Hydrodynamic synchronization of colloidal oscillators

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

Volumn 107, Issue 17, 2010, Pages 7669-7673

  Kotar, Jurij ^a   Leoni, Marco ^a,b,c   Bassetti, Bruno ^b   Lagomarsino, Marco Cosentino ^b,d   Cicuta, Pietro ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF MILAN   (Italy)

^c UNIVERSITY OF BRISTOL   (United Kingdom)

^d CNRS   (France)

Author keywords

Colloidal particles; Hydrodynamic interaction; Metachronal wave; Nonlinear dynamical system; Optical tweezers

Indexed keywords

ARTICLE; COLLOID; EUKARYOTIC FLAGELLUM; FLAGELLUM; HYDRODYNAMICS; MATHEMATICAL ANALYSIS; NOISE; OSCILLATOR; PRIORITY JOURNAL; STATISTICS;

BIOLOGICAL CLOCKS; BIOPHYSICS; CILIA; COLLOIDS; FLAGELLA; HOT TEMPERATURE; NONLINEAR DYNAMICS; OPTICAL TWEEZERS;

EID: 77952331764     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.0912455107     Document Type: Article

References (31)

1. Winfree A (1967) Biological rhythms and the behavior of populations of coupled oscillators. J Theor Biol 16:15-42.
2. Walleczek J (2000) Self-Organized Biological Dynamics & Nonlinear Control (Cambridge Univ Press, New York).
3. Pikovsky A, Rosenblum M, Kurths J (2001) Synchronization (Cambridge Univ Press, Cambridge, U.K.).
4. Bray D (2000) Cell Movements: From Molecules to Motility (Garland Science, New York).
5. Beatus T, Tlusty T, Bar-Ziv R (2006) Phonons in a one-dimensional microfluidic crystal. Nat Phys 2:743-748.
6. Hänggi P, Marchesoni F (2009) Artificial brownian motors: Controlling transport on the nanoscale. Rev Mod Phys 81:387-441.
7. Putz VB, Yeomans JM (2009) Hydrodynamic synchronization of model microswimmers. arXiv:0907.1542v1.
8. Leoni M, Kotar J, Bassetti B, Cicuta P, Cosentino Lagomarsino M (2009) A basic swimmer at low Reynolds number. Soft Matter 5:472-476.
9. Gheber L, Priel Z (1994) Metachronal activity of cultured mucociliary epithelium under normal and stimulated conditions. Cell Motil Cytoskeleton 28:333-345. (Pubitemid 24250821)
10. Cartwright JHE, Piro N, Piro O, Tuval I (2008) Fluid dynamics of nodal flow and left-right patterning in development. Dev Dynam 237:3477-3490.
11. Gueron S, LevitGurevich K, Liron N, Blum J (1997) Cilia internal mechanism and metachronal coordination as the result of hydrodynamical coupling. Proc Natl Acad Sci USA 94:6001-6006.
12. Taylor GI (1951) Analysis of the swimming of microscopic organisms. P R Soc London 209:447-461.
13. Fauci LJ, McDonald A (1995) Sperm motility in the presence of boundaries. Bull Math Biol 57:679-699.
14. Polin M, Tuval I, Drescher K, Gollub JP, Goldstein RE (2009) Chlamydomonas swims with two "gears" in a eukaryotic version of run-and-tumble locomotion. Science 325:487-490.
15. Goldstein RE, Polin M, Tuval I (2009) Noise and synchronization in pairs of beating eukaryotic flagella. Phys Rev Lett 103:168103.
16. Niedermayer T, Eckhardt B, Lenz P (2008) Synchronization, phase locking, and metachronal wave formation in ciliary chains. Chaos 18:037128.
17. Lauga E, Powers TR (2009) The hydrodynamics of swimming microorganisms. Rep Prog Phys 72:096601.
18. Block S (1992) Making light work with optical tweezers. Nature 360:493-495.
19. Meiners JC, Quake SR (1999) Direct measurement of hydrodynamic cross correlations between two particles in an external potential. Phys Rev Lett 82:2211-2214.
20. Hilfinger A, Chattopadhyay AK, Jülicher F (2009) Nonlinear dynamics of cilia and flagella. Phys Rev E 79:051918.
21. Cosentino Lagomarsino M, Jona P, Bassetti B (2003) Metachronal waves for deterministic switching two-state oscillators with hydrodynamic interaction. Phys Rev E 68:021908.
22. Brennen C, Winet H (1977) Fluid mechanics of propulsion by cilia and flagella. Annu Rev Fluid Mech 9:339-398.
23. Qian B, Jiang H, Gagnon DA, Breuer KS, Powers TR (2009) Minimal model for hydrodynamic synchronization. arXiv:0904.2347v2.
24. Doi M, Edwards SF (1986) The Theory of Polymer Dynamics (Oxford Univ Press, New York).
25. Polin M, Grier D, Quake S (2006) Anomalous vibrational dispersion in holographically trapped colloidal arrays. Phys Rev Lett 96:088101.
26. Liverpool TB, MacKintosh F (2005) Inertial effects in the response of viscous and viscoelastic fluids. Phys Rev Lett 95:208303.
27. Ermak DL, McCammon JA (1978) Brownian dynamics with hydrodynamic interactions. J Chem Phys 69:1352-1360.
28. Reimann P, et al. (2002) Diffusion in tilted periodic potentials: Enhancement, universality, and scaling. Phys Rev E 65:031104. (Pubitemid 34495309)
29. Hough LA, Ou-Yang HD (2002) Correlated motions of two hydrodynamically coupled particles confined in separate quadratic potential wells. Phys Rev E 65:021906.
30. Berg HC, Brown DA (1972) Chemotaxis in Escherichia coli analyzed by three-dimensional tracking. Nature 239:500-504.
31. Freund J, Schimansky-Geier L, Hanggi P (2003) Frequency and phase synchronization in stochastic systems. Chaos 13:225-238.