Temporal organization in a morphogenetic field

We have investigated the possibility of self-sustained oscillations of chemical concentrations during morphogenetic processes. In particular, we have shown that, in the case of the Gierer-Meinhardt model, self-sustained oscillations are possible when an order parameter, connected with the decay constants of morphogenes, crosses a critical value. The analytical results are in agreement with the numerical results of Gierer and Meinhardt.