title: Emergence of spontaneous twist and curvature in non-euclidean rods: application to Erodium plant cells.
abstract: We present a limiting model for thin non-euclidean elastic rods. Originating from the three-dimensional (3D) reference metric of the rod, which is determined by its internal material structure, we derive a 1D reduced rod theory. Specifically, we show how the spontaneous twist and curvature of a rod emerge from the reference metric derivatives. Thus, the model allows calculating the unconstrained equilibrium configuration of a thin rod directly from its internal structure. The model is applied to the study of cells from members of the Geraniaceae plant family and their configurational response to dehydration. We show how the geometrical arrangement of cellulose fibrils on the cell walls determines the helical shapes of isolated cells.
authors.affiliation: Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel.
authors.forename: Hillel
authors.initials: H
authors.lastname: Aharoni
authors.forename: Yael
authors.initials: Y
authors.lastname: Abraham
authors.forename: Rivka
authors.initials: R
authors.lastname: Elbaum
authors.forename: Eran
authors.initials: E
authors.lastname: Sharon
authors.forename: Raz
authors.initials: R
authors.lastname: Kupferman
mesh_terms: D048430:Cell Shape / Q000502:physiology; D002473:Cell Wall / Q000378:metabolism / Q000502:physiology; D002482:Cellulose / Q000378:metabolism; D031314:Geraniaceae / Q000166:cytology* / Q000378:metabolism; D008954:Models, Biological; D059828:Plant Cells / Q000378:metabolism / Q000502:physiology*
chemical_list: D002482:Cellulose