Phyllotaxis: An interdisciplinary phenomenon Export

@article{citeulike:1052722, abstract = {Regular phyllotaxis is largely non-uniform, in the sense that 1/2 and the golden mean are the most frequently observed values of the characteristic parameter "divergence". The different approaches to this enigmatic phenomenon form a fascinating chapter in the history of science. More recently, different models have been independently suggested, in an attempt to recreate the phenomenon. These are dynamic systems in discrete time founded on a simple inhibiting hypothesis (IH). We analyse the divergences selected by these models and, consequently, we investigate the IH capability to account for regular phyllotaxis. This capability is conditional (it depends on the convex/concave shape of the elementary inhibitions) and involves considering the IH from a statistical standpoint. Our conclusions are essentially new and they partly conflict with previous predictions. Because of its generality, our analysis applies to botanical as well as to physical systems (such as vortex networks).}, author = {Guerreiro, J.}, citeulike-article-id = {1052722}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0167-2789(94)00176-Q}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6TVK-4031TPD-2/2/4f44124e2c2f7d1ae8ed0177d7d4583f}, day = {1}, doi = {10.1016/0167-2789(94)00176-Q}, journal = {Physica D: Nonlinear Phenomena}, keywords = {untested}, month = {February}, number = {4}, pages = {356--384}, posted-at = {2007-01-19 14:36:09}, priority = {3}, title = {Phyllotaxis: An interdisciplinary phenomenon}, url = {http://dx.doi.org/10.1016/0167-2789(94)00176-Q}, volume = {80}, year = {1995} }

TY - JOUR ID - citeulike:1052722 L3 - citeulike-article-id:1052722 N2 - Regular phyllotaxis is largely non-uniform, in the sense that 1/2 and the golden mean are the most frequently observed values of the characteristic parameter "divergence". The different approaches to this enigmatic phenomenon form a fascinating chapter in the history of science. More recently, different models have been independently suggested, in an attempt to recreate the phenomenon. These are dynamic systems in discrete time founded on a simple inhibiting hypothesis (IH). We analyse the divergences selected by these models and, consequently, we investigate the IH capability to account for regular phyllotaxis. This capability is conditional (it depends on the convex/concave shape of the elementary inhibitions) and involves considering the IH from a statistical standpoint. Our conclusions are essentially new and they partly conflict with previous predictions. Because of its generality, our analysis applies to botanical as well as to physical systems (such as vortex networks). IS - 4 JF - Physica D: Nonlinear Phenomena EP - 384 TI - Phyllotaxis: An interdisciplinary phenomenon VL - 80 SP - 356 KW - untested AU - Guerreiro, J PY - 1995/02/01/ UR - http://dx.doi.org/10.1016/0167-2789(94)00176-Q ER -