Monte Carlo Methods for Dose Uncertainty Calculations - Technical Information Bulletins (TIBs) -- Alphabetical Listing

ORAU Team Dose Reconstruction Project for NIOSH Technical Information Bulletin: Monte Carlo Methods for Dose Uncertainty Calculations Subject Expert: Matthew H. Smith Document Number: ORAUT-OTIB-0012 Effective Date: 02/14/2005 Revision No.: 00 Controlled Copy No.: ________ Page 1 of 65 Supersedes: Document Owner Approval: Signature on File Approval: Signature on File Edward F. Maher, Task 5 Manager Date: 02/092005 None Date: 02/08/2005 Date: 02/09/2005 Date: 02/14/2005 Keith A. McCartney, Tool Development Manager Concurrence: Signature on File Richard E. Toohey, Project Director Approval: Signature on File Business Sensitive James W. Neton, Associate Director for Science TABLE OF CONTENTS Section Page Record of Issue/Revisions........................................................................................................................ 3 Acronyms and Abbreviations .................................................................................................................... 4 1.0 2.0 3.0 Scope............................................................................................................................................... 5 Uncertainty of Measured Dose Quantities ...................................................................................... 5 Calculation of Best-Estimate Organ Dose ...................................................................................... 5 3.1 Measured Dose Methodology ................................................................................................... 5 3.2 Uncertainty for Missed Dose Calculations ................................................................................ 9 Uncertainty for Neutron to Photon Ratio Calculations .................................................................... 9 4.0 References.............................................................................................................................................. 13 Attachment A Photons 30-250 keV, Hp(10) .................................................................................................... 14 B Photons Greater Than 250 keV, Hp(10).................................................................................... 20 C Photons Less than 30 keV, Hp(10)............................................................................................ 26 D Photons 30-250 keV, Exposure (R).......................................................................................... 32 E Photons Greater Than 250 keV, Exposure (R) ........................................................................ 38 F Photons Less Than 30 keV, Exposure (R) ............................................................................... 44 G Neutrons 0.1-2 MeV, Deep Dose Equivalent............................................................................ 50 H Neutrons 2-20 MeV, Deep Dose Equivalent............................................................................. 56 I Missed Dose.............................................................................................................................. 62 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 2 of 65 LIST OF TABLES Table Page 1 Uncertainty values for a set of dosimeter readings............................................................................6 2 Comparison of Monte Carlo methods for measured dose uncertainty—colon .................................9 3 Comparison of Monte Carlo methods for measured dose uncertainty—bladder ..............................9 4 Comparison of Monte Carlo methods for measured dose uncertainty—lung ...................................9 5 Comparison of Monte Carlo methods for neutron to photon (NP) ratio uncertainty—colon ............................................................................................................................12 6 Comparison of Monte Carlo methods for neutron to photon (NP) ratio uncertainty—bladder.........................................................................................................................12 7 Comparison of Monte Carlo methods for neutron to photon (NP) ratio uncertainty—lung ..............................................................................................................................12 LIST OF FIGURES Figure Page 1 Dosimetry error...................................................................................................................................7 2 Dose conversion factor error..............................................................................................................7 3 Unit dose uncertainty distribution .......................................................................................................7 4 Monte Carlo method for best-estimate organ dose ...........................................................................8 5 Neutron to photon ratio for Hanford Site reactors............................................................................10 6 Neutron to photon unit dose—measured.........................................................................................10 7 Neutron to photon unit dose—missed..............................................................................................11 8 Determination of measured or missed doses using neutron to photon ratios.................................11 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 3 of 65 RECORD OF ISSUE/REVISIONS ISSUE AUTHORIZATION EFFECTIVE REV. DATE DATE NO. Draft 08/26/2004 00-A Draft 02/14/2005 11/12/2004 02/14/2005 00-B 00 DESCRIPTION New document to establish Technical Information Bulletin for Monte Carlo Methods for Dose Uncertainty Calculations. Initiated by Matthew H. Smith. Incorporates NIOSH review comments. Initiated by Matthew H. Smith. First approved issue. Initiated by Matthew H. Smith. Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 4 of 65 ACRONYMS AND ABBREVI ATIONS cSv DCF GM GSD Hp(10) IREP mrem centisievert dose conversion factor geometric mean geometric standard deviation dose equivalent at a depth of 10 millimeters Interactive RadioEpidemiological Program millirem Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 5 of 65 1.0 SCOPE The purpose of this document is to outline an efficiency method applied to Monte Carlo methods which yield best-estimate organ dose doses for dose reconstruction. Instead of running simulations using a Monte Carlo application (such as Crystal Ball®) for each individual case, an approach using unit dose quantities combined with the appropriate dose conversion factors can be used to assign organ dose (Decisioneering, Inc., 2001). In addition, organ doses can be calculated in instances where the use of neutron to photon ratios are required using this unit dose approach. Implementation of this method allows the generation of site-specific reference tables for use in best-estimate dose reconstructions without requiring individual Monte Carlo simulations. 