## Main

DNA sequencing has markedly changed the nature of biomedical research and medicine. Reductions in the cost, complexity and time required to sequence large amounts of DNA, including improvements in the ability to sequence bacterial and eukaryotic genomes, will have significant scientific, economic and cultural impact. Large-scale sequencing projects, including whole-genome sequencing, have usually required the cloning of DNA fragments into bacterial vectors, amplification and purification of individual templates, followed by Sanger sequencing1 using fluorescent chain-terminating nucleotide analogues2 and either slab gel or capillary electrophoresis. Current estimates put the cost of sequencing a human genome between $10 million and$25 million3. Alternative sequencing methods have been described4,5,6,7,8; however, no technology has displaced the use of bacterial vectors and Sanger sequencing as the main generators of sequence information.

Here we describe an integrated system whose throughput routinely enables applications requiring millions of bases of sequence information, including whole-genome sequencing. Our focus has been on the co-development of an emulsion-based method9,10,11 to isolate and amplify DNA fragments in vitro, and of a fabricated substrate and instrument that performs pyrophosphate-based sequencing (pyrosequencing5,12) in picolitre-sized wells.

In a typical run we generate over 25 million bases with a Phred quality score of 20 or better (predicted to have an accuracy of 99% or higher). Although this Phred 20 quality throughput is significantly higher than that of Sanger sequencing by capillary electrophoresis, it is currently at the cost of substantially shorter reads and lower average individual read accuracy. Sanger-based capillary electrophoresis sequencing systems produce up to 700 bases of sequence information from each of 96 DNA templates at an average read accuracy of 99.4% in 1 h, or 67,000 bases per hour, with substantially all of the bases having Phred 20 or better quality23. We further characterize the performance of the system and demonstrate that it is possible to assemble bacterial genomes de novo from relatively short reads by sequencing a known bacterial genome, Mycoplasma genitalium (580,069 bases), and comparing our shotgun sequencing and de novo assembly with the results originally obtained for this genome13. The results of shotgun sequencing and de novo assembly of a larger bacterial genome, that of Streptococcus pneumoniae14 (2.1 megabases (Mb)), are presented in Supplementary Table 4.

## Emulsion-based sample preparation

We generate random libraries of DNA fragments by shearing an entire genome and isolating single DNA molecules by limiting dilution (Supplementary Methods). Specifically, we randomly fragment the entire genome, add specialized common adapters to the fragments, capture the individual fragments on their own beads and, within the droplets of an emulsion, clonally amplify the individual fragment (Fig. 1a, b). Unlike in current sequencing technology, our approach does not require subcloning in bacteria or the handling of individual clones; the templates are handled in bulk within the emulsions9,10,11.

## Sequencing in fabricated picolitre-sized reaction vessels

We perform sequencing by synthesis simultaneously in open wells of a fibre-optic slide using a modified pyrosequencing protocol that is designed to take advantage of the small scale of the wells. The fibre-optic slides are manufactured by slicing of a fibre-optic block that is obtained by repeated drawing and fusing of optic fibres. At each iteration, the diameters of the individual fibres decrease as they are hexagonally packed into bundles of increasing cross-sectional sizes. Each fibre-optic core is 44 µm in diameter and surrounded by 2–3 µm of cladding; etching of each core creates reaction wells approximately 55 µm in depth with a centre-to-centre distance of 50 µm (Fig. 1c), resulting in a calculated well size of 75 pl and a well density of 480 wells mm-2. The slide, containing approximately 1.6 million wells15, is loaded with beads and mounted in a flow chamber designed to create a 300-µm high channel, above the well openings, through which the sequencing reagents flow (Fig. 2a, b). The unetched base of the slide is in optical contact with a second fibre-optic imaging bundle bonded to a charge-coupled device (CCD) sensor, allowing the capture of emitted photons from the bottom of each individual well (Fig. 2c; see also Supplementary Methods).

We developed a three-bead system, and optimized the components to achieve high efficiency on solid support. The combination of picolitre-sized wells, enzyme loading uniformity allowed by the small beads and enhanced solid support chemistry enabled us to develop a method that extends the useful read length of sequencing-by-synthesis to 100 bases (Supplementary Methods).

