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A model to simulate the oxygen distribution in hypoxic tumors for different vascular architectures
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10.1118/1.4812431
/content/aapm/journal/medphys/40/8/10.1118/1.4812431
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/40/8/10.1118/1.4812431
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Three types of vascular architecture: (a) point-like vessels, (b) parallel linear vessels (in a 3D view and a 2D-projection), and (c) linear vessels in 3D.

Image of FIG. 2.
FIG. 2.

Distributions of parallel linear vessels: completely randomly distributed pattern (a) and partially randomly distributed pattern with σ = 0 (b), σ = IVD/10 (c) and σ = IVD (d).

Image of FIG. 3.
FIG. 3.

Simulated oxygen distributions and histograms for different vascular architectures (top: point-like vessels; middle: parallel linear vessels; bottom: linear vessels in 3D) and vascular fractions (1%, 4%, and 7%, from left to right). The 2D oxygenation maps have an area of 1 × 1 mm and the colored scale goes from 0 to 40 mmHg, as indicated in the upper left figure. The grey bins in the histograms mark the HF. Note: For visualization, representative images of the oxygen distribution were selected. Error bars of the bins of the histograms indicate the standard deviation of repeated simulations (n = 20).

Image of FIG. 4.
FIG. 4.

Simulated oxygenation histograms for the parallel line architectures of different heterogeneity (top: completely random; middle: partially random with σ = IVD; bottom: partially random with σ = IVD/4) and different vascular fractions (1%, 4%, and 7% from left to right). The grey bins in the histograms mark the HF. Error bars indicate the standard deviation of repeated simulations (n = 20).

Image of FIG. 5.
FIG. 5.

Intervessel distance distributions for the parallel line architecture assuming different heterogeneities (completely random and partially random distributed with σ = IVD and IVD/4, respectively) and vascular fractions (1%, 4%, and 7% from left to right) for the vessels distribution. To increase statistics, a larger reference volume of 12 × 12 mm instead of 1 × 1 mm was used for the simulation.

Image of FIG. 6.
FIG. 6.

Simulated oxygenation maps and histograms for different types of hypoxia: (a) chronic hypoxia alone, and additional impact of (b) ischemic hypoxia and (c) hypoxemic hypoxia. The grey bins in the histograms mark the HF. Note: For all three cases the same vessel distribution was assumed.

Image of FIG. 7.
FIG. 7.

The continuous line shows the measured IVD distribution of a murine carcinoma [data points taken from Konerding (Ref. )] while the dotted line represents the IVD distribution generated by our model for the same mean IVD (corresponding to a vascular fraction of 0.2%) and using the completely random approach to define the heterogeneity.

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/content/aapm/journal/medphys/40/8/10.1118/1.4812431
2013-07-08
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A model to simulate the oxygen distribution in hypoxic tumors for different vascular architectures
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/40/8/10.1118/1.4812431
10.1118/1.4812431
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