  The physics of micron-scale biological colonies usually benefits from
different out-of-equilibrium sources. In bacterial colonies and cellular
tissues, the growth process is among the important active sources that
determine the dynamics. In this article, we study the generic dynamical
instabilities associated with the growth phenomena that may arise in both
scalar and vectorial systems. In vectorial systems, where the rotational
degrees of particles play a role, a phenomenological growthmediated torque can
affect the rotational dynamics of individual particles. We show that such a
growth-mediated torque can result in active traveling waves in the bulk of a
growing system. In addition to the bulk properties, we analyze the
instabilities in the shape of growing interfaces in both scalar and vectorial
systems.
