Abstract
It is shown that the assumption of a cumulative action of many independent random events as the primary cause of induction of a mutation fits the experimental data at least equally as well as the single event hypothesis. The theory is illustrated on the existing data of X-ray induced lethals in the X-chromosome ofDrosophila. Possible shortcomings of the single event theory in connection with these experimental data and alternative ways of its modification are indicated.
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Literature
Caspari, E. and C. Stern. 1948. “The influence of chronic irradiation with gamma-rays at low dosages on the mutation rate inDrosophila melanogaster.”Genetics,33, 75–95.
Castelnuovo, G., 1925.Calcolo delle Probabilità. Bologna: N. Zanichelli.
Catcheside, D. G., 1948. “Genetic effects of radiations.”Advances in Genetics,2, 271–358.
Cavalli, L. L. and N. Visconti di Modrone. 1948–1949. “Variazioni di resistenza agli agenti mutageni in Bacterinm Coli.”Ricerca Scientifica,18, 785–789;19, 863–867.
Cramér, H., 1946.Mathematical Methods of Statistics. Princeton: University Press.
Efroimson, W. P., 1931. “Die transmutierende Wirkung der X-Strahlen.”Biol. Zbl.,51, 491–506.
Fano, U. and M. Demerec. 1944. “Genetics: Physical Aspects.”Medical Physics, ed. O. Glasser, 501–503. Chicago: Yearbook Publishers.
Oliver, C. P., 1932. “An analysis of varying the duration of X-ray treatment upon the frequency of mutation.”Zschr. indukt. Abstammungslehre,61, 447–488.
Opatowski, I. 1950. “On the interpretation of the dose-frequency curve in Radiogenetics.”Genetics,35, 56–59.
Schechtman, I. 1930. “Der Mutationseffekt und die quantitativen Gesetzmässigkeiten der Röntgenstrahlenwirkung.”Zhurnal eksper. biol.,6, 271–279.
Spencer, W. P. and C. Stern 1948. “Experiments to test the validity of the linear R-dose/mutation frequency relation inDrosophila at low dosage.”Genetics,33, 43–74.
Sturtevant, A. H. and G. W. Beadle 1940.Introduction to Genetics. Philadelphia: W. B. Saunders.
Timoféeff-Ressovsky, N. W., 1934. “Einige Versuche anDrosophila melanogaster über die Beziehungen zwischen Dosis und Art der Röntgenbestrahlung und der dadurch ausgelösten Mutationsrate.”Strahlentherapie,49, 463–478.
—, 1937.Experimentelle Mutationsforschung in der Vererbungslehre. Dresden: T. Steinkopf.
Uphoff, D. E. and C. Stern. 1949. “The genetic effects at low intensity irradiation.”Science,109, 609–610.
Uspensky, J. V., 1937.Introduction to Mathematical Theory of Probability. New York: McGraw-Hill.
WPA for the city of New York. 1941.Tables of Probability Functions. Vol. I. Zimmer, K. G. 1934. “Ein Beitrag zur Frage nach der Beziehung zwischen Röntgenstrahlendosis und dadurch ausgelöster Mutationsrate.”Strahlentherapie,51, 179–184.
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Opatowski, I., Christiansen, A.M. On the single event hypothesis in radiogenetics. Bulletin of Mathematical Biophysics 12, 19–26 (1950). https://doi.org/10.1007/BF02477341
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DOI: https://doi.org/10.1007/BF02477341