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Neurology logoLink to Neurology
. 2011 Jan 11;76(2):179–186. doi: 10.1212/WNL.0b013e318206ca61

Longitudinal changes in diffusion tensor–based quantitative MRI in multiple sclerosis

DM Harrison 1,, BS Caffo 1, N Shiee 1, JAD Farrell 1, P-L Bazin 1, SK Farrell 1, JN Ratchford 1, PA Calabresi 1, DS Reich 1
PMCID: PMC3030233  PMID: 21220722

Abstract

Objective:

To estimate longitudinal changes in a quantitative whole-brain and tract-specific MRI study of multiple sclerosis (MS), with the intent of assessing the feasibility of this approach in clinical trials.

Methods:

A total of 78 individuals with MS underwent a median of 3 scans over 2 years. Diffusion tensor imaging indices, magnetization transfer ratio, and T2 relaxation time were analyzed in supratentorial brain, corpus callosum, optic radiations, and corticospinal tracts by atlas-based tractography. Linear mixed-effect models estimated annualized rates of change for each index, and sample size estimates for potential clinical trials were determined.

Results:

There were significant changes over time in fractional anisotropy and perpendicular diffusivity in the supratentorial brain and corpus callosum, mean diffusivity in the supratentorial brain, and magnetization transfer ratio in all areas studied. Changes were most rapid in the corpus callosum, where fractional anisotropy decreased 1.7% per year, perpendicular diffusivity increased 1.2% per year, and magnetization transfer ratio decreased 0.9% per year. The T2 relaxation time changed more rapidly than diffusion tensor imaging indices and magnetization transfer ratio but had higher within-participant variability. Magnetization transfer ratio in the corpus callosum and supratentorial brain declined at an accelerated rate in progressive MS relative to relapsing-remitting MS. Power analysis yielded reasonable sample sizes (on the order of 40 participants per arm or fewer) for 1- or 2-year trials.

Conclusions:

Longitudinal changes in whole-brain and tract-specific diffusion tensor imaging indices and magnetization transfer ratio can be reliably quantified, suggesting that small clinical trials using these outcome measures are feasible.


Although visualization of inflammatory lesions by MRI is currently the mainstay of diagnosis and treatment effect monitoring in multiple sclerosis (MS), it has become increasingly clear that measuring lesion load captures only part of MS-related pathology. Diffusion tensor imaging (DTI) and magnetization transfer–weighted imaging may provide additional information about tissue damage and treatment response in MS. Quantification of the coherence and magnitude of water diffusion within axonal tracts by DTI, and of tissue macromolecular integrity by means of the magnetization transfer ratio (MTR), may be more specific for certain types of tissue injury (particularly demyelination and axonal degeneration) than measurements of the T2 relaxation time.14 Indeed, these quantities, when assessed in a tract-specific manner, are correlated with disability related to that tract's function.58 Thus, quantitative DTI and MTR may increase the diagnostic and prognostic power of MRI in MS.9

Before integrating these techniques into clinical trials and clinical practice, longitudinal studies are needed to establish expected magnitudes and rates of change over time. Few studies have performed such an analysis, and those that have were limited by small sample sizes.10 In this article, we present the results of a longitudinal analysis of DTI indices, MTR, and quantitative T2 (qT2). Our primary hypothesis was that quantitative measurement of MRI abnormalities in white matter tracts change at a rate comparable to brain volume loss. Additionally, we aimed to show that with automated and optimized methodologies, alterations of these rates of change could be measured with sample sizes practical for future clinical studies.

METHODS

Standard protocol approvals and patient consents.

Protocols were approved by the Institutional Review Boards at The Johns Hopkins University School of Medicine and the Kennedy Krieger Institute. Written, informed consent was obtained from all participants.

Participants.

Participants with MS were recruited from the Johns Hopkins Multiple Sclerosis Center. Individuals with diagnoses of relapsing-remitting (RRMS), secondary progressive (SPMS), and primary progressive (PPMS) MS were enrolled, with the diagnosis being assigned by the treating physician. Data were collected from March 2004 through July 2009. Scans performed within 30 days of a clinical relapse or steroid administration were excluded.

MRI protocol and image analysis.

