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  1. 1181
    por Fuss, Franz Konstantin
    Publicado 2013
    “…Standard methods for computing the fractal dimensions of time series are usually tested with continuous nowhere differentiable functions, but not benchmarked with actual signals. …”
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    A Robust Algorithm for Optimisation and Customisation of Fractal Dimensions of Time Series Modified by Nonlinearly Scaling Their Time Derivatives: Mathematical Theory and Practical Applications
  2. 1182
    “…RESULTS: This study shows that the intrapartum FHR is characterized by fractal temporal dynamics and promotes the Hurst parameter as a potential marker of fetal acidosis. …”
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    Fractal Analysis and Hurst Parameter for Intrapartum Fetal Heart Rate Variability Analysis: A Versatile Alternative to Frequency Bands and LF/HF Ratio
  3. 1183
    “…In this work, we mainly investigate spontaneous imbibition considering dynamic contact angle and slip effect in fractal tortuous capillaries. We introduce phase portrait analysis to analyse the dynamic state and stability of imbibition. …”
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    Spontaneous imbibition in fractal tortuous micro-nano pores considering dynamic contact angle and slip effect: phase portrait analysis and analytical solutions
  4. 1184
    “…One framework to study such dynamics is that of fractal geometry; and currently there exist several methods for the study of brain dynamics using fractal geometry. …”
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    Fractal and Multifractal Properties of Electrographic Recordings of Human Brain Activity: Toward Its Use as a Signal Feature for Machine Learning in Clinical Applications
  5. 1185
    “…[Image: see text] We use a paradigmatic mathematic model known as Sierpiński fractal to reverse-engineer artificial nanostructures that can potentially serve as plasmonic metasurfaces as well as nanogap electrodes. …”
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    Realization of Fractal-Inspired Thermoresponsive Quasi-3D Plasmonic Metasurfaces with EOT-Like Transmission for Volumetric and Multispectral Detection in the Mid-IR Region
  6. 1186
    “…It has also become evident that visually-rated alterations do not fully explain the neuroimaging correlates of cognitive decline in SVD. Fractal dimension (FD), a unitless feature of structural complexity that can be computed from high-resolution T(1)-weighted images, has been recently applied to the neuroimaging evaluation of the human brain. …”
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    Fractal dimension of cerebral white matter: A consistent feature for prediction of the cognitive performance in patients with small vessel disease and mild cognitive impairment
  7. 1187
    por Zhang, Zizhen
    Publicado 2020
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    Corrigendum to a novel covid-19 mathematical model with fractional derivatives: Singular and nonsingular kernels [Chaos Solitons & Fractals 139 (2020) 110060]
  8. 1188
    “…The short-term scaling exponent alpha1 of detrended fluctuation analysis (DFA a1), a nonlinear index of heart rate variability (HRV) based on fractal correlation properties, has been shown to steadily change with increasing exercise intensity. …”
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    A New Detection Method Defining the Aerobic Threshold for Endurance Exercise and Training Prescription Based on Fractal Correlation Properties of Heart Rate Variability
  9. 1189
    “…Fractal-fractional derivative is a new class of fractional derivative with power Law kernel which has many applications in real world problems. …”
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    Analysis of newly developed fractal-fractional derivative with power law kernel for MHD couple stress fluid in channel embedded in a porous medium
  10. 1190
    “…SIMPLE SUMMARY: The fractal dimension (FD) and the multifractal spectrum (MFS) are nonlinear quantitative measures which express the heterogeneity in the distribution of the tracer, F-18-fluorodeoxyglucose, ((18)F-FDG), in the body of patients suffering from metastatic melanoma. …”
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    Fractal and Multifractal Analysis of PET-CT Images for Therapy Assessment of Metastatic Melanoma Patients under PD-1 Inhibitors: A Feasibility Study
  11. 1191
    “…The adsorption space fractal dimension (D(A)) is positively correlated with the Langmuir volume (V(L)) under the three-peak transverse relaxation time (T(2)) spectrum. …”
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    Study on the Applicability of Reservoir Fractal Characterization in Middle–High Rank Coals with NMR: Implications for Pore-Fracture Structure Evolution within the Coalification Process
  12. 1192
    “…This study validates the diagnostic accuracy of the recently suggested fractal dimension (FD) of perfusion for detecting clinically significant cancer. …”
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    Accuracy of fractal analysis and PI-RADS assessment of prostate magnetic resonance imaging for prediction of cancer grade groups: a clinical validation study
  13. 1193
    “…The retinal vascular network fractal dimension (FD) could be a promising imaging biomarker. …”
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    Repeatability and Reproducibility of Retinal Fractal Dimension Measured with Swept-Source Optical Coherence Tomography Angiography in Healthy Eyes: A Proof-of-Concept Study
  14. 1194
    “…It can be seen from the fractal dimension that the fractal dimensions of pore types II, III, and IV are rougher.…”
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    Pore Characteristics and Fractal Dimension Analysis of Tectonic Coal and Primary-Structure Coal: A Case Study of Sanjia Coal Mine in Northern Guizhou
  15. 1195
    “…Mercury intrusion capillary pressure (MICP) is used to compute the dimensions of fractals using various fractal models and multifractal characteristics. …”
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    Study of Fractal and Multifractal Features of Pore Structure in Tight Sandstone Reservoirs of the Permian Lucaogou Formation, Jimsar Sag, Junggar Basin, Northwest China
  16. 1196
    por Kim, Taeyoung, Bang, Hyochoong
    Publicado 2022
    “…Therefore, the fractal characteristics of the simulated image are improved. …”
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    Fractal Texture Enhancement of Simulated Infrared Images Using a CNN-Based Neural Style Transfer Algorithm with a Histogram Matching Technique
  17. 1197
    “…In total, we used around 190–220 measures from CEPS at various scales, depending on the analysis undertaken, with our investigation focused on three families of measures: 22 fractal dimension (FD) measures, 40 heart rate asymmetries or measures derived from Poincaré plots (HRA), and 8 measures based on permutation entropy (PE). …”
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    Complexity and Entropy in Physiological Signals (CEPS): Resonance Breathing Rate Assessed Using Measures of Fractal Dimension, Heart Rate Asymmetry and Permutation Entropy
  18. 1198
    por Rashid, Tariq
    Publicado 2014
    “…A gentle journey through the mathematics of the Mandelbrot and Julia fractals, and making your own using the Python computer language. …”
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    Make your own Mandelbrot: a gentle journey through the mathematics of the Mandelbrot and Julia fractals, and making your own using the Python computer language
  19. 1199
    “…This study investigates the pore structure characteristics of tight sandstones by applying thin section petrography, scanning electron microscopy, nuclear magnetic resonance, fractal theory, and geometric analysis. The results indicate that the tight sandstones have a binary pore system, consisting of small pores and combine pores. …”
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    Pore Structure and Fractal Characteristics of Tight Sandstones Based on Nuclear Magnetic Resonance: A Case Study in the Triassic Yanchang Formation of the Ordos Basin, China
  20. 1200
    “…Additionally, we examined advanced quantitative features such as the fractal dimension (FD) of cortical GM and WM, which represents an index of tissue structural complexity derived from 3D-T(1) weighted images. …”
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    Fractal dimension of the cortical gray matter outweighs other brain MRI features as a predictor of transition to dementia in patients with mild cognitive impairment and leukoaraiosis
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