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Topology and hemodynamics of the cortical cerebrovascular system.

Hirsch S, Reichold J, Schneider M, Székely G, Weber B - J. Cereb. Blood Flow Metab. (2012)

Bottom Line: In the first part, we present the current knowledge of the vascular anatomy.This is followed by a theory of topology and its application to vascular biology.We then discuss possible interactions between cerebral blood flow and vascular topology, before summarizing the existing body of the literature on quantitative cerebrovascular topology.

View Article: PubMed Central - PubMed

Affiliation: Computer Vision Laboratory, Federal Institute of Technology ETH, Zurich, Switzerland.

ABSTRACT
The cerebrovascular system continuously delivers oxygen and energy substrates to the brain, which is one of the organs with the highest basal energy requirement in mammals. Discontinuities in the delivery lead to fatal consequences for the brain tissue. A detailed understanding of the structure of the cerebrovascular system is important for a multitude of (patho-)physiological cerebral processes and many noninvasive functional imaging methods rely on a signal that originates from the vasculature. Furthermore, neurodegenerative diseases often involve the cerebrovascular system and could contribute to neuronal loss. In this review, we focus on the cortical vascular system. In the first part, we present the current knowledge of the vascular anatomy. This is followed by a theory of topology and its application to vascular biology. We then discuss possible interactions between cerebral blood flow and vascular topology, before summarizing the existing body of the literature on quantitative cerebrovascular topology.

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Related in: MedlinePlus

Extracted vessels from the rat somatosensory cortex retrieved from synchrotron radiation-based micro-CT with a resolution of 700 nm3. The network has been extracted by a standard procedure with skeletonization and subsequent distance transform to estimate the local radius. The vessels are color coded (log scale) according to their radius. (A) Feeding vessels down to 10 μm diameter and (B) capillary bed below 10 μm only. CT, computed tomography.
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fig7: Extracted vessels from the rat somatosensory cortex retrieved from synchrotron radiation-based micro-CT with a resolution of 700 nm3. The network has been extracted by a standard procedure with skeletonization and subsequent distance transform to estimate the local radius. The vessels are color coded (log scale) according to their radius. (A) Feeding vessels down to 10 μm diameter and (B) capillary bed below 10 μm only. CT, computed tomography.

Mentions: The graph representation is ideally suited for analyzing the structural properties of networks as it can handle them in a very efficient manner. Vascular systems can be regarded as being binary and containing only bifurcations, as higher degree nodes can be separated into immediately consecutive bifurcations. Generally, a vessel system is a connected component of both tree-like and network-like structures. Figure 7 shows how the intracortical vessel system can be decomposed into tree and network structures simply by imposing a diameter threshold.


Topology and hemodynamics of the cortical cerebrovascular system.

Hirsch S, Reichold J, Schneider M, Székely G, Weber B - J. Cereb. Blood Flow Metab. (2012)

Extracted vessels from the rat somatosensory cortex retrieved from synchrotron radiation-based micro-CT with a resolution of 700 nm3. The network has been extracted by a standard procedure with skeletonization and subsequent distance transform to estimate the local radius. The vessels are color coded (log scale) according to their radius. (A) Feeding vessels down to 10 μm diameter and (B) capillary bed below 10 μm only. CT, computed tomography.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3367227&req=5

fig7: Extracted vessels from the rat somatosensory cortex retrieved from synchrotron radiation-based micro-CT with a resolution of 700 nm3. The network has been extracted by a standard procedure with skeletonization and subsequent distance transform to estimate the local radius. The vessels are color coded (log scale) according to their radius. (A) Feeding vessels down to 10 μm diameter and (B) capillary bed below 10 μm only. CT, computed tomography.
Mentions: The graph representation is ideally suited for analyzing the structural properties of networks as it can handle them in a very efficient manner. Vascular systems can be regarded as being binary and containing only bifurcations, as higher degree nodes can be separated into immediately consecutive bifurcations. Generally, a vessel system is a connected component of both tree-like and network-like structures. Figure 7 shows how the intracortical vessel system can be decomposed into tree and network structures simply by imposing a diameter threshold.

Bottom Line: In the first part, we present the current knowledge of the vascular anatomy.This is followed by a theory of topology and its application to vascular biology.We then discuss possible interactions between cerebral blood flow and vascular topology, before summarizing the existing body of the literature on quantitative cerebrovascular topology.

View Article: PubMed Central - PubMed

Affiliation: Computer Vision Laboratory, Federal Institute of Technology ETH, Zurich, Switzerland.

ABSTRACT
The cerebrovascular system continuously delivers oxygen and energy substrates to the brain, which is one of the organs with the highest basal energy requirement in mammals. Discontinuities in the delivery lead to fatal consequences for the brain tissue. A detailed understanding of the structure of the cerebrovascular system is important for a multitude of (patho-)physiological cerebral processes and many noninvasive functional imaging methods rely on a signal that originates from the vasculature. Furthermore, neurodegenerative diseases often involve the cerebrovascular system and could contribute to neuronal loss. In this review, we focus on the cortical vascular system. In the first part, we present the current knowledge of the vascular anatomy. This is followed by a theory of topology and its application to vascular biology. We then discuss possible interactions between cerebral blood flow and vascular topology, before summarizing the existing body of the literature on quantitative cerebrovascular topology.

Show MeSH
Related in: MedlinePlus