{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,27]],"date-time":"2026-10-27T02:27:30Z","timestamp":1793068050269,"version":"4.5.0"},"reference-count":52,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[2007,3,1]],"date-time":"2007-03-01T00:00:00Z","timestamp":1172707200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2007,3,1]],"date-time":"2007-03-01T00:00:00Z","timestamp":1172707200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2013,7,16]],"date-time":"2013-07-16T00:00:00Z","timestamp":1373932800000},"content-version":"vor","delay-in-days":2329,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":["cell.com","elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Biophysical Journal"],"published-print":{"date-parts":[[2007,3]]},"DOI":"10.1529\/biophysj.106.084897","type":"journal-article","created":{"date-parts":[[2006,12,22]],"date-time":"2006-12-22T20:25:28Z","timestamp":1166819128000},"page":"1900-1917","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":196,"title":["Spontaneous Creation of Macroscopic Flow and Metachronal Waves in an Array of Cilia"],"prefix":"10.1016","volume":"92","author":[{"given":"Boris","family":"Guirao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jean-Fran\u00e7ois","family":"Joanny","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1529\/biophysj.106.084897_bib1","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1126\/science.1119133","article-title":"New neurons follow the flow of cerebrospinal fluid in the adult brain","volume":"311","author":"Sawamoto","year":"2006","journal-title":"Science"},{"key":"10.1529\/biophysj.106.084897_bib2","doi-asserted-by":"crossref","first-page":"R27","DOI":"10.1093\/hmg\/ddg061","article-title":"To beat or not to beat: roles of cilia in development and disease","volume":"12","author":"Ibanez-Tallon","year":"2003","journal-title":"Hum Mol Genet."},{"key":"10.1529\/biophysj.106.084897_bib3","series-title":"Molecular Biology of the Cell","author":"Alberts","year":"1994"},{"key":"10.1529\/biophysj.106.084897_bib4","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1083\/jcb.54.2.246","article-title":"The three-dimensional structure of the basal body from rhesus monkey oviduct","volume":"54","author":"Anderson","year":"1972","journal-title":"J. Cell Biol."},{"key":"10.1529\/biophysj.106.084897_bib5","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1083\/jcb.47.1.159","article-title":"New observations on flagellar fine structure","volume":"47","author":"Warner","year":"1970","journal-title":"J. Cell Biol."},{"key":"10.1529\/biophysj.106.084897_bib6","doi-asserted-by":"crossref","first-page":"711","DOI":"10.1038\/31520","article-title":"Dynein arms are oscillating force generators","volume":"393","author":"Shingyoji","year":"1998","journal-title":"Nature"},{"key":"10.1529\/biophysj.106.084897_bib7","series-title":"The Biology of Cilia and Flagella","author":"Sleigh","year":"1962"},{"key":"10.1529\/biophysj.106.084897_bib8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1242\/jeb.37.1.1","article-title":"The form of beat in cilia of Stentor and Opalina","volume":"37","author":"Sleigh","year":"1960","journal-title":"J. Exp. Biol."},{"key":"10.1529\/biophysj.106.084897_bib9","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/S0074-7696(04)34003-9","article-title":"Cell biology of normal and abnormal ciliogenesis in the ciliated epithelium","volume":"234","author":"Hagiwara","year":"2004","journal-title":"Int. Rev. Cytol."},{"key":"10.1529\/biophysj.106.084897_bib10","series-title":"Oscillations critiques de syst\u00e8mes biologiques. PhD thesis. Universit\u00e9 Paris VI","author":"Camalet","year":"2001"},{"key":"10.1529\/biophysj.106.084897_bib11","doi-asserted-by":"crossref","first-page":"24.1","DOI":"10.1088\/1367-2630\/2\/1\/324","article-title":"Generic aspects of axonemal beating","volume":"2","author":"Camalet","year":"2000","journal-title":"New J. Phys."