This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

Energy saving mechanisms are ubiquitous in nature. Aerodynamic and hydrodynamic
drafting, vortice uplift, Bernoulli suction, thermoregulatory coupling, path following, physical …

Parastichy, the spiral arrangement of plant organs, is an example of the long-range apparent
order seen in biological systems. These ordered arrangements provide scientists with both …

Why living forms develop in a relatively robust manner, despite various sources of internal or
external variability, is a fundamental question in developmental biology. Part of the answer …

We establish selection of critical pulled fronts in invasion processes as predicted by the
marginal stability conjecture. Our result shows convergence to a pulled front with a …

Pattern forming systems allow for a wealth of states, where wavelengths and orientation of
patterns varies and defects disrupt patches of monocrystalline regions. Growth of patterns …

Exploration of developmental mechanisms classically relies on analysis of pattern
regularities. Whether disorders induced by biological noise may carry information on …

The book provides a current review of the field of phyllotaxis from a variety of perspectives,
that is, morphological, developmental, biochemical, molecular genetics, biophysical, and …

It is shown that van Iterson's metric for disk packings, proposed in 1907 in the study of a
centric model of spiral phyllotaxis, defines a bounded distance function in the plane. This …

Phyllotaxis describes the periodic arrangement of plant organs most conspicuously floral.
Oscillators generally underlie periodic phenomena. A hypothetical algorithm generates …