title: Repulsion pressure model and numerical simulation for spiral phyllotactic patterns of plants.
abstract: We present biologically motivated simple models to study phyllotaxis patterns. A simplified MaxMin-principle is applied for determining new-born primordium appearance. We propose a new repulsion pressure model to interpret the angle movement of each primordium influenced by the repulsion from all other primordia or from the nearest left and right neighbors. For a large range of growing velocities, both mechanisms can generate uniformly packed patterns under suitable settings of repulsion parameters. Measurement of the pattern uniformity and demonstration of robustness are also provided.
authors.affiliation: Advanced Modeling and Applied Computing Laboratory, Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong.
authors.forename: Yang
authors.initials: Y
authors.lastname: Cong
authors.forename: Wai-Ki
authors.initials: WK
authors.lastname: Ching
authors.forename: Nam-Kiu
authors.initials: NK
authors.lastname: Tsing
mesh_terms: D003198:Computer Simulation; D008954:Models, Biological; D009024:Morphogenesis; D010944:Plants / Q000033:anatomy & histology*