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The pairwise comparison of RNA secondary structures is a fundamental problem, with direct application in mining databases for annotating putative noncoding RNA candidates in newly sequenced genomes. An increasing number of software tools are available for comparing RNA secondary structures, based on different models (such as ordered trees or forests, arc annotated sequences, and multilevel trees) and computational principles (edit distance, alignment). We describe here the website BRASERO that offers tools for evaluating such software tools on real and synthetic datasets.
Motivated by the fundamental role of RNAs, and especially of small noncoding RNAs, several methods for high-throughput generation of noncoding RNA candidates have been developed recently [1–3]. A fundamental problem is then to infer functional annotation for such putative RNA genes [4, 5] which often involves RNA structure comparisons. Most approaches to compare RNA structures focus on the secondary structure, an intermediate level between the sequence and the full three-dimensional structure, which is both tractable from a computational point of view and relevant from a functional genomics point of view. The problem we consider here is the following: given a new RNA secondary structure (the query) and a database of known and annotated RNA secondary structures which of these known structures display most structural features similar to the query? Databases such as RFAM  or RNA STRAND  come naturally to mind, but in-house collections of RNA structures resulting from high-throughput experiments can also be considered.
Fundamentally, mining a database of RNA secondary structures naturally reduces to pairwise comparisons between the query and the (or a subset of the) structures recorded in the database. The pairwise comparison of RNA secondary structures is a long-standing problem in computational biology, that is still being investigated, as shown by several recent papers, based on different RNA structure representations and computational principles (e.g., [8–12]).
We present here BRASERO, a website that contains several benchmark data sets and automatic software tools to compare the performances of RNA secondary structure comparison methods. The software tools available on BRASERO are flexible and can be used with alternative benchmarks data sets, for example designed by a user with some specific application in mind, with the purpose to assess which models/software tools/parameters are relevant for their own specific application. We describe below the main features of BRASERO and illustrate its use by presenting a short evaluation of several pairwise comparison programs based on computing an edit distance or alignment.
A BRASERO benchmark, either provided on BRASERO or designed by a user, aims at assessing the ability of several pairwise RNA secondary structures comparison software tools to properly classify the sequences into positive and negative sets with respect to a given reference set. This assessment is motivated by the practical problem of identifying similar structures (structural homologs) into a large RNA database (see Figure 1).
A benchmark is composed of three sets of RNA (sequences and structures): the reference, positive, and negative sets. For the BRASERO benchmarks currently available, the reference is a set of RNA secondary structures which are all assumed to be members of a same RNA family and for which reliable secondary structures are known; the notion of family or reliable structure could be relaxed in an ad hoc way for specific new benchmarks.
The positive set contains RNA secondary structures that are assumed to belong to the same family as the reference set. The negative set is a set of RNA secondary structures that do not belong to the reference family. More precisely, let be an RNA family. The reference set is denoted by R. A set P s of RNA gene sequences that belong to but not to R is folded into putative secondary structures using various programs such as mfold , RNAshapes , or RNAsubopt . For each RNA folding method, both optimal and several suboptimal structures are kept. The set of secondary structures obtained from this folding is the positive set and denoted by P. Finally, we consider a set N s of sequences randomly picked from a noise source that is supposed to be free of RNA from and whose lengths have the same distribution as the RNA in R. Sequences of N s are folded (using the same programs and parameters as for P s) to form the negative set N.
BRASERO currently comes with data for 5 families: subunit 16S of ribosomal RNAs, microRNAs, small RNAs (sRNAs), Signal Recognition Particles (SRP), and transfer RNAs (tRNAs). The reference genes have been selected manually by the RNA biologists of our team to satisfy the following criteria: accuracy of the structures and inclusion of a large set of possible variations, both in terms of structure and length. To generate sequences of the negative set F, we use several sources: viral genomes (from the NCBI Viral Genome Resource) , ENCODE sequences , and GenRGenS, a generator of random structured sequences . The BRASERO website contains also a documentation on the file formats of a benchmark and the required steps to design a benchmark.
To assess a pairwise RNA secondary structure comparison method, we compare each structure of R with each structure of T and F using this method. Then for each sequence of T and F the best score obtained over the comparison of its putative secondary structures and the elements of R is kept. Finally, sequences of T and F are sorted according to these scores. A receiver operating characteristic (ROC) curve is plotted to represent the capability of separating true events (sequences known to be from the family) and false events (sequences not in ). This curve shows the false-positive rate versus the true-positive rate. The ROC curve of a given benchmark is based on a single run. Indeed, the process of analyzing a benchmark is purely deterministic, the only random aspect lying in the design of the benchmark. For a given RNA family it is possible to design several benchmarks, with several sources (possibly random) of negative sequences.
