Model for the orientational ordering of the plant microtubule cortical array

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 1, 2010, Pages

  Hawkins, Rhoda J ^a,b,c   Tindemans, Simon H ^a,d   Mulder, Bela M ^a  

^a FOM INSTITUTE AMOLF   (Netherlands)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^c UNIVERSITY OF BRISTOL   (United Kingdom)

^d IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANGLE-DEPENDENT; CONTINUUM MODEL; CONTROL PARAMETERS; CROSSING OVER; EXPERIMENTAL OBSERVATION; ISOTROPIC PHASE; MICROTUBULES; NUCLEATION RATE; ORIENTATIONAL ORDERINGS; ORIENTATIONAL ORDERS; PLANT CELLS; PLASMA MEMBRANES; STATIONARY STATE;

CONTINUUM MECHANICS; CONTROL SYSTEM ANALYSIS; GROWTH KINETICS;

CELL MEMBRANES;

EID: 77954824525     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.011911     Document Type: Article

References (38)

1. Bruce Alberts, Alexander Johnson, Julian Lewis, Martin Raff, Keith Roberts, and Peter Walter. Molecular Biology of the Cell, 4th ed. (Garland Science, New York, 2002).
2. D. W. Ehrhardt and S. L. Shaw, Annu. Rev. Plant Biol. 57, 859 (2006). 10.1146/annurev.arplant.57.032905.105329 (Pubitemid 44061048)
3. A. Paradez, A. Wright, and D. W. Ehrhardt, Curr. Opin. Plant Biol. 9, 571 (2006). 10.1016/j.pbi.2006.09.005 (Pubitemid 44537839)
4. D. J. Cosgrove, Nat. Rev. Mol. Cell Biol. 6, 850 (2005). 10.1038/nrm1746 (Pubitemid 41568734)
5. G. O. Wasteneys and R. E. Williamson, Eur. J. Cell Biol. 50, 76 (1989).
6. F. Kumagai, A. Yoneda, T. Tomida, T. Sano, T. Nagata, and S. Hasezawa, Plant Cell Physiol. 42, 723 (2001). 10.1093/pcp/pce091
7. S. L. Shaw, R. Kamyar, and D. W. Ehrhardt, Science 300, 1715 (2003). 10.1126/science.1083529 (Pubitemid 36712561)
8. J. W. Vos, B. Sieberer, A. C. J. Timmers, and A. M. C. Emons, Cell Biol. Int. 27, 295 (2003). 10.1016/S1065-6995(02)00309-8 (Pubitemid 36398149)
9. A. R. Hardham and B. E. Gunning, J. Cell Biol. 77, 14 (1978). 10.1083/jcb.77.1.14 (Pubitemid 8321753)
10. P. Dhonukshe, A. M. Laxalt, J. Goedhart, T. W. J. Gadella, and T. Munnik, Plant Cell 15, 2666 (2003). 10.1105/tpc.014977 (Pubitemid 37470667)
11. J. C. Gardiner, J. D. Harper, N. D. Weerakoon, D. A. Collings, S. Ritchie, S. Gilroy, R. J. Cyr, and J. Marc, Plant Cell 13, 2143 (2001). 10.1105/tpc.13.9.2143 (Pubitemid 32919023)
12. T. Hashimoto and T. Kato, Curr. Opin. Plant Biol. 9, 5 (2006). 10.1016/j.pbi.2005.11.005 (Pubitemid 43017857)
13. T. Hamada, J. Plant Res. 120, 79 (2007). 10.1007/s10265-006-0057-9
14. V. Kirik, U. Herrmann, C. Parupalli, J. C. Sedbrook, D. W. Ehrhardt, and M. Hülskamp, J. Cell. Sci. 120, 4416 (2007). 10.1242/jcs.024950
15. R. Dixit and R. Cyr, Plant Cell 16, 3274 (2004). 10.1105/tpc.104.026930 (Pubitemid 41096006)
16. A. Mogilner, E. Geigant, and K. Ladizhansky, SIAM J. Appl. Math. 59, 787 (1998). 10.1137/S0036139996309539
