English

Scaling in dynamical Turing pattern formation: density of defects frozen into permanent patterns

Biological Physics 2007-05-23 v1 Condensed Matter Pattern Formation and Solitons Chemical Physics q-bio

Abstract

We estimate density of defects frozen into a biological Turing pattern which was turned on at a finite rate. A self-locking of gene expression in individual cells, which makes the Turing transition discontinuous, stabilizes the pattern together with its defects. A defect-free pattern can be obtained by spatially inhomogeneous activation of the genes.

Keywords

Cite

@article{arxiv.physics/0002050,
  title  = {Scaling in dynamical Turing pattern formation: density of defects frozen into permanent patterns},
  author = {Jacek Dziarmaga},
  journal= {arXiv preprint arXiv:physics/0002050},
  year   = {2007}
}

Comments

7 pages, 5 figures

R2 v1 2026-07-22T18:48:18.174Z