Pattern formation in large domains

Pattern formation in large domains.

Pattern formation is a phenomenon that arises in a wide variety of physical, chemical and biological situations. A great deal of theoretical progress has been made in understanding the universal aspects of pattern formation in terms of amplitudes of the modes that make up the pattern. Much of the theory has sound mathematical justification, but experiments and numerical simulations over the las...

Pattern formation on large domains

Cellular pattern formation in circular domains.

An analysis of stationary and nonstationary cellular patterns observed in premixed flames on a circular, porous plug burner is presented. A phenomenological model is introduced, that exhibits patterns similar to the experimental states. The primary modes of the model are combinations of Fourier-Bessel functions, whose radial parts have neighboring zeros. This observation explains several featur...

Travelling lipid domains in a dynamic model for protein-induced pattern formation in biomembranes.

Cell membranes are composed of a mixture of lipids. Many biological processes require the formation of spatial domains in the lipid distribution of the plasma membrane. We have developed a mathematical model that describes the dynamic spatial distribution of acidic lipids in response to the presence of GMC proteins and regulating enzymes. The model encompasses diffusion of lipids and GMC protei...

Concept formation in noisy domains

In inductive logic programming, concept formation in noisy domains can be considered as learning from noisy data. This paper describes an approach to learning from noisy examples with an approximate theory. Although this kind of learning is more close to practical application, there are few systems can deal with such problems. The proposed learning approach includes a theory preference criterio...