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<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.1d1 20130915//EN" "JATS-archivearticle1.dtd"><article article-type="research-article" dtd-version="1.1d1" xmlns:xlink="http://www.w3.org/1999/xlink"><front><journal-meta><journal-id journal-id-type="nlm-ta">elife</journal-id><journal-id journal-id-type="hwp">eLife</journal-id><journal-id journal-id-type="publisher-id">eLife</journal-id><journal-title-group><journal-title>eLife</journal-title></journal-title-group><issn publication-format="electronic">2050-084X</issn><publisher><publisher-name>eLife Sciences Publications, Ltd</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">02812</article-id><article-id pub-id-type="doi">10.7554/eLife.02812</article-id><article-categories><subj-group subj-group-type="display-channel"><subject>Research article</subject></subj-group><subj-group subj-group-type="heading"><subject>Neuroscience</subject></subj-group></article-categories><title-group><article-title>Resting state functional connectivity in the human spinal cord</article-title></title-group><contrib-group><contrib contrib-type="author" corresp="yes" id="author-10515"><name><surname>Barry</surname><given-names>Robert L</given-names></name><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/><xref ref-type="corresp" rid="cor1">*</xref><xref ref-type="other" rid="par-1"/><xref ref-type="other" rid="par-4"/><xref ref-type="other" rid="par-5"/><xref ref-type="other" rid="par-6"/><xref ref-type="fn" rid="con1"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-10723"><name><surname>Smith</surname><given-names>Seth A</given-names></name><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/><xref ref-type="aff" rid="aff3"/><xref ref-type="other" rid="par-3"/><xref ref-type="fn" rid="con2"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-10724"><name><surname>Dula</surname><given-names>Adrienne N</given-names></name><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/><xref ref-type="other" rid="par-5"/><xref ref-type="other" rid="par-6"/><xref ref-type="fn" rid="con3"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-10725"><name><surname>Gore</surname><given-names>John C</given-names></name><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/><xref ref-type="aff" rid="aff3"/><xref ref-type="other" rid="par-1"/><xref ref-type="other" rid="par-2"/><xref ref-type="other" rid="par-7"/><xref ref-type="fn" rid="con4"/><xref ref-type="fn" rid="conf1"/></contrib><aff id="aff1"><institution>Vanderbilt University Institute of Imaging Science</institution>, <addr-line><named-content content-type="city">Nashville</named-content></addr-line>, <country>United States</country></aff><aff id="aff2"><institution content-type="dept">Department of Radiology and Radiological Sciences</institution>, <institution>Vanderbilt University Medical Center</institution>, <addr-line><named-content content-type="city">Nashville</named-content></addr-line>, <country>United States</country></aff><aff id="aff3"><institution content-type="dept">Department of Biomedical Engineering</institution>, <institution>Vanderbilt University</institution>, <addr-line><named-content content-type="city">Nashville</named-content></addr-line>, <country>United States</country></aff></contrib-group><contrib-group content-type="section"><contrib contrib-type="editor"><name><surname>Behrens</surname><given-names>Timothy</given-names></name><role>Reviewing editor</role><aff><institution>Oxford University</institution>, <country>United Kingdom</country></aff></contrib></contrib-group><author-notes><corresp id="cor1"><label>*</label>For correspondence: <email>robert.l.barry@vanderbilt.edu</email></corresp></author-notes><pub-date date-type="pub" publication-format="electronic"><day>05</day><month>08</month><year>2014</year></pub-date><pub-date pub-type="collection"><year>2014</year></pub-date><volume>3</volume><elocation-id>e02812</elocation-id><history><date date-type="received"><day>21</day><month>03</month><year>2014</year></date><date date-type="accepted"><day>25</day><month>06</month><year>2014</year></date></history><permissions><copyright-statement>© 2014, Barry et al</copyright-statement><copyright-year>2014</copyright-year><copyright-holder>Barry et al</copyright-holder><license xlink:href="http://creativecommons.org/licenses/by/4.0/"><license-p>This article is distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use and redistribution provided that the original author and source are credited.</license-p></license></permissions><self-uri content-type="pdf" xlink:href="elife02812.pdf"/><abstract><object-id pub-id-type="doi">10.7554/eLife.02812.001</object-id><p>Functional magnetic resonance imaging using blood oxygenation level dependent (BOLD) contrast is well established as one of the most powerful methods for mapping human brain function. Numerous studies have measured how low-frequency BOLD signal fluctuations from the brain are correlated between voxels in a resting state, and have exploited these signals to infer functional connectivity within specific neural circuits. However, to date there have been no previous substantiated reports of resting state correlations in the spinal cord. In a cohort of healthy volunteers, we observed robust functional connectivity between left and right ventral (motor) horns, and between left and right dorsal (sensory) horns. Our results demonstrate that low-frequency BOLD fluctuations are inherent in the spinal cord as well as the brain, and by analogy to cortical circuits, we hypothesize that these correlations may offer insight into the execution and maintenance of sensory and motor functions both locally and within the cerebrum.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.001">http://dx.doi.org/10.7554/eLife.02812.001</ext-link></p></abstract><abstract abstract-type="executive-summary"><object-id pub-id-type="doi">10.7554/eLife.02812.002</object-id><title>eLife digest</title><p>Brain imaging methods such as functional magnetic resonance imaging (fMRI) can provide us with a picture of what the brain is doing when a person is carrying out a specific task. For example, an fMRI scan recorded whilst someone is reading is likely to show activity in regions in the left hemisphere of the brain that are known to be involved in language comprehension. fMRI can also be used to measure patterns of neuronal activity when someone is awake but not engaged in a specific task. This approach, known as resting state fMRI, can be used to examine which regions of the resting brain are active at the same time. Researchers are interested in these patterns of brain activity because they reflect neural circuits that work together to produce different functions and behaviors.</p><p>Over 4000 papers have used resting state fMRI to study the human brain. However, to date there has been no conclusive investigation of resting state activity in the spinal cord. This is largely because the spinal cord is much smaller than the brain, and most fMRI scanners are not sensitive enough to study it in detail. Consequently, little is known about intrinsic neural circuits in the resting spinal cord.</p><p>Now Barry et al. have used advances in fMRI technology to show that resting state functional connectivity does indeed exist in the spinal cord. Correlations were found in the resting levels of activity between spatially distinct areas of the cord, specifically between the ventral horns and between the dorsal horns. The ventral horns relay motor signals to the body, whilst the dorsal horns receive sensory signals from the body.</p><p>These findings also have clinical applications. Some patients with incomplete spinal cord injuries can recover near normal function, but the mechanisms responsible for this recovery are unclear because clinicians have not been able to probe neuronal connections in the spinal cord in a non-invasive manner. The work of Barry et al. should help with efforts to understand the neuronal changes that support recovery from spinal cord injury.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.002">http://dx.doi.org/10.7554/eLife.02812.002</ext-link></p></abstract><kwd-group kwd-group-type="author-keywords"><title>Author keywords</title><kwd>fMRI</kwd><kwd>spinal cord</kwd><kwd>7 Tesla</kwd><kwd>resting state</kwd><kwd>functional connectivity</kwd></kwd-group><kwd-group kwd-group-type="research-organism"><title>Research organism</title><kwd>human</kwd></kwd-group><funding-group><award-group id="par-1"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000002</institution-id><institution>National Institutes of Health</institution></institution-wrap></funding-source><award-id>1R21NS081437-01A1</award-id><principal-award-recipient><name><surname>Barry</surname><given-names>Robert L</given-names></name><name><surname>Gore</surname><given-names>John C</given-names></name></principal-award-recipient></award-group><award-group id="par-2"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000002</institution-id><institution>National Institutes of Health</institution></institution-wrap></funding-source><award-id>5R01EB000461</award-id><principal-award-recipient><name><surname>Gore</surname><given-names>John C</given-names></name></principal-award-recipient></award-group><award-group id="par-3"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000002</institution-id><institution>National Institutes of Health</institution></institution-wrap></funding-source><award-id>5K01EB009120</award-id><principal-award-recipient><name><surname>Smith</surname><given-names>Seth A</given-names></name></principal-award-recipient></award-group><award-group id="par-4"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000002</institution-id><institution>National Institutes of Health</institution></institution-wrap></funding-source><award-id>1K99EB016689-01A1</award-id><principal-award-recipient><name><surname>Barry</surname><given-names>Robert L</given-names></name></principal-award-recipient></award-group><award-group id="par-5"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000002</institution-id><institution>National Institutes of Health</institution></institution-wrap></funding-source><award-id>UL1RR024975-01</award-id><principal-award-recipient><name><surname>Barry</surname><given-names>Robert L</given-names></name><name><surname>Dula</surname><given-names>Adrienne N</given-names></name></principal-award-recipient></award-group><award-group id="par-6"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000002</institution-id><institution>National Institutes of Health</institution></institution-wrap></funding-source><award-id>2UL1TR000445-06</award-id><principal-award-recipient><name><surname>Barry</surname><given-names>Robert L</given-names></name><name><surname>Dula</surname><given-names>Adrienne N</given-names></name></principal-award-recipient></award-group><award-group id="par-7"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000002</institution-id><institution>National Institutes of Health</institution></institution-wrap></funding-source><award-id>S10RR023047</award-id><principal-award-recipient><name><surname>Gore</surname><given-names>John C</given-names></name></principal-award-recipient></award-group><funding-statement>The funders had no role in study design, data collection and interpretation, or the decision to submit the work for publication.</funding-statement></funding-group><custom-meta-group><custom-meta><meta-name>elife-xml-version</meta-name><meta-value>2</meta-value></custom-meta><custom-meta specific-use="meta-only"><meta-name>Author impact statement</meta-name><meta-value>Resting state spinal fMRI will be useful in studies of normal spinal cord function and central nervous system disorders.</meta-value></custom-meta></custom-meta-group></article-meta></front><body><sec id="s1" sec-type="intro"><title>Introduction</title><p>Since the early 1990s, thousands of functional magnetic resonance imaging (fMRI) studies have offered new insights into the functional architecture of the brain and have significantly increased our understanding of normal and aberrant brain functions. The earliest papers investigated task-based fMRI, where evoked BOLD signal changes were interpreted as hemodynamic responses subsequent to neural activity (<xref ref-type="bibr" rid="bib42">Ogawa et al., 1990</xref>; <xref ref-type="bibr" rid="bib8">Bandettini et al., 1992</xref>; <xref ref-type="bibr" rid="bib37">Kwong et al., 1992</xref>; <xref ref-type="bibr" rid="bib43">Ogawa et al., 1992</xref>) and were used to infer which brain regions were activated for a specific task. The range and impact of fMRI methods were expanded in 1995 when Biswal et al. established the existence of correlations between low-frequency (&lt; 0.08 Hz) BOLD signals from spatially distinct locations when no task was performed (<xref ref-type="bibr" rid="bib13">Biswal et al., 1995</xref>), and over 4000 subsequent papers have documented different aspects of resting state fMRI. Importantly, these correlations have been widely adopted to infer functional connectivity between cortical regions (<xref ref-type="bibr" rid="bib33">Greicius et al., 2003</xref>; <xref ref-type="bibr" rid="bib27">Fox et al., 2005</xref>; <xref ref-type="bibr" rid="bib49">Smith, 2012</xref>). The identification of patterns of highly correlated low-frequency signals in the resting brain provides a powerful approach to delineate and describe neural circuits, and an unprecedented insight into the manner in which distributed regions work together to achieve specific functions (<xref ref-type="bibr" rid="bib44">Pizoli et al., 2011</xref>). In this study, we present the first robust demonstrations that similar phenomena can be detected within the gray matter of the human spinal cord, and we report our preliminary attempts to perform resting state connectivity studies within the cords of normal volunteers.