Identification of key regulators in pancreatic ductal adenocarcinoma using network theoretical approach. by Kankana Bhattacharjee, Aryya Ghosh

“…It was found that the PDAC network self-organizes into a scale-free fractal state with weakly hierarchical organization. …”
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Scale Effect on the Anisotropy of Acoustic Emission in Coal by Honghua Song, Yixin Zhao, Yaodong Jiang, Jiehao Wang

“…The TRFD and its anisotropy reduce as the specimen size increases, and the reduction of fractal dimension is most pronounced at the anisotropic angle of 45°. …”
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Human Development IX: A Model of the Wholeness of Man, His Consciousness, and Collective Consciousness by Søren Ventegodt, Tyge Dahl Hermansen, Trine Flensborg-Madsen, Erik Rald, Maj Lyck Nielsen, Joav Merrick

“…These phenomena are explained based on the concept of deep quantum chemistry and infinite dancing fractal spirals making up the energetic backbone of the world. …”
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Fault Detection in an Electro-Hydrostatic Actuator Using Polyscale Complexity Measures and Bayesian Classification by Soleiman Hosseinpour, Witold Kinsner, Saman Muthukumarana, Nariman Sepehri

“…In order to extract features from the acquired signals, a polyscale measure known as variance fractal dimension (VFD) is employed. VFD measures are employed as features for Bayesian classification, allowing for distinguishing faulty conditions. …”
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A Study on Community Unit Scale Construction in China Under the Orientation of Green Production by Rui Zhang, Qingjian Zeng, Yanhang Lv, Huanjie Liu, Lixian Shi, Yukun Zhang

“…Ultimately, a quadratic optimization scale was devised for community units at varying levels based on fractal and management unit theory. This paper presents a new community unit scale constructed for use in large- and medium-sized areas in China, which serves as an illustrative example. …”
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An Experimental Study on the Microstructures of Cemented Paste Backfill during Its Developing Process by Bo Zhang, Jie Xin, Lang Liu, Lijie Guo, Ki-Il Song

“…The characteristics including pore size, pore shape, and orientation of the microstructures of CPB at different curing times were analyzed based on the SEM images. The porosity, fractal dimension, and probability entropy were characterized using the Particles and Pore Recognition and Analysis System (PPRAS). …”
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Study on the effect of acid fracturing fluid on pore structure of middle to high rank coal by Zhao Kang, Li Liangwei, Li Kun, Zuo Shaojie, Jiang Zhizhong

“…The new micropores produced by the acid fracturing fluid will increase the roughness of the fracture surface, but the widening of the original fracture will reduce the tortuosity of the fracture. Only the fractal dimension of lean coal has a significant change, about 6%. …”
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Bright and stable anti-counterfeiting devices with independent stochastic processes covering multiple length scales by Junfang Zhang, Adam Creamer, Kai Xie, Jiaqing Tang, Luke Salter, Jonathan P. Wojciechowski, Molly M. Stevens

“…By embedding SPNs in photoresists, we generate PUFs consisting of nanoscale (distribution of SPNs within microspots), microscale (fractal edges on microspots), and macroscale (random microspot array) designs. …”
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Autocita y mise en abyme by Marco Kunz

“…El análisis de estas obras permite afirmar que la repetición textual, y no sólo en su forma de autocita con cambio del nivel de enunciación, puede ser una especie de fractal especular que comparte algunas características y funciones con la mise en abyme.…”
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Experiments and Modeling on the Influence of Interfacial Tension on Imbibition Height of Low-Permeability Reservoir by Xiaoxia Ren, Aifen Li, Piyang Liu, Bingqing He

“…An imbibition model considering imbibition resistance and bending of pore throats was established based on fractal theory. According to the experimental results, variations in the imbibition height of low-permeability rock samples with time can be divided into three stages. …”
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Influence of Macrotexture and Microtexture on the Skid Resistance of Aggregates by Bowen Guan, Jiayu Wu, Chao Xie, Jianhong Fang, Haile Zheng, Huaxin Chen

