, where proximity between samples indicates greater similarity in microbial composition and structure, while greater distance signifies increased dissimilarity. Panels (<b>A</b>,<b>C</b>) display the results from NMDS and panels (<b>B</b>,<b>D</b>) from PCoA.</p>
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<p>Differences in KEGG metabolic pathways of Chinese monal in different seasons (<b>A</b>) and ages (<b>B</b>).</p>
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<p>Seasonal (<b>A</b>,<b>C</b>) and age-related (<b>B</b>,<b>D</b>) variations in the SparCC heatmaps and relative abundance of potential pathogenic bacteria in the gut microbiota of Chinese monals were highlighted.</p>
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24 pages, 1660 KiB  
Article
Performance Study of FSO/THz Dual-Hop System Based on Cognitive Radio and Energy Harvesting System
by Jingwei Lu, Rongpeng Liu, Yawei Wang, Ziyang Wang and Hongzhan Liu
Electronics 2024, 13(23), 4656; https://doi.org/10.3390/electronics13234656 - 26 Nov 2024
Viewed by 421
Abstract
In order to address the problems of low spectrum efficiency in current communication systems and extend the lifetime of energy-constrained relay devices, this paper proposes a novel dual-hop free-space optical (FSO) system that integrates cognitive radio (CR) and energy harvesting (EH). In this [...] Read more.
In order to address the problems of low spectrum efficiency in current communication systems and extend the lifetime of energy-constrained relay devices, this paper proposes a novel dual-hop free-space optical (FSO) system that integrates cognitive radio (CR) and energy harvesting (EH). In this system, the source node communicates with two users at the terminal via FSO and terahertz (THz) hard-switching links, as well as a multi-antenna relay for non-orthogonal multiple access (NOMA). There is another link whose relay acts as both the power beacon (PB) in the EH system and the primary network (PN) in the CR system, achieving the double function of auxiliary transmission. In addition, based on the three possible practical working scenarios of the system, three different transmit powers of the relay are distinguished, thus enabling three different working modes of the system. Closed-form expressions are derived for the interruption outage probability per user for these three operating scenarios, considering the Gamma–Gamma distribution for the FSO link, the αμ distribution for the THz link, and the Rayleigh fading distribution for the radio frequency (RF) link. Finally, the numerical results show that this novel system can be adapted to various real-world scenarios and possesses unique advantages. Full article
(This article belongs to the Section Microwave and Wireless Communications)
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<p>Hard-switched FSO/THz-RF dual-hop NOMA link with CR and EH.</p>
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<p>The comparison between different beamwidth and jitter standard deviations versus OPs.</p>
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<p>The comparison between <math display="inline"><semantics> <mrow> <mi>S</mi> <mi>R</mi> </mrow> </semantics></math> link transmission distances and THz frequency cases versus OP. The first row represent <math display="inline"><semantics> <msub> <mi>U</mi> <mn>1</mn> </msub> </semantics></math>, and the second row represent <math display="inline"><semantics> <msub> <mi>U</mi> <mn>2</mn> </msub> </semantics></math>, respectively.</p>
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<p>SNR versus OP under the comparison between different visibility.</p>
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<p>SNR versus OP for different turbulence conditions and pointing errors when <math display="inline"><semantics> <mrow> <mi>L</mi> <mi>F</mi> </mrow> </semantics></math> = <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>T</mi> </mrow> </semantics></math> = 350 m among three working scenarios.</p>
