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Journal articles on the topic 'Fractal arrivals'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Boschetti, Fabio, Mike D. Dentith, and Ron D. List. "A fractal‐based algorithm for detecting first arrivals on seismic traces." GEOPHYSICS 61, no. 4 (1996): 1095–102. http://dx.doi.org/10.1190/1.1444030.

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A new algorithm is proposed for the automatic picking of seismic first arrivals that detects the presence of a signal by analyzing the variation in fractal dimension along the trace. The “divider‐method” is found to be the most suitable method for calculating the fractal dimension. A change in dimension is found to occur close to the transition from noise to signal plus noise, that is the first arrival. The nature of this change varies from trace to trace, but a detectable change is always found to occur. The algorithm has been tested on real data sets with varying S/N ratios and the results c

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2

Tayco, Ryan O., Rosemarie C. Español, and Grissil P. Babon. "Tourist arrivals and climate risk indices Impact of the ruggedness of climate risk conditions on tourism industry across the globe." University of the Visayas - Journal of Research 8, no. 1 (2014): 103–14. https://doi.org/10.5281/zenodo.1964692.

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The study demonstrates the use of methods associated with fractal statistics in the analysis of data roughness of the climate risk condition measured by a Global Climate Risk Index among countries in the world as this induce a subsequent ruggedness in the number of international tourist arrivals in the different countries. Results reveal that there is a considerable amount of unevenness in the climate risk conditions of the countries studied and that such irregularities occur more apparently in the less stable and more risky nations. This finding implies that the weather patterns situation of

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3

Ivaskevicius, Marius, and Huriye Armagan Dogan. "Computational Analysis of Biophilic Scale Distributions of Façades in Kaunas City Centre." Landscape architecture and art 18 (October 7, 2021): 16–28. http://dx.doi.org/10.22616/j.landarchart.2021.18.02.

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The results of numerous studies which are performed on the concepts of Biophilic architecture demonstrate that it can influence emotional tension and health of the observers. Moreover Biophilic research exhibits that not only natural plants induce biophilic response, but also artificial, human creations with certain fractal dimensions or distributions of scales can have an impact. In that regard, the aim of this research is to describe the relation between measurable Biophilic properties of façades and the emotional tension inducing health problems measured with the count of medical emergency

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Jiao, Lingxiu, and Wooil M. Moon. "Detection of seismic refraction signals using a variance fractal dimension technique." GEOPHYSICS 65, no. 1 (2000): 286–92. http://dx.doi.org/10.1190/1.1444719.

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Seismic signals in deep crustal surveys are often contaminated with various types of noise, mainly caused by the low signal‐to‐noise (S/N) earth environment. A variance fractal dimension (VFD) technique is investigated and tested with real data sets for detection of seismic refraction signals from background noise. The data tested in this study were collected during the 1992 Lithoprobe Abitibi‐Grenville Transect high‐resolution refraction and wide‐angle reflection seismic experiments. The sharpness of transition features on the VFD trajectory is used as a criterion for distinguishing specific

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Hartzell, Stephen, Stephen Harmsen, Arthur Frankel, and Shawn Larsen. "Calculation of broadband time histories of ground motion: Comparison of methods and validation using strong-ground motion from the 1994 Northridge earthquake." Bulletin of the Seismological Society of America 89, no. 6 (1999): 1484–504. http://dx.doi.org/10.1785/bssa0890061484.

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Abstract This article compares techniques for calculating broadband time histories of ground motion in the near field of a finite fault by comparing synthetics with the strong-motion data set for the 1994 Northridge earthquake. Based on this comparison, a preferred methodology is presented. Ground-motion-simulation techniques are divided into two general methods: kinematic- and composite-fault models. Green's functions of three types are evaluated: stochastic, empirical, and theoretical. A hybrid scheme is found to give the best fit to the Northridge data. Low frequencies (&lt; 1 Hz) are c

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Bleibinhaus, Florian, and Stéphane Rondenay. "Effects of surface scattering in full-waveform inversion." GEOPHYSICS 74, no. 6 (2009): WCC69—WCC77. http://dx.doi.org/10.1190/1.3223315.

