Identification Method of Restrictions of Treatment Method Using Algebraic Model of Constructive Logic on the Example of Hyperbaric Oxygen Therapy in Oncological Pathology

Abstract

Mathematical device of algebraic model of constructive logic has been used for many years for multivariate analysis in medicine and biology most often to identify causal relationships. This mathematical apparatus can be used for more complex analysis schemes for the purpose of determining the contingent of patients who require this method of treatment. The proposed method is a two-step analysis using algebraic model of constructive logic with different specified purposes and subsequent analysis of the resulting final components of the mathematical model. As a result, it is possible to identify restrictions and to quantify the number of patients who need to analyzed method of treatment. The proposed method is explained by an analytical study of hyperbaric oxygen therapy in oncological pathology. Analysis of the results revealed 7,87-39,35% of patients requiring hyperbaric oxygen therapy. The authors revealed the restrictions presented resulting final components of the mathematical model in the form of limits of detection of the combined factors. The equity analysis of values of the resulting components of the mathematical model is associated with the need to calculate the maximum possible total power of the resulting components of the mathematical model, used in expert systems.