Novel amino acid distance matrices based on conductance measure

Ancestral relationships among biological species are often represented and analyzed by means of phylogenetic trees. Substitution and distance matrices are two main types of matrices that are used in phylogeny analyses. Substitution matrices describe a frequency change of amino acids in nucleotide or protein sequence over time, while distance matrices estimate phylogeny using a matrix of pairwise distances based on a particular code or analytical concept. Recent investigation by Elena Fimmel and coworkers (Life 11:1338, 2021) showed that: 1. the robustness of a genetic code against point mutations can be described using the conductance measure, and 2. all possible point mutations of the genetic code can be represented as a weighted graph with weights that correspond to the probabilities of these mutations. In this article, we constructed and tested three novel distance matrices based on conductance measure, that take into account the point mutation robustness of the Standard Genetic Code (SGC). These distance matrices are based on maximum (CMAX), average (CAVG), and minimum (CMIN) conductance-optimized distances between codons coding for individual amino acids. The performance of those distance matrices was tested on a dataset of RecA proteins in Bacteria, Archaea (RadA homolog) and Eukarya (Rad51 homolog). RecA protein and its functional homologs were selected for this investigation since they are essential for the repair and maintenance of DNA, and consequently well conserved and present in all domains of life. PAM250 and BLOSUM62 matrices were usually used as a standard for distance matrix testing. PAM250 and BLOSUM62 substitution matrices specified accurately three biological domains of life according to Carl Woese and George Fox (Proc Natl Acad Sci U S A 74:5088, 1977). An identical result was obtained using three novel distance matrices (CMIN, CMAX, CAVG). This result supports the applicability of novel distance matrices based on the conductance method and suggests that further investigations based on this approach are justified.