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In full-waveform inversion of seismic body waves, often the free surface is ignored on grounds of computational efficiency. A synthetic study was performed to investigate the effects of this simplification. In terms of size and frequency, the test model and data conform to a real long-offset survey of the upper crust across the San Andreas fault. Random fractal variations are superimposed on a background model with strong lateral and vertical velocity variations ranging from 1200 to 6800 m/s. Synthetic data were computed and inverted for this model and different topographies. A fully viscoelas

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7

Connolly, Luke. "Beckett's Broken Circle: A Literary Fractal." Journal of Beckett Studies 29, no. 2 (2020): 196–215. http://dx.doi.org/10.3366/jobs.2020.0311.

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This essay proposes that the picture of a broken circle encountered by Watt during the second part of his tale marks a crucial collision point between Beckett's literary and mathematical interests and triggers a process of fractal scaling self-similarity. Building on recent interest concerning the role of the mathematics and mathematical forms found in Beckett's work, I argue that the broken circle depicted in the picture from Watt is a geometric form which (re)appears within at least three interlocking scales throughout Beckett's novel-length prose: (i) its moment of arrival in the picture fr

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Larsen, Michael L., Alexander B. Kostinski, and Ali Tokay. "Observations and Analysis of Uncorrelated Rain." Journal of the Atmospheric Sciences 62, no. 11 (2005): 4071–83. http://dx.doi.org/10.1175/jas3583.1.

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Abstract Most microphysical models in precipitation physics and radar meteorology assume (at least implicitly) that raindrops are completely uncorrelated in space and time. Yet, several recent studies have indicated that raindrop arrivals are often temporally and spatially correlated. Resolution of this conflict must begin with observations of perfectly uncorrelated rainfall, should such “perfectly steady rain” exist at all. Indeed, it does. Using data with high temporal precision from a two-dimensional video disdrometer and the pair-correlation function, a scale-localized statistical tool, se

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Arauza Rivera, Andrea, Adam Lankford, Matt McClinton, and Sandra Torres. "An IFS for the Stretched Level-n Sierpinski Gasket." PUMP Journal of Undergraduate Research 5 (June 7, 2022): 105–21. http://dx.doi.org/10.46787/pump.v5i0.2743.

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Broadly, fractals are sets that exhibit a repeating pattern at multiple scales. One important fractal set is the Sierpinski Gasket (SG) which is made up of nested equilateral triangles. A variation of the classic Sierpinski gasket is to create n-levels with the equilateral triangles. Another variation is to stretch the points of intersection for the triangles in SG into line segments of length 0 < α < 1/3. When one combines these variations, one arrives at the stretched level-n Sierpinski gaskets (SSGn) which are the focus of this work. We give an introduction to iterated function system

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10

Razdan, Ashok. "Fractal and entropy studies of Cherenkov arrival times." New Astronomy 53 (May 2017): 12–19. http://dx.doi.org/10.1016/j.newast.2016.11.004.

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Chai, Ming, Ping Gu, and Yue Ping Cui. "Deterministic Bounds on Performance of Self-Similar Network Based on ETS." Applied Mechanics and Materials 268-270 (December 2012): 1701–5. http://dx.doi.org/10.4028/www.scientific.net/amm.268-270.1701.

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According to the traffic regulating method and the traffic scheduling method of QoS control methods, this paper regulates traffic using the fractal regulator and proposes the arrival curve according to the output envelope of the fractal regulator. In addition, we put forward the service curve based on Enhanced Transmission Selection (ETS). Finally, we drive the deterministic bounds on performance of the self-similar network using the arrival curve and the service curve based on network calculus. These bounds have reference value for QoS guarantee, admission control and network planning.

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12

Li, Ming, Wei Zhao, and Carlo Cattani. "Delay Bound: Fractal Traffic Passes through Network Servers." Mathematical Problems in Engineering 2013 (2013): 1–15. http://dx.doi.org/10.1155/2013/157636.

