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105 results for “Fractal”
Fractal analysis of muscle activity patterns during locomotion: pitfalls and how to avoid them
<p>Despite the lack of consensus on how to perform fractal analysis of physiological time series, many studies rely on this technique. Here, we shed light on the potential pitfalls of using the Higuchi’s fractal dimension (HFD) and the Hurst exponent (H). We expose and suggest how to solve the drawbacks of such methods when applied to data from normal and perturbed locomotion by combining <em>in vivo</em> recordings and computational approaches.</p> <p>In this supplementary data set we made available: a) the metadata file “metadata.dat”; b) the baseline signals file “baseline_data.RData”; c) the R script “fractal_analysis.R” to calculate the H and HFD of the baseline data and produce the log-log plots. Explanatory comments are profusely present throughout the script and in the metadata file.</p>
Fractal Farmhouse II. [幽玄]
A first attempt to scan a whole house inside-out. Source: Objaverse 1.0 / Sketchfab
The fractal nature of the three-phase boundary: A heuristic approach to the degradation of nanostructured solid oxide fuel cell anodes
<p>Data underpinning figures and analysis as well as a greyscale tomographic dataset</p>
Data from: Fractal characteristics of shale pore structure and its influence on seepage flow
<p>The migration law of shale gas has a significant influence on the seepage characteristics of shale, and the flow of the gas is closely related to the pore structure. To explore the influence of shale pore parameters on permeability in different diffusion zones, the pore structure of the shale in the Niutitang Formation in Guizhou, China, was analyzed based on liquid nitrogen adsorption experiments and nuclear magnetic resonance experiments. The relationship among fractal dimension, organic carbon content (TOC), and BET specific surface area was analyzed based on the fractal dimension of shale pores calculated using the Frenkel‒Halsey‒Hill model. Shale permeability was calculated using the Knudsen number and permeability equation, and the influence of the fractal dimension and porosity in different diffusion zones on shale permeability was analyzed. Previous studies have shown that: (1) the pores of shale in the Niutitang Formation, Guizhou are mainly distributed within 1‒100 nm, with a small total pore volume per unit mass, average pore diameter, large BET specific surface area, and porosity; (2) fractal dimension has a negative correlation with average pore diameter and TOC content and a quadratic relationship with BET specific surface area; (3) permeability has a positive correlation with Kn, porosity, and fractal dimension. In the transitional diffusion zone, fractal dimension and porosity have a significant impact on permeability. In the Knudsen diffusion zone, porosity has no obvious effect on permeability. The methodologies and results presented will enable more accurate characterization of the complexity of pore structures of porous media, and allow further understanding of the seepage law of shale gas.</p>
Data from: Validity, applicability and universality of fractal scaling laws for natural lakes
<p><span>We conducted a systematic investigation on the validity, applicability and universality of the fractal scaling relationships for natural lakes within China. Hydro-climatic zones from the Hydrological regionalization of China were taken as the statistical units for all the analyses. Lake size and hydrological parameters used in the analyses are from the HydroLAKES database. To test the validity of the fractal scaling relationships between lake properties, power law functions were fitted to these properties. To examine the effects of topographical relief on the power law size distribution, regional degree of topographical relief was calculated for each zone based on ASTER GDEM2. To explore the potential impacts of human activities on the applicability of power law size distribution, Human modification index data was jointly analyzed with the power law distribution of lake size.</span></p>
Precessional dynamics of geometrically scaled magnetostatic spin waves in two-dimensional magnonic fractals
<p>Open data for "Precessional dynamics of geometrically scaled magnetostatic spin waves in two-dimensional magnonic fractals" published in PRB <strong>105</strong>, 174415 (2022)</p>
Fractal Dimension Complexity of Gravitation Fractals in Central Place Theory
<p>The datasets used in our paper.</p> <p> </p> <p> </p>
Frequency-dependent P-wave anelasticity due to multiscale (fractal) heterogeneities in rocks
