Theoretical and experimental study of the time dependent flow of red blood cell suspension through narrow pores

Abstract

The Hemorheometer has been adapted to allow the recording of the flow rate during the filtration process. For newtonian fluids, the flow rate variation versus time through the pores is well approximated by Poiseuille’s law. For dilute red blood cell suspensions, the same analysis can be applied by introducing the concept of “apparent filtration viscosity” which is higher than the usual Viscosity measured by Couette viscometry. The apparent filtration viscosity parameter is related to the deformations undergone by red blood cells as they pass through the narrow pores. Apparent filtration viscosity can be used to obtain a precise determination of the erythrocyte deformability. Measurements per-formed / for a given blood sample, with pores of different diameters (5μm, 8μm and 12μm) show that the error on the value of apparent filtration viscosity is less than 3 %. As a result, the sensitivity of the filtration method allows to discriminate among normal blood samples. High concentrations of erythrocytes or leucocytes are found to modify the apparent filtration viscosity. These factors are apparent in the recorded filtration curves. Their effects on filtration measurements can be easily estimated.