Scans were obtained at baseline and roughly 3 months (RRMS only), 6 months, 1 year, and yearly thereafter. Due to participant dropout and missed visits, some of the planned study scans were not obtained. Our MRI acquisition protocol has been fully described elsewhere, and only the essential details are presented here.11,12 On a 3-Tesla Philips scanner, we obtained the following whole-brain sequences at the specified acquired resolution without gaps: DTI (2.2 mm isotropic); magnetization transfer (1.5 × 1.5 × 2.2 mm); proton density/T2-weighted and fluid-attenuated inversion recovery (FLAIR) (0.8 × 0.8 × 2.2 mm or 4.4 mm for some of the FLAIR scans); and 3-dimensional magnetization-prepared rapid gradient echo (MPRAGE) (1.1 mm isotropic).

The details of our image-analysis protocol have been described.11,12 In brief, MTR and estimated T2-relaxation time (qT2) maps were calculated from the appropriate image sources. The MTR, qT2, and diffusion-weighted images were coregistered, and the diffusion tensor was estimated to generate maps of fractional anisotropy (FA), mean diffusivity (MD), parallel diffusivity (λ), and perpendicular diffusivity (λ). Tract-specific values for each of these MRI indices were calculated across the optic radiations, corticospinal tracts, and corpus callosum in an automated fashion by linearly registering the data to a DTI atlas containing probabilistic maps of the tract positions,11 removing voxels with low FA (to exclude gray matter and some lesions), and then taking the weighted average over all voxels within the tract of interest. For the corticospinal tracts and optic radiations, data from the right and left sides were averaged.

The DTI data were also used to perform supratentorial brain analyses as described previously.12 We restricted our analysis to Montreal Neurological Institute (MNI-152) coordinates 54 ≤ z ≤ 124, which corresponds to the mammillary bodies inferiorly and the centrum semiovale superiorly. We removed a small section of the anterior frontal lobes (y ≤37) that is particularly susceptible to distortion on the DTI scans, and we also removed CSF by excluding voxels with MD ≥1.7 μm2/ms. The resulting brain-parenchymal mask was used to calculate median values of the individual MRI indices and to calculate the cerebral volume fraction (CVFDTI = [brain volume]/[brain + CSF volume]).

We used the Lesion-TOADS algorithm13 (http://medic.rad.jhmi.edu/download) for automated segmentation of lesions and for a second measure of CVF (referred to as CVFTOADS). This segmentation uses the MPRAGE and FLAIR scans and accounts specifically for MS lesions; its performance compares well to that of a trained observer.13 The T2 lesion masks obtained by this algorithm were linearly registered to the tractography atlas, allowing measurement of each MRI index within and outside lesions. In addition to the calculation of CVFTOADS, we also calculated CVFSIENAX from the MPRAGE images using SIENAX software,14 which has been previously studied in the context of sample size measurement for trials using atrophy as a primary outcome.15

Statistical analysis.

All statistical analyses were performed in Stata 10.1 IC (StataCorp, College Station, TX). Comparisons between subgroups for baseline demographic, clinical, and MRI data were performed by Student t test (means) and Wilcoxon/Mann-Whitney test (medians). Because of the exploratory nature of this study, adjustment for multiple comparisons was not performed. Subtle data shifts were noted to have occurred due to the inevitable hardware upgrades and repairs to our MRI scanner during the 5-year study period. To adjust for this, a statistical detrending procedure was performed, which is described in appendix e-1 on the Neurology® Web site at www.neurology.org.

The adjusted values were then analyzed for longitudinal change by a linear mixed-model approach (appendix e-1).16 The final regression model tested for prediction of the natural log of each MRI index by time from baseline, adjusted for age and sex. Annualized rates of change (% per year) in individual MRI indices were derived by exponentiation of the regression slope given by the fixed-effects coefficient for time from baseline. MS-subtype comparisons in both intercept and slope were performed within this regression model via interaction term analysis. The same regression analysis was also performed for the log of the ratio of MRI index values in normal-appearing white matter (NAWM) to each region with lesions included, which indirectly tested for the null hypothesis that the slopes of each are equivalent (meaning there is no difference between changes in NAWM vs NAWM + lesions).

To assess whether these MRI indices can be used as clinical trial outcome measures, sample sizes were calculated. The random effects regression results entered into a sample-size calculation formula for longitudinal studies (appendix e-1).17 Sample sizes were determined for hypothetical trials of drugs that would cause 25%, 50%, or 75% improvement in the annualized rate of change in each MRI index.

