Obtaining Mean DS86 Doses for the T65DR Cohort
For the reasons fully discussed in Chapters 5 and 6, we propose to use the new DS86 dosimetry by leaving the T65DR dose-cohorts intact, and simply providing each cohort with the appropriate DS86 mean dose in addition to its T65DR mean dose. By contrast, the approach taken so far by RERF to using the new dosimetry, as shown below, would leave no continuity between the DS86 cohorts and the study's previous cohorts.RERF's Way of Using the DS86 Dosimetry :
Table 10-A shows how RERF plans to redistribute Hiroshima survivors into new cohorts, and Table 10-B shows how RERF plans to redistribute Nagasaki survivors into new cohorts. Tables 10-A and 10-B refer to RERF's "DS86 Subcohort" of 75,991 survivors (see our Table 5-B), not to the full 91,231 study-sample (see our Table 5-A, 1950-1982).
The distribution of individuals in the T65DR system is shown on the lefthand side, in ten rows (because RERF is subdividing two of the eight Dose-Groups). The distribution of persons in the new cohorts is shown in ten columns. We are not responsible for the slight disparities between Table 5-B and these tables. The disparities originate with RERF.
To illustrate what Tables 10-A and 10-B are showing about the discontinuity of proposed cohorts, we will examine Hiroshima Dose-Group 4 in Table 10-A. In the new subcohort of 75,991 persons, 2,670 individuals remain in the T65DR Hiroshima Group 4 (lefthand side).
But these 2,670 individuals will not stay together as a cohort, after RERF's proposed handling. Instead, with RERF's approach, the New Group 4 will have 2,911 members (see center of the bottom row) -- and only 1,806 of the 2,911 members will come from the previous Group 4. The vertical column entitled "New Group 4" shows that 291 members will come from the previous Group 3-B, and 1,806 members will come from the previous Group 4, and 814 members will come from the previous Group 5.
All the vertical columns in Tables 10-A and 10-B show similar alteration of the T65DR cohorts.
Tables 10-A and 10-B make it clear that RERF is using the shielded kerma-ranges (for instance, 1-5 rads, 6-9 rads, 10-19 rads, 20-49 rads, 50-99 rads, etc.) as the basis for composing its totally new cohorts for the DS86 database. But no need exists to treat these particular dose-ranges as inviolable. Treating them this way means sacrificing the continuity of the study's cohorts, the continuity of their prior cancer-counts, the continuity of their true mean ages ATB, and the continuity of their male-female ratios, while saving only the continuity of something which has no importance at all -- the arbitrary dividing-lines in the shielded kerma dose-range.
Our Way of Using the DS86 Dosimetry :
The "constant-cohort, dual-dosimetry" approach, proposed in Chapter 6, begins here, by answering the question: "After the individuals who compose a T65DR cohort have each been assigned a new DS86 dose by RERF, what is the new average dose -- in the DS86 system -- for the original group of people?
The key to obtaining DS86 doses for the full, unaltered T65DR cohorts lies in Tables 10-A and 10-B, where the crucial parts are Columns A and B. These columns show both the mean T65DR and the mean DS86 shielded kerma-doses for the same people. That dose-correspondence is the key.
The entries for Column A come directly from TR-12-87, Appendix Table 2, p.42. Neutrons and gammas are shown separately. The entries for Column B are calculated from the entries to their right, which are supplementary information provided by RERF at our request (see Chapter 7 and Tables 26-N and 26-"O" in this book).
Partial versus Full Cohorts :
Table 10-C, which assembles the needed entries from Tables 9-B, 10-A, and 10-B, performs the next step in obtaining DS86 kerma-doses for the full, unaltered T65DR cohorts.
Because Tables 10-A and 10-B come from the partial cohorts, their Columns B (mean shielded kerma-values in the DS86 dosimetry) should not be directly matched with Table 9-B's T65DR kerma values, which come from the full cohorts.
