Description of Helix-Coil Transition in Heteropolymers in Frame of GMPC

The work is devoted to the study of the behavior of heterogeneous biopolymers during the melting of the secondary structure. A random bimodal biopolymer is generated. Each component corresponds to its transfer matrix of GMPC, by multiplying these transfer matrices the free energy of the system is calculated. It is shown that for a length of 5000 repeating units, the reduced free energy does not depend on the realization of the system (primary structure). The corresponding denaturation curves show that the transition point is well defined as a linear combination of the corresponding homopolymers, but the profile of the curves depends on the implementation. The behavior of the number of junctions between the helical and coiled states is calculated. An unexpected result is obtained that the racemic heteropolymer with a length of 5000 repeated units is divided into about 10 sections during the melting process. We associate this with the behavior of correlation in the system, which will be investigated further.