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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Neurosci.</journal-id>
<journal-title>Frontiers in Neuroscience</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Neurosci.</abbrev-journal-title>
<issn pub-type="epub">1662-453X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fnins.2014.00068</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Neuroscience</subject>
<subj-group>
<subject>General Commentary Article</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Interpreting functional diffusion tensor imaging</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Autio</surname> <given-names>Joonas Arttu</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://community.frontiersin.org/people/u/111601"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Roberts</surname> <given-names>R. Edward</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://community.frontiersin.org/people/u/111507"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Medical Research Center Oulu, Oulu University Hospital and University of Oulu</institution> <country>Oulu, Finland</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Diagnostics, Faculty of Medicine, University of Oulu</institution> <country>Oulu, Finland</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Diagnostic Radiology, Oulu University Hospital</institution> <country>Oulu, Finland</country></aff>
<aff id="aff4"><sup>4</sup><institution>Division of Brain Sciences, Academic Department of Neuro-otology, Imperial College London, Charing Cross Hospital Campus</institution> <country>London, UK</country></aff>
<author-notes>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: <email>ed.roberts&#x00040;imperial.ac.uk</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Brain Imaging Methods, a section of the journal Frontiers in Neuroscience.</p></fn>
<fn fn-type="edited-by"><p>Edited by: Christopher W. Tyler, The Smith-Kettlewell Eye Research Institute, USA</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Robert F. Dougherty, Stanford University, USA</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>04</month>
<year>2014</year>
</pub-date>
<pub-date pub-type="collection">
<year>2014</year>
</pub-date>
<volume>8</volume>
<elocation-id>68</elocation-id>
<history>
<date date-type="received">
<day>20</day>
<month>12</month>
<year>2013</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>03</month>
<year>2014</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2014 Autio and Roberts.</copyright-statement>
<copyright-year>2014</copyright-year>
<license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/3.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<related-article id="RA1" related-article-type="commentary-article" journal-id="Front Hum Neurosci" journal-id-type="nlm-ta" vol="7" page="817" xlink:href="24409133" ext-link-type="pubmed">A commentary on <article-title>Functional diffusion tensor imaging at 3 tesla</article-title> by Mandl, R. C. W., Schnack, H. G., Zwiers, M. P., Kahn, R. S., and Hulshoff Pol, H. E. (2013). Front. Hum. Neurosci. 7:817. doi: 10.3389/fnhum.2013.00817</related-article>
<kwd-group>
<kwd>functional diffusion tensor imaging</kwd>
<kwd>fractional anisotropy</kwd>
<kwd>BOLD</kwd>
<kwd>MRI</kwd>
<kwd>behavior</kwd>
</kwd-group>
<counts>
<fig-count count="1"/>
<table-count count="0"/>
<equation-count count="1"/>
<ref-count count="16"/>
<page-count count="3"/>
<word-count count="1857"/>
</counts>
</article-meta>
</front>
<body>
<sec>
<title>Section</title>
<p>In this issue Mandl and colleagues replicated the findings of a previous study (Mandl et al., <xref ref-type="bibr" rid="B9">2008</xref>) in which they explored task-related changes in fractional anisotropy (FA) along white matter (WM) tracts using functional diffusion tensor imaging (fDTI). They report increased FA in WM of thalamocortical pathways during tactile stimulation and in the optic radiations during visual stimulation, while only minor changes in mean diffusivity (MD) and blood oxygenation level dependent (BOLD) contrast were observed. Mandl and colleagues suggest that fDTI might provide a novel window on previously inaccessible WM information transfer. These findings, in addition to a number of previous reports of changes in MD with close temporal proximity to behavioral stimuli, could have a significant impact on our understanding of brain function (Aso et al., <xref ref-type="bibr" rid="B2">2009</xref>; Baslow et al., <xref ref-type="bibr" rid="B3">2012</xref>). However, at the present time there has been no rigorous validation of the methodology or thorough explanation of the physiological basis for the effects (Miller et al., <xref ref-type="bibr" rid="B10">2007</xref>; Jin and Kim, <xref ref-type="bibr" rid="B7">2008</xref>; Yacoub et al., <xref ref-type="bibr" rid="B16">2008</xref>). In this commentary we discuss the possible explanations for the functional FA observations and how future studies could begin to explore these effects.</p>
