During the embryonic development, it has been observed the prior to drastic shape changes of the organism, tissues deformations oscillate in a manner that resembles a fluid. Strikingly though, inertial terms are negligible in such systems, which renders the governing mechanical PDEs as elliptical or parabolic, with no apparent oscillatory solution. This work aims to investigate the coupling between mechanical equilibrium and biochemical coupling as a epossible source of this oscillations.