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Delay analysis plays a role in real-time systems in computer communication networks. This paper gives our results in the aspect of delay analysis of fractal traffic passing through servers. There are three contributions presented in this paper. First, we will explain the reasons why conventional theory of queuing systems ceases in the general sense when arrival traffic is fractal. Then, we will propose a concise method of delay computation for hard real-time systems as shown in this paper. Finally, the delay computation of fractal traffic passing through severs is presented.

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Zhang, Jiangjing, Yalei Tang, and Hongjie Li. "STA/LTA Fractal Dimension Algorithm of Detecting the P‐Wave Arrival." Bulletin of the Seismological Society of America 108, no. 1 (2017): 230–37. http://dx.doi.org/10.1785/0120170099.

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Iomin, Alexander, and Trifce Sandev. "Fractional Diffusion to a Cantor Set in 2D." Fractal and Fractional 4, no. 4 (2020): 52. http://dx.doi.org/10.3390/fractalfract4040052.

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A random walk on a two dimensional square in R2 space with a hidden absorbing fractal set Fμ is considered. This search-like problem is treated in the framework of a diffusion–reaction equation, when an absorbing term is included inside a Fokker–Planck equation as a reaction term. This macroscopic approach for the 2D transport in the R2 space corresponds to the comb geometry, when the random walk consists of 1D movements in the x and y directions, respectively, as a direct-Cartesian product of the 1D movements. The main value in task is the first arrival time distribution (FATD) to sink points

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Liang, Yingjie, Ninghu Su, and Wen Chen. "A time-space Hausdorff derivative model for anomalous transport in porous media." Fractional Calculus and Applied Analysis 22, no. 6 (2019): 1517–36. http://dx.doi.org/10.1515/fca-2019-0079.

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Abstract This paper presents a time-space Hausdorff derivative model for depicting solute transport in aquifers or water flow in heterogeneous porous media. In this model, the time and space Hausdorff derivatives are defined on non-Euclidean fractal metrics with power law scaling transform which, respectively, connect the temporal and spatial complexity during transport. The Hausdorff derivative model can be transformed to an advection-dispersion equation with time- and space-dependent dispersion and convection coefficients. This model is a fractal partial differential equation (PDE) defined o

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Wang, Shuaifeng, and Zixin Zhang. "Wavefield Evolution and Arrival Behavior of Elastic Wave Propagation in Two-Dimensional Fractional Brownian Fields." Fractal and Fractional 8, no. 12 (2024): 750. https://doi.org/10.3390/fractalfract8120750.

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The fractional Brownian field is often used to reproduce the fractal properties of complex heterogeneous media, which closely represent real-world geological materials. Studying elastic wave transport in this type of heterogeneous media is essential for advancing knowledge in geophysics, seismology, and rock mechanics. In this paper, we numerically investigate the wavefield evolution and arrival behavior of elastic wave propagation in a two-dimensional fractional Brownian field characterized by the standard deviation (σ) and the Hurst exponent (H). Using a high-fidelity finite element model, w

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Wang, Xuesong, Zhenyang Xu, and Lianjun Guo. "A New Data Processing Approach for the SHPB Test Based on PSO-TWER." Applied Sciences 14, no. 9 (2024): 3624. http://dx.doi.org/10.3390/app14093624.

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This study addresses the challenge of accurately determining the arrival time of stress wave signals in SHPB test data processing. To eliminate human error, we introduce the time-window energy ratio method and evaluate six filters for noise reduction using box fractal dimensions. A mathematical model is established to optimize the stress equilibrium and impact process, which is solved using particle swarm optimization, resulting in the PSO-TWER method. We explore the impact of inertia weight and calculation methods on optimization outcomes, defining a stress equilibrium evaluation index. The r

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18

Khorsheed, Murad B., Qasim M. Zainel, Oday A. Hassen, and Saad M. Darwish. "The Application of Fractal Transform and Entropy for Improving Fault Tolerance and Load Balancing in Grid Computing Environments." Entropy 22, no. 12 (2020): 1410. http://dx.doi.org/10.3390/e22121410.