17. K. Kruse, J. F. Joanny, F. Jülicher, J. Prost, and K. Sekimoto, Eur. Phys. J. E 16, 5 (2005). 10.1140/epje/e2005-00002-5 (Pubitemid 40226343)
18. I. S. Aranson and L. S. Tsimring, Phys. Rev. E 74, 031915 (2006). 10.1103/PhysRevE.74.031915 (Pubitemid 44494306)
19. V. Rühle, F. Ziebert, R. Peter, and W. Zimmermann, Eur. Phys. J. E 27, 243 (2008). 10.1140/epje/i2007-10377-x
20. S. Portet, J. A. Tuszynski, J. M. Dixon, and M. V. Sataric, Phys. Rev. E 68, 021903 (2003). 10.1103/PhysRevE.68.021903
21. K. Doubrovinski and K. Kruse, Phys. Rev. Lett. 99, 228104 (2007). 10.1103/PhysRevLett.99.228104 (Pubitemid 350198439)
22. A. Zumdieck, M. Cosentino Lagomarsino, C. Tanase, K. Kruse, B. M. Mulder, M. Dogterom, and F. Jülicher, Phys. Rev. Lett. 95, 258103 (2005). 10.1103/PhysRevLett.95.258103 (Pubitemid 41816038)
23. V. A. Baulin, C. M. Marques, and F. Thalmann, Biophys. Chem. 128, 231 (2007). 10.1016/j.bpc.2007.04.009 (Pubitemid 46843449)
24. M. Dogterom and S. Leibler, Phys. Rev. Lett. 70, 1347 (1993). 10.1103/PhysRevLett.70.1347
25. T. Murata, S. Sonobe, T. I. Baskin, S. Hyodo, S. Hasezawa, T. Nagata, T. Horio, and M. Hasebe, Nat. Cell Biol. 7, 961 (2005). 10.1038/ncb1306 (Pubitemid 41486269)
26. T. Murata and M. Hasebe, J. Plant Res. 120, 73 (2007). 10.1007/s10265-006-0054-z
27. R. L. Margolis and L. Wilson, BioEssays 20, 830 (1998). 10.1002/(SICI)1521-1878(199810)20:10<830::AID-BIES8>3.0.CO;2-N (Pubitemid 28486019)
28. M. E. Janson, M. E. de Dood, and M. Dogterom, J. Cell Biol. 161, 1029 (2003). 10.1083/jcb.200301147 (Pubitemid 36870165)
29. M. Golubitsky and D. G. Schaeffer, Singularities and Groups in Bifurcation Theory (Springer-Verlag, Berlin, 1984), Vol. 1.
30. G. Iooss and D. D. Joseph, Elementary Stability and Bifurcation Theory (Springer-Verlag, Berlin, 1980).
31. S. H. Tindemans, R. J. Hawkins, and B. M. Mulder, Phys. Rev. Lett. 104, 058103 (2010). 10.1103/PhysRevLett.104.058103
32. D. A. Barton, M. Vantard, and R. L. Overall, Plant Cell 20, 982 (2008). 10.1105/tpc.108.058503 (Pubitemid 352843974)
33. J. Gaillard, E. Neumann, D. van Damme, V. Stoppin-Mellet, C. Ebel, E. Barbier, D. Geelen, and M. Vantard, Mol. Biol. Cell 19, 4534 (2008). 10.1091/mbc.E08-04-0341
34. A. Roll-Mecak and R. D. Vale, J. Cell Biol. 175, 849 (2006). 10.1083/jcb.200611149 (Pubitemid 44969190)
35. T. Mitchison and M. Kirschner, Nature (London) 312, 237 (1984). 10.1038/312237a0 (Pubitemid 15201998)
36. J. W. Vos, M. Dogterom, and A. M. C. Emons, Cell Motil. Cytoskeleton 57, 246 (2004). 10.1002/cm.10169 (Pubitemid 38419156)
37. E. L. Allgower and K. Georg, Introduction to Numerical Continuation Methods, Classics in Applied Mathematics (SIAM, Philadelphia, 2003), Vol. 45.
38. P. Deuflhard, B. Fiedler, and P. Kunkel, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 24, 912 (1987). 10.1137/0724059