Parametric pattern selection in a reaction-diffusion model.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 24204813.
- Also identified by DOI 10.1371/journal.pone.0077337 and PMC identifier 3812206.
- Licence recorded as CC BY.
- The licence permits redistribution, so the abstract is shown in full and the full text is available from the publisher.
Abstract
We compare spot patterns generated by Turing mechanisms with those generated by replication cascades, in a model one-dimensional reaction-diffusion system. We determine the stability region of spot solutions in parameter space as a function of a natural control parameter (feed-rate) where degenerate patterns with different numbers of spots coexist for a fixed feed-rate. While it is possible to generate identical patterns via both mechanisms, we show that replication cascades lead to a wider choice of pattern profiles that can be selected through a tuning of the feed-rate, exploiting hysteresis and directionality effects of the different pattern pathways.
Medical subject headings
- Models, Chemical
- Models, Statistical