Looking for remnants of the very early nucleotide sequences in DNA

Single-cell organisms probably started from a self-replicating RNA enclosed in a phospholipid membrane. In the beginning, these RNA segments were presumably assembled in some porous rocks where they were protected from radiation damage. These RNA sequences were formed by linking nucleotides containing adenine (A), uracil (U), guanine (G), and cytosine ( C ). Later this self-replicating RNA becomes DNA by replacing U with a thymine (T). Since the energy involved in attaching a nucleotide with a G is different from attaching a nucleotide with an A, etc., not all arrangements of the nucleotides will be created with equal frequency. For any given total number of nucleotides, the most abundant will be the sequences that belong to the macrostate that has the most number of microstates; the states in statistical equilibrium. These sequences which were in statistical equilibrium at the beginning could remain in the current organisms. We have developed a single particle energy model for DNA and for a given number of base pairs, we used the Monte Carlo method to construct the sequences that align with statistical equilibrium. We check these sequences against the human DNA data set available from the NCBI database. We have found that these most abundant sequences still linger in our current-day DNA.