Biologically relevant examples of active chains are microtubules and actin filamentssupramolecular polymers whose behavior within a cell is regulated through ATP consumption . The substance of chromatin in the nuclei of eukaryotes and its morphology with division into euchromatin and heterochromatin can also be an example of self-organization of an active polymer . Many attempts presented in the literature to describe the complex behavior of such systems within the framework of equilibrium processes are not convincing enough and a general consensus is yet to be obtained . At that point the concept of active polymer as a model of biologically relevant nonequilibrium complexes is a good shot to bring better understanding into several sophisticated fundamental problems .