Asymptotic properties of reaction-diffusion systems modeling chemotaxis

This paper examines a system first introduced by Keller and Segel in 1970 to model the tendency of slime molds to move towards higher concentrations of a chemical which they themselves secrete. The paper particularly addresses the question of blow-up or chemotactic collapse, i.e., the formation of s...

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Detalles Bibliográficos
Autor: Herrero, Miguel A.
Tipo de recurso: capítulo de libro
Fecha de publicación:2000
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/60761
Acceso en línea:https://hdl.handle.net/20.500.14352/60761
Access Level:acceso abierto
Palabra clave:517.956.4
51-76
Biomatemáticas
Ecuaciones diferenciales
2404 Biomatemáticas
1202.07 Ecuaciones en Diferencias
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oai_identifier_str oai:docta.ucm.es:20.500.14352/60761
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spelling Asymptotic properties of reaction-diffusion systems modeling chemotaxisHerrero, Miguel A.517.956.451-76BiomatemáticasEcuaciones diferenciales2404 Biomatemáticas1202.07 Ecuaciones en DiferenciasThis paper examines a system first introduced by Keller and Segel in 1970 to model the tendency of slime molds to move towards higher concentrations of a chemical which they themselves secrete. The paper particularly addresses the question of blow-up or chemotactic collapse, i.e., the formation of single point aggregations of the cells. Results are discussed for 2 and 3 space dimensions. Asymptotic computations yield information on the manner of the blow-up.SpringerSpigler, RenatoUniversidad Complutense de Madrid20002000-01-0120002000-01-01book parthttp://purl.org/coar/resource_type/c_3248info:eu-repo/semantics/bookPartapplication/pdfhttps://hdl.handle.net/20.500.14352/60761reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/607612026-06-02T12:44:21Z
dc.title.none.fl_str_mv Asymptotic properties of reaction-diffusion systems modeling chemotaxis
title Asymptotic properties of reaction-diffusion systems modeling chemotaxis
spellingShingle Asymptotic properties of reaction-diffusion systems modeling chemotaxis
Herrero, Miguel A.
517.956.4
51-76
Biomatemáticas
Ecuaciones diferenciales
2404 Biomatemáticas
1202.07 Ecuaciones en Diferencias
title_short Asymptotic properties of reaction-diffusion systems modeling chemotaxis
title_full Asymptotic properties of reaction-diffusion systems modeling chemotaxis
title_fullStr Asymptotic properties of reaction-diffusion systems modeling chemotaxis
title_full_unstemmed Asymptotic properties of reaction-diffusion systems modeling chemotaxis
title_sort Asymptotic properties of reaction-diffusion systems modeling chemotaxis
dc.creator.none.fl_str_mv Herrero, Miguel A.
author Herrero, Miguel A.
author_facet Herrero, Miguel A.
author_role author
dc.contributor.none.fl_str_mv Spigler, Renato
Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.956.4
51-76
Biomatemáticas
Ecuaciones diferenciales
2404 Biomatemáticas
1202.07 Ecuaciones en Diferencias
topic 517.956.4
51-76
Biomatemáticas
Ecuaciones diferenciales
2404 Biomatemáticas
1202.07 Ecuaciones en Diferencias
description This paper examines a system first introduced by Keller and Segel in 1970 to model the tendency of slime molds to move towards higher concentrations of a chemical which they themselves secrete. The paper particularly addresses the question of blow-up or chemotactic collapse, i.e., the formation of single point aggregations of the cells. Results are discussed for 2 and 3 space dimensions. Asymptotic computations yield information on the manner of the blow-up.
publishDate 2000
dc.date.none.fl_str_mv 2000
2000-01-01
2000
2000-01-01
dc.type.none.fl_str_mv book part
http://purl.org/coar/resource_type/c_3248
dc.type.openaire.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/60761
url https://hdl.handle.net/20.500.14352/60761
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869418306362933248
score 15,300719

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