A Cosserat-type model for the red blood cell wall

International Journal of Engineering Science

Volumn 34, Issue 8, 1996, Pages 873-899

  Krishnaswamy, Shankar ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009970348     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7225(95)00139-5     Document Type: Article

References (31)

1. H. DAVSON and J. F. DANIELLI, The Permeability of Natural Membranes. Cambridge University Press, London (1943).
2. S. J. SINGER and G. L. NICOLSON, Science 175, 720 (1972).
3. E. EVANS and R. SKALAK, Mechanics and Thermodynamics of Biomembranes. CRC Press, Boca Raton, Florida (1980).
4. M. M. CARROLL and P. M. NAGHDI, Arch. Rat. Mech. Anal. 48, 302 (1972).
5. P. M. NAGHDI, The theory of shells and plates. In S. Flugge's Handbuch der Physik, Vol. VIa/2. Springer, Berlin (1972).
6. P. M. NAGHDI, Finite deformation of elastic rods and shells, in Proc. IUTAM Symp. Finite Elasticiy (Edited by D. E. CARLSON and R. T. SHIELD). Martinus Nijhoff, The Hague, The Netherlands (1982).
7. Y. C. FUNG, Z. Angew. Math. Phys., 46, Special Issue (Edited by J. CASEY and M. J. CROCHET) (1995).
8. A. KATCHALSKY, O. KEDEM, C. KLIBANSKY and A. DE VRIES, Rheological considerations of the hemolyzing red blood cell. In Flow Properties of Blood and Other Biological Systems (Edited by A. L. COPLEY and G. STAINSBY). Pergamon Press, Oxford (1960).
9. R. P. RAND and A. C. BURTON, Biophys. J. 4, 115 (1964).
10. R. P. RAND, Biophys. J. 4, 303 (1964).
11. R. M. HOCHMUTH, N. MOHANDAS and P. L. BLACKSHEAR, Jr, Biophys. J. 13, 747 (1973).
12. Y. C. FUNG, Proc. Fed. Am. Soc. Exp. Biol. 25, 1761 (1966).
13. Y. C. FUNG and P. TONG, Biophys. J. 8, 175 (1968).
14. P. B. CANHAM, J. Theor. Biol. 26, 61 (1970).
15. E. EVANS, Biophys. J. 14, 923 (1974).
16. H. J. DEULING and W. HELFRICH, Biophys. J. 16, 861 (1975).
17. W. HELFRICH and H. J. DEULING, J. Phys. 36-cl, 327 (1976).
18. E. EVANS, Biophys. J. 13, 926 (1973).
19. R. SKALAK, A. TOZEREN, R. P. ZARDA and S. CHIEN, Biophys. J. 13, 245 (1973).
20. J. T. JENKINS, SIAM J. Appl. Math. 32, 755 (1977).
21. J. T. JENKINS, J. Math. Biol. 4/2, 149 (1977).
22. J. L. ERICKSEN, Theory of Cosserat surfaces and its applications to shells, interfaces and cell membranes, in Proc. Int. Symp. on Recent Developments in the Theory and Application of Generalized and Oriented Media (Edited by P. G. GLOCKNER, N. EPSTEIN and D. J. MALCOLM), pp. 27-39. Calgary (1979).
23. B. T. STOKKE, A. MIKKELSEN and A. ELGSAETER, Eur. Biophys. J. 4, 203 (1985).
24. B. T. STOKKE, A. MIKKELSEN and A. ELGSAETER, Eur. Biophys. J. 4, 219 (1985).
25. E. EVANS and R. M. HOCHMUTH, J. Membr. Biol. 30, 351 (1977).
26. D. DISCHER, N. MOHANDAS and E. EVANS, Science 266, 1032 (1994).
27. J. CASEY and S. KRISHNASWAMY, A theory of interconnected Cosserat surfaces, in preparation.
28. M. E. GURTIN, An Introduction to Continuum Mechanics. Academic Press, New York (1981).
29. C. TRUESDELL and W. NOLL, The non-linear field theories of mechanics. In S. Flugge's Handbuch der Physik, Vol. III/3. Springer, Berlin (1965).
30. P. R. ZARDA, S. CHIEN and R. SKALAK, J. Biomech. 10, 211 (1977).
31. S. KRISHNASWAMY, A theory of interconnected Cosserat surfaces, with applications. PhD Dissertation, The University of California at Berkeley (1994).