Based on these results, we develop and present a second bio-mechanical model for tissue pattern formation, which is closely related to experimental results. It has been recently shown that biological tissues locally react to stretching by inducing tissue growth, e.g. due to cell proliferation. Hence, external and internal mechanical forces during tissue development are able to actively contribute to embryonic pattern formation.<br><br>

This interplay between tissue stretching and growth is used to develop a dynamical model, describing the spatial development of a biological tissue depending on the interaction between tissue compressibility and growth. The model is based on the minimization of a free energy which is mainly determined by tissue curvature and compressibility.