Spiral phyllotaxis

Contact pressure models for spiral phyllotaxis and their computer simulation.

We present a simple, biologically motivated model for the creation of phyllotactical patterns in capitula and their computer simulation. An in-depth investigation of Ridley's contact pressure model is performed and a refinement of contact pressure between primordia on the basis of local centroidal Voronoi relaxation is presented. Using this method in combination with Hofmeisters rule for placin...

Spiral Phyllotaxis: A Better Way to Construct a 3D Radial Trajectory in MRI

INTRODUCTION In the recent years, radial 3D acquisition has been prominently discussed in the field of cardiac MRI. While this method features excellent results with undersampling [1], the self-navigating properties of the trajectory can be exploited advantageously [2]. Hence, the radial trajectory has to be interleaved in such a way that the first readout of every interleave starts at the top ...

Phyllotaxis or the properties of spiral lattices. - II. Packing of circles along logarithmic spirals

Phyllotaxis, or the properties of spiral lattices. - I. Shape invariance under compression

Vascular phyllotaxis transition and an evolutionary mechanism of phyllotaxis

Leaves of vascular plants are arranged regularly around stems, a phenomenon known as phyllotaxis. A constant angle between two successive leaves is called divergence angle. On the one side, the divergence angle α0 of an initial pattern of leaf primordia at a shoot apex is most commonly an irrational number of about 137.5 degrees, called limit divergence. On the other side, the divergence α of a...