Elastic cavitation, tube hollowing, and differential growth in plants and biological tissues

EPL

Volumn 91, Issue 1, 2010, Pages

  Goriely, A ^a   Moulton, D E ^a   Vandiver, R ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b BRYN MAWR COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78751648841     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/91/18001     Document Type: Article

References (35)

1. Patan S., J. Neuro-Oncol., 50 (2000) 1.
2. Fung Y. C., Ann. Biomed. Eng., 19 (1991) 237.
3. Vandiver R. and Goriely A., EPL 84 (2008).
4. Goriely A. and Vandiver R., to be published in IMA J. Appl. Math. (2010) doi:10.1093/imamat/hxq021.
5. Han H. C. and Fung Y. C., J. Biomech., 24 (1991) 307.
6. Goriely A. and Ben Amar M., Phys. Rev. Lett., 94 (2005) 198103.
7. McMahon J., Goriely A. and Tabor M., Math. Mech. Solids, 15 (2008) 57.
8. Kramer P. J., Water Relations of Plants (Academic Press, Inc., Orlando, Fla.) 1983.
9. Sachs J., Text-book of Botany, Morphological and Physiological (Clarendon, Oxford) 1875.
10. Hoga C. J. J. and Niklas K. J., Am. J. Bot., 90 (1990) 356.
11. Raven J. A., Ann. Bot., 78 (1996) 137.
12. Newcombe F. C., Ann. Bot. (London), 8 (1894) 403.
13. Evans D. E., New Phytol., 161 (2003) 35.
14. Kozela C. and Regan S., Trends Plant Sci., 8 (2003) 159.
15. Jackson M. B. and Armstrong W., Plant Biol., 1 (1999) 274.
16. Ball J. M., Philos. Trans. R. Soc. London, Ser. A, 306 (1982) 557.
17. Cho K., Gent A. N. and Lam P. S., J. Mater. Sci., 22 (1987) 2899.
18. Antman S. S., Nonlinear Problems of Elasticity (Springer Verlag, New York) 1995.
19. Fond C., J. Polym. Sci. B: Polym. Phys., 39 (2001) 2081.
20. Pence T. and Tsai H., Math. Mech. Solids, 11 (2006) 527.
21. Rodriguez E. K., Hoger A. and McCulloch A., J. Biomech., 27 (1994) 455.
22. Ogden R. W., Non-linear Elastic Deformation (Dover, New York) 1984.
23. Ben Amar M. and Goriely A., J. Mech. Phys. Solids, 53 (2005) 2284.
24. Horgan C. and Polignone D. A., Appl. Mech. Rev., 48 (1995) 471.
25. Takano M., Takahashi H. and Suge H., Plant Cell Physiol., 36 (2001) 101.
26. Carr S. and Jaffe M., Ann. Bot. (London), 75 (1995) 587.
27. Muto H., Yabe N., Asami T., Hasunuma K. and Yamamoto K., Plant Physiol., 136 (2004) 3124.
28. Jaffe M. and Forbes S., Plant Growth Regul., 12 (1993) 313.
29. Pressman E., Huberman M., Alaoni B. and Jafe M. J., Ann. Bot. (London), 52 (1983) 93.
30. Rivlin R. S., Philos. Trans. R. Soc. London, Ser. A, 242 (1949) 173.
31. Peters W., Hagemann W. and Tomos D. A., Comp. Biochem. Physiol., Part A, 125 (2000) 151.
32. Peters W. S. and Tomos A. D., Ann. Bot. (London), 77 (1996) 657.
33. Niklas K. J., Ann. Bot. (London), 72 (1993) 173.
34. Jarvis M. C., Plant Cell Environ., 21 (1998) 1307.
35. Jarvis M. C., Briggs S. P. H. and Knox J. P., Plant Cell Environ., 26 (2003) 977.