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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 2012 Mar 26;109(15):5856–5861. doi: 10.1073/pnas.1111133109

Hierarchical clustering of brain activity during human nonrapid eye movement sleep

Mélanie Boly a,1, Vincent Perlbarg b,1, Guillaume Marrelec b, Manuel Schabus a,2, Steven Laureys a, Julien Doyon c, Mélanie Pélégrini-Issac b, Pierre Maquet a,3, Habib Benali b
PMCID: PMC3326471  PMID: 22451917

Abstract

Consciousness is reduced during nonrapid eye movement (NREM) sleep due to changes in brain function that are still poorly understood. Here, we tested the hypothesis that impaired consciousness during NREM sleep is associated with an increased modularity of brain activity. Cerebral connectivity was quantified in resting-state functional magnetic resonance imaging times series acquired in 13 healthy volunteers during wakefulness and NREM sleep. The analysis revealed a modification of the hierarchical organization of large-scale networks into smaller independent modules during NREM sleep, independently from EEG markers of the slow oscillation. Such modifications in brain connectivity, possibly driven by sleep ultraslow oscillations, could hinder the brain's ability to integrate information and account for decreased consciousness during NREM sleep.

Keywords: complexity, integration


During nonrapid eye movement (NREM) sleep, we are less aware of ourselves and our environment and, if we awaken, are less able to recollect any mental representation than during full-blown wakefulness (1). The mechanisms underpinning the reduction in conscious content during NREM sleep are still uncertain. Consciousness has been associated with the ability of a system to integrate information (2), which could be altered during NREM sleep. Here, in contrast to previous work (3, 4), we quantified changes in information integration from wakefulness to NREM sleep in large-scale brain networks and computed both their total integration and their degree of functional clustering. Functional clustering estimates how integration is hierarchically organized within and across the constituent parts of a system. It has been proposed as an empirically tractable measure for complexity of brain integration (5), which is considered a better estimate of the capacity to integrate information than total integration (6).

We assessed brain functional connectivity on functional MRI (fMRI) data, which reflect the slow dynamics of local field potentials rather than instantaneous neural activities (7). Data were collected in a single nocturnal session in 13 participants who maintained periods of steady NREM sleep. At awakening, none of the subjects could recall any mental conscious content since sleep onset. From this dataset, we extracted for each subject two subsets of consecutive volumes recorded, respectively, during wakefulness and NREM sleep. Six spatially independent patterns, which we refer to as networks (Fig. 1A), were identified at the group level on wakefulness data, using a data-driven method (independent component analysis). These networks [visual (VIS), motor (MOT), default mode (DM), dorsal attentional (dATT), executive control (EC), and salience (SAL)] were previously identified in many studies investigating resting-state fMRI correlations in the literature (810). Network composition was very similar in data obtained during NREM sleep compared with wakefulness, in terms of within-networks areas distribution and Euclidian distance between networks (SI Results and Fig. S1). The six networks consistently identified during wakefulness were used only to select regions of interest (ROIs) for further analyses. In total, 77 ROIs were selected around the local maxima of these networks (Table S1). To quantify the amount of functional interactions within and between these networks across vigilance states, we computed a hierarchical measure of integration between brain regions during both NREM sleep and wakefulness. First, an average ROI activity time course was extracted and an averaged correlation matrix was computed for each network on NREM sleep data. On the basis of the resulting similarity tree, each network was further parsed in anatomically and physiologically meaningful assemblies of bilateral homologous areas (Fig. S2). We then considered brain connectivity at three nested levels: brain, networks, and assemblies of areas (Fig. 1B). The brain was divided into six networks and each network into three to seven assemblies of two to five areas. Finally, we probed the hierarchical structure of brain integration by computing integration at whole-brain and network levels and derived their respective functional clustering ratio (FCR), the proportion of interactions within each subsystem, relative to between them. Differences in FCR between wakefulness and NREM were tested in a Bayesian framework and inferences were conducted at a probability of difference >0.95.

Fig. 1.

Fig. 1.

(A) The six networks extracted during wakefulness. (B) Levels of brain hierarchical integration. (C) Increases in functional clustering ratio in the brain and the six networks (all significant with a probability >0.95). Networks: dATT, dorsal attentional; DM, default mode; EC, executive control; MOT, sensorimotor; SAL, salience; VIS, visual.