Table 10-C uses straight-forward proportion to adjust the DS86 kerma-doses from Tables 10-A and 10-B so that they can be properly paired with the T65DR kerma-doses from Table 9-B for the full cohorts. Note 1 of Table 10-C provides the details.
The operation in Table 10-C incorporates the approximation that the T65DR-DS86 dose-correspondence, shown for 75,991 study-participants in Tables 10-A and 10-B, will be similar for the 15,240 persons who do not yet have any DS86 dose.
This approximation cannot affect our findings in the T65DR dosimetry at all, of course. Moreover, it will be quite surprising if the future DS86 doses, for the 15,240 persons presently without them, are so "out of line" that they can appreciably alter any of the findings in this book with respect to the DS86 dosimetry. Whenever we receive the missing information from Dr. Thiessen at RERF, we can check this assumption. During preparation of this analysis, RERF provided no DS86 data beyond its "subcohort."
DS86 Version of T65DR Tables 9-B and 9-C :
Table 10-D uses the entries from Table 10-C, Columns F and J, to present the DS86 shielded kerma-doses for the full T65DR cohorts, in the format which is directly comparable to T65DR Table 9-B.
Table 10-E takes the DS86 mean shielded kerma-values from Table 10-D, and converts them into mean internal organ-doses. This is done by using the appropriate DS86 body transmission-factors and the neutron RBE factor of 20. Details are in the Notes of Table 10-E. Table 10-E is the DS86 counterpart of T65DR Table 9-C.
Constant Cohorts with Dual Dosimetry :
With Table 10-E plus Table 9-C (from the previous chapter), we end up with mean internal whole-body doses for the same cohorts of people, in both the T65DR and DS86 dosimetries.
Table 10-F demonstrates how we use simple proportions to obtain DS86 doses for all 160 rows of the Master Table 26-A,B,C,D.
==================================================================================================================== | OLD AND NEW DOSES IN THE OLD | RERF'S PROPOSED REDISTRIBUTION OF THE SAME 51,390 PERSONS INTO NEW COHORTS. | | T65DR COHORTS (51,390 PERSONS). | NEW NEW NEW NEW NEW NEW NEW NEW NEW NEW | | | GRP GRP GRP GRP GRP GRP GRP GRP GRP GRP | | RERF Col.A | Col.B | 1 2-A 2-B 3-A 3-B 4 5 6 7 8 | | DOSE- T65DR | DS86 | | | GROUPS (cGy) | (cGy) | 0 1-5 6-9 10- 20- 50- 100- 200- 300- 400+ | | All doses in cGy 19 49 99 199 299 399 | | =============================================================================================================== | | GROUP 1 25244 PERSONS 20346 4898 | | n = 0.0 | n = 0.00 | 0 n 0.0 n | | | | | | | | | | g = 0.0 | g = 0.16 | 0 g 0.8 g | | =============================================================================================================== | | GROUP 2-A 8903 PERSONS 7716 1074 113 | | n = 0.0 | n = 0.00 | 0.0 n 0.0 n 0.1 n | | | | | | | | g = 2.0 | g = 3.23 | 2.7 g 6.2 g 10.9 g | | =============================================================================================================== | | GROUP 2-B 1984 PERSONS 130 1631 221 2 | | n = 2.0 | n = 0.09 | 0.0 n 0.1 n 0.1 n 0.2 n | | | | | | | g = 6.0 | g = 7.78 | 4.8 g 7.4 g 12.2 g 19.5 g | | =============================================================================================================== | | GROUP 3-A 4904 PERSONS 1 671 3668 564 | | n = 3.0 | n = 0.12 | 0.1 n 0.1 n 0.1 n 0.3 n | | | | | | | g = 11.0 | g = 13.90 | 5.0 g 8.2 g 13.5 g 23.3 g | | =============================================================================================================== | | GROUP 3-B 4684 PERSONS 358 4035 291 | | n = 6.0 | n = 0.52 | 0.3 n 0.5 n 1.1 n | | | | | | g = 26.0 | g = 31.12 | 17.2 g 30.5 g 56.8 g | | =============================================================================================================== | | GROUP 4 2670 PERSONS 806 1806 58 | | n = 13.0 | n = 1.38 | 1.0 n 1.5 n 2.7 n | | | | | g = 57.0 | g = 57.39 | 41.4 g 63.0 g 104.8 g | | =============================================================================================================== | | GROUP 5 1642 PERSONS 814 819 9 | | n = 30.0 | n = 3.23 | 2.4 n 4.0 n 7.7 n | | | | g = 109.0 | g = 101.75 | 79.2 g 123.1 g 199.1 g | | =============================================================================================================== | | GROUP 6 595 PERSONS 475 118 2 | | n = 55.0 | n = 6.78 | 6.1 n 9.4 n 14.2 n | | | g = 188.0 | g = 165.47 | 151.0 g 221.6 g 290.7 g | | =============================================================================================================== | | GROUP 7 328 PERSONS 63 214 51 | | n = 89.0 | n = 11.01 | 8.1 n 10.8 n 15.5 n | | | g = 257.0 | g = 230.05 | 168.7 g 228.6 g 311.9 g | | =============================================================================================================== | | GROUP 8 436 PERSONS 7 142 114 173 | | n = 140.0 | n = 22.34 | 8.7 n 13.0 n 18.2 n 33.3 n| | g = 383.0 | g = 362.86 | 182.6 g 245.9 g 323.5 g 492.1 g| | =============================================================================================================== | | BOTH TOTALS = 51,390 PERSONS. 20346 12745 3376 4360 5407 2911 1422 483 167 173 | ====================================================================================================================
===================================================================================================================
| OLD AND NEW DOSES IN THE OLD | RERF'S PROPOSED REDISTRIBUTION OF THE SAME 24,601 PERSONS INTO NEW COHORTS. |
| T65DR COHORTS (24,601 PERSONS).| NEW NEW NEW NEW NEW NEW NEW NEW NEW NEW |
| | GRP GRP GRP GRP GRP GRP GRP GRP GRP GRP |
| RERF Col.A | Col.B | 1 2-A 2-B 3-A 3-B 4 5 6 7 8 |
| DOSE- T65DR | DS86 | |
| GROUPS (cGy) | (cGy) | 0 1-5 6-9 10- 20- 50- 100- 200- 300- 400+ |
| All doses in cGy 19 49 99 199 299 399 |
|=================================================================================================================|
| GROUP 1 9431 PERSONS 9431 |
| n = 0.0 | n = 0.00 | 0 n | | | | | | | | | |
| g = 0.0 | g = 0.00 | 0 g |
|=================================================================================================================|
| GROUP 2-A 8744 PERSONS 4495 4249 |
| n = 0.0 | n = 0.00 | 0 n 0.0 n | | | | | | | | |
| g = 2.0 | g = 0.44 | 0 g 0.9 g |
|=================================================================================================================|
| GROUP 2-B 1069 PERSONS 1069 |
| n = 0.0 | n = 0.00 | 0.0 n | | | | | | | | |
| g = 7.0 | g = 2.50 | 2.5 g |
|=================================================================================================================|
| GROUP 3-A 1702 PERSONS 1124 506 72 |
| n = 0.0 | n = 0.00 | 0.0 n 0.0 n 0.0 n | | | | | | |
| g = 14.0 | g = 5.33 | 4.3 g 6.8 g 11.1 g |
|=================================================================================================================|
| GROUP 3-B 1165 PERSONS 5 247 676 237 |
| n = 0.0 | n = 0.02 | 0.0 n 0.0 n 0.0 n 0.1 n | | | | | |
| g = 31.0 | g = 14.95 | 5.2 g 8.1 g 14.1 g 24.7g |
|=================================================================================================================|
| GROUP 4 953 PERSONS 64 805 84 |
| n = 0.0 | n = 0.20 | 0.1 n 0.2 n 0.3 n | | | | |
