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A Model for Rouleaux Pattern Formation of Red Blood Cells

In: Biomathematics and Related Computational Problems

Author

Listed:
  • 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)

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.

Suggested Citation

  • Youichi Kobuchi & Tadanao Ito & Atsushi Ogiwara, 1988. "A Model for Rouleaux Pattern Formation of Red Blood Cells," Springer Books, in: Luigi M. Ricciardi (ed.), Biomathematics and Related Computational Problems, pages 371-379, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2975-3_33
    DOI: 10.1007/978-94-009-2975-3_33
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