PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

On spectral numerical characterizations of DNA sequences based on Hamori curve representation
Janez Žerovnik and Igor Pesek
In: Recent advances in mathematics and computers in biology and chemistry : proceedings of the 10th WSEAS International Conference on Mathematics and Computers in Biology and Chemistry (MCBC'09, March 23-25, 2009, Prague, Czech Republic.

Abstract

We present new numerical characterization of DNA sequences that is based on the modified graphical representation proposed by Hamori. While Hamori embeds the sequence into Euclidean space, we use analogous embedding into the stron gproduct of graphs, $K_4 \boxtimes P_n$, with weighted edges. Based on this representation, a novel numerical characterization was proposed in [Pesek and Zerovnik, MATCH Commun. Math. Comput. Chem. (Krag.), vol 60, 2008, 301-312] which is based on the products of ten eigenvalues from the start and the end of the descending ordered list of the eigenvalues of the $L/L$ matrices associated with DNA. In this paper we compare two further numerical characterizations of the same type emphasizing the robustness of the approach.

EPrint Type:Conference or Workshop Item (Paper)
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:6711
Deposited By:Igor Pesek
Deposited On:08 March 2010