Radiation and Environmental Biophysics

, Volume 43, Issue 4, pp 233–245

Flexible dose-response models for Japanese atomic bomb survivor data: Bayesian estimation and prediction of cancer risk

  • James Bennett
  • Mark P. Little
  • Sylvia Richardson
Original Paper

Abstract

Generalised absolute risk models were fitted to the latest Japanese atomic bomb survivor cancer incidence data using Bayesian Markov Chain Monte Carlo methods, taking account of random errors in the DS86 dose estimates. The resulting uncertainty distributions in the relative risk model parameters were used to derive uncertainties in population cancer risks for a current UK population. Because of evidence for irregularities in the low-dose dose response, flexible dose-response models were used, consisting of a linear-quadratic-exponential model, used to model the high-dose part of the dose response, together with piecewise-linear adjustments for the two lowest dose groups. Following an assumed administered dose of 0.001 Sv, lifetime leukaemia radiation-induced incidence risks were estimated to be 1.11×10−2 Sv−1 (95% Bayesian CI −0.61, 2.38) using this model. Following an assumed administered dose of 0.001 Sv, lifetime solid cancer radiation-induced incidence risks were calculated to be 7.28×10−2 Sv−1 (95% Bayesian CI −10.63, 22.10) using this model. Overall, cancer incidence risks predicted by Bayesian Markov Chain Monte Carlo methods are similar to those derived by classical likelihood-based methods and which form the basis of established estimates of radiation-induced cancer risk.

