Topological defects and density fluctuations in collectively moving systems

Proceedings of the National Academy of Sciences of the United States of America

Volumn 110, Issue 12, 2013, Pages 4488-4493

  Schaller, Volker ^a   Bausch, Andreas R ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Active fluids; Nonequilibrium

Indexed keywords

ACTIN FILAMENT; ARTICLE; CONTROLLED STUDY; MOVEMENT (PHYSIOLOGY); NONHUMAN; PRIORITY JOURNAL;

EID: 84875250816     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1215368110     Document Type: Article

References (40)

1. Ballerini M, et al. (2008) Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study. Proc Natl Acad Sci USA 105(4):1232-1237.
2. Buhl J, et al. (2006) From disorder to order in marching locusts. Science 312(5778): 1402-1406.
3. Ward AJW, Sumpter DJT, Couzin ID, Hart PJB, Krause J (2008) Quorum decisionmaking facilitates information transfer in fish shoals. Proc Natl Acad Sci USA 105(19): 6948-6953.
4. Narayan V, Ramaswamy S, Menon N (2007) Long-lived giant number fluctuations in a swarming granular nematic. Science 317(5834):105-108.
5. Kudrolli A, Lumay G, Volfson D, Tsimring LS (2008) Swarming and swirling in selfpropelled polar granular rods. Phys Rev Lett 100(5):058001.
6. Dombrowski C, Cisneros L, Chatkaew S, Goldstein RE, Kessler JO (2004) Self-concentration and large-scale coherence in bacterial dynamics. Phys Rev Lett 93(9): 098103.
7. Zhang HP, Be'er A, Florin EL, Swinney HL (2010) Collective motion and density fluctuations in bacterial colonies. Proc Natl Acad Sci USA 107(31):13626-13630.
8. Angelini TE, et al. (2011) Glass-like dynamics of collective cell migration. Proc Natl Acad Sci USA 108(12):4714-4719.
9. Chen X, Dong X, Be'er A, Swinney HL, Zhang HP (2012) Scale-invariant correlations in dynamic bacterial clusters. Phys Rev Lett 108(14):148101.
10. Wensink HH, et al. (2012) Meso-scale turbulence in living fluids. Proc Natl Acad Sci USA 109(36):14308-14313.
11. Butt T, et al. (2010) Myosin motors drive long range alignment of actin filaments. J Biol Chem 285(7):4964-4974.
12. Schaller V, Weber C, Semmrich C, Frey E, Bausch AR (2010) Polar patterns of driven filaments. Nature 467(7311):73-77.
13. Köhler S, Schaller V, Bausch AR (2011) Collective dynamics of active cytoskeletal networks. PLoS One 6(8):e23798.
14. Sanchez T, Welch D, Nicastro D, Dogic Z (2011) Cilia-like beating of active microtubule bundles. Science 333(6041):456-459.
15. Sumino Y, et al. (2012) Large-scale vortex lattice emerging from collectively moving microtubules. Nature 483(7390):448-452.
16. Deseigne J, Dauchot O, Chaté H (2010) Collective motion of vibrated polar disks. Phys Rev Lett 105(9):098001.
17. Schaller V, Weber C, Frey E, Bausch AR (2011) Polar pattern formation: Hydrodynamic coupling of driven filaments. Soft Matter 7(7):3213-3218.
18. Drescher K, Dunkel J, Cisneros LH, Ganguly S, Goldstein RE (2011) Fluid dynamics and noise in bacterial cell-cell and cell-surface scattering. Proc Natl Acad Sci USA 108(27): 10940-10945.
19. Vicsek T, Czirók A, Ben-Jacob E, Cohen I, Shochet O (1995) Novel type of phase transition in a system of self-driven particles. Phys Rev Lett 75(6):1226-1229.
20. Tu YH, Toner J, Ulm M (1998) Sound waves and the absence of Galilean invariance in flocks. Phys Rev Lett 80:4819-4822.
