THE INFLUENCE OF SPATIAL RESOLUTION AND FIBER DENSITY ON THE FRACTAL DIMENSION OF CEREBRAL FIBER TRACTS

Gernot Reishofer, Fritz Studencnik, Karl Koschutnig, Hannes Deutschmann, Felix Gunzer, Eva Hassler, Stefan L. Leber and Guilherme Wood
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Gernot Reishofer: Medical University of Graz, Department of Radiology, Graz, Austria§BioTechMed Graz, Austria
Fritz Studencnik: Medical University of Graz, Department of Radiology, Graz, Austria
Karl Koschutnig: ��University of Graz, Department of Psychology, Graz, Austria
Hannes Deutschmann: ��Medical University of Graz, Department of Radiology, Division of Neuroradiology, Vascular and Interventional Radiology, Graz, Austria
Felix Gunzer: ��Medical University of Graz, Department of Radiology, Division of Neuroradiology, Vascular and Interventional Radiology, Graz, Austria
Eva Hassler: ��Medical University of Graz, Department of Radiology, Division of Neuroradiology, Vascular and Interventional Radiology, Graz, Austria
Stefan L. Leber: ��Medical University of Graz, Department of Radiology, Division of Neuroradiology, Vascular and Interventional Radiology, Graz, Austria
Guilherme Wood: ��University of Graz, Department of Psychology, Graz, Austria§BioTechMed Graz, Austria

FRACTALS (fractals), 2021, vol. 29, issue 07, 1-9

Abstract: The determination of the generalized fractal dimensions (FDs) from MRI tractograms is affected by image resolution and the number of fiber tracts. In this work, we demonstrate that only certain combinations of image resolution, number of fiber tracts and exponent of the generalized dimensions are able to capture structural changes in human cerebral white matter. MRI tractography was carried out for a different number of fiber tracts and was discretized on different grid sizes. Generalized FDs were evaluated for two groups of healthy subjects with different age distribution. For the box-counting dimension (q = 0) the highest difference between two age groups was found for a matrix size of 20483 pixel with a strong dependence on the number of fiber tracts. The correlation dimension found the highest differences for a resolution of 10243 pixel, largely independent of the number of fiber tracts. The correlation dimension evaluated for tractograms discretized on a 10243 grid is a robust measurement to capture structural changes in human cerebral white matter by means of FD.

Keywords: Fractal Analysis; Diffusion-Weighted Imaging (DWI); Tractography; Fiber Tracking; Aging (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:07:n:s0218348x21502327

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DOI: 10.1142/S0218348X21502327

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