We present a discrete mechanical model to study plant development. The method is built up of mass points, springs and hinges mimicking the plant cell wall's microstructure. To model plastic growth the resting lengths of springs are adjusted; when springs exceed a threshold length, new mass points, springs and hinges, are added. We formulate a stiffness tensor for the springs and hinges as a function of the fourth rank tensor of elasticity and the geometry of the mesh. This allows us to approximate the material law as a generalized orthotropic Hooke's law, and control material properties during growth. The material properties of the model are illustrated in numerical simulations for finite strain and plastic growth. To solve the equations of...
The morphogenesis of organs necessarily involves mechanical interactions and changes in mechanical p...
Unlike common engineering materials, living matter can autonomously respond to environmental changes...
We have developed an algorithm for a particle-based model for the growth of plant tissues in three d...
We present a discrete mechanical model to study plant development. The method is built up of mass po...
We present a discrete mechanical model to study plant development. The method is built up of mass po...
Morphogenesis in plants and animals involves large irreversible deformations. In plants, the respons...
Recent evidence has revealed the role of mechanical cues in the development of shapes in organisms. ...
The development of an organ or organism is a complex process that includes many interact- ing compon...
The study of plant growth has recently been revisited with the new possibility to investigate the dy...
How morphogenesis depends on cell properties is an active direction of research. Here, we focus on m...
International audienceHow morphogenesis depends on cell properties is an active direction of researc...
International audienceThe definition of shape in multicellular organisms is a major issue of develop...
The link between genetic regulation and the definition of form and size during morphogenesis remains...
<div><p>The morphogenesis of organs necessarily involves mechanical interactions and changes in mech...
International audienceThe link between genetic regulation and the definition of form and size during...
The morphogenesis of organs necessarily involves mechanical interactions and changes in mechanical p...
Unlike common engineering materials, living matter can autonomously respond to environmental changes...
We have developed an algorithm for a particle-based model for the growth of plant tissues in three d...
We present a discrete mechanical model to study plant development. The method is built up of mass po...
We present a discrete mechanical model to study plant development. The method is built up of mass po...
Morphogenesis in plants and animals involves large irreversible deformations. In plants, the respons...
Recent evidence has revealed the role of mechanical cues in the development of shapes in organisms. ...
The development of an organ or organism is a complex process that includes many interact- ing compon...
The study of plant growth has recently been revisited with the new possibility to investigate the dy...
How morphogenesis depends on cell properties is an active direction of research. Here, we focus on m...
International audienceHow morphogenesis depends on cell properties is an active direction of researc...
International audienceThe definition of shape in multicellular organisms is a major issue of develop...
The link between genetic regulation and the definition of form and size during morphogenesis remains...
<div><p>The morphogenesis of organs necessarily involves mechanical interactions and changes in mech...
International audienceThe link between genetic regulation and the definition of form and size during...
The morphogenesis of organs necessarily involves mechanical interactions and changes in mechanical p...
Unlike common engineering materials, living matter can autonomously respond to environmental changes...
We have developed an algorithm for a particle-based model for the growth of plant tissues in three d...