Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 1989;27(5):485-90.
doi: 10.1007/BF00288429.

The asymptotic transectional/circumferential homogeneity of the solutions of reaction-diffusion systems in/on cylinder-like domains

K Kurata  1 , K Kisimoto, E Yanagida
Affiliations

The asymptotic transectional/circumferential homogeneity of the solutions of reaction-diffusion systems in/on cylinder-like domains

K Kurata et al. J Math Biol. 1989.

Abstract

It is often reported that an animal with spotty coat markings on its body has a tail with stripe-shaped pattern. In other various biological and chemical phenomena in/on cylinder-like domains, longitudinally periodic band patterns are observed much more often than the other non-uniform patterns. This paper mathematically explains these observations by proving that, in/on a long and narrow cylinder-like domain, any solution of reaction-diffusion system asymptotically loses its spatial dependence in the transectional/circumferential direction.

PubMed Disclaimer

References

    1. Bull Math Biol. 1988;50(3):255-88 - PubMed
    1. J Theor Biol. 1974 Jun;45(2):501-31 - PubMed
    1. J Theor Biol. 1981 Nov 21;93(2):363-85 - PubMed

Publication types