The Chains of the Clusters of Latent States in DNA Sequencing

<p><strong>Abstract</strong></p>\n<p>The possibilities to write Hidden Markov models from the cluster of latent states of DNA sequences are newly analytically investigated. The originating chains are studied. The sensitivity of the models to small perturbations is newly analytically proven. The comparison between the proposed model and those appearing in the literature is requested to be performed after the comparison of the distances of the corresponding graphs (on the opportune manifold) and of their differential, which is necessitated to compare the fundamental matrices of the originating chains as far as the Kolmogorov backward equations and the Kolmogorov forward equations are concerned.</p>\n<p><strong>Keywords:</strong> Latent states; clusters; DNA sequencing; amino acid substitution; graph theory; chains.</p>