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Scaling Laws for Branching Vessels of Human Cerebral Cortex
Scaling Laws for Branching Vessels of Human Cerebral Cortex
- Source :
- Microcirculation. 16:331-344
- Publication Year :
- 2009
- Publisher :
- Wiley, 2009.
-
Abstract
- Vascular architecture, particularly of cerebral microvessels, has profound implications for both health and disease in a variety of areas, such as neuroimaging, angiogenesis and development, Alzheimer's disease, and vascular tumors. We analyzed the architecture of tree-like vessels of the human cerebral cortex.Digital three-dimensional images of the microvascular network were obtained from thick sections of India ink-injected human brain by confocal laser microscopy covering a large zone of secondary cortex. A novel segmentation method was used to extract the skeleton and measure the diameter at every vertex.In this paper, we focus on the topology of the cortical tree-like vessels. Using stem-crown decomposition, power-scaling laws were shown to govern the relationships between integrated parameters, such as the distal cumulative length, volume, or normalized flow. This led us toward an experimental confirmation of the allometric equation between mass and metabolic rate. Inversely, the power-law model did not match the relationships between local parameters, such as diameter, and integrated ones. As a consequence, Murray's law did not appropriately model the architecture of cerebrovascular bifurcations.This study provides a unique, large database and mathematical characterization that may prove valuable for modeling the cerebral.
- Subjects :
- Models, Anatomic
Scaling law
Databases, Factual
Physiology
Angiogenesis
Confocal
Biology
Microcirculation
Imaging, Three-Dimensional
Neuroimaging
Physiology (medical)
medicine
Humans
Segmentation
Molecular Biology
Cerebral Cortex
Models, Cardiovascular
Anatomy
Human brain
Metabolism
medicine.anatomical_structure
Cerebral cortex
Cerebrovascular Circulation
Blood Vessels
Cardiology and Cardiovascular Medicine
Blood Flow Velocity
Subjects
Details
- ISSN :
- 15498719 and 10739688
- Volume :
- 16
- Database :
- OpenAIRE
- Journal :
- Microcirculation
- Accession number :
- edsair.doi.dedup.....1cbe1f3d11299c2a9bbde3edf08d408b
- Full Text :
- https://doi.org/10.1080/10739680802662607