</p><p>Although the vast majority of fMRI studies have explored function in the cerebrum, there have been a few investigations of function in the human brainstem and spinal cord. fMRI in the spinal cord was first performed (<xref ref-type="bibr" rid="bib61">Yoshizawa et al., 1996</xref>) in 1996, and task-based (motor and/or sensory) spinal fMRI has since been demonstrated by a handful of groups worldwide (<xref ref-type="bibr" rid="bib51">Stroman et al., 1999</xref>; <xref ref-type="bibr" rid="bib7">Backes et al., 2001</xref>; <xref ref-type="bibr" rid="bib38">Madi et al., 2001</xref>; <xref ref-type="bibr" rid="bib29">Giove et al., 2004</xref>; <xref ref-type="bibr" rid="bib41">Moffitt et al., 2005</xref>; <xref ref-type="bibr" rid="bib39">Maieron et al., 2007</xref>; <xref ref-type="bibr" rid="bib30">Giulietti et al., 2008</xref>; <xref ref-type="bibr" rid="bib3">Agosta et al., 2009a</xref>; <xref ref-type="bibr" rid="bib19">Cohen-Adad et al., 2010</xref>; <xref ref-type="bibr" rid="bib54">Summers et al., 2010</xref>; <xref ref-type="bibr" rid="bib15">Brooks et al., 2012</xref>; <xref ref-type="bibr" rid="bib50">Sprenger et al., 2012</xref>). Spinal cord fMRI has primarily been used to study motor and sensory/pain pathways in the healthy spinal cord, but has also been shown to be sensitive to changes in patients with spinal cord injury (<xref ref-type="bibr" rid="bib52">Stroman et al., 2002</xref>, <xref ref-type="bibr" rid="bib53">2004</xref>; <xref ref-type="bibr" rid="bib36">Kornelsen and Stroman, 2007</xref>) and multiple sclerosis (<xref ref-type="bibr" rid="bib1">Agosta et al., 2008a</xref>, <xref ref-type="bibr" rid="bib2">2008b</xref>, <xref ref-type="bibr" rid="bib4">2009b</xref>; <xref ref-type="bibr" rid="bib55">Valsasina et al., 2010</xref>, <xref ref-type="bibr" rid="bib56">2012</xref>). Importantly, these spinal fMRI studies were focused on understanding spinal cord function when performing tasks, and to date only one paper has reported an investigation of resting state BOLD fluctuations in the human spinal cord, from which the results were equivocal (<xref ref-type="bibr" rid="bib59">Wei et al., 2010</xref>). Partly, the lack of positive reports may reflect the relatively poor signal-to-noise ratio of spinal cord images achievable at conventional field strengths (1.5 Tesla and 3.0 Tesla) and the inherent limitations of low spatial resolution in studying small structures. The advent of ultra-high magnetic fields (7 Tesla and above) and implementation of appropriate multichannel spinal cord coils, along with improved image acquisition and correction protocols, provides new opportunities for high-resolution fMRI of the spinal cord with increased sensitivity to BOLD fluctuations in the small gray matter structures that are typically not well visualized at lower fields.</p><p>The spinal cord is essentially a long, cylindrical neural structure responsible for relaying motor and sensory information between the brain and body, it sits within a bath of cerebrospinal fluid (CSF), and is surrounded by large vertebral bodies and intervertebral discs (<xref ref-type="fig" rid="fig1">Figure 1A</xref>). A butterfly-shaped gray matter structure surrounded by densely packed white matter is found within the cord (<xref ref-type="fig" rid="fig1">Figure 1B</xref>). The gray matter is anatomically described by ventral (anterior), lateral, and dorsal (posterior) horns, though the lateral and ventral horns in thoracic and lumbar segments are often summarized as anterior (ventrolateral) gray matter. The dorsal horn contains neurons that receive sensory information from the extremities while upper motor neurons synapse onto lower motor neurons in the ventral horn, which relay information to the extremities (<xref ref-type="bibr" rid="bib35">Kandel et al., 2000</xref>).<fig id="fig1" position="float"><object-id pub-id-type="doi">10.7554/eLife.02812.003</object-id><label>Figure 1.</label><caption><title>Resting state spinal cord fMRI at 7 Tesla.</title><p>(<bold>A</bold>) Mid-sagittal slice from a healthy volunteer showing the complete cervical cord and typical axial slice placement for this resting state study. In all subjects the imaging stack was centered on the C3/C4 junction, providing full coverage of C3 and C4 and partial coverage of C2 and C5. (<bold>B</bold>) T<sub>2</sub><sup>*</sup>-weighted anatomical image at C4 acquired with 0.6 × 0.6 × 4 mm<sup>3</sup> voxels and interpolated to 0.31 × 0.31 × 4 mm<sup>3</sup>. Excellent contrast permits visualization of the characteristic butterfly-shaped gray matter column. (<bold>C</bold>) A single T<sub>2</sub><sup>*</sup>-weighted functional image of this axial slice (acquired with 0.91 × 0.91 × 4 mm<sup>3</sup> voxels). Functional images are high quality with minimal geometric distortions and T<sub>2</sub><sup>*</sup> blurring and permit adequate spatial delineation between white matter and cerebrospinal fluid.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.003">http://dx.doi.org/10.7554/eLife.02812.003</ext-link></p></caption><graphic xlink:href="elife02812f001"/></fig></p><p>The relatively small number of spinal fMRI studies to date and lack of well-developed investigative tools make it difficult to formulate clear hypotheses of what low-frequency (&lt; 0.08 Hz) BOLD signal correlations may be expected between sub-regions of spinal cord gray matter in a resting state. However, the formulation of such hypotheses may, in part, be guided by known anatomical connections or spinal cord function. For example, the likely existence of central pattern generators in the human spinal cord that subserve basic locomotion (<xref ref-type="bibr" rid="bib35">Kandel et al., 2000</xref>, p. 753) suggest that functional connectivity may exist between ventral (motor) horns. Similarly, reflexes suggest connections between a dorsal (sensory) horn and both ipsilateral and contralateral ventral horns (<xref ref-type="bibr" rid="bib35">Kandel et al., 2000</xref>, Figure 36-2), and are primarily apparent in the presence of noxious stimuli. The ascending sensory pathways and descending motor pathways also suggest that there may be connectivity along the length of the cord, at least within individual dermatomes for dorsal horns (<xref ref-type="bibr" rid="bib35">Kandel et al., 2000</xref>, p. 445). However, it must be emphasized that the lack of a direct anatomical connection between two sub-regions of spinal gray matter does not preclude the possibility of finding connectivity between these regions because they may be indirectly connected via other pathways. In practice, even if significant low-frequency signal variations related to function are manifest, they may be obscured by cord motion and various other sources of physiological noise. Here we adapt the paradigm used for earlier investigations of connectivity in the brain whereby we define very small regions of interest in anatomically distinct parts of spinal gray matter which in general subserve defined functions, and examine interregional steady-state correlations between them. In addition, we derive the patterns of voxels that show significant temporal correlation with selected single voxels within regions. These approaches have been successfully used, for example, in the cortex to delineate motor circuits. The use of high resolution images at 7 Tesla permit the reliable separation of ventral, dorsal, and bilateral segments of the cord so we can examine functional connectivity between sub-regions guided by known anatomical features. Functional connectivity along the cord may also be examined by considering any subregion in one slice and the same or another subregion in adjacent (or other) slices, but here we limit the group analysis of our first report to functional connectivity assessed within axial slices.</p></sec><sec id="s2" sec-type="results"><title>Results</title><p>Functional images were preprocessed to mitigate rigid-body motion and physiological noise, and spatially interpolated to match the digital resolution of the T<sub>2</sub><sup>*</sup>-weighted anatomical images (<xref ref-type="fig" rid="fig2">Figure 2</xref>). A 14-step standardized analysis protocol (described in 'Materials and methods') was used for each of the 22 subjects studied. In each subject, temporal signal-to-noise ratio (TSNR) was measured in spinal gray matter upon completion of the functional-to-anatomical affine registration (step #9) as well as after the application of CSF and white matter ‘regressors of no interest’ (steps #11 and #12). Across all 22 subjects, we observed a 30% increase in median TSNR (from 29.3 to 38.1) after the application of these few regressors, demonstrating the importance of characterizing and removing structured noise sources (<xref ref-type="bibr" rid="bib60">Xie et al., 2012</xref>). After band-pass filtering to isolate the frequency range of interest (0.01–0.08 Hz), single-subject analyses show that statistically significant correlations are measurable between selected regions and are reproducible across subjects. As an illustrative example with the corresponding time series, an analysis performed on one subject (female, 23 years old) demonstrates connectivity with the contralateral ventral horns in the same slice and with adjacent slices when a seed region is selected in the center of the right ventral horn (<xref ref-type="fig" rid="fig3">Figure 3</xref>). A stringent threshold of |<italic>z</italic>| &gt; 3.29 (a two-tailed 99.9% confidence interval) was selected to show that connectivity is focused in the gray matter horns and not in central gray matter (connecting left and right sides and largely dominated by the central canal) nor adjacent white matter, which provides evidence that such gray matter correlations cannot be simply attributed to spatially correlated physiological noise and more likely represent genuine functional connectivity. Further examples of within-slice connectivity analyses in single subjects confirm that reproducible focal connectivity is found between ventral horns (<xref ref-type="fig" rid="fig4">Figure 4A–F</xref>) and between dorsal horns (<xref ref-type="fig" rid="fig4">Figure 4G–J</xref>). There is also evidence of plausible connectivity with central gray matter (<xref ref-type="fig" rid="fig4">Figure 4K</xref>) and between ventral and dorsal horns (<xref ref-type="fig" rid="fig4">Figure 4L</xref>), but these correlations are less consistent across all slices and not statistically significant at the group level. To quantify the occurrence of within-slice correlations between gray matter sub-regions across slices, we averaged time courses within each respective gray matter sub-region (defined in step #14) and considered only positive correlations at a more conventional 95% confidence interval (<italic>z</italic> &gt; 1.65; one-tailed). Across all 264 slices (12 slices/subject × 22 subjects), we observed that 67% of slices (177 of 264) exhibit significant correlations between ventral horns and 37% of slices (97 of 264) exhibit significant correlations between dorsal horns. In comparison, a markedly fewer number of slices (only 1 in 5) exhibited significant correlations between the remaining four pairs: 21% between left ventral and left dorsal horns (55 of 264), 21% between left ventral and right dorsal horns (55 of 264), 20% between right ventral and left dorsal horns (54 of 264), and 23% between right ventral and right dorsal horns (62 of 264).<fig id="fig2" position="float"><object-id pub-id-type="doi">10.7554/eLife.02812.004</object-id><label>Figure 2.</label><caption><title>Functional weighted spinal cord images at 7 Tesla.