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This paper applies the entropy-based fractal indexing scheme that enables the grid environment for fast indexing and querying. It addresses the issue of fault tolerance and load balancing-based fractal management to make computational grids more effective and reliable. A fractal dimension of a cloud of points gives an estimate of the intrinsic dimensionality of the data in that space. The main drawback of this technique is the long computing time. The main contribution of the suggested work is to investigate the effect of fractal transform by adding R-tree index structure-based entropy to exis

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19

JUMARIE, GUY. "ON SOME SIMILARITIES AND DIFFERENCES BETWEEN FRACTIONAL PROBABILITY DENSITY SIGNED MEASURE OF PROBABILITY AND QUANTUM PROBABILITY." Modern Physics Letters B 23, no. 06 (2009): 791–805. http://dx.doi.org/10.1142/s0217984909019041.

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A probability density of fractional (or fractal) order is defined by the probability increment pr{x < X ≤ x+dx} = pα(x)(dx)α, 0 < α < 1, and appears to be quite suitable to deal with random variables defined in a fractal space. Combining this definition with the fractional Taylor's series [Formula: see text] denotes the Mittag–Leffler function) provided by the modified Riemann–Liouville derivative, one can expand a probability calculus parallel to the standard one. This approach could be considered as a framework for the derivation of some space fractional partial differential diffusi

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Lei, Xinglin. "Evolution of b-Value and Fractal Dimension of Acoustic Emission Events During Shear Rupture of an Immature Fault in Granite." Applied Sciences 9, no. 12 (2019): 2498. http://dx.doi.org/10.3390/app9122498.

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The present study investigated the evolutions of b-value and fractal dimension of acoustic emission (AE) events during shear rupture of a naturally-created rough fracture in a granite specimen under triaxial compression. Acoustic emission signals were monitored by 16 sensors mounted directly on the surface of the specimen, and AE waveforms were sampled at 16 bits and 25 MHz. Reliable hypocenters were determined using P-wave arrival times picked up from the waveforms. Acoustic emission magnitude was determined from the maximum amplitude monitored by two peak detectors, which have a relative mag

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21

Imashev, Sanjar, Mikhail Mishchenko, and Mikhail Cheshev. "Fractal analysis of seismoacoustic signals of near-surface sedimentary rocks in Kamchatka." Geofizika 36, no. 2 (2020): 153–69. http://dx.doi.org/10.15233/gfz.2019.36.15.

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We studied, by the mono- and multifractal detrended fluctuation analysis (DFA), time fluctuations in the dynamics of seismoacoustic data, recorded in Karymshina site, which is located in a seismic area of Kamchatka. We took a series of seismoacoustic responses to the regional seismic events with the mag-nitudes M &gt; 4 for the period 2017–2018. The series was divided into three groups (high, medium and low) based on the amplitude of recorded seismoacoustic re-sponse. Background noise segments of the signals demonstrated monofractal behavior similar to white noise by almost constant values

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22

Li, Ming, and Wei Zhao. "Abstract Description of Internet Traffic of Generalized Cauchy Type." Mathematical Problems in Engineering 2012 (2012): 1–18. http://dx.doi.org/10.1155/2012/821215.

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Self-similar process with long-range dependence (LRD), that is, fractional Gaussian noise (fGn) with LRD is a widely used model of Internet traffic. It is indexed by its Hurst parameterHfGnthat linearly relates to its fractal dimensionDfGn. Note that, on the one hand, the fractal dimensionDof traffic measures local self-similarity. On the other hand, LRD is a global property of traffic, which is characterized by its Hurst parameterH. However, by using fGn, both the self-similarity and the LRD of traffic are measured byHfGn. Therefore, there is a limitation for fGn to accurately model traffic.

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KIM, KYUNGSIK, K. H. CHANG, and DEOCK-HO HA. "MULTIFRACTALS ON SMALL-WORLD NETWORKS." International Journal of Modern Physics B 21, no. 23n24 (2007): 4059–63. http://dx.doi.org/10.1142/s0217979207045207.

