MATHEMATICAL MODELS OF THE CHOICE OF THE PATTERNS OF PREVENTION OF THE RECURRENCE OF GANGRENE OF THE LOWER LIMBS

The work is devoted to the actual problem of improving the quality of care for patients suffering from critical ischemia of the lower extremities, turning into gangrene, which may result in amputation and even death. In the course of the research it was shown that the task of predicting the recurrence of lower extremity gangrene belongs to the class of poor results, which was the basis for choosing the method of synthesis of hybrid fuzzy decision rules as the basic method for studying the methodological synthesis. During the synthesis of fuzzy decision rules, the choice of informative features obtained during surveys and inspections, instrumental and laboratory research methods was justified. As the basic elements of fuzzy decision rules applied to a class of high risk of gangrene recurrence, which are aggregated into a fuzzy rule for assessing the confidence that the patient will have a relapse of the lower extremities. : Scale of confidence in the development of gangrene: - confidence in the recurrence of gangrene; II-medium confidence in the recurrence of gangrene; III - high confidence in the recurrence of gangrene; IV - very high confidence in the recurrence of gangrene. The classification decision is made based on the maximum value of the prediction functions. For each of the selected classes, the appropriate scheme for the prevention of lower extremity gangrene recurrence, whose effectiveness was tested using measurement theory, as well as the analyzed mathematical model of their choice depending on the degree of lower extremity gangrene recurrence. In the course of statistical tests, it was shown that, compared with traditional schemes to prevent the use of the proposed technologies, increase the rate of positive results by 2.4 times (58%) and reduce the risk of limb amputation by 2.5 times (73%). The results obtained guarantee the proposed mathematical models for use in the practice of vascular surgeons and angiologists

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