“…This article intends to study the influence of macrotexture and microtexture on the skid resistance of four types of aggregates. For this purpose, fractal dimension (D), root mean square height (Rq), and Polished Stone Value (PSV) were tested. …”
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Effect of Freeze–Thaw Action on Mesostructure of Ecological Fiber Reinforced Loess by Zhongnan Gao, Xiaofeng Liu, Chao Cheng, Chen Li, Haifeng Zhang, Qian Wang

“…On the other hand, the freezing and thawing action increases the apparent void ratio, the mean pore area, and the area probability distribution index of the reinforced loess, while decreasing the probability entropy and bringing the fractal dimension very close. Freeze–thaw has the least effect on the apparent void ratio and microfine pore area ratio of 1% fiber loess. …”
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Characterization and Prediction of the Ghana Stock Exchange Composite Index Utilizing Bayesian Stochastic Volatility Models by Osei K. Tweneboah, Kwesi A. Ohene-Obeng, Maria C. Mariani

“…We characterize the GSE-CI using advanced analytical tools such as the Hurst exponent and <i>R</i>/<i>S</i> analysis to uncover its fractal properties and complex dynamics. The paper then advances to predictive modeling, employing an innovative approach with four variations of Stochastic Volatility (SV) models: SV with linear regressors, SV with Student’s <i>t</i> errors, SV with leverage effects, and a hybrid model combining Student’s <i>t</i> errors with leverage. …”
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Experimental Study on Crushing Characteristics of Lignite under Different Load Conditions by Ziwen Dong

“…After the coal body was under pressure, the degree of crushing intensified. The fractal dimension of the particle sizes of broken coal particles followed a logarithmic relationship with the increase in the stress. …”
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Flow optimization in vascular networks by Radu C. Cascaval, Ciro D'Apice, Maria Pia D'Arienzo, Rosanna Manzo

“…The aim is to study the effect of truncation to the flow in the root edge of a fractal network, the effect of adding or subtracting an edge to a given network, and optimal control strategies on a network in the event of a blockage or unblockage of an edge or of an entire subtree.…”
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Una aproximación experimental a los sistemas dinámicos discretos con Mathematica by Michael Rojas Romero

“…El dibujo obtenido, el conjunto Julia, es un fractal. No obstante, la imagen que se logra será siempre una aproximación.…”
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Entropy, complexity, and spectral features of EEG signals in autism and typical development: a quantitative approach by Aleksandar Tenev, Silvana Markovska-Simoska, Andreas Müller, Igor Mishkovski

“…Time and frequency domain features were applied for all EEG channels, such as the power spectra, brain rate, sample entropy, permutation entropy, spectral entropy, Tsallis entropy, Rényi entropy, Lempel–Ziv complexity, and Higuchi fractal dimension. The features were compared between the ASD and TD groups and tested for statistical significance. …”
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A Compact Highly Isolated Four-Element Antenna System for Ultra-Wideband Applications by V. Prithivirajan, Mariya Princy Antony Saviour, J. Seetha, B. Siva Kumar Reddy, Anand Anbalagan, D. Rajesh Kumar

“…The envisioned antenna is built up of four microstrip fractal-based circular patch elements, each of which is fed by a microstrip line with a 50-ohm impedance. …”
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Prediction of Soil Water Characteristic Curve Based on Soil Water Evaporation by Gaoliang Tao, Da Lei, Lisheng Liu, Yi Li, Xueliang Zhu

“…This study developed the application of evaporation curves in geotechnical engineering, reduced the workload of measuring soil water characteristic curves, and explored the relationship between evaporation rate and fractal dimension. Through the indoor tests, we measured soil water characteristic curves of specimens and soil water evaporation curves at different temperatures and explored the relationship between these two curves. …”
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Multipoint Optimal Minimum Entropy Deconvolution Adjusted for Automatic Fault Diagnosis of Hoist Bearing by Tengyu Li, Ziming Kou, Juan Wu, Waled Yahya, Francesco Villecco

“…In the second part, the particle swarm optimization (PSO) taking fractal dimension as the objective function is employed to choose the filter length of MOMEDA, and then the feature frequency is extracted by MOMEDA from the reconstructed signal. …”
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