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19 pages, 1149 KiB  
Article
Rat as a Predictive Model for Human Clearance and Bioavailability of Monoclonal Antibodies
by Jason D. Robarge, Kevin M. Budge, Lucy Her, Andrea M. Patterson and Patricia Brown-Augsburger
Antibodies 2025, 14(1), 2; https://doi.org/10.3390/antib14010002 - 24 Dec 2024
Viewed by 790
Abstract
Background: The prediction of human clearance (CL) and subcutaneous (SC) bioavailability is a critical aspect of monoclonal antibody (mAb) selection for clinical development. While monkeys are a well-accepted model for predicting human CL, other preclinical species have been less-thoroughly explored. Unlike CL, predicting [...] Read more.
Background: The prediction of human clearance (CL) and subcutaneous (SC) bioavailability is a critical aspect of monoclonal antibody (mAb) selection for clinical development. While monkeys are a well-accepted model for predicting human CL, other preclinical species have been less-thoroughly explored. Unlike CL, predicting the bioavailability of SC administered mAbs in humans remains challenging as contributing factors are not well understood, and preclinical models have not been systematically evaluated. Methods: Non-clinical and clinical pharmacokinetic (PK) parameters were mined from public and internal sources for rats, cynomolgus monkeys, and humans. Intravenous (IV) and SC PK was determined in Sprague Dawley rats for fourteen mAbs without existing PK data. Together, we obtained cross-species data for 25 mAbs to evaluate CL and SC bioavailability relationships among rats, monkeys, and humans. Results: Rat and monkey CL significantly correlated with human CL and supported the use of species-specific exponents for body-weight-based allometric scaling. Notably, rat SC bioavailability significantly correlated with human SC bioavailability, while monkey SC bioavailability did not. Bioavailability also correlated with clearance. Conclusions: The rat model enables an early assessment of mAb PK properties, allowing discrimination among molecules in the discovery pipeline and prediction of human PK. Importantly, rat SC bioavailability significantly correlated with human SC bioavailability, which has not been observed with other species. Rats are cost-effective and efficient relative to monkeys and provide a valuable tool for pharmacokinetic predictions in therapeutic antibody discovery. Full article
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Graphical abstract

Graphical abstract
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<p>Weight-normalized clearance (CL) relationships between humans and pre-clinical species. (<b>a</b>) CL in humans versus CL in monkeys for 22 mAbs; (<b>b</b>) CL in humans versus CL in rats for 23 mAbs. Solid black lines represent the unity line, while dashed lines represent 0.5 and 2-fold change from the unity line.</p>
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<p>Goodness-of-fit plots and scaled human clearance (CL) for monkey-to-human (<b>a</b>–<b>c</b>) and rat-to-human (<b>d</b>–<b>f</b>) allometric CL models. Observed versus predicted CL in monkeys (<b>a</b>) and humans (<b>b</b>) from the monkey-to-human model. (<b>c</b>) Observed human CL versus human CL scaled from monkeys using an allometric exponent of 0.84. Observed versus predicted CL in rats (<b>d</b>) and humans (<b>e</b>) from the rat-to-human model. (<b>f</b>) Observed human CL versus human CL scaled from rats using an allometric exponent of 0.92. Solid lines represent the unity line, while dashed lines represent 2-fold change in slope from the unity line.</p>
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<p>Subcutaneous bioavailability (SC%F) relationships between humans and pre-clinical species. (<b>A</b>) SC%F in humans versus SC%F in monkeys for 14 mAbs. (<b>B</b>) SC%F in humans versus SC%F in rats for 13 mAbs. Solid black lines represent the unity line, while dashed black lines represent a 1.5-fold change in slope from the unity line. Dashed blue lines and equations represent linear regression of the data points.</p>
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<p>Correlation analysis between weight-normalized clearance (CL) and subcutaneous bioavailability (SC%F) in (<b>A</b>) humans, (<b>B</b>) monkeys, and (<b>C</b>) rats. Linear regression lines and analyses are shown on each graph.</p>
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<p>(<b>a</b>) Weight-normalized clearance for all mAbs in the dataset across species. (<b>b</b>) Subcutaneous bioavailability (%) for all mAbs in the dataset across species. Data are presented as mean ± standard deviation.</p>
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23 pages, 424 KiB  
Article
Joint Communication and Channel Discrimination
by Han Wu and Hamdi Joudeh
Entropy 2024, 26(12), 1089; https://doi.org/10.3390/e26121089 - 13 Dec 2024
Cited by 2 | Viewed by 642
Abstract
We consider a basic joint communication and sensing setup comprising a transmitter, a receiver and a sensor. The transmitter sends a codeword to the receiver through a discrete memoryless channel, and the receiver is interested in decoding the transmitted codeword. At the same [...] Read more.
We consider a basic joint communication and sensing setup comprising a transmitter, a receiver and a sensor. The transmitter sends a codeword to the receiver through a discrete memoryless channel, and the receiver is interested in decoding the transmitted codeword. At the same time, the sensor picks up a noisy version of the transmitted codeword through one of two possible discrete memoryless channels. The sensor knows the codeword and wishes to discriminate between the two possible channels, i.e., to identify the channel that has generated the output given the input. We study the trade-off between communication and sensing in the asymptotic regime, captured in terms of the channel coding rate against the two types of discrimination error exponents. We characterize the optimal trade-off between the rate and the exponents for general discrete memoryless channels with an input cost constraint. Full article
(This article belongs to the Special Issue Integrated Sensing and Communications)
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<p>Illustration of the considered setting. A precise definition of all blocks is given in <a href="#sec2-entropy-26-01089" class="html-sec">Section 2</a>.</p>
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10 pages, 816 KiB  
Article
Local Dynamic Stability of Trunk During Gait Can Detect Dynamic Imbalance in Subjects with Episodic Migraine
by Stefano Filippo Castiglia, Gabriele Sebastianelli, Chiara Abagnale, Francesco Casillo, Dante Trabassi, Cherubino Di Lorenzo, Lucia Ziccardi, Vincenzo Parisi, Antonio Di Renzo, Roberto De Icco, Cristina Tassorelli, Mariano Serrao and Gianluca Coppola
Sensors 2024, 24(23), 7627; https://doi.org/10.3390/s24237627 - 28 Nov 2024
Viewed by 647
Abstract
Background/Hypothesis: Motion sensitivity symptoms, such as dizziness or unsteadiness, are frequently reported as non-headache symptoms of migraine. Postural imbalance has been observed in subjects with vestibular migraine, chronic migraine, and aura. We aimed to assess the ability of largest Lyapunov’s exponent for a [...] Read more.
