Measurement of erythrocyte orientation in flow by spin labeling

Subtitle: II - Phenomenological models for erythrocyte orientation rate

Article type: Research Article

Authors: Bitbol, M. | Quemada, D.

Affiliations: Laboratoire de Biorhéologie et d’Hydrodynamique Physico-Chimique, Laboratoire Associé au C.N.R.S., Université Paris VII, 2 Place Jussieu, 75251, Paris Cedex 05

Note: [] Accepted by: Editor H.L. Goldsmith

Abstract: We present two phenomenological models describing the flowing erythrocyte orientation rate. The first concerns the onset of a stable orientation in a very dilute erythrocyte suspension. It is based on a simple formula for erythrocyte elongation as a function of shear stress, and we assume that beyond a threshold of elongation, erythrocytes take on a stable orientation, while below this threshold, they have a flipping motion. We extend this model to high hematocrit values assuming that the effect of red cell collisions imposes a random moment to each erythrocyte, shifting it from its stable orientation. We obtain an approximate expression for erythrocyte orientation rate as a function of shear rate and then we compare these results to our experimental data in part III of this series.

Keywords: Models, erythrocyte orientation

DOI: 10.3233/BIR-1985-22103

Journal: Biorheology, vol. 22, no. 1, pp. 31-42, 1985