On the transient and steady state of mass-conserved reaction diffusion systems
Shuji Ishihara, Mikiya Otsuji, Atsushi Mochizuki
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.
Create a lesson
Related papers
Wedge problems and dispersive shock waves in the two-dimensional Toda lattice
Marco Calabrese, Gino Biondini, Christopher Chong et al.
Numerical Direct Scattering Transform for Dark Solitons
Ilya Mullyadzhanov, Sergey Dremov, Andrey Gelash
Stable rotating vortex clusters in three-dimensional quantum droplets
Liangwei Dong, Yaroslav V. Kartashov
Bifurcation structure and mesa pattern formation in a one-component nonlocal adhesion model with population pressure and degenerate mobility
Shimpei Makida, Hideki Murakawa
Dynamics of Flat-Top--Bubble Vector Solitons
M. O. D. Alotaibi, L. Al Sakkaf, U. Al Khawaja
Dynamics of localized solutions in three core coupled waveguides with quasi-periodic nonlinearity
Bruno M. Miranda, Ardiley T. Avelar, Wesley B. Cardoso et al.