Background/Hypothesis: Motion sensitivity symptoms, such as dizziness or unsteadiness, are frequently reported as non-headache symptoms of migraine. Postural imbalance has been observed in subjects with vestibular migraine, chronic migraine, and aura. We aimed to assess the ability of largest Lyapunov’s exponent for a short time series (sLLE), which reflects the ability to cope with internal perturbations during gait, to detect differences in local dynamic stability between individuals with migraine without aura (MO) with an episodic pattern between attacks and healthy subjects (HS). Methods: Trunk accelerations of 47 MO and 38 HS were recorded during gait using an inertial measurement unit. The discriminative ability of sLLE was assessed through receiver-operating characteristics curves and cutoff analysis. Partial correlation analysis was conducted between the clinical and gait variables, excluding the effects of gait speed. Results: MO showed higher sLLE values, and reduced pelvic rotation, pelvic tilt, and stride length values. sLLEML and pelvic rotation showed good ability to discriminate between MO and HS and were correlated with the perceived pain, migraine disability assessment score, and each other. Conclusions: these findings may provide new insights into the postural balance control mechanism in subjects with MO and introduce the sLLEML as a potential measure of dynamic instability in MO. Full article
(This article belongs to the Special Issue Feature Papers in Wearables 2024)
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Figure 1
<p>Phase space reconstruction plots of a representative patients with MO (plots on the (<b>left</b>)) and a healthy subject (plots on the (<b>right</b>)) for the (<b>a</b>) vertical (V), (<b>b</b>) antero-posterior (AP), and (<b>c</b>) medio-lateral (ML) directions of the acceleration signals. The color of each line segment corresponds to the sLLE value at that point in time, as indicated by the colormap. Lighter colors indicate higher divergence levels.</p>
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<p>Significant differences between patients with MO and HS. The figure represents the raincloud plots of the significantly different variables between MO (orange) and HS (green). <span class="html-italic">p</span>-values and Cohen’s d are reported above the boxplots. Distribution shapes are also reported for each plot for each group. Created using JASP software, vers. 0.17.02.</p>
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23 pages, 1286 KiB  
Article
Validity of Linear and Nonlinear Measures of Gait Variability to Characterize Aging Gait with a Single Lower Back Accelerometer
by Sophia Piergiovanni and Philippe Terrier
Sensors 2024, 24(23), 7427; https://doi.org/10.3390/s24237427 - 21 Nov 2024
Cited by 1 | Viewed by 781
Abstract
The attractor complexity index (ACI) is a recently developed gait analysis tool based on nonlinear dynamics. This study assesses ACI’s sensitivity to attentional demands in gait control and its potential for characterizing age-related changes in gait patterns. Furthermore, we compare ACI with classical [...] Read more.
The attractor complexity index (ACI) is a recently developed gait analysis tool based on nonlinear dynamics. This study assesses ACI’s sensitivity to attentional demands in gait control and its potential for characterizing age-related changes in gait patterns. Furthermore, we compare ACI with classical gait metrics to determine its efficacy relative to established methods. A 4 × 200 m indoor walking test with a triaxial accelerometer attached to the lower back was used to compare gait patterns of younger (N = 42) and older adults (N = 60) during normal and metronome walking. The other linear and non-linear gait metrics were movement intensity, gait regularity, local dynamic stability (maximal Lyapunov exponents), and scaling exponent (detrended fluctuation analysis). In contrast to other gait metrics, ACI demonstrated a specific sensitivity to metronome walking, with both young and old participants exhibiting altered stride interval correlations. Furthermore, there was a significant difference between the young and old groups (standardized effect size: −0.77). Additionally, older participants exhibited slower walking speeds, a reduced movement intensity, and a lower gait regularity. The ACI is likely a sensitive marker for attentional load and can effectively discriminate age-related changes in gait patterns. Its ease of measurement makes it a promising tool for gait analysis in unsupervised (free-living) conditions. Full article
(This article belongs to the Special Issue Sensors for Unsupervised Mobility Assessment and Rehabilitation)
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<p>Experimental protocol for normal and metronome walking assessment: two-lap corridor test.</p>
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<p>Descriptive statistics of basic gait parameters, movement intensity, and RMS ratio. Sixty older and 42 young adults performed 4 × 200 m indoor walking tests with and without synchronizing their steps to an isochronous metronome at their preferred cadence and walking speed. Box plots show median, quartiles, range of data, and outliers (red crosses) representing values exceeding 1.5 times the interquartile range beyond Q1 and Q3. Individual data are shown as black dots. Average walking speed was measured by displacement timing. Step frequency was assessed by spectral analysis of the acceleration signal. Movement intensity is the RMS of the norm of the 3D acceleration. RMS ratio is the ratio between the mediolateral and the norm of acceleration, which is indicative of the lateral gait stability.</p>
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<p>Descriptive statistics of the gait regularity and stability. Sixty older and 42 young adults performed 4 × 200 m indoor walking tests with and without synchronizing their steps to an isochronous metronome at their preferred cadence and walking speed. Box plots show median, quartiles, range of data, and outliers (red crosses) representing values exceeding 1.5 times the interquartile range beyond Q1 and Q3. Individual data are shown as black dots. The autocorrelation function (ACF) method was used to assess the step regularity and the stride regularity. Short-term logarithmic divergence exponents (maximal Lyapunov exponents) of the mediolateral (ML) acceleration, representative of the local dynamic stability (LDS), were assessed using Rosenstein’s algorithm.</p>
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<p>Descriptive statistics of the attractor complexity index (ACI) and the gait complexity (DFA). Sixty older and 42 young adults performed 4 × 200 m indoor walking tests with and without synchronizing their steps to an isochronous metronome at their preferred cadence and walking speed. Box plots show median, quartiles, range of data, and outliers (red crosses) representing values exceeding 1.5 times the interquartile range beyond Q1 and Q3. Individual data are shown as black dots. Long-term logarithmic divergence exponents (maximal Lyapunov exponents) of the vector norm (N), the anteroposterior (AP), and the vertical (V) accelerations, representative of ACI, were assessed using Rosenstein’s algorithm. Scaling exponents (α, correlation structure) were computed based on the stride intervals measured by the foot-mounted accelerometer. The detrended fluctuation analysis (DFA) was applied.</p>
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<p>Inferential statistics: mixed-effect linear models. Sixty older and 42 young adults performed 4 × 200 m indoor walking tests with and without synchronizing their steps to an isochronous metronome at their preferred cadence and walking speed. Ten multiple regression models were fitted to the gait metrics obtained from the walking tests with the lower back accelerometer and the foot accelerometer (scaling exponent only). Two independent categorical variables were introduced: group membership (older or young) and walking conditions (normal or metronome walking). In addition, the preferred walking speed was introduced as a continuous covariate. The data were standardized. The absolute values of the regression coefficients (fixed effects) and their 99% confidence intervals are presented graphically, with negative coefficients drawn in red and with dashed lines. The values of the coefficients are added on the top of each line. ACI: attractor complexity index; ACF: autocorrelation function; LDS: local dynamic stability; DFA: detrended fluctuation analysis; RMS: root mean square; N: norm; AP: anteroposterior; V: vertical; ML: mediolateral.</p>
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12 pages, 918 KiB  
Article
Wind Turbine Blade Fault Diagnosis: Approximate Entropy as a Tool to Detect Erosion and Mass Imbalance
by Salim Lahmiri
Fractal Fract. 2024, 8(8), 484; https://doi.org/10.3390/fractalfract8080484 - 19 Aug 2024
Viewed by 933
Abstract
Wind energy is a clean, sustainable, and renewable source. It is receiving a large amount of attention from governments and energy companies worldwide as it plays a significant role as an alternative source of energy in reducing carbon emissions. However, due to long-term [...] Read more.