</title><p>A single volume of twelve contiguous T<sub>2</sub>*-weighted slices centered on the C3/C4 junction (as illustrated in <xref ref-type="fig" rid="fig1">Figure 1A</xref>) in one subject. Each volume was acquired with 0.91 × 0.91 × 4 mm<sup>3</sup> voxels and resampled to 0.31 × 0.31 × 4 mm<sup>3</sup> voxels during the affine functional-to-anatomical registration. Excellent contrast between white matter and cerebrospinal fluid facilitates accurate registration between such functional volumes and high-resolution anatomical images (<xref ref-type="fig" rid="fig1">Figure 1B</xref>). The use of a 3D acquisition sequence with relatively short echo time and relatively few k-space lines per radiofrequency pulse provides high-quality images with minimal signal drop-out and geometric distortions, although artifacts caused by fat shift of the nerve root sleeve in the phase-encode direction still affect the dorsal edge in a few slices.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.004">http://dx.doi.org/10.7554/eLife.02812.004</ext-link></p></caption><graphic xlink:href="elife02812f002"/></fig><fig id="fig3" position="float"><object-id pub-id-type="doi">10.7554/eLife.02812.005</object-id><label>Figure 3.</label><caption><title>A single-subject analysis of resting state functional connectivity with corresponding time series.</title><p>For clarity, only outlines of the gray matter butterfly and surrounding white matter are shown (rostro-caudal from left to right). Red and yellow represent statistically significant positive correlation with the seed time series (using a two-sided 99.9% confidence interval where red is 3.29 &lt; <italic>z</italic> ≤ 3.89 and yellow is <italic>z</italic> &gt; 3.89), and blue represents negative correlation (<italic>z</italic> &lt; −3.29). The seed voxel is selected in the right ventral horn in C5, and exhibits functional connectivity with the contralateral ventral horn in the same slice as well as adjacent slices. Such connectivity between ventral horns is observed across all subjects. In each of the four plots, a 3.5-min segment of the seed time course is shown in black and the time course of the corresponding region of interest is shown in magenta. The highest correlations are observed in the contralateral ventral horn on the same slice (<italic>z</italic> = 4.10) and on the adjacent slices (<italic>z</italic> = 4.38). Correlations with central gray matter (<italic>z</italic> = 2.55) and adjacent white matter (<italic>z</italic> = 0.84) are relatively low, which, given the small size of the spinal cord, suggest that such correlations are genuine and not dominated by widespread physiological noise.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.005">http://dx.doi.org/10.7554/eLife.02812.005</ext-link></p></caption><graphic xlink:href="elife02812f003"/></fig><fig id="fig4" position="float"><object-id pub-id-type="doi">10.7554/eLife.02812.006</object-id><label>Figure 4.</label><caption><title>Examples of within-slice resting state functional connectivity across subjects.</title><p>These analyses were performed using AFNI's ‘InstaCorr’ with p &lt; 0.001 and no minimum cluster size. In each panel, a seed voxel is marked with a green crosshair and resultant correlations are overlaid on the anatomical image. (<bold>A</bold>)–(<bold>F</bold>) Connectivity between ventral horns for subjects 1, 3, 8, 10, 11, and 13, respectively. (<bold>G</bold>)–(<bold>J</bold>) Connectivity between dorsal horns for subjects 5, 16, 18, and 22, respectively. (<bold>K</bold> and <bold>L</bold>) Less common correlations within gray matter. In (<bold>K</bold>) (subject 20), focal connectivity between ventral horns and with central gray matter. In (<bold>L</bold>) (subject 7), connectivity between ventral horns but also with the contralateral dorsal horn. At the single-subject level, there is some evidence for functional connectivity between ventral and dorsal horns, but such correlations are less common across slices and not statistically significant at the group level.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.006">http://dx.doi.org/10.7554/eLife.02812.006</ext-link></p></caption><graphic xlink:href="elife02812f004"/></fig></p><p>A group-level analysis of functional connectivity between sub-regions of spinal cord gray matter and adjacent white matter confirmed that the most robust correlations are observed between left and right ventral (motor) horns (p &lt; 0.01; corrected), as well as between left and right dorsal (sensory) horns (p &lt; 0.01; corrected) (<xref ref-type="fig" rid="fig5">Figure 5A</xref>). No significant group-level correlations (p &gt; 0.05) were observed between other gray matter sub-regions, nor between spinal cord gray and white matter. Weak positive correlations were observed between left and right dorsal column white matter (p &lt; 0.05; corrected), and negative correlations were observed between left ventral white matter and right dorsal white matter (p &lt; 0.01; corrected), and between right ventral white matter and both left (p &lt; 0.01; corrected) and right (p &lt; 0.01; corrected) dorsal white matter. The apparent existence of negative correlations in resting state spinal cord data is not unexpected because anticorrelations are commonly observed in resting state analyses of the brain (<xref ref-type="bibr" rid="bib18">Chang and Glover, 2010</xref>) and have been a topic of intense discussion for over a decade. The ranges of values within these six statistically significant distributions are presented as box-and-whisker plots (<xref ref-type="fig" rid="fig5">Figure 5B</xref>). The lower quartile is above zero in both gray matter plots, demonstrating that positive gray matter connectivity is a robust and reproducible measurement. In comparison, temporal correlations between white matter sub-regions are more variable and exhibit both positive and negative median correlations. The raw data used to generate this figure is provided as <xref ref-type="supplementary-material" rid="SD1-data">Figure 5—source data 1</xref>. Additional analyses were performed (<xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref>, <xref ref-type="fig" rid="fig5s3">Figure 5—figure supplement 3</xref>, and <xref ref-type="fig" rid="fig5s5">Figure 5—figure supplement 5</xref>) to confirm that positive gray matter correlations are stable across various preprocessing procedures whereas white matter correlations are positive before but negative or non-significant after white matter regression (step #12). These supplementary analyses also showed that weaker positive correlations between sub-regions of left and right dorsal white matter remained positive and significant across various preprocessing configurations.<fig-group><fig id="fig5" position="float"><object-id pub-id-type="doi">10.7554/eLife.02812.007</object-id><label>Figure 5.</label><caption><title>Group-level functional connectivity between sub-regions of spinal gray matter (GM) and surrounding white matter (WM) within slices.</title><p>(<bold>A</bold>) In GM, strong positive correlations are observed between left (LV) and right (RV) ventral horns, as well as left (LD) and right (RD) dorsal horns (*p&lt;0.05; **p&lt;0.01; Bonferroni corrected). Weaker positive and negative correlations are observed within WM. No statistically significant correlations are observed between spinal GM and WM (upper right quadrant). (<bold>B</bold>) Box-and-whisker plots showing the median and upper and lower quartiles of the six statistically significant results identified in (<bold>A</bold>). Whiskers extend out to 1.5 times the distance between the upper and lower quartiles, and an outlier (beyond the whiskers) is denoted by a plus. Wilcoxon signed rank tests identify the distributions of <italic>z</italic>-scores (across all slices and subjects) that are significantly different from zero (p &lt; 0.05). Functional connectivity between WM sub-regions is more variable and exhibits both positive and negative median correlations. In comparison, median GM correlations between LV-RV and LD-RD are positive across all 22 subjects. Additional analysis permutations (described in <xref ref-type="fig" rid="fig5s1 fig5s3 fig5s5">Figure 5—figure supplements 1, 3, and 5</xref> with example GM power spectra shown in <xref ref-type="fig" rid="fig5s2 fig5s4 fig5s6">Figure 5—figure supplements 2, 4, and 6</xref>) reveal that the three negative WM correlations are influenced by WM regression (step #12) and thus are open to more than one interpretation. However, supplementary analyses reveal that the positive GM correlations between ventral horns and between dorsal horns persist across all preprocessing permutations. These additional analyses further support the conclusion that positive correlations between GM horns are not artifactual—possibly created by preprocessing choices or frequency bandwidth selection—and most likely represent genuine functional connectivity.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.007">http://dx.doi.org/10.7554/eLife.02812.007</ext-link></p><p><supplementary-material id="SD1-data"><object-id pub-id-type="doi">10.7554/eLife.02812.008</object-id><label>Figure 5—source data 1.</label><caption><title>Matlab file containing the raw data used to generate <xref ref-type="fig" rid="fig5">Figure 5</xref>.</title><p>The dimensions of this matrix are 8 × 8 × 22 where the 8 × 8 represents all possible comparisons between the eight sub-regions (<xref ref-type="fig" rid="fig5">Figure 5A</xref>) and the upper-triangular entries are non-zero. For each of the 28 unique comparisons, the 22 entries in the third dimension correspond to the median measurement of functional connectivity across all 12 slices for each of the 22 subjects.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.008">http://dx.doi.org/10.7554/eLife.02812.008</ext-link></p></caption><media mime-subtype="mat" mimetype="application" xlink:href="elife02812s001.mat"/></supplementary-material></p></caption><graphic xlink:href="elife02812f005"/></fig><fig id="fig5s1" position="float" specific-use="child-fig"><object-id pub-id-type="doi">10.7554/eLife.02812.009</object-id><label>Figure 5—figure supplement 1.</label><caption><title>Functional connectivity matrices resulting from preprocessing pipeline permutations.</title><p>As before, functional data were band-pass filtered between 0.01 and 0.08 Hz (*p&lt;0.05; **p&lt;0.01; Bonferroni corrected). For clarity the labels are not shown for each column/row but are the same as in <xref ref-type="fig" rid="fig5">Figure 5</xref>. (<bold>A</bold>) Preprocessing was performed as described in the Methods except CSF and WM regressors (steps #11 and #12) were not applied. Each GM sub-region is highly correlated with all other GM sub-regions and similarly each WM sub-region is highly correlated with all other WM sub-regions. Interestingly, there are no significant group-level correlations between GM and WM sub-regions, suggesting that ‘global’ GM fluctuations tend to be constrained to GM and ‘global’ WM fluctuations tend to be constrained to WM. (<bold>B</bold>) Preprocessing was performed as described in ‘Materials and methods’ except a WM regressor (step #12) was not applied. The application of only CSF regressors reduced correlations within both GM and WM, but all inter-region correlations remained and were statistically significant. (<bold>C</bold>) Preprocessing was performed exactly as described in ‘Materials and methods’ (i.e., this panel is the same as <xref ref-type="fig" rid="fig5">Figure 5A</xref> except for a larger dynamic range for <italic>z</italic>-scores). Regression of the principal eigenvector of all time series in the WM mask significantly altered correlations within both GM and WM. This unintuitive result may be explained if WM masks contain signal contributions from adjacent GM voxels, which is certainly possible given the small size of the GM butterfly and unavoidable partial volume effects, and sub-millimeter functional-to-anatomical warping inaccuracies caused by magnetic field inhomogeneities. (<bold>D</bold>) To investigate the possibility that WM masks contain fractions of GM voxels, and the impact of different regression masks on correlations between sub-regions, preprocessing was performed as described in ‘Materials and methods’ except step #12 extracted the principal eigenvector of all time series within a combined WM and GM mask. Given the small size of each GM mask relative to its neighboring WM mask, the principal eigenvector from the combined mask (WM&amp;GM) should be similar to only using WM. Indeed, regression with these modified eigenvectors produces similar group-level correlations between WM sub-regions and introduce weak negative correlations between GM sub-regions. In GM, positive correlations between ventral horns and between dorsal horns still persist after this more invasive regressor, providing further evidence that these strong temporally correlated fluctuations are unlikely to be caused by physiological motion or spatially-correlated noise. To further investigate the spatial extent of global fluctuations within GM, we repeated the preprocessing as described in ‘Materials and methods’ but eroded the WM mask slightly before extracting the principal eigenvector. The results of this tertiary analysis (not shown) were slightly different but statistically similar to <xref ref-type="fig" rid="fig5">Figure 5A</xref>, demonstrating that voxels on and near the GM-WM boundary in fact characterize physiological fluctuations from both tissue types due to unavoidable partial volume effects and sub-millimeter warping inaccuracies. Overall, these supplementary analyses suggest that the preprocessing performed in the main manuscript (regression of the principal eigenvector from WM masks without erosion) is an appropriate strategy for suppressing extraneous fluctuations within both WM and GM without introducing substantial negative correlations between GM sub-regions. Finally, power spectra for WM and GM sub-regions in (<bold>C</bold>) are presented in <xref ref-type="fig" rid="fig5s2">Figure 5—figure supplement 2</xref>.