Quantification of structural changes in acute inflammation by fractal dimension, angular second moment and correlation

Stanković, Marija; Pantić, Igor; Luka, Silvio R. De; Puskas, Nela; Zaletel, Ivan; Milutinović-Smiljanić, Sanja; Pantic, Senka; Trbovich, Alexander M.

doi:10.1111/jmi.12330

Cited by 25 publications

(16 citation statements)

References 27 publications

(35 reference statements)

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“…TMT decreases ENT values suggesting that overall increase in AMPase activity made tissue more homogeneous due to increase in expression and/or activity of eN in both glial cells and remaining synapses. Furthermore, post-intoxication increase in COR values corroborates image homogeneity due to increase in AMPase activity on synapses and glial cells, as COR measures gray-linear dependency of adjacent pixels (Stankovic et al, 2016). ROC analysis demonstrated high discriminatory power of GLCM parameters (Metz, 1978; Zweig & Campbell, 1993; Pantic et al, 2014), but since two analyzed regions have different patterns of AMPase activity we postulate that CON and INV are especially useful in analyzing this type of enzyme histochemistry.…”

Section: Discussionmentioning

confidence: 77%

Application of Gray Level Co-Occurrence Matrix Analysis as a New Method for Enzyme Histochemistry Quantification

et al. 2019

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Enzyme histochemistry is a valuable histological method which provides a connection between morphology, activity, and spatial localization of investigated enzymes. Even though the method relies purely on arbitrary evaluations performed by the human eye, it is still wildly accepted and used in histo(patho)logy. Texture analysis emerged as an excellent tool for image quantification of subtle differences reflected in both spatial discrepancies and gray level values of pixels. The current study of texture analysis utilizes the gray-level co-occurrence matrix as a method for quantification of differences between ecto-5′-nucleotidase activities in healthy hippocampal tissue and tissue with marked neurodegeneration. We used the angular second moment, contrast (CON), correlation, inverse difference moment (INV), and entropy for texture analysis and receiver operating characteristic analysis with immunoblot and qualitative assessment of enzyme histochemistry as a validation. Our results strongly argue that co-occurrence matrix analysis could be used for the determination of fine differences in the enzyme activities with the possibility to ascribe those differences to regions or specific cell types. In addition, it emerged that INV and CON are especially useful parameters for this type of enzyme histochemistry analysis. We concluded that texture analysis is a reliable method for quantification of this descriptive technique, thus removing biases and adding it a quantitative dimension.

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Section: Discussionmentioning

confidence: 77%

Application of Gray Level Co-Occurrence Matrix Analysis as a New Method for Enzyme Histochemistry Quantification

et al. 2019

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“…Thus, the overall morphologic complexity is measured by the fractal dimension (Bizzarri et al, 2011 ). Biological systems have been studied under the fractal perspective (Copley et al, 2012 ; Wedman et al, 2015 ; Lennon et al, 2016 ; Stankovic et al, 2016 ). There are reports suggesting that the fractal dimension discriminates between healthy and pathological conditions (Hiroshima et al, 2016 ; Zehani et al, 2016 ; Müller et al, 2017 ; Zhang et al, 2017 ; Popovic et al, 2018 ).…”

Section: Introductionmentioning

confidence: 99%

Atrial Rotor Dynamics Under Complex Fractional Order Diffusion

et al. 2018

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The mechanisms of atrial fibrillation (AF) are a challenging research topic. The rotor hypothesis states that the AF is sustained by a reentrant wave that propagates around an unexcited core. Cardiac tissue heterogeneities, both structural and cellular, play an important role during fibrillatory dynamics, so that the ionic characteristics of the currents, their spatial distribution and their structural heterogeneity determine the meandering of the rotor. Several studies about rotor dynamics implement the standard diffusion equation. However, this mathematical scheme carries some limitations. It assumes the myocardium as a continuous medium, ignoring, therefore, its discrete and heterogeneous aspects. A computational model integrating both, electrical and structural properties could complement experimental and clinical results. A new mathematical model of the action potential propagation, based on complex fractional order derivatives is presented. The complex derivative order appears of considering the myocardium as discrete-scale invariant fractal. The main aim is to study the role of a myocardial, with fractal characteristics, on atrial fibrillatory dynamics. For this purpose, the degree of structural heterogeneity is described through derivatives of complex order γ = α + jβ. A set of variations for γ is tested. The real part α takes values ranging from 1.1 to 2 and the imaginary part β from 0 to 0.28. Under this scheme, the standard diffusion is recovered when α = 2 and β = 0. The effect of γ on the action potential propagation over an atrial strand is investigated. Rotors are generated in a 2D model of atrial tissue under electrical remodeling due to chronic AF. The results show that the degree of structural heterogeneity, given by γ, modulates the electrophysiological properties and the dynamics of rotor-type reentrant mechanisms. The spatial stability of the rotor and the area of its unexcited core are modulated. As the real part decreases and the imaginary part increases, simulating a higher structural heterogeneity, the vulnerable window to reentrant is increased, as the total meandering of the rotor tip. This in silico study suggests that structural heterogeneity, described by means of complex order derivatives, modulates the stability of rotors and that a wide range of rotor dynamics can be generated.

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“…Also, IDM relates inversely to CON, while ASM is an opposite of ENT. COR measures the grey-linear dependency of neighboring pixels, where high COR indicates greater pixel similarity and low COR points towards irregularity in image texture [37]. Our results showed that nuclei of SA-β-Gal + cells, have higher values of ENT and CON than SA-β-Gal -cells, while ASM, IDM and COR of cell nuclei are higher in the SA-β-Gal -group.…”

Section: Discussionmentioning

confidence: 61%

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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Quantification of structural changes in acute inflammation by fractal dimension, angular second moment and correlation

Cited by 25 publications

References 27 publications

Application of Gray Level Co-Occurrence Matrix Analysis as a New Method for Enzyme Histochemistry Quantification

Application of Gray Level Co-Occurrence Matrix Analysis as a New Method for Enzyme Histochemistry Quantification

Atrial Rotor Dynamics Under Complex Fractional Order Diffusion

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

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