Results

Compared with wakefulness, NREM sleep was characterized by a diffuse increase in FCR values, both at the whole-brain level and in each and every brain network (Fig. 1C and Table 1). Rather than the mere breakdown of functional connectivity (11), this result reveals a profound modification of the hierarchical organization of functional integration. Total brain integration increased during NREM sleep relative to wakefulness (Table 2) due to an increase in both within- and between-network integration. Within each network, a fairly consistent change consisted of an increase in within-assembly integration (Iws), observed in all networks except the MOT network (Table 3). In contrast, during NREM sleep, the integration between assemblies (Ibs) increased (VIS and ATT), remained stable (EC), or decreased (MOT, DM, and SAL; Table 4). However, in all networks, the change in within-assembly integration was proportionally larger than that in between-assembly integration, resulting in a consistent increase in FCR. Complementary analyses revealed that this (fixed-effects) group result of an increase in FCR during NREM sleep compared with wakefulness was reproducible across individuals, both at the brain level and for each network (Table S2). Additional results obtained using graph theory tools also confirmed that brain activity modularity was increased in NREM sleep compared with wakefulness (Fig. 2). These findings indicate that over and above changes in individual network integration or in total brain integration, an essential difference in brain function between wakefulness and NREM sleep consists of increased functional clustering of brain activity into assemblies of homologous areas.

Table 1.

Functional clustering ratios (FCR) computed within whole brain and within each network during wakefulness and NREM sleep

Wakefulness
NREM sleep–wakefulness
Sleep
FCR = Iws/Ibs Mean SD Variations prob > 0.95 Mean SD
Brain level vs. networks
 Brain 1.50 0.03 (+) 1.70 0.03
System level vs. assemblies
 MOT 4.72 0.30 (+) 5.95 0.37
 VIS 2.92 0.27 (+) 6.24 0.37
 DM 0.93 0.06 (+) 1.24 0.06
 dATT 1.35 0.12 (+) 1.93 0.09
 EC 0.54 0.04 (+) 1.03 0.05
 SAL 1.37 0.07 (+) 3.57 0.18

The central column in Tables 1 and 2 indicates the variations with a probability >0.95.

Table 2.

Total brain integration computed within whole brain and within each network during wakefulness and NREM sleep

Wakefulness
NREM sleep–wakefulness
Sleep
Itot Mean SD Variations prob > 0.95 Mean SD
Brain level vs. networks
 Brain 5.45 0.08 (+) 6.37 0.07
System level vs. assemblies
 MOT 0.83 0.02 (−) 0.76 0.02
 VIS 0.32 0.02 (+) 0.74 0.02
 DM 0.56 0.02 (=) 0.57 0.02
 dATT 0.32 0.02 (+) 0.63 0.02
 EC 0.40 0.02 (+) 0.55 0.02
 SAL 0.84 0.03 (−) 0.73 0.02

Table 3.

Within-subsystems integration values computed for whole brain and for each network during wakefulness and NREM sleep

Wakefulness
NREM sleep–wakefulness
Sleep
Iws Mean SD Variations prob > 0.95 Mean SD
Brain level vs. networks
 Brain 3.27 0.06 (+) 3.98 0.05
System level vs. assemblies
 MOT 0.69 0.02 (=) 0.66 0.02
 VIS 0.24 0.01 (+) 0.64 0.02
 DM 0.27 0.01 (+) 0.31 0.01
 dATT 0.18 0.01 (+) 0.42 0.01
 EC 0.14 0.01 (+) 0.28 0.01
 SAL 0.49 0.02 (+) 0.57 0.02

Table 4.

Between-subsystems integration values computed at the whole brain level (between networks) and within each network (between assemblies) during wakefulness and NREM sleep

Wakefulness
NREM sleep–wakefulness
Sleep
Ibs Mean SD Variations prob > 0.95 Mean SD
Brain level vs. networks
 Brain 2.18 0.04 (+) 2.39 0.03
System level vs. assemblies
 MOT 0.15 0.01 (−) 0.11 0.01
 VIS 0.08 0.01 (+) 0.10 0.01
 DM 0.29 0.01 (−) 0.25 0.01
 dATT 0.14 0.01 (+) 0.22 0.01
 EC 0.25 0.01 (=) 0.27 0.01
 SAL 0.36 0.02 (−) 0.16 0.01

Fig. 2.