Wind energy is a clean, sustainable, and renewable source. It is receiving a large amount of attention from governments and energy companies worldwide as it plays a significant role as an alternative source of energy in reducing carbon emissions. However, due to long-term operation in reduced and difficult weather conditions, wind turbine blades are always seriously damaged. Hence, damage detection in blade structure is essential to evaluate its operational condition and ensure its structural integrity and safety. We aim to use fractal, entropy, and chaos concepts as descriptors for the diagnosis of wind turbine blade condition. They are, respectively, estimated by the correlation dimension, approximate entropy, and the Lyapunov exponent. Formal statistical tests are performed to check how they are different across wind turbine blade conditions. The experimental results follow. First, the correlation dimension is not able to distinguish between all conditions of wind turbine blades. Second, approximate entropy is suitable to distinguish between healthy and erosion conditions and between healthy and mass imbalance conditions. Third, chaos is not a discriminative feature to distinguish between wind turbine blade conditions. Fourth, wind turbine blades with either erosion or mass imbalance exhibit less irregularity in their respective signals than healthy wind turbine blades. Full article
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<p>Examples of measured wind turbine blade signals under different conditions at wind speed 1.3 m/s.</p>
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<p>Boxplots of estimated correlation dimension under different conditions.</p>
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<p>Boxplots of estimated approximate entropy under different conditions.</p>
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<p>Boxplots of estimated Lyapunov exponent under different conditions.</p>
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23 pages, 4781 KiB  
Article
Aerosol Types and Their Climatology over the Dust Belt Region
by Ahmad E. Samman and Mohsin J. Butt
Atmosphere 2023, 14(11), 1610; https://doi.org/10.3390/atmos14111610 - 27 Oct 2023
Cited by 7 | Viewed by 1926
Abstract
Aerosols, both natural and anthropogenic, are an important but complex component of the Earth’s climate system. Their net impact on climate is about equal in magnitude to that of greenhouse gases but can vary significantly by region and type. Understanding and quantifying these [...] Read more.
Aerosols, both natural and anthropogenic, are an important but complex component of the Earth’s climate system. Their net impact on climate is about equal in magnitude to that of greenhouse gases but can vary significantly by region and type. Understanding and quantifying these aerosol effects is critical for accurate climate modeling and for developing strategies to mitigate climate change. In this paper, we utilize AERONET (Aerosol Robotic NETwork) data from 10 stations situated in the dust belt region to characterize aerosol properties essential for climate change assessment. Aerosol optical depth (AOD) data at 500 nm and Ångström exponent (α) data at the pair of wavelengths of 440 and 870 nm (α440-870) in the study region are analyzed to discriminate among different types of aerosols. The annual and monthly variabilities in AODs are analyzed to see the aerosols trend in the study region. In addition, the AOD and α440-870 data are utilized in order to determine different aerosol types during the period of study. Furthermore, the correlation coefficient between AODs and various meteorological parameters (temperature, wind speed, wind direction, relative humidity, and visibility) is analyzed. The results of the study indicate that Tamanrasset (2.49%), KAUST (1.29%), Solar Village (1.67%), and Dalanzadgad (0.64%) indicate an increasing trend, while Cairo (−0.38%), Masdar (−2.31%), Dushanbe (−1.18%), and Lahore (−0.10%) indicate a decreasing trend in AODs during the study period. Similarly, the results of characterizing aerosol types show that the highest percentage of desert dust aerosols (68%), mixed aerosols (86%), and biomass burning aerosols (15%) are found over Tamanrasset, Lahore, and Dalanzadgad AERONET stations. The study revealed a strong correlation between AODs and visibility, a moderate correlation with temperature, and a low correlation with other meteorological parameters (wind speed, wind direction, and relative humidity) in the study region. The results of the study are very encouraging and enhance our confidence in using historical AERONET data to improve our understanding of atmospheric aerosols’ characteristics. Full article
(This article belongs to the Special Issue Chemical and Morphological Characterization of Atmospheric Aerosols)
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<p>The topography (km) of the study region and the location of the AERONET stations.</p>
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<p>The average annual AOD and Ångström exponent (α<sub>440-870</sub>) (<b>a</b>,<b>b</b>) for North African (Tamanrasset, Medenine, and Cairo), (<b>c</b>,<b>d</b>) for Middle Eastern (KASUT, Solar Village, Kuwait University, and the Masdar Institute), and (<b>e</b>,<b>f</b>) for Asian (Dushanbe, Lahore, and Dalanzadgad) AERONET stations.</p>
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<p>The average monthly AOD and Ångström exponent (α<sub>440-870</sub>) (<b>a</b>,<b>b</b>) for North African (Tamanrasset, Medenine, and Cairo), (<b>c</b>,<b>d</b>) for Middle Eastern (KASUT, Solar Village, Kuwait University, and the Masdar Institute), and (<b>e</b>,<b>f</b>) for Asian (Dushanbe, Lahore, and Dalanzadgad) AERONET stations.</p>
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<p>Scatter plots between AODs (500 nm) and the Ångström exponent (α<sub>440-870</sub>) for (<b>a</b>) North African (Tamanrasset, Medenine, and Cairo), (<b>b</b>) Middle Eastern (KASUT, Solar Village, Kuwait University, and the Masdar Institute), and (<b>c</b>) Asian (Dushanbe, Lahore, and Dalanzadgad) AERONET stations.</p>
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<p>Percentage of aerosol types for each station.</p>
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<p>Daily AOD and visibility pattern for the AERONET stations.</p>
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<p>Daily AOD and temperature (°C) for the AERONET stations.</p>
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18 pages, 3198 KiB  
Article
Discerning Xylella fastidiosa-Infected Olive Orchards in the Time Series of MODIS Terra Satellite Evapotranspiration Data by Using the Fisher–Shannon Analysis and the Multifractal Detrended Fluctuation Analysis
by Luciano Telesca, Nicodemo Abate, Farid Faridani, Michele Lovallo and Rosa Lasaponara
Fractal Fract. 2023, 7(6), 466; https://doi.org/10.3390/fractalfract7060466 - 9 Jun 2023
Cited by 5 | Viewed by 1843
Abstract
Xylella fastidiosa is a phytobacterium able to provoke severe diseases in many species. When it infects olive trees, it induces the olive quick decline syndrome that leads the tree to a rapid desiccation and then to the death. This phytobacterium has been recently [...] Read more.
Xylella fastidiosa is a phytobacterium able to provoke severe diseases in many species. When it infects olive trees, it induces the olive quick decline syndrome that leads the tree to a rapid desiccation and then to the death. This phytobacterium has been recently detected in olive groves in southern Italy, representing an important threat to the olive growing of the area. In this paper, in order to identify patterns revealing the presence of Xylella fastidiosa, several hundreds pixels of MODIS satellite evapostranspiration covering infected and healthy olive groves in southern Italy were analyzed by means of the Fisher–Shannon method and the multifractal detrended fluctuation analysis. The analysis of the receiver operating characteric curve indicates that the two informational quantities (the Fisher information measure and the Shannon entropy) and the three multifractal parameters (the range of generalized Hurst exponents and the width and the maximum of the multifractal spectrum) are well suited to discriminate between infected and healthy sites, although the maximum of the multifractal spectrum performs better than the others. These results could suggest the use of both the methods as an operational tool for early detection of plant diseases. Full article
(This article belongs to the Section Life Science, Biophysics)
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<p>Infected and healthy sites. The infected sites were selected on the basis of [<a href="#B27-fractalfract-07-00466" class="html-bibr">27</a>].</p>
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<p>Pixel time series of an infected site.</p>
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<p>Periodogram of the time series of the MODIS ET pixels covering the not-infected area.</p>
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<p>Periodogram of the time series of the MODIS ET pixels covering the infected area.</p>
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<p>Normalized residual of pixel time series shown in <a href="#fractalfract-07-00466-f002" class="html-fig">Figure 2</a>.</p>
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<p><math display="inline"><semantics> <msup> <mi>R</mi> <mn>2</mn> </msup> </semantics></math> of the pixels covering the infected area.</p>
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<p><math display="inline"><semantics> <msup> <mi>R</mi> <mn>2</mn> </msup> </semantics></math> of the pixels covering the not-infected area.</p>
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<p>Fluctuation functions for <math display="inline"><semantics> <mrow> <mi>q</mi> <mo>=</mo> <mo>−</mo> <mn>5</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>q</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math> of an <span class="html-italic">Xylella</span>-affected pixel.</p>
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<p>Fluctuation functions for <math display="inline"><semantics> <mrow> <mi>q</mi> <mo>=</mo> <mo>−</mo> <mn>5</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>q</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math> of an <span class="html-italic">Xylella</span>-unaffected pixel.</p>
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<p>Boxplot of the <math display="inline"><semantics> <msub> <mi>h</mi> <mi>q</mi> </msub> </semantics></math>-range.</p>
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<p>Boxplot of the width <span class="html-italic">W</span>.</p>
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<p>Boxplot of the maximum <math display="inline"><semantics> <msub> <mi>α</mi> <mn>0</mn> </msub> </semantics></math>.</p>
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<p>Boxplot of the FIM.</p>
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<p>Boxplot of the SEP.</p>
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<p>ROC curves for the five investigated parameters.</p>
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<p>AUC for the five investigated parameters.</p>
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18 pages, 2005 KiB  
Article
Effect of Vacuum Packaging on the Biochemical, Viscoelastic, and Sensory Properties of a Spanish Cheese during Chilled Storage
by Inmaculada Franco, Verónica Bargiela and Clara A. Tovar
Foods 2023, 12(7), 1381; https://doi.org/10.3390/foods12071381 - 24 Mar 2023
Cited by 3 | Viewed by 1961
Abstract
The unique qualities of Spanish cheeses, such as the San Simón da Costa (SSC) cheese, are protected by the Protected Designation of Origin (PDO) status. The technological importance of chilled storage at 4 °C of vacuum-packaged (V) and natural (N) (unpackaged) cheeses was [...] Read more.
