Transient and steady state of mass-conserved reaction-diffusion systems.
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.
Ishihara
Shuji
S
Division of Theoretical Biology, National Institute for Basic Biology, 5-1 Higashiyama, Myodaiji, Okazaki, Aichi 444-8787, Japan. ishihara@nibb.ac.jp
Otsuji
Mikiya
M
Mochizuki
Atsushi
A