Sentence examples for clusters were performed using from inspiring English sources

Density functional theory (DFT) calculations of optimal geometry, total and formation energies and electronic and vibrational properties of these clusters were performed, using GAMESS (US) program [26].

X-ray diffraction (XRD) measurements of the clusters were performed using a diffractometer (D8 ADVANCE, Bruker) with Cu Kα radiation (1.5418 Å) operated at 40 kV and 40 mA.

Hierarchical clusters were performed using 1 – the Pearson correlation as the distance measure [32].

Estimates of evolutionary rates (nucleotide substitutions site−1 yeand1) and timing of the most recent common ancestors (tMRCA) of the datasets and clusters were performed using a Bayesian Markov Chain Monte Carlo (MCMC) approach as implemented in BEAST v1.5.3 [5].

Functional annotations of gene clusters were performed using GoMiner software [ 27] and the Gene Ontology database [ 77].

Alignments of nucleotide sequences of individual genes and gene clusters were performed using Geneious alignment with default settings.

Identification of protein clusters is performed using the CAST clustering algorithm (see Methods).

Gene ontology analysis of the three gene clusters was performed using DAVID functional annotation clustering.

Heatmap generation and hierarchical clustering were performed using R v3.1.0.

ANOVA, multidimensional scaling and hierarchical clustering were performed using R.

Spearman correlation coefficient and ward clustering were performed using MATLAB®.