Fig. 2.

Brain connectivity modularity indexes (group mean result ± SDs) during wakefulness and during NREM sleep. The modularity index, calculated by using the Louvain algorithm, quantifies the degree to which a system may be subdivided into clearly delineated clusters.

Within each network, we then quantified how much information was exchanged between each node and the rest of the network. We observed a moderate reordering of the importance of the nodes in each network (Fig. 3). Although many areas changed their within-network rank from wakefulness to NREM sleep, the hierarchical organization of the networks was relatively preserved with the transition between states.

Fig. 3.

Fig. 3.

Within-network key node density maps (quantifying the integration between each ROI and the rest of the network) during wakefulness and NREM sleep. The values were sorted for the two conditions to allow one to compare the relative importance of different nodes in each network. Values are displayed on a scatter plot to allow comparison between wakefulness and NREM sleep. The lengths of ellipsoid axes correspond to condition-specific group results SDs. Color codes correspond to the areas for which the rank in the hierarchy is the same (black), higher (blue), or lower (red) during NREM sleep compared with wakefulness. Please refer to Table S1 for ROI coordinates and name abbreviations.

Because the slow oscillation is a fundamental rhythm of NREM sleep potentially associated with a breakdown in cerebral connectivity (11), slow-wave activity (SWA) was regressed to integration measures. Total brain integration was negatively correlated to SWA during NREM sleep (Tables 4 and 5 and Fig. S3). However, there was no significant relation between FCR and SWA (Table 6).

Table 5.

Correlation coefficient R between total Integration (I) and slow-wave activity during NREM sleep for brain and the six networks

Itot vs. SWA R P value (two-tailed)
Brain level vs. networks
 Brain −0.42 0.0037*
Network level vs. assemblies
 MOT −0.25 0.0938
 VIS −0.07 0.6439
 DM −0.32 0.0301*
 dATT −0.43 0.0029*
 EC −0.36 0.0140*
 SAL −0.43 0.0029*

*Significant correlation with a P value <0.05.

Table 6.

Correlation coefficient R between functional clustering ratios (FCR) for brain and the six networks

FCR vs. SWA R P value (two-tailed)
Brain level vs. networks
 Brain −0.11 0.4668
Network level vs. assemblies
 MOT 0.00 0.9879
 VIS 0.15 0.3197
 DM −0.02 0.8950
 dATT −0.15 0.3197
 EC −0.06 0.6920
 SAL 0.00 0.9968

Discussion

Content of Consciousness During NREM Sleep.

The current work is based on the theoretical prediction that consciousness is related to the ability of the brain to integrate information. This ability is related to the mathematical construct of complexity, which we approached by computing the functional clustering ratio. To test this hypothesis, we contrasted two polygraphically identified states of vigilance that substantially differ in mental content, namely resting wakefulness and NREM sleep. The reduction of mental content during NREM sleep was confirmed during debriefing after awakening and we are confident that the mental content differed between wakefulness and sleep in our volunteers. Importantly, we do not claim that NREM sleep is associated with a total obliteration of conscious mental representations. The brain remains responsive to external stimuli during NREM sleep (12, 13) and dreams have been reported after NREM sleep awakenings (14). However, the aim of the current paper was not to characterize the neural correlates of these mental representations but rather to contrast brain function during normal wakefulness to that observed during a state of impoverished conscious content such as NREM sleep.

Neurobiological Interpretation of Total-, Within-, and Between-System Integration and Functional Clustering Ratio.

Total integration assesses the sum of information (in the Shannon sense) exchanged between the main functional brain networks and within each of them. Our results show that total integration is larger during NREM sleep than during resting wakefulness. This is an unexpected result. Indeed, although previous studies investigating resting-state fMRI connectivity during states of altered consciousness produced conflicting results (3, 4), they previously mainly revealed a decrease in connectivity. The present results also contrast with previous findings of a globally decreased brain connectivity that has been reported in other altered states of consciousness such as in coma (15) or during anesthesia (ref. 16, in a study performed using the same brain integration quantification technique).