2.0 UNCERTAINTY OF MEASURED DOSE QUANTITIES The foundation for this efficiency process is the estimation of dosimeter error. The calculation of this error is shown in the following equation from the External Dose Reconstruction Implementation Guidelines (OCAS 2002, Section 2.1.1.3.3): 2  *     C  + σ (E ) = (E )  100   1 .96        L σ 2 where: LC = σ* = E = critical limit (minimum detectable level) estimated percent standard error exposure or dose The uncertainty of a single dosimeter reading is calculated from the exposure or dose value (E), critical limit (Lc ), and standard error (σ* ). The overall uncertainty for dosimetry readings during a year is the square root of the sum of the squares (NIOSH 2002, Section 2.1.1.3.4): σ where: 2 D = σ +σ +σ 2 2 2 1 2 3 + ... σ 2 i σD = uncertainty of annual dose σi = uncertainty of a single dosimeter An example of this approach is shown in Table 1, given Lc = 40 and σ* = 25. 3.0 3.1 CALCULATION OF BEST -ESTIMATE ORGAN DOSE MEASURED DOSE METHODOLOGY To calculate a best-estimate organ dose, the annual dosimeter dose (expressed as a distribution) is combined with the organ dose conversion factors (DCFs) (also expressed as a distribution), which is then combined with energy fraction and site-specific dosimeter correction factors (typically constants). A series of Monte Carlo simulations is performed that multiplies unit dose quantities (defined as normal distributions) by the organ DCF values (defined as the triangular distributions). The input for these simulations consists of unit dose normal distributions defined with standard deviations ranging Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 6 of 65 from 5% to 105% (in 1% increments). The DCF distributions are based on the anterior–posterior geometry values in Appendix B of NIOSH (2002). Table 1. Uncertainty values for a set of dosimeter readings. Total dose (mrem) 1125 Individual dosimeter readings (mrem) 0 62 67 78 0 67 0 62 62 62 62 62 62 67 62 67 67 67 62 0 0 0 0 0 0 90 Overall uncertainty 109 (10%) Individual uncertainty (1 sigma) values 0 26 26 28 0 26 0 26 26 26 26 26 26 26 26 26 26 26 26 0 0 0 0 0 0 30 Figures 1 and 2 illustrate examples of the distributions used in these simulations. The normal distribution (Figure 1 describing dosimetry error) is defined with a standard deviation of 32% (matching the data shown in Table 1). The triangular distribution (Figure 2 describing DCF error) is defined for the 30 to 250 keV photon Hp(10) DCF for the colon. Figure 3 shows the product of these two distributions. The outcome is a normal distribution with a mean of 0.59 and a standard deviation of 0.14 (the distribution type and associated parameters were determined using the Batch Fit feature of Crystal Ball®). In practice, the use of these Monte Carlo simulations follows the flow in Figure 4. Example 1 – Measured Photon/Neutron Dose Interactive RadioEpidemiological Program (IREP) distribution choice: Normal. IREP Parameter 1: 1.125 (total dose in cSv) × 0.59 (unit dose uncertainty mean) = 0.664 cSv. IREP Parameter 2: 1.125 (total dose in cSv) × 0.14 (unit dose uncertainty standard deviation) = 0.158 cSv. Using the data in Table 1, the unit dose distribution shown in Figure 3 would be chosen. Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 7 of 65 Unit Dose (SD=10%) 0.70 0.85 1.00 1.15 1.30 Figure 1. Dosimetry error. Colon DCF (Min=0.23, Mode=0.75, Max=0.80) 0.23 0.37 0.51 0.66 0.80 Figure 2. Dose conversion factor error. Forecast: Unit Dose Uncertainty Distribution 10,000 Trials .022 Frequency Chart 9,993 Displayed 224 .017 168 .011 112 .006 56 .000 0.22 0.41 0.59 mrem 0.78 0.96 0 Figure 3. Unit dose uncertainty distribution. Tables 2 through 4 show a comparison of results for the efficiency method (precalculated) and custom Monte Carlo simulations for colon, bladder, and lung calculations respectively. Because these are Monte Carlo calculations, small differences between methods are expected. The relative error figure in these tables describes the difference between the efficient method and a custom Monte Carlo calculation. Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 8 of 65 Figure 4. Monte Carlo method for best-estimate organ dose. Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 9 of 65 Table 2. Comparison of Monte Carlo methods for measured dose uncertainty— colon. Quantity Mean Standard Deviation Efficiency method 0.664 cSv 0.158 Custom Monte Carlo 0.668 cSv 0.159 Relative error 0.6 % 0.6 % Table 3. Comparison of Monte Carlo methods for measured dose uncertainty— bladder. Quantity Mean Standard Deviation Efficiency method 0.831 cSv 0.149 Custom Monte Carlo 0.829 cSv 0.148 Relative error 0.2 % 0.7 % Table 4. Comparison of Monte Carlo methods for measured dose uncertainty— lung. Quantity Mean Standard Deviation Efficiency method 0.641 cSv 0.136 Custom Monte Carlo 0.640 cSv 0.138 Relative error 0.2 % 1.4 % 3.2 UNCERTAINTY FOR MISSED DOSE CALCULAT IONS The missed annual dosimeter dose (expressed as a distribution) is combined with the organ DCF (also expressed as a distribution), which is then combined with energy fraction correction factors (typically constants). A series of Monte Carlo simulations is performed that multiplies unit dose quantities (defined as lognormal distributions) by the organ DCF values (defined as the triangular distributions). Missed dose is calculated using the following relationship: nLOD/2 × unit missed dose uncertainty distribution where: n LOD = = number of zero dosimeter readings dosimeter limit of detection. Example 2 – Missed Photon/Neutron Dose IREP distribution choice: Lognormal IREP Parameter 1: nLOD/2 × GM of unit missed dose uncertainty distribution (lognormal) IREP Parameter 2: GSD = 1.62 4.0 UNCERTAINTY FOR NEUTRON TO PHOTON RATIO CALCULATIONS Using an approach similar to the one described above, neutron to photon ratio distributions can be combined with DCF distributions in a series of Monte Carlo simulations. Neutron to photon ratios are typically defined as lognormal distributions. Figure 4 illustrates the neutron to photon ration defined for reactor workers at the Hanford Site [lognormal distribution, geometric mean (GM) = 0.41; geometric standard deviation (GSD) = 2.79] (ORAU 2004). In order to better control data quality, measured and missed photon dose quantities are treated with different methods. Neutron dose based on measured photon dose is calculated using the following relationship: Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 10 of 65 measured photon dose × [ unit dose uncertainty distribution (Figure 1) × neutron to photon ratio distribution (Figure 5) × ICRP 60 Factor × organ DCF (Figure 2) ] Neutron to Photon Ratio: Hanford Reactor 0.02 2.24 4.46 6.68 8.90 Figure 5. Neutron to photon ratio for Hanford Site reactors. Neutron dose based on the missed photon dose is calculated as follows: nLOD/2 × unit missed dose distribution (lognormal, GM= 1; GSD = 1.52) × neutron to photon ratio distribution (Figure 4) × ICRP 60 Factor × organ DCF (Figure 2) ] The variables described in brackets in the equations above are quantities precalculated using Monte Carlo simulations. Figure 6 illustrates the outcome for the measured photon dose method (lognormal, GM = 0.206; GSD = 2.85), while the results of the missed photon dose method are shown in Figure 7 (lognormal, GM = 0.208; GSD = 3.07). Figure 8 summarizes these determinations. NP Unit Dose Measured 0.01 1.20 2.40 3.59 4.79 Figure 6. Neutron to photon unit dose—measured. Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 11 of 65 NP Unit Dose Missed 0.01 1.52 3.02 4.53 6.04 Figure 7. Neutron to photon unit dose—missed. Figure 8. Determination of measured or missed doses using neutron to photon ratios. Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 12 of 65 Example 3 – Neutron Dose Calculated from Measured Photon Dose IREP Distribution Choice: Lognormal IREP Parameter 1: 1.125 (total dose in cSv) × 0.206 (Figure 5 GM) × 1.91 = 0.433 cSv IREP Parameter 2: GSD from Figure 5 = 2.85 Example 4 – Neutron Dose Calculated from Missed Photon Dose IREP Distribution Choice: Lognormal IREP Parameter 1: 0.180 cSv (nLOD/2 for data in Table 1) × 0.208 (Figure 6 GM) × 1.91 = 0.072 cSv IREP Parameter 2: GSD from Figure 6 = 3.07 Tables 5 through 7 show a comparison of results for the efficiency method (precalculated) and custom Monte Carlo simulations for colon, bladder, and lung calculations respectively. Because these are Monte Carlo calculations, small differences between methods are expected. The relative error figure in these tables describes the difference between the efficient method and a custom Monte Carlo calculation. Table 5. Comparison of Monte Carlo methods for neutron to photon (NP) ratio uncertainty— colon. NP NP NP NP Quantity ratio measured photon GM ratio measured photon GSD ratio missed photon GM ratio missed photon GSD Efficiency method 0.443 cSv 2.85 0.072 cSv 3.07 Custom Monte Carlo 0.441 cSv 2.83 0.071 3.04 Relative error 0.5% 0.7% 1.4% 1% Table 6. Comparison of Monte Carlo methods for neutron to photon (NP) ratio uncertainty— bladder. NP NP NP NP Quantity ratio measured photon GM ratio measured photon GSD ratio missed photon GM ratio missed photon GSD Efficiency method 0.703 cSv 2.85 0.113 cSv 3.06 Custom Monte Carlo 0.701cSv 2.84 0.116 cSv 3.08 Relative error 0.3% 0.4% 2.6% 0.6% Table 7. Comparison of Monte Carlo methods for neutron to photon (NP) ratio uncertainty— lung. NP NP NP NP Quantity ratio measured photon GM ratio measured photon GSD ratio missed photon GM ratio missed photon GSD Efficiency method 0.494 cSv 2.87 0.079 cSv 3.07 Custom Monte Carlo 0.495 cSv 2.82 0.080 cSv 3.04 Relative error 0.2% 1.8% 1.3% 1% Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 13 of 65 REFERENCES Decisioneering, Inc., Crystal Ball 2000.2 User Manual, 2001, Denver, CO. NIOSH (National Institute for Occupational Safety and Health), 2002, External Dose Reconstruction Implementation Guidelines, OCAS-IG-001, Revision 1, Office of Compensation Analysis and Support, Cincinnati, Ohio. ORAU Team, Technical Basis Document for the Hanford Site – Occupational External Dosimetry, ORAUT-TKBS-0006-6 Rev 01 (2004) Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 14 of 65 ATTACHMENT A Photons 30-250 keV, Hp (10) Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Bladder Parameter 1 0.740 0.739 0.739 0.738 0.738 0.757 0.780 0.825 0.862 0.896 0.950 Parameter 2 0.115 0.132 0.186 0.250 0.312 0.371 0.419 0.470 0.520 0.564 0.611 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Bone (red marrow) Dose distribution Parameter 1 Triangular 0.056 Normal 0.360 Normal 0.362 Normal 0.362 Normal 0.360 Normal 0.368 Normal 0.380 Normal 0.405 Normal 0.424 Normal 0.438 Normal 0.462 Bone surfaces Dose distribution Parameter 1 Normal 0.831 Normal 0.832 Normal 0.834 Normal 0.830 Normal 0.834 Normal 0.849 Normal 0.879 Normal 0.932 Normal 0.969 Normal 1.013 Normal 1.066 Parameter 2 0.436 0.112 0.132 0.156 0.183 0.208 0.231 0.259 0.284 0.308 0.328 Parameter 3 0.601 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Parameter 2 0.146 0.161 0.220 0.287 0.361 0.424 0.478 0.536 0.586 0.647 0.697 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 15 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Breast (female) Dose distribution Parameter 1 Normal 0.892 Normal 0.891 Normal 0.894 Normal 0.892 Normal 0.893 Normal 0.914 Normal 0.941 Normal 0.998 Normal 1.043 Normal 1.085 Normal 1.146 Colon Parameter 1 0.211 0.590 0.592 0.591 0.590 0.603 0.623 0.661 0.691 0.718 0.757 Esophagus Parameter 1 0.050 0.370 0.372 0.370 0.372 0.381 0.392 0.416 0.433 0.453 0.477 Parameter 2 0.046 0.090 0.179 0.270 0.352 0.423 0.482 0.543 0.604 0.660 0.711 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.668 0.141 0.178 0.224 0.271 0.317 0.351 0.396 0.435 0.474 0.512 Parameter 3 0.902 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.431 0.120 0.139 0.163 0.191 0.216 0.243 0.268 0.293 0.319 0.340 Parameter 3 0.646 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 16 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Eye Parameter 1 0.913 0.908 0.916 0.915 0.916 0.936 0.966 1.023 1.070 1.113 1.174 Liver Parameter 1 0.257 0.609 0.612 0.611 0.611 0.625 0.644 0.683 0.715 0.743 0.785 0.794 Lung Parameter 1 0.248 0.570 0.575 0.571 0.573 0.584 0.602 0.642 0.667 0.697 0.732 Parameter 2 1.085 1.127 0.194 0.285 0.367 0.438 0.499 0.561 0.627 0.682 0.734 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 101 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.678 0.130 0.170 0.222 0.272 0.318 0.358 0.402 0.445 0.481 0.518 0.522 Parameter 3 0.897 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.633 0.121 0.161 0.205 0.254 0.296 0.333 0.376 0.411 0.450 0.482 Parameter 3 0.831 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 17 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Lymphoid Parameter 1 0.937 0.933 0.936 0.934 0.938 0.960 0.985 1.045 1.091 1.138 1.203 Ovaries Parameter 1 0.129 0.517 0.521 0.517 0.519 0.533 0.547 0.583 0.603 0.629 0.668 Remainder Parameter 1 0.171 0.497 0.498 0.498 0.498 0.513 0.525 0.556 0.582 0.605 0.644 Parameter 2 0.231 0.245 0.292 0.366 0.439 0.509 0.569 0.631 0.700 0.761 0.819 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.603 0.144 0.172 0.209 0.249 0.288 0.323 0.361 0.392 0.427 0.458 Parameter 3 0.834 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.572 0.120 0.149 0.189 0.228 0.267 0.298 0.333 0.368 0.400 0.433 Parameter 3 0.751 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 18 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Skin Parameter 1 0.625 0.624 0.626 0.625 0.625 0.640 0.659 0.699 0.731 0.760 0.802 Stomach Parameter 1 0.397 0.741 0.743 0.744 0.746 0.761 0.784 0.830 0.869 0.906 0.955 Testes Parameter 1 1.007 1.006 1.009 1.008 1.008 1.032 1.063 1.127 1.178 1.225 1.295 Parameter 2 0.047 0.071 0.130 0.193 0.249 0.298 0.339 0.383 0.426 0.464 0.500 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.809 0.133 0.186 0.252 0.317 0.373 0.422 0.472 0.525 0.574 0.615 Parameter 3 1.020 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.051 0.101 0.202 0.305 0.397 0.477 0.544 0.613 0.683 0.745 0.804 Parameter 3 0.000 0.000 0.000 0.000 0.000 1.032 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 19 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Thymus Parameter 1 0.885 0.883 0.885 0.884 0.886 0.908 0.934 0.988 0.988 1.075 1.139 Thyroid Parameter 1 0.960 0.958 0.961 0.960 0.961 0.984 1.012 1.074 1.122 1.167 1.234 Uterus Parameter 1 0.178 0.556 0.557 0.556 0.557 0.569 0.587 0.620 0.650 0.676 0.714 Parameter 2 0.100 0.126 0.200 0.285 0.360 0.433 0.491 0.551 0.551 0.664 0.722 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.069 0.108 0.199 0.296 0.383 0.459 0.522 0.587 0.654 0.714 0.771 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.167 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.632 0.139 0.170 0.215 0.260 0.301 0.335 0.373 0.414 0.450 0.484 Parameter 3 0.860 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 20 of 65 ATTACHMENT B Photons Greater Than 250 keV, Hp (10) Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Bladder Parameter 1 0.907 0.905 0.908 0.907 0.908 0.929 0.957 1.014 1.060 1.102 1.165 Parameter 2 0.046 0.091 0.182 0.275 0.357 0.430 0.490 0.552 0.614 0.674 0.723 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Bone (red marrow) Dose distribution Parameter 1 Normal 0.709 Normal 0.706 Normal 0.708 Normal 0.708 Normal 0.707 Normal 0.723 Normal 0.746 Normal 0.792 Normal 0.828 Normal 0.859 Normal 0.907 Bone surfaces