Table 1. Data and calculations of the probability of the spread of cancer cells.
Cancer | Population | Size range | Nominal tumour size (mm) | Cell number (N) | Manifestation of metasatasis | Fraction of patients with a manifestation of metastasis (L) (%) | Probability of spread (p=−ln(1−L)/N) |
---|---|---|---|---|---|---|---|
Breast cancer | Tabar et al | 10–14 | 12 | 9.05E+07 | Cancer death | 13 | 1/6.5 × 108 |
Breast cancer | Tabar et al | 15–19 | 17 | 2.57E+08 | Cancer death | 20 | 1/1.2 × 109 |
Breast cancer | Tabar et al | 20–29 | 25 | 8.18E+08 | Cancer death | 45 | 1/1.4 × 109 |
Breast cancer | Tabar et al | 30–49 | 39 | 3.11E+09 | Cancer death | 56 | 1/3.9 × 109 |
Breast cancer | Tubiana et al | 10–25 | 17 | 2.57E+08 | Cancer death | 27 | 1/8.2 × 108 |
Breast cancer | Tubiana et al | 26–35 | 30 | 1.41E+09 | Cancer death | 42 | 1/2.6 × 109 |
Breast cancer | Tubiana et al | 36–45 | 40 | 3.35E+09 | Cancer death | 55 | 1/4.1 × 109 |
Breast cancer | Tubiana et al | 46–55 | 50 | 6.54E+09 | Cancer death | 66 | 1/6.1 × 109 |
Breast cancer | Tubiana et al | 56–65 | 60 | 1.13E+10 | Cancer death | 78 | 1/7.4 × 109 |
Breast cancer | Tubiana et al | 66–75 | 70 | 1.80E+10 | Cancer death | 83 | 1/1.0 × 1010 |
Breast cancer | Tubiana et al | 76–85 | 80 | 2.68E+10 | Cancer death | 81 | 1/1.6 × 1010 |
Breast cancer | Tubiana et al | 86–95 | 90 | 3.82E+10 | Cancer death | 92 | 1/1.5 × 1010 |
Breast cancer | Van nuys | 10–14 | 12 | 9.05E+07 | Cancer death | 14 | 1/6.0 × 108 |
Breast cancer | Van nuys | 15–19 | 17 | 2.57E+08 | Cancer death | 28 | 1/7.8 × 108 |
Breast cancer | Van nuys | 20–29 | 25 | 8.18E+08 | Cancer death | 33 | 1/2.0 × 109 |
Breast cancer | Van nuys | 30–49 | 39 | 3.11E+09 | Cancer death | 46 | 1/4.0 × 109 |
Breast cancer | Van nuys | 15–19 | 17 | 2.57E+08 | Cancer in nodes | 32 | 1/6.7 × 108 |
Breast cancer | Van nuys | 20–24 | 22 | 5.58E+08 | Cancer in nodes | 39 | 1/1.1 × 109 |
Breast cancer | Van nuys | 25–29 | 27 | 1.03E+09 | Cancer in nodes | 39 | 1/2.1 × 109 |
Breast cancer | Van nuys | 30–34 | 32 | 1.72E+09 | Cancer in nodes | 50 | 1/2.5 × 109 |
Breast cancer | Van nuys | 35–39 | 37 | 2.65E+09 | Cancer in nodes | 54 | 1/3.4 × 109 |
Breast cancer | Van nuys | 40–44 | 42 | 3.88E+09 | Cancer in nodes | 63 | 1/3.9 × 109 |
Breast cancer | Van nuys | 45–50 | 47 | 5.44E+09 | Cancer in nodes | 54 | 1/7.1 × 109 |
Breast cancer | Van nuys | 50–54 | 52 | 7.36E+09 | Cancer in nodes | 59 | 1/8.3 × 109 |
Melanoma | Balch et al | — | 0.10 | 5.3E+01 | Cancer death | 11 | 1/480 |
Melanoma | Balch et al | — | 0.23 | 6.8E+02 | Cancer death | 9 | 1/7100 |
