Publication:
Lines and nets: models of filamentary structures

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2002
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Research Institute for Mathematical Sciences Kyoto University
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
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
Description
International Conference on Reaction-Diffusion Systems: Theory and Applications. Selected papers from the conference held at Kyoto University, Kyoto, February 5–8, 2001
Keywords
Citation
D. Andreucci, M.A. Herrero and J.J.L. Velázquez: On the growth of filamentary structures. To appear F. Candau: Polymers formed from self-assembled structures. In the book Soft matter physics. M. Daoud and C.E. Williams (eds.), Springer (1999), 187-218 F. Crick: Diffussion in embryogenesis. Nature, 225 (1970), 420-422 A. Gierer and H. Meinhardt: A theory of biological pattern formation. Kybernetik 12 (1972), 30-39 Lin 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), 316-325 H. Meinhardt: Models of biological pattern formation. Academic Press (1982) H. Meinhardt: Morphogenesis of lines and nets. Differentiation 6 (1976), 117-123 H. Meinhardt: Biological pattern formation as a complex dynamic phenomenon. Int. J. Bifurcation and Chaos 7, 1 (1997), 1-26 R.J. Metzger and M.A. Krasnow: Genetic control of branching morphogenesis. Science 284 (1999), 1635-1639 G. 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), 1802-1804 A.M. Turing: The chemical basis of morphogenesis. Phil. Trans. Royal Soc. London B 237 (1952), 37-72 G.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
Collections