Among the major synonyms of the Shumilov's disease, or otherwise, the disease of minor radiation dosages, are: primarily chronic radiation disease, radiation disease due to internal radiation, disease of accumulation of radionuclids (radiotoxins). The pathology is stipulated by introduction and accumulation of minor dosages of radionuclids, their pathological effect deteriorated with alcoholisation. As a therapy and prevention of advanced pathology, the efferent principle of acceleration of the transit of radionuclids throughout the victim body has been recommended (patent N3352 of December 20, 1999, entitled The Technique of Removal of Radionuclids from the Body issued by the State Patent Committee of the Republic of Byelorussia, the author V.Shumilov, the patent owner the Byelorussian Social-and-Ecological Union Chernobyl). The Chernobyl Atomic Power Station disaster victims are recommended to undergo a regular detoxication by fasting therapy, with subsequent, predominantly vegetarian diet, in-between the repeated courses of fasting therapy. As a specific control of the detoxication, the individual dosimetry of radiotoxins' excretion following the spectrometry of bodily emanation is used. The author provides his recommendations on the technique of out-patient fasting therapy.