Mathematical modeling in diabetic retinopathy

Abstract

The problem of digital medicine in ophthalmology arose in connection with the increase in the incidence of diabetes mellitus in the world. The issue of preventing blindness and early diagnosis in diabetic retinopathy with a forecast of its course using mathematical modeling is especially acute. A system for assessing the prognosis of the risk of developing diabetic retinopathy was created based on interdisciplinary research in three areas: ophthalmology, biochemistry and mathematics. The studies were conducted in ophthalmology with the analysis of the condition of the retina in the macular area using digital ophthalmic equipment (optical coherence tomograph, fundus microperimeter). Biochemical studies consisted in the analysis of tear fluid with the determination of the level of the pathogenetic biomarker VEGF-A and the analysis of blood serum with the determination of the level of glycated hemoglobin HbA1c. Mathematical research consisted in the presentation of digital material in the form of mathematical criteria based on the method of standardizing the indicator under study. The result of the research was a computer program based on the developed mathematical formulas. The program gives the opportunity to automatically enter the data of a specific patient with diabetic retinopathy and give a prognosis of the disease.