| g = 70.0 | g = 33.35 | 17.4 g 32.0 g 58.4 g |
|=================================================================================================================|
| GROUP 5 667 PERSONS 109 479 79 |
| n = 1.0 | n = 0.51 | 0.3 n 0.5 n 0.9 n | | | |
| g = 147.0 | g = 70.62 | 41.9 g 69.5 g 117.0 g |
|=================================================================================================================|
| GROUP 6 426 PERSONS 140 273 13 |
| n = 3.0 | n = 1.13 | 0.9 n 1.2 n 2.2 n | | |
| g = 241.0 | g = 115.61 | 86.7 g 125.7 g 215.2 g |
|=================================================================================================================|
| GROUP 7 175 PERSONS 2 134 38 1 |
| n = 5.0 | n = 2.00 | 1.0 n 1.8 n 2.7 n 3.8 n | |
| g = 343.0 | g = 176.35 | 95.5 g 157.2 g 244.5 g 314.0 g |
|=================================================================================================================|
| GROUP 8 269 PERSONS 38 103 43 85 |
| n = 10.0 | n = 4.98 | 2.4 n 3.1 n 4.8 n 8.5 n|
| g = 514.0 | g = 337.25 | 168.9 g 239.6 g 337.9 g 530.5 g|
|=================================================================================================================|
| BOTH TOTALS = 24,601 PERSONS. 13926 6447 753 812 1151 705 524 154 44 85 |
|_________________________________________________________________________________________________________________|
======================================================================================================
|Col.A Col.B | Col.C Col.D | Col.E Col.F || Col.G Col.H | Col.I Col.J |
| | T65DR DS86 | T65DR DS86 || T65DR DS86 | T65DR DS86 |
| neutron | KERMA, KERMA, | KERMA, KERMA, || KERMA, KERMA, | KERMA, KERMA, |
| and | PARTIAL PARTIAL | FULL FULL || PARTIAL PARTIAL | FULL FULL |
| gamma | COHORT COHORT | COHORT COHORT || COHORT COHORT | COHORT COHORT |
| || |
|=============================== HIROSHIMA ============= || ============= NAGASAKI ============ |
|DOSE- n= | 0 0 | 0 0 || 0 0 | 0 0 |
|GROUP 1 g= | 0 0.16 | 0 0.16 || 0 0 | 0 0 |
|======================================================== || ===================================== |
|DOSE- n= | 0.36447 0.01640 | 0.8 0.048 || 0 0 | 0 0 |
|GROUP 2 g= | 2.72894 4.05917 | 2.5 3.719 || 2.54469 0.66441 | 2.6 0.679 |
|======================================================== || ===================================== |
|DOSE- n= | 4.46558 0.31541 | 4.3 0.304 || 0 0.00813 | 0 0.00813 |
|GROUP 3 g= | 18.32791 22.31244 | 17.8 21.670 || 20.9079 9.23906 | 21.2 9.368 |
|======================================================== || ===================================== |
|DOSE- n= | 13 1.38 | 13.4 1.422 || 0 0.20 | 0.2 0.262 |
|GROUP 4 g= | 57 57.39 | 56.9 57.289 || 70.0 33.35 | 71.0 33.826 |
|======================================================== || ===================================== |
|DOSE- n= | 30 3.23 | 30.3 3.262 || 1.0 0.51 | 1.3 0.663 |
|GROUP 5 g= | 109 101.75 | 108.7 101.470 || 147.0 70.62 | 145.6 69.947 |
|======================================================== || ===================================== |
|DOSE- n= | 55 6.78 | 56.8 7.002 || 3.0 1.13 | 3.4 1.281 |
|GROUP 6 g= | 188 165.47 | 186.7 164.326 || 241.0 115.61 | 240.3 115.274 |
|======================================================== || ===================================== |
|DOSE- n= | 89 11.01 | 92.1 11.393 || 5.0 2.00 | 5.4 2.16 |
|GROUP 7 g= | 257 230.05 | 254.3 227.633 || 343.0 176.35 | 338.3 173.934 |
|======================================================== || ===================================== |
|DOSE- n= | 140 22.34 | 144.1 22.994 || 10.0 4.98 | 10.5 5.229 |
|GROUP 8 g= | 383 362.86 | 380.3 360.302 || 514.0 337.25 | 518.7 340.334 |
