A continuous growth model for plant tissue

摘要: Morphogenesis in plants and animals involves large irreversible deformations. In plants, the response of cell wall material to internal external forces is determined by its mechanical properties. An appropriate model for plant tissue growth must include key features such as anisotropic heterogeneous elasticity dependent evaluation variables turgor pressure, stress strain. addition, a needs cope with divisions necessary part process. Here we develop model, which capable employing not only signals but also morphogen regulating growth. The based on continuous equation updating resting configuration tissue. Simultaneously, properties can be updated at different time scale. We test stability our measuring convergence results under same conditions spatial discretization. able maintain strain field during re-meshing, particular importance modeling division. confirm accuracy estimations two three-dimensional simulations, show that residual stresses are less prominent if or included input signal approach implementation used compare hypotheses, while keeping other available feeding back