Mostrar el registro sencillo del ítem

dc.contributor.author
Fier, Guido  
dc.contributor.author
Hansmann, David  
dc.contributor.author
Buceta, Ruben Carlos  
dc.date.available
2019-11-19T18:27:49Z  
dc.date.issued
2018-05  
dc.identifier.citation
Fier, Guido; Hansmann, David; Buceta, Ruben Carlos; Langevin equations for the run-and-tumble of swimming bacteria; Royal Society of Chemistry; Soft Matter; 14; 19; 5-2018; 3945-3954  
dc.identifier.issn
1744-683X  
dc.identifier.uri
http://hdl.handle.net/11336/89213  
dc.description.abstract
The run and tumble motions of a swimming bacterium are well characterized by two stochastic variables: the speed v(t) and the change of direction or deflection x(t) = cosφ(t), where φ(t) is the turning angle at time t. Recently, we have introduced [G. Fier, D. Hansmann and R. C. Buceta, A stochastic model for directional changes of swimming bacteria, Soft Matter, 2017, 13, 3385-3394.] a single stochastic model for the deflection x(t) of an E. coli bacterium performing both types of movement in isotropic media without taxis, based on available experimental data. In this work we introduce Langevin equations for the variables (v, x), which for particular values of a control parameter β correspond to run and tumble motions, respectively. These Langevin equations have analytical solutions, which make it possible to calculate the statistical properties of both movements in detail. Assuming that the stochastic processes x and v are not independent during the tumble, we show that there are small displacements of the center of mass along the normal direction to the axis of the bacterial body, a consequence of the flagellar unbundling during the run-to-tumble transition. Regarding the tumble we show, by means of the directional correlation, that the process is not stationary for tumble-times of the order of experimentally measured characteristic tumble-time. The mean square displacement is studied in detail for both movements even in the non-stationary regime. We determine the diffusion and ballistic coefficients for tumble- and run-times, establishing their properties and relationships.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Royal Society of Chemistry  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
SWIMMING BACTERIUM  
dc.subject
E. COLI  
dc.subject
RUN-AND-TUMBLE  
dc.subject
LANGEVIN EQUATIONS  
dc.subject
MEAN SQUARE DISPLACEMENT  
dc.subject
STATISTICAL PROPERTIES  
dc.subject.classification
Física de los Materiales Condensados  
dc.subject.classification
Ciencias Físicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.subject.classification
Biofísica  
dc.subject.classification
Ciencias Biológicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Langevin equations for the run-and-tumble of swimming bacteria  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-10-22T15:08:05Z  
dc.journal.volume
14  
dc.journal.number
19  
dc.journal.pagination
3945-3954  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
CAMBRIDGE  
dc.description.fil
Fil: Fier, Guido. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina  
dc.description.fil
Fil: Hansmann, David. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina  
dc.description.fil
Fil: Buceta, Ruben Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina  
dc.journal.title
Soft Matter  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://pubs.rsc.org/en/content/articlelanding/2018/SM/C8SM00252E#!divAbstract  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1039/C8SM00252E