APPROACHES TO THE QUANTITATIVE ESTIMATION RADIATION INJURY AND LETHALITY“* OF By Gronran A. Sacuzr Division of Biological and Medical Research, Argonne National Laboratory, Lemont, [Uinois INTRODUCTION of turning-over cell populations have begun There are serious difficulties in the way of a satisfactory quantitative theory of the lethal action of ionizing radiations. Since only the occurrence of an all-or-none end-point is observed, the yield of information from exper- iments is small. The nature of the end-point is ill-defined, because several kinds of injury contribute and the relationships among them that determine the boundary between viable and inviable states are not yet known. More- over, several kinds of physiologic injury that have been studied are known to have non-linear dependence on dose and on time, especially when the injury approaches lethal levels. [7,8]. The age-dependence of radiosensitivity is under investigation [9-11]. Strain and species differences in lethal responses are being explored {12-14], but differences with respect to specific physiologic responses are not yet under systematic study. The nature of the statistical relation of mortality to injury is being examined [15]. The above are a few examples of research under way on sometopics that are of immediate relevance to the overall problem of radiation lethality. Many others have not been men- tioned. Some problems have not yet been put under investigation. Foremost among theso is the question of the way in which injury in Thereis also the limitation on the predictability of response imposed by the differences between several independent systems interacts to in- performance from time to time. ceived, but o realization in any meaningful and individuals and by the fluctuation of individual These questions must be answered in order to provide the foundation on which to build an adequate general theory in which lethality becomes an understandable consequence of the failure of adjustment of organisms to their environment. The most significant research contributions in the present period are those which throw light on one or another specific aspect of the total problem. The recovery process is being intensively studied, especially bythe paired-dose technique [1-4]. The sensitivity of specific organ-systems or body regions is under active investigation[5,6]. Theoretical and experimental approaches to the dynamics fluence lethality. The outline of an integrated theory embracing all these aspects can be con- useful sense is not yet within reach. The mathematical treatment of radiation lethality presented below is to be regarded as an approach which is specifically devised to establish some. properties of the lethal response to radiations. The characteristics of radiation lethality revealed by this type of analysis are, like the other physiologic characteristics enumerated above, part of the total response to be accounted for by an adequate theory. In short, the application of a mode of mathematical analysis to lethality does not constitute ipso factv a theory of that subject. “Work performed under the auspives of the U. 8. Atomle Energy Commission. 101