Table 4 Fitting parameters of the power laws \({\text{ODG}} = {\upalpha } \times {\text{SSDE}}^{{\upbeta }}\) and \({\text{ODG}} = {\upgamma } \times {\text{d}}^{{\updelta }}\). These fitting parameters were assessed grouping all patients of each cohort. The functional correlation using the adopted power law for SSDE and d for inside, peripheral, distributed and outside organs dose groups are shown. The fitting parameters were calculated using the Levenberg–Maquardt Method incorporated in the software Origin® 2020
\(\mathbf{O}\mathbf{D}\mathbf{G}=\boldsymbol{\alpha }\times {\mathbf{S}\mathbf{S}\mathbf{D}\mathbf{E}}^{{\varvec{\beta}}}\) | \(\mathbf{O}\mathbf{D}\mathbf{G}={\varvec{\gamma}}\times {{\varvec{d}}}^{{\varvec{\delta}}}\) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
Inside | Peripheral | Distributed | Outside | Inside | Peripheral | Distributed | Outside | |||
Abdomen-pelvis | α | 6.25×10-1 | 6.21×10-2 | 5.98×10-2 | 3.07×10-3 | γ | 3.16×10-4 | 6.29×10-6 | 2.89×10-5 | 8.61×10-8 |
β | 1.14 | 1.13 | 1.16 | 1.14 | δ | 3.17 | 3.63 | 3.20 | 4.02 | |
Chest | α | 1.71×10-1 | 2.87×10-1 | 6.39×10-2 | 4.95×10-2 | γ | 1.46×10-5 | 1.02×10-4 | 1.88×10-5 | 4.30×10-5 |
β | 1.36 | 1.23 | 1.29 | 1.22 | δ | 3.73 | 3.21 | 3.32 | 2.95 | |