RT Journal Article T1 Lines and nets: models of filamentary structures A1 Herrero, Miguel A. AB 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 PB Research Institute for Mathematical Sciences Kyoto University SN 1880-2818 YR 2002 FD 2002 LK https://hdl.handle.net/20.500.14352/58674 UL https://hdl.handle.net/20.500.14352/58674 LA eng NO D. Andreucci, M.A. Herrero and J.J.L. Velázquez: On the growth of filamentary structures. To appearF. Candau: Polymers formed from self-assembled structures. In the book Soft matter physics. M. Daoud and C.E. Williams (eds.), Springer (1999), 187-218F. Crick: Diffussion in embryogenesis. Nature, 225 (1970), 420-422A. Gierer and H. Meinhardt: A theory of biological pattern formation. Kybernetik 12 (1972), 30-39Lin Li, Chi-Ming Chan, King Lun Yeung, Jian-Xiong Li, Kai-Mo Ng and Yugno Lei: Direct observation of growth of lammelae and spherulites of a semicristalline polymer by AFM. Macromolecules 34 (2001), 316-325H. Meinhardt: Models of biological pattern formation. Academic Press (1982)H. Meinhardt: Morphogenesis of lines and nets. Differentiation 6 (1976), 117-123H. Meinhardt: Biological pattern formation as a complex dynamic phenomenon. Int. J. Bifurcation and Chaos 7, 1 (1997), 1-26R.J. Metzger and M.A. Krasnow: Genetic control of branching morphogenesis. Science 284 (1999), 1635-1639G. Peng, F. Quiu, V.V. Guinzburg, D. Jasnow and A.C. Balasz: Forming supramolecular networks from nanoscale rods in binary, phase-separating mixtures. Science, 288 (2000), 1802-1804A.M. Turing: The chemical basis of morphogenesis. Phil. Trans. Royal Soc. London B 237 (1952), 37-72G.D. Yancopoulos, S. Davis, N.W. Gale, J.S. Rudge, S.J. Wiegand and J. Holash: Vascular-specific growth factors and blood vessel formation. Nature 407 (2000), 242-248 NO International Conference on Reaction-Diffusion Systems: Theory and Applications. Selected papers from the conference held at Kyoto University, Kyoto, February 5–8, 2001 NO Spanish DGES NO European Contract DS Docta Complutense RD 30 abr 2024