RT Book, Section T1 From nucleation to large aggregates: the growth of filamentary A1 Herrero, Miguel A. A2 Anile, Angelo Marcello A2 Capasso, Vincenzo A2 Greco, Antonio AB We shall briefly review some early nucleation models, and then examine some aspects of the subsequent evolution of their solutions. Such situation is characterised by the onset of comparatively large clusters that can diffuse into the medium and interact among themselves. We next discuss some situations where the aggregates being formed, whose actual shape is one of the major questions under consideration, do posses a filamentary nature, and can sometimes generate a percolating network. Finally, a particularly interesting case of such tree-like structures, that of vascular systems, will be addressed, and some facts (and open questions) concerning their simulation via reaction-diffusion equations will be discussed. PB Springer SN 978-3-642-07647-3 YR 2002 FD 2002 LK https://hdl.handle.net/20.500.14352/60760 UL https://hdl.handle.net/20.500.14352/60760 NO Papers from the 11th European Conference on Mathematics in Industry held in Palermo, September 26–30, 2000 DS Docta Complutense RD 6 abr 2025