Synthesis of radiological models and radiological invariants (constants). Part 3: Synthesis of population-phenomenological models and Klepper model

Abstract

The goal of this work was to synthesize Klepper mathematical models (MM), which describes the probability of post-radiation complications (PRC) in tissue subjected to radiation therapy with given scheme of dose fractionating (DF), and population-phenomenological (PP) MMs PP3 and PP4, which describe equivalent DF schemes for a fixed PRC value. Construction of synthesized MMs (SMMs) becomes possible only on the basis of several assumptions requiring further clinical validation. Synthesized MMs can be used for determination of the optimal dynamic conditions of irradiation of malignant tumors. These conditions include the optimal physical plan of irradiation and the optimal time scheme of its implementation. Synthesis of MMs leads to determination of radiological invariants (constants), which can become a basis for a new branch of medical science, quantitative radiology.