Optimality of contraction-driven crawling

Physical Review Letters

Volumn 112, Issue 21, 2014, Pages

  Recho, P ^a,b   Joanny, J F ^a,c   Truskinovsky, L ^b  

^a INSTITUT CURIE   (France)

^b LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

^c PSL RESEARCH UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS;

ADVECTION AND DIFFUSIONS; CELL MOTILITY; CONTRACTILE ELEMENTS; KERATOCYTES; METABOLIC COST; OPTIMALITY; SELF-PROPULSION;

PHYSICS;

EID: 84901914964     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.218101     Document Type: Article

References (34)

1. D. Hu and D. Cai, Phys. Rev. Lett. 111, 138701 (2013); PRLTAO 0031-9007 10.1103/PhysRevLett.111.138701
2. T. Takahashi, Microcirculation in Fractal Branching Networks (Springer, New York, 2013), pp. 1-24.
3. D. Mortimer, P. Dayan, K. Burrage, and G.J. Goodhill, Neural Comput. 23, 336 (2011). NEUCEB 0899-7667 10.1162/NECO-a-00075
4. V. Chubukov, I.A. Zuleta, and H. Li, Proc. Natl. Acad. Sci. U.S.A. 109, 5127 (2012). PNASA6 0027-8424 10.1073/pnas.1114235109
5. P. Szekely, H. Sheftel, A. Mayo, and U. Alon, PLoS Comput. Biol. 9, e1003163 (2013). 1553-734X 10.1371/journal.pcbi.1003163
6. A. Verkhovsky, T. Svitkina, and G. Borisy, Curr. Biol. 9, 11 (1999). CUBLE2 0960-9822 10.1016/S0960-9822(99)80042-6 (Pubitemid 29045790)
7. G. Taylor, Proc. R. Soc. A 209, 447 (1951). PRLAAZ 1364-5021 10.1098/rspa.1951.0218
8. E. Lauga and T.R. Powers, Rep. Prog. Phys. 72, 096601 (2009). RPPHAG 0034-4885 10.1088/0034-4885/72/9/096601
9. F. Alouges, A. DeSimone, and A. Lefebvre, J. Nonlinear Sci. 18, 277 (2008). JNSCEK 0938-8974 10.1007/s00332-007-9013-7
10. A. DeSimone and A. Tatone, Eur. Phys. J. E 35, 1 (2012). EPJSFH 1292-8941 10.1140/epje/i2012-12085-x
11. P. Recho, T. Putelat, and L. Truskinovsky, Phys. Rev. Lett. 111, 108102 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.108102
12. P.T. Yam, C.A. Wilson, L. Ji, B. Hebert, E.L. Barnhart, N.A. Dye, P.W. Wiseman, G. Danuser, and J.A. Theriot, J. Cell Biol. 178, 1207 (2007). JCLBA3 0021-9525 10.1083/jcb.200706012 (Pubitemid 47480227)
13. A.E. Carlsson, New J. Phys. 13, 073009 (2011). NJOPFM 1367-2630 10.1088/1367-2630/13/7/073009
14. P. Recho and L. Truskinovsky, Phys. Rev. E 87, 022720 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.87.022720
15. B. Rubinstein, M.F. Fournier, K. Jacobson, A.B. Verkhovsky, and A. Mogilner, Biophys. J. 97, 1853 (2009); BIOJAU 0006-3495 10.1016/j.bpj.2009.07. 020
16. A. Jilkine and L. Edelstein-Keshet, PLoS Comput. Biol. 7, e1001121 (2011); 1553-734X 10.1371/journal.pcbi.1001121
17. K. Doubrovinski and K. Kruse, Phys. Rev. Lett. 107, 258103 (2011); PRLTAO 0031-9007 10.1103/PhysRevLett.107.258103
18. N. Hodge and P. Papadopoulos, J. Math. Biol. 64, 1253 (2012); JMBLAJ 0303-6812 10.1007/s00285-011-0446-0
19. 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
20. F. Ziebert and I.S. Aranson, PLoS One 8, e64511 (2013); POLNCL 1932-6203 10.1371/journal.pone.0064511
21. A. Callan-Jones and R. Voituriez, New J. Phys. 15, 025022 (2013); NJOPFM 1367-2630 10.1088/1367-2630/15/2/025022
22. B.A. Camley, Y. Zhao, B. Li, H. Levine, and W.-J. Rappel, Phys. Rev. Lett. 111, 158102 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.158102
23. K. Kruse, J. Joanny, F. Julicher, J. Prost, and K. Sekimoto, Eur. Phys. J. E 16, 5 (2005). EPJSFH 1292-8941 10.1140/epje/e2005-00002-5 (Pubitemid 40226343)
24. F. Julicher, K. Kruse, J. Prost, and J.-F. Joanny, Phys. Rep. 449, 3 (2007). PRPLCM 0370-1573 10.1016/j.physrep.2007.02.018
25. M. Marchetti, J. Joanny, S. Ramaswamy, T. Liverpool, J. Prost, M. Rao, and R.A. Simha, Rev. Mod. Phys. 85, 1143 (2013). RMPHAT 0034-6861 10.1103/RevModPhys.85.1143
26. M.J. Lighthill, Commun. Pure Appl. Math. 5, 109 (1952). CPMAMV 0010-3640 10.1002/cpa.3160050201
27. A.V. Hill, Proc. R. Soc. B 126, 136 (1938). PRLBA4 0080-4649 10.1098/rspb.1938.0050
28. E.M. Purcell, Am. J. Phys. 45, 3 (1977). AJPIAS 0002-9505 10.1119/1.10903
29. U.S. Schwarz and S.A. Safran, Phys. Rev. Lett. 88, 048102 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.048102
30. E.L. Barnhart, K.-C. Lee, K. Keren, A. Mogilner, and J.A. Theriot, PLoS Biol. 9, e1001059 (2011). PBLIBG 1545-7885 10.1371/journal.pbio.1001059
31. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.112.218101 for mathematical solution of the optimization problem, detailed thermodynamical derivation of the physical model, comparison with experiments [5] and the sensitivity study of efficiency with the remaining parameters.
32. J.S. Bois, F. Jülicher, and S.W. Grill, Phys. Rev. Lett. 106, 028103 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.028103
33. T. Luo, K. Mohan, V. Srivastava, Y. Ren, P.A. Iglesias, and D.N. Robinson, Biophys. J. 102, 238 (2012). BIOJAU 0006-3495 10.1016/j.bpj.2011.12. 020
34. J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Sunderland, MA, 2001).