Dose distribution Parameter 1 Normal 0.777 Normal 0.776 Normal 0.778 Normal 0.777 Normal 0.778 Normal 0.795 Normal 0.820 Normal 0.869 Normal 0.907 Normal 0.945 Normal 0.998 Parameter 2 0.071 0.093 0.156 0.224 0.287 0.341 0.388 0.438 0.487 0.531 0.571 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Parameter 2 0.052 0.084 0.160 0.237 0.309 0.370 0.421 0.475 0.526 0.577 0.622 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 21 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Breast (female) Dose distribution Parameter 1 Normal 0.952 Normal 0.951 Normal 0.954 Normal 0.952 Normal 0.954 Normal 0.975 Normal 1.005 Normal 1.065 Normal 1.113 Normal 1.158 Normal 1.224 Colon Parameter 1 0.855 0.854 0.857 0.855 0.856 0.876 0.902 0.956 1.000 1.039 1.098 Esophagus Parameter 1 0.732 0.731 0.734 0.732 0.733 0.750 0.773 0.819 0.855 0.891 0.941 Parameter 2 0.049 0.096 0.191 0.288 0.376 0.451 0.515 0.580 0.645 0.705 0.760 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.047 0.087 0.173 0.260 0.338 0.406 0.462 0.521 0.580 0.633 0.683 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.069 0.094 0.159 0.229 0.295 0.352 0.402 0.451 0.501 0.548 0.589 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 22 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Eye Parameter 1 0.902 0.901 0.903 0.902 0.903 0.923 0.952 1.009 1.055 1.097 1.158 Liver Parameter 1 0.862 0.861 0.864 0.862 0.863 0.883 0.910 0.964 1.008 1.048 1.108 Lung Parameter 1 0.835 0.834 0.838 0.835 0.837 0.855 0.881 0.935 0.976 1.016 1.073 Parameter 2 0.051 0.093 0.183 0.275 0.357 0.428 0.488 0.549 0.613 0.668 0.720 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.050 0.089 0.175 0.263 0.341 0.410 0.467 0.526 0.586 0.639 0.689 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.051 0.088 0.171 0.254 0.331 0.397 0.452 0.510 0.566 0.620 0.667 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 23 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Lymphoid Parameter 1 0.937 0.933 0.936 0.934 0.938 0.960 0.985 1.045 1.091 1.138 1.203 Ovaries Parameter 1 0.845 0.846 0.849 0.847 0.848 0.869 0.894 0.949 0.990 1.030 1.090 Remainder Parameter 1 0.780 0.778 0.781 0.780 0.780 0.799 0.822 0.872 0.911 0.947 1.003 Parameter 2 0.231 0.245 0.292 0.366 0.439 0.509 0.569 0.631 0.700 0.761 0.819 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.074 0.095 0.176 0.260 0.337 0.404 0.461 0.519 0.576 0.629 0.678 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.052 0.085 0.160 0.239 0.309 0.372 0.423 0.476 0.530 0.579 0.625 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 24 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Skin Parameter 1 0.822 0.821 0.823 0.822 0.823 0.842 0.867 0.919 0.961 0.999 1.056 Stomach Parameter 1 0.913 0.911 0.914 0.913 0.914 0.935 0.963 1.021 1.067 1.110 1.173 Testes Parameter 1 0.963 0.962 0.964 0.963 0.964 0.987 1.016 1.077 1.126 1.170 1.238 Parameter 2 0.058 0.091 0.170 0.252 0.327 0.391 0.446 0.503 0.560 0.610 0.657 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.046 0.091 0.183 0.276 0.360 0.432 0.493 0.555 0.618 0.675 0.728 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.053 0.098 0.194 0.292 0.380 0.457 0.521 0.586 0.653 0.712 0.770 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 25 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Thymus Parameter 1 0.920 0.920 0.922 0.921 0.922 0.944 0.972 1.030 1.077 1.120 1.185 Thyroid Parameter 1 0.992 0.990 0.994 0.992 1.017 1.035 1.047 1.110 1.160 1.207 1.276 Uterus Parameter 1 0.796 0.795 0.797 0.796 0.797 0.830 0.840 0.890 0.930 0.968 1.023 Parameter 2 1.063 0.097 0.188 0.281 0.364 0.439 0.499 0.562 0.626 0.682 0.738 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.059 0.104 0.202 0.303 0.472 0.393 0.538 0.605 0.674 0.736 0.794 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.042 0.080 0.160 0.241 0.314 0.395 0.430 0.484 0.540 0.589 0.635 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 26 of 65 ATTACHMENT C Photons Less than 30 keV, Hp (10) Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Lognormal Lognormal Lognormal Lognormal Bladder Parameter 1 0.000 0.198 0.197 0.197 0.197 0.203 0.209 0.155 0.158 0.159 0.168 Parameter 2 0.162 0.090 0.097 0.108 0.121 0.137 0.148 2.725 2.766 2.972 2.999 Parameter 3 0.448 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Bone (red marrow) Dose distribution Parameter 1 Lognormal 0.035 Lognormal 0.035 Lognormal 0.034 Lognormal 0.033 Normal 0.036 Normal 0.037 Normal 0.038 Normal 0.041 Normal 0.043 Normal 0.044 Normal 0.046 Bone surfaces Dose distribution Parameter 1 Lognormal 0.251 Lognormal 0.251 Lognormal 0.247 Lognormal 0.238 Normal 0.265 Normal 0.269 Normal 0.279 Normal 0.296 Normal 0.307 Normal 0.322 Normal 0.338 Parameter 2 1.324 1.341 1.422 1.573 0.018 0.020 0.023 0.026 0.028 0.030 0.032 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Parameter 2 1.385 1.397 1.472 1.608 0.136 0.155 0.173 0.192 0.206 0.228 0.245 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 27 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Breast (female) Dose distribution Parameter 1 Lognormal 1.292 Lognormal 1.288 Lognormal 1.272 Lognormal 1.220 Lognormal 1.174 Normal 1.380 Normal 1.432 Normal 1.513 Normal 1.569 Normal 1.651 Normal 1.730 Colon Parameter 1 0.000 0.081 0.080 0.077 0.073 0.071 0.071 0.072 0.074 0.074 0.077 Esophagus Parameter 1 0.000 0.017 0.017 0.016 0.016 0.015 0.015 0.016 0.016 0.016 0.017 Parameter 2 1.344 1.366 1.435 1.582 1.811 0.775 0.879 0.965 1.051 1.160 1.224 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.056 1.866 1.936 2.050 2.253 2.534 2.651 2.830 2.888 3.120 3.100 Parameter 3 0.240 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.009 1.992 2.037 2.138 2.334 2.588 2.797 2.903 2.952 3.200 3.134 Parameter 3 0.059 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 28 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Eye Parameter 1 10.601 10.472 10.205 9.873 9.466 9.112 9.146 9.316 9.546 9.596 9.954 Liver Parameter 1 0.000 0.127 0.109 0.105 0.100 0.096 0.096 0.099 0.101 0.102 0.107 Lung Parameter 1 0.000 0.116 0.100 0.095 0.091 0.087 0.087 0.091 0.092 0.095 0.096 Parameter 2 1.951 1.984 2.039 2.158 2.323 2.586 2.743 2.908 2.992 3.174 3.170 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.087 0.061 1.849 1.987 2.216 2.476 2.599 2.710 2.875 3.036 3.036 Parameter 3 0.320 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.076 0.057 1.905 1.987 2.200 2.465 2.609 2.789 2.836 3.019 3.034 Parameter 3 0.285 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 29 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Lymphoid Parameter 1 0.937 0.933 0.936 0.934 0.938 0.960 0.985 1.045 1.091 1.138 1.203 Ovaries Parameter 1 0.000 0.049 0.049 0.047 0.045 0.043 0.043 0.045 0.045 0.045 0.048 Remainder Parameter 1 0.092 0.091 0.089 0.086 0.082 0.101 0.103 0.109 0.083 0.119 0.089 Parameter 2 0.231 0.245 0.292 0.366 0.439 0.509 0.569 0.631 0.700 0.761 0.819 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.032 1.905 1.954 2.076 2.257 2.575 2.695 2.842 2.901 3.066 3.100 Parameter 3 0.152 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Lognormal Lognormal Lognormal Normal Normal Normal Lognormal Normal Lognormal Parameter 2 1.474 1.491 1.545 1.695 1.898 0.061 0.067 0.074 2.571 0.088 2.744 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 30 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Lognormal Lognormal Lognormal Lognormal Lognormal Normal Lognormal Lognormal Normal Lognormal Skin Parameter 1 0.566 7.432 7.281 7.093 6.704 6.504 6.496 6.623 6.812 6.820 7.163 Stomach Parameter 1 