The central point of this paper is to show that beyond these changes in total brain integration, functional interactions are hierarchically modified throughout the brain during NREM sleep, relative to wakefulness. The increase in total brain integration results from a combined increase in both within- and between-network integration. In turn, such changes in integration within each network are due to modifications of the integration both within and between their constituent systems (i.e., their assemblies). In all networks during NREM sleep, the within-system integration becomes proportionally larger than between-system integration, resulting in a consistent increase in FCR. Increased functional clustering of brain activity in small independent modules appears as a general phenomenon and reflects deep, hierarchical modifications in information flow during NREM sleep.

Theoretical considerations predict that increased clustering of brain activity should be associated with a decreased ability to integrate information (6). Information integration should decrease for modular compared with more homogeneously interconnected systems because integrated information is predicted to be maximal for systems that are both highly connected and not decomposable in individual subsystems. Integrated information indeed refers to the information generated by the causal interactions in a whole system, over and above the information generated by the parts (17). Increased functional modularity potentially results in a decrease in information integration at the systemic level (2) and, according to the tested hypothesis, this result could then account for the decrease in consciousness during NREM sleep, despite preserved total information processing in the brain. According to this theory, the ability of a system to integrate information appears to be a function not only of the total amount of connectivity in the system, but also of the complexity of the interactions leading to the observed dynamics (5). Functional clustering has been proposed as one empirically tractable measure for the complexity of brain integration, which is supposed to characterize conscious processes (5). Our measure of brain activity functional clustering, defined by the ratio of between- and within-subsystems integration, quantifies the degree of functional segregation of a given system into subsystems. An increase of functional clustering ratio means that the architecture of the system is modified toward a greater proportion of exchanges within subsystems, rather than at the system level—i.e., that the subsystems (networks or assemblies in each network) become more independent from one another. The fact that we observe this phenomenon both at the brain and at the networks level suggests a pervasive presence of this phenomenon during NREM sleep. Additional analyses using classical graph partitioning tools confirmed our result of an increase in brain modularity during NREM sleep compared with wakefulness (Fig. 2). However, to be reliable, such graph theoretical tools have to be applied on a relatively large number of regions. We thus could not apply this same technique to fine network substructure characterization as provided by the use of FCR.

Altogether, these findings are in line with a recent modeling work, showing that reaching high information integration values in a given system requires a subtle balance between functional specialization and integration between the elements constituting the system (6). Following this model, increased clustering of brain activity would result in a decrease in the information integration ability of the system, despite preserved total information processing in the brain. Theoretical predictions indeed state that not only the richness of connectivity, but also its spatial organization matter and that a system that is strongly modular is unlikely to generate high levels of integrated information (6) that has been related to the level of consciousness (2). In this view, investigating general properties of the system, like its modularity, is more relevant to the assessment of the ability of a system to integrate information than merely assessing the amount of information present within this system.

Changes in the Relative Importance of Key Nodes Within Networks.

In addition to an increased clustering of brain activity, NREM sleep was also associated to a reordering of brain areas in each network—typically placing the network node presenting the highest number of connections during wakefulness at a lowest rank of the hierarchy of areas participating in within-network integration. This result is in line with the proposed role of key integration nodes for normal consciousness (18). However, this modification was not present in all networks (e.g., VIS or DM), and the hierarchical architecture of the networks seemed relatively preserved in NREM sleep compared with wakefulness. Nevertheless, it is possible that these qualitative modifications of within-networks interactions could be another contributing mechanism to altered consciousness during NREM sleep.

Brain Integration, Slow Oscillation, and Influence of Other Unidentified Factors.

Changes in brain integration during NREM sleep seem to result from two antagonistic influences. On the one hand, integration decreases in proportion to SWA. This result is consistent with a breakdown of brain connectivity resulting from the bistable neural response associated with the slow oscillation, the fundamental NREM sleep rhythm (11). However, this slow oscillation, as assessed by SWA, does not account for the global increase in total brain integration or for the pervasive increase in functional clustering. With deepening of sleep, a decrease of total brain connectivity could be an additive mechanism to functional clustering, leading to a decrease in the brain's ability to generate conscious perception. Indeed, theoretically, if not only the system becomes more modular, but also the total connectivity of the system further diminishes, information integration is likely to decrease even more at the system level (6).

