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. 1981 Jun;34(3):409–422. doi: 10.1016/S0006-3495(81)84859-X

The stress-free shape of the red blood cell membrane.

T M Fischer, C W Haest, M Stöhr-Liesen, H Schmid-Schönbein, R Skalak
PMCID: PMC1327484  PMID: 7248469

Abstract

The two main proposals found in the literature for the stress-free shape of the red cell membrane are (a) the bioconcave shape and (b) the sphere of the same surface area. These possibilities are evaluated in this paper using theoretical modeling of equilibrium membrane shapes according to Zarda et al. (1977. J. Biomech. 10:211-221) and by comparison to experiments on red cells whose membrane shear modulus has been increased by treatment with diamide. Neither proposal is found to be compatible with all the experimental behaviour of native red cells. Neither proposal is found to be compatible with all the experimental behaviour of native red cells. To account for this discrepancy we propose that either the shear modulus of the native membrane is dependent on the membrane strain or that the bending stiffness is higher than estimated by Evans (1980. Biophys. J. 30:265-286). These studies suggest that the bioconcave disk is the more likely possibility for the stress-free shape.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Bessis M. La forme et la déformabilité des érythrocytes normaux et dans certaines anémies hémolytiques congénitales. Nouv Rev Fr Hematol Blood Cells. 1977;18(1):75–94. [PubMed] [Google Scholar]
  2. Brailsford J. D., Korpman R. A., Bull B. S. The red cell shape form discocyte to hypotonic spherocyte--a mathematical delineation based on a uniform shell hypothesis. J Theor Biol. 1976 Jul 21;60(01):131–145. doi: 10.1016/0022-5193(76)90159-4. [DOI] [PubMed] [Google Scholar]
  3. Canham P. B., Parkinson D. R. The area and volume of single human erythrocytes during gradual osmotic swelling to hemolysis. Can J Physiol Pharmacol. 1970 Jun;48(6):369–376. doi: 10.1139/y70-059. [DOI] [PubMed] [Google Scholar]
  4. Canham P. B. The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell. J Theor Biol. 1970 Jan;26(1):61–81. doi: 10.1016/s0022-5193(70)80032-7. [DOI] [PubMed] [Google Scholar]
  5. Chien S., Sung K. L., Skalak R., Usami S., Tözeren A. Theoretical and experimental studies on viscoelastic properties of erythrocyte membrane. Biophys J. 1978 Nov;24(2):463–487. doi: 10.1016/S0006-3495(78)85395-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Deuling H. J., Helfrich W. Red blood cell shapes as explained on the basis of curvature elasticity. Biophys J. 1976 Aug;16(8):861–868. doi: 10.1016/S0006-3495(76)85736-0. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Evans E. A. A new material concept for the red cell membrane. Biophys J. 1973 Sep;13(9):926–940. doi: 10.1016/S0006-3495(73)86035-7. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Evans E. A. Bending resistance and chemically induced moments in membrane bilayers. Biophys J. 1974 Dec;14(12):923–931. doi: 10.1016/S0006-3495(74)85959-X. [DOI] [PMC free article] [PubMed] [Google Scholar]
  9. Evans E. A., La Celle P. L. Intrinsic material properties of the erythrocyte membrane indicated by mechanical analysis of deformation. Blood. 1975 Jan;45(1):29–43. [PubMed] [Google Scholar]
  10. Evans E. A. Minimum energy analysis of membrane deformation applied to pipet aspiration and surface adhesion of red blood cells. Biophys J. 1980 May;30(2):265–284. doi: 10.1016/S0006-3495(80)85093-4. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Evans E. A. New membrane concept applied to the analysis of fluid shear- and micropipette-deformed red blood cells. Biophys J. 1973 Sep;13(9):941–954. doi: 10.1016/S0006-3495(73)86036-9. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Evans E. A., Skalak R. Mechanics and thermodynamics of biomembranes: part 2. CRC Crit Rev Bioeng. 1979 Nov;3(4):331–418. [PubMed] [Google Scholar]
  13. Evans E., Fung Y. C. Improved measurements of the erythrocyte geometry. Microvasc Res. 1972 Oct;4(4):335–347. doi: 10.1016/0026-2862(72)90069-6. [DOI] [PubMed] [Google Scholar]
  14. Fischer T. M., Haest C. W., Stöhr M., Kamp D., Deuticke B. Selective alteration of erythrocyte deformabiliby by SH-reagents: evidence for an involvement of spectrin in membrane shear elasticity. Biochim Biophys Acta. 1978 Jul 4;510(2):270–282. doi: 10.1016/0005-2736(78)90027-5. [DOI] [PubMed] [Google Scholar]
  15. Fischer T. M., Stöhr-Lissen M., Schmid-Schönbein H. The red cell as a fluid droplet: tank tread-like motion of the human erythrocyte membrane in shear flow. Science. 1978 Nov 24;202(4370):894–896. doi: 10.1126/science.715448. [DOI] [PubMed] [Google Scholar]
  16. Jay A. W. Geometry of the human erythrocyte. I. Effect of albumin on cell geometry. Biophys J. 1975 Mar;15(3):205–222. doi: 10.1016/S0006-3495(75)85812-7. [DOI] [PMC free article] [PubMed] [Google Scholar]
  17. Jay A. W., Rowlands S. The stages of osmotic haemolysis. J Physiol. 1975 Nov;252(3):817–832. doi: 10.1113/jphysiol.1975.sp011172. [DOI] [PMC free article] [PubMed] [Google Scholar]
  18. Jenkins J. T. Static equilibrium configurations of a model red blood cell. J Math Biol. 1977 May 23;4(2):149–169. doi: 10.1007/BF00275981. [DOI] [PubMed] [Google Scholar]
  19. Skalak R., Tozeren A., Zarda R. P., Chien S. Strain energy function of red blood cell membranes. Biophys J. 1973 Mar;13(3):245–264. doi: 10.1016/S0006-3495(73)85983-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
  20. Waugh R., Evans E. A. Thermoelasticity of red blood cell membrane. Biophys J. 1979 Apr;26(1):115–131. doi: 10.1016/S0006-3495(79)85239-X. [DOI] [PMC free article] [PubMed] [Google Scholar]
  21. Zarda P. R., Chien S., Skalak R. Elastic deformations of red blood cells. J Biomech. 1977;10(4):211–221. doi: 10.1016/0021-9290(77)90044-6. [DOI] [PubMed] [Google Scholar]

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