An Analysis of Palindromes and n-nary Tract Frequencies found in a Genomic Sequence

Abstract

As previously mentioned, the current work is based on previous research [1][2][3][4][5][6]. The data used in the investigation concerned the human gene p53, as given in genebank. MethodsA special technique has been derived that is supported by further formalism and was validated by a program [7]. DefinitionsTract: A tract is a sub-sequence within a sequence of events having a mutual property. Examples:a. A sequence of events, for example, tossing a coin. Each event can have one of two values S (the coin falling on heads) or F (the coin falling on tails) [8].b. A genomic sub-sequence consisting of nucleotides having special properties. An event is associated with one of the nucleotides from a set of nucleotides. c. sub-sequence of a wide spectrum of qualities of a product in a serial mass production.Source-set: Source-Set is a set of elements that builds the sequence.Kernel set: Kernel-Set is a set of elements. The tract is built from elements taken from the Kernel-Set. The Kernel-Set is a subset of a Source-Set. Unary tract:A tract that is composed of one type of elements, i.e., a set of elements from which the tract elements are composed, and which contain one element only. The cardinality of the Kernel-Set of the unary tract is one.Exact unary tract: Exact Unary Tract is a unary tract that cannot be enlarged by exactly one element (one of its neighbors' elements) and remain a unary-tract. Namely, the exact-unary-tract cannot be contained in another unary-tract.Binary tract: Binary Tract is a tract whose Kernel-Set has a cardinality of two.

New Algorithms for Genome Characterization, Epigenetic Profiling Analysis, Data Mining and Population-based Studies

“…The following two papers focus on algorithm development for genome analysis and development microsatellite markers. The research described by D. Ophir in his paper ' An Analysis of Palindromes and n-nary Tract Frequencies found in a Genomic Sequence' [4] is based on previous work by E. Chargaff and colleagues [5,6], who studied the over-representation of certain DNA binary tracts in the genomes of various species. The research described in this paper examines ternary tracts and the palindromes called 'designated tracts' .…”

“…The research described in this paper examines ternary tracts and the palindromes called 'designated tracts' . As the author shows, the binary tracts are over-represented to the same extent as the ternary tracts.Therefore, he concludes that the binary tracts dominate because they have biological impacts, but the ternary tracts do not contribute to biological impacts [4].…”