Parametric-Equation Representation of Biconcave Erythrocytes

摘要

The representation of the shape of a biconcave erythrocyte by a set of three parametric equations was achieved by using the expressions that transform the curvilinear co- ordinates from the disc-cyclide coordinate system [denoted J2R; moon and Spencer (1988), Field Theory Handbook, Springer-Verlag, Berlin] to Cartesian coordinates. The equations are products of elliptic functions, so the challenge was to relate the Three major 'shape-defining' measurements of the human erythrocyte in Cartesian Coordinates to three parameters in the new curvilinear coordinates, to give a realistic Representation of the shape of the membrane-surface.