Minimisation of Switching Functions for Effective Biological Sequence Analysis

Application of algebraic theoretic methods in study of DNA have been proposed recently. For instance the Boolean algebra of the four DNA bases and the Boolean algebra of the genetic code (Sanchez et al., 2004a, 2004b and 2005a). The Boolean structures were defined using the most elementary physiochemical properties of bases, the hydrogen bond numberings and base chemical types (both purines or pyrimidines). Also from the Boolean lattice of four DNA bases, a vector space and a Lie algebra was established using a new algebraic framework of the genetic code. Moreso a novel lie algebra of the genetic code over the Galois field of four DNA base was established (Robersy Sanchez, Ricardo Garau 1985) there connecting thealgebraic relationships among codons to physiochemical properties of amino acids, codon assignment and single point mutation in genes. The proposed work aim at minimization of switching functions in the computations and analysis of biological sequence, thereby reducing unwanted literals.