“…Many different types of discrete models, such as coupled map lattice models, fractal models, diffusion limited aggregation models and L-systems, have already been developed to model general branching processes (including angiogenesis) in a qualitative and phenomenological way (Bell et al, 1979;Gottlieb, 1990Gottlieb, , 1991aDüchting, 1990aDüchting, , 1990bDüchting, , 1992Prusinkiewicz and Lindenmayer, 1990;Kiani and Hudetz, 1991;Landini and Misson, 1993;Indermitte et al 1994;Düchting et al, 1996;Nekka et al, 1996). These discrete models may be considered as particular examples of a wider class of discrete models, referred to generically as cellular automata models, which have been applied to a wide range of problems in many areas of applied mathematics.…”