<p>These data are the compressional-wave waveform data through ultrasonic experimental measurements on the rock samples, the sonic log data and the seismic data. Details are given in the uploaded introduction document regarding the format of the data.</p>
Fractal OME-Zarr Test data for napari-ome-zarr-navigator
<p>Test OME-Zarr data for https://github.com/fractal-analytics-platform/napari-ome-zarr-navigator</p> <p> </p> <p>Contains a 2 HCS OME-Zarrs (2D & 3D) with 2 wells (B03, B05), each with 2 FOVs and the following AnnData tables for each well:</p> <ol> <li>Condition table</li> <li>Feature measurement table</li> <li>2 ROI tables</li> </ol>
Seismic wave propagation in partially saturated rocks with a fractal distribution of fluid-patch size
<p>Laboratory experiments on partially saturated rocks show that seismic attenuation can be significant, where the main mechanism is wave-induced local fluid flow (WILFF) due to patchy saturation at different spatial scales. We propose a theory to obtain the seismic properties of partially saturated rocks based on fractal (self-similar) patches, leading to an effective frequency-dependent fluid modulus. The model combines the differential effective medium (DEM) and Biot-Rayleigh theories, where the patches are inclusions incrementally added, such that the effective fluid is assumed the host for the next addition. The analysis shows that the seismic properties are independent on the number of iterations, but depend on the scale range (radius) of the inclusions, fractal dimension <em>D<sub>f</sub></em> of the self-similar distribution, parameter <span class="math-tex">\(\theta\)</span> of the exponential distribution, mean radius <em>r</em><sub>0</sub> and variance <span class="math-tex">\({\sigma_r}^2\)</span> of the Gaussian distribution. Forced-oscillation experiments are performed on a limestone sample under partial water-saturation conditions at seismic frequencies (2-500 Hz), to obtain the velocity dispersion and extensional attenuation. The proposed theory provides a reasonable description of the experimental data and other existing measurements on Berea sandstone and tight carbonates.</p>
Data from: Can fractal dimensions objectivize gastropod shell morphometrics? A case study from Lake Lugu (SW China)
<p>Morphometrics are fundamental for statistical analyses of fossils, particularly because soft parts or DNA are rarely preserved and thus hard parts such as shells are commonly the only source of information. Geometric morphometrics i.e. landmark analysis has been successfully established but exhibits a couple of shortcomings. On the one hand landmarking is rather subjective and on the other hand the application at the level of micro-sculpture is difficult.</p> <p>With the aid of high-resolution 3D scanning technology and analyses of fractal dimensions, we test whether shortcomings of linear and geometric morphometrics can be overcome. As a model group, we selected a clade of modern viviparid gastropods from Lake Lugu, the shells of which show a high degree of sculptural variation. Linear and landmark analyses were applied to the same shells, in order to root the fractal dimensions. The genetic diversity of the gastropod clade was basically assessed.</p> <p>The genetic results suggest that the gastropod clade represents a single species. The results of all morphometric methods applied are in line with the genetic results, which is that no clustering of morpho-types occurs. Apart from this overall agreement, landmark and fractal dimension analyses do not correspond with each other but represent data sets with different information. Generally, the fractal dimension values quantify the roughness of the shell surface, the resolution of the 3D-scans determining the level. In our approach, we captured the micro-sculpture but not the first-order sculptural elements, which explains that fractal dimension and landmark data are not in phase.</p> <p>We can show that analyzing fractal dimensions of gastropod shells opens a window to more detailed information that can be considered in evolutionary and ecological contexts. We propose that using 3D-scans with a low resolution may successfully substitute landmark analyses because it overcomes the subjective landmarking. Analyses of 3D-scans with higher resolution than used in this study will provide surface roughness information at the mineralogical level. We suggest that fractal dimension analyses of a combination of differently resolved 3D-models will significantly improve the quality of shell morphometrics.</p>
Fractal vs Isochronous Cueing in Athletes After ACL Reconstruction
ClinicalTrials.gov study NCT07243535. IPD Sharing: YES. Countries: 1. Publications: 5.
