Turing patterns are striking examples of self-organised structures arising in reaction–diffusion systems, where the interplay of chemical reactions and diffusion processes gives rise to spatial ...

Observing nature shows that many temporal and spatial structures are not formed by the outside, but rather by the respective system itself. To study these self-organizing processes is the subject of ...

First proposed by Turing in 1952, the eponymous Turing instability and Turing pattern remain key tools for the modern study of diffusion-driven pattern formation. In spatially homogeneous Turing ...

In essence, it’s a type of symmetry breaking. Any two processes that act as activator and inhibitor will produce periodic patterns and can be modeled using Turing’s diffusion function. The challenge ...

There are many purposes that spots and stripes serve in nature, but how they form has been more of a mystery to scientists.

This is a preview. Log in through your library . Abstract In the paper, we investigate a three-species food chain model with diffusion and ratio-dependent predation functional response. We mainly ...

On a March day in 2023, Ben Alessio, then a research assistant at CU Boulder, was wandering around the Birch Aquarium in La Jolla, California, when he clocked a surprising sight: a male ornate boxfish ...

Patterns of chemical interactions are thought to create patterns in nature such as stripes and spots. This new study shows that the mathematical basis of these patterns also governs how the sperm tail ...