Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2011-10-18
Biology
Quantitative Biology
Populations and Evolution
Scientific paper
In a recent paper, Klaere et al. modeled the impact of substitutions on arbitrary branches of a phylogenetic tree on an alignment site by the so-called One Step Mutation (OSM) matrix. By utilizing the concept of the OSM matrix for the four-state nucleotide alphabet, Nguyen et al. presented an efficient procedure to compute the minimal number of substitutions needed to translate one alignment site into another.The present paper delivers a proof for this computation.Moreover, we provide several mathematical insights into the generalization of the OSM matrix to multistate alphabets.The construction of the OSM matrix is only possible if the matrices representing the substitution types acting on the character states and the identity matrix form a commutative group with respect to matrix multiplication. We illustrate a means to establish such a group for the twenty-state amino acid alphabet and critically discuss its biological usefulness.
Fischer Mareike
Klaere Steffen
Thi Nguyen Minh Anh
von Haeseler Arndt
No associations
LandOfFree
On the group theoretical background of assigning stepwise mutations onto phylogenies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the group theoretical background of assigning stepwise mutations onto phylogenies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the group theoretical background of assigning stepwise mutations onto phylogenies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-290675