Research Article

New Cancer Stochastic Models Involving Both Hereditary and Nonhereditary Cancer Cases: A New Approach

Table 1

The SEER incidence data (1973–2007) of uveal melanoma from NCI/NIH (over all races and genders).

Age
groups
Number
of people
at risk
Observed
incidence
Model-F
predicated
Model-1
predicated
Two-stage
predicated

0 12,495,777 34 36 36 38
1 12,221,582 20 11 11 16
2 12,120,990 14 7 8 17
3 12,112,995 9 5 6 18
4 12,146,174 4 4 5 20
5 12,161,336 3 3 4 22
6 12,111,854 2 2 4 25
7 12,160,452 2 2 4 28
8 11,942,586 2 2 4 30
9 12,381,299 1 2 5 34
10 12,512,703 2 3 6 38
11 12,410,338 5 3 6 41
12 12,449,244 2 3 6 44
13 12,527,781 5 4 7 48
14 12,602,883 3 5 7 51
15 12,719,598 5 5 8 55
16 12,766,107 7 6 9 59
17 12,831,400 9 7 9 62
18 12,382,047 8 7 9 63
19 12,581,638 10 8 10 68
20 12,636,509 7 9 11 71
21 12,682,601 6 10 10 75
22 12,840,510 12 11 11 79
23 13,075,528 17 13 13 84
24 13,358,635 16 15 14 89
25 13,473,849 12 16 16 94
26 13,426,340 17 18 18 97
27 13,525,264 28 20 20 101
28 13,149,674 17 22 21 102
29 13,812,811 23 25 25 110
30 13,886,874 24 28 27 114
31 13,488,332 37 30 29 115
32 13,460,286 32 32 32 118
33 13,256,067 38 35 35 119
34 13,428,827 37 39 38 124
35 13,220,037 40 41 41 126
36 12,870,265 30 44 44 126
37 12,689,592 43 47 47 127
38 12,157,014 42 49 49 125
39 12,494,081 46 55 54 131
40 12,272,125 49 58 58 132
41 11,826,573 56 61 60 130
42 11,663,153 54 65 64 131
43 11,407,082 53 68 68 131
44 11,296,848 70 73 72 133
45 11,016,369 57 76 76 132
46 10,651,593 71 79 79 130
47 10,475,708 87 84 83 131
48 9,994,684 82 86 85 127
49 10,138,908 78 93 93 131
50 9,836,359 87 97 96 130
51 9,475,641 95 100 99 127
52 9,250,985 113 104 104 126
53 9,027,382 106 108 108 125
54 8,883,737 117 113 113 125
55 8,547,883 129 116 116 123
56 8,279,648 107 119 119 121
57 8,062,368 119 123 123 119
58 7,654,610 132 124 124 115
59 7,563,706 118 130 129 115
60 7,232,719 131 131 130 112
61 6,927,332 116 132 132 109
62 6,708,273 133 134 134 107
63 6,543,931 143 138 137 106
64 6,404,652 130 141 141 105
65 6,168,486 145 142 142 102
66 5,913,479 138 142 142 99
67 5,746,766 151 144 144 98
68 5,480,517 147 142 142 94
69 5,363,912 149 144 144 94
70 5,110,728 136 142 142 90
71 4,925,076 144 141 141 88
72 4,696,825 140 138 138 85
73 4,512,136 146 135 135 82
74 4,345,300 126 133 133 80
75 4,148,801 122 128 129 78
76 3,900,900 124 122 122 74
77 3,681,587 114 116 116 70
78 3,481,918 93 110 110 67
79 3,243,631 102 102 102 63
80 2,961,234 79 92 93 58
81 2,724,984 93 83 84 54
82 2,495,219 82 75 75 50
83 2,271,595 92 66 67 46
84 2,041,351 64 57 58 42
85 10,466,605 304 282 285 216

Note 1: for age 0 and 1–10 years old, the cancer incidence are derived by subtracting incidence of retinoblastoma from the original SEER data (see Tan and Zhou [9]).
Note 2: the observed uveal melanoma incidence rates per 106 individuals are derived from the SEER eye cancer incidence by subtracting retinoblastoma incidence as given in Tan and Zhou [9].