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We investigate the multifractals of the first passage time on a one-dimensional small-world network with reflecting and absorbing barriers. We analyze numerically the distribution of the first passage time at which the random walker arrives for the first time at an absorbing barrier after starting from an arbitrary initial site. Our simulation is found to estimate the fractal dimension D0 = 0.920 ∼ 0.930 for the different network sizes and random rewiring fractions. In particular, our simulation results are compared with the numerical computations for regular networks.

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Posadas-Mondragón and Camacho-Velázquez. "Partially Penetrated Well Solution of Fractal Single-Porosity Naturally Fractured Reservoirs." Fractal and Fractional 3, no. 2 (2019): 23. http://dx.doi.org/10.3390/fractalfract3020023.

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In the oil industry, many reservoirs produce from partially penetrated wells, either to postpone the arrival of undesirable fluids or to avoid problems during drilling operations. The majority of these reservoirs are heterogeneous and anisotropic, such as naturally fractured reservoirs. The analysis of pressure-transient tests is a very useful method to dynamically characterize both the heterogeneity and anisotropy existing in the reservoir. In this paper, a new analytical solution for a partially penetrated well based on a fractal approach to capture the distribution and connectivity of the f

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GOMEZ, LUIS F., EVGENY LOGINOV, AVIK HALDER, VITALY V. KRESIN, and ANDREY F. VILESOV. "FORMATION OF UNUSUAL COPPER CLUSTERS IN HELIUM NANODROPLETS." International Journal of Nanoscience 12, no. 02 (2013): 1350014. http://dx.doi.org/10.1142/s0219581x13500142.

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Photoabsorption profiles of copper clusters, Cu N, grown in superfluid helium droplets were studied by beam depletion spectroscopy. For N below ~ 103 the spectra are characteristic of individual metallic particles, but in larger clusters a strong, broad absorption feature appears in the near-infrared region. This suggests a transition from single- to multicenter condensation: as the arrival frequency of metal atoms exceeds their transport time within the helium matrix, they nucleate into small individual agglomerates which later collect into a noncompact, possibly fractal or percolative assemb

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Maity, Arunava, and U. C. Gupta. "A Comparative Numerical Study of the Spectral Theory Approach of Nishimura and the Roots Method Based on the Analysis of BDMMAP/G/1 Queue." International Journal of Stochastic Analysis 2015 (February 17, 2015): 1–9. http://dx.doi.org/10.1155/2015/958730.

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This paper considers an infinite-buffer queuing system with birth-death modulated Markovian arrival process (BDMMAP) with arbitrary service time distribution. BDMMAP is an excellent representation of the arrival process, where the fractal behavior such as burstiness, correlation, and self-similarity is observed, for example, in ethernet LAN traffic systems. This model was first apprised by Nishimura (2003), and to analyze it, he proposed a twofold spectral theory approach. It seems from the investigations that Nishimura’s approach is tedious and difficult to employ for practical purposes. The

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27

Sabbione, Juan I., and Danilo Velis. "Automatic first-breaks picking: New strategies and algorithms." GEOPHYSICS 75, no. 4 (2010): V67—V76. http://dx.doi.org/10.1190/1.3463703.

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We have developed three methods for the automatic picking of first breaks that can be used for marine, dynamite, or vibroseis shot records: a modified Coppens’s method, an entropy-based method, and a variogram fractal-dimension method. The techniques are based on the fact that the transition between noise and noise plus signal can be automatically identified by detecting rapid changes in a certain attribute (energy ratio, entropy, or fractal dimension), which we calculate within moving windows along the seismic trace. The application of appropriate edge-preserving smoothing operators to enhanc

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CHANG, K. H., B. C. CHOI, SEONG-MIN YOON, and KYUNGSIK KIM. "MULTIFRACTAL MEASURES ON SMALL-WORLD NETWORKS." Fractals 14, no. 02 (2006): 119–23. http://dx.doi.org/10.1142/s0218348x0600312x.

