Abstract:
An optimization method for calculating the equilibrium axisymmetric form of a normal erythrocyte is proposed. The calculation procedure is based on the representation of the membrane by a closed mathematical axisymmetric surface and its approximation by a forming polyline. The coordinates of the polyline vertices make up the vector argument of the elastic energy of the membrane. Numerical minimization of this energy, taking into account the geometric constraints on the membrane area and the volume of the erythrocyte (nonlinearly constrained optimization) is carried out with Matlab. The erythrocyte form for the surface energy density in the framework of the Kanhem Helfrich theory is calculated. The calculation results are consistent with the experimental data and with the calculations of other authors.
