The evolution processes of DNA sequences, languages and carols

The sequences of bases A, T, C and G of about 100 enolase, secA and cytochr ome DNA were analyzed for attractive or repulsive interactions by the numbe rs T-1, T-2, T-3; r of nearest, next-nearest and third neighbor bases of th e same kind and the concentration r = other bases/analyzed base. The area o f possible T-1, T-2 values is limited by the linear borders T-2 = 2T(1) - 2 , T-2 = 0 or T-1 = 0 for clustering, attractive or repulsive interactions a nd the border T-2 = -2T(1) + 2(2 - r) for a variation from repulsive to att ractive interactions at r much less than 2. Clustering is preferred by most bases in sequences of enolases and secA's. Major deviations with repulsive interactions of some bases are observed fur archaea bacteria in secA and f or highly developed animals and the human species in enolase sequences. The borders of the structure map for enthalpy stabilized structures with maxim um interactions are approached in few cases. Most letters of the natural la nguages and some music notes are at the borders of the structure map. (C) 2 001 Elsevier Science B.V. All rights reserved.