Multifractal analysis of embryonic eye structures from female mice with dietary folic acid deficiency. Part I: Fractal dimension, lacunarity, divergence, and multifractal spectrum

Sijilmassi, Ouafa; Alonso, José-Manuel López; Sevilla, Aurora Del Río; Asensio, Miguel A.

doi:10.1016/j.chaos.2020.109885

Cited by 8 publications

(4 citation statements)

References 38 publications

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“…This may be due to increase in protein aggregates or highly concentrated proteins in lens fiber cells, and it would be compatible with previous findings where we showed an alteration in the expression and arrangement of ECM proteins. [28,29,40,41] It is known that cataractogenesis is caused by light scattering due to random fluctuations in the refractive index. [42] These fluctuations may occur because of differences in the structure of the lens fiber cells involving alterations in the cell membrane, minimal changes in intercellular spacing, changes of structure within the cytoplasm or protein aggregation.…”

Section: Resultsmentioning

confidence: 99%

Development of a polarization imaging method to detect paraffin‐embedded pathology tissues before applying other techniques

Sijilmassi

López-Alonso²,

Sevilla

et al. 2020

Journal of Biophotonics

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Section: Resultsmentioning

confidence: 99%

Development of a polarization imaging method to detect paraffin‐embedded pathology tissues before applying other techniques

Sijilmassi

López-Alonso²,

Sevilla

et al. 2020

Journal of Biophotonics

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“…ere are two forms of multifractal spectrum symmetry, namely, (1) "left-skewed shape," in which r is less than 1, indicating large fluctuations in the data, and "right-skewed shape," where r is much greater than 1; in this case, small fluctuations play an important role in the data [17].…”

Section: Basic Eory Of Multifractal Eorymentioning

confidence: 99%

“…Monofractal and multifractal structures can describe the irregularity of the vibration signal as a whole and reflect the local characteristics of vibration signal more precisely [16]. Furthermore, the variation of dynamic nonlinear multifractal parameters has been used to quantitatively describe complex systems, especially in climate change, earthquake warning, and rock mass instability [17,18]. However, few writers have been able to draw on any systematic research into the multifractal dynamic identification of damaged concrete using AE.…”

Section: Introductionmentioning

confidence: 99%

Multifractal Analysis and Compressive Strength Prediction for Concrete through Acoustic Emission Parameters

Jiang

Jin

et al. 2021

Advances in Civil Engineering

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Acoustic emission (AE) can be applied to identify crack propagation and damage of materials and structures. However, few studies investigate the multifractal regularity and compressive strength prediction for concrete using AE parameters. Therefore, the major objective of this research is to perform multifractal analysis of damage and develop support vector machine (SVM) for strength prediction based on AE parameters. Meanwhile, fuzzy c-means (FCM) was implemented to identify damage mechanisms. The results showed that the level of damage can be revealed qualitatively and quantitatively by analyzing morphology and parameters of multifractal. In particular, the multifractal parameter α0 has the ability to identify critical damage and primary failure surface. Moreover, damage mechanisms were further distinguished by FCM. Finally, the results showed that the parameters of AE can further expand the application of AE for predicting compressive of concrete. SVM prediction results using AE parameters perform higher precision than the artificial neural network (ANN). Furthermore, a significant reduction in sample size uses AE parameters to predict concrete strength.

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“…The multifractal theory has been used to investigate the uniformity of pore spatial distribution in cement paste [26,27]. The spectral width is generally introduced to describe the uniformity of different materials [28][29][30], which is an effective means to quantitatively characterize the pore spatial distribution uniformity of concrete. Thus, it is interesting to study the influence of the uniformity of pore spatial distribution on the mechanical behavior of concrete by the multifractal theory.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Stochastic Circular Pores on Splitting Tensile Behavior of Concrete Based on the Multifractal Theory

Wang,

Tao

2023

Fractal Fract

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Concrete naturally contains a large number of circular-like stochastic pores which weaken the tensile strength of concrete and change the crack propagation path. This study investigates the influences of the size distribution and the spatial distribution of stochastic pores on the fracture behavior of concrete based on the splitting tensile test. The mesoscale model of concrete containing coarse aggregate, mortar, interface transition zone (ITZ), and circular pores is established to simulate the crack initiation, propagation, and coalescence of concrete. Concrete samples with a single hole are prepared to verify the effectiveness of the numerical simulation method. Numerical tests are conducted on numerous mesoscale concrete samples with various porosities, pore size distributions, and pore spatial distributions. The numerical simulation results indicate that the tensile strength decreases with the increase of pore size at the same porosity. Based on multifractal theory, a quantitative indicator to describe the spatial distribution uniformity of concrete stochastic pores is proposed. There is a positive correlation between the spatial distribution uniformity of stochastic pores and the tensile strength. The stochastic circular pores can have a profound effect on the concrete’s fracture pattern, which results in three typical macro-crack patterns in the numerical simulation of the splitting tensile test. The presented results deepen the understanding of the influence of stochastic circular pores on the tensile mechanical properties of concrete and provide a reference for the design of concrete structures.

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Multifractal analysis of embryonic eye structures from female mice with dietary folic acid deficiency. Part I: Fractal dimension, lacunarity, divergence, and multifractal spectrum

Cited by 8 publications

References 38 publications

Development of a polarization imaging method to detect paraffin‐embedded pathology tissues before applying other techniques

Development of a polarization imaging method to detect paraffin‐embedded pathology tissues before applying other techniques

Multifractal Analysis and Compressive Strength Prediction for Concrete through Acoustic Emission Parameters

The Effects of Stochastic Circular Pores on Splitting Tensile Behavior of Concrete Based on the Multifractal Theory

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