Unit disk graph recognition is NP-hard
Computational Geometry: Theory and Applications - Special issue on geometric representations of graphs
Introduction to Bioinformatics
Introduction to Bioinformatics
Reconstruction of 3D structures from protein contact maps
ISBRA'07 Proceedings of the 3rd international conference on Bioinformatics research and applications
Computational Intelligence Methods for Bioinformatics and Biostatistics
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In this paper we describe FT-COMAR an algorithm that improves fault tolerance of our heuristic algorithm (COMAR) previously described for protein reconstruction [10]. The algorithm [COMAR-Contact Map Reconstruction] can reconstruct the three-dimensional (3D) structure of the real protein from its contact map with 100% efficiency when tested on 1760 proteins from different structural classes. Here we test the performances of COMAR on native contact maps when a perturbation with randomerrors is introduced. This is done in order to simulate possible scenarios of reconstruction from predicted (and therefore highly noised) contact maps. From our analysis we obtain that our algorithm performs better reconstructions on blurred contact maps when contacts are under predicted than over predicted. Moreover wemodify the algorithm into FTCOMAR [Fault Tolerant-COMAR] in order to use it with incomplete contact maps. FT-COMAR can ignore up to 75% of the contact map and still recover from the remaining 25% entries a 3D structure whose root mean square deviation (RMSD) from the native one is less then 4 Å. Our results indicate that the quality more than the quantity of predicted contacts is relevant to the protein 3D reconstruction and that some hints about "unsafe" areas in the predicted contact maps can be useful to improve reconstruction quality. For this, we implement a very simple filtering procedure to detect unsafe areas in contact maps and we show that by this and in the presences of errors the performance of the algorithm can be significantly improved. Furthermore, we show that both COMAR and FT-COMAR overcome a previous state-of-the-art algorithm for the same task [13].