======================================================================================================
===========================================================================================
| Col.A Col.B Col.C Col.D Col.E Col.F Col.G Col.H |
| |
| Dose- Dose- Dose- Dose- Dose- Dose- Dose- Dose- |
| Group Group Group Group Group Group Group Group |
| Row 1 2 3 4 5 6 7 8 |
| |
|======================================================================================== |
| |
| 1 HIROSHIMA Persons 27569 15931 10909 2783 1740 659 369 510 |
| |
| 2 Mean Dose (n) 0.0 0.048 0.304 1.422 3.262 7.002 11.393 22.994 |
| 3 Mean Dose (g) 0.16 3.719 21.67 57.289 101.47 164.326 227.633 360.302 |
| 4 Mean Dose (n+g) 0.16 3.77 21.97 58.71 104.73 171.33 239.03 383.30 |
| |
|======================================================================================== |
| |
| 5 NAGASAKI Persons 9604 12924 4034 1442 1388 722 270 377 |
| |
| 6 Mean Dose (n) 0.0 0.0 0.008 0.262 0.663 1.281 2.160 5.229 |
| 7 Mean Dose (g) 0.0 0.679 9.368 33.826 69.947 115.274 173.934 340.334 |
| 8 Mean Dose (n+g) 0.0 0.679 9.38 34.09 70.61 116.56 176.09 345.56 |
| |
|======================================================================================== |
| |
|BOTH CITIES Persons 37173 28855 14943 4225 3128 1381 639 887 |
| |
| 9 Kerma-Dose, calc. 0.12 2.38 18.57 50.31 89.59 142.69 212.44 367.26 |
===========================================================================================
This table is the DS86 counterpart of Table 9-B. It provides mean shielded kerma-doses for the same cohorts of persons.
=============================================================================================================
| Col.A Col.B Col.C Col.D Col.E Col.F Col.G Col.H Col.I |
| DS86, RBE = 20 Dose- Dose- Dose- Dose- Dose- Dose- Dose- Dose- Ref. |
| Group Group Group Group Group Group Group Group Group |
| Row 1 2 3 4 5 6 7 8 (1 + 2) |
|========================================================================================================= |
| 1 HIROSHIMA Persons 27569 15931 10909 2783 1740 659 369 510 43500 |
| |
| 2 Organ-Dose (n) RBE=20 0 0.182 1.155 5.404 12.396 26.608 43.293 87.377 |
| 3 Organ-Dose (n,gamma) 0 0.020 0.125 0.583 1.337 2.871 4.671 9.428 |
| 4 Organ-Dose (g) 0.12 2.752 16.036 42.394 75.088 121.601 168.448 266.623 |
| |
| 5 Total Organ-Dose, cSv 0.12 2.95 17.32 48.38 88.82 151.08 216.41 363.43 1.157 |
|========================================================================================================= |
| 6 NAGASAKI Persons 9604 12924 4034 1442 1388 722 270 377 22528 |
| |
| 7 Organ-Dose (n) RBE=20 0 0.0 0.030 0.996 2.519 4.868 8.208 19.870 |
| 8 Organ-Dose (n,gamma) 0 0.0 0.003 0.107 0.272 0.525 0.886 2.144 |
| 9 Organ-Dose (g) 0 0.502 6.932 25.031 51.761 85.303 128.711 251.847 |
| |
| 10 Total Organ-Dose, cSv 0.00 0.50 6.97 26.13 54.55 90.70 137.80 273.86 0.288 |
|========================================================================================================= |
| |
| BOTH CITIES Persons 37173 28855 14943 4225 3128 1381 639 887 66028 |
| |
| 11 Total Organ-Dose, cSv 0.088 1.856 14.522 40.788 73.615 119.510 183.198 325.360 0.861 |
| 12 Organ-Dose from Neut. 0.000 0.101 0.852 3.899 8.013 15.242 28.469 58.685 0.044 |
| 13 Organ-Dose from Gamma 0.088 1.755 13.670 36.889 65.602 104.269 154.730 266.675 0.817 |
| 14 Neutron cSv / Total cSv 0.000 0.054 0.059 0.096 0.109 0.128 0.155 0.180 0.051 |
=============================================================================================================
This table is the DS86 counterpart of Table 9-C.
