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Shapes of leaves with parallel venation. Modelling of the Epipactis sp. (Orchidaceae) leaves with the help of a system of coupled elastic beams

Static properties of leaves with parallel venation, with particular emphasis on the genus EpipactisZinn, 1757 (Orchidaceae, Neottieae) have been modelled with coupled quasi-parallel elastic “beams.” The non-linear theory of strongly bended beams have been employed. The resulting boundary-value probl...

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Autores principales: Jakubska-Busse, Anna, Janowicz, Maciej, Ochnio, Luiza, Jackowska-Zduniak, Beata
Formato: Online Artículo Texto
Lenguaje:English
Publicado: PeerJ Inc. 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4928462/
https://www.ncbi.nlm.nih.gov/pubmed/27375969
http://dx.doi.org/10.7717/peerj.2165
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author Jakubska-Busse, Anna
Janowicz, Maciej
Ochnio, Luiza
Jackowska-Zduniak, Beata
author_facet Jakubska-Busse, Anna
Janowicz, Maciej
Ochnio, Luiza
Jackowska-Zduniak, Beata
author_sort Jakubska-Busse, Anna
collection PubMed
description Static properties of leaves with parallel venation, with particular emphasis on the genus EpipactisZinn, 1757 (Orchidaceae, Neottieae) have been modelled with coupled quasi-parallel elastic “beams.” The non-linear theory of strongly bended beams have been employed. The resulting boundary-value problem has been solved numerically with the help of the finite-difference method. Possible dislocations resulting in additional Dirac-delta like forces have been take into account. Morphological similarity of the model and real leaves has been obtained. In particular, the concentrated forces have been shown to cause undulation in the leaves.
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spelling pubmed-49284622016-07-01 Shapes of leaves with parallel venation. Modelling of the Epipactis sp. (Orchidaceae) leaves with the help of a system of coupled elastic beams Jakubska-Busse, Anna Janowicz, Maciej Ochnio, Luiza Jackowska-Zduniak, Beata PeerJ Agricultural Science Static properties of leaves with parallel venation, with particular emphasis on the genus EpipactisZinn, 1757 (Orchidaceae, Neottieae) have been modelled with coupled quasi-parallel elastic “beams.” The non-linear theory of strongly bended beams have been employed. The resulting boundary-value problem has been solved numerically with the help of the finite-difference method. Possible dislocations resulting in additional Dirac-delta like forces have been take into account. Morphological similarity of the model and real leaves has been obtained. In particular, the concentrated forces have been shown to cause undulation in the leaves. PeerJ Inc. 2016-06-28 /pmc/articles/PMC4928462/ /pubmed/27375969 http://dx.doi.org/10.7717/peerj.2165 Text en ©2016 Jakubska-Busse et al. http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ) and either DOI or URL of the article must be cited.
spellingShingle Agricultural Science
Jakubska-Busse, Anna
Janowicz, Maciej
Ochnio, Luiza
Jackowska-Zduniak, Beata
Shapes of leaves with parallel venation. Modelling of the Epipactis sp. (Orchidaceae) leaves with the help of a system of coupled elastic beams
title Shapes of leaves with parallel venation. Modelling of the Epipactis sp. (Orchidaceae) leaves with the help of a system of coupled elastic beams
title_full Shapes of leaves with parallel venation. Modelling of the Epipactis sp. (Orchidaceae) leaves with the help of a system of coupled elastic beams
title_fullStr Shapes of leaves with parallel venation. Modelling of the Epipactis sp. (Orchidaceae) leaves with the help of a system of coupled elastic beams
title_full_unstemmed Shapes of leaves with parallel venation. Modelling of the Epipactis sp. (Orchidaceae) leaves with the help of a system of coupled elastic beams
title_short Shapes of leaves with parallel venation. Modelling of the Epipactis sp. (Orchidaceae) leaves with the help of a system of coupled elastic beams
title_sort shapes of leaves with parallel venation. modelling of the epipactis sp. (orchidaceae) leaves with the help of a system of coupled elastic beams
topic Agricultural Science
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4928462/
https://www.ncbi.nlm.nih.gov/pubmed/27375969
http://dx.doi.org/10.7717/peerj.2165
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