Figure 1

Figure 2

Figure 3

Figure 4
![Average differences δD¯m${{\overline{\delta D}}_{m}}$and δD¯w${{\overline{\delta D}}_{w}}$between calculated and measured doses in the bone density equivalent (BDE) part of the CIRS Thorax phantom, as a function of the volumes of the simulated “water cylinders” (see Figure 2 and Table 3). δD¯m${{\overline{\delta D}}_{m}}$and δD¯w${{\overline{\delta D}}_{w}}$are presented as individual values/points calculated using Eqs. [1] to[4], and in the form of two analytical functions from Eqs. [9] and [10]. Error bars represent corresponding uncertainties within 95% confidence limits.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647355d44e662f30ba53aa4b/j_raon-2020-0051_fig_004.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20251106%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20251106T232055Z&X-Amz-Expires=3600&X-Amz-Signature=72a66680eb3abdc8f254745369cd43a56ac50529218b7e07bca92d5ecd1c3500&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Differences δDm$\delta {{D}_{m}}$and δDw$\delta {{D}_{w}}$between two different calculation options in the Monaco ver_ 5_11_ treatment planning systems (TPS) and measured data obtained in the bone density equivalent (BDE) part of the CIRS Thorax phantom, according to Eqs_ [1] and [2]_ Two phantom assemblies and three simple beam setups were considered for this part of the study
| Irradiation geometry (field, gantry) | Phantom assembly | ||
|---|---|---|---|
| (6+8) x 15 cm2 | standard BDE insert with the ionization chamber placed in the BDE part of the phantom | - 2.9 | 2.9 |
| non-standard Water equivalent insert with the ionization chamber placed in the BDE part of the phantom | - 0.7 | - 0.2 | |
| (3+8) x 15 cm2 | standard BDE insert with the ionization chamber placed in the BDE part of the phantom | - 3.0 | 5.1 |
| non-standard Water equivalent insert with the ionization chamber placed in the BDE part of the phantom | - 0.7 | - 0.1 | |
| (4+10) x 15 cm2 | standard BDE insert with the ionization chamber placed in the BDE part of the phantom | - 5.7 | 5.4 |
| non-standard Water equivalent insert with the ionization chamber placed in the BDE part of the phantom | 0.5 | 1.3 |
Mean differences, δD¯m${{\overline{\delta D}}_{m}}$and δD¯w${{\overline{\delta D}}_{w}}$between calculated and measured doses in the bone density equivalent (BDE) part of the CIRS Thorax phantom for Dm and Dw calculation approaches, respectively_ The absorbed doses were calculated using the Monaco ver_ 5_11 treatment planning systems (TPS) in the center of delineated “water cylinders” of volume V, in the BDE part of the phantom_ Corresponding combined uncertainties are denoted as uc,m and uc,w for dose-to-medium and dose-to-water calculation options, respectively
| V [cm3] | uc,m[%] | uc,w[%] | ||
|---|---|---|---|---|
| 0 | - 3.9 | 2.1 | 4.4 | 1.9 |
| 0.035 | - 2.6 | 1.5 | 2.5 | 1.9 |
| 0.141 | - 1.4 | 1.3 | 1.8 | 1.7 |
| 0.279 | - 0.3 | 1.2 | 1.2 | 1.5 |
| 0.573 | 0.3 | 1.4 | 0.4 | 1.3 |
Irradiation set-ups for measurements in 6 MV photon beam used for experimental verification of the Monaco ver_ 5_11 treatment planning systems (TPS) calculation algorithm in the semi-anthropomorphic CIRS Thorax phantom_ Reference and measuring points (I1 to I10) are shown in the last two columns; subscripts 1 to 10 correspond to the labelling in Figure 1
| Set-up | Irradiation geometry | Field size [cm2] | SSD/SAD | Gantry angle [°] | reference point | measuring points |
|---|---|---|---|---|---|---|
| 1 | Single square fields | 10×10 | SSD | 0 | I5 | I1, I3, I5-10 |
| 2 | 10×10 | SAD | 0 | I5 | I, I, I135-10 | |
| 3 | 4×4 | SAD | 0 | I5 | I1-9 | |
| 4 | 10×10 | SAD | 90 | I3 | I2-10 | |
| 5 | Rectangular field | 10× 15 | SAD | 300 | I1 | I1, I4, I6-8, I10 |
| 6 | Single asymmetric fields | (6+8)×15 | SAD | 0 | I5 | I1-10 |
| 7 | (3+8)×15 | SAD | 90 | I5 | I, I15-10 | |
| 8 | (4+10)×15 | SAD | 180 | I5 | I1-3, I5-10 | |
| 9 | (3+7)×15 | SAD | 300 | I5 | I2-10 | |
| 12×10 | SAD | 0 | ||||
| 10 | 4 fields (box) | 12×10 | SAD | 180 | I5 | I2-5 |
| 12×8 | SAD | 90 | ||||
| 12×8 | SAD | 270 | ||||
| 4×4 | SAD | 30 | ||||
| 11 | 3 fields | 16×4 | SAD | 90 | I5 | I2, I5-9 |
| 16×4 | SAD | 270 | ||||
| 12 | Diamond-shaped field | 14×14 | SAD | 0 | I3 | I1, I3, I5-10 |
| 13 | Irregular L shaped field | / | SAD | 45 | I1 | I1-2, I4-6, I8-10 |
| 14 | MLC cylinder shaped field | / | SAD | 0 | I2 | I1,2, I5, I8,9, I10 |
| 16×4 | SAD | 90 | ||||
| 15 | 3 non-coplanar fields | 16×4 | SAD | 270 | I5 | I1, I5-6, I8, I10 |
| 4×4 Couch angle = 270° | SAD | 30 |