Abstract:
A model of conditional nonlinear minimization of the erythrocyte membrane's elastic energy has been developed for the calculation its stationary shapes in the two-dimensional approximation in normal conditions and in the existence of external influences. The equilibrium shape was calculated for a given volume and surface area of a normal red blood cell, which qualitatively agrees with the experimentally observed and with the results of a two-dimensional dynamic description of the erythrocyte shape relaxation. The external effects of osmotic pressure or the capillary walls during a red blood cell aspiration are simulated by imposing additional conditions in the form of constraints on the vector- argument of the objective function. The results of the calculation of deformation under the action of osmotic pressure or capillary aspiration of a red blood cell qualitatively correspond to observational data.
