We consider the question of the emergence of morphological ordering in an open far-from-equilibrium model of a biopolymer. We apply informational statistical thermodynamics, which was shown to be appropriate to deal with dissipative systems displaying complex behavior. The formation of nonlinear spatial ordering consisting in the emergence of static charge-density waves, producing a bioelectret-type state, is evidenced. This kind of behavior may arise in biopolymers under the influence of biochemical processes.