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

PeerJ

article

Anna Jakubska-Busse¹  Maciej Janowicz²  Luiza Ochnio²  Beata Jackowska-Zduniak² 

[1]Department of Botany, Institute of Environmental Biology, University of Wrocław

[2]Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences–SGGW

关键词: Plant architecture;    Coupled elastic beams;    Mathematical biology;    Plant modelling;    Elasticity;    Leaves;    Orchids;    Epipactis;    Undulation;    Modelling plant species;   

DOI  :  10.7717/peerj.2165

学科分类：社会科学、人文和艺术（综合）

来源: Inra

【 摘 要 】

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.

【 授权许可】

CC BY