Fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.

The fractal dimension (FD) can be used as a measure for morphological complexity in biological systems. The aim of this study was to test the usefulness of this quantitative parameter in the context of cerebral vascular complexity. Fractal analysis was applied on ten patients with cerebral arteriove...

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Autores principales:	Gernot Reishofer, Karl Koschutnig, Christian Enzinger, Franz Ebner, Helmut Ahammer
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2012
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/63d7629d4f214bb8907ca088a2cd8fc6
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spelling	oai:doaj.org-article:63d7629d4f214bb8907ca088a2cd8fc62021-11-18T07:11:59ZFractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.1932-620310.1371/journal.pone.0041148https://doaj.org/article/63d7629d4f214bb8907ca088a2cd8fc62012-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/22815946/pdf/?tool=EBIhttps://doaj.org/toc/1932-6203The fractal dimension (FD) can be used as a measure for morphological complexity in biological systems. The aim of this study was to test the usefulness of this quantitative parameter in the context of cerebral vascular complexity. Fractal analysis was applied on ten patients with cerebral arteriovenous malformations (AVM) and ten healthy controls. Maximum intensity projections from Time-of-Flight MRI scans were analyzed using different measurements of FD, the Box-counting dimension, the Minkowski dimension and generalized dimensions evaluated by means of multifractal analysis. The physiological significance of this parameter was investigated by comparing values of FD first, with the maximum slope of contrast media transit obtained from dynamic contrast-enhanced MRI data and second, with the nidus size obtained from X-ray angiography data. We found that for all methods, the Box-counting dimension, the Minkowski dimension and the generalized dimensions FD was significantly higher in the hemisphere with AVM compared to the hemisphere without AVM indicating that FD is a sensitive parameter to capture vascular complexity. Furthermore we found a high correlation between FD and the maximum slope of contrast media transit and between FD and the size of the central nidus pointing out the physiological relevance of FD. The proposed method may therefore serve as an additional objective parameter, which can be assessed automatically and might assist in the complex workup of AVMs.Gernot ReishoferKarl KoschutnigChristian EnzingerFranz EbnerHelmut AhammerPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 7, Iss 7, p e41148 (2012)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Gernot Reishofer Karl Koschutnig Christian Enzinger Franz Ebner Helmut Ahammer Fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.
description	The fractal dimension (FD) can be used as a measure for morphological complexity in biological systems. The aim of this study was to test the usefulness of this quantitative parameter in the context of cerebral vascular complexity. Fractal analysis was applied on ten patients with cerebral arteriovenous malformations (AVM) and ten healthy controls. Maximum intensity projections from Time-of-Flight MRI scans were analyzed using different measurements of FD, the Box-counting dimension, the Minkowski dimension and generalized dimensions evaluated by means of multifractal analysis. The physiological significance of this parameter was investigated by comparing values of FD first, with the maximum slope of contrast media transit obtained from dynamic contrast-enhanced MRI data and second, with the nidus size obtained from X-ray angiography data. We found that for all methods, the Box-counting dimension, the Minkowski dimension and the generalized dimensions FD was significantly higher in the hemisphere with AVM compared to the hemisphere without AVM indicating that FD is a sensitive parameter to capture vascular complexity. Furthermore we found a high correlation between FD and the maximum slope of contrast media transit and between FD and the size of the central nidus pointing out the physiological relevance of FD. The proposed method may therefore serve as an additional objective parameter, which can be assessed automatically and might assist in the complex workup of AVMs.
format	article
author	Gernot Reishofer Karl Koschutnig Christian Enzinger Franz Ebner Helmut Ahammer
author_facet	Gernot Reishofer Karl Koschutnig Christian Enzinger Franz Ebner Helmut Ahammer
author_sort	Gernot Reishofer
title	Fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.
title_short	Fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.
title_full	Fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.
title_fullStr	Fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.
title_full_unstemmed	Fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.
title_sort	fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.
publisher	Public Library of Science (PLoS)
publishDate	2012
url	https://doaj.org/article/63d7629d4f214bb8907ca088a2cd8fc6
work_keys_str_mv	AT gernotreishofer fractaldimensionandvesselcomplexityinpatientswithcerebralarteriovenousmalformations AT karlkoschutnig fractaldimensionandvesselcomplexityinpatientswithcerebralarteriovenousmalformations AT christianenzinger fractaldimensionandvesselcomplexityinpatientswithcerebralarteriovenousmalformations AT franzebner fractaldimensionandvesselcomplexityinpatientswithcerebralarteriovenousmalformations AT helmutahammer fractaldimensionandvesselcomplexityinpatientswithcerebralarteriovenousmalformations
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Fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations.

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