Melanoma | Balch et al | — | 0.37 | 2.6E+03 | Cancer death | 10 | 1/2.4 × 104 |
Melanoma | Balch et al | — | 0.44 | 4.3E+03 | Cancer death | 14 | 1/2.9 × 104 |
Melanoma | Balch et al | — | 0.50 | 6.7E+03 | Cancer death | 18 | 1/3.4 × 104 |
Melanoma | Balch et al | — | 0.60 | 1.2E+04 | Cancer death | 22 | 1/4.5 × 104 |
Melanoma | Balch et al | — | 0.70 | 1.8E+04 | Cancer death | 18 | 1/9.1 × 104 |
Melanoma | Balch et al | — | 0.84 | 3.1E+04 | Cancer death | 20 | 1/1.4 × 105 |
Melanoma | Balch et al | — | 0.91 | 3.9E+04 | Cancer death | 23 | 1/1.5 × 105 |
Melanoma | Balch et al | — | 0.97 | 4.8E+04 | Cancer death | 21 | 1/2.0 × 105 |
Melanoma | Balch et al | — | 1.11 | 7.1E+04 | Cancer death | 20 | 1/3.1 × 105 |
Melanoma | Balch et al | — | 1.17 | 8.5E+04 | Cancer death | 27 | 1/2.7 × 105 |
Melanoma | Balch et al | — | 1.31 | 1.2E+05 | Cancer death | 30 | 1/3.3 × 105 |
Melanoma | Balch et al | — | 1.38 | 1.4E+05 | Cancer death | 25 | 1/4.8 × 105 |
Melanoma | Balch et al | — | 1.51 | 1.8E+05 | Cancer death | 30 | 1/5.0 × 105 |
Melanoma | Balch et al | — | 1.58 | 2.1E+05 | Cancer death | 25 | 1/7.1 × 105 |
Melanoma | Balch et al | — | 1.71 | 2.6E+05 | Cancer death | 30 | 1/7.1 × 105 |
Melanoma | Balch et al | — | 1.85 | 3.3E+05 | Cancer death | 32 | 1/8.3 × 105 |
Melanoma | Balch et al | — | 1.88 | 3.5E+05 | Cancer death | 38 | 1/7.1 × 105 |
Melanoma | Balch et al | — | 1.98 | 4.1E+05 | Cancer death | 44 | 1/7.1 × 105 |
Melanoma | Balch et al | — | 2.11 | 4.9E+05 | Cancer death | 40 | 1/1.0 × 106 |
Melanoma | Balch et al | — | 2.25 | 6.0E+05 | Cancer death | 45 | 1/1.0 × 106 |
Melanoma | Balch et al | — | 2.52 | 8.3E+05 | Cancer death | 36 | 1/1.9 × 106 |
Melanoma | Balch et al | — | 2.72 | 1.1E+06 | Cancer death | 45 | 1/1.8 × 106 |
Melanoma | Balch et al | — | 3.02 | 1.4E+06 | Cancer death | 47 | 1/2.3 × 106 |
Melanoma | Balch et al | — | 3.39 | 2.0E+06 | Cancer death | 50 | 1/2.9 × 106 |
Melanoma | Balch et al | — | 3.72 | 2.7E+06 | Cancer death | 54 | 1/3.4 × 106 |
Melanoma | Balch et al | — | 4.26 | 4.1E+06 | Cancer death | 54 | 1/5.3 × 106 |
Melanoma | Balch et al | — | 4.73 | 5.5E+06 | Cancer death | 55 | 1/7.1 × 106 |
Melanoma | Balch et al | — | 5.27 | 7.7E+06 | Cancer death | 59 | 1/8.3 × 106 |
Melanoma | Balch et al | — | 5.77 | 1.0E+07 | Cancer death | 57 | 1/1.2 × 107 |
Melanoma | Balch et al | — | 6.74 | 1.6E+07 | Cancer death | 63 | 1/1.6 × 107 |
Melanoma | Balch et al | — | 7.75 | 2.4E+07 | Cancer death | 65 | 1/2.3 × 107 |
Melanoma | Balch et al | — | 12.32 | 9.8E+07 | Cancer death | 76 | 1/6.7 × 107 |