The unique qualities of Spanish cheeses, such as the San Simón da Costa (SSC) cheese, are protected by the Protected Designation of Origin (PDO) status. The technological importance of chilled storage at 4 °C of vacuum-packaged (V) and natural (N) (unpackaged) cheeses was examined. For this purpose, the physico-chemical, biochemical, mechanical (puncture tests), viscoelastic (oscillatory and transient tests) and sensory properties of V and N cheeses were compared and analysed. During chilled storage, the caseins in V cheeses did not undergo proteolytic reactions. Low temperature maintained a low intensity of proteolytic phenomena for up to 6 months. Lipolysis was more intense in the N than in the V samples. The moisture content decreased in the N cheeses during chilled storage, and thus, the casein matrix concentration and ionic strength increased, resulting in an increase in the gel strength (S) parameter and complex modulus (G*), and the conformational stability?high stress amplitude (?max). The low and similar values of the n’ and n’’ exponents (mechanical spectra) and the n parameter (transient tests) indicated the high degree of the temporal stability of the cheese network in both the N and V samples, irrespective of storage time. Likewise, the similar values of the phase angle (?) for the N and V cheeses during storage indicate energy-stable bonds in the SSC cheese matrix. The attributes of the oral tactile phase (firmness, friability, gumminess, and microstructure perception), mechanical parameters and viscoelastic moduli enabled the discrimination of the packaged and unpackaged cheeses. Cheeses chilled and stored without packaging were awarded the highest scores for sensory attributes (preference) by trained panellists. Full article
(This article belongs to the Section Food Quality and Safety)
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<p>SDS-PAGE electrophoretograms of caseins and their degradation products during chilled storage of natural (N) and vacuum-packaged (V) samples of San Simón da Costa cheese.</p>
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<p>Mechanical spectra of natural (N) and vacuum-packaged (V) San Simón da Costa cheese during chilled storage. Storage modulus (G’) (<b>a</b>) and loss modulus (G’’) (<b>b</b>), T = 20 °C.</p>
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<p>Creep–recovery compliance of natural (N) and vacuum-packaged (V) San Simón da Costa cheese during chilled storage, T = 20 °C.</p>
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<p>Characteristics of oral tactile phase of natural (N) (<b><span style="color:#2F5496">---</span></b>) and vacuum-packaged (V) (<b><span style="color:red">…</span></b>) San Simón da Costa cheese during chilled storage.</p>
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<p>Organoleptic characteristics of natural (N) (<b><span style="color:#2F5496">---</span></b>) and vacuum-packaged (V) (<b><span style="color:red">…</span></b>) San Simón da Costa cheese during chilled storage.</p>
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30 pages, 1358 KiB  
Article
Vanishing Opinions in Latané Model of Opinion Formation
by Maciej Dworak and Krzysztof Malarz
Entropy 2023, 25(1), 58; https://doi.org/10.3390/e25010058 - 28 Dec 2022
Cited by 7 | Viewed by 2062
Abstract
In this paper, the results of computer simulations based on the Nowak–Szamrej–Latané model with multiple (from two to five) opinions available in the system are presented. We introduce the noise discrimination level (which says how small the clusters of agents could be considered [...] Read more.
In this paper, the results of computer simulations based on the Nowak–Szamrej–Latané model with multiple (from two to five) opinions available in the system are presented. We introduce the noise discrimination level (which says how small the clusters of agents could be considered negligible) as a quite useful quantity that allows qualitative characterization of the system. We show that depending on the introduced noise discrimination level, the range of actors’ interactions (controlled indirectly by an exponent in the distance scaling function, the larger the exponent, the more influential the nearest neighbors are) and the information noise level (modeled as social temperature, which increases results in the increase in randomness in taking the opinion by the agents), the ultimate number of the opinions (measured as the number of clusters of actors sharing the same opinion in clusters greater than the noise discrimination level) may be smaller than the number of opinions available in the system. These are observed in small and large information noise limits but result in either unanimity, or polarization, or randomization of opinions. Full article
(This article belongs to the Special Issue Modern Trends in Sociophysics)
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<p>Example of random initial state of the system for (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> and (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>. Various colors correspond to various opinions.</p>
Full article ">Figure 2
<p>The sketches of shapes of the neighborhoods closest to the sites (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>=</mo> <mn>9</mn> </mrow> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>=</mo> <mn>25</mn> </mrow> </semantics></math>, (<b>d</b>) <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>=</mo> <mn>49</mn> </mrow> </semantics></math> sites. The values of the <span class="html-italic">r</span> parameters indicated in the figures in the headline influence summation limits in the nominator of Equation (<a href="#FD7-entropy-25-00058" class="html-disp-formula">7</a>).</p>
Full article ">Figure 3
<p>Examples of two most probable spatial distributions of the final opinion after <math display="inline"><semantics> <msup> <mn>10</mn> <mn>3</mn> </msup> </semantics></math> time steps. <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>41</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> and various levels of noise <span class="html-italic">T</span>.</p>
Full article ">Figure 4
<p>Average number <math display="inline"><semantics> <mrow> <mo>〈</mo> <mi>????</mi> <mo>〉</mo> </mrow> </semantics></math> of opinion clusters after <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math> time steps for the exponent of the distance scaling function <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>, the number <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> of opinions available in the system, and the noise discrimination threshold <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>25</mn> </mrow> </semantics></math>. The system contains <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mo>=</mo> <msup> <mn>41</mn> <mn>2</mn> </msup> </mrow> </semantics></math> actors. The results are averaged over <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> independent system realizations.</p>
Full article ">Figure 5
<p>The average ratio (in percents) of the size of the largest cluster <math display="inline"><semantics> <mrow> <mo>〈</mo> <msub> <mi>????</mi> <mi>max</mi> </msub> <mo>〉</mo> </mrow> </semantics></math> to the size of the entire system <math display="inline"><semantics> <msup> <mi>L</mi> <mn>2</mn> </msup> </semantics></math> depending on the parameters <math display="inline"><semantics> <mi>α</mi> </semantics></math> and <span class="html-italic">T</span>. <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>41</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math>.</p>
Full article ">Figure 6
<p>The histogram of frequencies <span class="html-italic">f</span> of the number <math display="inline"><semantics> <mi mathvariant="sans-serif">Φ</mi> </semantics></math> of surviving opinions for <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> and the level of noise discrimination <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>25</mn> </mrow> </semantics></math>.</p>
Full article ">Figure 7
<p>The most probable final number <math display="inline"><semantics> <msup> <mi mathvariant="sans-serif">Φ</mi> <mo>⋆</mo> </msup> </semantics></math> of surviving opinions for various numbers <span class="html-italic">K</span> of opinions available in the system and noise discrimination thresholds <math display="inline"><semantics> <mi>θ</mi> </semantics></math> depending on the level of information noise <span class="html-italic">T</span> and the range of interaction <math display="inline"><semantics> <mi>α</mi> </semantics></math>.</p>
Full article ">Figure 7 Cont.
