Oxygen advection and diffusion in a three-dimensional vascular anatomical network

Martinos Center for Biomedical Imaging, Massachusetts General Hospital, Charlestown, Massachusetts 02129, USA.
Optics Express (Impact Factor: 3.53). 11/2008; 16(22):17530-41. DOI: 10.1364/OE.16.017530
Source: PubMed

ABSTRACT There 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.

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Available from: Sava Sakadzic, Dec 20, 2013
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    • "The tissue source term can be specified locally (e.g., local CMRO2 can be prescribed when modeling oxygen transport) and influences the exchange between vasculature and tissue according to their relative positions in three-dimensional space. Recently, Fang and coworkers have proposed a similar approach (Fang et al, 2008), in which a tetrahedral mesh discretizes the vascular compartment. "
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