It provides mean internal organ-doses for the same cohorts of persons
as Table 9-C.
============================================================================================================
| |
| Col.A Col.B Col.C Col.D Col.E Col.F Col.G Col.H |
| FULL COHORTS Dose- Dose- Dose- Dose- Dose- Dose- Dose- Dose- |
| Kerma doses in rads (cGy) Group Group Group Group Group Group Group Group |
|Row Organ-doses in rems (cSv) 1 2 3 4 5 6 7 8 |
|========================================================================================================= |
| 1 HIROSHIMA Persons 27569 15931 10909 2783 1740 659 369 510 |
| ---------------------------------------------------------------------- |
| 2 T65DR Shielded Kerma Mean Dose 0.00 3.30 22.10 70.30 139.00 243.50 346.40 524.40 |
| 3 DS86 Shielded Kerma Mean Dose 0.16 3.77 21.97 58.71 104.73 171.33 239.03 383.30 |
| 4 DS86 Mean Internal Organ-Dose 0.12 2.95 17.32 48.38 88.82 151.08 216.41 363.43 |
| (Neutron RBE = 20.) |
|========================================================================================================= |
| 5 NAGASAKI Persons 9604 12924 4034 1442 1388 722 270 377 |
| ---------------------------------------------------------------------- |
| 6 T65DR Shielded Kerma Mean Dose 0.00 2.60 21.20 71.20 146.90 243.70 343.70 529.20 |
| 7 DS86 Shielded Kerma Mean Dose 0.00 0.68 9.38 34.09 70.61 116.56 176.09 345.56 |
| 8 DS86 Mean Internal Organ-Dose 0.00 0.50 6.97 26.13 54.55 90.70 137.80 273.86 |
| (Neutron RBE = 20.) |
|========================================================================================================= |
| 9 BOTH CITIES Persons 37173 28855 14943 4225 3128 1381 639 887 |
|Persons are provided here as a possible convenience; they are not involved in the calculations below. |
|__________________________________________________________________________________________________________|
HOW ENTRIES FOR TABLE 26-A,B,C,D, Columns I (Eye) and J, WERE OBTAINED FOR ADDITIONAL DS86 KERMA DOSES:
Now, if we go to Master Table 26-A, for Hiroshima Males, we will calculate the DS86 doses for the males who were age 27 years ATB (Column C) and who are in Dose-Group 4 (Column E).
We find that their true T65DR mean kerma-dose is 68.0 rads, which is lower than the 70.30 rads above in Row 2. Therefore, we know that the corresponding DS86 mean kerma-dose will also be lower than the 58.71 rads above in Row 3. So we multiply 58.71 rads by the factor (68.0 rads / 70.30 rads), and we enter 56.79 rads in Column I (Eye) as the true DS86 kerma-dose.
However, for the males who were age 27 years ATB, we determined above that the DS86 mean kerma-dose is 56.79 rads, which is lower than 58.71 rads. Therefore, we multiply 48.38 rems by the factor (56.79 rads / 58.71 rads), and we enter 46.80 rems in Column J as the DS86 internal organ-dose.