Stationary peaks in a multivariable reaction--diffusion system: Foliated snaking due to subcritical Turing instability
Edgar Knobloch,
Arik Yochelis
Abstract:An activator-inhibitor model of side-branching used in the context of vascular and lung development is considered on the supposition that spatially localized concentrations of the activator trigger local branching. The model consists of four coupled reaction-diffusion equations and its steady localized solutions therefore obey an eight-dimensional spatial dynamical system in one dimension (1D). Stationary localized structures within the model are found to be associated with a subcritical Turing instability and… Show more
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