Bulletin of Mathematical Biology

, Volume 41, Issue 6, pp 899–904 | Cite as

Analytical considerations on a new class of functions for the mathematical description of the human Erythrocyte's profile during the osmotic, “disk-sphere” transition

  • R. Martino
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Abstract

An analytical procedure is used to derive a class of functions for the shapes of the cross section of the human red cell during its osmotic swelling.

Keywords

Mathematical Biology Human Erythrocyte Recursion Formula Italian Society Analytical Consideration 

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Literature

  1. Canham, P. B. 1970. “The Minimum Energy of Bending as a Possible Explanation of the Biconcave Shape of the Human Red Blood Cell.”J. Theoret. Biol.,26, 61–81.CrossRefGoogle Scholar
  2. Cerny, L. C. 1971. “A Model for the Erythrocyte—I.”Biorheology.,7, 213–220.MathSciNetGoogle Scholar
  3. Evans, E. and Y. C. Fung. 1972. “Improved Measurements of the Erythrocyte's Geometry.”Microvasc. Res.,4, 335–347.CrossRefGoogle Scholar
  4. Martino, R., P. Zampirollo and G. Masiero. 1977. “Un Nuovo Modello Matematico per il Globulo Rosso Umano: Rilievi Critici sui Modelli Geometrici già in uso.” XIV Convegno Nazionale SIBBM (XIV Meeting of the Italian Society for Biophysics and Molecular Biology) Napoli, 25–26 October 1977.Google Scholar
  5. Reeves, M. and R. L. Whitmore. 1977. “A Generalised Theory of the Shape of Sectioned Erythrocytes.”Biorheology,14, 167–174.Google Scholar

Copyright information

© Society for Mathematical Biology 1979

Authors and Affiliations

  • R. Martino
    • 1
  1. 1.Institute of Human Physiology (1 Chair)University of PaduaPaduaItaly

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