Lines and nets: models of filamentary structures
| dc.contributor.author | Herrero, Miguel A. | |
| dc.date.accessioned | 2023-06-20T18:48:26Z | |
| dc.date.available | 2023-06-20T18:48:26Z | |
| dc.date.issued | 2002 | |
| dc.description | International Conference on Reaction-Diffusion Systems: Theory and Applications. Selected papers from the conference held at Kyoto University, Kyoto, February 5–8, 2001 | |
| dc.description.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 | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Spanish DGES | |
| dc.description.sponsorship | European Contract | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22463 | |
| dc.identifier.issn | 1880-2818 | |
| dc.identifier.officialurl | http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1249-3.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58674 | |
| dc.issue.number | 1249 | |
| dc.journal.title | Sūrikaisekikenkyūsho Kōkyūroku | |
| dc.language.iso | eng | |
| dc.page.final | 24 | |
| dc.page.initial | 18 | |
| dc.publisher | Research Institute for Mathematical Sciences Kyoto University | |
| dc.relation.projectID | Project BFM2000-0605 | |
| dc.relation.projectID | HPRN-CT-2000-00105 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.956.4 | |
| dc.subject.cdu | 51-76 | |
| dc.subject.keyword | Reaction-diffusion systems | |
| dc.subject.keyword | Kyoto (Japan) | |
| dc.subject.ucm | Biomatemáticas | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 2404 Biomatemáticas | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Lines and nets: models of filamentary structures | |
| dc.type | journal article | |
| dcterms.references | 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 | |
| dspace.entity.type | Publication |
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