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pubmed-article:18958033pubmed:abstractTextThere is an increasing need for quantitative and computationally affordable models for analyzing tissue metabolism and hemodynamics in microvascular networks. In this work, we develop a hybrid model to solve for the time-varying oxygen advection-diffusion equation in the vessels and tissue. To obtain a three-dimensional temporal evolution of tissue oxygen concentration for realistic complex vessel networks, we used a graph-based advection model combined with a finite-element based diffusion model and an implicit time-advancing scheme. We validated this algorithm for both static and dynamic conditions. We also applied it to a complex vascular network obtained from a rodent somatosensory cortex. Qualitative agreement was found with in-vivo experiments.lld:pubmed
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pubmed-article:18958033pubmed:articleTitleOxygen advection and diffusion in a three- dimensional vascular anatomical network.lld:pubmed
pubmed-article:18958033pubmed:affiliationMartinos Center for Biomedical Imaging, Massachusetts General Hospital, Charlestown, Massachusetts 02129, USA.lld:pubmed
pubmed-article:18958033pubmed:publicationTypeJournal Articlelld:pubmed
pubmed-article:18958033pubmed:publicationTypeResearch Support, U.S. Gov't, Non-P.H.S.lld:pubmed
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