RESULTS

Data from 78 individuals with MS were included (table 1). As expected, participants with SPMS and PPMS were older and had higher baseline EDSS. The number of scans per participant was equivalent across subgroups (median 3, range 2–6). The median length of follow up was 2.0 years (range 0.5–4.1). A total of 64% of subjects were on various disease-modifying drugs at baseline, including interferon-β (58%), glatiramer acetate (26%), natalizumab (6%), and others (10%).

Table 1.

Study population characteristics

graphic file with name znl00211-8406-t01.jpg

Abbreviations: EDSS = Expanded Disability Status Scale; MS = multiple sclerosis; PPMS = primary progressive multiple sclerosis; RRMS = relapsing-remitting multiple sclerosis; SPMS = secondary progressive multiple sclerosis.

a

p < 0.05 for comparison to RRMS.

b

p < 0.05 for comparison to SPMS.

Summary statistics for the tract-specific and cerebral MRI indices are shown in table 2, and sample FA, MTR, and qT2 maps with overlaid tracts for a single individual with RRMS are presented in figure e-1. Values across the whole region of interest (tract or cerebrum) were not significantly different from those in the NAWM alone for either this analysis or for the longitudinal regression modeling described below, so the results reported are those for unsegmented tracts (including both NAWM and lesions).

Table 2.

Annualized rate of change in MRI indices

graphic file with name znl00211-8406-t02.jpg

Abbreviations: %= percent per year change (95% confidence interval in parentheses); ρμ = rho value for correlation of measurements within participants; σε = the natural log of the average within-participant standard deviation of measurement error for the MRI index; λ = parallel diffusivity (μm2/ms); λ = perpendicular diffusivity (μm2/ms); CVFDTI = cerebral volume fraction calculated from DTI data; CVFSIENAX = cerebral volume fraction by SIENAX methodology; CVFTOADS = cerebral volume fraction by lesion-TOADS methodology; FA = fractional anisotropy; MD = mean diffusivity (μm2/ms); MTR = magnetization transfer ratio; qT2 = T2 relaxation time (ms); vt0 = value of the MRI index at baseline (standard deviation in parentheses).

*

p < 0.05 for linear rate of change detected by mixed models regression.

Annual rates of change (% per year) are reported in table 2. All significant changes were in the expected direction—that is, MD, λ, and qT2 increased, whereas FA, MTR, and CVF decreased. Of the DTI indices, supratentorial brain values of FA, MD, and λ were found to change at comparable rates, whereas λ showed no significant change over time. Tract-specific DTI indices did not change consistently in the corticospinal tracts or optic radiations. However, corpus callosum FA decreased at a rate of 1.7% per year (figure 1), and λ increased at a rate of 1.2% per year. Repeated, longitudinal measurements of whole-brain and corpus callosum DTI indices were highly reproducible, and within-participant measurement correlations were ≥0.83.

Figure 1. Longitudinal change in fractional anisotropy (FA) and magnetization transfer ratio (MTR) in the corpus callosum.

Figure 1

Spaghetti plots demonstrate longitudinal changes in FA (A) and MTR (C) in the corpus callosum within individuals. Cross-participant mean FA (B) and MTR (D) values at yearly intervals from baseline demonstrate longitudinal decline in the measured values. Error bars represent 95% confidence intervals. Larger error bars in the year 3 results probably reflect smaller sample sizes.

Estimated qT2 also measurably changed over time in the supratentorial brain analysis and within the corpus callosum and optic radiations. These changes occurred at a faster rate than for DTI indices (for example, 2.0% per year for supratentorial qT2). However, within-participant qT2 had poor reproducibility, such that within-participant correlations were as low as 0.26. Of all indices tested, only MTR had measureable longitudinal changes in all areas studied. When evaluated in supratentorial brain and corpus callosum, this occurred at slightly slower rates than for FA and λ. There was no longitudinal brain atrophy as assessed by CVFSIENAX, likely due to high within-participant scan-to-scan variability (within-participant correlation value = 0.38). Conversely, CVFTOADS decreased 0.2% per year, and CVFDTI decreased 0.3% per year.