<p>The most probable final number <math display="inline"><semantics> <msup> <mi mathvariant="sans-serif">Φ</mi> <mo>⋆</mo> </msup> </semantics></math> of surviving opinions for various numbers <span class="html-italic">K</span> of opinions available in the system and noise discrimination thresholds <math display="inline"><semantics> <mi>θ</mi> </semantics></math> depending on the level of information noise <span class="html-italic">T</span> and the range of interaction <math display="inline"><semantics> <mi>α</mi> </semantics></math>.</p>
Full article ">Figure A1
<p>Examples of two most probable spatial distributions of the final opinion after <math display="inline"><semantics> <msup> <mn>10</mn> <mn>3</mn> </msup> </semantics></math> time steps. <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>41</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> and various levels of noise <span class="html-italic">T</span>.</p>
Full article ">Figure A2
<p>Examples of two most probable spatial distributions of the final opinion after <math display="inline"><semantics> <msup> <mn>10</mn> <mn>3</mn> </msup> </semantics></math> time steps. <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>41</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math> and various levels of noise <span class="html-italic">T</span>.</p>
Full article ">Figure A3
<p>Examples of two most probable spatial distributions of the final opinion after <math display="inline"><semantics> <msup> <mn>10</mn> <mn>3</mn> </msup> </semantics></math> time steps. <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>41</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math> and various levels of noise <span class="html-italic">T</span>.</p>
Full article ">Figure A4
<p>Examples of two most probable spatial distributions of the final opinion after <math display="inline"><semantics> <msup> <mn>10</mn> <mn>3</mn> </msup> </semantics></math> time steps. <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>41</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> and various levels of noise <span class="html-italic">T</span>.</p>
Full article ">Figure A5
<p>Examples of two most probable spatial distributions of the final opinion after <math display="inline"><semantics> <msup> <mn>10</mn> <mn>3</mn> </msup> </semantics></math> time steps. <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>41</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math> and various levels of noise <span class="html-italic">T</span>.</p>
Full article ">Figure A6
<p>Examples of two most probable spatial distributions of the final opinion after <math display="inline"><semantics> <msup> <mn>10</mn> <mn>3</mn> </msup> </semantics></math> time steps. <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>41</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> and various levels of noise <span class="html-italic">T</span>.</p>
Full article ">Figure A7
<p>Examples of two most probable spatial distributions of the final opinion after <math display="inline"><semantics> <msup> <mn>10</mn> <mn>3</mn> </msup> </semantics></math> time steps. <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>41</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math> and various levels of noise <span class="html-italic">T</span>.</p>
Full article ">Figure A8
<p>Average number <math display="inline"><semantics> <mrow> <mo>〈</mo> <mi>????</mi> <mo>〉</mo> </mrow> </semantics></math> of opinion clusters after <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math> time steps for various exponents of the distance scaling function <math display="inline"><semantics> <mi>α</mi> </semantics></math> and various numbers of available opinions <span class="html-italic">K</span> in the system. Noise discrimination threshold <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math>. The system contains <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mo>=</mo> <msup> <mn>41</mn> <mn>2</mn> </msup> </mrow> </semantics></math> actors. The results are averaged over <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> independent system realizations.</p>
Full article ">Figure A9
<p>Average number <math display="inline"><semantics> <mrow> <mo>〈</mo> <mi>????</mi> <mo>〉</mo> </mrow> </semantics></math> of opinion clusters after <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math> time steps for various exponents of the distance scaling function <math display="inline"><semantics> <mi>α</mi> </semantics></math> and various numbers of available opinions <span class="html-italic">K</span> in the system. The noise discrimination threshold <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>25</mn> </mrow> </semantics></math>. The system contains <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mo>=</mo> <msup> <mn>41</mn> <mn>2</mn> </msup> </mrow> </semantics></math> actors. The results are averaged over <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> independent system realizations.</p>
Full article ">Figure A9 Cont.
<p>Average number <math display="inline"><semantics> <mrow> <mo>〈</mo> <mi>????</mi> <mo>〉</mo> </mrow> </semantics></math> of opinion clusters after <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math> time steps for various exponents of the distance scaling function <math display="inline"><semantics> <mi>α</mi> </semantics></math> and various numbers of available opinions <span class="html-italic">K</span> in the system. The noise discrimination threshold <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>25</mn> </mrow> </semantics></math>. The system contains <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mo>=</mo> <msup> <mn>41</mn> <mn>2</mn> </msup> </mrow> </semantics></math> actors. The results are averaged over <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> independent system realizations.</p>
Full article ">Figure A10
<p>Average number <math display="inline"><semantics> <mrow> <mo>〈</mo> <mi>????</mi> <mo>〉</mo> </mrow> </semantics></math> of opinion clusters after <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math> time steps for various exponents of the distance scaling function <math display="inline"><semantics> <mi>α</mi> </semantics></math> and various numbers of available opinions <span class="html-italic">K</span> in the system. The noise discrimination threshold <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>50</mn> </mrow> </semantics></math>. The system contains <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mo>=</mo> <msup> <mn>41</mn> <mn>2</mn> </msup> </mrow> </semantics></math> actors. The results are averaged over <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> independent system realizations.</p>
Full article ">Figure A11
<p>The histograms of frequencies <span class="html-italic">f</span> of the number <math display="inline"><semantics> <mi mathvariant="sans-serif">Φ</mi> </semantics></math> of surviving opinions after <math display="inline"><semantics> <mrow> <mo>=</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math> time steps and for various values of the distance scaling function exponent <math display="inline"><semantics> <mi>α</mi> </semantics></math> and various values of the number of available opinions <span class="html-italic">K</span>. The system contains <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mo>=</mo> <msup> <mn>41</mn> <mn>2</mn> </msup> </mrow> </semantics></math> actors. The noise discrimination level <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math> and the results are averaged over <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> independent simulations.</p>
Full article ">Figure A12
<p>The histograms of frequencies <span class="html-italic">f</span> of the number <math display="inline"><semantics> <mi mathvariant="sans-serif">Φ</mi> </semantics></math> of surviving opinions after <math display="inline"><semantics> <mrow> <mo>=</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math> time steps and for various values of the distance scaling function exponent <math display="inline"><semantics> <mi>α</mi> </semantics></math> and various values of the number of available opinions <span class="html-italic">K</span>. The system contains <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mo>=</mo> <msup> <mn>41</mn> <mn>2</mn> </msup> </mrow> </semantics></math> actors. The noise discrimination level <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>25</mn> </mrow> </semantics></math> and the results are averaged over <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> independent simulations.</p>
Full article ">Figure A13
<p>The histograms of frequencies <span class="html-italic">f</span> of the number <math display="inline"><semantics> <mi mathvariant="sans-serif">Φ</mi> </semantics></math> of surviving opinions after <math display="inline"><semantics> <mrow> <mo>=</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math> time steps and for various values of the distance scaling function exponent <math display="inline"><semantics> <mi>α</mi> </semantics></math> and various values of the number of available opinions <span class="html-italic">K</span>. The system contains <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mo>=</mo> <msup> <mn>41</mn> <mn>2</mn> </msup> </mrow> </semantics></math> actors. The noise discrimination level <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>50</mn> </mrow> </semantics></math> and the results are averaged over <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> independent simulations.</p>
Full article ">
16 pages, 6156 KiB  
Article
A Fractal Approach to Nonlinear Topographical Features of Healthy and Keratoconus Corneas Pre- and Post-Operation of Intracorneal Implants
by Shima Bahramizadeh-Sajadi, Hamid Reza Katoozian, Mahtab Mehrabbeik, Alireza Baradaran-Rafii, Khosrow Jadidi and Sajad Jafari
Fractal Fract. 2022, 6(11), 688; https://doi.org/10.3390/fractalfract6110688 - 20 Nov 2022
Cited by 2 | Viewed by 1389
Abstract
Fractal dimension (FD) together with advances in imaging technologies has provided an increasing application of digital images to interpret biological phenomena. In ophthalmology, topography-based images are increasingly used in common practices of clinical settings. They provide detailed information about corneal surfaces. Few-micron alterations [...] Read more.
