Correlation Analysis of Spatial Distribution, Temporal Seismotectonics, and Return Period of Earthquake in East Nusa Tenggara, Indonesia by Hery Leo Sianturi, Adi Susilo, Sunaryo, Sukir Maryanto

“…The pattern of spatial distribution of b-value is relatively low corresponding to the low of a-value, which means the high level of stress of rock in the area. The fractal dimension shows that the D value ranges from 1.384 to 1.874. …”
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Differences in Optical Two-dimensional Morphological Characteristics of Downward Lightning Channels with Different Polarities by Mei Ji, Lü Weitao, Qi Qi, Xu Weiqun, Wu Bin, Ma Ying, Liu Hengyi, Chen Lüwen, Zhang Yang

“…This difference in bifurcation number also leads to differences in fractal dimension, with the fractal dimension of positive CG lightning ranging from 1.03 to 1.30 (average of 1.11), while that of negative CG lightning has an average of 1.21, ranging from 1.12 to 1.30, with its minimum value exceeding the average of positive CG lightning. …”
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A multiscale model of the bone marrow and hematopoiesis by Ariosto Silva, Alexander R. A. Anderson, Robert Gatenby

“…Our goal is the development of a spatially-explicit in silico model of the bone marrow to understand both its normal function and the evolutionary dynamics that govern the emergence of bone marrow malignancy.Here we introduce a multiscale computational model of the bone marrow that incorporates three distinct spatial scales, cell, hematopoietic subunit, whole marrow.Our results, using parameter estimates from literature, recapitulates normal bone marrow function and suggest an explanation for the fractal-like structure of trabeculae and sinuses in the marrow, which would be an optimization of the hematopoietic function in order to maximize the number of mature blood cells produced daily within the volumetric restrictions of the marrow.…”
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Influence of Chemical Corrosion on Dynamic Fracturing Mechanical Behavior of Marbles by Chunmei Zheng, Jiayan Zheng, Xiaojuan Peng, Lei Zhou

“…In the Dc range of 0–4.42%, the fractal dimension of the main crack propagation path increases from 1.47 to 1.59, by an increase rate of 8.16%. …”
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The Seepage Evolution Mechanism of Variable Mass of Broken Rock in Karst Collapse Column under the Influence of Mining Stress by Li Xiao-Lei, Li Xin-Lei, Wang Yue, Peng Wei-Hang, Fan Xuan, Cao Zheng-Zheng, Liu Rui-Fu

“…The test samples are prepared based on the fractal theory and the Talbol grading theory, and the seepage evolution law of fractured rock in collapse column under triaxial stress is studied, by employing the triaxial seepage test equipment. …”
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Particle-Size Distribution Models for the Conversion of Chinese Data to FAO/USDA System by Wei Shangguan, YongJiu Dai, Carlos García-Gutiérrez, Hua Yuan

“…The soil data were converted to the USDA (United States Department of Agriculture) standard using PSD models and the fractal concept. The performance of PSD models was affected by soil texture and classification of fraction schemes. …”
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Multifractal-Multiscale Analysis of Cardiovascular Signals: A DFA-Based Characterization of Blood Pressure and Heart-Rate Complexity by Gender by Paolo Castiglioni, Davide Lazzeroni, Paolo Coruzzi, Andrea Faini

“…Detrended Fluctuation Analysis (DFA) is a popular method for assessing the fractal characteristics of biosignals, recently adapted for evaluating the heart-rate multifractal and/or multiscale characteristics. …”
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Graph-Based Analysis of RNA Secondary Structure Similarity Comparison by Lina Yang, Yang Liu, Xiaochun Hu, Patrick Wang, Xichun Li, Jun Wu

“…A combinational method involving a discrete wavelet transform (DWT) and fractal dimension with sliding window is introduced to analyze and compare the graphs derived from feature extraction; after that, the distance matrix is generated. …”
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An efficient way to represent the processors and their connections in omega networks by Savari Prabhu, T. Jenifer Janany, Paul Manuel

“…We also compare these parameters with those of other predominant interconnection networks, such as the butterfly, Beneš, and fractal cubic networks, and we observe that the omega network has significantly lower values for these parameters compared to the other networks.…”
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Modeling of Two-Phase Flow in Rough-Walled Fracture Using Level Set Method by Yunfeng Dai, Zhifang Zhou, Jin Lin, Jiangbo Han

