title: On a foundation of the Ellis-formula and Strandqvist-function with kinetic equations.
abstract: The Ellis-formula and Strandqvist-function are a useful tool for the treatment of a relationship between time, dose and fractionation in radiation therapy and experimental radiobiology. They can formally be derived from kinetic principles and relaxation methods in chemistry and physics, if all biochemical processes induced by an irradiation are described by a statistical distribution function of relaxations and by a Laplace transformation leading to a Markoff chain. In this way, the connection between kinetic processes in cellular tissue and the empirical relationship of the Ellis-formula and Strandqvist-function can be made apparent.
mesh_terms: D006801:Humans; D008433:Mathematics; D011853:Radiobiology; D011879:Radiotherapy Dosage; D013997:Time Factors