Oxygen advection and diffusion in a three- dimensional vascular anatomical network.
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.
Fang
Qianqian
Q
Martinos Center for Biomedical Imaging, Massachusetts General Hospital, Charlestown, Massachusetts 02129, USA.
Sakadzić
Sava
S
Ruvinskaya
Lana
L
Devor
Anna
A
Dale
Anders M
AM
Boas
David A
DA
D000818:Animals; D001783:Blood Flow Velocity; D001794:Blood Pressure; D001808:Blood Vessels / Q000033:anatomy & histology* / Q000502:physiology; D004058:Diffusion; D021621:Imaging, Three-Dimensional; D010100:Oxygen / Q000502:physiology*; D010313:Partial Pressure; D051381:Rats; D017207:Rats, Sprague-Dawley; D015203:Reproducibility of Results
D010100:Oxygen