S. V. Kozyrev, I. V. Volovich
We construct a model of a lattice polymer which describes secondary structures of proteins. In this model the energy of a conformation of a polymer is equal to a sum of energies of conformations of segments of the polymer chain of the length five. We show that for this model with cooperative interaction all conformations with minimal energy are combinations of lattice models of alpha-helix and beta-strand. We show that for lattice polymers of the length not longer that 38 monomers we can describe all conformations with minimal energy.
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http://arxiv.org/abs/1206.4424
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