There were no significant differences in baseline MRI indices across MS subtype, nor were there generally differences in rates of change in MRI indices over time. The few exceptions to this are noted in table 3. Of note, for the DTI indices and qT2 measurements with significant changes in the whole study population (as reported in table 2), rates of change did not differ across MS subtype. However, the changes observed in MTR appear to be primarily driven by changes occurring in the progressive subtypes. Specifically, whole-brain MTR had no observable change in RRMS but a 0.7% per year decline in SPMS. Corpus callosum MTR maintained a significant rate of decline in subjects with RRMS (0.6% per year) but declined faster in subjects with PPMS (1.8% per year). Also, whereas no changes were observed in λ in the larger cohort, this index decreased at a rate of 0.9% per year in SPMS but did not change in RRMS. Finally, the changes noted in CVFDTI appear to have been driven mostly by a faster rate of decline in RRMS (0.6% per year).

Table 3.

Result of MS subtype analysis for annualized rate of changea

graphic file with name znl00211-8406-t03.jpg

Abbreviations: λ = parallel diffusivity (μm2/ms); CVFDTI = cerebral volume fraction calculated from DTI data; FA = fractional anisotropy; MS = multiple sclerosis; MTR = magnetization transfer ratio; PPMS = primary progressive multiple sclerosis; qT2 = T2 relaxation time (ms); RRMS = relapsing-remitting multiple sclerosis; SPMS = secondary progressive multiple sclerosis.

a

Only those differences that attained statistical significance are shown here.

b

p < 0.05 for subgroup linear rate of change over time.

c

p < 0.05 for comparison to RRMS.

d

p < 0.05 for comparison to SPMS.

Sample sizes were calculated for trials of hypothetical drugs that would reduce the observed rates of change. Table 4shows the number of participants per trial arm needed to reduce the observed rate of change by 25%, 50%, or 75% over the course of a 12- or 24-month trial (each with 3 scans), with 80% power. In addition to the length of study and the magnitude of the rate of change, within-participant variability had a large impact on the sample sizes required for a given effect size. For example, despite the fact that qT2 was found to change at rates 2 to 4 times greater than DTI indices, higher within-participant variability in qT2 resulted in sample sizes that would make it an impractical outcome measure.

Table 4.

Proposed sample sizes (n per trial arm) for hypothetical 1- or 2-year clinical trials using the tested MRI indices as outcome measuresa

graphic file with name znl00211-8406-t04.jpg

Abbreviations: λ = perpendicular diffusivity (μm2/ms); CVFDTI = cerebral volume fraction calculated from DTI data; CVFTOADS = cerebral volume fraction by lesion-TOADS methodology; FA = fractional anisotropy; MD = mean diffusivity (μm2/ms); MTR = magnetization transfer ratio; qT2 = T2 relaxation time (ms).

a

Only those indices showing significant rates of change in longitudinal analysis are shown here. The calculations above are for 80% power and 2-sided α = 0.05.

Conversely, the lower variability in DTI indices yielded very small sample sizes. For example, a 2-year study with FA and λ of the corpus callosum as outcome measures would only require sample sizes of 7 and 43 per trial arm, respectively, for a 50% reduction in the observed rate of change. Notably, CVFDTI also yielded small sample sizes, with only 14 subjects per trial arm needed to observe a 50% treatment effect in a 2-year study. Treatment effect manifested by reduction in the rate of decrease in MTR in the corpus callosum and optic radiations also demonstrated feasible sample size requirements, whereas supratentorial brain and corticospinal tract MTR did not.

DISCUSSION

In order for experimental imaging techniques to be considered as outcome measures for clinical trials, they must be sensitive to change over time. Our results clearly demonstrate that longitudinal changes in supratentorial brain and tract-specific DTI indices, MTR, and qT2 are detectable and yield reasonable sample sizes for potential clinical trials. Although the lack of a matched healthy volunteer group makes it impossible to say whether these changes are accentuated in MS, the fact that previous work on this cohort has established links between the imaging measures used in this study and disability, as well as differences between people with MS and healthy volunteers, suggests that this is probably the case.12,18,19 Further work in our group will be devoted to understanding whether these tract-specific longitudinal changes are linked with longitudinal changes in disability related to the functions of those tracts.

