Stochastic growth of radial clusters: Weak convergence to the asymptotic profile and implications for morphogenesis

► Long time behavior of solutions to stochastic partial differential equations is studied. ► The equations model the shape of a collection of randomly proliferating units. ► Conditions under which solutions weakly converge to spherical profiles are found. ► The results connect with mathematical morphogenetic issues. ► They show how the random proliferation of cells can break the colony radial symmetry.