A Model for Rouleaux Pattern Formation of Red Blood Cells

Youichi Kobuchi, Tadanao Ito and Atsushi Ogiwara
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Youichi Kobuchi: Kyoto University, Department of Biophysics, Faculty of Science
Tadanao Ito: Kyoto University, Department of Biophysics, Faculty of Science
Atsushi Ogiwara: Kyoto University, Department of Biophysics, Faculty of Science

A chapter in Biomathematics and Related Computational Problems, 1988, pp 371-379 from Springer

Abstract: Abstract Human red blood cells in a solution form rouleaux patterns under various conditions. We present a two-dimensional discrete cellular space model in which cells are represented by rectangles and differential adhesion is assumed among the longer(a-site), the shorter (b-site) sides of the rectangle and the solvent. The total sum of the adhesion energy is assumed to guide the step by step change of the model cell configuration and also define absolutely stable patterns. We enumerate the set of absolutely stable patterns under consideration and show the parameter domains where these patterns belong. Analyses reveal that under suitable conditions, decrease in a-site-solvent affinity is necessary to have complex patterns rather than increase of a-a affinity.

Keywords: Parameter Domain; Stable Pattern; Adhesion Energy; Differential Adhesion; Total Surface Free Energy (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-94-009-2975-3_33

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