Of the MRI indices we studied, the ones that changed most reliably over the course of the study period were supratentorial and corpus callosum FA and λ as well as supratentorial and tract-specific MTR. There were also changes in supratentorial and tract-specific qT2, but these changes were associated with high variability. The variability may be partially due to imperfect registration to the DTI images, a problem less likely to affect MTR because of the echoplanar imaging technique we used for both MTR and DTI scans.11 Most of the DTI and MTR changes occurred at rates comparable to brain atrophy, but the rate was considerably higher in the corpus callosum.

The DTI findings contrast with the lack of longitudinal change noted in some prior studies10,20 but are consistent with a longitudinal trend in a small sample of RRMS and SPMS in at least one study.21 Compared to earlier studies, we enrolled more individuals and scanned them more frequently, which increased our statistical power. Previous evaluations were also limited to histogram-based, whole-brain analyses or limited regions of interest. Although we also used supratentorial brain summary measures, we found larger longitudinal changes when we focused the analysis on specific white matter tracts, notably the corpus callosum. Such tract-specific measures may be better markers of longitudinal white matter change and, because tracts have specific functions, they may also be more predictive of clinical disability. It is not surprising that the greatest changes occurred in the corpus callosum, given its frequent involvement in MS and its highly organized fiber orientation structure, which makes it a good target for DTI.

A possible confound in our analysis was that many of the participants with MS (64% at baseline) were taking disease-modifying drugs, and in some cases drugs were changed during the course of the study. Although we did not include MRI scans performed within 30 days of corticosteroid administration, treatment status might have affected the results by reducing not only the absolute change over time but also the across-participant variability, the key factor in determining sample size. This effect is somewhat mitigated by the fact that a variety of disease-modifying treatments were represented. In addition, as placebo-controlled trials in MS (particularly early MS) are becoming less common, we believe that assessment of typical rates of longitudinal change in a treated population has practical value.

Our analysis was aided by the use of an automated, atlas-based method for defining tracts. In previous work, we showed that this method has significantly lower scan-rescan variability than conventional deterministic tractography but yields similar correlations with disability scores.11 Moreover, the atlas-based method eliminates tractography failures in and around lesions. The low variability of this method was clearly seen in the current study, enabling us to detect small changes over time. These small changes translated into the small sample sizes that we found necessary to demonstrate treatment effects, especially for DTI indices and MTR within the corpus callosum. These sample sizes are similar to, if not smaller than, those previously proposed for brain atrophy as a clinical trial outcome measure.22 Thus, when considering application of DTI-based quantitative analysis on a large scale, such as in a clinical trial, this methodology, with its automated analyses and high reproducibility, has distinct advantages.

Interestingly, comparing various methods of measuring normalized brain volume, we found that CVFDTI yielded the smallest sample sizes. To our knowledge, DTI-based measurement of brain volume has not been previously investigated. This result is particularly surprising because DTI data suffer from distortions related to magnetic susceptibility and eddy currents, which one might expect not only to reduce accuracy but also to increase variability. Although we did not undertake a formal investigation into the reasons for the superior reliability of DTI-based brain volume measurement, we suspect that the reasons may include improved contrast between cerebral and extracerebral structures, such as CSF. Before urging adoption of DTI-based brain volume measurement in longitudinal trials, however, we note that the technique suffers from a limited ability to separate gray from white matter.

Another finding warranting future investigation is the result of the subgroup analyses. While no significant longitudinal changes in λ were found for the group as a whole, this index was found to decrease significantly over time in the corpus callosum in SPMS. The meaning of this is unclear, given that λ has only been shown to decrease in the acute phase of axonal degeneration,3,23 but not in the chronic setting. We note, however, that interpretation of directional diffusivity in the face of disease remains complicated.24 The accelerated decline in supratentorial brain and corpus callosum MTR in progressive MS may have the same basis, as MTR is clearly sensitive to axonal loss as well as demyelination.25 The accelerated rate of atrophy measured by CVFDTI in RRMS compared to SPMS is also a curious result, as it contradicts previous findings of similar rates of whole brain and white matter atrophy in RRMS and SPMS.26 However, this could be potentially explained by pseudoatrophy in study participants who went on or changed their disease-modifying therapy during the study period.

The methods used in this study could easily be applied in clinical trials due to the fully automated analysis as well as the small sample sizes that are required to demonstrate treatment effects. Of course, applying such a precise quantitative methodology to a multicenter trial would require that great care be taken to ensure standardization in acquisition and analysis between all sites. We are planning future studies to evaluate combining these indices into composite measures, increasing sensitivity by means of nonlinear registration, and predicting long-term changes in disability.

