Activating membranes

Physical Review Letters

Volumn 112, Issue 25, 2014, Pages

  Maitra, Ananyo ^a   Srivastava, Pragya ^b   Rao, Madan ^b,c   Ramaswamy, Sriram ^a,d  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b RAMAN RESEARCH INSTITUTE   (India)

^c TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^d TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

Author keywords

[No Author keywords available]

Indexed keywords

PROTEINS;

ACTIVE MEMBRANES; ACTIVE STRESS; CELLULAR CONTEXTS; DYNAMICAL FEATURES; DYNAMICAL THEORY; MEMBRANE INSTABILITY; ORIENTATIONAL CORRELATIONS; SHAPE OSCILLATION;

MEMBRANES;

BIOLOGICAL MODEL; CELL MEMBRANE; PHYSIOLOGY;

CELL MEMBRANE; MODELS, BIOLOGICAL;

EID: 84903520892     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.258101     Document Type: Article

References (56)

1. J. Allard and A. Mogilner, Curr. Opin. Cell Biol. 25, 107 (2013). COCBE3 0955-0674 10.1016/j.ceb.2012.08.012
2. C.H. Chen, F.C. Tsai, C.C. Wang, and C.H. Lee, Phys. Rev. Lett. 103, 238101 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.238101
3. H.G. Döbereiner, B.J. Dubin-Thaler, J.M. Hofman, H.S. Xenias, T.N. Sims, G. Giannone, M.L. Dustin, C.H. Wiggins, and M.P. Sheetz, Phys. Rev. Lett. 97, 038102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.038102 (Pubitemid 44100065)
4. K. Doubrovinski and K. Kruse, Phys. Rev. Lett. 107, 258103 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.258103
5. A. Gholami, M. Enculescu, and M. Falcke, New J. Phys. 14, 115002 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/11/115002
6. M.C. Marchetti, J.F. Joanny, S. Ramaswamy, T.B. Liverpool, J. Prost, M. Rao, and R.A. Simha, Rev. Mod. Phys. 85, 1143 (2013). RMPHAT 0034-6861 10.1103/RevModPhys.85.1143
7. R. Shlomovitz and N.S. Gov, Phys. Rev. Lett. 98, 168103 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.168103 (Pubitemid 46633672)
8. J. Prost and R. Bruinsma, Europhys. Lett. 33, 321 (1996); EULEEJ 0295-5075 10.1209/epl/i1996-00340-1
9. S. Ramaswamy, J. Toner, and J. Prost, Pramana 53, 237 (1999); 0304-4289 10.1007/s12043-999-0152-2
10. S. Ramaswamy and M. Rao, C. R. Acad. Sci. Paris, Série IV 2, 817 (2001). 0764-4469.
11. S. Ramaswamy, J. Toner, and J. Prost, Phys. Rev. Lett. 84, 3494 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.3494
12. J.-B. Manneville, P. Bassereau, S. Ramaswamy, and J. Prost, Phys. Rev. E 64, 021908 (2001). PLEEE8 1063-651X 10.1103/PhysRevE.64.021908
13. No substrate is present to provide a fixed reference horizontal, unlike in Ref. [43].
14. Our boundary conditions and geometry differ from those of N. Sarkar and A. Basu, Eur. Phys. J. E 35, 115 (2012); EPJSFH 1292-8941 10.1140/epje/i2012- 12115-9
15. N. Sarkar and A. Basu, Eur. Phys. J. E 36, 86 (2013). EPJSFH 1292-8941 10.1140/epje/i2013-13086-y
16. We ignore the fluctuations of the concentration of the filaments in the bulk fluid.
17. R. Aris, Vectors, Tensors, and the Basic Equations of Fluid Mechanics (Dover, USA, 1989).
18. D. Hu and P. Zhang, Phys. Rev. E 75, 041605 (2007). PLEEE8 1539-3755 10.1103/PhysRevE.75.041605 (Pubitemid 46680271)
19. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.112.258101, which contains Ref. [17] and in which a figure was generated using Ref. [18].
20. H. Stark and T.C. Lubensky, Phys. Rev. E 67, 061709 (2003). PLEEE8 1063-651X 10.1103/PhysRevE.67.061709
21. pplane 8 developed by J.C. Polking, http://math.rice.edu/~dfield/dfpp. html.
22. H.-Y. Chen, Phys. Rev. Lett. 92, 168101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.168101
23. D. Goswami, K. Gowrishankar, S. Bilgrami, S. Ghosh, R. Raghupathy, R. Chadda, R. Vishwakarma, M. Rao, and S. Mayor, Cell 135, 1085 (2008); CELLB5 0092-8674 10.1016/j.cell.2008.11.032
24. K. Gowrishankar, S. Ghosh, S. Saha, Rumamol C., S. Mayor, and M. Rao, Cell 149, 1353 (2012). CELLB5 0092-8674 10.1016/j.cell.2012.05.008
25. W. Cai and T.C. Lubensky, Phys. Rev. E 52, 4251 (1995). PLEEE8 1063-651X 10.1103/PhysRevE.52.4251