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.009">http://dx.doi.org/10.7554/eLife.02812.009</ext-link></p></caption><graphic xlink:href="elife02812fs001"/></fig><fig id="fig5s2" position="float" specific-use="child-fig"><object-id pub-id-type="doi">10.7554/eLife.02812.010</object-id><label>Figure 5—figure supplement 2.</label><caption><title>Power spectra across gray and white matter sub-regions for data filtered between 0.01 and 0.08 Hz.</title><p>Power spectra for (<bold>A</bold>) ventral and (<bold>B</bold>) dorsal GM sub-regions in <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1C</xref> that exhibit significant positive correlations (<italic>z</italic> &gt; 1.65; one-tailed), and all WM sub-regions. For each frequency the plotted power represents median power across slices and subjects. Within a range from 0.015 Hz to 0.075 Hz, ventral GM exhibits 32% more power than WM whereas dorsal GM exhibits only 5% more power. This difference in power between GM sub-regions may be explained through the preprocessing pipeline permutations presented in <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref>. <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1A,B</xref> show comparable <italic>z</italic>-scores between ventral and dorsal GM horns, and this difference does not appear until after WM regression (<xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1C</xref>) or WM&amp;GM regression (<xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1D</xref>). Therefore, regression with this final eigenvector suppresses a larger contribution of signal fluctuations (and thus power) from dorsal GM than ventral GM, which may be attributed to the small size of the dorsal horns and partial volume averaging effects (because the WM mask is not eroded before PCA), as well as to unavoidable sub-millimeter registration inaccuracies. The large peak at ∼0.75 Hz is likely due to physiological noise, so it could be argued that this noise power significantly affects the measurements of functional connectivity. To investigate this further and discount the possibility that our results are driven by physiological noise around 0.75 Hz, the analyses in <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref> are repeated after data are filtered with a narrower band-pass filter between 0.01 Hz and 0.07 Hz. These results are presented in <xref ref-type="fig" rid="fig5s3">Figure 5—figure supplement 3</xref>.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.010">http://dx.doi.org/10.7554/eLife.02812.010</ext-link></p></caption><graphic xlink:href="elife02812fs002"/></fig><fig id="fig5s3" position="float" specific-use="child-fig"><object-id pub-id-type="doi">10.7554/eLife.02812.011</object-id><label>Figure 5—figure supplement 3.</label><caption><title>Functional connectivity matrices resulting from preprocessing pipeline permutations after band-pass filtering between 0.01 and 0.07 Hz.</title><p>Functional connectivity matrices resulting from preprocessing pipeline permutations after band-pass filtering between 0.01 and 0.07 Hz to suppress power from likely physiological noise at ∼0.75 Hz (*p&lt;0.05; **p&lt;0.01; Bonferroni corrected). For clarity the labels are not shown for each column/row but are the same as in <xref ref-type="fig" rid="fig5">Figure 5</xref>. (<bold>A</bold>) Preprocessing was performed as described in the Methods except CSF and WM regressors (steps #11 and #12) were not applied, and step #13 used a different frequency bandwidth. (<bold>B</bold>) Preprocessing was performed as described in ‘Materials and methods’ except a WM regressor (step #12) was not applied and step #13 used a different frequency bandwidth. (<bold>C</bold>) Preprocessing was performed as described in ‘Materials and methods’ except step #13 used a different frequency bandwidth. (<bold>D</bold>) Preprocessing was performed as described in ‘Materials and methods’ except step #12 extracted the principal eigenvector of all time series within a combined WM and GM mask and step #13 used a different frequency bandwidth. Only a couple of minor changes are apparent between these matrices and those presented in <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref>, suggesting that a slight decrease in the upper filter range from 0.08 Hz to 0.07 Hz to further suppress physiological noise does not appear to have a significant impact on the group-level connectivity analyses. Power spectra for WM and GM sub-regions in (<bold>C</bold>) are presented in <xref ref-type="fig" rid="fig5s4">Figure 5—figure supplement 4</xref>.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.011">http://dx.doi.org/10.7554/eLife.02812.011</ext-link></p></caption><graphic xlink:href="elife02812fs003"/></fig><fig id="fig5s4" position="float" specific-use="child-fig"><object-id pub-id-type="doi">10.7554/eLife.02812.012</object-id><label>Figure 5—figure supplement 4.</label><caption><title>Power spectra across gray and white matter sub-regions for data filtered between 0.01 and 0.07 Hz.</title><p>Power spectra for (<bold>A</bold>) ventral and (<bold>B</bold>) dorsal GM sub-regions in <xref ref-type="fig" rid="fig5s3">Figure 5—figure supplement 3C</xref> that exhibit significant positive correlations in the original analysis (<xref ref-type="fig" rid="fig5">Figure 5A</xref>; <italic>z</italic> &gt; 1.65; one-tailed), and all WM sub-regions. For each frequency the plotted power represents median power across slices and subjects. Within a range from 0.015 Hz to 0.065 Hz, ventral GM similarly exhibits 31% more power than WM whereas dorsal GM exhibits 5% more power. The narrower bandwidth completely suppresses the noise peak at ∼0.75 Hz but the results from functional connectivity analyses are almost unchanged (<xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref> vs <xref ref-type="fig" rid="fig5s3">Figure 5—figure supplement 3</xref>), confirming that this peak does not significantly affect the overall results. Our original decision to filter resting state spinal cord data between 0.01 Hz and 0.08 Hz (step #13) was motivated by the approach most commonly used for resting state analyses in the brain (filtering between 0.01 Hz and 0.08–0.1 Hz), although it is not yet clear if this frequency range is optimal for resting state spinal cord analyses. To investigate the possibility that frequencies above 0.08 Hz may contribute to inherent functional connectivity, the analyses in <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref> are once again repeated after data are filtered with a wider band-pass filter between 0.01 Hz and 0.13 Hz. These results are presented in <xref ref-type="fig" rid="fig5s5">Figure 5—figure supplement 5</xref>.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.012">http://dx.doi.org/10.7554/eLife.02812.012</ext-link></p></caption><graphic xlink:href="elife02812fs004"/></fig><fig id="fig5s5" position="float" specific-use="child-fig"><object-id pub-id-type="doi">10.7554/eLife.02812.013</object-id><label>Figure 5—figure supplement 5.</label><caption><title>Functional connectivity matrices resulting from preprocessing pipeline permutations after band-pass filtering between 0.01 and 0.13 Hz.</title><p>Functional connectivity matrices resulting from preprocessing pipeline permutations after band-pass filtering between 0.01 and 0.13 Hz (*p&lt;0.05; **p&lt;0.01; Bonferroni corrected). For clarity the labels are not shown for each column/row but are the same as in <xref ref-type="fig" rid="fig5">Figure 5</xref>. (<bold>A</bold>) Preprocessing was performed as described in the Methods except CSF and WM regressors (steps #11 and #12) were not applied, and step #13 used a different frequency bandwidth. (<bold>B</bold>) Preprocessing was performed as described in ‘Materials and methods’ except a WM regressor (step #12) was not applied and step #13 used a different frequency bandwidth. (<bold>C</bold>) Preprocessing was performed as described in ‘Materials and methods’ except step #13 used a different frequency bandwidth. (<bold>D</bold>) Preprocessing was performed as described in ‘Materials and methods’ except step #12 extracted the principal eigenvector of all time series within a combined WM and GM mask and step #13 used a different frequency bandwidth. The inclusion of frequencies between 0.08 Hz and 0.13 Hz primarily strengthens GM correlations between ventral horns (relative to the results obtained using only frequencies between 0.01 Hz and 0.08 Hz) but also increases the statistical significance of WM correlations between LD and RD. Power spectra for WM and GM sub-regions in (<bold>C</bold>) are presented in <xref ref-type="fig" rid="fig5s6">Figure 5—figure supplement 6</xref>.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.013">http://dx.doi.org/10.7554/eLife.02812.013</ext-link></p></caption><graphic xlink:href="elife02812fs005"/></fig><fig id="fig5s6" position="float" specific-use="child-fig"><object-id pub-id-type="doi">10.7554/eLife.02812.014</object-id><label>Figure 5—figure supplement 6.</label><caption><title>Power spectra across gray and white matter sub-regions for data filtered between 0.01 and 0.13 Hz.</title><p>Power spectra for (<bold>A</bold>) ventral and (<bold>B</bold>) dorsal GM sub-regions in <xref ref-type="fig" rid="fig5s5">Figure 5—figure supplement 5C</xref> that exhibit significant positive correlations in the original analysis (<xref ref-type="fig" rid="fig5">Figure 5A</xref>; <italic>z</italic> &gt; 1.65; one-tailed), and all WM sub-regions. For each frequency the plotted power represents median power across slices and subjects. Within the range of higher frequencies between 0.075 Hz and 0.125 Hz, ventral GM exhibits 28% more power than WM whereas dorsal GM and WM exhibit comparable total power (&lt; 0.3% difference). These data show that the original filter bandwidth between 0.01 Hz and 0.08 Hz was a sound choice, but also suggest that frequencies slightly above 0.08 Hz may contain additional power related to GM connectivity. Future work will acquire resting state spinal cord data with a faster sampling rate to better understand the relative frequency-dependent contributions from BOLD signal fluctuations and physiological noise.</p><p><bold>DOI:</bold> <ext-link ext-link-type="doi" xlink:href="10.7554/eLife.02812.014">http://dx.doi.org/10.7554/eLife.02812.014</ext-link></p></caption><graphic xlink:href="elife02812fs006"/></fig></fig-group></p></sec><sec id="s3" sec-type="discussion"><title>Discussion</title><p>We have presented the first conclusive demonstration that ultra-high field fMRI can non-invasively detect and characterize resting state BOLD signals within the gray matter of the human spinal cord. Low-frequency temporal correlations were observed between gray matter horns in all subjects, and examples of these correlations are presented in <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref>. Within a given axial slice, the strongest and most robust correlations were between left and right ventral horns. Correlations were also observed between left and right dorsal horns, and the reproducibility of correlations between ventral horns and between dorsal horns was demonstrated within a cohort of 22 healthy volunteers (<xref ref-type="fig" rid="fig5">Figure 5</xref>). Although correlations between ventral and dorsal gray matter were also observed at the single-subject level (<xref ref-type="fig" rid="fig4">Figure 4L</xref>), such findings were less frequent and not statistically significant at the group level. The absence of group-level correlations between spinal gray matter and adjacent white matter showed that these positive gray matter correlations are unlikely to be driven by spatially-correlated physiological noise. In fact, supplementary analyses without CSF or white matter regressors (<xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1a</xref>) revealed strong correlations within gray matter and within white matter but not between gray and white matter, suggesting that gray and white matter in the spinal cord may exhibit different degrees of physiological fluctuations. The main analyses (<xref ref-type="fig" rid="fig5">Figure 5</xref>) also showed anticorrelations between white matter sub-regions. These observations were not unexpected because negative correlations are commonly seen in the brain (<xref ref-type="bibr" rid="bib18">Chang and Glover, 2010</xref>), but additional analyses (<xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref>) revealed that correlations within white matter were heavily influenced by preprocessing methodology. As a result, the nature of negative white matter correlations remains unclear and requires further investigation. However, predominantly positive correlations between dorsal white matter sub-regions persisted across preprocessing permutations. Although the origins of these positive white matter correlations remain to be determined, and whereas in general BOLD signals from activation have been difficult to detect in brain white matter, we note that Ding et al. recently reported the reliable detection of anisotropic correlations of resting state BOLD signals in brain white matter that appear to mimic white matter tracts identified by diffusion imaging methods (<xref ref-type="bibr" rid="bib23">Ding et al., 2013</xref>). Moreover, the white matter sub-regions within the cord also tend to be close to draining veins.