Investigation of pollen release by poricidal anthers using mathematical billiards

Detalhes bibliográficos
Autor(a) principal: Hansen, Matheus
Data de Publicação: 2021
Outros Autores: Lanes, Gabriel C., Brito, Vinícius L. G., Leonel, Edson D. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevE.104.034409
http://hdl.handle.net/11449/222438
Resumo: Buzz pollination is described using a mathematical model considering a billiard approach. Applications to a rough morphology of a typical poricidal anther of a tomato flower (Solanum lycopersicum) experiencing vibrations applied by a bumblebee (Bombus terrestris) are made. The anther is described by a rectangular billiard with a pore on its tip while the borders are perturbed by specific oscillations according to the vibrational properties of the bumblebee. Pollen grains are considered as noninteracting particles that can escape through the pore. Our results not only recover some observed data but also provide a possible answer to an open problem involving buzz pollination.
id UNSP_67958ab0bd6c955f7b7a503cfbddf351
oai_identifier_str oai:repositorio.unesp.br:11449/222438
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Investigation of pollen release by poricidal anthers using mathematical billiardsNon-interacting particlesObserved dataPollen grainsSolanum lycopersicumVibrational propertiesBuzz pollination is described using a mathematical model considering a billiard approach. Applications to a rough morphology of a typical poricidal anther of a tomato flower (Solanum lycopersicum) experiencing vibrations applied by a bumblebee (Bombus terrestris) are made. The anther is described by a rectangular billiard with a pore on its tip while the borders are perturbed by specific oscillations according to the vibrational properties of the bumblebee. Pollen grains are considered as noninteracting particles that can escape through the pore. Our results not only recover some observed data but also provide a possible answer to an open problem involving buzz pollination.Instituto de Ciência e Tecnologia Universidade Federal de São Paulo, SPInstituto de Biologia Universidade Federal de Uberlândia, MGDepartamento de Física Universidade Estadual Paulista, SPDepartamento de Física Universidade Estadual Paulista, SPUniversidade Federal de São Paulo (UNIFESP)Universidade Federal de Uberlândia (UFU)Universidade Estadual Paulista (UNESP)Hansen, MatheusLanes, Gabriel C.Brito, Vinícius L. G.Leonel, Edson D. [UNESP]2022-04-28T19:44:43Z2022-04-28T19:44:43Z2021-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevE.104.034409Physical Review E, v. 104, n. 3, 2021.2470-00532470-0045http://hdl.handle.net/11449/22243810.1103/PhysRevE.104.0344092-s2.0-85115123475Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Einfo:eu-repo/semantics/openAccess2022-04-28T19:44:43Zoai:repositorio.unesp.br:11449/222438Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:56:04.790146Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Investigation of pollen release by poricidal anthers using mathematical billiards
title Investigation of pollen release by poricidal anthers using mathematical billiards
spellingShingle Investigation of pollen release by poricidal anthers using mathematical billiards
Hansen, Matheus
Non-interacting particles
Observed data
Pollen grains
Solanum lycopersicum
Vibrational properties
title_short Investigation of pollen release by poricidal anthers using mathematical billiards
title_full Investigation of pollen release by poricidal anthers using mathematical billiards
title_fullStr Investigation of pollen release by poricidal anthers using mathematical billiards
title_full_unstemmed Investigation of pollen release by poricidal anthers using mathematical billiards
title_sort Investigation of pollen release by poricidal anthers using mathematical billiards
author Hansen, Matheus
author_facet Hansen, Matheus
Lanes, Gabriel C.
Brito, Vinícius L. G.
Leonel, Edson D. [UNESP]
author_role author
author2 Lanes, Gabriel C.
Brito, Vinícius L. G.
Leonel, Edson D. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Federal de São Paulo (UNIFESP)
Universidade Federal de Uberlândia (UFU)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Hansen, Matheus
Lanes, Gabriel C.
Brito, Vinícius L. G.
Leonel, Edson D. [UNESP]
dc.subject.por.fl_str_mv Non-interacting particles
Observed data
Pollen grains
Solanum lycopersicum
Vibrational properties
topic Non-interacting particles
Observed data
Pollen grains
Solanum lycopersicum
Vibrational properties
description Buzz pollination is described using a mathematical model considering a billiard approach. Applications to a rough morphology of a typical poricidal anther of a tomato flower (Solanum lycopersicum) experiencing vibrations applied by a bumblebee (Bombus terrestris) are made. The anther is described by a rectangular billiard with a pore on its tip while the borders are perturbed by specific oscillations according to the vibrational properties of the bumblebee. Pollen grains are considered as noninteracting particles that can escape through the pore. Our results not only recover some observed data but also provide a possible answer to an open problem involving buzz pollination.
publishDate 2021
dc.date.none.fl_str_mv 2021-09-01
2022-04-28T19:44:43Z
2022-04-28T19:44:43Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevE.104.034409
Physical Review E, v. 104, n. 3, 2021.
2470-0053
2470-0045
http://hdl.handle.net/11449/222438
10.1103/PhysRevE.104.034409
2-s2.0-85115123475
url http://dx.doi.org/10.1103/PhysRevE.104.034409
http://hdl.handle.net/11449/222438
identifier_str_mv Physical Review E, v. 104, n. 3, 2021.
2470-0053
2470-0045
10.1103/PhysRevE.104.034409
2-s2.0-85115123475
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review E
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129475218505728

Registros relacionados