A PHYSICOCHEMICAL BASIS FOR PATTERN AND RHYTHM,
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. Turing(1952) considered chemical patterns on a closed loop and, cursorily, on a sphere. His work motivated the present research. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1967
- Accession Number
- AD0652550
Entities
People
- John I. Gmitro
- L. E. Scriven
Organizations
- University of Minnesota