</p><p>Another observation is that <italic>z</italic>-scores measured between ventral horns tended to be higher than <italic>z</italic>-scores measured between dorsal horns—a finding that was highly significant (p &lt; 0.01 using a two-tailed Wilcoxon signed rank test; ‘signrank’ in Matlab). There are several possible reasons for this finding. Firstly, the dorsal horns tend to be slightly narrower than the ventral horns, and thus may be more susceptible to registration inaccuracies, residual physiological noise, and partial volume averaging with adjacent white matter. Secondly, as shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>, signal dropout and unavoidable artifacts affect the dorsal horns but not ventral horns in a few slices, which would bias the results in favor of ventral horn connectivity. Finally, even if spatial artifacts, registration inaccuracies, signal dropout, physiological noise, and partial volume averaging effects were minimized, it may be that functional connectivity between dorsal horns is more variable if the automated selection of gray matter sub-regions (step #14) isolate signals from different laminae within dorsal horns (<xref ref-type="bibr" rid="bib48">Ruscheweyh and Sandkühler, 2002</xref>).</p><p>To date, clinical applications of task-based spinal fMRI studies have primarily been targeted to subjects with multiple sclerosis (<xref ref-type="bibr" rid="bib1">Agosta et al., 2008a</xref>, <xref ref-type="bibr" rid="bib2">2008b</xref>, <xref ref-type="bibr" rid="bib4">2009b</xref>; <xref ref-type="bibr" rid="bib55">Valsasina et al., 2010</xref>, <xref ref-type="bibr" rid="bib56">2012</xref>) and spinal cord injury (SCI) (<xref ref-type="bibr" rid="bib52">Stroman et al., 2002</xref>, <xref ref-type="bibr" rid="bib53">2004</xref>; <xref ref-type="bibr" rid="bib36">Kornelsen and Stroman, 2007</xref>). We propose that the non-invasive methods of resting state spinal cord functional connectivity developed in this paper may be most readily translatable to clinical investigations characterizing damage due to acute or chronic SCI and monitoring the efficacy of surgical or pharmacological interventions. Functional connectivity and the assessment of plasticity in the human spinal cord and animal models of SCI have been topics of intense research for many years (<xref ref-type="bibr" rid="bib14">Bregman et al., 1997</xref>; <xref ref-type="bibr" rid="bib46">Raineteau and Schwab, 2001</xref>; <xref ref-type="bibr" rid="bib17">Cai et al., 2006</xref>; <xref ref-type="bibr" rid="bib28">Freund et al., 2011</xref>) because SCI affects 260,000 people in the United States (a prevalence of ∼1 in 1200) with 11,000 new injuries reported each year (<xref ref-type="bibr" rid="bib6">National Spinal Cord Injury Statistics Center, 2010</xref>). Studies have investigated the role of propriospinal neurons in partial recovery from incomplete SCI (<xref ref-type="bibr" rid="bib9">Bareyre, 2008</xref>; <xref ref-type="bibr" rid="bib24">Flynn et al., 2011a</xref>) while in vitro analyses of functional connectivity in mouse spinal cord have relied on electrophysiological methods (<xref ref-type="bibr" rid="bib25">Flynn et al., 2011b</xref>). A new intervention strategy using epidural stimulation and stand training was recently developed that has to date restored voluntary movement in four patients with complete paralysis, demonstrating that functional connectivity across a lesion may be restored with epidural stimulation (<xref ref-type="bibr" rid="bib5">Angeli et al., 2014</xref>). Such studies would likely benefit from an ability to assess the functional architecture of the spinal cord throughout therapy. The majority of spinal injuries are, however, incomplete, and lost function may eventually return to near-normal levels; however, the progression of functional recovery after incomplete SCI remains poorly understood due to the absence of a non-invasive method to reliably assess spinal cord connectivity in vivo. We propose that resting state acquisitions of the cervical spinal cord will become a valuable tool for characterizing changes in functional connectivity in SCI, and for the prognosis and monitoring of progression of recovery via spontaneous repair and/or surgical intervention. For example, the imaging volume (shown in <xref ref-type="fig" rid="fig1">Figure 1A</xref>) may be centered on a focal injury to the cord, and functional connectivity above and below the injury may be assessed. This process with identical slice placement could then be repeated serially over time to investigate phenomena of neural plasticity and adaptation of spinal pathways. Moreover, even in normal subjects, the functional organization of the spinal cord is relatively under-explored and remains poorly understood. Observations of altered resting state connectivity in the brain in numerous disorders (<xref ref-type="bibr" rid="bib26">Fox and Greicius, 2010</xref>) and as a function of behavior or cognitive skills suggest that such correlations reflect an important level of organization and may play a fundamental role in the execution and maintenance of various functions (<xref ref-type="bibr" rid="bib44">Pizoli et al., 2011</xref>). Thus, investigation of resting state spinal cord networks could similarly have widespread applicability in studying central nervous system diseases that affect motor and/or sensory pathways such as cervical spondylotic myelopathy, neuromyelitis optica, acute disseminated encephalomyelitis, arachnoiditis, transverse myelitis, amyotrophic lateral sclerosis, and multiple sclerosis.</p><p>Our study has three main limitations. Firstly, although we observed statistically significant correlations along the cord in single-subject analyses (for example, in left ventral gray matter in <xref ref-type="fig" rid="fig3">Figure 3</xref>), we chose to constrain the group analysis to investigating connectivity within each axial slice. This was done because incorporating correlations along the cord would have made the analysis significantly more complicated by increasing the number of potential correlations by an order of magnitude. Furthermore, as shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>, some slices exhibited regions of signal dropout at the dorsal edge caused by fat shift of the nerve root sleeve in the phase-encode (anterior-posterior) direction. The absence of a statistically significant correlation with a slice impacted by main field (B<sub>0</sub>) inhomogeneities or an artifact cannot in and of itself be interpreted as proof that connectivity does not exist between particular sub-regions of interest, and ultimately very careful single-subject analyses will need to be performed to reliably characterize functional connectivity along the cord. Secondly, although we have investigated one aspect of reproducibility (via a group analysis of 22 healthy volunteers) and established the existence of spinal cord functional connectivity, further investigations of within-subject reproducibility still need to be performed. This could be done by acquiring multiple resting state runs from a single scanning session and/or by scanning the same volunteer on multiple days while ensuring that the imaging volume is consistently placed in the same location (e.g., centered on the C3/C4 junction, as shown in <xref ref-type="fig" rid="fig1">Figure 1A</xref>). The reproducibility of these connectivity measures over months and years will need to be quantified before such techniques can be reliably used to study disease progression or gerontology. Thirdly, this study reports empirical findings of functional connectivity in the spinal cord but does not directly address the physiological origins of these low-frequency BOLD signal fluctuations. However, as a point of reference, observations of functional connectivity were first reported in the brain nearly two decades ago (<xref ref-type="bibr" rid="bib13">Biswal et al., 1995</xref>) and yet the origin of these fluctuations is still a topic of intense discussion. Although the nature of resting state correlations is not fully understood, recent studies have combined tractography and functional imaging with techniques such as network analysis and graph theory to explore how these networks may have emerged (<xref ref-type="bibr" rid="bib21">Deco et al., 2013a</xref>, <xref ref-type="bibr" rid="bib22">2013b</xref>; <xref ref-type="bibr" rid="bib57">van den Heuvel and Sporns, 2013</xref>; <xref ref-type="bibr" rid="bib40">Mišić et al., 2014</xref>; <xref ref-type="bibr" rid="bib32">Goñi et al., 2014</xref>). The origin of resting state networks has also been explored within the context of evolution and the expansion of the cerebral cortex (<xref ref-type="bibr" rid="bib16">Buckner and Krienen, 2013</xref>). We therefore propose that because the spinal cord is an integral part of the central nervous system, one simple explanation is that low-frequency BOLD fluctuations in the brain and spinal cord share the same origin. This theory would then suggest that there may be long-range connections between networks in the spinal cord and cerebrum (and cerebellum), and future research should consider the nature of resting state networks not only within the brain but within the entire central nervous system.</p><p>Previous attempts to detect functional connectivity in the spinal cord have undoubtedly been confronted by significant technical challenges. At conventional field strengths (1.5 Tesla and 3.0 Tesla), the lower signal-to-noise ratio and BOLD contrast limit the spatial resolution and sensitivity for detecting BOLD signals, so large voxels are typically used and multiple acquisitions are averaged. At 7 Tesla, high resolution BOLD acquisitions of the spinal cord have not evolved as rapidly as for the brain in part due to the widespread dependence on single-shot echo-planar acquisitions at lower fields and the lack of specialized coils to image the spinal cord. We addressed these challenges and limitations by using a 7 Tesla scanner, novel fMRI image acquisition and data correction protocols, and a dedicated 16-channel radiofrequency coil array designed for cord imaging. Our results are the first demonstrations of functional imaging of the human spinal cord at 7 Tesla (<xref ref-type="bibr" rid="bib11">Barry et al., 2013a</xref>) and high-resolution resting state functional connectivity in the spinal cord (<xref ref-type="bibr" rid="bib12">Barry et al., 2013b</xref>), and are likely to be of significant relevance in understanding basic aspects of spinal cord function both in normal development and in clinical disorders of the central nervous system.</p></sec><sec id="s4" sec-type="materials|methods"><title>Materials and methods</title><sec id="s4-1"><title>Data acquisition</title><p>Experiments were performed on a Philips Achieva 7 Tesla scanner with a custom-designed (Nova Medical Inc.) quadrature transmit and 16-channel receive coil array for cervical spinal cord imaging. 22 healthy volunteers (11 male, 21–63 years; 11 female, 23–34 years; 28.4 ± 8.8 years) with no history of spinal cord injury or neurological impairment were recruited and scanned under protocols approved by the Institutional Review Board at Vanderbilt University Medical Center. Female participants of childbearing potential required a negative urine pregnancy test for the scan to proceed. Non-MR study data were collected and managed using REDCap electronic data capture tools hosted at Vanderbilt University (<xref ref-type="bibr" rid="bib34">Harris et al., 2009</xref>). REDCap (Research Electronic Data Capture) is a secure, web-based application designed to support data capture for research studies.