Supplementary Material

Data Supplement

Supplemental data at www.neurology.org

DTI
diffusion tensor imaging
FA
fractional anisotropy
FLAIR
fluid-attenuated inversion recovery
MD
mean diffusivity
MNI
Montreal Neurological Institute
MPRAGE
magnetization-prepared rapid gradient echo
MS
multiple sclerosis
MTR
magnetization transfer ratio
NAWM
normal-appearing white matter
PPMS
primary progressive multiple sclerosis
qT2
quantitative T2
RRMS
relapsing-remitting multiple sclerosis
SPMS
secondary progressive multiple sclerosis

AUTHOR CONTRIBUTIONS

Statistical analysis was conducted by Dr. Daniel M. Harrison, with guidance by Dr. Brian S. Caffo.

DISCLOSURE

Dr. Harrison has received support from a Partners Multiple Sclerosis Center Clinical Research Training Fellowship Award and from Bayer Schering Pharma. Dr. Caffo receives support from Sapphire Consulting, Creative Business Strategies International, and the NIH. N. Shiee, Dr. Farrell, Dr. Bazin, and S.K. Farrell report no disclosures. Dr. Ratchford serves as a consultant for Sun Pharmaceutical Industries Ltd.; receives research support from Novartis and Biogen Idec; has received support from a Partners Multiple Sclerosis Clinical Research Training Fellowship Award; and holds stock in Merck & Co., Inc. Dr. Calabresi serves on scientific advisory boards for Biogen Idec, Teva Pharmaceutical Industries Ltd., Vertex Pharmaceuticals, and Novartis; has received funding for travel from Biogen Idec, Teva Pharmaceutical Industries Ltd., Vertex Pharmaceuticals, EMD Serono, Inc., Novartis, and Novo Nordisk; serves on the editorial board of Neurology®; is an author on a patent re: Role of Kv1.3 as neuroprotective; serves/has served as a consultant for Biogen Idec, Teva Pharmaceutical Industries Ltd., Vertex Pharmaceuticals, Novartis, Amplimmune, Inc., Centocor Ortho Biotech Inc. DioGenix, Inc., and Eisai Inc.; and receives research support from Vertex Pharmaceuticals, Bayer Schering Pharma, EMD Serono, Inc., Teva Pharmaceutical Industries Ltd., Genentech, Inc., Biogen Idec, the NIH, and the National Multiple Sclerosis Society. Dr. Reich has received a speaker honorarium from Teva Pharmaceutical Industries Ltd. and has received research support from the Extramural and Intramural Research Programs of the NINDS.

