TY - JOUR AU - Andreucci, D. AU - Herrero, Miguel A. AU - Velázquez, J.J. L. PY - 2004 DO - 10.1002/mma.537 SN - 0170-4214 UR - https://hdl.handle.net/20.500.14352/50220 T2 - Mathematical Methods in the Applied Sciences AB - We analyse a mathematical model for the growth of thin filaments into a two dimensional medium. More exactly, we focus on a certain reaction/diffusion system, describing the interaction between three chemicals (an activator, an inhibitor and a growth... LA - eng M2 - 1935 PB - John Wiley and Sons KW - Biological pattern-formation KW - Gierer-Meinhardt system KW - positive solutions KW - capillary formation KW - spike KW - angiogenesis KW - uniqueness KW - equations KW - dynamics KW - model KW - reaction-diffusion systems KW - asymptotic behaviour of solutions KW - singular perturbation techniques KW - mathematical biology TI - On the growth of filamentary structures in planar media TY - journal article VL - 27 ER -