Flexive and propulsive dynamics of elastica at low reynolds number

Physical Review Letters

Volumn 80, Issue 17, 1998, Pages 3879-3882

  Wiggins, Chris H ^a   Goldstein, Raymond E ^b  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001043429     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.80.3879     Document Type: Article

References (24)

1. S. Childress, Swimming and Flying in Nature (Cambridge University Press, Cambridge, England, 1981).
2. E. M. Purcell, Am. J. Phys., 45, 3, (1977).
3. Low Reynolds Number Flows, film (Encyclopædia Brittanica Educational Corporation, New York, 1966).
4. Sir J. Lighthill, Mathematical Biofluiddynamics (SIAM, Philadelphia, 1975).
5. K. E. Machin, J. Exp. Biol., 35, 796, (1958).
6. W. Ludwig, Z. Vergl. Physiol., 13, 397, (1930).
7. D. Riveline, C. H. Wiggins, R. E. Goldstein and A. Ott, Phys. Rev. E., 56, 1330, (1997).
8. J. Keller and S. Rubinow, J. Fluid Mech., 75, 705, (1976).
9. G. G. Stokes, Trans. Cambridge Philos. Soc., 9, 8, (1851).
10. C. Wiggins, D. Riveline, R. Goldstein and A. Ott, Biophys. J., 74, 1043, (1998).
11. J. Käs, H. Strey, M. Baermann and E. Sackmann, Europhys. Lett., 21, 865, (1993);
12. A. Ott, M. Magnasco, A. Simon and A. Libchaber, Phys. Rev. E., 48, 1642, (1993).
13. G. I. Taylor, Proc. R. Soc. London A., 211, 225, (1952).
14. E. M. Purcell, Proc. Natl. Acad. Sci. U.S.A., 94, 11307, (1997).
15. T. R. Strick, J.-F. Allemand, D. Bensimon, A. Bensimon and V. Croquette, Science., 271, 1835, (1996).
16. C. Levinthal and H. R. Crane, Proc. Natl. Acad. Sci. U.S.A., 42, 436, (1956).
17. C. Brennan and H. Winet, Annu. Rev. Fluid Mech., 9, 339, (1997).
18. L. Landau and L. Lifshitz, Theory of Elasticity (Pergamon, New York, 1986), p. 102.
19. F. Gittes, B. Mickey, J. Nettleton and J. Howard, J. Cell. Biol., 120, 923, (1993).
20. H. Felgner, R. Frank and M. Schliwa, J. Cell Sci., 109, 509, (1996).
21. R. E. Goldstein and S. A. Langer, Phys. Rev. Lett., 75, 1094, (1995).
22. H. Hasimoto, J. Fluid Mech., 51, 477, (1972);
23. G. Darboux, Leçons sur la Théorie Genérale des Surfaces (Gauthier-Villars, Paris, 1915), Vol. I, p. 22.
24. R. E. Goldstein, T. R. Powers and C. H. Wiggins (to be published).