Lines and nets: models of filamentary structures

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Research Institute for Mathematical Sciences Kyoto University
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We shall recall some reaction-difussion models which have been used to describe the growth of net-like structures, mainly in a biological context. In particular, a modified activator-inhibitor system proposed by Hans Meinhardt in 1976 will be considered, and some properties of their solutions will be analyzed
International Conference on Reaction-Diffusion Systems: Theory and Applications. Selected papers from the conference held at Kyoto University, Kyoto, February 5–8, 2001
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