</p><p>Anatomical axial images with high spatial resolution and T<sub>2</sub><sup>*</sup>-weighting (<xref ref-type="fig" rid="fig1">Figure 1B</xref>) were acquired with the following MR parameters: field of view = 160 × 160 mm<sup>2</sup>, 12 4-mm slices (centered on the C3/C4 junction, as shown in <xref ref-type="fig" rid="fig1">Figure 1A</xref>), nominal voxel size = 0.6 × 0.6 × 4 mm<sup>3</sup>, interpolated voxel size = 0.31 × 0.31 × 4 mm<sup>3</sup>, repetition time = 303 ms, echo time = 8.2 ms, flip angle = 25°, sensitivity encoding (SENSE) (<xref ref-type="bibr" rid="bib45">Pruessmann et al., 1999</xref>) reduction factor = 2.0 (anterior-posterior), signal acquisitions = 8, total acquisition time = 5 min 22 s.</p><p>Functional images with identical slice placement were acquired with a 3D multi-shot gradient-echo sequence (<xref ref-type="bibr" rid="bib58">van der Meulen et al., 1988</xref>) previously shown to minimize T<sub>2</sub><sup>*</sup> blurring and geometric distortions in cortical fMRI at 7 Tesla (<xref ref-type="bibr" rid="bib10">Barry et al., 2011</xref>). The functional MR parameters for the first 11 subjects were: field of view = 160 × 160 mm, twelve 4-mm slices, voxel size = 0.91 × 0.91 × 4 mm<sup>3</sup>, repetition time = 18 ms, echo time = 7.8 ms, flip angle = 15°, echo train length = 9, SENSE reduction factor = 1.56 (anterior-posterior), volume acquisition time = 3.6 s (300 ms/slice), number of volumes = 150 (after 10 ‘dummy’ scans), total scan time = 9 min 38 s, max gradient strength = 30 mT/m, max slew rate = 175 mT/m/ms. The functional MR parameters for the last 11 subjects were the same except for the following minor adjustments: repetition time = 17 ms, echo time = 8.0 ms, volume acquisition time = 3.34 s (278 ms/slice), total scan time = 9 min. For all subjects, respiratory and cardiac cycles were externally monitored and recorded using a respiratory bellow (placed on the abdomen) and pulse oximeter (placed on the left index finger).</p></sec><sec id="s4-2"><title>Data processing</title><p>Functional data were corrected for physiological noise using methods that are commonly used in fMRI of the brain in addition to novel data-driven ‘regressors of no interest’. The steps applied to all spinal fMRI data are as follows:<list list-type="order"><list-item><p>For each slice of anatomical and functional images, a 2D Gaussian weighting kernel was manually defined with the full-width-at-half-maximum set at the CSF boundaries. Weighting masks defined on anatomical images were used in affine registration (step #8), and weighting masks defined on functional images were used in affine registration as well as rigid-body motion correction (step #5).</p></list-item><list-item><p>For each slice, a ‘not-spine’ mask was defined by drawing a region around the entire spinal cord and then logically inverting it (used in step #3).</p></list-item><list-item><p>For each slice, data-driven ‘regressors of no interest’ were selected via principal component analysis (PCA) of all voxels within the not-spine mask to identify structured noise sources that would similarly affect the spinal cord and external (neck) regions. The number of eigenvectors selected reflected up to 80% of the slice-wise cumulative variance or until the difference between two successive eigenvalues was less than 2% (typically 3–5 per slice). These vectors were regressed from the time series of all voxels within a slice, and significantly improved the efficacy of motion correction (step #5) by mitigating widespread intensity fluctuations due to physiological processes (e.g., swallowing).</p></list-item><list-item><p>For each slice, a representative (target) volume was automatically selected for motion correction by calculating the median intensity of each voxel (over time) and then selecting the volume closest to the median image (identified via minimal least squares error).</p></list-item><list-item><p>Rigid-body motion correction was performed on a slice-wise basis (using 3dWarpDrive in AFNI [<xref ref-type="bibr" rid="bib20">Cox, 1996</xref>]) using the target volumes (identified in step #4). Motion was constrained to be within-plane translation (i.e., no rotation of the spinal cord). To mitigate the detrimental effects of sporadic artifacts (e.g., swallowing) on motion parameter estimation, translation estimates were filtered with a 5-point median filter and then re-applied (using 3dAllineate in AFNI [<xref ref-type="bibr" rid="bib20">Cox, 1996</xref>]) to the original data before motion correction. The initial registration (to obtain motion parameter estimates) used quintic interpolation and the final transformation used sinc interpolation.</p></list-item><list-item><p>An established image correction technique called RETROICOR [<xref ref-type="bibr" rid="bib31">Glover et al., 2000</xref>] (implemented in AFNI [<xref ref-type="bibr" rid="bib20">Cox, 1996</xref>]) was applied to the entire functional volume to further reduce quasi-periodic intensity variations due to physiological noise.</p></list-item><list-item><p>Using the high-resolution anatomical images as a reference, masks defining the boundaries of gray matter, white matter, and CSF were created for each slice.</p></list-item><list-item><p>Affine registration of the target volume (identified in step #4) to the anatomical image was performed (via 3dAllineate) on a slice-wise basis. The Hellinger metric was selected as the cost function, and the degrees of freedom were constrained to within-plane translation, scaling (maximum of 1% in the read direction and 5% in the phase-encode direction), and shearing (maximum of 5%).</p></list-item><list-item><p>The affine transforms (defined in step #8) were applied to all functional volumes (via 3dAllineate), and transformed functional images were resampled (with sinc interpolation) to match the final resolution of the anatomical volume (voxel size = 0.31 × 0.31 × 4 mm<sup>3</sup>).</p></list-item><list-item><p>The quality of the final functional-to-anatomical alignments was visually verified using MRIcron (<ext-link ext-link-type="uri" xlink:href="http://www.mccauslandcenter.sc.edu/mricro/mricron">www.mccauslandcenter.sc.edu/mricro/mricron</ext-link>).</p></list-item><list-item><p>For each slice, additional data-driven ‘regressors of no interest’ were selected via PCA of all functional voxels within the CSF mask (defined in step #7) to identify structured noise sources that would similarly affect gray matter and CSF. The number of eigenvectors selected reflected up to 50% of the slice-wise cumulative variance or until the difference between two successive eigenvalues was less than 2% (typically 2–6 per slice). These vectors were regressed from the time series of all spinal cord voxels within a slice.</p></list-item><list-item><p>For each slice, a ‘global’ white matter signal was calculated via PCA of all functional voxels within the white matter mask and extraction of the first eigenvector (typically representing 10–30% of the variance). This was primarily done to mitigate any residual variance due to shifting of the white matter boundary (caused by motion) but would also reduce variance caused by residual physiological noise. This vector was regressed from the time series of all gray and white matter voxels within a slice.</p></list-item><list-item><p>In preparation for analyses of functional connectivity, resultant functional data were band-pass filtered between 0.01 and 0.08 Hz using a Chebyshev Type II filter (‘cheby2’ and ‘filtfilt’ in Matlab) to emphasize low-frequency signals of interest.</p></list-item><list-item><p>In preparation for group analyses, gray and white matter masks (defined in step #7) were subdivided into quadrants to identify left and right ventral and dorsal horns (excluding central gray matter connecting left and right sides), as well as the four adjacent white matter regions. Each of these eight sub-region masks (per slice) was morphologically eroded (using ‘imerode’ in Matlab) to remove the outermost voxels and mitigate partial volume effects. For gray matter the morphological eroding object was a disk with a radius of 3 voxels, and for white matter it was a disk with a radius of 11 voxels. If the eroded sub-region did not contain any voxels (i.e., the disk was too large) then the disk size was incrementally decreased by 1 voxel, and the erosion process repeated until the innermost area of each sub-region was extracted. Time series extracted from each eroded sub-region were also used in single-subject analyses (except for in <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref>, which used single-voxel correlations) and power spectra calculations (figure supplements for <xref ref-type="fig" rid="fig5">Figure 5</xref>).</p></list-item></list></p><p>Figure supplements for <xref ref-type="fig" rid="fig5">Figure 5</xref> investigate modifications to steps #11, #12, and/or #13, and deviations from this standardized preprocessing pipeline are described in the respective figure legends.</p></sec><sec id="s4-3"><title>Data analysis</title><p>For the voxel-based analysis shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>, the linear correlation coefficient (<italic>r</italic>) was calculated between a seed voxel and all other voxels in Matlab. These correlation values were converted to <italic>z</italic>-scores using the Fisher <italic>r</italic>-to-<italic>z</italic> transformation <italic>z</italic> = tanh<sup>−1</sup>(<italic>r</italic>)(<italic>dof</italic>–3)<sup>1/2</sup> where <italic>dof</italic> is the estimated degrees of freedom for each voxel after correction for first-order autocorrelation (<xref ref-type="bibr" rid="bib47">Rogers and Gore, 2008</xref>). A statistical threshold of |<italic>z</italic>| &gt; 3.29 (a two-tailed 99.9% confidence interval) was selected to clearly show that gray matter correlations tend to be focused in the center of the horns. A minimum cluster threshold of nine contiguous interpolated voxels (3.49 mm<sup>3</sup>, approximately equal to the native functional voxel volume of 3.31 mm<sup>3</sup>) was also used to further protect against spurious correlations.</p><p>For the single-subject analyses presented in <xref ref-type="fig" rid="fig4">Figure 4</xref>, AFNI's ‘InstaCorr’ (<xref ref-type="bibr" rid="bib20">Cox, 1996</xref>) was used to display correlations between a single gray matter voxel and all other voxels within the spinal cord. The correlation threshold was p &lt; 0.001 and in these analyses no cluster thresholding was used to reveal all correlations within gray and white matter.</p><p>Finally, for the group-level region-of-interest (ROI)-based analyses (<xref ref-type="fig" rid="fig5">Figure 5</xref>), the time series of individual voxels were averaged within each eroded mask (created in step #14) for each subject. The linear correlation coefficient was then calculated between the averaged time course from a sub-region and all other sub-regions. These correlation coefficients were converted to <italic>z</italic>-scores and corrected for first-order autocorrelation (<xref ref-type="bibr" rid="bib47">Rogers and Gore, 2008</xref>). For each ROI comparison (e.g., left dorsal horn vs right dorsal horn), the median <italic>z</italic>-score (unthresholded) was calculated across all 12 slices for each of the 22 subjects, and then a two-tailed Wilcoxon signed rank test (‘signrank’ in Matlab) identified group-level distributions of 22 <italic>z</italic>-scores that were significantly different from zero (p &lt; 0.05 or p &lt; 0.01 with a Bonferroni correction factor of 28).</p></sec></sec></body><back><ack id="ack"><title>Acknowledgements</title><p>The authors thank David S Smith for assistance with Matlab code optimization, and Benjamin N Conrad for assistance with subject recruitment. This research was primarily supported by NIH grants 1K99EB016689-01A1 and 1R21NS081437-01A1, but also by grants 5R01EB000461, S10RR023047, and 5K01EB009120. The project was also supported by the National Center for Research Resources, grant UL1RR024975-01, which is now at the National Center for Advancing Translational Sciences, grant 2UL1TR000445-06. The content is solely the responsibility of the authors and does not necessarily represent the official views of the NIH.</p></ack><sec sec-type="additional-information"><title>Additional information</title><fn-group content-type="competing-interest"><title>Competing interests</title><fn fn-type="conflict" id="conf1"><p>The authors declare that no competing interests exist.