Accession Number:

AD0652550

Title:

A PHYSICOCHEMICAL BASIS FOR PATTERN AND RHYTHM,

Descriptive Note:

Corporate Author:

MINNESOTA UNIV MINNEAPOLIS DEPT OF CHEMICAL ENGINEERING

Personal Author(s):

Report Date:

1967-05-01

Pagination or Media Count:

36.0

Abstract:

The physical system under investigation is a membrane or thread, within which various chemical species are reacting and diffusing along the length. At the same time the participating species are exchanging with the surrounding media. The number of species is left open. The rate equations specifying accumulation of each species in terms of production, influx by diffusion, and input by exchange with surroundings are linearized about the uniform, steady-state solution and then cast into matrix form. Solutions are obtained which may grow, decay, remain stationary in time, or oscillate. Examples of one, two, and three participating species are discussed. In addition, the effects of geometry, such as cylindrical or spherical surfaces as the medium, are discussed briefly. Turing1952 considered chemical patterns on a closed loop and, cursorily, on a sphere. His work motivated the present research. Author

Subject Categories:

  • Biology
  • Industrial Chemistry and Chemical Processing

Distribution Statement:

APPROVED FOR PUBLIC RELEASE