Abstract
While short read aligners, which predominantly use the FM-index, are able to easily index one or a few human genomes, they do not scale well to indexing databases containing thousands of genomes. To understand why, it helps to examine the main components of the FM-index in more detail, which is a rank data structure over the Burrows-Wheeler Transform (\({\mathsf{BWT}}\)) of the string that will allow us to find the interval in the string’s suffix array (\({\mathsf{SA}}\)) containing pointers to starting positions of occurrences of a given pattern; second, a sample of the \({\mathsf{SA}}\) that—when used with the rank data structure—allows us access to the \({\mathsf{SA}}\). The rank data structure can be kept small even for large genomic databases, by run-length compressing the \({\mathsf{BWT}}\), but until recently there was no means known to keep the \({\mathsf{SA}}\) sample small without greatly slowing down access to the \({\mathsf{SA}}\). Now that Gagie et al. (SODA 2018) have defined an \({\mathsf{SA}}\) sample that takes about the same space as the run-length compressed \({\mathsf{BWT}}\)—we have the design for efficient FM-indexes of genomic databases but are faced with the problem of building them. In 2018 we showed how to build the \({\mathsf{BWT}}\) of large genomic databases efficiently (WABI 2018) but the problem of building Gagie et al.’s \({\mathsf{SA}}\) sample efficiently was left open. We compare our approach to state-of-the-art methods for constructing the \({\mathsf{SA}}\) sample, and demonstrate that it is the fastest and most space-efficient method on highly repetitive genomic databases. Lastly, we apply our method for indexing partial and whole human genomes and show that it improves over Bowtie with respect to both memory and time.
Availability: The implementations of our methods can be found at https://gitlab.com/manzai/Big-BWT (BWT and SA sample construction) and at https://github.com/alshai/r-index (indexing).
A. Kuhnle and T. Mun—Equal contribution, ordered alphabetically.
C. Boucher, T. Gagie, B. Langmead and G. Manzini—Equal contribution, ordered alphabetically.
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Notes
- 1.
With the \({\mathsf{SA}}\) sample of Gagie et al. [11], this index is termed the r-index.
- 2.
Given a sequence (string) S[1, n] over an alphabet \(\varSigma = \{1,\ldots ,\sigma \}\), a character \(c \in \varSigma \), and an integer i, \(\textsf {rank}_c(S,i)\) is the number of times that c appears in S[1, i].
- 3.
Sampled means that only some fraction of entries of the suffix array are stored.
- 4.
For technical reasons, the string S must terminate with w copies of lexicographically least \(\$\) symbol.
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Acknowledgements
AK and CB were supported by the National Institute of Allergy and Infectious Diseases of the National Institutes of Health (1R01AI141810-01) and NSF-IIS (1618814). TM and BL were supported by the National Institutes of Health (R01GM118568) and NSF-IIS (1349906). TG was supported by FONDECYT grant 1171058 Compression-aware algorithmics. GM was partially supported by PRIN grant 201534HNXC and by INdAM-GNCS Project 2019 Innovative methods for the solution of medical and biological big data.
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Kuhnle, A., Mun, T., Boucher, C., Gagie, T., Langmead, B., Manzini, G. (2019). Efficient Construction of a Complete Index for Pan-Genomics Read Alignment. In: Cowen, L. (eds) Research in Computational Molecular Biology. RECOMB 2019. Lecture Notes in Computer Science(), vol 11467. Springer, Cham. https://doi.org/10.1007/978-3-030-17083-7_10
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