The Effects of Fractal Mindfulness Virtual Reality on Menopause Symptoms
ClinicalTrials.gov study NCT07044284. IPD Sharing: NO. Countries: 1. Publications: 7.
Data from: Fractal characteristics of shale pore structure and its influence on seepage flow
Open the record for dataset details and reuse information.
Common power laws for cities and spatial fractal structures
Open the record for dataset details and reuse information.
Data from: Can fractal dimensions objectivize gastropod shell morphometrics? A case study from Lake Lugu (SW China)
Open the record for dataset details and reuse information.
Data from: Validity, applicability and universality of fractal scaling laws for natural lakes
Open the record for dataset details and reuse information.
Data from: Species richness, endemism, and abundance patterns: tests of two fractal models in a serpentine grassland
Open the record for dataset details and reuse information.
Snow depth fractal behavior at the Izas experimental catchment from 2011 to 2017
<p>All the files included here contain the data produced for the manuscript "Inter-annual and seasonal variability of snow depth scaling behavior in a sub-alpine catchment", submitted for possible publication in Water Resources Research. The raw data used to generate the figures for the manuscript can be found below:</p> <p>Revuelto, J., Azorin-Molina, C., Alonso-González, E., Sanmiguel- Vallelado, A., Navarro-Serrano, F., Rico, I., and López- Moreno, J. I.: Observations of snowpack distribution and meteorological variables at the Izas Experimental Catchment (Spanish Pyrenees) from 2011 to 2017 [Data set], Zenodo, https://doi.org/10.5281/zenodo.848277, 2017.</p> <p>The following data files and scripts were used to produce results for the Izas experimental catchment:</p> <p>Variogram_YYYYMMDD_SD_ext.rsav: Omnidirectional variogram for snow depth map obtained from Lidar scan acquired on YYYY-MM-DD.</p> <p>Variogram_YYYYMMDD_SD_directional_ext.rsav: Directional variogram for snow depth map obtained from Lidar scan acquired on YYYY-MM-DD.</p> <p>Variogram_DEM_Izas1m_ext.rsav: Omnidirectional variogram for bare earth topography.</p> <p>Variogram_DEM_Izas1m_directional_ext.rsav: Directional variogram for bare earth topography (needs to be loaded in R, as any other .rsav file).</p> <p>VarAnalysis_Omnidirectional_Izas.R: Script used to analyze omnidirectional variograms and plot results.</p> <p>VarAnalysis_Directional_Izas.R: Script used to analyze directional variograms and plot results.</p> <p>Variogram_Omnidirectional_Izas.R: Script used to generate directional variograms and save data.</p> <p>Variogram_Directional_Izas.R: Script used to generate directional variograms and save data.</p>
Digital Cores and Fractal Dimensions
<p>This is a supplementary data sets for a manuscript submitted to JGR: Solid Earth entitled "A Fractal Reference Model Based on 3D Process-Based Digital Core for Evaluating the Complexity of Rock Pore Structure". This data sets present the digital core construction and fractal dimension calculation in detail, including process-based modeling program, CT digital core data, fractal dimension calculation program and analysis statistics worksheet.</p>
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Allen Brain Atlas
Allen Brain Atlas is an Allen Institute collection of brain map atlases, datasets, APIs, and analysis tools covering mouse, human, and non-human primate brain resources.
Annotated Behaviour and Observability Dataset (ABODe)
ABODe is a University of Edinburgh DataShare dataset for behavior classification in group-housed mice using home-cage video, identities, bounding boxes, ground-plate positions, and annotator labels.
DANDI Archive for NWB datasets
DANDI is a BRAIN Initiative archive for publishing and sharing neurophysiology data, including electrophysiology, optophysiology, and behavioral data packaged as NWB and related standards.
International Brain Laboratory public data
The International Brain Laboratory public data releases expose standardized mouse decision-making experiments, including Neuropixels recordings, widefield calcium imaging, behavior, and session metadata accessed through the ONE API.
OpenNeuro
OpenNeuro is a free, open platform for sharing neuroimaging datasets, with public search, dataset pages, and download paths for web, S3, DataLad, and the OpenNeuro CLI.