</p></fn></fn-group><fn-group content-type="author-contribution"><title>Author contributions</title><fn fn-type="con" id="con1"><p>RLB, Conception and design, Acquisition of data, Analysis and interpretation of data, Drafting or revising the article</p></fn><fn fn-type="con" id="con2"><p>SAS, Conception and design, Acquisition of data, Analysis and interpretation of data, Drafting or revising the article</p></fn><fn fn-type="con" id="con3"><p>AND, Conception and design, Analysis and interpretation of data, Drafting or revising the article</p></fn><fn fn-type="con" id="con4"><p>JCG, Conception and design, Analysis and interpretation of data, Drafting or revising the article</p></fn></fn-group><fn-group content-type="ethics-information"><title>Ethics</title><fn fn-type="other"><p>Human subjects: Healthy volunteers with no history of spinal cord injury or neurological impairment provided informed consent to be scanned, and to have the research published, under protocols 111087 and 140202 approved by the Institutional Review Board at Vanderbilt University Medical Center.</p></fn></fn-group></sec><ref-list><title>References</title><ref id="bib1"><element-citation publication-type="journal"><person-group 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editor</role><aff><institution>Oxford University</institution>, <country>United Kingdom</country></aff></contrib></contrib-group></front-stub><body><boxed-text><p>eLife posts the editorial decision letter and author response on a selection of the published articles (subject to the approval of the authors). An edited version of the letter sent to the authors after peer review is shown, indicating the substantive concerns or comments; minor concerns are not usually shown. Reviewers have the opportunity to discuss the decision before the letter is sent (see <ext-link ext-link-type="uri" xlink:href="http://elifesciences.org/review-process">review process</ext-link>). Similarly, the author response typically shows only responses to the major concerns raised by the reviewers.</p></boxed-text><p>Thank you for sending your work entitled “Resting state functional connectivity in the human spinal cord” for consideration at <italic>eLife.</italic> Your article has been favorably evaluated by Eve Marder (Senior editor) and 2 reviewers, one of whom, Timothy Behrens, is a member of our Board of Reviewing Editors.</p><p>The Reviewing editor and the other reviewer discussed their comments before we reached this decision, and the Reviewing editor has assembled the following comments to help you prepare a revised submission.</p><p>We were impressed with the new cohort of subjects, and thought the manuscript substantially improved, but we still had several major technical issues with the data; <xref ref-type="fig" rid="fig4">Figure 4</xref> in particular, that prevent us from recommending publication in the current form. I have summarised the reviews below. Both reviewers had major queries about the statistical treatment and data presentation. We hope that you will be able to address these comments in revision. We note that we regard the statistical issues detailed in points 1-3 below as essential.</p><p>The issues surround the analyses in <xref ref-type="fig" rid="fig4">Figure 4</xref>.</p><p>1) The main result in (a) is a matrix of correlations, only some of which are shown (the others are zeroed if non-significant).</p><p>The reviewers had two major issues with this matrix:</p><p>(a) “This figure indicates that the z-score for e.g. the upper-right 4x4 square is exactly zero (light blue color) for each of the 16 correlations. The authors state in their response that they just wanted to show significant correlations (and they thus set all the non-significant ones to zero), but in my opinion this is obscuring part of the results. In the hypothetical worst case, all of these 16 correlations might be just below significance, which would call into question the specificity of their results. I'm not at all trying to suggest that this is the case but I would guess that the readers would like to judge for themselves how convincing the data are and it is thus essential to show these correlations as well, especially since spinal fMRI is still regarded with some scepticism. I am aware that the authors supplied the data that underlie <xref ref-type="fig" rid="fig4">Figure 4</xref>, but I couldn't analyse them, as none of my browsers allowed a correct download of the .mat file.”</p><p>But more importantly:</p><p>(b) “Almost all the correlations that are expected to be zero include the white matter. It is frankly ridiculous to regress out the white matter signal in pre-processing, and then say that there is no functional correlation within white matter. This is surely guaranteed to be the case. Without the white matter squares though, this figure would be simply two numbers, which wouldn't make much of a figure.”</p><p>The second set of important comments pertains to the group analysis in <xref ref-type="fig" rid="fig4">Figure 4b</xref>.</p><p>“The statistical tests in b are not sensible. All data are averaged across slices and subjects, artificially increasing degrees of freedom, reducing standard errors and leading to completely unreasonable p-values. This is clearly unreasonable. The correct analysis averages across slices within subject, and then performs the statistical test across subjects like any normal ROI-based analysis. There are several reasons why this analysis is not reasonable, but the most obvious is that the slices are not independent. Others include the fact that even if the slices were independent and heteroschedastically distributed, the nature of the random effect that would be inferred is not the population of individuals, but rather the population of slices.”</p><p>And:</p><p>“Despite the authors' arguments in their response, I still argue that it is not valid at the group level to test across slices and subjects. They should average across slices so that they test a set of 19 data-points (corresponding to the number of subjects) against zero, and not 228 (corresponding to the number of subjects times the number of slices), as they still do.”</p><p>After discussion, we would like to see the traditional analysis. If possible we would like to see the results of the simplest possible analysis which is a t-test on the first-level z-scores, as well as the non-parametric analysis proposed (but with the new slice averages, rather than the original slices).</p><p>3) We think it very odd that <xref ref-type="fig" rid="fig4">Figure 4</xref> does not contain any spatial or spectral evidence at the group level.</p><p>(a) If possible, we would therefore like to see the group average spatial maps of the correlations for seed points in the 2 dorsal and 2 ventral horns. Again, the average should be performed within subject first, and then significance should be determined across subjects.</p><p>(b) We would like to see the power spectra for the time-series of the “resting functional connectivity”. We believe this is important information, given what is known about these spectra for cortical resting activity.</p><p>Two further comments from review:</p><p>4) I am still confused as to how the seed voxel for each individual subject analysis in each gray matter horn was chosen. The authors nicely describe how this was done for the group analysis, but still give no information for the individual analyses.</p><p>5) The authors' new choice of threshold for the group analysis (previously: p &lt; 0.01, now: p &lt; 0.000001) seems to be a bit arbitrary. They could just use p &lt; 0.05 with Bonferroni or FDR correction for the number of tests (28 in this case). In my eyes, this would be a more appropriate and well-motivated threshold.</p><p>[Editors’ note: a previous version of this study was rejected after peer review, but the authors submitted for reconsideration. The previous decision letter after peer review is shown below.]</p><p>Thank you for choosing to send your work entitled “Resting state functional connectivity in the human spinal cord” for consideration at <italic>eLife</italic>. Your full submission has been evaluated by a Senior editor, 2 peer reviewers, and a member of our Board of Reviewing Editors (Timothy Behrens), and the decision was reached after discussions between the reviewers. We regret to inform you that we cannot offer to publish your work in <italic>eLife</italic> at this point.</p><p>In sum, we all agreed that the work was potentially of high interest, and that we would be in principle interested in publishing the work. However, we were compelled to reject the manuscript in its present form due to the unusually small size of the subject cohort, and doubts about the statistical robustness of some of the key results. We would like to emphasize that if you chose to significantly increase the cohort size, and performed some extra analyses, we would be happy to reconsider a new submission of the manuscript. In this case, it would not be subject to triage but would be reassigned to Tim Behrens, and it is highly likely he would consult the same reviewers (assuming they are willing).</p><p>Whilst we do not wish to prescribe precise requirement for cohort sizes at <italic>eLife</italic>, we draw your attention to work from, for example, Bertrand Thirion, which suggests that fMRI results in cortex begin to asymptote in terms of reproducibility at cohort sizes of approximately 20, and that those with cohort sizes of less than 10 were very unlikely to lead to reproducible results. It was the opinion of the reviewers that there is no reason why this would be different in spinal fMRI. The reviewers also had several suggestions to make the statistics more robust that you will see below. We do not wish to prescribe which of these approaches you choose to use, but if you chose to resubmit, we would certainly examine the statistical robustness of the new results with scrutiny.</p><p>The amalgamated comments of the reviews and the discussion between the reviewers can be found below:</p><p><italic>Praise for the paper</italic>:</p><p>This is a highly interesting study. It is not only the first proper resting-state fMRI study of the spinal cord, but it is also the first spinal fMRI study in general at 7T. The authors seem to have overcome the problems of spinal imaging at ultra-high fields and have obtained functional images of remarkable quality. They have also developed a very thorough processing pipeline for spinal fMRI at 7T, which will be of great interest to groups working on brainstem and spinal imaging. The manuscript is well written and their demonstration of resting-state networks in the spinal cord is of potentially high clinical interest for various motor and sensory disorders. However, the study also has several weaknesses that need to be addressed.</p><p>This is a very well written and significant paper from a prominent imaging group. The hypothesis has been clearly presented and the results and discussion very well reported and discussed.</p><p><italic>Comments on the data</italic>:</p><p>1) Why did they only scan such a low number of subjects (N=7; adding to the fact that there are only 150 scans per subject)?</p><p>2) The authors do not mention to what extent their various steps of data clean-up (removal of non-spine signals, motion correction, etc) decrease the noise in their time-series and thus allow reliable identification of resting-state networks. They should show the average spinal cord temporal signal to noise ratio before and after (each of) those steps.</p><p>3) It is unclear how the seed voxels for the individual analyses were chosen in each of the four spinal quadrants.</p><p>4) Their choice of threshold (p &lt; .001 uncorrected with a one-voxel extent threshold) seems to be extremely lenient and why do they use a different threshold (p &lt; .01) for the group analysis?</p><p>5) I am not sure about their combination of slices and subjects into one test - normally one would want to have one parameter estimate per subject in a group analysis that tests for one effect.</p><p>The results of the individual connectivity analyses need to be expanded.</p><p>1) They only show results for one subject and only for the right ventral horn. The very least the authors should do is to show the same subject with dorsal horn connectivity.</p><p>2) It would also be important to know (maybe in a supplemental table) how many subjects showed significant connectivity between the ventral (dorsal) horns, i.e. how reproducible this result is on a single subject level.</p><p>3) They do not quantify at all the levels of intra- vs. inter-segmental connectivity, which are both part of their hypotheses.</p><p>The group-level results appear very weak for the dorsal cord (i.e. Z-score of less than 1). I would suggest including only slices in the analysis that exceed a certain TSNR threshold.</p><p>Reliability in general: Because the spinal cord is susceptible to a number of factors including motion, CSF pulsation, it would be great if the authors could show some clear indication of the reliability of their result. It is possible that the data from the subject could be split into half and the correlation (that was estimated) could be reported for the 2 halves for similarity.</p><p><italic>Comments on the manuscript</italic>:</p><p>The introductory paragraph that contains the authors' hypotheses is very weak, due to several reasons. 