The geometry and optical models of the erythrocyte

Abstract

K.A. Shapovalov

The main axisymmetric geometrical models of erythrocyte’s surface are considered. Usually the axisymmetric models have cross-sections as ellipses, Cassinian Ovals, polynomial curves. Such geometrical models are often based of optical models and applied for the description of 3D erythrocyte’s shape in scanning flow cytometry. We are suggested to use more strict and complicated Perseus curves for the description of cross-sections of the erythrocyte. The formulas for the volume, surface and cross-section areas in the proposed erythrocyte’s model of Perseus curves are obtained. We are revealed that the Perseus curves are approximated to experimental polynomial curves more exact than the Cassinian Ovals. We are numerically compared the phase function of light scattering by the individual erythrocyte in the Rayleigh-Gans-Debye approximation for all main optical models of the red blood cell. The good agreement is demonstrated for the phase function of light scattering by the erythrocyte for the Perseus curves’ model in comparison with polynomial models in the Rayleigh-Gans-Debye approximation.