Modified Richardson's method versus the box-counting method in neuroscience

Zaletel, Ivan; Ristanović, Dušan; Stefanović, Bratislav D.; Puškaš, Nela

doi:10.1016/j.jneumeth.2015.01.013

Cited by 27 publications

(30 citation statements)

References 11 publications

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“…The number decreases when it is compacted, disappearing from the propagation directions or when the analysed phenomenon goes into decline, shrinking. l Analysis-Kolmogorov Complexity al analysis has been used since the 1980s as a tool to understand the complexity of the d has been applied in spatial analysis to study the phenomenon of urban agglomeration t dynamics [32] or economic phenomena [33]. It can be compared to classical approaches to ctal analysis such as Ruler Dimension [34,35] BoxCounting [31,[36][37][38], Dilation Dimension ass Dimension [40], Local Connected Fractal Dimension [41], Perimeter-Area Dimension formation Dimension [44], Minkowski Dimension [45], Multifractal Dimension [46,47] or ractal Fragmentation Index [48][49][50].…”

Section: Sholl Analysismentioning

confidence: 99%

The Use of Sholl and Kolmogorov Complexity Analysis in Researching on the Sustainable Development of Creative Economies in the Development Region of Bucharest‒Ilfov, Romania

et al. 2019

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Nowadays, creative economies stand as a relevant indicator of the sustainable development of local and regional ones. The study aims to highlight the spatial behaviour of creative economies in the Bucharest‒Ilfov Development Region, the most dynamic and complex regional economy in Romania. In order to assess the spatial dynamics of creative economies in the region, an economic database was created, at the level of the territorial administrative unit, for the two economic indicators considered important for the study, number of employees and turnover, under the auspices of the Classification of National Economy Activities (NACE). The establishment of creative economies was made following the Government Decision no. 859 of 2014, with 66 codes for this sector. Annual cartographic models were developed for each indicator in QGIS (a free and open–source cross–platform desktop geographic information system application that supports viewing, editing, and analysis of geospatial data), for the period 2000–2016. For a relevant analysis of spatial behaviour, we used Sholl and Kolmogorov complexity, which highlighted specific patterns of spatial dynamics that help us to understand the role of creative economies in the sustainable development of regional economies. The results highlighted the role of accessibility corridors in the development of the regional economy.

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Section: Sholl Analysismentioning

confidence: 99%

The Use of Sholl and Kolmogorov Complexity Analysis in Researching on the Sustainable Development of Creative Economies in the Development Region of Bucharest‒Ilfov, Romania

et al. 2019

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“…By default, the box sizes for counting the fractal dimension using the ImageJ software are 2, 3, 4, 6,8,12,16,32,64. In this paper, the box sizes were 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, obtained as an increasing geometric progression 2 n where n = 0, 1, 2…10, as also used in our previous papers [9,19].…”

Section: Theory/calculationmentioning

confidence: 99%

“…It is widely used in several different areas of biological and medical sciences, such as neuroscience [8][9][10][11], histological diagnosis and quantification of neoplasms [12][13][14][15], blood vessels changes [16,17], assessment of cell aging [18] and many others. New methods and modifications of fractal analysis are also being discovered [19], thus allowing this mathematical method to be applied in different areas of natural sciences. Unlike fractal analysis, gray level co-occurrence matrix (GLCM) texture analysis can be used in biomedical research to analyze texture features of histological images and also to quantify structural changes in cells and tissues [20,21].…”

Section: Introductionmentioning

confidence: 99%

Fractal and gray level co-occurrence matrix texture analysis of senescent and non-senescent deciduous teeth stem cells: A pilot study

Zaletel¹,

Milošević²,

Todorovic³

et al. 2016

Fractal Geometry and Nonlinear Anal in Med and Biol

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All cells in the human organism, including stem cells, have a limited lifespan and cease to divide after a certain number of divisions. The process of cellular senescence refers to incapability to progress through the cell cycle, thus leading the cell to an irreversible growth arrest. One of the most common biomarkers of cell senescence is senescence-associated β-galactosidase (SA-β-Gal/SABG), a lysosomal enzyme detectable at pH = 6.0. However, the proper identification of senescent cells is still insufficient and lacks adequate quantification parameters. In this paper we showed that fractal and gray level co-occurrence matrix (GLCM) texture analysis of cell nuclei are able to discriminate senescent from non-senescent cells. A total of 105 images of DTSCs nuclei from both SA-β-Gal+ and SA-β-Gal-cells were used in this study. All of the computed parameters (fractal dimension, angular second moment, inverse difference moment, contrast, entropy and correlation) showed significant statistical difference between the nuclei of senescent and non-senescent stem cells (p < 0.001). Our results show the possible practical value of fractal and GLCM texture analysis as the new markers in the determination and quantification of DTSCs senescence.

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“…Through the use of fractal dimension, it is possible to quantify the irregularity and complexity of structures in biological systems (10). It is widely used in many different areas of biomedical sciences, such as neurosciences (11)(12)(13), tumor and liver pathology (14-16) and many other areas where the use of image analysis is necessary (17,18).…”

Section: Introductionmentioning

confidence: 99%