0.000 0.199 0.200 0.167 0.160 0.205 0.152 0.156 0.160 0.163 0.169 Testes Parameter 1 1.566 1.552 1.522 1.482 1.402 1.702 1.750 1.841 2.538 1.997 1.506 Parameter 2 1.576 2.147 2.182 2.309 2.511 2.760 2.897 3.054 3.133 3.315 3.267 Parameter 3 28.130 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Lognormal Lognormal Normal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.162 0.092 0.100 1.937 2.151 0.138 2.590 2.714 2.809 3.001 2.991 Parameter 3 0.460 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Lognormal Lognormal Lognormal Normal Normal Normal Lognormal Normal Lognormal Parameter 2 1.410 1.428 1.494 1.633 1.857 1.023 1.119 1.231 0.000 1.450 2.704 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 31 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Lognormal Lognormal Lognormal Lognormal Thymus Parameter 1 0.302 0.301 0.300 0.301 0.302 0.311 0.319 0.236 0.242 0.245 0.258 Thyroid Parameter 1 0.500 0.496 0.500 0.499 0.499 0.513 0.526 0.559 0.584 0.607 0.644 Uterus Parameter 1 0.000 0.067 0.066 0.063 0.060 0.058 0.058 0.060 0.061 0.061 0.064 Parameter 2 0.130 0.133 0.144 0.163 0.180 0.205 0.224 2.700 2.817 2.954 2.975 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.140 0.149 0.175 0.211 0.249 0.286 0.318 0.351 0.389 0.422 0.454 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.039 1.900 1.959 2.089 2.295 2.579 2.691 2.810 2.943 3.140 3.114 Parameter 3 0.212 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 32 of 65 ATTACHMENT D Photons 30-250 keV, Exposure (R) Bladder Parameter 1 0.406 1.068 1.068 1.065 1.066 1.095 1.127 1.192 1.245 1.294 1.374 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.159 0.253 0.318 0.400 0.485 0.569 0.636 0.712 0.783 0.848 0.920 Parameter 3 1.661 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Bone (red marrow) Dose distribution Parameter 1 Triangular 0.056 Normal 0.466 Normal 0.468 Normal 0.469 Normal 0.467 Normal 0.477 Normal 0.492 Normal 0.524 Normal 0.549 Normal 0.567 Normal 0.597 Bone surfaces Dose distribution Parameter 1 Normal 1.226 Normal 1.229 Normal 1.230 Normal 1.223 Normal 1.231 Normal 1.251 Normal 1.296 Normal 1.375 Normal 1.427 Normal 1.495 Normal 1.570 Parameter 2 0.569 0.151 0.176 0.207 0.241 0.274 0.303 0.340 0.373 0.403 0.430 Parameter 3 0.792 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Parameter 2 0.309 0.325 0.397 0.479 0.583 0.674 0.753 0.840 0.910 1.005 1.082 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 33 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Breast (female) Dose distribution Parameter 1 Normal 1.208 Normal 1.207 Normal 1.211 Normal 1.207 Normal 1.212 Normal 1.237 Normal 1.277 Normal 1.352 Normal 1.410 Normal 1.472 Normal 1.552 Colon Parameter 1 0.215 0.855 0.857 0.856 0.855 0.873 0.902 0.957 1.000 1.039 1.096 Esophagus Parameter 1 0.049 0.514 0.517 0.514 0.517 0.529 0.545 0.578 0.601 0.629 0.662 Parameter 2 0.141 0.177 0.275 0.388 0.497 0.589 0.672 0.753 0.834 0.915 0.982 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.962 0.240 0.289 0.350 0.416 0.481 0.528 0.595 0.653 0.710 0.767 Parameter 3 1.417 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.609 0.174 0.199 0.232 0.270 0.305 0.342 0.377 0.412 0.448 0.477 Parameter 3 0.906 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 34 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Eye Parameter 1 1.227 1.227 1.231 1.229 1.230 1.258 1.297 1.374 1.437 1.494 1.578 Liver Parameter 1 0.877 0.874 0.878 0.876 0.877 0.897 0.925 0.980 1.026 1.067 1.127 Lung Parameter 1 0.250 0.808 0.815 0.808 0.812 0.826 0.852 0.911 0.943 0.987 1.035 Parameter 2 1.070 0.134 0.253 0.378 0.488 0.584 0.666 0.750 0.838 0.913 0.982 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.218 0.229 0.279 0.348 0.416 0.481 0.537 0.602 0.665 0.716 0.771 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.903 0.209 0.259 0.315 0.381 0.439 0.491 0.555 0.602 0.659 0.706 Parameter 3 1.284 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 35 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Lymphoid Parameter 1 0.937 0.933 0.936 0.934 0.938 0.960 0.985 1.045 1.091 1.138 1.203 Ovaries Parameter 1 0.134 0.735 0.740 0.733 0.737 0.757 0.777 0.828 0.856 0.894 0.949 Remainder Parameter 1 0.175 0.701 0.702 0.703 0.702 0.724 0.740 0.783 0.821 0.852 0.909 Parameter 2 0.231 0.245 0.292 0.366 0.439 0.509 0.569 0.631 0.700 0.761 0.819 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.869 0.225 0.263 0.313 0.367 0.422 0.472 0.526 0.571 0.621 0.666 Parameter 3 1.227 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.813 0.197 0.232 0.286 0.339 0.393 0.436 0.485 0.535 0.580 0.628 Parameter 3 1.133 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 36 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Skin Parameter 1 0.820 0.820 0.822 0.822 0.822 0.840 0.866 0.918 0.960 0.998 1.054 Stomach Parameter 1 0.413 1.071 1.074 1.075 1.079 1.100 1.133 1.199 1.257 1.312 1.380 Testes Parameter 1 1.390 1.387 1.388 1.389 1.387 1.424 1.466 1.550 1.624 1.684 1.788 Parameter 2 0.092 0.115 0.185 0.263 0.335 0.398 0.453 0.511 0.567 0.617 0.664 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.161 0.257 0.321 0.405 0.495 0.572 0.643 0.716 0.792 0.866 0.925 Parameter 3 1.677 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.166 0.207 0.319 0.449 0.568 0.683 0.773 0.866 0.962 1.046 1.137 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 37 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Thymus Parameter 1 1.249 1.246 1.246 1.247 1.249 1.282 1.317 1.392 1.459 1.514 1.609 Thyroid Parameter 1 1.325 1.319 1.326 1.324 1.325 1.359 1.396 1.481 1.548 1.610 1.705 Uterus Parameter 1 0.188 0.806 0.807 0.806 0.807 0.826 0.852 0.899 0.942 0.981 1.036 Parameter 2 0.231 0.256 0.338 0.446 0.542 0.647 0.726 0.812 0.900 0.968 1.059 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.193 0.228 0.326 0.446 0.560 0.664 0.750 0.837 0.933 1.017 1.097 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.906 0.232 0.274 0.334 0.397 0.456 0.504 0.561 0.621 0.675 0.725 Parameter 3 1.346 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 38 of 65 ATTACHMENT E Photons Greater Than 250 keV, Exposure (R) Bladder Parameter 1 0.941 0.936 0.944 0.942 0.943 0.966 0.995 1.054 1.101 1.145 1.212 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.081 1.123 0.198 0.291 0.376 0.451 0.513 0.578 0.642 0.700 0.757 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Bone (red marrow) Dose distribution Parameter 1 Normal 0.723 Normal 0.721 Normal 0.724 Normal 0.723 Normal 0.723 Normal 0.740 Normal 0.762 Normal 0.809 Normal 0.845 Normal 0.878 Normal 0.928 Bone surfaces Dose distribution Parameter 1 Lognormal 0.786 Normal 0.787 Normal 0.789 Normal 0.787 Normal 0.789 Normal 0.806 Normal 0.831 Normal 0.881 Normal 0.920 Normal 0.958 Normal 1.011 Parameter 2 0.048 0.078 0.149 0.222 0.287 0.344 0.392 0.442 0.492 0.537 0.578 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Parameter 2 1.064 0.083 0.161 0.239 0.312 0.374 0.427 0.480 0.533 0.584 0.630 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 39 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Breast (female) Dose distribution Parameter 1 Lognormal 0.984 Lognormal 0.979 Normal 0.989 Normal 0.986 Normal 0.988 Normal 1.010 Normal 1.042 Normal 1.104 Normal 1.152 Normal 1.200 Normal 1.267 Colon Parameter 1 0.883 0.884 0.887 0.886 0.886 0.907 0.934 0.990 1.035 1.076 1.137 Esophagus Parameter 1 0.750 0.750 0.753 0.752 0.753 0.770 0.793 0.841 0.879 0.914 0.966 Parameter 2 1.074 1.120 0.204 0.302 0.393 0.470 0.537 0.603 0.670 0.734 0.789 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.065 