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Results: 7

1.
Fig. 1

Fig. 1. From: Oxygen Advection and Diffusion in a Three Dimensional Vascular Anatomical Network.

The decomposition of the problem domain.

Qianqian Fang, et al. Opt Express. ;16(22):17530-17541.
2.
Fig. 6

Fig. 6. From: Oxygen Advection and Diffusion in a Three Dimensional Vascular Anatomical Network.

The 3D rendering (left, Media 3, View 2) and cross-sections (right) of the PO2 distributions in the vessel and tissue.

Qianqian Fang, et al. Opt Express. ;16(22):17530-17541.
3.
Fig. 7

Fig. 7. From: Oxygen Advection and Diffusion in a Three Dimensional Vascular Anatomical Network.

The tissue PO2 versus distance from a vessel wall of a few selected (a) arterioles, (b) capillaries and (c) venules. Different colors represent different vessels selected for this test.

Qianqian Fang, et al. Opt Express. ;16(22):17530-17541.
4.
Fig. 2

Fig. 2. From: Oxygen Advection and Diffusion in a Three Dimensional Vascular Anatomical Network.

Model validations with a single vessel: (a) PO2 distribution across an X-Y plane along the vessel; (b-d) PO2 along the vessel for different values of (b) blood velocity, (c) hematocrit, and (d) oxygen consumption.

Qianqian Fang, et al. Opt Express. ;16(22):17530-17541.
5.
Fig. 5

Fig. 5. From: Oxygen Advection and Diffusion in a Three Dimensional Vascular Anatomical Network.

The (a) median velocity, (b) blood pressure and (c) partial pressure of oxygen versus vessel diameter compared with experimental data from the literature. The experimental data in panel (a-b) were derived from [33] and (c) from [34].

Qianqian Fang, et al. Opt Express. ;16(22):17530-17541.
6.
Fig. 4

Fig. 4. From: Oxygen Advection and Diffusion in a Three Dimensional Vascular Anatomical Network.

Anatomical vessel network extracted from two-photon scans of a rodent somatosensory cortex. (a) Raw image (Media 1, View 1). (b-d) Top view projections of the 3D maps of (b) vessel types: arterioles - red, venules - blue, and capillaries - green, (c) blood velocity, and (d) PO2 inside the vessel network (Media 2).

Qianqian Fang, et al. Opt Express. ;16(22):17530-17541.
7.
Fig. 3

Fig. 3. From: Oxygen Advection and Diffusion in a Three Dimensional Vascular Anatomical Network.

Validation of dynamic processes with a single vessel. (a) PO2 profiles along the vessel at 20 ms intervals for isolated advection. The modeled PO2 profile is given by the solid line. The star represents the expected advancement of oxygen pressure profile of 8 μm/s. (b) Tissue PO2 evolution for validation of vessel wall permeability. The dots and dashed line show our model results for Kw and Kw/2 respectively, and the solid line is the analytic prediction. (c) Tissue PO2 profiles at different times for validation of diffusion (see text for more details). The solid line is the analytic solution of the diffusion equation and dots and dashed line are our model results for DO2 and DO2/2 respectively.

Qianqian Fang, et al. Opt Express. ;16(22):17530-17541.

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