Vascular graph model to simulate the cerebral blood flow in realistic vascular 
networks

Reichold, J; Stampanoni, M; Keller, AL; Buck, A; Jenny, P; Weber, B

doi:10.1038/jcbfm.2009.58

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Vascular graph model to simulate the cerebral blood flow in realistic vascular networks

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Keller, AL
Department Physiology of Cognitive Processes, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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https://journals.sagepub.com/doi/pdf/10.1038/jcbfm.2009.58
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Citation

Reichold, J., Stampanoni, M., Keller, A., Buck, A., Jenny, P., & Weber, B. (2009). Vascular graph model to simulate the cerebral blood flow in realistic vascular networks. Journal of Cerebral Blood Flow and Metabolism, 29(8), 1429-1443. doi:10.1038/jcbfm.2009.58.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-C377-5

Abstract

At its most fundamental level, cerebral blood flow (CBF) may be modeled as fluid flow driven through a network of resistors by pressure gradients. The composition of the blood as well as the cross-sectional area and length of a vessel are the major determinants of its resistance to flow. Here, we introduce a vascular graph modeling framework based on these principles that can compute blood pressure, flow and scalar transport in realistic vascular networks. By embedding the network in a computational grid representative of brain tissue, the interaction between the two compartments can be captured in a truly three-dimensional manner and may be applied, among others, to simulate oxygen extraction from the vessels. Moreover, we have devised an upscaling algorithm that significantly reduces the computational expense and eliminates the need for detailed knowledge on the topology of the capillary bed. The vascular graph framework has been applied to investigate the effect of local vascular dilation and occlusion on the flow in the surrounding network.