},{"key":"10.1529\/biophysj.106.084897_bib12","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1126\/science.176.4034.523","article-title":"Reactivated triton extracted models of Paramecium: modification of ciliary movement by calcium ions","volume":"176","author":"Naitoh","year":"1972","journal-title":"Science"},{"key":"10.1529\/biophysj.106.084897_bib13","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1242\/jeb.58.3.657","article-title":"Control of ciliary activities by adenosine triphosphate and divalent cations in triton-extracted models of Paramecium caudatum","volume":"58","author":"Naitoh","year":"1973","journal-title":"J. Exp. Biol."},{"key":"10.1529\/biophysj.106.084897_bib14","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1083\/jcb.11.1.179","article-title":"The relationship between the fine structure and direction of beat in gill cilia of a lamellibranch mollusc","volume":"11","author":"Gibbons","year":"1961","journal-title":"J. Biophys. Biochem. Cytol."},{"key":"10.1529\/biophysj.106.084897_bib15","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1242\/jcs.3.2.207","article-title":"Reconstructions of centriole formation and ciliogenesis in mammalian lungs","volume":"3","author":"Sorokin","year":"1968","journal-title":"J. Cell Sci."},{"key":"10.1529\/biophysj.106.084897_bib16","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1111\/j.1768-322X.1985.tb00417.x","article-title":"The orientation of ciliary basal bodies in quail oviduct is related to the ciliary beating cycle commencement","volume":"55","author":"Boisvieux-Ulrich","year":"1985","journal-title":"Biol. Cell."},{"key":"10.1529\/biophysj.106.084897_bib17","first-page":"1","article-title":"The immotile-cilia syndrome and other ciliary diseases","volume":"19","author":"Afzelius","year":"1979","journal-title":"Int. Rev. Exp. Path."},{"key":"10.1529\/biophysj.106.084897_bib18","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1017\/S0022112076000402","article-title":"The discrete cilia approach to propulsion of ciliated micro-organisms","volume":"75","author":"Liron","year":"1976","journal-title":"J. Fluid Mech."},{"key":"10.1529\/biophysj.106.084897_bib19","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1017\/S0305004100049902","article-title":"A note on the image system for a stokeslet in a no slip boundary","volume":"70","author":"Blake","year":"1971","journal-title":"Proc. Camb. Phil. Soc."},{"key":"10.1529\/biophysj.106.084897_bib20","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1111\/j.1768-322X.1999.tb01094.x","article-title":"Polarities of the centriolar structure: morphogenetic consequences","volume":"91","author":"Beisson","year":"1999","journal-title":"Biol. Cell"},{"key":"10.1529\/biophysj.106.084897_bib21","series-title":"Table of Integrals, Series and Products","author":"Gradshteyn","year":"1980"},{"key":"10.1529\/biophysj.106.084897_bib22","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/S0006-3495(76)85672-X","article-title":"Swimming of flagellated microorganisms","volume":"16","author":"Keller","year":"1976","journal-title":"Biophys. J."},{"key":"10.1529\/biophysj.106.084897_bib23","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1242\/jeb.57.1.239","article-title":"Ciliary activity and the origin of metachrony in Paramecium: effects of increased viscosity","volume":"57","author":"Machemer","year":"1972","journal-title":"J. Exp. Biol."},{"key":"10.1529\/biophysj.106.084897_bib24","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1002\/(SICI)1097-0169(1998)39:1<9::AID-CM2>3.0.CO;2-3","article-title":"Effect of viscosity on metachrony in mucus propelling cilia","volume":"39","author":"Gheber","year":"1998","journal-title":"Cell Motil. Cytoskeleton"},{"key":"10.1529\/biophysj.106.084897_bib25","doi-asserted-by":"crossref","first-page":"862","DOI":"10.1038\/nature04090","article-title":"Microscopic artificial swimmers","volume":"437","author":"Dreyfus","year":"2005","journal-title":"Nature"},{"key":"10.1529\/biophysj.106.084897_bib26","series-title":"Dynamics of cilia and flagella. PhD thesis. Technische Universit\u00e4t","author":"Hilfinger","year":"2005"},{"key":"10.1529\/biophysj.106.084897_bib27","series-title":"Mechanics of the axoneme: self-organized beating patterns and vortex arrays of spermatozoa. PhD thesis. Technische Universit\u00e4t","author":"Riedel-Kruse","year":"2005"},{"key":"10.1529\/biophysj.106.084897_bib28","doi-asserted-by":"crossref","first-page":"3934","DOI":"10.1529\/biophysj.104.042648","article-title":"Basal sliding and the mechanics of oscillation in a mammalian sperm flagellum","volume":"87","author":"Vernon","year":"2004","journal-title":"Biophys. J."