A statistical model of the penetrating arterioles and venules in the human cerebral cortex

Objective Models of the cerebral microvasculature are required at many different scales in order to understand the effects of microvascular topology on CBF. There are, however, no data‐driven models at the arteriolar/venular scale. In this paper, we develop a data‐driven algorithm based on available...

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Bibliographic Details
Published in:Microcirculation (New York, N.Y. 1994) N.Y. 1994), 2016-10, Vol.23 (7), p.580-590
Main Authors: El-Bouri, Wahbi K., Payne, Stephen J.
Format: Article
Language:English
Subjects:
Algorithms
Arterioles - anatomy & histology
Arterioles - physiology
cerebral blood flow
Cerebral Cortex - blood supply
Cerebrovascular Circulation - physiology
Computer Simulation
Hemodynamics
Humans
microcirculation
microvasculature
Microvessels - anatomy & histology
Models, Statistical
Murray's law
vascular resistance
Venules - anatomy & histology
Venules - physiology
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Summary:Objective Models of the cerebral microvasculature are required at many different scales in order to understand the effects of microvascular topology on CBF. There are, however, no data‐driven models at the arteriolar/venular scale. In this paper, we develop a data‐driven algorithm based on available data to generate statistically accurate penetrating arterioles and venules. Methods A novel order‐based density‐filling algorithm is developed based on the statistical data including bifurcating angles, LDRs, and area ratios. Three thousand simulations are presented, and the results validated against morphological data. These are combined with a previous capillary network in order to calculate full vascular network parameters. Results Statistically accurate penetrating trees were successfully generated. All properties provided a good fit to experimental data. The k exponent had a median of 2.5 and an interquartile range of 1.75‐3.7. CBF showed a standard deviation ranging from ±18% to ±34% of the mean, depending on the penetrating vessel diameter. Conclusions Small CBF variations indicate that the topology of the penetrating vessels plays only a small part in the large regional variations of CBF seen in the brain. These results open up the possibility of efficient oxygen and blood flow simulations at MRI voxel scales which can be directly validated against MRI data.
ISSN:1073-9688
1549-8719
DOI:10.1111/micc.12318