Morphology and Fractal-Based Classifications of Neurons and Microglia

Karperien, Audrey; Jelinek, Herbert F.

doi:10.1007/978-1-4939-3995-4_6

Cited by 3 publications

(1 citation statement)

References 85 publications

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“…Mathematical description of long-range correlation corresponds to the divergence of correlation function integration when the size of data becomes infinitely long [20]. It has been exhibited that various time series extracted from biological systems, including electrocardiography (ECG) [21,22], electroencephalography (EEG) [23][24][25][26][27][28][29][30][31][32][33][34][35], signal neuron discharge [36] and human gait [37] behave as scale-invariant processes. The power-law scaling studies have shown the of the behaviors in the complex biological systems [38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Long-range temporal correlation in Auditory Brainstem Responses to Spoken Syllable/da/

Mozaffarilegha

Movahed

2019

Sci Rep

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The speech auditory brainstem response (sABR) is an objective clinical tool to diagnose particular impairments along the auditory brainstem pathways. We explore the scaling behavior of the brainstem in response to synthetic /da/ stimuli using a proposed pipeline including Multifractal Detrended Moving Average Analysis (MFDMA) modified by Singular Value Decomposition. The scaling exponent confirms that all normal sABR are classified into the non-stationary process. The average Hurst exponent is H = 0:77 ± 0:12 at 68% confidence interval indicating long-range correlation which shows the first universality behavior of sABR. Our findings exhibit that fluctuations in the sABR series are dictated by a mechanism associated with long-term memory of the dynamic of the auditory system in the brainstem level. The q-dependency of h(q) demonstrates that underlying data sets have multifractal nature revealing the second universality behavior of the normal sABR samples. Comparing Hurst exponent of original sABR with the results of the corresponding shuffled and surrogate series, we conclude that its multifractality is almost due to the long-range temporal correlations which are devoted to the third universality. Finally, the presence of long-range correlation which is related to the slow timescales in the subcortical level and integration of information in the brainstem network is confirmed.

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Section: Introductionmentioning

confidence: 99%

Long-range temporal correlation in Auditory Brainstem Responses to Spoken Syllable/da/

Mozaffarilegha

Movahed

2019

Sci Rep

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Morphological, fractal, and textural features for the blood cell classification: the case of acute myeloid leukemia

et al. 2021

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Fractal analysis of concurrently prepared latex rubber casts of the bronchial and vascular systems of the human lung

Essay

Maina

2020

Open Biol.

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Fractal geometry (FG) is a branch of mathematics that instructively characterizes structural complexity. Branched structures are ubiquitous in both the physical and the biological realms. Fractility has therefore been termed nature's design. The fractal properties of the bronchial (airway) system, the pulmonary artery and the pulmonary vein of the human lung generates large respiratory surface area that is crammed in the lung. Also, it permits the inhaled air to intimately approximate the pulmonary capillary blood across a very thin blood–gas barrier through which gas exchange to occur by diffusion. Here, the bronchial (airway) and vascular systems were simultaneously cast with latex rubber. After corrosion, the bronchial and vascular system casts were physically separated and cleared to expose the branches. The morphogenetic (Weibel's) ordering method was used to categorize the branches on which the diameters and the lengths, as well as the angles of bifurcation, were measured. The fractal dimensions ( D F ) were determined by plotting the total branch measurements against the mean branch diameters on double logarithmic coordinates (axes). The diameter-determined D F values were 2.714 for the bronchial system, 2.882 for the pulmonary artery and 2.334 for the pulmonary vein while the respective values from lengths were 3.098, 3.916 and 4.041. The diameters yielded D F values that were consistent with the properties of fractal structures (i.e. self-similarity and space-filling). The data obtained here compellingly suggest that the design of the bronchial system, the pulmonary artery and the pulmonary vein of the human lung functionally comply with the Hess–Murray law or ‘the principle of minimum work’.

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Morphology and Fractal-Based Classifications of Neurons and Microglia

Cited by 3 publications

References 85 publications

Long-range temporal correlation in Auditory Brainstem Responses to Spoken Syllable/da/

Long-range temporal correlation in Auditory Brainstem Responses to Spoken Syllable/da/

Morphological, fractal, and textural features for the blood cell classification: the case of acute myeloid leukemia

Fractal analysis of concurrently prepared latex rubber casts of the bronchial and vascular systems of the human lung

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