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We investigate the multifractals of the first passage time on a one-dimensional small-world network with reflecting and absorbing barriers. The multifractals can be obtained from the distribution of the first passage time at which the random walker arrives for the first time at an absorbing barrier after starting from an arbitrary initial site. Our simulation is found to estimate the fractal dimension D0 = 0.920 ~ 0.930 for the different network sizes and random rewiring fractions. In particular, the multifractal structure breaks down into a small-world network, when the rewiring fraction p is

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29

Chi-Durán, Rodrigo, Diana Comte, Marcos Díaz, and Jorge F. Silva. "Automatic detection of P- and S-wave arrival times: new strategies based on the modified fractal method and basic matching pursuit." Journal of Seismology 21, no. 5 (2017): 1171–84. http://dx.doi.org/10.1007/s10950-017-9658-0.

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de Moraes, Ricardo Mendonça, Luan Carlos de Sena Monteiro Ozelim, and André Luís Brasil Cavalcante. "Generalized Skewed Model for Spatial-Fractional Advective–Dispersive Phenomena." Sustainability 14, no. 7 (2022): 4024. http://dx.doi.org/10.3390/su14074024.

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The conventional mathematical model expressed by the advection–dispersion equation has been widely used to describe contaminant transport in porous media. However, studies have shown that it fails to simulate early arrival of contaminant, long tailing breakthrough curves and presents a physical scale-dependency of the dispersion coefficient. Recently, advances in fractional calculus allowed the introduction of fractional order derivatives to model several engineering and physical phenomena, including the anomalous dispersion of solute particles. This approach gives birth to the fractional adve

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Dudczyk, J., and A. Kawalec. "Specific emitter identification based on graphical representation of the distribution of radar signal parameters." Bulletin of the Polish Academy of Sciences Technical Sciences 63, no. 2 (2015): 391–96. http://dx.doi.org/10.1515/bpasts-2015-0044.

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Abstract The article presents some possibilities of same type radar copies identification with the use of graphical representation. The procedure described by the authors is based on transformation and analysis of basic parameters distribution which are measured by the radar signal especially Pulse Repetition Interval. A radar intercept receiver passively collects incoming pulse samples from a number of unknown emitters. Information such as Pulse Repetition Interval, Angle of Arrival, Pulse Width, Radio Frequency and Doppler shifts are not usable. The most important objectives are to determine

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SÁNCHEZ, YOLANDA GUERRERO, ZULQURNAIN SABIR, and JUAN L. G. GUIRAO. "DESIGN OF A NONLINEAR SITR FRACTAL MODEL BASED ON THE DYNAMICS OF A NOVEL CORONAVIRUS (COVID-19)." Fractals 28, no. 08 (2020): 2040026. http://dx.doi.org/10.1142/s0218348x20400265.

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The aim of the present paper is to state a simplified nonlinear mathematical model to describe the dynamics of the novel coronavirus (COVID-19). The design of the mathematical model is described in terms of four categories susceptible ([Formula: see text], infected ([Formula: see text], treatment ([Formula: see text] and recovered ([Formula: see text], i.e. SITR model with fractals parameters. These days there are big controversy on if is needed to apply confinement measure to the population of the word or if the infection must develop a natural stabilization sharing with it our normal life (l

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Melero-Jiménez, Ignacio J., A. Enrique Salvo, José C. Báez, Elena Bañares-España, Andreas Reul, and Antonio Flores-Moya. "North Atlantic Oscillation drives the annual occurrence of an isolated, peripheral population of the brown seaweedFucus guiryiin the Western Mediterranean Sea." PeerJ 5 (November 14, 2017): e4048. http://dx.doi.org/10.7717/peerj.4048.

