Patryk A. Bojarski

Reaction-diffusion model describes changes in time and space densities of two or more substances. It can be used to describe chemical reactions, biology pattern-formation, ecology systems and more. The main goal of the study was to recapture patterns which appears in nature using mathematical equations of reaction-diffusion.

In performed simulations two ingredients reacion-diffusion model has been used. Also three reaction models – Mimura-Murray, Brusselator and Scott-Gray have been implemented. Some ranges of reaction and diffusion parameters can lead to spontaneous pattern-formation. Some of the patterns are similar to these appearing in nature.

Generated patterns has been compared to these appearing in nature on animals fur and skin. Many similarities have been found. It shows that by using pure mathematical equations it is possible to recapture complex natural processes.