### Source Description:

Dimensions for the Best 2301 source^{ 1,2 }are taken from the study by Sowards and Meigooni

^{1}and Rivard et al

^{2}. The 2301 source consists of a cylindrical tungsten marker 3.75 mm long with a diameter of 0.250 mm. In this study the ends of the marker are assumed to be hemispheres with 0.0125 mm radius (same as figure in TG-43U1

^{2}). The marker is coated with an organic matrix (assumed to be polystyrene with a density of 1.06 g/cm

^{3 }and a composition by weight of 7.74% H and 92.3% C) containing

^{ 125}I. For the purpose of these calculations the amount of

^{ 125}I present in the polystyrene is assumed to be negligible. The thickness of the coating is assumed to be 0.10 mm on the cylindrical surface as well as the round ends. The active element is encapsulated in a 0.080 mm thick titanium casing with an outer diameter of 0.80 mm. The end welds are assumed to be hemi-spherical shells with a thickness of 0.080 mm. The overall source length is 5.0 mm and the active length is 3.95 mm. The cylindrical source element is free to move approximately 0.445 mm along the seed axis and 0.07 mm radially from the center of the seed, however, we assume the marker is always centred. The mean photon energy calculated on the surface of the source is 28.39 keV with statistical uncertainties < 0.012%

### Dose-Rate Constant - Λ :

Dose-rate constants, Λ , are calculated by dividing the dose to water per history in a (0.1 mm)^{3 }voxel centered on the reference position, (1 cm,Π/2), in the 30x30x30 cm^{3 }water phantom, by the air-kerma strength per history (scored *in vacuo*). As described in ref. 3, dose-rate constants are provided for air-kerma strength calculated using voxels of 2.66x2.66x0.05 cm^{3 }(WAFAC) and 0.1x0.1x0.05 cm^{3 }(point) located 10 cm from the source. The larger voxel size averages the air-kerma per history over a region covering roughly the same solid angle subtended by the primary collimator of the WAFAC^{ 4,5 }at NIST used for calibrating low-energy brachytherapy sources and is likely the most clinically relevant value. The small voxel serves to estimate the air kerma per history at a point on the transverse axis and includes a small 1/r^{2} correction (0.5%) ^{3. }egs_brachy and BrachyDose MC uncertainties are only statistical uncertainties (k=1).

Author |
Method |
Λ (cGy h-1 U-1) |
Abs. Uncertainty |

Safigholi et al ^{6} |
WAFAC | 1.0012 | 0.0002 |

Safigholi et al ^{6} |
point | 0.9991 | 0.0014 |

Taylor, Rogers ^{ 7 } |
WAFAC | 0.998 | 0.002 |

Taylor, Rogers ^{ 7 } |
point | 1.002 | 0.003 |

Sowards, Meigooni ^{ 1 } |
point (PTRAN) | 1.01 | 0.03 |

Meigooni et al ^{8 } |
TLD | 1.01 | 0.08 |

Nath, Yue ^{9 } |
TLD | 1.02 | 0.07 |

Rodriguez, Rogers ^{10} |
TLD (Revised Meigooni) | 1.032 | 0.057 |

Rodriguez, Rogers ^{10} |
WAFAC (BrachyDose) | 0.999 | 0.002 |

Rivard et al ^{ 2 } |
TG43U1-Consensus Value | 1.018 |

### Radial dose function - g(r):

The radial dose function, g(r), is calculated using both line and point source geometry functions and tabulated at 36 different radial distances ranging from 0.05 cm to 10 cm. Fit parameters for a modified polynomial expression are also provided ^{ 11}. The mean residual deviations from the actual data for the best fit were < 0.08%.

*Click image for higher res version*

Fitting coefficients for g _{L} (r) = (a_{0} r^{-2} + a_{1} r^{-1} + a_{2} + a_{3}r + a_{4}r^{2} + a_{5} r^{3}) e^{-a6r} |
|||

Fit range |
Coefficients |
||

r _{min} (cm) |
r _{max} (cm) |
||

0.05 | 10.00 | a_{0} / cm^{2} |
(6.75+/-0.14)E-04 |

a_{1} / cm |
(-1.452+/-0.027)E-02 | ||

a_{2} |
(1.0594+/-0.0010)E+00 | ||

a_{3} / cm^{-1} |
(5.152+/-0.023)E-01 | ||

a_{4} / cm^{-2} |
(2.80+/-0.32)E-03 | ||

a_{5} / cm^{-3} |
(2.31+/-0.06)E-03 | ||

a_{6} / cm^{-1} |
(4.505+/-0.013)E-01 |

### Anisotropy function - F(r,θ):

Anisotropy functions are calculated using the line source approximation and tabulated at radii of 0.1, 0.15, 0.25, 0.5, 0.75, 1, 2, 3, 4, 5, 7.5 and 10 cm and 32 unique polar angles with a minimum resolution of 5 ^{ o } . The anisotropy factor, φ _{ an } (r), was calculated by integrating the solid angle weighted dose rate over 0 ^{ o } ≤ ϑ ≤ 90 ^{ o } .

*Click images for higher res versions*

### Tabulated data:

Tabulated data are available in .xlsx format: Excel

### References:

1. K. Sowards, A. S. Meigooni, A Monte Carlo evaluation of the dosimetric characteristics of the Best Model 2301 ^{ 125 } I brachytherapy source, Brachytherapy, pages, ** 57 ** ,327-333 , 2002 .

2. M. J. Rivard * et al * , Update of AAPM Task Group No. 43 Report: A revised AAPM protocol for brachytherapy dose calculations, Med. Phys., ** 31 ** , 633 - 674, 2004.

3. R. E. P. Taylor * et al * , Benchmarking BrachyDose: voxel-based EGSnrc Monte Carlo calculations of TG-43 dosimetry parameters, Med. Phys., ** 34 ** , 445 - 457, 2007.

4. R. Loevinger, Wide-angle free-air chamber for calibration of low--energy brachytherapy sources, Med. Phys., ** 20 ** , 907, 1993.

5. S. M Seltzer * et al * , New National Air-Kerma-Strength Standards for ^{ 125 } I and ^{ 103 } Pd Brachytherapy Seeds, J. Res. Natl. Inst. Stand. Technol., ** 108 ** , 337 - 358, 2003.

6. H. Safigholi, M. J. P. Chamberland, R. E. P. Taylor, C. H. Allen, M. P. Martinov, D. W. O. Rogers, and R. M. Thomson, Updated of the CLRP TG-43 parameter database for low-energy photon-emitting brachytherapy sources, to be published (Current calculation).

7. R.E.P. Taylor, D.W.O. Rogers, An EGSnrc Monte Carlo-calculated database of TG-43 parameters,Med.Phys., **35**, 4228-4241, 2008. 8. A. S. Meigooni * et al * , Experimental determination of dosimetric characteristics of Best ^{ 125 } I brachytherapy source, Med. Phys., ** 27 ** , 2168-2173, 2000.

9. R.Nath, N.Yue, Dosimetric characterization of an encapsulated interstitial brachytherapy source of ^{ 125}I on a tungsten substrate, Brachytherapy, ** 1,** 102-109, 2002.

10. M. Rodriguez and D. W. O. Rogers, Effect of improved TLD dosimetry on the determination of dose rate constants for ^{125}I and ^{103}Pd brachytherapy seeds, Med. Phys., 41, 114301, 2014. 11. R.E.P. Taylor, D. W. O. Rogers, More accurate fitting of ^{ 125 } I and ^{ 103 } Pd radial dose functions, Med. Phys., ** 35 ** , 4242-4250, 2008.