Fractal dimension (FD) together with advances in imaging technologies has provided an increasing application of digital images to interpret biological phenomena. In ophthalmology, topography-based images are increasingly used in common practices of clinical settings. They provide detailed information about corneal surfaces. Few-micron alterations of the corneal geometry to the elevation and curvature cause a highly multifocal surface, change the corneal optical power up to several diopters, and therefore adversely affect the individual’s vision. Keratoconus (KCN) is a corneal disease characterized by a local alteration of the corneal anatomical and mechanical features. The formation of cone-shaped regions accompanied by thinning and weakening of the cornea are the major manifestations of KCN. The implantation of tiny arc-like polymeric sections, known as intracorneal implants, is considered to be effective in restoring the corneal curvature. This study investigated the FD nature of healthy corneas (n = 7) and compared it to the corresponding values before and after intracorneal implant surgery in KCN patients (n = 7). The generalized Hurst exponent, Higuchi, and Katz FDs were computed for topography-based parameters of corneal surfaces: front elevation (ELE-front), back elevation (ELE-back), and corneal curvature (CURV). The Katz FD showed better discriminating ability for the diseased group. It could reveal a significant difference between the healthy corneas and both pre- and post-implantation topographies (p < 0.001). Moreover, the Katz dimension varied between the topographic features of KCN patients before and after the treatment (p < 0.036). We propose to describe the curvature feature of corneal topography as a “strange attractor” with a self-similar (i.e., fractal) structure according to the Katz algorithm. Full article
(This article belongs to the Section Life Science, Biophysics)
Show Figures

Figure 1

Figure 1
<p>ELE-front maps based on Pentacam-derived topometric data for the three representatives of the KCN group before (pre-op) and after (post-op) the intracorneal implantation within 8 mm diameter of the cornea (the horizontal and the vertical axis). The color-coded scale is identical in all images.</p>
Full article ">Figure 2
<p>ELE-back maps based on Pentacam-derived topometric data for three representatives of the KCN group before (pre-op) and after (post-op) the intracorneal implantation within 8 mm diameter of the corneas (the horizontal and the vertical axis). The color-coded scale is identical in all images.</p>
Full article ">Figure 3
<p>The curvature (CURV) maps based on Pentacam-derived topometric data for three representatives of the KCN group within 8 mm diameter of the corneas (the horizontal and the vertical axis). The color-coded scale is identical in all images.</p>
Full article ">Figure 4
<p>Kmax-front, Astig-front and Astig-back based on Pentacam-derived topometric data for the healthy group, and the pre- and post-operation state of the KCN patients.</p>
Full article ">Figure 4 Cont.
<p>Kmax-front, Astig-front and Astig-back based on Pentacam-derived topometric data for the healthy group, and the pre- and post-operation state of the KCN patients.</p>
Full article ">Figure 5
<p>Average values of Higuchi FD, Katz FD, and generalized Hurst exponent (left panel) along with the difference in FD values (right panel) obtained from ELE-front measures for (<b>a</b>) healthy and pre-op (<span class="html-italic">p</span>-value<sub>Higuchi</sub> = 0.710; <span class="html-italic">p</span>-value<sub>Katz</sub> = 0.620; <span class="html-italic">p</span>-value<sub>Hurst</sub> = 0.535), (<b>b</b>) healthy and post-op (<span class="html-italic">p</span>-value<sub>Higuchi</sub> = 0.007; <span class="html-italic">p</span>-value<sub>Katz</sub> = 0.017; <span class="html-italic">p</span>-value<sub>Hurst</sub> = 0.383), and (<b>c</b>) pre-op and post-op (<span class="html-italic">p</span>-value<sub>Higuchi</sub> = 0.018; <span class="html-italic">p</span>-value<sub>Katz</sub> = 0.028; <span class="html-italic">p</span>-value<sub>Hurst</sub> = 0.091) conditions.</p>
Full article ">Figure 6
<p>Average values of Higuchi FD, Katz FD, and generalized Hurst exponent (left panel) along with the difference in FD values (right panel) obtained from ELEback measures for (<b>a</b>) healthy and preop (<span class="html-italic">p</span>-value<sub>Higuchi</sub> = 0.535; <span class="html-italic">p</span>-value<sub>Katz</sub> = 0.535; <span class="html-italic">p</span>-value<sub>Hurst</sub> = 0.318), (<b>b</b>) healthy and postop (<span class="html-italic">p</span>-value<sub>Higuchi</sub> = 0.001; <span class="html-italic">p</span>-value<sub>Katz</sub> = 0.002; <span class="html-italic">p</span>-value<sub>Hurst</sub> = 0.620), and (<b>c</b>) preop and postop (<span class="html-italic">p</span>-value<sub>Higuchi</sub> = 0.018; <span class="html-italic">p</span>-value<sub>Katz</sub> = 0.018; <span class="html-italic">p</span>-value<sub>Hurst</sub> = 0.028) conditions.</p>
Full article ">Figure 7
<p>Average values of Higuchi FD, Katz FD, and generalized Hurst exponent (left panel) along with the difference in FD values (right panel) obtained from CURV measures for (<b>a</b>) healthy and pre-op (<span class="html-italic">p</span>-value<sub>Higuchi</sub> = 0.805; <span class="html-italic">p</span>-value<sub>Katz</sub> = 0.001; <span class="html-italic">p</span>-value<sub>Hurst</sub> = 0.456), (<b>b</b>) healthy and post-op (<span class="html-italic">p</span>-value<sub>Higuchi</sub> = 0.002; <span class="html-italic">p</span>-value<sub>Katz</sub> = 0.002; <span class="html-italic">p</span>-value<sub>Hurst</sub> = 0.805), and (<b>c</b>) pre-op and post-op (<span class="html-italic">p</span>-value<sub>Higuchi</sub> = 0.028; <span class="html-italic">p</span>-value<sub>Katz</sub> = 0.028; <span class="html-italic">p</span>-value<sub>Hurst</sub> = 0.128) conditions.</p>
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13 pages, 3444 KiB  
Article
Clustering Characterization of Acoustic Emission Signals Belonging to Twinning and Dislocation Slip during Plastic Deformation of Polycrystalline Sn
by László Z. Tóth, Lajos Daróczi, Tarek Y. Elrasasi and Dezső L. Beke
Materials 2022, 15(19), 6696; https://doi.org/10.3390/ma15196696 - 27 Sep 2022
Viewed by 1327
Abstract
Results of acoustic emission (AE) measurements, carried out during plastic deformation of polycrystalline Sn samples, are analyzed by the adaptive sequential k-means method. The acoustic avalanches, originating from different sources, are separated on the basis of their spectral properties, that is, sorted into [...] Read more.