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The canopy-forming, intertidal brown (Phaeophyceae) seaweedFucus guiryiis distributed along the cold-temperate and warm-temperate coasts of Europe and North Africa. Curiously, an isolated population develops at Punta Calaburras (Alboran Sea, Western Mediterranean) but thalli are not present in midsummer every year, unlike the closest (ca. 80 km), perennial populations at the Strait of Gibraltar. The persistence of the alga at Punta Calaburras could be due to the growth of resilient, microscopic stages as well as the arrival of few–celled stages originating from neighbouring localities, and tra

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LAVRUKHIN, Оleksander, Victor ZAPARA, Yaroslav ZAPARA, Olga SHAPATINA, and Ganna BOGOMAZOVA. "INVESTIGATION INTO THE BIMODAL TRANSPORTATION PROCESS BY MODELLING RAIL MODULE STATES." Transport Problems 12, no. 2 (2017). https://doi.org/10.20858/tp.2017.12.2.10.

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The bimodal transportation process, which takes into account the modelling of rail module states, has been studied. The article demonstrates marked graphs of rail module states with and without running gear change in operation. It has been established which states have the greatest impact on the probability of a steady mode. The work has considered fractality of arrivals and its range in the queueing system with priorities.

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Wang, Jingjing, Jesús Carrera, Maarten W. Saaltink, Jordi Petchamé‐Guerrero, Graciela S. Herrera, and Cristina Valhondo. "Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute Exchange." Water Resources Research 60, no. 11 (2024). http://dx.doi.org/10.1029/2023wr036872.

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AbstractBiofilm growth in porous media changes not only the hydrodynamic properties of the medium (reduction in porosity and permeability, and increase in dispersivity), but also the transport itself (breakthrough curves display increasingly fast first arrivals and long tails). These features are well reproduced by multicontinuum models (Multi‐Rate Mass Transfer, MRMT) which can be used to describe reactive transport in heterogeneous porous media and facilitate the simulation of reactions that are localized within biofilms. Here, we present a conceptual and numerical model of biochemical react

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Isaac, Obed Samuelraj, Omar Gharib Alshammari, Samuel David Clarke, and Samuel Edward Rigby. "Experimental investigation of blast mitigation of pre-fractal obstacles." International Journal of Protective Structures, December 9, 2022, 204141962211440. http://dx.doi.org/10.1177/20414196221144066.

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Obstacles arranged into a pre-fractal shape (Sierpinski carpet) were tested for their blast attenuation abilities using 250 g PE4 at three different scaled distances ( Z = 1.87, 2.24, 2.99 m/kg1/3). Three pre-fractal iterations were tested, as well as free-field tests for comparative purposes. Reductions in peak overpressure up to 26% and peak specific impulse up to 19% were observed, attributed to a mechanism known as ‘trapping’. This mechanism is characterised by a reduction in the ability of a blast wave to advect downstream, with corresponding increases in pressure observed within the boun

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Wang, Shuaifeng, Zixin Zhang, Xin Huang, and Qinghua Lei. "A Numerical Study of Elastic Wave Arrival Behavior in a Naturally Fractured Rock Based on a Combined Displacement Discontinuity-Discrete Fracture Network Model." Rock Mechanics and Rock Engineering, December 19, 2022. http://dx.doi.org/10.1007/s00603-022-03180-4.

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AbstractThe arrival behavior of elastic waves in a naturally fractured rock is studied based on numerical simulations. We use the discrete fracture network method to represent the distribution of a natural fracture system and employ the displacement discontinuity method to compute the propagation of elastic waves across individual fractures. We analyze macroscopic wavefield arrival properties collectively arising from the interaction between elastic waves and numerous fractures in the system. We show that the dimensionless angular frequency ῶ = ωZ/κ exerts a fundamental control on the arrival

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Chang, Ailian, Le Huang, Qian-Qian Li, Kambiz Vafai, and Minglu Shao. "Study on CO₂ transport in fractal porous media for a Hausdorff fractal derivative advection-dispersion model." International Journal of Numerical Methods for Heat & Fluid Flow, June 28, 2023. http://dx.doi.org/10.1108/hff-03-2023-0158.

