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Groups of eukaryotic cilia and flagella are capable of coordinating their beating over large scales, routinely exhibiting collective dynamics in the form of metachronal waves.
On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers
Lighthill, M.J. 1952 · 1952
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Relations between Metachronism and the Direction of Ciliary Beat in Metazoa
Knight-Jones, E.W. 1954 · 1954
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The biology of cilia and flagella (Ch. 5)
Sleigh, M. A. 1962 · 1962
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The Control and Synchronization of Flagellar Movement
Machin, K.E. 1963 · 1963
Earlier work this paper cites.
The Relation between the Orientation of the Central Fibrils and the Direction of Beat in Cilia of Opalina
Tamm, S.L., Horridge, G.A. 1970 · 1970
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A spherical envelope approach to ciliary propulsion
Blake, J.R. 1971 · 1971
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A note on the image system for a Stokeslet in a no-slip boundary
Blake, J.R. 1971 · 1971
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Ciliary Motion in Paramecium
Tamm, S.L. 1972 · 1972
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Ciliary activity and the origin of metachrony in Paramecium
Machemer, H. 1972 · 1972
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Fluid Mechanics of Propulsion by Cilia and Flagella
Brennen, C., Winet, H. 1977 · 1977
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Protein synthetic patterns during the asexual life cycle of Volvox carteri
Kirk, D.L., Kirk, M.M. 1983 · 1983
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Phaselocking in a Reaction-Diffusion System with a Linear Frequency Gradient
Ermentrout, G.B., Troy, W.C. 1986 · 1986
Earlier work this paper cites.
Mutual Entrainment of Oscillator Lattices with Nonvariational Type Interaction
Sakaguchi, H., Shinomoto, S., Kuramoto, Y. 1988 · 1988
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Energetic considerations of ciliary beating and the advantage of metachronal coordination
Gueron, S., Levit-Gurevich, K. 1999 · 1999
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Hydrodynamic coupling of two Brownian spheres to a planar surface
Dufresne, E.R., Squires, T.M., Brenner, M.P., Grier, D.G. 2000 · 2000
Earlier work this paper cites.
Determination of left–right patterning of the mouse embryo by artificial nodal flow
Nonaka, S., Shiratori, H., Saijoh, Y., Hamada, H. 2002 · 2002
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Metachronal waves for deterministic switching two-state oscillators with hydrodynamic interaction
Lagomarsino, M.C., Jona, P., Bassetti, B. 2003 · 2003
Cited alongside, same era.
Nutrient Uptake by a Self-Propelled Steady Squirmer
Magar, V., Goto, T., Pedley, T.J. 2003 · 2003
Cited alongside, same era.
Synchronization: A Universal Concept in Nonlinear Sciences
Pikovsky, A., Rosenblum, M., Kurths, J. 2003 · 2003
Cited alongside, same era.
Synchronization of rotating helices by hydrodynamic interactions
Reichert, M., Stark, H. 2005 · 2005
Cited alongside, same era.
Volvox: A Search for the Molecular and Genetic Origins of Multicellularity and Cellular Differentiation
Kirk, D.L. 2005 · 2005
Cited alongside, same era.
Hydrodynamic Flow Patterns and Synchronization of Beating Cilia
Vilfan, A., Jülicher, F. 2006 · 2006
Direct Measurement of the Flow Field around Swimming Microorganisms
Drescher, K., Goldstein, R.E., Michel, N., Polin, M., Tuval, I. 2010 · 2010
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Cilia-Like Beating of Active Microtubule Bundles
Sanchez, T., Welch, D., Nicastro, D., Dogic, Z. 2011 · 2011
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Metachronal waves in a chain of rowers with hydrodynamic interactions
Wollin, C., Stark, H. 2011 · 2011
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Generic Conditions for Hydrodynamic Synchronization
Uchida, N., Golestanian, R. 2011 · 2011
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Emergence of Synchronized Beating during the Regrowth of Eukaryotic Flagella
Goldstein, R.E., Polin, M., Tuval, I. 2011 · 2011
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A Periciliary Brush Promotes the Lung Health by Separating the Mucus Layer from Airway Epithelia
Button, B., Cai, L., Ehre, C., Kesimer, M., Hill, D.B., Sheehan, J.K., Boucher, R.C., Rubinstein, M. 2012 · 2012
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Cited alongside, same era.
Collective effects in ciliar arrays
Lenz, P., Ryskin, A. 2006 · 2006
Cited alongside, same era.
Flows driven by flagella of multicellular organisms enhance long-range molecular transport
Short, M.B., Solari, C.A., Ganguly, S., Powers, T.R., Kessler, J.O., Goldstein, R.E. 2006 · 2006
Cited alongside, same era.
Multicellularity and the functional interdependence of motility and molecular transport
Solari, C.A., Ganguly, S., Kessler, J.O., Michod, R.E., Goldstein, R.E. 2006 · 2006
Cited alongside, same era.
Cooperation of sperm in two dimensions: Synchronization, attraction, and aggregation through hydrodynamic interactions
Yang, Y., Elgeti, J., Gompper, G. 2008 · 2008
Cited alongside, same era.
Synchronization, phase locking, and metachronal wave formation in ciliary chains
Niedermayer, T., Eckhardt, B., Lenz, P. 2008 · 2008
Cited alongside, same era.
Minimal model for synchronization induced by hydrodynamic interactions
Qian, B., Jiang, H., Gagnon, D.A., Breuer, K.S., Powers, T.R. 2009 · 2009
Cited alongside, same era.
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Hydrodynamic Synchronization of Light Driven Microrotors
Di Leonardo, R., Búzás, A., Kelemen, L., Vizsnyiczai, G., Oroszi, L., Ormos, P. 2012 · 2012
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Patterns of synchronization in the hydrodynamic coupling of active colloids
Cicuta, G.M., Onofri, E., Lagomarsino, M.C., Cicuta, P. 2012 · 2012
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Collective synchronization states in arrays of driven colloidal oscillators
Lhermerout, R., Bruot, N., Cicuta, G.M., Kotar, J., Cicuta, P. 2012 · 2012
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Hydrodynamic Synchronization and Metachronal Waves on the Surface of the Colonial Alga Volvox carteri
Brumley, D.R., Polin, M., Pedley, T.J., Goldstein, R.E. 2012 · 2012
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Hydrodynamic synchronization between objects with cyclic rigid trajectories
Uchida, N., Golestanian, R. 2012 · 2012
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Generic flow profiles induced by a beating cilium
Vilfan, A. 2012 · 2012
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Emergence of metachronal waves in cilia arrays
Elgeti, J., Gompper, G. 2013 · 2013
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Optimal Hydrodynamic Synchronization of Colloidal Rotors
Kotar, J., Debono, L., Bruot, N., Box, S., Phillips, D., Simpson, S., Hanna, S., Cicuta, P. 2013 · 2013
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Flagellar Synchronization Through Direct Hydrodynamic Interactions
Brumley, D.R., Wan, K.Y., Polin, M., Goldstein, R.E. 2014 · 2014
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Green Algae as Model Organisms for Biological Fluid Dynamics
Goldstein, R.E. 2015 · 2015
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