0.094 0.181 0.270 0.351 0.421 0.479 0.540 0.601 0.657 0.708 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.061 0.079 0.153 0.229 0.297 0.357 0.407 0.458 0.510 0.557 0.600 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 40 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Eye Parameter 1 0.937 0.932 0.941 0.940 0.940 0.962 0.992 1.051 1.099 1.142 1.206 Liver Parameter 1 0.888 0.888 0.891 0.889 0.890 0.911 0.938 0.995 1.040 1.081 1.143 Lung Parameter 1 0.865 0.865 0.869 0.867 0.868 0.888 0.914 0.970 1.013 1.054 1.113 Parameter 2 1.093 1.133 0.202 0.296 0.378 0.451 0.514 0.578 0.646 0.702 0.755 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.064 0.094 0.181 0.272 0.352 0.423 0.482 0.543 0.605 0.659 0.711 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.056 0.088 0.175 0.263 0.342 0.411 0.468 0.528 0.587 0.642 0.691 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 41 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Lymphoid Parameter 1 0.937 0.933 0.936 0.934 0.938 0.960 0.985 1.045 1.091 1.138 1.203 Ovaries Parameter 1 0.837 0.837 0.840 0.838 0.839 0.859 0.885 0.938 0.980 1.019 1.078 Remainder Parameter 1 0.800 0.798 0.801 0.800 0.800 0.819 0.844 0.894 0.935 0.972 1.028 Parameter 2 0.231 0.245 0.292 0.366 0.439 0.509 0.569 0.631 0.700 0.761 0.819 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.062 0.088 0.171 0.255 0.331 0.398 0.454 0.512 0.568 0.621 0.670 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.042 0.081 0.161 0.242 0.315 0.379 0.432 0.487 0.542 0.592 0.638 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 42 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Skin Parameter 1 0.842 0.841 0.843 0.842 0.843 0.862 0.888 0.942 0.984 1.024 1.082 Stomach Parameter 1 0.953 0.947 0.957 0.956 0.958 0.979 1.008 1.068 1.117 1.163 1.227 Testes Parameter 1 1.010 1.004 1.014 1.014 1.013 1.039 1.070 1.133 1.186 1.230 1.305 Parameter 2 0.043 0.084 0.169 0.255 0.332 0.399 0.455 0.512 0.570 0.623 0.671 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.081 1.124 0.200 0.295 0.383 0.457 0.521 0.585 0.652 0.713 0.766 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.096 1.136 0.218 0.318 0.407 0.491 0.556 0.624 0.695 0.756 0.821 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 43 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Thymus Parameter 1 0.972 0.966 0.977 0.977 0.978 1.002 1.031 1.091 1.142 1.187 1.258 Thyroid Parameter 1 1.033 1.026 1.040 1.038 1.039 1.064 1.095 1.161 1.213 1.262 1.336 Uterus Parameter 1 0.824 0.825 0.828 0.826 0.827 0.847 0.872 0.924 0.966 1.005 1.062 Parameter 2 1.111 1.146 0.217 0.312 0.395 0.476 0.539 0.606 0.674 0.730 0.795 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.099 1.139 0.226 0.327 0.420 0.502 0.571 0.640 0.714 0.779 0.840 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.068 0.090 0.169 0.253 0.328 0.394 0.448 0.504 0.562 0.614 0.662 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 44 of 65 ATTACHMENT F Photons Less Than 30 keV, Exposure (R) Bladder Parameter 1 0.006 0.206 0.205 0.173 0.165 0.211 0.216 0.163 0.166 0.167 0.177 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Lognormal Lognormal Normal Normal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.171 0.089 0.097 1.858 2.069 0.139 0.150 2.654 2.706 2.909 2.928 Parameter 3 0.454 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Bone (red marrow) Dose distribution Parameter 1 Normal 0.031 Normal 0.031 Lognormal 0.027 Lognormal 0.027 Lognormal 0.025 Normal 0.031 Lognormal 0.024 Lognormal 0.025 Lognormal 0.026 Lognormal 0.026 Lognormal 0.027 Bone surfaces Dose distribution Parameter 1 Normal 0.240 Normal 0.241 Normal 0.241 Lognormal 0.207 Lognormal 0.198 Lognormal 0.189 Lognormal 0.191 Normal 0.270 Lognormal 0.199 Lognormal 0.201 Lognormal 0.209 Parameter 2 0.012 0.013 1.661 1.782 1.994 0.020 2.426 2.582 2.644 2.843 2.814 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Parameter 2 0.097 0.099 0.110 1.787 2.006 2.284 2.425 0.191 2.624 2.838 2.833 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 45 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Breast (female) Dose distribution Parameter 1 Normal 0.536 Normal 0.537 Normal 0.538 Normal 0.535 Normal 0.540 Normal 0.549 Normal 0.568 Normal 0.601 Normal 0.624 Normal 0.656 Normal 0.688 Colon Parameter 1 0.001 0.101 0.101 0.083 0.079 0.076 0.076 0.078 0.080 0.080 0.083 Esophagus Parameter 1 0.000 0.019 0.019 0.018 0.017 0.017 0.017 0.017 0.017 0.018 0.018 Parameter 2 0.144 0.153 0.180 0.218 0.262 0.298 0.338 0.373 0.407 0.448 0.476 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.070 0.048 0.052 1.995 2.200 2.482 2.601 2.778 2.837 3.067 3.047 Parameter 3 0.242 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.013 1.893 1.939 2.043 2.251 2.498 2.704 2.811 2.862 3.106 3.044 Parameter 3 0.059 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 46 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Eye Parameter 1 0.889 0.887 0.888 0.888 0.889 0.907 0.936 0.992 1.038 1.080 1.138 Liver Parameter 1 0.134 0.133 0.116 0.111 0.106 0.102 0.102 0.105 0.107 0.108 0.113 Lung Parameter 1 0.002 0.124 0.126 0.104 0.099 0.095 0.095 0.099 0.100 0.101 0.104 Parameter 2 0.103 0.129 0.202 0.288 0.364 0.432 0.491 0.552 0.617 0.670 0.720 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.060 0.061 1.786 1.925 2.152 2.415 2.542 2.655 2.813 2.978 2.974 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.091 0.056 0.063 1.916 2.129 2.397 2.541 2.710 2.770 2.988 2.964 Parameter 3 0.289 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 47 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Lymphoid Parameter 1 0.937 0.933 0.936 0.934 0.938 0.960 0.985 1.045 1.091 1.138 1.203 Ovaries Parameter 1 0.000 0.064 0.064 0.052 0.050 0.065 0.048 0.050 0.050 0.051 0.053 Remainder Parameter 1 0.091 0.091 0.079 0.077 0.073 0.071 0.070 0.072 0.074 0.074 0.079 Parameter 2 0.231 0.245 0.292 0.366 0.439 0.509 0.569 0.631 0.700 0.761 0.819 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Lognormal Lognormal Normal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.044 0.031 0.033 1.996 2.180 0.045 2.618 2.765 2.826 2.993 3.023 Parameter 3 0.154 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.040 0.041 1.728 1.874 2.055 2.360 2.489 2.611 2.728 2.895 2.894 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 48 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Skin Parameter 1 0.487 0.487 0.488 0.488 0.488 0.499 0.515 0.545 0.570 0.593 0.626 Stomach Parameter 1 0.006 0.208 0.209 0.178 0.170 0.214 0.162 0.166 0.170 0.172 0.179 Testes Parameter 1 0.604 0.601 0.600 0.602 0.600 0.619 0.637 0.670 0.704 0.728 0.777 Parameter 2 0.054 0.068 0.109 0.156 0.199 0.236 0.269 0.303 0.337 0.366 0.394 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Normal Lognormal Lognormal Normal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.175 0.091 0.100 1.868 2.087 0.140 2.526 2.649 2.745 2.939 2.926 Parameter 3 0.466 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.167 0.176 0.207 0.251 0.293 0.344 0.380 0.421 0.464 0.499 0.547 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 49 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Lognormal Lognormal Lognormal Lognormal Thymus Parameter 1 0.315 0.314 0.312 0.313 0.314 0.324 0.332 0.250 0.256 0.259 0.273 Thyroid Parameter 1 0.465 0.462 0.465 0.464 0.465 0.478 0.489 0.520 0.543 0.566 0.600 Uterus Parameter 1 0.000 0.086 0.073 0.070 0.067 0.065 0.065 0.066 0.067 0.068 0.071 Parameter 2 0.128 0.131 0.144 0.164 0.182 0.208 0.228 2.623 2.736 