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Wavelength selection of rippling patterns in myxobacteria

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dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorLópez Bonilla, Luis Francisco
dc.contributor.authorGlavan, Ana Maria
dc.contributor.authorMarquina Vila, Antonio
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2023-10-24T13:06:18Z
dc.date.available2023-10-24T13:06:18Z
dc.date.issued2016-01
dc.description.abstractRippling patterns of myxobacteria appear in starving colonies before they aggregate to form fruiting bodies. These periodic traveling cell density waves arise from the coordination of individual cell reversals, resulting from an internal clock regulating them and from contact signaling during bacterial collisions. Here we revisit a mathematical model of rippling in myxobacteria due to Igoshin et al. [Proc. Natl. Acad. Sci. USA 98, 14913 (2001) and Phys. Rev. E 70, 041911 (2004)]. Bacteria in this model are phase oscillators with an extra internal phase through which they are coupled to a mean field of oppositely moving bacteria. Previously, patterns for this model were obtained only by numerical methods, and it was not possible to find their wave number analytically. We derive an evolution equation for the reversal point density that selects the pattern wave number in the weak signaling limit, shows the validity of the selection rule by solving numerically the model equations, and describes other stable patterns in the strong signaling limit. The nonlocal mean-field coupling tends to decohere and confine patterns. Under appropriate circumstances, it can annihilate the patterns leaving a constant density state via a nonequilibrium phase transition reminiscent of destruction of synchronization in the Kuramoto model.en
dc.description.sponsorshipThis work has been supported by the Ministerio de Economía y Competitividad grants FIS2011-28838-C02-01, MTM2014-56948-C2-2-P (L.L.B. and A.G.), and MTM2014-56218-C2-2-P (A.M.). We thank Miguel Ruiz-Garcia (Universidad Carlos III) for fruitful discussions.en
dc.format.extent13
dc.identifier.bibliographicCitationBonilla, L. L., Glavan, A., & Marquina, A. (2016). Wavelength selection of rippling patterns in myxobacteria. Physical Review E, 93(1), 012412.en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.93.012412
dc.identifier.issn2470-0045
dc.identifier.publicationfirstpage012412-1
dc.identifier.publicationissue1
dc.identifier.publicationlastpage012412-13
dc.identifier.publicationtitlePhysical Review Een
dc.identifier.publicationvolume93
dc.identifier.urihttps://hdl.handle.net/10016/38669
dc.identifier.uxxiAR/0000017701
dc.language.isoengen
dc.publisherAPSen
dc.relation.projectIDGobierno de España. FIS2011-28838-C02-01es
dc.relation.projectIDGobierno de España. MTM2014-56948-C2-2-Pes
dc.relation.projectIDGobierno de España. MTM2014-56218-C2-2-Pes
dc.rights© 2016 American Physical Societyen
dc.rights.accessRightsopen accessen
dc.subject.ecienciaFísicaes
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMatemáticases
dc.subject.ecienciaMaterialeses
dc.subject.ecienciaQuímicaes
dc.subject.otherMyxococcus-xanthusen
dc.subject.otherEfficient implementationen
dc.subject.otherTraveling wavesen
dc.subject.otherCell behavioren
dc.subject.otherModelen
dc.subject.otherAggregationen
dc.subject.otherSchemesen
dc.subject.otherSwarmsen
dc.titleWavelength selection of rippling patterns in myxobacteriaen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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