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CELLDOSE: A Monte Carlo Code to Assess Electron Dose Distribution—S Values for 131I in Spheres of Various Sizes

Christophe Champion, Paolo Zanotti-Fregonara and Elif Hindié
Journal of Nuclear Medicine January 2008, 49 (1) 151-157; DOI: https://doi.org/10.2967/jnumed.107.045179

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Tables

  • TABLE 1

    Fraction of Electron Energy Retained in Each Sphere and S Values: Comparison with S Values Reported by Goddu et al. and by Bardiès and Chatal

    Sphere radius (μm)Sphere diameter (μm)Fraction of energy retained in sphereS value (Gy Bq−1s−1): this workS value: Goddu et al. (12,13)*Comparison with present work†S value: Bardiès and Chatal (14)‡Comparison with present work§
    0.050.14.3 × 10−42.51 × 101
    0.10.26.81 × 10−44.82
    0.512.13 × 10−31.22 × 10−1
    123.42 × 10−32.42 × 10−22.53 × 10−2+4.5%
    5101.18 × 10−26.70 × 10−46.5 × 10−4−3%
    10202.15 × 10−21.55 × 10−41.45 × 10−4−6.5%1.61 × 10−4+3.9%
    15303.02 × 10−26.53 × 10−56.93 × 10−5+6.1%
    501008.73 × 10−25.08 × 10−65.38 × 10−6+5.9%
    1002001.53 × 10−11.12 × 10−61.03 × 10−6−8%1.2 × 10−6+7.1%
    1503002.11 × 10−14.55 × 10−74.91 × 10−7+7.9%
    2004002.62 × 10−12.39 × 10−72.16 × 10−7−9.6%2.59 × 10−7+8.4%
    3006003.5 × 10−19.47 × 10−81.03 × 10−7+8.8%
    5001,0004.92 × 10−12.86 × 10−82.8 × 10−8−2.1%3.11 × 10−8+8.7%
    1,5003,0007.84 × 10−11.69 × 10−91.77 × 10−9+4.7%
    2,5005,0008.71 × 10−14.07 × 10−104.01 × 10−10−1.5%4.17 × 10−10+2.5%

    • ↵* Data from Goddu et al.: for radii 1, 5, and 10 μm (12); for the other spheres (13).

    • ↵† Result of Goddu et al. minus our result, divided by our result.

    • ↵‡ Data from Bardiès and Chatal (14).

    • ↵§ Result of Bardiès and Chatal, minus our result, divided by our result.

  • TABLE 2

    Comparison of S Values in This Work with S Values of Li et al.

    Sphere radius (μm)Sphere diameter (μm)S value (Gy Bq−1s−1): present workS value: Li et al. (7)*Comparison with present work†
    0.050.12.51 × 101
    0.10.24.82
    0.511.22 × 10−1
    122.42 × 10−2
    5106.70 × 10−46.8 × 10−4+1.5%
    15306.53 × 10−57.2 × 10−5+10.3%
    501005.08 × 10−65.5 × 10−6+8.3%
    1503004.55 × 10−74.9 × 10−7+7.7%
    5001,0002.86 × 10−83.1 × 10−8+8.4%
    1,5003,0001.69 × 10−91.8 × 10−9+6.5%

    • ↵* Data from Li et al. based on (7).

    • ↵† Result of Li et al., minus our result, divided by our result.

  • TABLE 3

    Dose Distribution Inside a Sphere of 500 μm Radius Containing a Homogeneous Distribution of 131I

    Distance from center (spheric shells of 10 μm)Relative dose (average sphere dose as reference)Percentage of dose compared with dose at center (%)
    Center (0; 10 μm)1.32100%
    90; 100 μm1.398.5%
    190; 200 μm1.2695.5
    290; 300 μm1.1788.6
    390; 400 μm1.0277.3
    400; 410 μm175.8
    410; 420 μm0.97774
    420; 430 μm0.95272.1
    430; 440 μm0.92570
    440; 450 μm0.89567.8
    450; 460 μm0.86265.3
    460; 470 μm0.82562.5
    470; 480 μm0.78259.2
    480; 490 μm0.72955.2
    490; 500 μm0.65749.8
  • TABLE 4

    Relative Contribution to S Values from β−-Particles, Auger Electrons, and Internal Conversion Electrons

    Sphere radius (μm)Sphere diameter (μm)Fraction of energy retained in sphereAuger contribution (%)CE contribution (%)β− contribution (%)
    0.050.14.3 × 10−476.81.222
    0.10.26.81 × 10−468.71.629.7
    0.512.13 × 10−348.62.848.6
    123.42 × 10−336.53.659.9
    5101.18 × 10−213.46.180.6
    10202.15 × 10−28.5784.5
    501008.73 × 10−22.59.188.4
    1002001.53 × 10−11.47.291.4
    5001,0004.94 × 10−10.454.794.9
    2,5005,0008.71 × 10−10.254.894.9

    • CE = conversion electron.

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