[Analysis of geometric parameters and mechanical properties of erythrocytes by filtration through nuclear membrane filters. II. Experimental verification of a mathematical model]. / Analiz geometricheskikh parametrov i mekhanicheskikh svoistv éritrotsitov metodom fil'tratsii cherez membrannye iadernye fil'try. II. Eksperimental'naia proverka matematicheskoi modeli.

In the accompanying paper the process of erythrocyte passage through pores of membrane nuclear filters has been modelled. In order to test the model we have studied how the filtration rate of human erythrocyte suspension depends on osmoticity of the resuspending medium at various experimental conditions. We have tested and verified the model conclusion that the zero filtration rate is reached at the critical osmoticity value which depends only on geometrical parameters of the pore and the cell and not on other properties of the erythrocyte. It has been demonstrated that the relative filtration rate only weakly depends on the hydrostatic pressure, in agreement with the model predictions. There is a good correspondence between the model and the experimental data about how the filtration rate is influenced by the viscosity of the intracellular content and the mechanical characteristics of the erythrocyte membrane at various temperatures.

[Analysis of geometric parameters and mechanical properties of erythrocytes by filtration through nuclear membrane filters. I. A mathematical model]. / Analiz geometricheskikh parametrov i mekhanicheskikh svoistv éritrotsitov metodom fil'tratsii cherez membrannye iadernye fil'try. I. Matematicheskaia model'.

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.