In the flow chamber cyclically delivered reagents flow perpendicularly to the wells. This configuration allows simultaneous extension reactions on template-carrying beads within the open wells and relies on convective and diffusive transport to control the addition or removal of reagents and by-products. The timescale for diffusion into and out of the wells is on the order of 10 s in the current configuration and is dependent on well depth and flow channel height. The timescales for the signal-generating enzymatic reactions are on the order of 0.02–1.5 s (Supplementary Methods). The current reaction is dominated by mass transport effects, and improvements based on faster delivery of reagents are possible. Well depth was selected on the basis of a number of competing requirements: (1) wells need to be deep enough for the DNA-carrying beads to remain in the wells in the presence of convective transport past the wells; (2) they must be sufficiently deep to provide adequate isolation against diffusion of by-products from a well in which incorporation is taking place to a well where no incorporation is occurring; and (3) they must be shallow enough to allow rapid diffusion of nucleotides into the wells and rapid washing out of remaining nucleotides at the end of each flow cycle to enable high sequencing throughput and reduced reagent use. After the flow of each nucleotide, a wash containing apyrase is used to ensure that nucleotides do not remain in any well before the next nucleotide being introduced.

## Base calling of individual reads

Nucleotide incorporation is detected by the associated release of inorganic pyrophosphate and the generation of photons5,12. Wells containing template-carrying beads are identified by detecting a known four-nucleotide ‘key’ sequence at the beginning of the read (Supplementary Methods). Raw signals are background-subtracted, normalized and corrected. The normalized signal intensity at each nucleotide flow, for a particular well, indicates the number of nucleotides, if any, that were incorporated. This linearity in signal is preserved to at least homopolymers of length eight (Supplementary Fig. 6). In sequencing by synthesis a very small number of templates on each bead lose synchronism (that is, either get ahead of, or fall behind, all other templates in sequence16). The effect is primarily due to leftover nucleotides in a well (creating ‘carry forward’) or to incomplete extension. Typically, we observe a carry forward rate of 1–2% and an incomplete extension rate of 0.1–0.3%. Correction of these shifts is essential because the loss of synchronism is a cumulative effect that degrades the quality of sequencing at longer read lengths. We have developed algorithms, based on detailed models of the underlying physical phenomena, that allow us to determine, and correct for, the amounts of carry forward and incomplete extension occurring in individual wells (Supplementary Methods). Figure 3 shows the processed result, a 113-bases-long read generated in the M. genitalium run discussed below. To assess sequencing performance and the effectiveness of the correction algorithms, independently of artefacts introduced during the emulsion-based sample preparation, we created test fragments with difficult-to-sequence stretches of identical bases of increasing length (homopolymers) (Supplementary Methods and Supplementary Fig. 4). Using these test fragments, we have verified that at the individual read level we achieve base call accuracy of approximately 99.4%, at read lengths in excess of 100 bases (Table 1).

## High-quality reads and consensus accuracy

Before base calling or aligning reads, we select high-quality reads without relying on a priori knowledge of the genome or template being sequenced (Supplementary Methods). This selection is based on the observation that poor-quality reads have a high proportion of signals that do not allow a clear distinction between a flow during which no nucleotide was incorporated and a flow during which one or more nucleotide was incorporated. When base calling individual reads, errors can occur because of signals that have ambiguous values (Supplementary Fig. 5). To improve the usability of our reads, we also developed a metric that allows us to estimate ab initio the quality (or probability of correct base call) of each base of a read, analogous to the Phred score17 used by current Sanger sequencers (Supplementary Methods and Supplementary Fig. 8).

