title: Analytical model for effects of shear rate on rouleau size and blood viscosity.
abstract: In this paper, a theoretical model is proposed by using the reversible kinetic equation of colloid coagulation to reveal the effects of erythrocyte aggregation and shear rate on the rouleau size and the blood viscosity. With this model, shear rate gamma dependences of the average size of rouleaux n(e) and the viscosity eta in concentrated red blood cell suspension are derived analytically. In this model, we consider not only the shear rate effect but also the rouleau size effect on the aggregation and degradation mechanism. By comparing with experimental results obtained by Shiga et al., some theoretical parameters have been determined. The variation of rate of rouleau formation with shear rate derived in our model is in fairly good agreement with the experimental results, and the viscosity of the concentrated red cell suspension derived in our model showing shear thinning agrees qualitatively with the experimental results obtained by Chien and Sung.
authors.affiliation: Institute of Low-Energy Nuclear Physics, Beijing Normal University, China. wuyug@bepc2.ihep.ac.cn
authors.forename: J
authors.initials: J
authors.lastname: Chen
authors.forename: Z
authors.initials: Z
authors.lastname: Huang
mesh_terms: D000818:Animals; D001809:Blood Viscosity; D004912:Erythrocytes; D007700:Kinetics; D008433:Mathematics; D008954:Models, Biological; D011817:Rabbits