To perform such experiment with several RNA comparison methods on the same benchmark, a benchmarking engine is available on the BRASERO website. It consists of a Java program, that takes as input a benchmark, the considered comparison software tools, and, for every comparison software, a parameters file and a Java class to interface it with the engine. The Java interfaces for several of the classical RNA secondary structure comparison software tools are provided on the website, and a documentation on the format of such interface is also available. For each integrated tool, a Java class indicates if the best score is the smallest (distance approach) or the largest (similarity approach). This information is used to sort the results. Additional Python and Java programs are available to analyze results, to compute ROC curves or to build new benchmarks.
We conclude this section with two important remarks. First the results of a benchmark depend on the method used to fold the positive and negative sets, so our approach can be seen as an evaluation of the combined folding + comparison process. Next, in order to perform a proper assessment of pairwise RNA secondary structure comparison method, the scripts available on the BRASERO website do assume that the RNA structure comparison methods are symmetric and thus do not depend on the order in which two structures are compared. It is up to the users to ensure that the methods they compare satisfy this assumption; classical approach to handle such methods will, for example, average or take the minimum of comparing the structures in both possible orders. Such approaches can easily be implemented in the short JAVA class that has to be written to assess a comparison method (see below).
We illustrate here a typical use of the BRASERO website, by comparing several programs based on computing an edit distance or an alignment between pairs of RNA secondary structures, applied on a benchmark for the RNA family of Signal Recognition Particle (SRP). We compare six tools: RNAdistance , RNAforester , MiGaL , TreeMatching , Gardenia , NestedAlign , and RNAStrAT . These tools rely on different models of secondary structures, such as ordered trees, multilayers models, arc-annotated sequences, but are all based on the edit distance and alignment approach pioneered in [19, 21–23]. As these tools also rely on a different usage of the primary sequence conservation, we also included BLAST  for comparison. For each software, the default parameters were used.
RNAforester is an ordered trees local/global alignment algorithm. It uses a special tree encoding that allows to break nucleotide pairings under certain conditions. MiGaL uses a multilevel representation of the secondary structure composed by four layers coded by rooted ordered trees. The layers model different structural levels from multiloop network to the sequence of nucleotides composing the RNA. The algorithm successively applies edit distance computations to each layer. TreeMatching is based on a quotiented tree representation of the secondary structure which is an autosimilar structure composed of two rooted ordered trees on two different scales (nucleotides and structural elements). The core of the method relies on the comparison of both scales simultaneously: it computes an edit distance between quotiented trees at the macroscopic scale using edit costs defined as edit distances between subtrees at the microscopic scale. Gardenia and NestdAlign use an arc-annotated-based representation, that allows for complex edit operations, such as arc breaking or arc altering. They allow local and global alignment features. Gardenia notably allows affine gap scores, while NestedAlign implements an original local alignment algorithm. RNAStrAT performs the comparison in two steps. First, it compares stems of the two structures using an alignment algorithm with complex edit operations. Then it finds an optimal mapping between the different stems. All tools were used with the default parameters (in particular their default scoring scheme). We applied all tools on a benchmark available on BRASERO for the SRP family benchmark, with noise obtained from viral genomes (details are available on the website). Results are illustrated in Figure 2. Note the choice of the scoring scheme for a given tool may greatly impact the final results and should be evaluated independently before using BRASERO.
We can observe on Figure 2 a clear separation between the software tools based on the principle of computing a global alignment of arc-annotated sequences, and the software tools based on multilayer or hierarchical approaches, that rely on more local alignments. The later seem to perform better, that is, to have a better classification power for the SRP family. Without providing a full analysis of the obtained results, which is beyond the scope of this note, a possible explanation could be that the SRP family exhibits much less sequence and structure conservation than other RNA families (such as tRNA) and that multilayer approaches are able to break down the task of aligning two structures into corresponding sub-structures. This observation, together with its interpretation, can then be used directly in restricting the set of software tools/models to consider when analyzing SRP secondary structures, but also in a longer term perspective by orienting further research specific to this family towards methods based on a multilayer approach.
BRASERO provides useful tools and benchmarks for comparing RNA secondary structures software tools. Application can be in helping researchers decide on which tool to use either for comparing new RNA secondary structures with a specific family, or in assessing good parameters for pairwise comparison software tools in mining large sets of RNA secondary structures.
Further developments will consist in increasing the number of benchmarks and allowing users to provide their own benchmarks, and in developing additional analysis tools.
This work was funded by the ANR (Agence Nationale pour la Recherche) project BRASERO (ANR-06-BLAN-0045). Additional funding was provided by the Pacific Institute for Mathematical Sciences (PIMS, UMI CNRS 3069) and the Natural Sciences and Engineering Research Council of Canada (NSERC).