Herrero, Miguel A.Anile, Angelo MarcelloCapasso, VincenzoGreco, Antonio2023-06-202023-06-202002978-3-642-07647-310.1007/978-3-662-04784-2_2https://hdl.handle.net/20.500.14352/60760Papers from the 11th European Conference on Mathematics in Industry held in Palermo, September 26–30, 2000We 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.book parthttp://link.springer.com/chapter/10.1007%2F978-3-662-04784-2_2#http://link.springer.commetadata only access517.956.4519.87Ecuaciones diferencialesInvestigación operativa (Matemáticas)1202.07 Ecuaciones en Diferencias1207 Investigación Operativa