The processes underlying the increase in total brain integration and functional clustering remain unidentified. NREM sleep is associated with considerable changes in aminergic and peptidergic neuromodulation (19). Although a change in neuromodulation is a plausible hypothesis, its impact on regional cortical function remains unknown. An alternative hypothesis would assume that total brain integration and functional clustering result from changes in infra-slow oscillations. This hypothesis is supported by a number of experimental data. Infra-slow oscillations (<0.1 Hz) are known to modulate cortical activity in animals (20, 21) as well as human behavior (22) and human brain activity during both wakefulness (23) and sleep (24). Moreover, infra-slow oscillations of neural activity are also consistent with spontaneous fluctuations of fMRI blood oxygen level dependent signal during resting state in animals (21) and similar oscillations are observed in human fMRI recordings (25). Critically, the infra-slow oscillations, as measured in humans by magneto-encephalography, are noticeably stronger during sleep than during resting wakefulness and tend to synchronize over a long spatial distance, especially between bilaterally homologous regions in opposite hemispheres (26). These functional features are remarkably consistent with our fMRI findings: an enhanced integration between homologous brain areas during NREM sleep, relative to wakefulness. From a functional standpoint, infra-slow oscillations are thought to coordinate thalamo-cortical processing in distant brain regions (21), thereby promoting functional integration. The mechanisms of infra-slow oscillations are not yet identified but seem to be related to modulation of cortical activity by brainstem nuclei (27), as well as to network properties of thalamic neurons possibly driven by nonneural mechanisms (28).

In conclusion, we speculate that part of our results can be explained by the modulation of brain function by infra-slow oscillations during NREM sleep. The hierarchical modifications in the organization of brain integration, reflected as an increased functional clustering, support the hypothesis that the altered conscious content during NREM sleep is related to a decrease in the ability of the brain to integrate information.

Materials and Methods

Population and Experimental Design.

Young healthy participants (n = 25; 11 females; age range, 18–25 y; mean age, 21.96 y) were recruited by advertisement. From this group, 13 participants maintained periods of steady NREM sleep, and thus the data of these subjects were used in this study. None were on medication or sleep deprived (SI Materials and Methods and SI Results). After the experimental session, volunteers were asked to report the occurrence of relevant thoughts, mentation, or dreams that they might have had during scanning.

EEG Acquisition and Analysis.

EEG was recorded using two MR-compatible 32-channel amplifiers and an MR-compatible EEG cap with 64 ring-type electrodes (SI Materials and Methods). Sleep staging of scanning artifacts-corrected EEG (SI Materials and Methods) followed standard criteria and identified periods of stages 2–4 NREM sleep, free of any artifact, during which the EEG and fMRI data were analyzed. EEGs were subjected to spectral analysis on a frontal electrode (Fz), using a Fast Fourier Transform (4-s window, 2-s steps, Hanning window), resulting in a 0.25-Hz spectral resolution. SWA activity corresponded to the power within the 0.5- to 4-Hz band. Relative power was obtained by normalizing absolute power to total power. Sleep parameters are summarized in Table S3.

fMRI Data Acquisition and Analysis.

Functional MRI time series were acquired using a 3-Tesla MR scanner (Allegra; Siemens). Multislice T2*-weighted fMRI images and a structural T1-weighted 3D Magnetization Prepared RApid Gradient Echo (MP-RAGE) sequence were acquired from all subjects. From this dataset, we extracted consecutive volumes recorded during wakefulness and NREM sleep. To do so, we chose the longest series during the two conditions for each subject (limited to a maximum of 300 vol for computational reasons). One hundred fifty-six to 300 vol were selected for wakefulness series (total of 33 runs) and 132–300 vol for NREM sleep series (total of 46 runs).

Network and assembly identification.

Overview.

Using all datasets acquired during wakefulness for all subjects, functional networks whose spatial structure was reproducible across subjects were identified using the NEDICA method (29) freely available in NetBrainWork (http://www.imed.jussieu.fr/fr/equipes/e1/netbrainwork/netbrainwork.php) (SI Materials and Methods). The latter comprised six functional networks representing an incomplete partition of the whole brain (VIS, MOT, DM, dATT, EC, and SAL networks; cf. refs. 810). We defined the ROIs from the peaks of the t-maps of the functional networks.

