Abstract
A conspectus is given on interacting biological cell systems (BCS) as a class of stochastic models describing the (permanent) spatial growth of cell populations. Three families of models are taken into account : (l)Eden models (E1 and E2), (2)Williams-Bjerknes models (WB1 and WB2),and (3)the k-type configuration model for carcinogenesis (C1). Given there is an explicit mathematical connection between some infinite systems with locally interacting components (shortly:interacting particle systems) and percolation models,some results about the qualitative behaviour of interacting BCS will be given in terms of first-passage percolation theory (as a generalization of renewal theory).
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