<p>The most likely explanation for the observed increase in FA is that it reflects changes in the BOLD fMRI signal. It is well established that neuronal activation is associated with a decrease in the transverse relaxation rate (<italic>R</italic><sub>2</sub>), observed as an increase in the gray matter (GM) magnetic resonance signal (Ogawa et al., <xref ref-type="bibr" rid="B11">1990</xref>). In contrast, WM BOLD activation is a very rarely reported phenomenon. It follows that the relative GM/WM BOLD signal ratio is very likely to <italic>increase</italic> during a stimulus-induced positive BOLD period, and <italic>decrease</italic> during the post-stimulation negative BOLD period. Since GM and WM have different FA-values, a change in the relative GM/WM ratio may have an impact upon FA quantification. In contrast, since GM and WM have similar MD values, a change in the GM/WM ratio would probably not influence MD. However, the very small BOLD signal changes observed in this study would seem to suggest otherwise, but could be explained by the method of analysis. By taking into account voxels along the entire tract length, areas of WM proximal to GM regions at tract termination points might have been more strongly influenced by a GM BOLD effect than those in the main body of the tract.</p>
<p>To test this hypothesis we simulated the effect which a partial-volume of gray matter would have on parallel and transverse diffusivity using published parameters. Relaxation rates <italic>R</italic><sub>2</sub>_<italic>gm</italic> &#x0003D; 14.12 1/s, <italic>R</italic><sub>2</sub>_<italic>gm</italic><sub>activation</sub> &#x0003D; 14.00 1/s, and <italic>R</italic><sub>2</sub>_<italic>wm</italic> &#x0003D; 12.34 1/s; estimated from the relation <inline-formula><mml:math id="M1"><mml:mrow><mml:mi>&#x00394;</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>&#x02212;</mml:mo><mml:mfrac><mml:mrow><mml:mi>&#x00394;</mml:mi><mml:mi>S</mml:mi></mml:mrow><mml:mi>S</mml:mi></mml:mfrac><mml:mo>/</mml:mo><mml:mi>T</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:math></inline-formula> (Donahue et al., <xref ref-type="bibr" rid="B5">2006</xref>; Miller et al., <xref ref-type="bibr" rid="B10">2007</xref>); <italic>ADC</italic> values <italic>ADC<sub>gm</sub></italic> &#x0003D; 0.937 &#x0002A; 10<sup>&#x02212;3</sup> mm<sup>2</sup>/s, <italic>ADC<sub>wm</sub></italic>,<sub>parallel</sub> &#x0003D; 1.5&#x0002A;10<sup>&#x02212;3</sup> mm<sup>2</sup>/s, <italic>ADC</italic><sub><italic>wm</italic>,radial</sub> &#x0003D; 0.4&#x0002A;10<sup>&#x02212;3</sup> mm<sup>2</sup>/s (Kiselev and Il&#x00027;yasov, <xref ref-type="bibr" rid="B8">2007</xref>; Qiu et al., <xref ref-type="bibr" rid="B13">2008</xref>); Gray matter fraction (<italic>f<sub>gm</sub></italic>), White matter fraction (<italic>f<sub>wm</sub></italic> &#x0003D; 1 &#x02212; f<sub>gm</sub>), TE (78 ms) and <italic>b</italic>-value (1000 s/mm<sup>2</sup>) (Mandl et al., <xref ref-type="bibr" rid="B9">2008</xref>) using the equation below:</p>
<disp-formula id="E1"><mml:math id="M2"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mi>&#x00394;</mml:mi><mml:mi>S</mml:mi></mml:mrow><mml:mi>S</mml:mi></mml:mfrac><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x02217;</mml:mo><mml:mn>100</mml:mn><mml:mi>&#x00025;</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>&#x0200B;</mml:mtext><mml:mfrac><mml:mrow><mml:mtable><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>g</mml:mi><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:mi>T</mml:mi><mml:mi>E</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>A</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:mi>b</mml:mi><mml:mi>v</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>w</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>w</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:mi>T</mml:mi><mml:mi>E</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>A</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>w</mml:mi><mml:mi>m</mml:mi><mml:msubsup><mml:mo>,</mml:mo><mml:mrow><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:msub><mml:mtext>&#x0200B;&#x0200B;&#x0200B;&#x0200B;</mml:mtext><mml:mo>&#x000B7;</mml:mo><mml:mi>b</mml:mi><mml:mi>v</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mrow><mml:mtable><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>g</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:mi>T</mml:mi><mml:mi>E</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>A</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:mi>b</mml:mi><mml:mi>v</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>w</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>w</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:mi>T</mml:mi><mml:mi>E</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>A</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>w</mml:mi><mml:mi>m</mml:mi><mml:msubsup><mml:mo>,</mml:mo><mml:mrow><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:mi>b</mml:mi><mml:mi>v</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mfrac><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn><mml:mtext>&#x0200B;</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Figure <xref ref-type="fig" rid="F1">1</xref> illustrates that the signal changes are substantial even with modest 20% gray matter partial volumes, with a 0.28% increase in parallel diffusivity, 0.11% reduction in transverse, and BOLD change of 0.18%. This suggests that small BOLD changes could provide a physiological explanation for the changes observed. However, this possibility would still not explain the differences in observed time courses between the two stimulation types. Although changes in the GM BOLD signal would appear to be the most likely explanation, it is still unclear to what extent and precisely how this could impact on FA measurements in central white matter pathways.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>Simulated changes in parallel and transverse diffusivity signal and ADC as a function of percentage partial-volume with gray matter</bold>.</p></caption>
<graphic xlink:href="fnins-08-00068-g0001.tif"/>
</fig>
<p>A more technical consideration is the possible effect of image noise and partial volumes on FA quantification (Basser and Jones, <xref ref-type="bibr" rid="B4">2002</xref>; Rudrapatna et al., <xref ref-type="bibr" rid="B15">2012</xref>). At 2.5 &#x000D7; 2.5 &#x000D7; 7 mm<sup>3</sup> resolution, it is likely that several WM voxels could be contaminated with volumes of GM, even after using standardized white matter templates. Noise in MRI acquisitions is thought to cause an overestimation of FA in both isotropic and anisotropic structures (Pierpaoli and Basser, <xref ref-type="bibr" rid="B12">1996</xref>), and it is also well known that stimulation-evoked BOLD responses demonstrate substantial trial-to-trial fluctuations. Therefore, could the trial-to-trial BOLD response fluctuations impose an apparent increase in the MR noise level and cause a functional FA overestimation? Although a possibility, the very low BOLD signal changes indicate that this is unlikely. The specificity of the results to pathways previously associated with tactile or visual function, and the replication of prior results (Mandl et al., <xref ref-type="bibr" rid="B9">2008</xref>) suggest that partial volume or noise effects cannot fully explain these findings.</p>
<p>A final possibility is that FA increases may reflect activity-evoked glial swelling associated with increases in extracellular potassium levels (Ransom et al., <xref ref-type="bibr" rid="B14">1985</xref>). Such activity would predict an increase in Na<sup>&#x0002B;</sup>, K<sup>&#x02212;</sup>-ATPase utilization to recover post-activation transmembrane ion gradients, which in turn might translate into changes in vascular oxygenation levels. However, the extant evidence from BOLD fMRI and PET studies does not support a metabolic explanation for the observed effects. <italic>In vitro</italic> studies in the rat brain&#x02014;which are free from confounding vascular effects - show that massive depolarization and increases in metabolism have a minimal effect upon WM ADC quantification (Anderson et al., <xref ref-type="bibr" rid="B1">1996</xref>). Thus, the lack of convincing evidence for WM activation is in line with the emerging view that WM energy consumption is predominantly dedicated to non-signaling related ATP consumption and maintenance of resting potentials (Harris and Attwell, <xref ref-type="bibr" rid="B6">2012</xref>).</p>
<p>In order to advance the use of functional DTI, a more detailed exploration of the origin of the observed changes is vital. To describe the basic WM, GM, and CSF model, even when contributions from blood and <italic>R</italic><sub>2</sub> are excluded, requires 18 separate parameters (Basser and Jones, <xref ref-type="bibr" rid="B4">2002</xref>). This level of complexity sets significant limitations on the interpretation of a functional FA change, therefore we recommend caution when interpreting the origin of fDTI signals, as at the present time the picture is far from clear. Future investigations should: (1) exclude activated BOLD voxels from FA analyses to ameliorate the impact of possible BOLD or noise effects and (2) investigate the effect of hypercapnia on FA quantification in humans, since this is not associated with a substantial increase in neuronal information processing. Such experiments may help disentangle the impact of vascular effects upon functional FA quantification and extend our understanding of signal changes in WM using fDTI.</p>
<sec>
<title>Conflict of interest statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
</sec>
</body>
<back>
<ack>
<p>This work was partly funded by the UK Medical Research Council.</p>
</ack>
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