26. N. Kikuchi, A. Ehrlicher, D. Koch, J.A. Kaes, S. Ramaswamy, and M. Rao, Proc. Natl. Acad. Sci. U.S.A. 106, 19776 (2009). PNASA6 0027-8424 10.1073/pnas.0900451106
27. T. Powers and P. Nelson, J. Phys. II (France) 5, 1671 (1995). JPAHER 1155-4312 10.1051/jp2:1995206
28. W. Kung, M.C. Marchetti, and K. Saunders, Phys. Rev. E 73, 031708 (2006); PLEEE8 1539-3755 10.1103/PhysRevE.73.031708
29. R.C. Sarasij, S. Mayor, and M. Rao, Biophys. J. 92, 3140 (2007). BIOJAU 0006-3495 10.1529/biophysj.106.085662 (Pubitemid 46684575)
30. K. Gowrishankar and M. Rao, arXiv:1201.3938.
31. S.R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics (Dover Books on Physics, New York, 1984).
32. F. Jülicher, K. Kruse, J. Prost, and J.-F. Joanny, Phys. Rep. 449, 3 (2007). PRPLCM 0370-1573 10.1016/j.physrep.2007.02.018
33. C. Sykes, J. Prost, and J.F. Joanny, in Actin-based Motility: Cellular, Molecular and Physical Aspects, edited by Marie-France Carlier (Springer, New York, 2010).
34. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics: With Special Applications to Particulate Media (Springer, Leyden, 1973).
35. P.G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993), 2nd ed.
36. Other active terms, bilinear in (Equation presented), are present but do not matter in the subsequent analysis.
37. There can be no monopole term in the force density because of momentum conservation. Such a term is introduced in Ref. [7], but its presence is thereafter rendered innocuous once the authors replace hydrodynamic damping by local friction.
38. Y. Hatwalne, S. Ramaswamy, M. Rao, and R.A. Simha, Phys. Rev. Lett. 92, 118101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.118101
39. Activity can also renormalize the bending rigidity through the interplay of the lowest order polar active term [M.C. Marchetti and T.B. Liverpool, in Cell Motility, edited by P. Lenz (Springer-Verlag, Berlin, 2007)] in the stress, (Equation presented), and an allowed free-energy coupling, (Equation presented).
40. R.H. Rand, Lecture Notes on Nonlinear Vibrations, http://ecommons. cornell.edu/handle/1813/79;
41. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983).
42. N.S. Gov and A. Gopinathan, Biophys. J. 90, 454 (2006). BIOJAU 0006-3495 10.1529/biophysj.105.062224
43. J.V. Small, T. Stradal, E. Vignal, and K. Rottner, Trends Cell Biol. 12, 112 (2002). TCBIEK 0962-8924 10.1016/S0962-8924(01)02237-1 (Pubitemid 34164650)
44. E. Tjhung, D. Marenduzzo, and M.E. Cates, Proc. Natl. Acad. Sci. U.S.A. 109, 12381 (2012). PNASA6 0027-8424 10.1073/pnas.1200843109
45. We ignore other possible terms at this order in gradients and fields [41] which do not play a significant role here.
46. T.D. Pollard and G.G. Borisy, Cell 112, 453 (2003). CELLB5 0092-8674 10.1016/S0092-8674(03)00120-X (Pubitemid 36263079)
47. J. Toner and Y. Tu, Phys. Rev. Lett. 75, 4326 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.75.4326
48. J. Toner and Y. Tu Phys. Rev. E 58, 4828 (1998); PLEEE8 1063-651X 10.1103/PhysRevE.58.4828
49. J. Toner, Y. Tu, and S. Ramaswamy, Ann. Phys. (Amsterdam) 318, 170 (2005). APNYA6 0003-4916 10.1016/j.aop.2005.04.011 (Pubitemid 40829795)
50. E. Bertin, M. Droz, and G. Grégoire, Phys. Rev. E 74, 022101 (2006); PLEEE8 1539-3755 10.1103/PhysRevE.74.022101 (Pubitemid 44943757)
51. H. Chaté, F. Ginelli, G. Grégoire, and F. Raynaud, Phys. Rev. E 77, 046113 (2008); PLEEE8 1539-3755 10.1103/PhysRevE.77.046113 (Pubitemid 351568517)
52. E. Bertin, M. Droz, and G. Grégoire, J. Phys. A 42, 445001 (2009); JPAMB5 1751-8113 10.1088/1751-8113/42/44/445001
53. S. Mishra, A. Baskaran, and M.C. Marchetti, Phys. Rev. E 81, 061916 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.81.061916
54. S. Sankararaman and S. Ramaswamy, Phys. Rev. Lett. 102, 118107 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.118107
55. A. Pande, A. Maitra, R. Pandit, and S. Ramaswamy (to be published);
56. A. Pande, Ph.D. thesis, Indian Institute of Science, 2000.