On the transient and steady state of mass-conserved reaction diffusion systems
Pattern Formation and Solitons
2009-11-11 v1
Abstract
Reaction diffusion systems with Turing instability and mass conservation are studied. In such systems, abrupt decays of stripes follow quasi-stationary states in sequence. At steady state, the distance between stripes is much longer than that estimated by linear stability analysis at a homogeneous state given by alternative stability conditions. We show that there exist systems in which a one-stripe pattern is solely steady state for an arbitrary size of the systems. The applicability to cell biology is discussed.
Keywords
Cite
@article{arxiv.nlin/0609018,
title = {On the transient and steady state of mass-conserved reaction diffusion systems},
author = {Shuji Ishihara and Mikiya Otsuji and Atsushi Mochizuki},
journal= {arXiv preprint arXiv:nlin/0609018},
year = {2009}
}
Comments
12 pages, 3 figures