InhaltsangabePrelude: Why and to what end mathematical models In radiation biology.- Models of cellular radiation action - an overview.- Finestructures of energy deposition - introductory remarks.- Analytics required by the multiple nature of radiation effects in cells.- Problems in theoretical track structure research for heavy charged particles.- Radiobiological modeling based on track structure.- The role of energy distributions of charged particles in the mutagenic radiation action.- Relative biological effectiveness: review of a model.- Saturation in dual radiation action.- Hit-size effectiveness approach in biophysical modeling.- Interpreting survival observations using phenomenological models.- Cluster theory of the effects of ionizing radiations.- The LETHAL AND POTENTIALLY LETHAL model - a review and recent development.- DNA double-strand breaks and their relation to cytoxicity.- The pairwise lesion interaction model.- A repair fixation model based on classical enzyme kinetics.- Formal, empirical and mechanistic equations in cellular radiation biology.