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