Results of acoustic emission (AE) measurements, carried out during plastic deformation of polycrystalline Sn samples, are analyzed by the adaptive sequential k-means method. The acoustic avalanches, originating from different sources, are separated on the basis of their spectral properties, that is, sorted into clusters, presented both on the so-called feature space (energy-median frequency plot) and on the power spectral density (PSD) curves. We found that one cluster in every measurement belongs to background vibrations, while the remaining ones are clearly attributed to twinning as well as dislocation slips at −30 °C and 25 °C, respectively. Interestingly, fingerprints of the well-known “ringing” of AE signals are present in different weights on the PSD curves. The energy and size distributions of the avalanches, corresponding to twinning and dislocation slips, show a bit different power-law exponents from those obtained earlier by fitting all AE signals without cluster separation. The maximum-likelihood estimation of the avalanche energy (ε) and size (τ) exponents provide ε=1.57±0.05 (at −30 °C) and ε=1.35±0.1 (at 25 °C), as well as τ=1.92±0.05 (at −30 °C) and τ= 1.55±0.1 (at 25 °C). The clustering analysis provides not only a manner to eliminate the background noise, but the characteristic avalanche shapes are also different for the two mechanisms, as it is visible on the PSD curves. Thus, we have illustrated that this clustering analysis is very useful in discriminating between different AE sources and can provide more realistic estimates, for example, for the characteristic exponents as compared to the classical hit-based approach where the exponents reflect an average value, containing hits from the low-frequency mechanical vibrations of the test machine, too. Full article
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<p>Energy—median frequency feature space for the measurement at −30 °C.</p>
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<p>The average PSD functions, as the centroids of the clusters, including the number of avalanches at −30 °C.</p>
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<p>Energy vs. amplitude correlation for all clusters obtained at −30 °C. The exponent of the scaling relation is in the acceptable range only for Clusters 2 and 3 (and for a part of Cluster 1), while for Cluster 4 it is out of the predicted range (&gt;3).</p>
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<p>Energy—median frequency feature space for the measurement at 25 °C.</p>
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<p>The average PSD functions, as the centroids of the clusters, including the number of avalanches at 25 °C.</p>
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<p>Energy vs. amplitude function for all clusters obtained at 25 °C. The exponent of the scaling relation is in the acceptable range only for Clusters 5 and 7.</p>
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<p>Characteristic avalanche of Cluster 3. The ringing is the most spectacular at the selected part of the avalanches, resulting in ringing of 349 kHz frequency, as was expected from the PSD curve of Cluster 3.</p>
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<p>Characteristic avalanche of Cluster 5 at room temperature. The high-frequency ringing is visible, together with slower oscillations around 150 kHz, predicted by the PSD curve of Cluster 5 in <a href="#materials-15-06696-f005" class="html-fig">Figure 5</a>.</p>
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<p>Probability density functions of the avalanche energies for Cluster 2 (<b>a</b>) and for Cluster 5 (<b>b</b>).</p>
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<p>Probability density functions of the avalanche sizes for Cluster 2 (<b>a</b>) and for Cluster 5 (<b>b</b>).</p>
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<p>Maximum-Likelihood estimations for the energy (<b>a</b>,<b>b</b>) and size (<b>c</b>,<b>d</b>) exponents at −30 °C (<b>a</b>,<b>c</b>) as well as 25 °C (<b>b</b>,<b>d</b>). For −30 °C the corresponding exponents are given by the plateaus, while for 25 °C the exponents are approximated because of the exponential damping of the probability density functions.</p>
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11 pages, 552 KiB  
Article
Nonlinear and Linear Measures in the Differentiation of Postural Control in Patients after Total Hip or Knee Replacement and Healthy Controls
by Anna Hadamus, Michalina Błażkiewicz, Aleksandra J. Kowalska, Kamil T. Wydra, Marta Grabowicz, Małgorzata Łukowicz, Dariusz Białoszewski and Wojciech Marczyński
Diagnostics 2022, 12(7), 1595; https://doi.org/10.3390/diagnostics12071595 - 30 Jun 2022
Cited by 11 | Viewed by 1847
Abstract
Primary osteoarthritis treatments such as a total hip (THR) or knee (TKR) replacement lead to postural control changes reinforced by age. Balance tests such as standing with eyes open (EO) or closed (EC) give a possibility to calculate both linear and nonlinear indicators. [...] Read more.
Primary osteoarthritis treatments such as a total hip (THR) or knee (TKR) replacement lead to postural control changes reinforced by age. Balance tests such as standing with eyes open (EO) or closed (EC) give a possibility to calculate both linear and nonlinear indicators. This study aimed to find the group of linear and/or nonlinear measures that can differentiate healthy people and patients with TKR or THR from each other. This study enrolled 49 THR patients, 53 TKR patients, and 16 healthy controls. The center of pressure (CoP) path length, sample entropy (SampEn), fractal dimension (FD), and the largest Lyapunov exponent (LyE) were calculated separately for AP and ML directions from standing with EO/EC. Cluster analysis did not result in correct allocation to the groups according to all variables. The discriminant model included LyE (ML-EO, ML-EC, AP-EC), FD (AP-EO, ML-EC, AP-EC), CoP-path AP-EC, and SampEn AP-EC. Regression analysis showed that all nonlinear variables depend on the group. The CoP path length is different only in THR patients. It was concluded that standing with EC is a better way to assess the amount of regularity of CoP movement and attention paid to maintain balance. Nonlinear measures better differentiate TKR and THR patients from healthy controls. Full article
(This article belongs to the Special Issue The Use of Motion Analysis for Diagnostics)
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<p>The tree graph from cluster analysis. The <span class="html-italic">x</span>-axis presents distance, while the <span class="html-italic">y</span>-axis includes participants of the study.</p>
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16 pages, 22156 KiB  
Article
FGFF Descriptor and Modified Hu Moment-Based Hand Gesture Recognition
by Beiwei Zhang, Yudong Zhang, Jinliang Liu and Bin Wang
Sensors 2021, 21(19), 6525; https://doi.org/10.3390/s21196525 - 29 Sep 2021
Cited by 4 | Viewed by 4937
Abstract
Gesture recognition has been studied for decades and still remains an open problem. One important reason is that the features representing those gestures are not sufficient, which may lead to poor performance and weak robustness. Therefore, this work aims at a comprehensive and [...] Read more.