21. Grégoire G, Chaté H (2004) Onset of collective and cohesive motion. Phys Rev Lett 92(2):025702.
22. Couzin ID, Krause J, Franks NR, Levin SA (2005) Effective leadership and decisionmaking in animal groups on the move. Nature 433(7025):513-516.
23. Chaté H, Ginelli F, Montagne R (2006) Simple model for active nematics: Quasi-longrange order and giant fluctuations. Phys Rev Lett 96(18):180602.
24. Chaté H, Ginelli F, Grégoire G, Raynaud F (2008) Collective motion of self-propelled particles interacting without cohesion. Phys Rev E Stat Nonlin Soft Matter Phys 77(4 Pt 2): 046113.
25. Baskaran A, Marchetti MC (2008) Hydrodynamics of self-propelled hard rods. Phys Rev E Stat Nonlin Soft Matter Phys 77(1 Pt 1):011920.
26. Baskaran A, Marchetti MC (2009) Statistical mechanics and hydrodynamics of bacterial suspensions. Proc Natl Acad Sci USA 106(37):15567-15572.
27. Aranson IS, Tsimring LS (2005) Pattern formation of microtubules and motors: Inelastic interaction of polar rods. Phys Rev E Stat Nonlin Soft Matter Phys 71(5 Pt 1): 050901.
28. Bertin E, Droz M, Grégoire G (2006) Boltzmann and hydrodynamic description for selfpropelled particles. Phys Rev E Stat Nonlin Soft Matter Phys 74(2 Pt 1):022101.
29. Aranson IS, Sokolov A, Kessler JO, Goldstein RE (2007) Model for dynamical coherence in thin films of self-propelled microorganisms. Phys Rev E Stat Nonlin Soft Matter Phys 75(4 Pt 1):040901.
30. Toner J, Tu YH (1998) Flocks, herds, and schools: A quantitative theory of flocking. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 58(4):4828-4858.
31. Aditi Simha R, Ramaswamy S (2002) Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles. Phys Rev Lett 89(5):058101.
32. Kruse K, Joanny JF, Jülicher F, Prost J, Sekimoto K (2004) Asters, vortices, and rotating spirals in active gels of polar filaments. Phys Rev Lett 92(7):078101.
33. Deseigne J, Léonard S, Dauchot O, Chate H (2012) Vibrated polar disks: Spontaneous motion, binary collisions, and collective dynamics. Soft Matter 8(20):5629-5639.
34. Mishra S, Baskaran A, Marchetti MC (2010) Fluctuations and pattern formation in selfpropelled particles. Phys Rev E Stat Nonlin Soft Matter Phys 81(6 Pt 1):061916.
35. Tóth G, Denniston C, Yeomans JM (2002) Hydrodynamics of topological defects in nematic liquid crystals. Phys Rev Lett 88(10):105504.
36. Spudich JA, Watt S (1971) The regulation of rabbit skeletal muscle contraction. I. Biochemical studies of the interaction of the tropomyosin-troponin complex with actin and the proteolytic fragments of myosin. J Biol Chem 246(15):4866-4871.
37. MacLean-Fletcher S, Pollard TD (1980) Identification of a factor in conventional muscle actin preparations which inhibits actin filament self-association. Biochem Biophys Res Commun 96(1):18-27.
38. Margossian SS, Lowey S (1982) Preparation of myosin and its subfragments from rabbit skeletal muscle. Methods Enzymol 85(Pt B):55-71.
39. Schilling J, Sackmann E, Bausch AR (2004) Digital imaging processing for biophysical applications. Rev Sci Instrum 75:2822-2827.
40. Cowen EA, Sveen JK (2004) Quantitative Imaging Techniques and TheirApplication to Wavy Flow PIV and Water Waves, eds Grue J, Liu PLF, Pedersen GK (World Scientific Publishing, Singapore), pp 1-49.