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  1. 1901
    por Cayron, Cyril
    Publicado 2007
    “…Multiple twinning in cubic crystals is represented geometrically by a three-dimensional fractal and algebraically by a groupoid. In this groupoid, the variant crystals are the objects, the misorientations between the variants are the operations, and the Σ3(n) operators are the different types of operations (expressed by sets of equivalent operations). …”
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    Multiple twinning in cubic crystals: geometric/algebraic study and its application for the identification of the Σ3(n) grain boundaries
  2. 1902
    “…All soots were observed utilizing TEM and FESEM to be composed of aggregated, primary spherules (20–80 nm diameter) forming complex, branched fractal structures. These spherules were composed of intercalated, turbostratic arrangements of curved graphene fragments with varying concentrations of polycyclic aromatic hydrocarbon (PAH) isomers. …”
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    Cytotoxicity and reactive oxygen species generation from aggregated carbon and carbonaceous nanoparticulate materials
  3. 1903
    “…In this paper, we discuss the conclusions drawn from previous analyses of COP dynamics using fractal-related methods. On the basis of some methodological clarification and the analysis of experimental data using stabilogram diffusion analysis, detrended fluctuation analysis, and an improved version of spectral analysis, we show that COP velocity is typically bounded between upper and lower limits. …”
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    Transition from Persistent to Anti-Persistent Correlations in Postural Sway Indicates Velocity-Based Control
  4. 1904
    “…Results were compared with the predictions of a simple analytical model of a macromolecule end-grafted to a fractal surface. [Figure: see text] ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1007/s00894-012-1546-5) contains supplementary material, which is available to authorized users.…”
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    Conformational entropy of a polymer chain grafted to rough surfaces
  5. 1905
    “…Here we use this growth law to obtain a metabolic scaling law for solid tumours, which is obeyed by tumours of different histotypes both in vitro and in vivo, and we display its relation with the fractal dimension of the distribution of live cells in the tumour mass. …”
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    Metabolic scaling in solid tumours
  6. 1906
    “…Echo signals from cracks with different depths and orientations were collected by a phased array ultrasonic transducer, and the feature vectors were extracted by wavelet packet, fractal technology and peak amplitude methods. The radial basis function (RBF) neural network was investigated and used in this application. …”
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    Crack Orientation and Depth Estimation in a Low-Pressure Turbine Disc Using a Phased Array Ultrasonic Transducer and an Artificial Neural Network
  7. 1907
    “…In particular, emphasis is given to techniques enhancing the scale invariance of multi-scale and multi-orientation wavelet transforms and methods based on fractal analysis. After fine-tuning to specific properties of our celiac disease imagery database, which consists of endoscopic images of the duodenum, some scale invariant (and often even viewpoint invariant) methods provide classification results improving the current state of the art. …”
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    Scale invariant texture descriptors for classifying celiac disease
  8. 1908
    “…We argue that – contrary to widespread opinion – friction between a randomly rough self-affine fractal surface and an elastomer is not a multiscale phenomenon, but is governed mostly by the interplay of only two scales – as a rule the largest and the smallest scales of roughness of the contacting bodies. …”
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    On the role of scales in contact mechanics and friction between elastomers and randomly rough self-affine surfaces
  9. 1909
    “…Our analysis is based on a stochastic urban fractal model, which mimics urban growing settlements and migration waves. …”
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    Urban Transfer Entropy across Scales
  10. 1910
    “…Different methods provide evidence for obstructed subdiffusion and diffusion on a fractal space, but the underlying structure inducing anomalous diffusion has never been visualized because of experimental challenges. …”
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    Plasma Membrane is Compartmentalized by a Self-Similar Cortical Actin Meshwork
  11. 1911
    por Radu, Dobrescu, Victor, Purcărea
    Publicado 2009
    “…The accuracy of this model is tested by comparing it to a fractal morphometric technique of two patterns, one of them obtained by simulation, the other developed in vitro. …”
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    Network based models for biological applications
  12. 1912
    “…Within these categories, symmetry breaking is examined for relevant cancer features, including epithelial-mesenchymal transition (EMT); tumor heterogeneity; tensegrity; fractal geometric and information structure; functional interaction networks; and network stabilizability and attack tolerance. …”
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    Symmetry and symmetry breaking in cancer: a foundational approach to the cancer problem
  13. 1913
    por Torrens, Francisco
    Publicado 2003
    “…Linear and non-linear correlations between the fractal dimension and various descriptors point not only to a homogeneous molecular structure but also to the ability to predict and tailor drug properties.…”
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    Valence Topological Charge-Transfer Indices for Dipole Moments
  14. 1914
    “…We fabricated some 3D structures, i.e., fractal structures, spiral structures, and a channel-in-channel structure, in microfluidic channels and demonstrated 3D microfluidics. …”
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    Three-Dimensional Fabrication for Microfluidics by Conventional Techniques and Equipment Used in Mass Production
  15. 1915
    “…Dendrimers are monodisperse polymers grown in a fractal manner from a central point. They are poised to become the cornerstone of nanoscale devices in several fields, ranging from biomedicine to light-harvesting. …”
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    Recent Advances in Click Chemistry Applied to Dendrimer Synthesis
  16. 1916
    por Moraru, Manuela, Schalch, Thomas
    Publicado 2019
    “…Instead, it appears that folding at a larger scale than the nucleosome involves a variety of random structures with fractal characteristics. Nevertheless, recent progress provides evidence for the existence of structural motifs in chromatin fibers, potentially localized to strategic sites in the genome. …”
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    Chromatin fiber structural motifs as regulatory hubs of genome function?
  17. 1917
    por Szeląg, Maciej
    Publicado 2020
    “…Among other things, the fractal analysis was used to describe the morphology and the thermal evolution of the cracking patterns. …”
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    Application of an Automated Digital Image-Processing Method for Quantitative Assessment of Cracking Patterns in a Lime Cement Matrix
  18. 1918
    “…The evolution of shear strength with solid volume fraction is best explained by a fractal model of the paste structure.…”
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    Mechanisms of Phase Transformation and Creating Mechanical Strength in a Sustainable Calcium Carbonate Cement
  19. 1919
    por Dunbar, R. I. M.
    Publicado 2020
    “…In addition, human social networks have a very distinct fractal structure similar to that observed in other primates. …”
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    Structure and function in human and primate social networks: implications for diffusion, network stability and health
  20. 1920
    por Cushman, Samuel A.
    Publicado 2018
    “…The special issue contains six articles, which cover a broad range of topics including relationships between entropy and evolution, connections between fractal geometry and entropy, new approaches to calculate configurational entropy of landscapes, example analyses of computing entropy of landscapes, and using entropy in the context of optimal landscape planning. …”
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    Editorial: Entropy in Landscape Ecology
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