Characterizing Intermediate Conformations in Protein Conformational Space

Abstract

In this paper we present a novel parallel coordinate based clustering method using Gaussian mixture distribution models to characterize the conformational space of proteins. We detect highly populated regions which may correspond to intermediate states that are difficult to detect experimentally. The data is represented as feature vectors of N dimensions, which are lower-dimension projections of the protein conformations. Parallel coordinates are a visualization technique that lays out coordinate axes in parallel rather than orthogonal to each other, thereby allowing patterns between pairs of axis as well as outliers to be visually identified in multi-dimensional data. We believe that the size of the resulting clusters may provide information about the likelihood of the corresponding conformations to exist as important intermediates. We tested our method on the conformational space for the enzyme Adenylate Kinase (AdK) which undergoes large scale conformational changes and used our method to detect clusters which may correspond to experimentally known intermediates. Finally, we compare our clusters with the ones generated by the K-Means clustering algorithm and discuss the advantages of our method for the problem of characterizing proteins conformational space.