Gesture recognition has been studied for decades and still remains an open problem. One important reason is that the features representing those gestures are not sufficient, which may lead to poor performance and weak robustness. Therefore, this work aims at a comprehensive and discriminative feature for hand gesture recognition. Here, a distinctive Fingertip Gradient orientation with Finger Fourier (FGFF) descriptor and modified Hu moments are suggested on the platform of a Kinect sensor. Firstly, two algorithms are designed to extract the fingertip-emphasized features, including palm center, fingertips, and their gradient orientations, followed by the finger-emphasized Fourier descriptor to construct the FGFF descriptors. Then, the modified Hu moment invariants with much lower exponents are discussed to encode contour-emphasized structure in the hand region. Finally, a weighted AdaBoost classifier is built based on finger-earth mover’s distance and SVM models to realize the hand gesture recognition. Extensive experiments on a ten-gesture dataset were carried out and compared the proposed algorithm with three benchmark methods to validate its performance. Encouraging results were obtained considering recognition accuracy and efficiency. Full article
(This article belongs to the Topic Artificial Intelligence in Sensors)
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<p>The flowchart of the hand segmentation and finger extraction.</p>
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<p>Different effects of the good and bad threshold values in segmentation: (<b>a</b>) gives the depth image while (<b>b</b>–<b>d</b>) show different segmentation results using different threshold values.</p>
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<p>The depth image (<b>left</b>) and extracted elements (<b>right</b>): palm center with a higher quality denoted by RED point versus central moment of the hand by BLACK cross where the red and blue circles, respectively, represent inscribed and averaging circles.</p>
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<p>The fingers and distribution of FF descriptor vs. frequencies.</p>
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<p>The predefined hand gestures for numbers from zero to nine.</p>
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<p>One group of depth images and segmented hand region: the depth images given in the first and third rows with corresponding hand in the second and fourth rows.</p>
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<p>The gestures with their scale and rotation transformations.</p>
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<p>Distributions of the Hu moments via different transformations, in which the elements of a1–a6 are computed by the Formula (9): (<b>a</b>,<b>b</b>) respectively present the values of Hu moments for gestures of Two and Four.</p>
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<p>Nine samples from three different types of gestures and extracted hand regions.</p>
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<p>Larger interdistances and smaller intradistances among hand gestures.</p>
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<p>Digital gesture recognition confusion matrix.</p>
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11 pages, 7154 KiB  
Communication
Measuring Gait Stability in People with Multiple Sclerosis Using Different Sensor Locations and Time Scales
by Roy Müller, Lucas Schreff, Lisa-Eyleen Koch, Patrick Oschmann and Daniel Hamacher
Sensors 2021, 21(12), 4001; https://doi.org/10.3390/s21124001 - 10 Jun 2021
Cited by 9 | Viewed by 3785
Abstract
The evaluation of local divergence exponent (LDE) has been proposed as a common gait stability measure in people with multiple sclerosis (PwMS). However, differences in methods of determining LDE may lead to different results. Therefore, the purpose of the current study was to [...] Read more.
The evaluation of local divergence exponent (LDE) has been proposed as a common gait stability measure in people with multiple sclerosis (PwMS). However, differences in methods of determining LDE may lead to different results. Therefore, the purpose of the current study was to determine the effect of different sensor locations and LDE measures on the sensitivity to discriminate PwMS. To accomplish this, 86 PwMS and 30 healthy participants were instructed to complete a six-minute walk wearing inertial sensors attached to the foot, trunk and lumbar spine. Due to possible fatigue effects, the LDE short (~50% of stride) and very short (~5% of stride) were calculated for the remaining first, middle and last 30 strides. The effect of group (PwMS vs. healthy participants) and time (begin, mid, end) and the effect of Expanded Disability Status Scale (EDSS) and time were assessed with linear random intercepts models. We found that perturbations seem to be better compensated in healthy participants on a longer time scale based on trunk movements and on a shorter time scale (almost instantaneously) according to the foot kinematics. Therefore, we suggest to consider both sensor location and time scale of LDE when calculating local gait stability in PwMS. Full article
(This article belongs to the Special Issue Inertial Sensors for Clinically Relevant Mobility Outcome Measures)
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<p>Experimental setup. Both PwMS and healthy participants had to complete a walking test that required them to cover a distance of 25 feet (7.62 m) repeatedly throughout a maximal assessment period of six minutes. Wearable inertial sensors were attached to the forefoot of participants’ dominant foot (foot), and with an elastic belt to the right scapula (trunk) and lumbar spine (at L5 to approximate body center of mass).</p>
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<p>Changes of LDE short over different levels of EDSS, calculated for the remaining first 30 (begin), middle 30 (mid) and last 30 strides (end) during a 6-min 25-ft walk and separated for the foot, lumbar spine (L5), and trunk sensor.</p>
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<p>Changes of LDE very short over different levels of EDSS, calculated for the remaining first 30 (begin), middle 30 (mid) and last 30 strides (end) during a 6-min 25-ft walk and separated for the foot, lumbar spine (L5), and trunk sensor.</p>
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17 pages, 1194 KiB  
Article
Ability of a Set of Trunk Inertial Indexes of Gait to Identify Gait Instability and Recurrent Fallers in Parkinson’s Disease
by Stefano Filippo Castiglia, Antonella Tatarelli, Dante Trabassi, Roberto De Icco, Valentina Grillo, Alberto Ranavolo, Tiwana Varrecchia, Fabrizio Magnifica, Davide Di Lenola, Gianluca Coppola, Donatella Ferrari, Alessandro Denaro, Cristina Tassorelli and Mariano Serrao
Sensors 2021, 21(10), 3449; https://doi.org/10.3390/s21103449 - 15 May 2021
Cited by 22 | Viewed by 3779
Abstract
The aims of this study were to assess the ability of 16 gait indices to identify gait instability and recurrent fallers in persons with Parkinson’s disease (pwPD), regardless of age and gait speed, and to investigate their correlation with clinical and kinematic variables. [...] Read more.
The aims of this study were to assess the ability of 16 gait indices to identify gait instability and recurrent fallers in persons with Parkinson’s disease (pwPD), regardless of age and gait speed, and to investigate their correlation with clinical and kinematic variables. The trunk acceleration patterns were acquired during the gait of 55 pwPD and 55 age-and-speed matched healthy subjects using an inertial measurement unit. We calculated the harmonic ratios (HR), percent recurrence, and percent determinism (RQAdet), coefficient of variation, normalized jerk score, and the largest Lyapunov exponent for each participant. A value of ?1.50 for the HR in the antero-posterior direction discriminated between pwPD at Hoehn and Yahr (HY) stage 3 and healthy subjects with a 67% probability, between pwPD at HY 3 and pwPD at lower HY stages with a 73% probability, and it characterized recurrent fallers with a 77% probability. Additionally, HR in the antero-posterior direction was correlated with pelvic obliquity and rotation. RQAdet in the antero-posterior direction discriminated between pwPD and healthy subjects with 67% probability, regardless of the HY stage, and was correlated with stride duration and cadence. Therefore, HR and RQAdet in the antero-posterior direction can both be used as age- and-speed-independent markers of gait instability. Full article
(This article belongs to the Special Issue Feature Papers in Wearables Section 2021)
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<p>Graphical representation of the accelerations-derived gait indexes of a representative healthy subject: (<b>a</b>) amplitudes of the filtered acceleration signals in the antero-posterior (AP), medio-lateral (ML), and vertical (V) direction as a function of the time range data; (<b>b</b>) Harmonic Ratio values for each of the 20 considered strides; (<b>c</b>) 2D-reconstructed state space of the acceleration and its time-delayed copies (time delay of 12 data samples). The distance (<b><span class="html-italic">d</span></b>) of two neighboring trajectories at a one-time sample, which is needed to calculate the Lyapunov exponent, is highlighted; (<b>d</b>) representation of the jerks during the whole gait cycle; (<b>e</b>) recurrence matrix. Based on the percent of the recurrent points in the diagonal line structure parallel to the main diagonal (i.e., the blue circled points), the RQAdet was calculated.</p>
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<p>(<b>a</b>) Graphical representation of the Harmonic Ratios in the antero-posterior, medio-lateral, and vertical directions of a representative age-and-speed-matched healthy subject (blue) and a subject with PD at Hoehn and Yahr stage = 3 (red); (<b>b</b>) recurrence matrices in the antero-posterior direction of the same representative subjects.</p>
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<p>ROC curves for the HRs in identifying pwPD vs. HSmatched, pwPD at HY = 3 from milder HY and recurrent fallers. The red line represents the HR<sub>AP</sub>, the blue line the HR<sub>ML</sub>, and the green line the HR<sub>V</sub>.</p>
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<p>ROC curves of the CV (<b>a</b>) and RQAdetAP (<b>b</b>) in discriminating pwPD from HS<sub>matched.</sub></p>
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