A Stochastic Model for DNA Sequences Using Prescribed Nucleotide and Length Distributions

A stochastic model that generates artificial DNA sequences with correlation characteristics similar to those observed in real DNA sequences is proposed. A Bernoulli-like process is used to generate patches of DNA with nucleotide content representative of coding and noncoding regions. Alternating coding and noncoding DNA patches are concatenated to form the sequence where the batch length is based on sample statistics. Examples demonstrate that the nonuniform use of codons in coding redons is responsible for the often-observed period-three property. The amplitude of the correlation corresponding to he correlation characteristics of the complete M.tuberculosis B.subtilis, and S.cerensiae (chromosome XI) genomes exhibit two distinct branches corresponding to period-three and non-period-three correlations like those observed for the artificial DNA sequences.