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

Shuji Ishihara·Mikiya Otsuji·Atsushi Mochizuki
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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.

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Shuji Ishihara, Mikiya Otsuji, Atsushi Mochizuki. 2006-09-08. On the transient and steady state of mass-conserved reaction diffusion systems. https://doi.org/10.1103/physreve.75.015203

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