REFERENCES

  • 1. Basser PJ, Pierpaoli C. Microstructural and physiological features of tissues elucidated by quantitative diffusion-tensor MRI. J Magn Reson B 1996;111:209–219 [DOI] [PubMed] [Google Scholar]
  • 2. Pierpaoli C, Jezzard P, Basser PJ, et al. Diffusion tensor MR imaging of the human brain. Radiology 1996;201:637–648 [DOI] [PubMed] [Google Scholar]
  • 3. Zhang J, Jones M, DeBoy C, et al. Diffusion tensor magnetic resonance imaging of Wallerian degeneration in rat spinal cord after dorsal root axotomy. J Neurosci 2009;29:3160–3171 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 4. Filippi M, Rocca MA. Magnetization transfer magnetic resonance imaging in the assessment of neurological diseases. J Neuroimaging 2004;14:303–313 [DOI] [PubMed] [Google Scholar]
  • 5. Wilson M, Tench CR, Morgan PS, et al. Pyramidal tract mapping by diffusion tensor magnetic resonance imaging in multiple sclerosis: improving correlations with disability. J Neurol Neurosurg Psychiatry 2003;74:203–207 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 6. Reich DS, Zackowski KM, Gordon-Lipkin EM, et al. Corticospinal tract abnormalities are associated with weakness in multiple sclerosis. Am J Neuroradiol 2008;29:333–339 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 7. Lin X, Tench CR, Morgan PS, et al. Use of combined conventional and quantitative MRI to quantify pathology related to cognitive impairment in multiple sclerosis. J Neurol Neurosurg Psychiatry 2008;29:437–441 [DOI] [PubMed] [Google Scholar]
  • 8. Agosta F, Rovaris M, Pagani E, et al. Magnetization transfer MRI metrics predict accumulation of disability 8 years later in patients with multiple sclerosis. Brain 2006;129:2620–2627 [DOI] [PubMed] [Google Scholar]
  • 9. Fink F, Klein J, Lanz M, et al. Comparison of diffusion tensor-based tractography and quantified brain atrophy for analyzing demyelination and axonal loss in MS. J Neuroimaging 2009;20:1–11 [DOI] [PubMed] [Google Scholar]
  • 10. Rashid W, Hadjiprocopis A, Davies G, et al. Longitudinal evaluation of clinically early relapsing-remitting multiple sclerosis with diffusion tensor imaging. J Neurol 2008;255:390–397 [DOI] [PubMed] [Google Scholar]
  • 11. Reich DS, Ozturk A, Calabresi PA, Mori S. Automated vs. conventional tractography in multiple sclerosis: variability and correlation with disability. Neuroimage 2010;49:1524–1535 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 12. Ozturk A, Smith SA, Gordon-Lipkin EM, et al. MRI of the corpus callosum in multiple sclerosis: association with disability. Mult Scler 2010;16:166–177 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 13. Shiee N, Bazin PL, Reich DS, Pham DL. A topology preserving approach to the segmentation of brain images with multiple sclerosis lesions. Neuroimage 2010;49:1524–1535 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 14. Smith SM, Zhang Y, Jenkinson M, et al. Accurate, robust and automated longitudinal and cross-sectional brain change analysis. NeuroImage 2002;17:479–489 [DOI] [PubMed] [Google Scholar]
  • 15. Altmann DR, Jasperse B, Barkhof F, et al. Sample sizes for brain atrophy outcomes in trials for secondary progressive multiple sclerosis. Neurology 2009;72:595–601 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 16. Laird NM, Ware JH. Random-effects models for longitudinal data. Biometrics 1982;38:963–974 [PubMed] [Google Scholar]
  • 17. Diggle P, Heagerty P, Liang K-Y, Zeger S. Analysis of Longitudinal Data, 2nd ed. New York: Oxford University Press; 2002 [Google Scholar]
  • 18. Reich DS, Smith SA, Jones CK, et al. Quantitative characterization of the corticospinal tract at 3T. AJNR Am J Neuroradiol 2006;27:2168–2178 [PMC free article] [PubMed] [Google Scholar]
  • 19. Reich DS, Smith SA, Gordon-Lipkin EM, et al. Damage to the optic radiation in multiple sclerosis is associated with retinal injury and visual disability. Arch Neurol 2009;66:998–1006 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 20. Giorgio A, Palace J, Johansen-Berg H, et al. Relationships of brain white matter microstructure with clinical and MRI measures in relapsing-remitting multiple sclerosis. J Magn Reson Imaging 2010;31:309–316 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 21. Cassol E, Ranjeva J-P, Ibarrola D, et al. Diffusion tensor imaging in multiple sclerosis: a tool for monitoring changes in normal-appearing white matter. Mult Scler 2004;10:188–196 [DOI] [PubMed] [Google Scholar]
  • 22. Anderson VM, Bartlett JW, Fox NC, Fisniku L, Miller DH. Detecting treatment effects on brain atrophy in relapsing remitting multiple sclerosis: sample size estimates. J Neurol 2007;254:1588–1594 [DOI] [PubMed] [Google Scholar]
  • 23. Farrell JA, Zhang J, Jones MV, et al. Q-space and conventional diffusion imaging of axon and myelin damage in the rat spinal cord after axotomy. Magn Reson Med 2010;63:1323–1335 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 24. Wheeler-Kingshott CA, Cercignani M. About “axial” and “radial” diffusivities. Magn Reson Med 2009;61:1255–1260 [DOI] [PubMed] [Google Scholar]
  • 25. Schmierer K, Tozer DJ, Scaravilli F, et al. Quantitative magnetization transfer imaging in postmortem multiple sclerosis brain. J Magn Reson Imaging 2007;26:41–51 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 26. Fisher E, Lee JC, Nakamura K, Rudick RA. Gray matter atrophy in multiple sclerosis: a longitudinal study. Ann Neurol 2008;64:255–265 [DOI] [PubMed] [Google Scholar]

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