References

  1. 1.
    National Research Council (1990) Committee on the Biological Effects of Ionizing Radiations. Health effects of exposure to low levels of ionizing radiation (BEIR V). National Academy Press, Washington DCGoogle Scholar
  2. 2.
    ICRP (1991) 1990 Recommendations of the International Commission on Radiological Protection. Annals of the ICRP 21 (1–3). Pergamon, OxfordGoogle Scholar
  3. 3.
    UNSCEAR (2000) Sources and effects of ionizing radiation. UNSCEAR 2000 Report to the General Assembly, with scientific annexes. Volume II: Effects. United Nations, New YorkGoogle Scholar
  4. 4.
    Thomas D, Stram D, Dwyer J (1993) Exposure measurement error: influence on exposure-disease relationships and methods of correction. Annu Rev Public Health 14:69–93CrossRefPubMedGoogle Scholar
  5. 5.
    Jablon S (1971) Atomic bomb radiation dose estimation at ABCC. ABCC Technical Report TR 23–71. Atomic Bomb Casualty Commission, HiroshimaGoogle Scholar
  6. 6.
    Gilbert ES (1984) Some effects of random dose measurement errors on analyses of atomic bomb survivor data. Radiat Res 98:591–605PubMedGoogle Scholar
  7. 7.
    Pierce DA, Stram DO, Vaeth M (1990) Allowing for random errors in radiation dose estimates for the atomic bomb survivor data. Radiat Res 123:275–284PubMedGoogle Scholar
  8. 8.
    Pierce DA, Vaeth M (1991) The shape of the cancer mortality dose-response curve for the A-bomb survivors. Radiat Res 126:36–42PubMedGoogle Scholar
  9. 9.
    Pierce DA, Stram DO, Vaeth M, Schafer DW (1992) The errors-in-variables problem: considerations provided by radiation dose-response analyses of the A-bomb survivor data. J Am Stat Assoc 87:351–359Google Scholar
  10. 10.
    Little MP, Muirhead CR (1996) Evidence for curvilinearity in the cancer incidence dose-response in the Japanese atomic bomb survivors. Int J Radiat Biol 70:83–94CrossRefPubMedGoogle Scholar
  11. 11.
    Little MP, Muirhead CR (1997) Curvilinearity in the dose-response curve for cancer in Japanese atomic bomb survivors. Environ Health Perspect 105 [Suppl 6]:1505–1509Google Scholar
  12. 12.
    Little MP, Muirhead CR (1998) Curvature in the cancer mortality dose response in Japanese atomic bomb survivors: absence of evidence of threshold. Int J Radiat Biol 74:471–480CrossRefPubMedGoogle Scholar
  13. 13.
    Little MP, Muirhead CR (2000) Derivation of low-dose extrapolation factors from analysis of curvature in the cancer incidence dose response in Japanese atomic bomb survivors. Int J Radiat Biol 76:939–953CrossRefPubMedGoogle Scholar
  14. 14.
    Little MP, Muirhead CR (2004) Absence of evidence for threshold departures from linear-quadratic curvature in the Japanese A-bomb cancer incidence and mortality data. Int J Low Radiat 1:242–255Google Scholar
  15. 15.
    Little MP (2004) Threshold and other departures from linear-quadratic curvature in the non-cancer mortality dose-response curve in the Japanese atomic bomb survivors. Radiat Environ Biophys 43:67–75CrossRefPubMedGoogle Scholar
  16. 16.
    Carroll RJ, Ruppert D, Stefanski LA (1995) Measurement error in nonlinear models. Chapman and Hall, LondonGoogle Scholar
  17. 17.
    Richardson S, Gilks WR (1993) Conditional independence models for epidemiological studies with covariate measurement error. Stat Med 12:1703–1722PubMedGoogle Scholar
  18. 18.
    Richardson S, Gilks WR (1993) A Bayesian approach to measurement error problems in epidemiology using conditional independence models. Am J Epidemiol 138:430-442.PubMedGoogle Scholar
  19. 19.
    Richardson S, Leblond L, Jaussent I, Green PJ (2002) Mixture models in measurement error problems, with reference to epidemiological studies. J R Stat Soc A 165:549–566CrossRefGoogle Scholar
  20. 20.
    Clayton D (1988) The analysis of event history data: a review of progress and outstanding problems. Stat Med 7:819–841PubMedGoogle Scholar
  21. 21.
    Deltour I, Richardson S, Thomas D (1999) A Bayesian approach to measurement error in dose response analysis: application to the atomic bomb survivors cohort. In: Ron E, Hoffman FO (eds) Uncertainties in radiation dosimetry and their impact on dose-response analyses. DHHS Publication no. 99–4541. National Cancer Institute, National Institutes of Health, Bethesda MD, pp 100–109Google Scholar
  22. 22.
    Richardson S, Deltour I (1999) Bayesian modelling of measurement error problems with reference to the analysis of atomic bomb survivor data. In: Barnett V, Stein A, Feridun Turkman K (eds) Statistics for the environment 4: pollution assessment and control. Wiley, Chichester, pp 259–279Google Scholar
  23. 23.
    Little MP, Deltour I, Richardson S (2000) Projection of cancer risks from the Japanese atomic bomb survivors to the England and Wales population taking into account uncertainty in risk parameters. Radiat Environ Biophys 39:241–252, 40:236Google Scholar
  24. 24.
    Preston DL, Kusumi S, Tomonaga M et al. (1994) Cancer incidence in atomic bomb survivors. Part III: leukemia, lymphoma and multiple myeloma, 1950–1987. Radiat Res 137:S68–97, 139:129PubMedGoogle Scholar
  25. 25.
