Mathematical simulation of glucose level determination in liquid by the waveguide method

Background. The present work considers an inverse problem of glucose level determination in liquid by the waveguide method. The given problem relates to one of widespread diseases - diabetes mellitus, which is characterized by a high content of glucose in blood. People with diabetes mellitus need insulin injections every day. The insulin dose depends on the glucose level in blood. Glucose concentration in blood is determined, as a rule, invasively through needling a finger. Such needling should be done several times a day. For that reason, nowadays, there are being developed noninvasive methods of determining glucose concentration in blood. The aim of the present research is to develop a mathematical model for glucose level determination in liquid through the waveguide method. Materials and methods. Task setting is reduced to the inverse problem of electrodynamics; the authors have suggested a method to solve the set problem on the basis of general methods of the boundary problem theory, as well as the theory of approximate methods of solving nonlinear equation systems. Results. The authors obtained numerical results of solving test problems, as well as a series of experiments. Conclusions. The researchers obtained numerical results of solving the inverse problem in the case of isotropic single-sectional diaphragm for complex dielectric permeability. The authors completed a series of experiments, proving a dependence of the attenuation coefficient on a glucose level in liquid.