Measurement and analysis of the shape recovery process of each erythrocyte for estimation of its deformability using the microchannel technique: the influence of the softness of the cell membrane and viscosity of the hemoglobin solution inside the cell

Abstract

This study tried to evaluate the deformability of each erythrocyte by measuring the time constant of shape recovery just after the erythrocytes left the microchannels. We fabricated a microchannel array with a 5μm-square, 100μm-long cross-section on a PDMS sheet. Three different kinds of blood samples were prepared—healthy erythrocytes as a control, artificially membrane-hardened erythrocytes and artificial hemoglobin solution-diluted erythrocytes—to investigate the influence of erythrocyte's mechanical property changes on the time constant of shape recovery. These shape recovery processes were modeled and analyzed by a standard liner solid model. As a result, the temporal variation of the compressive strain of all erythrocytes showed exponential decay with time elapsed like a first order lag system, so the time constant of shape recovery could be calculated from the semi-logarithmic relaxation curve. The stiffer the cell membrane was using glutaraldehyde, the shorter the time constant for relaxation became compared to healthy erythrocytes. The diluted hemoglobin erythrocytes snapped back quicker than healthy ones. In addition, the time constant of healthy blood drawn from females was clearly shorter than that collected from males. However, the time constant of fully hemoglobin substituted erythrocytes was not affected by gender difference. These results indicate that there is not a significant difference in the stiffness of healthy cell membranes regardless of individual and gender differences. On the other hand, the viscosity of the hemoglobin solution inside the cell is one of the significant factors affecting the time constant. Therefore, these results suggest that the deformability of individual erythrocytes can be quantitated by the time constant for relaxation measured by microchannel techniques.