The Template Modeling Score or TM-score is a measure of similarity between two protein structures with different tertiary structures. The TM-score is intended as a more accurate measure of the quality of full-length protein structures than the often used RMSD and GDT measures. The TM-score indicates the difference between two structures by a score between , where 1 indicates a perfect match between two structures[1]. Generally scores below 0.20 corresponds to randomly chosen unrelated proteins whereas structures with a score higher than 0.5 assume roughly the same fold[2]. A quantitative study [3] shows that proteins of TM-score = 0.5 have a posterior probability of 37% in the same CATH Topology family and of 13% in the same SCOP Fold family. The probabilities increase rapidly when TM-score >0.5. The TM-score is designed to be independent of protein lengths.
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where and are the lengths of the target protein and the aligned region respectively. is the distance between the th pair of residues and
is a distance scale that normalizes distances.