FUZZY CODE ON RNA SECONDARY STRUCTURE

In this paper, we developed a fuzzy code technique for molecular phylogenetic analysis. This proposed theory has potential to encode or decode information related to the evolution of sequences traversing from one stage to another in phylogenetic trees. Using this novel methodology we have encoded the sequence of RNA molecule of each species in phylogenetic trees which folds into three-dimensional structure due to transcription, termed as secondary structure.After encoding RNA sequence into the fuzzy code, we wrote mathematical formulation of RNA secondary structure. In addition we establish relation between RNA sequence and their secondary structure. We constructed the fuzzy neural network, fraction of neural neighbour in sequence space for differentiating compatible sequences. We have used technique involution metric, symmetric group, symmetric difference, etc; to establish a difference in secondary structures. AMS Subject Classification: 03E72, 20Bx, 68R10, 20A15, 30Lxx

[1]  M. Deem,et al.  Modulation of Base-Specific Mutation and Recombination Rates EnablesFunctional Adaptation Within the Context of the Genetic Code , 2004, Journal of Molecular Evolution.

[2]  W. Stewart,et al.  The Kronecker product and stochastic automata networks , 2004 .

[3]  C V Forst,et al.  Replication and mutation on neutral networks , 2001, Bulletin of mathematical biology.

[4]  M. Gribskov,et al.  The role of RNA sequence and structure in RNA--protein interactions. , 2011, Journal of molecular biology.

[5]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[6]  Juan J. Nieto,et al.  A metric space to study differences between polynucleotides , 2003, Appl. Math. Lett..

[7]  Christian M. Reidys,et al.  Random Induced Subgraphs of Generalizedn-Cubes , 1997 .

[8]  David H. Mathews,et al.  Predicting a set of minimal free energy RNA secondary structures common to two sequences , 2005, Bioinform..

[9]  Ivo L. Hofacker,et al.  Forna (force-directed RNA): Simple and effective online RNA secondary structure diagrams , 2015, Bioinform..

[10]  Francesc Rosselló,et al.  Reidys' and Stadler's metricsfor RNA contact structures , 2004, Math. Comput. Model..

[11]  Juan J. Nieto,et al.  The fuzzy polynucleotide space: basic properties , 2003, Bioinform..

[12]  Christian M. Reidys,et al.  Bio-molecular Shapes and Algebraic Structures , 1996, Comput. Chem..

[13]  Maryam Zaheri,et al.  A Generalized Mechanistic Codon Model , 2014, Molecular biology and evolution.

[14]  Darren P Martin,et al.  Phylogenetic reconstruction methods: an overview. , 2014, Methods in molecular biology.

[15]  Prabir Bhattacharya,et al.  Some remarks on fuzzy graphs , 1987, Pattern Recognit. Lett..

[16]  M. Waterman Secondary Structure of Single-Stranded Nucleic Acidst , 1978 .

[17]  L. Excoffier,et al.  Estimation of past demographic parameters from the distribution of pairwise differences when the mutation rates vary among sites: application to human mitochondrial DNA. , 1999, Genetics.

[18]  T E Karakasidis,et al.  Fuzzy polynucleotide spaces and metrics , 2006, Bulletin of mathematical biology.

[19]  Friedrich Steimann,et al.  On the use and usefulness of fuzzy sets in medical AI , 2001, Artif. Intell. Medicine.

[20]  Christian M. Reidys,et al.  Evolutionary Dynamics and Optimization: Neutral Networks as Model-Landscapes for RNA Secondary-Structure Folding-Landscapes , 1995, ECAL.

[21]  P. Shannon,et al.  Analysis of Genetic Inheritance in a Family Quartet by Whole-Genome Sequencing , 2010, Science.