title: Tissue radiation response with maximum Tsallis entropy.
abstract: The expression of survival factors for radiation damaged cells is currently based on probabilistic assumptions and experimentally fitted for each tumor, radiation, and conditions. Here, we show how the simplest of these radiobiological models can be derived from the maximum entropy principle of the classical Boltzmann-Gibbs expression. We extend this derivation using the Tsallis entropy and a cutoff hypothesis, motivated by clinical observations. The obtained expression shows a remarkable agreement with the experimental data found in the literature.
authors.affiliation: UNED, Departamento de Física Matemática y de Fluidos, 28040 Madrid, Spain. osotolongo@dfmf.uned.es
authors.forename: O
authors.initials: O
authors.lastname: Sotolongo-Grau
authors.forename: D
authors.initials: D
authors.lastname: Rodríguez-Pérez
authors.forename: J C
authors.initials: JC
authors.lastname: Antoranz
authors.forename: Oscar
authors.initials: O
authors.lastname: Sotolongo-Costa
mesh_terms: D002460:Cell Line; D002470:Cell Survival / Q000528:radiation effects; D004307:Dose-Response Relationship, Radiation; D019277:Entropy; D006801:Humans; D008954:Models, Biological; D009928:Organ Specificity / Q000528:radiation effects*; D011827:Radiation