},{"key":"10.1529\/biophysj.106.084897_bib29","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1083\/jcb.87.1.33","article-title":"Rotation and twist of the central-pair microtubules in the cilia of Paramecium","volume":"87","author":"Omoto","year":"1980","journal-title":"J. Cell Biol."},{"key":"10.1529\/biophysj.106.084897_bib30","doi-asserted-by":"crossref","first-page":"2652","DOI":"10.1103\/PhysRevLett.72.2652","article-title":"Asymmetric pumping of particles","volume":"72","author":"Prost","year":"1994","journal-title":"Phys. Rev. Lett."},{"key":"10.1529\/biophysj.106.084897_bib31","doi-asserted-by":"crossref","first-page":"2618","DOI":"10.1103\/PhysRevLett.75.2618","article-title":"Cooperative molecular motors","volume":"75","author":"J\u00fclicher","year":"1995","journal-title":"Phys. Rev. Lett."},{"key":"10.1529\/biophysj.106.084897_bib32","doi-asserted-by":"crossref","first-page":"1543","DOI":"10.1098\/rstb.2003.1340","article-title":"Dynamics of filaments: modelling the dynamics of driven microfilaments","volume":"358","author":"Lowe","year":"2003","journal-title":"Philos. Trans. R. Soc. Lond. B Biol. Sci."},{"key":"10.1529\/biophysj.106.084897_bib33","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1247\/csf.19.349","article-title":"Flexural rigidity of echinoderm sperm flagella","volume":"19","author":"Ishijima","year":"1994","journal-title":"Cell Struct. Funct."},{"key":"10.1529\/biophysj.106.084897_bib34","series-title":"The Dynamics of Cellular Motility","author":"Murase","year":"1992"},{"key":"10.1529\/biophysj.106.084897_bib35","doi-asserted-by":"crossref","first-page":"791","DOI":"10.1017\/S002211207000215X","article-title":"The motion of long slender bodies in a viscous fluid. Part I","volume":"44","author":"Cox","year":"1970","journal-title":"J. Fluid Mech."},{"key":"10.1529\/biophysj.106.084897_bib36","series-title":"Epithelium vibrans (Flimmerepithel). Movie","author":"Horstmann","year":"1959"},{"key":"10.1529\/biophysj.106.084897_bib37","doi-asserted-by":"crossref","first-page":"1658","DOI":"10.1016\/S0006-3495(98)77879-8","article-title":"Computation of the internal forces in cilia: application to ciliary motion, the effects of viscosity, and cilia interactions","volume":"74","author":"Gueron","year":"1998","journal-title":"Biophys. J."},{"key":"10.1529\/biophysj.106.084897_bib38","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/0248-4900(88)90051-2","article-title":"Flagellar wave reversal in the kinetoplastid flagellate Crithidia oncopelti","volume":"63","author":"Sugrue","year":"1988","journal-title":"Biol. Cell"},{"key":"10.1529\/biophysj.106.084897_bib39","doi-asserted-by":"crossref","unstructured":"Hayashi, M., T. Yagi, Y.K., and R. Kamiya. 1998. Real-time observation of Ca2+-induced basal body reorientation in Chlamydomonas. Cell. Motil. Cytoskeleton. 41:49\u201356.","DOI":"10.1002\/(SICI)1097-0169(1998)41:1<49::AID-CM4>3.0.CO;2-A"},{"key":"10.1529\/biophysj.106.084897_bib40","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1140\/epjb\/e20020069","article-title":"Rowers coupled hydrodynamically. Modeling possible mechanisms for the cooperation of cilia","volume":"26","author":"Cosentino Lagomarsino","year":"2002","journal-title":"Eur. Phys. J. B"},{"key":"10.1529\/biophysj.106.084897_bib41","doi-asserted-by":"crossref","first-page":"4136","DOI":"10.1091\/mbc.e04-03-0247","article-title":"Cell Context-specific effects of the beta-tubulin glycylation domain on assembly and size of microtubular organelles","volume":"15","author":"Thazhath","year":"2004","journal-title":"Mol. Biol. Cell"},{"key":"10.1529\/biophysj.106.084897_bib42","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1083\/jcb.89.3.495","article-title":"Ciliary reversal without rotation of axonemal structures in Ctenophore comb plate","volume":"89","author":"Tamm","year":"1981","journal-title":"J. Cell Biol."