The very rapid growth in molecular sequence data from the daily accretion of
large gene and protein sequencing projects have led to issues regarding viewing and
analyzing the massive amounts of data. Graphical representation and numerical
characterization of DNA, RNA and protein sequences have exhibited great potential to
address these concerns. We review here in brief several different formulations of these
representations and examples of applications to diverse problems based on what this
author had presented at the Second Mathematical Chemistry Workshop of the Americas
in Bogota, Colombia in 2010. In particular, we note several insights that were gained
from such representations, and the applications to the bio-medicinal field.
Keywords: Alignment free sequence comparison, bio-medical applications, chaos
generator representation, DNA graphical representation, DNA numerical
characterization, DNA sequences global characteristics, DNA visualization,
GRANCH applications, GRANCH techniques, identifying potential drug target
regions in viruses, lattice graphs in medical applications, long range correlations,
long range palindromic sequences, phylogenetic trees, protein graphical
representation, protein numerical characterization, purine pyrimidine relationship,
QSAR.
