Figure 2. Heuristic model depicting a landscape with seeds and their interaction strength as used for modelling the Voronoi tesselation curves.
The background attraction (P bg) of a given surface area (XY) increases as seeds with a given interaction strength cluster onto that surface. Thereby, they increase the probability of new seeds to colonize within their vicinity. The interaction strength of a given seed is essentially given by r h, the inner radius, r 0, and the slope, α. To simplify the model we set α = 1024 resulting in a cylindrical volume. A given seed, still suspended in the water, can be directly attracted to an attached cell (path a) or posterior to its initial adhesion (b) by a neighbouring cell (paths b′ and b″), or it can attach without any interaction (c) but will provide attraction for the following seeds.