Summary
The linear-quadratic dependence of effect on the dose of ionizing radiation and its biophysical implications are considered. The estimation of the parameters of the response function and the derivation of the joint confidence region of the estimates are described. The method is applied to the induction of pink mutations inTradescantia which follows the linear-quadratic model. The statistical procedure is also suitable for other response functions.
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References
Conger, A. D.: The fate of metaphase aberrations. Radiation Botan.5, 81–96 (1965)
Draper, N. R., Smith, H.: Applied regression analysis. Wiley 1966
Faddeeva, V. N.: Computational methods of linear algebra. Dover 1959
Hall, E. J., Kellerer, A. M.: The biophysical properties of 3.9-GeV nitrogen ions. Radiation Research55, 422–130 (1973)
Hall, E. J., Rossi, H. H., Kellerer, A. M., Goodman, L., Marino, S.: Radiobiologioal studies with monoenergetic neutrons. Radiation Research54, 431–443 (1973)
Hug, O., Kellerer, A. M.: Stochastik der Strahlenwirkung. Berlin-Heidelberg-New York: Springer 1966
Kellerer, A. M., Rossi, H. H.: The theory of dual radiation action. In: Current Topics in Radiation Research8, 85–158 (1972)
Lea, D. E.: Actions of radiation on living cells. Cambridge: University Press 1946
Pearson, E. S., Hartley, H. D.: Biometrika tables for statisticians, Vol. 1. Cambridge: University Press 1958
Read, J.: The induction of chromosome exchange aberrations by ionizing radiations; the “site concept”. Intern. J. Radiation Biol.9, 53–65 (1965)
Rossi, H. H.: Specification of radiation quality. Radiation Research10, 522–531 (1959)
Rossi, H. H.: Energy distribution in the absorption of radiation. Advances in Biol. and Med. Phys.11, 27–85 (1967)
Rossi, H. H., Kellerer, A. M.: The validity of risk estimates of leukemia based on Japanese data. Radiat. Res. (in press)
Sinclair, W. K.: Radiation survival in synchronous and asynchronous Chinese hamster cellsin vitro. In: Biophysical aspects of radiation quality, pp. 39–54. IAEA, Vienna 1968
Sparrow, A. H., Underbrink, A. G., Rossi, H. H.: Mutations induced in Tradescantia by small doses of X-rays and neutrons: analysis of dose-response curves. Science176, 916–918 (1972)
Wolff, S.: Interpretations of induced chromosome breakage and rejoining. Radiat. Res. Suppl.1, 453–462 (1959)
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Dedicated to Prof. Dr. O. Hug on the occasion of his 60th birthday.
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Kellerer, A.M., Brenot, J. On the statistical evaluation of dose-response functions. Radiat Environ Biophys 11, 1–13 (1974). https://doi.org/10.1007/BF01323095
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DOI: https://doi.org/10.1007/BF01323095