ABOUT OPTIMIZATION METHOD FOR CALCULATION OF MORPHOLOGICAL PROPERTIES OF ERYTHROCYTE AND ITS INTERCELLULAR PRESSURE
In this paper we apply the theory of elasticity and numerical optimization method with the selection of the model parameters to the modeling of morphological and functional properties of the erythrocyte. Erythrocyte model is necessary in order to provide answers to the fundamental questions: why erythrocyte takes the form of a biconcave disk provided content uniformity of erythrocyte? What factors affect the shape of a red blood cell and its elastic properties? How to measure intracellular pressure based on a physical model? Recently, the most interesting and complex experimental data on the structure of the erythrocyte and its cytoskeleton were obtained by atomic force microscopy, which stated that the coefficient of membrane elasticity is 1.4-1.7 kPa, with the rigidity in the center and on the edge of the erythrocyte differ by 25-40%. The paper presents a model for the calculation of morphological properties of erythrocyte depending on intercellular pressure. The model represents the erythrocyte as a homogeneous elastic body with elastic depending on the distance to the center of symmetry of the erythrocyte. The data for modeling were taken from the experimental study, which were used by atomic force microscopy: measuring the elasticity of the membrane of erythrocytes and morphology. In this paper, the following tasks were solved. 1) In the developed model, the elasticity of the membrane to change depending on the distance to the center within 1-1.6 kPa; 2) The calculation of the elastic properties is made by finite element analysis. 3) The selection of the parameters of the membrane is made by optimizing method. 4) In the model the dependence of erythrocyte morphology on the membrane pressure was obtained. 5) We have compared the calculated data with atomic force microscopy, which allowed determining the pressure on the membrane for different morphological forms of erythrocytes. 6) We proposed method of measuring intercellular pressure based on the optimization data.