Stripe-like distributions result if the autocatalysis saturates. Patterns that are periodic in space are formed if the size of the field is larger than the range of the inhibitor. This is appropriate for the initiation of periodic structures like bristles or stomata. The pattern becomes more regular if the pattern forming reaction works already during growth. In Fig. 5 pattern formation is shown on a cylinder that grows by proliferation at it upper end.
New maxima appear during growth at regular distances on alternating sides.
This is a simple model for the initiation of leaves on a growing shout. This leads also to a limitation of the inhibitor production. More cells become activated at a lower level until sufficient inhibitor is produced. In other word, the activated regions have the tendency to enlarge, However, in order to become activated, a close neighbourhood to non-activated cells is essential into which the inhibitor can be dumped. Both requirements, large activated patches and a direct neighbourhood of non-activated cells, seems to contradict each other.