[Analysis of geometric parameters and mechanical properties of erythrocytes by filtration through nuclear membrane filters. I. A mathematical model]

Abstract

A mathematical model is constructed, which quantitatively describes the rate of erythrocyte passage through pores of nuclear membrane filters during filtration of a diluted erythrocyte suspension upon action of a constant hydrostatic pressure. The following main factors have been taken into account: geometrical constraints linking the surface area of the erythrocyte membrane, the erythrocyte volume and the geometrical parameters of the filter pores; mechanical characteristics of the erythrocyte membrane; viscosity of the intracellular content. Analysis of the model allows us to conclude that it is possible to extract information about all above erythrocyte characteristics from the experimental curves describing, dependency of the filtration rate of the erythrocyte suspension from the osmoticity of the outer medium.