Higher quality sequence can be achieved by taking advantage of the high over sampling that our system affords and building a consensus sequence. Sequences are aligned to one another using the signal strengths at each nucleotide flow, rather than individual base calls, to determine optimal alignment (Supplementary Methods). The corresponding signals are then averaged, after which base calling is performed. This approach greatly improves the accuracy of the sequence (Supplementary Fig. 7) and provides an estimate of the quality of the consensus base. We refer to that quality measure as the Z-score—it is a measure of the spread of signals in all the reads at one location and the distance between the average signal and the closest base-calling threshold value. In both re-sequencing and de novo sequencing, as the minimum Z-score is raised the consensus accuracy increases, while coverage decreases; approximately half of the excluded bases, as the Z-score is increased, belong to homopolymers of length four and larger. Sanger sequencers usually require a depth of coverage at any base of three or more in order to achieve a consensus accuracy of 99.99%. To achieve a minimum of threefold coverage of 95% of the unique portions of a typical genome requires approximately seven- to eightfold over sampling. Owing to our higher error rate, we have observed that comparable consensus accuracies, over a similar fraction of a genome, are achieved with a depth of coverage of four or more, requiring approximately ten to twelve times over sampling.

## Mycoplasma genitalium

We assembled the M. genitalium reads from a single run into 25 contigs with an average length of 22.4 kb. One of these contigs was misassembled due to a collapsed tandem repeat region of 60 bases, and was corrected by hand. The original sequencing of M. genitalium resulted in 28 contigs before directed sequencing used for finishing the sequence13. Our assembly covered 96.54% of the genome and attained a consensus accuracy of 99.96%. Non-resolvable repeat regions amount to 3% of the genome: we therefore covered 99.5% of the unique portions of the genome. Sixteen of the breaks between contigs were due to non-resolvable repeat regions, two were due to missed overlapping reads (our read filter and trimmer are not perfect and the algorithms we use to perform the pattern matching of flowgrams occasionally miss valid overlaps) and the remainder to thin read coverage. Setting a minimum Z-score of 4, coverage was reduced to 95.27% of the genome (98.2% of the resolvable part of the genome) with the consensus accuracy increasing to 99.994%.

## Discussion

We have demonstrated the simultaneous acquisition of hundreds of thousands of sequence reads, 80–120 bases long, at 96% average accuracy in a single run of the instrument using a newly developed in vitro sample preparation methodology and sequencing technology. With Phred 20 as a cutoff, we show that our instrument is able to produce over 47 million bases from test fragments and 25 million bases from genomic libraries. We used test fragments to de-couple our sample preparation methodology from our sequencing technology. The decrease in single-read accuracy from 99.4% for test fragments to 96% for genomic libraries is primarily due to a lack of clonality in a fraction of the genomic templates in the emulsion, and is not an inherent limitation of the sequencing technology. Most of the remaining errors result from a broadening of signal distributions, particularly for large homopolymers (seven or more), leading to ambiguous base calls. Recent work on the sequencing chemistry and algorithms that correct for crosstalk between wells suggests that the signal distributions will narrow, with an attendant reduction in errors and increase in read lengths. In preliminary experiments with genomic libraries that also include improvements in the emulsion protocol, we are able to achieve, using 84 cycles, read lengths of 200 bases with accuracies similar to those demonstrated here for 100 bases. On occasion, at 168 cycles, we have generated individual reads that are 100% accurate over greater then 400 bases.

Using M. genitalium we demonstrate that short fragments a priori do not prohibit the de novo assembly of bacterial genomes. In fact, the larger over sampling afforded by the throughput of our system resulted in a draft sequence having fewer contigs than with Sanger reads, with substantially less effort. By taking advantage of the over sampling, consensus accuracies greater then 99.96% were achieved for this genome. Further quality filtering of the assembly results in the selection of a consensus sequence with accuracy exceeding 99.99% while incurring only a minor loss of genome coverage. Comparable results were seen when we shotgun sequenced and de novo assembled the 2.1-Mb genome of Streptococcus pneumoniae14 (Supplementary Table 4). The de novo assembly of genomes more complex than bacteria, including mammalian genomes, may require the development of methods similar to those developed for Sanger sequencing, to prepare and sequence paired end libraries that can span repeats in these genome. To facilitate the use of paired end libraries we have developed methods to sequence, in an individual well, from both ends of genomic template, and plan to add paired end read capabilities to our assembler (Supplementary Methods).

Future increases in throughput, and a concomitant reduction in cost per base, may come from the continued miniaturization of the fibre-optic reactors, allowing more sequence to be produced per unit area—a scaling characteristic similar to that which enabled the prediction of significant improvements in the integrated circuit at the start of its development cycle18.