Synthesis of Radiological Models and Radiological Invariants (Constants). Part 1

Abstract

Work is devoted to synthesis of mathematical models (MM) which describe probability of appearance of radiation complication (ARC) in a tissue at the Klepper's fixed scheme of dose fractionation (FD) and Ellis's MM, which describes equivalent schemes FD for fixed value ARC. Creation of synthesized mathematical models(S) appears possible at some assumptions which require a check on the basis of the clinical information are necessary for definition of optimum dynamic conditions of an radiation of cancerous growths which include the optimum physical radiation plan and the optimum scheme its realization in time. The synthesis of MM leads to natural appearance of radiological invariants (constants) which can become a basis for construction of a new scientific direction of quantitative radiology.