From geometric optics to plants: the eikonal equation for buckling.
Soft Matter
; 13(7): 1420-1429, 2017 Feb 15.
Article
en En
| MEDLINE
| ID: mdl-28120994
ABSTRACT
Optimal buckling of a tissue, e.g. a plant leaf, growing by means of exponential division of its peripheral cells, is considered in the framework of a conformal approach. It is shown that the boundary profile of a tissue is described by the 2D eikonal equation, which provides the geometric optic approximation for the wavefront propagating in a medium with an inhomogeneous refraction coefficient. A variety of optimal surfaces embedded in 3D is controlled by spatial dependence of the refraction coefficient which, in turn, is dictated by the local growth protocol.
Texto completo:
1
Colección:
01-internacional
Banco de datos:
MEDLINE
Asunto principal:
Fenómenos Mecánicos
/
Fenómenos Ópticos
/
Desarrollo de la Planta
/
Modelos Biológicos
Idioma:
En
Revista:
Soft Matter
Año:
2017
Tipo del documento:
Article
País de afiliación:
Rusia