2.879 2.892 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.151 0.158 0.180 0.212 0.246 0.280 0.310 0.341 0.377 0.408 0.439 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Triangular Normal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Lognormal Parameter 2 0.055 0.042 1.874 2.006 2.213 2.497 2.613 2.732 2.863 3.058 3.034 Parameter 3 0.215 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 50 of 65 ATTACHMENT G Neutrons 0.1-2 MeV, Deep Dose Equivalent Bladder Parameter 1 0.806 0.803 0.817 0.815 0.819 0.830 0.860 0.916 0.953 0.995 1.038 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.116 1.150 0.183 0.257 0.328 0.389 0.445 0.507 0.558 0.605 0.648 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Bone (red marrow) Dose distribution Parameter 1 Lognormal 0.373 Lognormal 0.371 Normal 0.379 Normal 0.379 Normal 0.381 Normal 0.386 Normal 0.399 Normal 0.425 Normal 0.443 Normal 0.462 Normal 0.483 Bone surfaces Dose distribution Parameter 1 Lognormal 0.443 Lognormal 0.440 Normal 0.447 Normal 0.447 Normal 0.449 Normal 0.455 Normal 0.471 Normal 0.501 Normal 0.523 Normal 0.544 Normal 0.569 Parameter 2 1.148 1.177 0.090 0.124 0.155 0.185 0.210 0.238 0.263 0.284 0.306 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Parameter 2 1.107 1.144 0.098 0.140 0.178 0.213 0.244 0.275 0.306 0.329 0.355 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 51 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Breast (female) Dose distribution Parameter 1 Normal 1.111 Normal 1.109 Normal 1.115 Normal 1.114 Normal 1.122 Normal 1.136 Normal 1.177 Normal 1.250 Normal 1.304 Normal 1.364 Normal 1.422 Colon Parameter 1 0.507 0.504 0.514 0.514 0.516 0.524 0.542 0.577 0.602 0.627 0.656 Esophagus Parameter 1 0.427 0.427 0.423 0.438 0.441 0.445 0.462 0.491 0.513 0.535 0.557 Parameter 2 0.101 0.138 0.238 0.345 0.444 0.529 0.604 0.685 0.757 0.824 0.883 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.149 1.180 0.124 0.169 0.212 0.251 0.286 0.325 0.356 0.386 0.413 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.197 1.219 1.312 0.153 0.188 0.219 0.248 0.282 0.313 0.337 0.359 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 52 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Eye Parameter 1 1.280 1.277 1.287 1.286 1.293 1.309 1.355 1.443 1.504 1.569 1.637 Liver Parameter 1 0.649 0.654 0.658 0.657 0.660 0.670 0.694 0.737 0.769 0.801 0.838 Lung Parameter 1 0.566 0.561 0.573 0.573 0.576 0.585 0.605 0.642 0.671 0.699 0.732 Parameter 2 0.096 0.147 0.267 0.392 0.504 0.604 0.690 0.787 0.869 0.941 1.012 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.131 0.099 0.150 0.211 0.266 0.316 0.362 0.408 0.452 0.489 0.524 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.161 1.192 0.140 0.192 0.238 0.281 0.320 0.361 0.401 0.432 0.463 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 53 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Lymphoid Parameter 1 1.279 1.278 1.284 1.285 1.293 1.309 1.356 1.439 1.504 1.570 1.637 Ovaries Parameter 1 0.439 0.437 0.432 0.445 0.448 0.453 0.471 0.500 0.521 0.544 0.567 Remainder Parameter 1 0.540 0.536 0.546 0.545 0.549 0.555 0.576 0.612 0.638 0.666 0.694 Parameter 2 0.096 0.146 0.265 0.392 0.506 0.603 0.690 0.782 0.869 0.944 1.010 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.163 1.193 1.290 0.149 0.186 0.218 0.249 0.284 0.312 0.337 0.359 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.130 1.163 0.125 0.175 0.222 0.261 0.301 0.341 0.375 0.408 0.434 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 54 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Skin Parameter 1 0.853 0.853 0.859 0.859 0.864 0.875 0.906 0.963 1.005 1.049 1.094 Stomach Parameter 1 0.829 0.831 0.837 0.838 0.841 0.852 0.882 0.938 0.982 1.021 1.066 Testes Parameter 1 1.280 1.277 1.284 1.285 1.292 1.309 1.354 1.439 1.504 1.569 1.637 Parameter 2 1.065 0.092 0.175 0.260 0.335 0.401 0.460 0.523 0.579 0.627 0.673 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.116 0.116 0.186 0.266 0.335 0.398 0.457 0.517 0.575 0.620 0.662 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.097 0.146 0.266 0.392 0.505 0.603 0.689 0.783 0.869 0.943 1.010 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 55 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Thymus Parameter 1 1.281 1.278 1.286 1.285 1.292 1.308 1.355 1.441 1.503 1.568 1.636 Thyroid Parameter 1 1.050 1.048 1.055 1.055 1.059 1.076 1.113 1.183 1.235 1.286 1.346 Uterus Parameter 1 0.439 0.437 0.432 0.446 0.447 0.454 0.470 0.500 0.522 0.543 0.567 Parameter 2 0.097 0.146 0.267 0.392 0.503 0.602 0.689 0.785 0.868 0.939 1.009 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.108 0.142 0.231 0.331 0.421 0.503 0.575 0.650 0.719 0.779 0.839 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.164 1.192 1.293 0.150 0.186 0.218 0.249 0.282 0.313 0.337 0.359 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 56 of 65 ATTACHMENT H Neutrons 2-20 MeV, Deep Dose Equivalent Bladder Parameter 1 1.100 1.095 1.113 1.110 1.117 1.131 1.171 1.248 1.299 1.356 1.414 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.100 1.138 0.241 0.345 0.442 0.526 0.602 0.686 0.756 0.820 0.878 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Bone (red marrow) Dose distribution Parameter 1 Normal 0.682 Normal 0.681 Normal 0.686 Normal 0.685 Normal 0.689 Normal 0.699 Normal 0.722 Normal 0.769 Normal 0.802 Normal 0.836 Normal 0.875 Bone surfaces Dose distribution Parameter 1 Normal 0.660 Normal 0.659 Normal 0.663 Normal 0.663 Normal 0.665 Normal 0.675 Normal 0.699 Normal 0.743 Normal 0.776 Normal 0.808 Normal 0.844 Parameter 2 0.076 0.096 0.153 0.217 0.275 0.329 0.374 0.425 0.470 0.508 0.547 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Parameter 2 0.055 0.079 0.139 0.204 0.260 0.312 0.358 0.406 0.450 0.485 0.522 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 57 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Breast (female) Dose distribution Parameter 1 Normal 1.109 Normal 1.107 Normal 1.113 Normal 1.112 Normal 1.121 Normal 1.135 Normal 1.175 Normal 1.248 Normal 1.302 Normal 1.362 Normal 1.420 Colon Parameter 1 0.880 0.880 0.886 0.886 0.890 0.903 0.934 0.994 1.037 1.081 1.129 Esophagus Parameter 1 0.844 0.844 0.849 0.849 0.854 0.864 0.895 0.952 0.994 1.037 1.080 Parameter 2 0.119 0.152 0.246 0.351 0.449 0.533 0.608 0.688 0.761 0.829 0.887 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.110 0.117 0.194 0.277 0.353 0.420 0.482 0.548 0.603 0.654 0.700 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.094 0.118 0.190 0.270 0.342 0.404 0.461 0.526 0.584 0.631 0.673 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 58 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Eye Parameter 1 1.207 1.205 1.215 1.213 1.220 1.235 1.279 1.363 1.419 1.481 1.545 Liver Parameter 1 0.984 0.987 0.993 0.993 0.997 1.011 1.048 1.113 1.161 1.211 1.265 Lung Parameter 1 0.947 0.944 0.950 0.950 0.955 0.969 1.002 1.065 1.112 1.159 1.212 Parameter 2 0.134 0.170 0.272 0.384 0.487 0.581 0.661 0.754 0.830 0.898 0.967 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.090 0.122 0.209 0.306 0.392 0.467 0.536 0.607 0.673 0.728 0.781 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.084 0.118 0.202 0.294 0.376 0.448 0.513 0.582 0.646 0.699 0.749 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 59 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Lymphoid Parameter 1 1.205 1.206 1.211 1.213 1.220 1.235 1.279 1.356 1.419 1.482 1.545 Ovaries Parameter 1 0.852 0.851 0.855 0.855 0.860 0.870 0.903 0.959 1.001 1.044 1.089 Remainder Parameter 1 0.870 0.861 0.874 0.872 