Resting shape and spontaneous membrane curvature of red blood cells

Mathematical Medicine and Biology

Volumn 22, Issue 1, 2005, Pages 34-52

  Pozrikidis, C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Boundary value problems; Membranes; Red blood cells; Shell theory

Indexed keywords

BENDING MOMENTS; BLOOD; CELLS; CONSTITUTIVE EQUATIONS; CYTOLOGY; LIPID BILAYERS;

BOUNDARY-VALUE PROBLEM; CELL-BASED; CYTOSKELETONS; MEMBRANE BENDING; MEMBRANE CURVATURE; MEMBRANE TENSION; PHYSICAL ASSUMPTIONS; RED BLOOD CELL; SHELL THEORY; SPONTANEOUS CURVATURE;

BOUNDARY VALUE PROBLEMS;

ANISOTROPY; ARTICLE; CELL SWELLING; CYTOSKELETON; ERYTHROCYTE; ERYTHROCYTE MEMBRANE; ERYTHROCYTE SHAPE; ERYTHROCYTE STRUCTURE; ERYTHROCYTE VOLUME; GEOMETRY; LIPID BILAYER; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; PREDICTION; SHEAR STRESS; STRESS;

EID: 17144391088     PISSN: 14778599     EISSN: None     Source Type: Journal    
DOI: 10.1093/imammb/dqh021     Document Type: Article

References (30)

1. Alberts, B., Bray, D., Lewis, J., Raff, M., Roberts, K. & Watson, J. D. (1981) Molecular Biology of the Cell. New York: Garland.
2. Blyth, M. & Pozrikidis, C. (2004) Solution space of axisymmetric capsules enclosed by elastic membranes. Eur. J. Mech. A Solids, 23, 877-892.
3. Boruvka, L. & Neumann, A. W. (1977) Generalization of the classical theory of capillarity. J. Chem. Phys., 66, 5464-5476.
4. Canham, P. B. (1970) The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell. J. Theor. Biol., 26, 61-81.
5. Deuling, H. J. & Helfrich, W. (1976) Red blood cell shapes as explained on the basis of curvature elasticity. Biophys. J., 16 861-868.
6. Evans, E. (1974) Bending resistance and chemically induced moments in membrane bilayers. Biophys. J., 14, 923-931.
7. Evans, E. & Fung, Y.-C. (1972) Improved measurements of the erythrocyte geometry. Microvasc. Res., 4, 335-347.
8. Evans, E. A. & Skalak, R. (1980) Mechanics and Thermodynamics of Biomembranes. Boca Raton, FL: CRC Press.
9. Evans, E. A. & Yeung, A. (1994) Hidden dynamics in rapid changes of bilayer shape. Chem. Phys. Lipids, 73, 39-56.
10. Fung, Y.-C. (1981) Biomechanics. New York: Springer.
11. Helfrich, W. & Deuling, H. J. (1975) Some theoretical shapes of red blood cells. J. Physique, 36-C1, 327-329.
12. Hu, J.-G. & Ou-Yang, Z.-C. (1993) Shape equations of the axisymmetric vesicles. Phys. Rev. E, 47, 461-467.
13. Hwang, W. C. & Waugh, R. E. (1997) Energy of dissociation of lipid bilayer from the membrane skeleton of red blood cells. Biophys. J., 72, 2669-2678.
14. Jenkins, J. T. (1977) Static equilibrium configurations of a model red blood cell. J. Math. Biol., 4, 149-169.
15. Kralchevsky, P. A., Eriksson, J. C. & Ljunggren, S. (1994) Theory of curved interfaces and membranes: mechanical and thermodynamic approaches. Adv. Colloid. Interface Sci., 48, 19-59.
16. Lenormand, G., Hénon, S., Richert, A., Siméon, J. & Gallet, F. (2001) Direct measurement of the area expansion and shear moduli of the human red blood cell membrane skeleton. Biophys. J., 81, 43-56.
17. Mohandas, N. & Evans, E. (1994) Mechanical properties of the red cell membrane in relation to molecular structure and genetic defects. Annu. Rev. Biophys. Biomol. Struct., 23, 787-818.
18. Møllmann, H. (1981) Introduction to the Theory of Thin Shells. New York: Wiley.
19. Navot, Y. (1998) Elastic membranes in viscous shear flow. Phys. Fluids, 10, 1819-1833.
20. Ou-Yang, Z.-C. & Helfrich, W. (1989) Bending energy of vesicle membranes: general expressions for the first, second, and third variation of the shape energy and applications to spheres and cylinders. Phys. Rev. A, 39, 5280-5288.
21. Pamplona, D. C. & Calladine, C. R. (1993) The mechanics of axially symmetric liposomes. J. Biomech. Engrg., 115, 149-159.
22. Pamplona, D. C. & Calladine, C. R. (1996) Aspects of the mechanics of lobed liposomes. J. Biomech. Engrg., 118, 482-488.
23. Pozrikidis, C. (1997) Introduction to Theoretical and Computational Fluid Dynamics. New York: Oxford University Press.
24. Pozrikidis, C. (2002) Buckling and collapse of open and closed cylindrical shells. J. Engrg. Math., 42, 157-180.
25. Pozrikidis, C. (2003) Deformed shapes of axisymmetric capsules enclosed by elastic membranes. J. Engrg. Math., 45, 169-182.
26. Secomb, T. W. (1988) Interaction between bending and tension forces in bilayer membranes. Biophys. J., 54, 743-746.
27. Steck, T. L. (1989) Red cell shape. Cell Shape: Determinants, Regulation, and Regulatory Role. San Diego, CA: Academic.
28. Svoboda, K., Schmidt, C. F., Branton, D. & Block, S. M. (1992) Conformation and elasticity of the isolated red blood cell membrane skeleton. Biophys. J., 63, 784-793.
29. Waugh, R. E. & Hochmuth, R. M. (1987) Mechanical equilibrium of the thick, hollow, liquid membrane cylinders. Biophys. J., 52 391-400.
30. Zarda, P. R., Chien, S. & Skalak, R. (1977) Elastic deformations of red blood cells. J. Biomech., 10, 211-221.