Before extracting BOLD signal within ROIs, structured noise (related to, e.g., respiration, heartbeat, and movements) was reduced with CORSICA (30) (SI Materials and Methods). Complementary analyses were performed to rule out that differences in within-session movement amplitude could explain our results (SI Results, Fig. S4, and Tables S4S7).

Networks parcellation into assemblies.

After preprocessing and removal of structured noise, all functional datasets were registered into the MNI standardized space. The spatial average BOLD signals within each ROI were then extracted for all subjects and for the two conditions (wakefulness and NREM sleep). The averaged correlation matrix was computed for each network during NREM sleep and thresholded at P < 0.05. The thresholded correlation structure was computed for each network during NREM sleep and their structure was assessed by a hierarchical clustering that maximized intraclass similarity, defined as sqrt(1 − r), where r was the correlation between two regions. By thresholding the similarity trees, the networks were divided into assemblies of areas. The results presented in the main text are based on a qualitative neuroanatomy-based threshold (Fig. S2, SI Materials and Methods). Similar results were obtained using another data-driven partition of the networks, thresholding the similarity trees at the level of the highest increase of intracluster distance (Fig. S5 and Table S8). Results were not modified by using several alternative approaches a sub-systems organization defined from NREM sleep data (Table S10) or by using wakefulness sub-systems organization in the hierarchical clustering (Table S11).

Functional clustering ratio.

To quantify functional interactions within and between networks during the two conditions we used total correlation (31), a measure also known as integration in neurocomputing (32) and fMRI data analysis (33) (SI Materials and Methods).

We defined the FCR as the ratio between the integration within subsystems (Iws), compared with the integration present between these subsystems (Ibs). It is a measure of clustering inside a given system because an increase in FCR indicates that subsystems become functionally more independent of each other. In other words, it quantifies the degree of functional segregation of a given system into subsystems:

graphic file with name pnas.1111133109eq1.jpg

Bayesian estimation and comparison between conditions.

Probable values of integration and FCR were inferred from the data using a fixed-effects group approach (33) and a Bayesian group analysis with numerical sampling scheme (1,000 samples per estimate) (34) for these analyses (SI Materials and Methods). During the sampling procedure to estimate the group covariance matrix for each group (wakefulness and NREM sleep), a covariance matrix is estimated for each individual. Thus, similarly to the group analysis, we compared the resulting 1,000 estimates of FCR at the individual level between wakefulness and NREM sleep, at the brain level, and for each network. As for group analyses, a probability of difference >0.95 was considered significant.

Brain modularity computation during wakefulness and NREM sleep.

From the group correlation matrices computed during wakefulness and NREM sleep, we defined a weighted graph where the weights between nodes i and j were (1 − rij)/(1 + rij). The modularity index, which quantifies the degree to which a system may be subdivided in clearly delineated clusters, was calculated using the Louvain algorithm (35) provided in the Brain Connectivity Toolbox (http://www.brain-connectivity-toolbox.net) (36).

Node density maps in wakefulness and NREM sleep datasets.

Within each network, we computed the integration between each ROI and the rest of the network (i.e., the other ROIs of the same network) during wakefulness and NREM sleep. These values were sorted for the two conditions to allow one to compare the relative importance of each node in the network. Fig. 3 displays integration values and SD for each node of each network, hierarchically ordered in wakefulness and NREM sleep. Ellipsoids correspond to SDs of integration value, conjointly displayed for each area for wakefulness and NREM sleep datasets.

SWA and functional integration.

SWA was evaluated for each NREM run as the EEG spectral power within the (0.5–4 Hz) frequency band relative to the total spectral power. This measure was regressed to the interaction measures of interest (I, Iws, Ibs, and FCR) computed in the corresponding fMRI sessions. Correlation was considered significant at P < 0.05.

Supplementary Material

Supporting Information

Acknowledgments

This research was supported by the Belgian Fonds National de la Recherche Scientifique, Fondation Médicale Reine Elisabeth, and Research Fund of the University of Liège. M.B., S.L., and P.M. are supported by the Fonds National de la Recherche Scientifique. J.D. is also supported by European Sleep Research Grant 2008 of the European Sleep Research Society. M.S. was supported by an Erwin Schrödinger fellowship of the Austrian Science Fund (J2470-B02).

Footnotes

The authors declare no conflict of interest.

This article is a PNAS Direct Submission.

This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1111133109/-/DCSupplemental.

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