},{"key":"10.1529\/biophysj.106.084897_bib43","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1083\/jcb.33.3.543","article-title":"Flagellar motion and fine structure of the flagellar appartus in","volume":"33","author":"Ringo","year":"1967","journal-title":"Chlamydomonas. J. Cell Biol."},{"key":"10.1529\/biophysj.106.084897_bib44","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1083\/jcb.5.2.269","article-title":"Electron microscopy of the sperm tail","volume":"5","author":"Afzelius","year":"1959","journal-title":"J. Biophys. Biochem. Cytol."},{"key":"10.1529\/biophysj.106.084897_bib45","doi-asserted-by":"crossref","first-page":"518","DOI":"10.1016\/S0091-6749(03)01799-8","article-title":"Ciliary beat pattern is associated with specific ultrastructural defects in primary ciliary dyskinesia","volume":"112","author":"Chilvers","year":"2003","journal-title":"J. Allergy Clin. Immunol."},{"key":"10.1529\/biophysj.106.084897_bib46","doi-asserted-by":"crossref","first-page":"0581021","DOI":"10.1103\/PhysRevLett.96.058102","article-title":"Hydrodynamic flow patterns and synchronisation of beating cilia","volume":"96","author":"Vilfan","year":"2006","journal-title":"Phys. Rev. Lett."},{"key":"10.1529\/biophysj.106.084897_bib47","first-page":"599","article-title":"A three-dimensional model for ciliary motion based on the internal 9+2 structure","volume":"268","author":"Gueron","year":"2001","journal-title":"Philos. Trans. R. Soc. Lond. B Biol. Sci."},{"key":"10.1529\/biophysj.106.084897_bib48","doi-asserted-by":"crossref","first-page":"6001","DOI":"10.1073\/pnas.94.12.6001","article-title":"Cilia internal mechanism and metachronal coordination as the result of hydrodynamical coupling","volume":"94","author":"Gueron","year":"1997","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1529\/biophysj.106.084897_bib49","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1126\/science.1110329","article-title":"A self-organized vortex array of hydrodynamically entrained sperm cells","volume":"309","author":"Riedel","year":"2005","journal-title":"Science"},{"key":"10.1529\/biophysj.106.084897_bib50","doi-asserted-by":"crossref","first-page":"12240","DOI":"10.1073\/pnas.96.22.12240","article-title":"Energetic considerations of ciliary beating and the advantage of metachronal coordination","volume":"96","author":"Gueron","year":"1999","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1529\/biophysj.106.084897_bib51","first-page":"1","article-title":"Switching mechanisms in the control of ciliary motility","volume":"4","author":"Satir","year":"1985","journal-title":"Mol. Cell. Biol."},{"key":"10.1529\/biophysj.106.084897_bib52","doi-asserted-by":"crossref","first-page":"4512","DOI":"10.1103\/PhysRevLett.78.4510","article-title":"Spontaneous oscillations of collective molecular motors","volume":"78","author":"J\u00fclicher","year":"1997","journal-title":"Phys. Rev. Lett."}],"container-title":["Biophysical Journal"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0006349507709980?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0006349507709980?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,9,13]],"date-time":"2025-09-13T15:51:02Z","timestamp":1757778662000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0006349507709980"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,3]]},"references-count":52,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2007,3]]}},"alternative-id":["S0006349507709980"],"URL":"https:\/\/doi.org\/10.1529\/biophysj.106.084897","relation":{},"ISSN":["0006-3495"],"issn-type":[{"value":"0006-3495","type":"print"}],"subject":[],"published":{"date-parts":[[2007,3]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Spontaneous Creation of Macroscopic Flow and Metachronal Waves in an Array of Cilia","name":"articletitle","label":"Article Title"},{"value":"Biophysical Journal","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1529\/biophysj.106.084897","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2007 The Biophysical Society. Published by Elsevier Inc. All rights reserved.","name":"copyright","label":"Copyright"}]}}