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  1. 2221
    “…Despite these alterations, the 3-D quantitative analysis of the branching patterns showed no significant changes of the 77 ± 8° branch angle, whereas the branch segment length strongly increased with large fluctuations, comparing to control. The 3-D fractal dimension of the PCs decreased from 1.723 to 1.254, indicating a significant reduction of dendritic complexity. …”
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    Altered branching patterns of Purkinje cells in mouse model for cortical development disorder
  2. 2222
    “…The prognostic power of various measures, except of those reflecting rapid R–R interval oscillations, has been almost identical, albeit some non-linear HR variability measures, such as short-term fractal scaling exponent, and HR turbulence, have provided somewhat better prognostic information than the others. …”
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    Clinical Application of Heart Rate Variability after Acute Myocardial Infarction
  3. 2223
    “…The Poisson’s ratio and fractal dimensionality are also found to vary linearly with the Bi(2)O(3) concentration.…”
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    Preparation and Elastic Moduli of Germanate Glass Containing Lead and Bismuth
  4. 2224
    por Fang, Wei-Ta, Chou, Jui-Yu, Lu, Shiau-Yun
    Publicado 2014
    “…However, a large perimeter is closely associated with circular shapes (lower value of the mean pond-patch fractal dimension [MPFD]), which characterize the majority of newly created ponds. …”
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    Simple Patchy-Based Simulators Used to Explore Pondscape Systematic Dynamics
  5. 2225
    “…The risk probability of snail habitats positively correlated with patch fractal dimension (FD), paddy farm land proportion, and wetness index but inversely correlated with categorized normalized difference vegetation index (NDVI) and elevation. …”
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    Identifying Determinants of Oncomelania hupensis Habitats and Assessing the Effects of Environmental Control Strategies in the Plain Regions with the Waterway Network of China at the Microscale
  6. 2226
    por Phillips, J. C.
    Publicado 2014
    “…Quantitative sequential analysis is most effective with the fractal differential hydropathicity scale based on protein self-organized criticality (SOC). …”
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    Punctuated Evolution of Influenza Virus Neuraminidase (A/H1N1) under Opposing Migration and Vaccination Pressures
  7. 2227
    “…By exposing breast cancer MDA-MB-231 cells to simulated microgravity (~0.001 g), we observed the emergence of two morphological phenotypes, characterized by distinct membrane fractal values, surface area, and roundness. Moreover, the two phenotypes display different aggregation profiles and adherent behavior on the substrate. …”
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    Phenotypic Switch Induced by Simulated Microgravity on MDA-MB-231 Breast Cancer Cells
  8. 2228
    “…Going beyond the current trend of statistical model fitting alone, our study analyses anomalous diffusion and structure functions to estimate values of the scaling exponents describing displacement statistics. We evince the fractal nature of the movement patterns and show how the scaling exponents describing termite space exploration intriguingly comply with mathematical relations found in the physics of transport phenomena. …”
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    Lévy Flights and Self-Similar Exploratory Behaviour of Termite Workers: Beyond Model Fitting
  9. 2229
    “…The mouse renal collecting duct develops by growth and repeated branching of an initially unbranched ureteric bud: this mechanism initially produces an almost fractal form with young branches connected to the centre of the kidney via a sequence of nodes (branch points) distributed widely throughout the developing organ. …”
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    Node retraction during patterning of the urinary collecting duct system
  10. 2230
    por Aon, Miguel A., Cortassa, Sonia
    Publicado 2015
    “…The self-organizing capability of the cytoskeleton can orchestrate metabolic fluxes through entire pathways while its fractal organization can frame the scaling of activities in several levels of organization. …”
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    Function of metabolic and organelle networks in crowded and organized media
  11. 2231
    “…RESULTS: Linear discriminant analysis and fractal dimension may allow data from a single tilt to be used to adequately characterize the vestibular system. …”
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    A new diagnostic vestibular evoked response
  12. 2232
    “…Natural cooperative systems take many forms, ranging from one-dimensional cyanobacteria arrays to fractal-like biofilms. We use in silico experimental systems to study a previously overlooked factor in the evolution of cooperation, physical shape of the population. …”
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    Shape matters: Lifecycle of cooperative patches promotes cooperation in bulky populations
  13. 2233
    por Gao, Jianbo, Hu, Jing, Liu, Feiyan, Cao, Yinhe
    Publicado 2015
    “…To overcome this limitation, and more importantly, to guide more fruitful applications of MSE in various areas of life sciences, we derive a fundamental bi-scaling law for fractal time series, one for the scale in phase space, the other for the block size used for smoothing. …”
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    Multiscale entropy analysis of biological signals: a fundamental bi-scaling law
  14. 2234
    “…The large hyperbranched structure of Fe(4)(OH)(3)(PO(4))(3) with a size of ∼19 μm forms with the “fractal growth rule” and shows many branches. More importantly, the magnetic properties of these materials are directly correlated to their size and micro/nanostructure morphology. …”
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    Ferric Phosphate Hydroxide Microstructures Affect Their Magnetic Properties
  15. 2235
    “…In addition, we consider the structure of isopod taxonomic system under the fractal perspective that has been proposed as a measure of a taxon’s diversification. …”
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    Patterns of taxonomic diversity among terrestrial isopods
  16. 2236
    “…In morphological discrimination, the fractal dimension method is applied to differentiate between normal and abnormal tissues. …”
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    Biopsy Diagnosis of Oral Carcinoma by the Combination of Morphological and Spectral Methods Based on Embedded Relay Lens Microscopic Hyperspectral Imaging System
  17. 2237
    “…In particular, inspired by the definition of the fractal correlation dimension D(2) on a point-set, we consider the hop-count r to be the underlying distance metric between two vertices of the network, and we examine the scaling of C(r) with r. …”
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    Power-Hop: A Pervasive Observation for Real Complex Networks
  18. 2238
    “…Percolation transition produces porous nanocarbon with fractal geometry, which consists of mostly sp(2) carbons with pentagonal and heptagonal defects. …”
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    Nanocarbon synthesis by high-temperature oxidation of nanoparticles
  19. 2239
    por Rudoy, Andrey, Ribera, Ignacio
    Publicado 2016
    “…We reconstructed ancestral values of complexity (perimeter and fractal dimension of the aedeagus) and genital and body size with Bayesian methods. …”
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    The macroevolution of size and complexity in insect male genitalia
  20. 2240
    “…Classic morphometric and fractal analysis of sixteen 3D images (eight for benign melanoma and eight for malignant) showed a capability of pathology of melanoma: melanin density and size become larger during the melanoma growth, and the melanin distribution also becomes more chaotic and unregulated. …”
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    Noninvasive, label-free, three-dimensional imaging of melanoma with confocal photothermal microscopy: Differentiate malignant melanoma from benign tumor tissue
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