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Purpose The classical advection-dispersion equation (ADE) model cannot accurately depict the gas transport process in natural geological formations. This paper aims to study the behavior of CO2 transport in fractal porous media by using an effective Hausdorff fractal derivative advection-dispersion equation (HFDADE) model. Design/methodology/approach Anomalous dispersion behaviors of CO2 transport are effectively characterized by the investigation of time and space Hausdorff derivatives on non-Euclidean fractal metrics. The numerical simulation has been performed with different Hausdorff fract

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Goel, Kretika, Monika Agrawal, and Subrat Kar. "SFA: A Robust Sparse Fractal Array for Estimating the Directions of Arrival of Signals." Circuits, Systems, and Signal Processing, August 1, 2024. http://dx.doi.org/10.1007/s00034-024-02792-1.

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Yang, Changwei, Kaiwen Zhang, Dongsheng Wu, et al. "Fractal Slope-Based Seismic Wave Detection Method." Bulletin of the Seismological Society of America, July 3, 2023. http://dx.doi.org/10.1785/0120220220.

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ABSTRACT Automatic P-wave arrival detection is the first task in an earthquake early warning systems. This study proposes a novel detection method for this based on a fractal slope (FS). We improved the calculation method of the fractal dimension to increase the calculation speed and proposed a continuous algorithm. Furthermore, we applied FS in conjunction with the short-term average over the long-term average (STA/LTA), named STA/LTA + FS. We designed orthogonal experiments with different parameters and selected a total of 40,020 sets of seismic waves from the Japanese dataset to test the be

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Zhao, Weigang, Shunli Jiang, Haoran Li, et al. "Low signal-to-noise ratio acoustic emission signal arrival time identification method based on fractal dimension ratio and AR-AIC combined algorithm." Ultrasonics, June 2025, 107740. https://doi.org/10.1016/j.ultras.2025.107740.

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Ho, Chun‐Ning, Pei‐Han Fu, Kuo‐Chuan Hung, et al. "Prediction of early postoperative pain using sleep quality and heart rate variability." Pain Practice, August 24, 2023. http://dx.doi.org/10.1111/papr.13288.

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AbstractPurposeAccurate predictions of postoperative pain intensity are necessary for customizing analgesia plans. Insomnia is a risk factor for severe postoperative pain. Moreover, heart rate variability (HRV) can provide information on the sympathetic–parasympathetic balance in response to noxious stimuli. We developed a prediction model that uses the insomnia severity index (ISI), HRV, and other demographic factors to predict the odds of higher postoperative pain.MethodsWe recruited gynecological surgery patients classified as American Society of Anesthesiologists class 1–3. An ISI question

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Huang, Xin, Huarong Ye, Yugang Hu, et al. "Ultrasound super-resolution imaging for non-invasive assessment of microvessel in prostate lesion." Cancer Imaging 25, no. 1 (2025). https://doi.org/10.1186/s40644-024-00819-z.

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Abstract Background Prostate cancer (PCa) is the leading cause of cancer-related morbidity and mortality in men worldwide. An early and accurate diagnosis is crucial for effective treatment and prognosis. Traditional invasive procedures such as image-guided prostate biopsy often cause discomfort and complications, deterring some patients from undergoing these necessary tests. This study aimed to explore the feasibility and clinical value of using ultrasound super-resolution imaging (US SRI) for non-invasively assessing the microvessel characteristics of prostate lesion. Methods This study incl

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Sherman, Lawrence D., James T. Niemann, Thomas D. Rea, John P. Rosborough, James D. Waters, and James J. Menegazzi. "Abstract P141: Electrocardiogram Waveform Analysis Reveals Probability of Return of Spontaneous Circulation in Both Swine and Human Subjects." Circulation 118, suppl_18 (2008). http://dx.doi.org/10.1161/circ.118.suppl_18.s_1475-d.

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Background: The Logarithm of the Absolute Correlations (LAC) is a measure which estimates VF duration based on the fractal dimension of the waveform. We hypothesized that the LAC measures the underlying physiology of the myocardium and would enable identification of those who would have return of spontaneous circulation (ROSC) in response to the initial shock. We tested this hypothesis in a swine model and among humans treated for out-of-hospital cardiac arrest Methods: 20 swine were placed in VF either by electrical stimulation (n=10) or through ischemia produced by percutaneous balloon occlu

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