    Thompson DE, Mabuchi K, Ron E et al. (1994) Cancer incidence in atomic bomb survivors. Part II: solid tumors, 1958–1987. Radiat Res 137:S17–67, 139:129PubMedGoogle Scholar
  26. 26.
    Roesch WC (ed) (1987) US-Japan joint reassessment of atomic bomb radiation dosimetry in Hiroshima and Nagasaki. Radiation Effects Research Foundation, HiroshimaGoogle Scholar
  27. 27.
    Spiegelhalter DJ, Thomas A, Best N, Lunn D (2003) WinBUGS version 1.4. http://www.mrc-bsu.cam.ac.uk/bugs/welcome.shtml. MRC Biostatistics Unit, Cambridge
  28. 28.
    Little MP, Vathaire F de, Charles MW, Hawkins MM, Muirhead CR (1997) Variations with time and age in the relative risks of solid cancer incidence after radiation exposure. J Radiol Prot 17:159–177CrossRefGoogle Scholar
  29. 29.
    Thomas D, Darby S, Fagnani F, Hubert P, Vaeth M, Weiss K (1992) Definition and estimation of lifetime detriment from radiation exposures: principles and methods. Health Phys 63:259–272PubMedGoogle Scholar
  30. 30.
    Office for National Statistics (ONS) (1999) Mortality statistics cause. Review of the Registrar General on deaths by cause, sex and age, in England and Wales, 1998. Series DH2 no. 25. HMSO, LondonGoogle Scholar
  31. 31.
    Little MP, Muirhead CR, Goossens LHJ, Kraan BCP, Cooke RM, Harper FT, Hora SC (1997) Probabilistic accident consequence uncertainty analysis. Late health effects uncertainty assessment. Vol 1. Main Report. NUREG/CR-6555 (EUR 16774; SAND 97–2322). United States Nuclear Regulatory Commission, Washington DCGoogle Scholar
  32. 32.
    Parkin DM, Whelan SL, Ferlay J, Raymond L, Young J (1997) Cancer incidence in five continents. Volume VII. IARC Scientific Publications Number 143. International Agency for Research on Cancer, LyonGoogle Scholar
  33. 33.
    Preston DL, Shimizu Y, Pierce DA, Suyama A, Mabuchi K (2003) Studies of mortality of atomic bomb survivors. Report 13: solid cancer and noncancer disease mortality: 1950–1997. Radiat Res 160:381–407PubMedGoogle Scholar
  34. 34.
    Shimizu Y, Kato H, Schull WJ (1990) Studies of the mortality of A-bomb survivors. 9. Mortality, 1950–1985: Part 2. Cancer mortality based on the recently revised doses (DS86). Radiat Res 121:120–141Google Scholar
  35. 35.
    Cologne JB, Preston DL (2000) Longevity of atomic-bomb survivors. Lancet 356:303–307CrossRefPubMedGoogle Scholar
  36. 36.
    Pierce DA, Preston DL (2000) Radiation-related cancer risks at low doses among atomic bomb survivors. Radiat Res 154:178–186PubMedGoogle Scholar
  37. 37.
    Kellerer AM, Walsh LM, Nekolla EA (2002) Risk coefficient for γ-rays with regard to solid cancer. Radiat Environ Biophys 41:113–123PubMedGoogle Scholar
  38. 38.
    Walsh LM, Rühm W, Kellerer AM (2004) Cancer risk estimates for gamma-rays with regard to organ-specific doses. Part I: All solid cancers combined. Radiat Environ Biophys 43:145–151Google Scholar
  39. 39.
    Muirhead CR, Darby SC (1987) Modelling the relative and absolute risks of radiation-induced cancers. J R Stat Soc A 150:83–118Google Scholar
  40. 40.
    Little MP, Muirhead CR, Charles MW (1999) Describing time and age variations in the risk of radiation-induced solid tumour incidence in the Japanese atomic bomb survivors using generalized relative and absolute risk models. Stat Med 18:17–33CrossRefPubMedGoogle Scholar
  41. 41.
    Straume T, Egbert SD, Woolson WA et al. (1992) Neutron discrepancies in the DS86 Hiroshima dosimetry system. Health Phys 63:421–426PubMedGoogle Scholar
  42. 42.
    Straume T, Harris LJ, Marchetti AA, Egbert SD (1994) Neutrons confirmed in Nagasaki and at the Army Pulsed Radiation Facility: implications for Hiroshima. Radiat Res 138:193–200PubMedGoogle Scholar
  43. 43.
    Straume T, Rugel G, Marchetti AA et al. (2003) Measuring fast neutrons in Hiroshima at distances relevant to atomic-bomb survivors. Nature 424:539–542CrossRefPubMedGoogle Scholar
  44. 44.
    Cullings HM, Fujita S (2003) The way to DS02: resolving the neutron discrepancy. Radiation Effects Research Foundation, Hiroshima. RERF Update 14:17–23Google Scholar
  45. 45.
    Preston DL, Pierce DA, Shimizu Y, Cullings HM, Fujita S, Funamoto S, Kodama K (2004) Effect of recent changes in atomic bomb survivor dosimetry on cancer mortality risk estimates. Radiat Res 162:377–389PubMedGoogle Scholar
  46. 46.
    Pierce DA, Sharp GB, Mabuchi K (2003) Joint effects of radiation and smoking on lung cancer risk among atomic bomb survivors. Radiat Res 159:511–520PubMedGoogle Scholar
  47. 47.
    Rosner B, Willett WC, Spiegelman D (1989) Correction of logistic regression relative risk estimates and confidence intervals for systematic within-person measurement error. Stat Med 8:1051–1069PubMedGoogle Scholar
  48. 48.
    Kuha J (1994) Corrections for exposure measurement error in logistic regression models with an application to nutritional data. Stat Med 13:1135–1148PubMedGoogle Scholar

Copyright information

© Springer 2004

Authors and Affiliations

  • James Bennett
    • 1
  • Mark P. Little
    • 1
  • Sylvia Richardson
    • 1
  1. 1.Department of Epidemiology and Public HealthImperial College Faculty of MedicineLondon UK

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