1) The citation of nothing more than a 1000-page general neuroscience textbook for supporting their hypothesis of dorsal horn spontaneous activity is not appropriate. They should spell out the “anatomical connections” and “existence of central pattern generators” and support them with appropriate citations. To my knowledge, central pattern generators do not exist in the adult dorsal spinal cord, so I would like to know on which basis the authors expected dorsal resting-state networks. 2) Based on what evidence do they expect a) that correlations exist within “a vertebral level” (when the spinal cord is clearly not organized vertebrally but segmentally) and b) that correlations “within a given gray matter horn should be detectable along the cord”?</p><p>The discussion completely lacks an explanation of the possible physiological origin of spinal resting-state networks. Important concepts such as a) the level of spontaneous activity in the spinal cord, b) uni- vs. bilateral excitatory/inhibitory responses under tasks, and c) anatomical pathways providing a structural substrate for the observed functional connectivity are all lacking.</p></body></sub-article><sub-article article-type="reply" id="SA2"><front-stub><article-id pub-id-type="doi">10.7554/eLife.02812.016</article-id><title-group><article-title>Author response</article-title></title-group></front-stub><body><p><italic>We were impressed with the new cohort of subjects, and thought the manuscript substantially improved, but we still had several major technical issues with the data;</italic> <xref ref-type="fig" rid="fig4"><italic>Figure 4</italic></xref> <italic>in particular, that prevent us from recommending publication in the current form. I have summarised the reviews below. Both reviewers had major queries about the statistical treatment and data presentation. We hope that you will be able to address these comments in revision. We note that we regard the statistical issues detailed in points 1-3 below as essential</italic>.</p><p>We understand and agree with the concerns surrounding the statistical analyses in the previous <xref ref-type="fig" rid="fig4">Figure 4</xref> (now <xref ref-type="fig" rid="fig5">Figure 5</xref>), and believe that the current analyses properly address the issues of non-independence, correction for multiple comparisons, and reasonable thresholds for statistical significance. Since our previous resubmission we have also acquired data from 3 more subjects, so the current analyses are on a cohort of 22 healthy volunteers. We have also further refined the preprocessing pipeline by improving the select of a target volume for motion correction (step #4) and the motion correction itself (step #5).</p><p><italic>The issues surround the analyses in</italic> <xref ref-type="fig" rid="fig4"><italic>Figure 4</italic></xref>.</p><p><italic>1) The main result in (a) is a matrix of correlations, only some of which are shown (the others are zeroed if non-significant)</italic>.</p><p><italic>The reviewers had two major issues with this matrix</italic>:</p><p><italic>(a) “This figure indicates that the z-score for e.g. the upper-right 4x4 square is exactly zero (light blue color) for each of the 16 correlations. The authors state in their response that they just wanted to show significant correlations (and they thus set all the non-significant ones to zero), but in my opinion this is obscuring part of the results. In the hypothetical worst case, all of these 16 correlations might be just below significance, which would call into question the specificity of their results. I'm not at all trying to suggest that this is the case but I would guess that the readers would like to judge for themselves how convincing the data are and it is thus essential to show these correlations as well, especially since spinal fMRI is still regarded with some scepticism. I am aware that the authors supplied the data that underlie</italic> <xref ref-type="fig" rid="fig4"><italic>Figure 4</italic></xref><italic>, but I couldn't analyse them, as none of my browsers allowed a correct download of the .mat file</italic>.<italic>”</italic></p><p>We agree with this point, and the revised figure no longer zeros out non-significant correlations.</p><p><italic>But more importantly</italic>:</p><p><italic>(b) “Almost all the correlations that are expected to be zero include the white matter. It is frankly ridiculous to regress out the white matter signal in pre-processing, and then say that there is no functional correlation within white matter. This is surely guaranteed to be the case. Without the white matter squares though, this figure would be simply two numbers, which wouldn't make much of a figure</italic>.<italic>”</italic></p><p>White matter regression is important to suppress global signal changes that would otherwise obscure focal correlations, but it is also typically regarded as a somewhat controversial preprocessing step because it can alter connectivity patterns in the brain.</p><p>For this latter reason we felt that it is important to expand upon the topic of regressions via analyses of data processed with 11 additional permutations of preprocessing steps (presented as supplementary figures). These additional analyses revealed that there are in fact no significant temporal correlations between white and gray matter sub-regions before CSF regression, and white matter regression does not significantly affect the correlations between gray and white matter. However, we discovered that white matter regression does affect correlations within gray matter and within white matter, which we explain in the supplementary figure legends.</p><p><italic>The second set of important comments pertains to the group analysis in</italic> <xref ref-type="fig" rid="fig4"><italic>Figure 4b</italic></xref>.</p><p><italic>“The statistical tests in b are not sensible. All data are averaged across slices and subjects, artificially increasing degrees of freedom, reducing standard errors and leading to completely unreasonable p-values. This is clearly unreasonable. The correct analysis averages across slices within subject, and then performs the statistical test across subjects like any normal ROI-based analysis. There are several reasons why this analysis is not reasonable, but the most obvious is that the slices are not independent. Others include the fact that even if the slices were independent and heteroschedastically distributed, the nature of the random effect that would be inferred is not the population of individuals</italic>, <italic>but rather the population of slices”</italic></p><p><italic>And</italic>:</p><p><italic>“Despite the authors' arguments in their response, I still argue that it is not valid at the group level to test across slices and subjects. They should average across slices so that they test a set of 19 data-points (corresponding to the number of subjects) against zero, and not 228 (corresponding to the number of subjects times the number of slices), as they still do</italic>.<italic>”</italic></p><p><italic>After discussion, we would like to see the traditional analysis. If possible we would like to see the results of the simplest possible analysis which is a t-test on the first-level z-scores, as well as the non-parametric analysis proposed (but with the new slice averages, rather than the original slices)</italic>.</p><p>We agree with these comments and our new analyses average across slices for each subject before testing for statistical significance against zero. After discussions with the reviewing editor on the challenges of group-level analyses in the spinal cord, we have prepared a new <xref ref-type="fig" rid="fig4">Figure 4</xref> to present examples of representative single-voxel correlations across subjects.</p><p><italic>3) We think it very odd that</italic> <xref ref-type="fig" rid="fig4"><italic>Figure 4</italic></xref> <italic>does not contain any spatial or spectral evidence at the group level</italic>.</p><p><italic>(a) If possible, we would therefore like to see the group average spatial maps of the correlations for seed points in the 2 dorsal and 2 ventral horns. Again, the average should be performed within subject first, and then significance should be determined across subjects</italic>.</p><p><italic>(b) We would like to see the power spectra for the time-series of the “resting functional connectivity”. We believe this is important information, given what is known about these spectra for cortical resting activity</italic>.</p><p>We agree with these comments and now include power spectra for gray and white matter sub-regions as figure supplements 2, 4, and 6 for <xref ref-type="fig" rid="fig5">Figure 5</xref> (previously <xref ref-type="fig" rid="fig4">Figure 4</xref>).</p><p>Power spectra were naturally variable for individual sub-regions at a single-subject level because noise power reflects fluctuations from both extraneous sources (lower TSNR) as well as genuine low-frequency connectivity. Furthermore, unambiguously interpreting the spectrum of an individual time series is simply not possible because power from noise sources is aliased. Therefore, after much consideration we felt that it would be most meaningful to focus on the median group-level findings, which are interpretable to a degree even though the spectra are aliased. These results are indeed interesting and further strengthen this manuscript.</p><p><italic>Two further comments from review</italic>:</p><p><italic>4) I am still confused as to how the seed voxel for each individual subject analysis in each gray matter horn was chosen. The authors nicely describe how this was done for the group analysis, but still give no information for the individual analyses</italic>.</p><p>The individual subject analyses also used these eroded sub-regions. This has been clarified in the manuscript.</p><p><italic>5) The authors' new choice of threshold for the group analysis (previously: p &lt; 0.01, now: p &lt; 0.000001) seems to be a bit arbitrary. They could just use p &lt; 0.05 with Bonferroni or FDR correction for the number of tests (28 in this case). In my eyes, this would be a more appropriate and well-motivated threshold</italic>.</p><p>The group analyses now identify significance at a threshold of p &lt; 0.05 or p &lt; 0.01 with Bonferroni correction (# of tests = 28).</p><p>[Editors’ note: the author responses to the previous round of peer review follow.]</p><p>We thank the editors and reviewers for their constructive comments and suggestions that have improved this manuscript significantly. We are pleased that this work is viewed as potentially of high interest, that a referee confirms that this is the “first proper resting-state fMRI study of the spinal cord”, and that the editors state that eLife is in principle interested in publishing this work. We appreciate the opportunity to address the weaknesses of the original manuscript and submit a substantially revised version.</p><p>The decision letter highlights three major weaknesses as 1) the small size of the cohort, 2) the need for additional analyses, and 3) doubts about the statistical robustness of some of the results. The third weakness is also in part related to the first weakness. We have addressed these weaknesses as follows:</p><p>• <italic>Cohort size</italic>. Since the original submission in January, we have acquired resting state spinal fMRI data from a dozen more subjects. We processed these additional 12 data sets and combined the results with the previous 7 data sets, for an updated cohort of 19 healthy volunteers. If a sample size of approximately 20 should result in asymptotically reproducible results, then we believe that our new cohort of 19 subjects should provide robust results of functional connectivity.</p><p>• <italic>Additional analyses</italic>. Additional analyses were performed to measure temporal signal-to-noise ratio (TSNR) at two points along the processing pipeline: before and after the application of white matter and CSF “regressors of no interest”. We observed a 32% increase in mean TSNR between these two steps, demonstrating the importance of such regressors to characterize and remove structured noise sources.</p><p>• <italic>Statistical robustness of results</italic>. The threshold for statistical significance in the group analysis was decreased significantly (from p &lt; 0.01 to p &lt; 10<sup>-6</sup>), and with this threshold our findings of gray matter connectivity between ventral horns and between dorsal horns are essentially unchanged. Furthermore, the observation that we obtain nearly identical results with a subset of 7 subjects (from the original group analysis) as with all 19 subjects (from the revised group analysis) adds an additional degree of confidence because this shows that our findings are relatively consistent across subjects and not driven by only one or a few subjects.</p></body></sub-article></article>