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Discrete Applied Mathematics
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Discrete Applied Mathematics
Article . 2007
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Restricting SBH Ambiguity via Restriction Enzymes

Authors: Steven Skiena; Sagi Snir;

Restricting SBH Ambiguity via Restriction Enzymes

Abstract

AbstractSequencing by hybridization (SBH) is a proposed approach to DNA sequencing. The SBH-spectrum of the target sequence is a list of all k-mers occurring at least once in the sequence. Sequencing is successful if the SBH-spectrum is a result of only that sequence and ambiguous otherwise. Unfortunately, the expected number of sequences consistent with a given spectrum increases exponentially with the target sequence length.In this paper, we extend previous work of [S. Snir, E. Yeger-Lotem, B. Chor, Z. Yakhini, SBH+RE—restriction enzymes dramatically enhance SBH, Technical Report, Department of Computer Science, The Technion, Haifa, Israel, 2002] to increase the resolving power of SBH by including information from enzymatic digestion assays. In addition to the hybridization assay, we conduct a small number of complete digestion assays using different restriction enzymes. The computational phase of identifying consistent sequences then combines the hybridization and digestion information. This combination of SBH and digestion assays significantly increases the length of sequences that can be uniquely determined. We give procedures for selecting the best enzymes for the job, prove that a variant of the reconstruction problem which includes an extra free parameter is hard, and give effective heuristics to improve search-based reconstruction algorithms. We also give a lower bound on the number of restriction enzymes required for unique reconstruction.

Keywords

Information theory, Sequencing by hybridization, Applied Mathematics, NP-hardness, Discrete Mathematics and Combinatorics, Restriction enzymes, de Bruijn graphs

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
hybrid