On the transient and steady state of mass-conserved reaction diffusion systems

Details On the transient and steady state of mass-conserved reaction diffusion systems On the transient and steady state of mass-conserved reaction diffusion systems

2006-09-08

arxiv.org/abs/nlin/0609018v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, 3 figures

Scientific paper

10.1103/PhysRevE.75.015203

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.

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