Multifractal approach for a biological porous media: Human dentin case

Lung cancer is the leading cause of cancer deaths. The use of computational methods to quantify changes not perceptible to the human eye is growing in digital pathology imaging, improving detection rates quickly and at low cost. Therefore, the present study aims to use computational complex shape markers as tools for automated analysis of the spatial distribution of cells in microscopic images of squamous cell lung carcinoma (SqCC). Photomicrographs from pathology glass slides in the database LC25000 were used. The fractal dimension and lacunarity of the lung cell nuclei statistically changed in SqCC compared to the control. The multifractal analysis showed a significant difference in Dq, α, and f(α) for all values of q (-10 to + 10), with a greater increase for more positive q values. The number of cells, circularity, area, and perimeter also changed in SqCC images. However, the parameters aspect ratio, roundness, and solidity did not show statistical differences between the SqCC and benign tissue. The complex shape markers with the greatest changes in this study were the f(α) value in multifractality (53%) and lacunarity (41%). In conclusion, the automated quantification of the spatial distribution of cell nuclei can be a fast, low-cost tool for evaluating the microscopic characteristics of SqCC; therefore, the complex shape markers could be useful methods for software and artificial intelligence to detect lung carcinoma.

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Multifractal Analysis of 3D Correlated Nanoporous Networks

Carrizales-Velazquez,

Felipe,

Guzmán-Vargas

et al. 2024

Fractal Fract

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In this study, we utilize Monte Carlo methods and the Dual Site-Bond Model (DSBM) to simulate 3D nanoporous networks with various degrees of correlation. The construction procedure is robust, involving a random exchange of sites and bonds until the most probable configuration (equilibrium) is reached. The resulting networks demonstrate different levels of heterogeneity in the spatial organization of sites and bonds. We then embark on a comprehensive multifractal analysis of these networks, providing a thorough characterization of the effect of the exchanges of nanoporous elements and the correlation of pore sizes on the topology of the porous networks. Our findings present compelling evidence of changes in the multifractality of these nanoporous networks when they display different levels of correlation in the site and bond sizes.

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Multifractal approach for a biological porous media: Human dentin case

Cited by 3 publications

References 51 publications

Complex shape markers can detect alterations in the spatial distribution of cell nuclei in human lung squamous cell carcinoma: a useful tool for automatic analysis?

Complex shape markers can detect alterations in the spatial distribution of cell nuclei in human lung squamous cell carcinoma: a useful tool for automatic analysis?

Complex shape markers can detect alterations in the spatial distribution of cell nuclei in human lung squamous cell carcinoma: a useful tool for automatic analysis?

Multifractal Analysis of 3D Correlated Nanoporous Networks

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