0.878 0.889 0.921 0.980 1.021 1.066 1.111 Parameter 2 0.133 0.169 0.268 0.383 0.490 0.580 0.661 0.746 0.830 0.903 0.965 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.099 0.124 0.194 0.273 0.345 0.409 0.468 0.533 0.588 0.636 0.679 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.080 1.137 0.187 0.270 0.347 0.412 0.474 0.538 0.593 0.644 0.688 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 60 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Skin Parameter 1 0.898 0.896 0.901 0.902 0.907 0.919 0.951 1.011 1.056 1.102 1.149 Stomach Parameter 1 1.094 1.096 1.103 1.105 1.109 1.123 1.163 1.237 1.294 1.346 1.405 Testes Parameter 1 1.208 1.204 1.210 1.212 1.220 1.234 1.276 1.356 1.418 1.481 1.544 Parameter 2 0.080 0.113 0.193 0.280 0.358 0.427 0.487 0.554 0.613 0.664 0.712 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Lognormal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 1.099 0.140 0.237 0.345 0.437 0.520 0.598 0.677 0.753 0.812 0.868 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.134 0.169 0.270 0.384 0.489 0.579 0.659 0.748 0.831 0.901 0.964 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 61 of 65 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Thymus Parameter 1 1.116 1.113 1.121 1.119 1.126 1.140 1.180 1.256 1.310 1.367 1.425 Thyroid Parameter 1 1.114 1.112 1.120 1.120 1.124 1.141 1.180 1.255 1.311 1.365 1.428 Uterus Parameter 1 0.853 0.851 0.856 0.855 0.858 0.871 0.903 0.960 1.001 1.042 1.089 Parameter 2 0.116 0.149 0.246 0.351 0.446 0.532 0.607 0.692 0.764 0.825 0.887 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.115 0.151 0.245 0.351 0.447 0.534 0.610 0.690 0.763 0.827 0.890 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Percent error 5 10 20 30 40 50 60 70 80 90 100 Dose distribution Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Normal Parameter 2 0.099 0.124 0.195 0.274 0.346 0.409 0.469 0.531 0.589 0.637 0.678 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 62 of 65 ATTACHMENT I Missed Dose Photons less than 30 keV Hp(10) Dose distribution Parameter 1 Parameter 2 Lognormal 0.176 2.003 Lognormal 0.035 1.651 Lognormal 0.251 1.697 Lognormal 1.292 1.664 Lognormal 0.081 2.102 Lognormal 0.018 2.199 Lognormal 10.605 2.191 Lognormal 0.111 2.085 Lognormal 0.100 2.071 Lognormal 0.907 1.631 Lognormal 0.050 2.140 Lognormal 0.092 1.766 Lognormal 7.414 2.382 Lognormal 0.178 2.001 Lognormal 1.567 1.715 Lognormal 0.268 1.982 Lognormal 0.478 1.681 Lognormal 0.067 2.140 Photons 30 to 250 keV Hp(10) Dose distribution Parameter 1 Parameter 2 Lognormal 0.731 1.559 Lognormal 0.344 1.733 Lognormal 0.818 1.573 Lognormal 0.891 1.517 Lognormal 0.573 1.619 Lognormal 0.349 1.753 Lognormal 0.913 1.524 Lognormal 0.598 1.600 Lognormal 0.558 1.592 Lognormal 0.907 1.631 Lognormal 0.499 1.676 Lognormal 0.486 1.624 Lognormal 0.623 1.522 Lognormal 0.736 1.560 Lognormal 1.006 1.517 Lognormal 0.879 1.537 Lognormal 0.958 1.522 Lognormal 0.538 1.632 Organ Bladder Bone (red marrow) Bone surfaces Breast (female) Colon Esophagus Eye Liver Lung Lymphoid Ova ries Remainder Skin Stomach Testes Thymus Thyroid Uterus Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Organ Bladder Bone (red marrow) Bone surfaces Breast (female) Colon Esophagus Eye Liver Lung Lymphoid Ovaries Remainder Skin Stomach Testes Thymus Thyroid Uterus Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 63 of 65 Organ Bladder Bone (red marrow) Bone surfaces Breast (female) Colon Esophagus Eye Liver Lung Lymphoid Ovaries Remainder Skin Stomach Testes Thymus Thyroid Uterus Photons greater than 250 keV Hp(10) Dose distribution Parameter 1 Parameter 2 Lognormal 0.910 1.517 Lognormal 0.709 1.532 Lognormal 0.779 1.521 Lognormal 0.956 1.517 Lognormal 0.858 1.517 Lognormal 0.733 1.528 Lognormal 0.905 1.518 Lognormal 0.865 1.519 Lognormal 0.838 1.519 Lognormal 0.912 1.631 Lognormal 0.850 1.522 Lognormal 0.782 1.521 Lognormal 0.824 1.521 Lognormal 0.916 1.517 Lognormal 0.967 1.518 Lognormal 0.924 1.519 Lognormal 0.996 1.519 Lognormal 0.799 1.517 Photons less than 30 keV (R) Dose distribution Parameter 1 Parameter 2 Lognormal 0.186 1.928 Lognormal 0.028 1.852 Lognormal 0.219 1.877 Lognormal 0.518 1.662 Lognormal 0.088 2.049 Lognormal 0.019 2.104 Lognormal 0.888 1.537 Lognormal 0.118 2.018 Lognormal 0.109 1.997 Lognormal 0.912 1.631 Lognormal 0.056 2.061 Lognormal 0.082 1.938 Lognormal 0.487 1.535 Lognormal 0.190 1.936 Lognormal 0.582 1.672 Lognormal 0.285 1.905 Lognormal 0.440 1.739 Lognormal 0.074 2.058 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Organ Bladder Bone (red marrow) Bone surfaces Breast (female) Colon Esophagus Eye Liver Lung Lymphoid Ovaries Remainder Skin Stomach Testes Thymus Thyroid Uterus Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 64 of 65 Organ Bladder Bone (red marrow) Bone surfaces Breast (female) Colon Esophagus Eye Liver Lung Lymphoid Ovaries Remainder Skin Stomach Testes Thymus Thyroid Uterus Photons 30 to 250 keV (R) Dose distribution Parameter 1 Parameter 2 Lognormal 1.043 1.611 Lognormal 0.443 1.763 Lognormal 1.185 1.640 Lognormal 1.200 1.539 Lognormal 0.818 1.675 Lognormal 0.481 1.786 Lognormal 1.227 1.520 Lognormal 0.846 1.658 Lognormal 0.780 1.644 Lognormal 0.907 1.631 Lognormal 0.700 1.723 Lognormal 0.677 1.675 Lognormal 0.815 1.535 Lognormal 1.050 1.614 Lognormal 1.381 1.540 Lognormal 1.226 1.581 Lognormal 1.311 1.554 Lognormal 0.769 1.687 Photons greater than 250 keV (R) Dose distribution Parameter 1 Parameter 2 Lognormal 0.941 1.523 Lognormal 0.722 1.521 Lognormal 0.786 1.520 Lognormal 0.984 1.521 Lognormal 0.884 1.519 Lognormal 0.751 1.519 Lognormal 0.937 1.527 Lognormal 0.888 1.520 Lognormal 0.865 1.518 Lognormal 0.907 1.631 Lognormal 0.837 1.519 Lognormal 0.799 1.517 Lognormal 0.841 1.517 Lognormal 0.954 1.523 Lognormal 1.011 1.528 Lognormal 0.972 1.533 Lognormal 1.034 1.529 Lognormal 0.825 1.520 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Organ Bladder Bone (red marrow) Bone surfaces Breast (female) Colon Esophagus Eye Liver Lung Lymphoid Ovaries Remainder Skin Stomach Testes Thymus Thyroid Uterus Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Effective Date: 02/14/2005 Revision No. 00 Document No. ORAUT-OTIB -0012 Page 65 of 65 Organ Bladder Bone (red marrow) Bone surfaces Breast (female) Colon Esophagus Eye Liver Lung Lymphoid Ovaries Remainder Skin Stomach Testes Thymus Thyroid Uterus Neutrons 0.1 to 2 MeV Dose distribution Parameter 1 Lognormal 0.808 Lognormal 0.374 Lognormal 0.444 Lognormal 1.109 Lognormal 0.508 Lognormal 0.428 Lognormal 1.279 Lognormal 0.650 Lognormal 0.567 Lognormal 1.277 Lognormal 0.440 Lognormal 0.541 Lognormal 0.855 Lognormal 0.830 Lognormal 1.279 Lognormal 1.279 Lognormal 1.046 Lognormal 0.440 Neutrons 2 to20 MeV Dose distribution Parameter 1 Lognormal 1.102 Lognormal 0.679 Lognormal 0.659 Lognormal 1.105 Lognormal 0.880 Lognormal 0.840 Lognormal 1.202 Lognormal 0.986 Lognormal 0.946 Lognormal 1.200 Lognormal 0.848 Lognormal 0.868 Lognormal 0.896 Lognormal 1.096 Lognormal 1.203 Lognormal 1.112 Lognormal 1.110 Lognormal 0.849 Parameter 2 1.537 1.552 1.533 1.532 1.548 1.574 1.524 1.542 1.550 1.525 1.551 1.540 1.521 1.537 1.525 1.526 1.536 1.552 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Organ Bladder Bone (red marrow) Bone surfaces Breast (female) Colon Esophagus Eye Liver Lung Lymphoid Ovaries Remainder Skin Stomach Testes Thymus Thyroid Uterus Parameter 2 1.532 1.540 1.527 1.539 1.532 1.539 1.536 1.528 1.526 1.537 1.536 1.529 1.528 1.531 1.537 1.536 1.536 1.538 Parameter 3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000