2006/09/08 by Shuji Ishihara, Mikiya Otsuji, Atsushi Mochizuki
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Nonlinear Dynamics and Pattern Formation #nlin.PS
paper · pdf · doi:10.1103/physreve.75.015203
12 pages, 3 figures
arxiv created 2006/09/08 · openalex publication_date 2007/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Reaction-diffusion systems with mass conservation are studied. In such systems, abrupt decays of stripes follow quasistationary states in sequence generally. We give a stability condition of steady state which the system reaches after long transient time. It is also shown that there exist systems in which a single-stripe pattern is solely steady state for an arbitrary size of the systems. The applicability to cell biology is discussed.