Abstract
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.
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Granero-Porati, M.I., Porati, A. Temporal organization in a morphogenetic field. J. Math. Biology 20, 153–157 (1984). https://doi.org/10.1007/BF00285343
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DOI: https://doi.org/10.1007/BF00285343