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<p>OP versus <span class="html-italic">N</span> among three working scenarios.</p>
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<p>OP versus <math display="inline"><semantics> <mrow> <msub> <mi>g</mi> <mi>u</mi> </msub> <mn>1</mn> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mi>ξ</mi> </semantics></math> = 1, <math display="inline"><semantics> <mrow> <msub> <mi>P</mi> <mi>B</mi> </msub> <mo>/</mo> <msub> <mi>N</mi> <mn>0</mn> </msub> </mrow> </semantics></math> = 2 dB, <math display="inline"><semantics> <mrow> <mi>η</mi> <mo>/</mo> <msub> <mi>P</mi> <mi>B</mi> </msub> </mrow> </semantics></math> =-1.9 dB, <math display="inline"><semantics> <msub> <mi>g</mi> <mrow> <mi>R</mi> <mi>n</mi> <msub> <mi>U</mi> <mn>1</mn> </msub> </mrow> </msub> </semantics></math> = 3 dB, <math display="inline"><semantics> <msub> <mi>g</mi> <mrow> <mi>R</mi> <mi>n</mi> <msub> <mi>U</mi> <mn>2</mn> </msub> </mrow> </msub> </semantics></math> = 5 dB, <math display="inline"><semantics> <msub> <mi>α</mi> <mn>1</mn> </msub> </semantics></math> = 0.77, and <math display="inline"><semantics> <msub> <mi>γ</mi> <mrow> <mi>S</mi> <mi>R</mi> </mrow> </msub> </semantics></math> = 15 dB.</p>
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<p>OP versus <math display="inline"><semantics> <msub> <mi>α</mi> <mn>1</mn> </msub> </semantics></math> with <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>r</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>P</mi> <mi>B</mi> </msub> <mo>/</mo> <msub> <mi>N</mi> <mn>0</mn> </msub> </mrow> </semantics></math> = 2 dB, <math display="inline"><semantics> <mrow> <mi>η</mi> <mo>/</mo> <msub> <mi>P</mi> <mi>B</mi> </msub> </mrow> </semantics></math> = -1.9 dB, <math display="inline"><semantics> <msub> <mi>g</mi> <mrow> <mi>R</mi> <mi>n</mi> <msub> <mi>U</mi> <mn>1</mn> </msub> </mrow> </msub> </semantics></math> = 3 dB, <math display="inline"><semantics> <msub> <mi>g</mi> <mrow> <mi>R</mi> <mi>n</mi> <msub> <mi>U</mi> <mn>2</mn> </msub> </mrow> </msub> </semantics></math> = 5 dB, <math display="inline"><semantics> <mi>α</mi> </semantics></math> = 2.902, <math display="inline"><semantics> <mi>β</mi> </semantics></math> = 2.510, and <math display="inline"><semantics> <msub> <mi>γ</mi> <mrow> <mi>S</mi> <mi>R</mi> </mrow> </msub> </semantics></math> = 8 dB.</p>
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<p>OP versus <math display="inline"><semantics> <mrow> <mi>η</mi> <mo>/</mo> <msub> <mi>P</mi> <mi>B</mi> </msub> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>r</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>P</mi> <mi>B</mi> </msub> <mo>/</mo> <msub> <mi>N</mi> <mn>0</mn> </msub> </mrow> </semantics></math> = 2 dB, <math display="inline"><semantics> <msub> <mi>g</mi> <mrow> <mi>R</mi> <mi>n</mi> <msub> <mi>U</mi> <mn>1</mn> </msub> </mrow> </msub> </semantics></math> = 3 dB, <math display="inline"><semantics> <msub> <mi>g</mi> <mrow> <mi>R</mi> <mi>n</mi> <msub> <mi>U</mi> <mn>2</mn> </msub> </mrow> </msub> </semantics></math> = 5 dB, <math display="inline"><semantics> <mi>α</mi> </semantics></math>= 2.902, <math display="inline"><semantics> <mi>β</mi> </semantics></math> = 2.510, <math display="inline"><semantics> <msub> <mi>α</mi> <mn>1</mn> </msub> </semantics></math> = 0.77, and <math display="inline"><semantics> <msub> <mi>γ</mi> <mrow> <mi>S</mi> <mi>R</mi> </mrow> </msub> </semantics></math> = 15 dB.</p>
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<p>A comparison of the power of the SN network and OP at different <span class="html-italic">I</span>.</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 378
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 386
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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