“…The roughness of the two-dimensional synthetic rough-walled fractures is controlled with different fractal dimension parameters. Described by the Navier–Stokes equations, the moving interface between crude oil and water is tracked using level set method. …”
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Experimental Study on Mechanism of Graphene Oxide-Modified Coral Sand Cement Mortar to Resist Sulfate Erosion by Bin Chen, Jianlin Zhang, Yanlin Zhao, Yiwei Lu

“…There were more orderly pore arrangement with less morphological complexity, when the dissolution amount of Ca(OH)2, porosity, total pore area, pore number, probability entropy, average form factor, and fractal dimension decreased. Coral sand cement mortar increases resistance to sulfate attack, which graphene oxide inhibits the formation of new dissolution pores and the expansion of original pores.…”
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Molecular architecture of the altered cortical complexity in autism by Makliya Mamat, Yiyong Chen, Wenwen Shen, Lin Li

“…We integrated microscale brain gene expression data with macroscale MRI data from 1829 participants, including individuals with ASD and typically developing controls, from the autism brain imaging data exchange I and II. Using fractal dimension as an index for quantifying cortical complexity, we identified significant regional alterations in ASD, within the left temporoparietal, left peripheral visual, right central visual, left somatomotor (including the insula), and left ventral attention networks. …”
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Deformation Failure Characteristics of Coal Body and Mining Induced Stress Evolution Law by Zhijie Wen, Guanglong Qu, Jinhao Wen, Yongkui Shi, Chuanyang Jia

“…All this indicates that the pore distribution of coal body with different compressed volume has fractal character; it appears to be the linear relationship between propagation range of internal stress field and compressed volume of coal body and nonlinear relationship between the range of outburst coal mass and the number of pores which is influenced by mining pressure. …”
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Research on the Energy Dissipation Patterns and Fragment Size Distribution Characteristics of Coal Under Cyclic Impact Loading With Confining Pressure by He Yongliang, Fu Yuping, Li Chuantian, Sun Liying, Zhang Dongya

“…Under different impact pressures, the fractal dimension of coal fragmentation shows a linear change, and as the impact pressure increases, the degree of fragmentation intensifies, and the mass of the fragmented coal decreases. …”
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Effects of Continuous Positive Airway Pressure on Sleep EEG Characteristics in Patients with Primary Central Sleep Apnea Syndrome by Cheng Zhang, Kun Chen, Guangfa Wang, Jue Zhang, Jing Ma

“…The raw sleep EEG data were analyzed based on two main factors: fractal dimension (FD) and zero-crossing rate of detrended FD. …”
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Evolution and Influencing Factors of Township Spatial Form: A Two-Dimensional Perspective by Yanpeng Gao, Wenjun Chen

“…Assessing the spatial and temporal evolution of rural settlements contributes to the promotion of rural scientific developments. This study used the fractal theory, center-of-gravity model, and spatial syntax to analyze the spatial and temporal evolution of Shenyang Ciyutuo Subdistrict and its influencing factors based on geospatial data from 2009‒2019, from the perspectives of internal characteristics and external morphological changes. …”
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Experimental Investigation on Nonlinear Flow Anisotropy Behavior in Fracture Media by Chun Zhu, Xiaoding Xu, Xiuting Wang, Feng Xiong, Zhigang Tao, Yun Lin, Jing Chen

“…The fracture was assumed to be a self-affine surface, and its roughness and anisotropy were quantified by the fractal dimension. According to the flow tortuosity effect, the nonlinear flow was characterized by hydraulic tortuosity and surface tortuosity power law relationships based on Forchheimer’s law. …”
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Quantitative Analysis of the Topological Structure of Rock Pore Network by Dayu Ye, Guannan Liu, Ning Luo, Feng Gao, Xinmin Zhu, Fengtian Yue

“…However, the prevailing methods for characterising the microstructure of rocks, such as the coordination number method and fractal theory, are still difficult to quantify the structural properties. …”
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THE COMPILATION OF SHANNON ENTROPY MEASUREMENT EQUATION FOR NONLINEAR DYNAMIC SYSTEMS BY USING THE INTERVAL ANALYSIS METHODS by Yu. P. Machekhin, Yu. S. Kurskoy

“…It’s proposed to use the fractal, entropic and temporal scales as tools for evaluation of a systems state. …”
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Continuous 1D single crystal growth with high aspect ratio by oriented aggregation of dendrite by Quan Wan, Maoqi Li, Yuhao Zhou, Meng Zhang, Zongpu Xu, Jie Wang, Yajun Shuai, Shuxu Yang, Mingying Yang

“…Here, we find that continuous 1D growth of crystals can be achieved during dendrite formation, where the fractal dendrite crystal growth intrinsically restricts side broadening. …”
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