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. Author manuscript; available in PMC: 2017 Aug 21.
Published in final edited form as: Phys Med Biol. 2016 Aug 1;61(16):6181–6202. doi: 10.1088/0031-9155/61/16/6181

Table 5.

Extra volumes irradiated considering the two scenarios shown in Figure 10

d = 1 cm R′−R = 1mm R′−R = 2mm R′−R = 5mm
R(cm) Δ*(cm3) δ**(cm3) δ(cm3) δ(cm3)
2 12.3 2.7 5.5 15.9
4 50.0 10.3 21.2 56.8
8 200.8 40.7 82.4 213.9
*

Δ=43πR3-π12(4R+d)×(2R-d)2

**

δ=46π(R3-R3)