title: Mathematical analysis of the effects of geometric parameters and mechanical properties of erythrocytes on the filterability of nonuniform suspensions.
abstract: Approaches to determination of the pattern of erythrocytes distribution with regard to the rates of their passage through pores (3 microm in diameter) of a membrane filter by processing the data on changes in the flow rates of erythrocyte suspensions with time (filtration curves) are discussed. We considered the case when the suspension consisted of two subpopulations of erythrocytes differing in a single parameter. Using a model describing the erythrocyte passage through a pore and a model describing filtration of a nonuniform suspension, we analyzed the dependences of filtration kinetics of such suspensions on the relative contents of the subpopulations and their rheological characteristics. It has been shown that the filtration rates of the major subpopulation and the minor abnormal subpopulation, and their relative contents can be determined from the analysis of filtration curves. This can be done when the filtration rate of cells from the minor subpopulation is at least one order of magnitude lower than the filtration rate of cells from the major subpopulation. Thus we can register the presence of the minor subpopulation in the range of 0.5-1%. If filtration rates are recorded at different osmolalities, their analysis makes it possible to determine the surface area, intracellular viscosity, and membrane rigidity of cells of the major subpopulation and, in certain cases, the same parameters for the cells of the minor subpopulation.
authors.affiliation: Department of Physics, Lomonosov Moscow State University, Russia.
authors.forename: E E
authors.initials: EE
authors.lastname: Yakovenko
authors.forename: I L
authors.initials: IL
authors.lastname: Lisovskaya
authors.forename: F I
authors.initials: FI
authors.lastname: Ataullakhanov
mesh_terms: D004907:Erythrocyte Deformability / Q000502:physiology*; D004912:Erythrocytes / Q000378:metabolism*; D008567:Membranes, Artificial; D008962:Models, Theoretical; D013535:Suspensions / Q000378:metabolism
chemical_list: D008567:Membranes, Artificial; D013535:Suspensions