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Hi John,

Thanks for your detailed response and recommendations re: using DARTEL.

 From your response, I see that, because spatial normalization may  
not account for more fine-grain anatomical variations, differences in  
grey matter concentration may arise either due to misalignment or a  
real difference in the amount of regional grey matter.

Using Jacobian modulation corrects for this to some extent, but it  
depends on registration accuracy - the better the registration, the  
more accurately the modulated measure will represent the true volume.  
If you are investigating a patient group with a greater degree of  
variability in brain morphology than is seen in the normal  
population, the deformations will be more variable and potentially be  
less accurate. Thus, applying Jacobian modulation might reduce  
sensitivity for detecting group differences because the variance in  
the resulting modulate grey matter volume measures is increased.

In contrast, using unmodulated measures of grey matter concentration  
attempts to minimize this anatomical variability, and will therefore  
increase the likelihood of significant differences emerging, but it  
may be unclear whether this difference is due to misalignment or a  
true difference in the relative amount of grey matter.

If this is so, would it make sense to examine the deformation fields  
of each group to see if one group has greater variability in the same  
areas where differences are detected?

Thanks again,
Alex



At this stage, I am trying to get my head around why it might be  
harder to detect differences in modulated volume measures than  
traditional concentration measures.
To clarify your response:

> This is the nature of statistical testing.  There are definately  
> cases where
> the Jacobian correction may decrease sensitivity to differences.   
> Consider a
> situation where (for example) the hippocampal volume may be  
> correlated with
> the size of the temporal lobe in the general population, and the  
> registration
> is only using about 1000 parameters to roughly model the global  
> brain shape.
> By not correcting, you could be partially factoring out the effects of
> variations in temporal lobe volume.  The deformations can capture  
> larger
> temporal lobe volume differences, but not the finer differences in the
> hippocampi - so not modulating is a bit like a localised  
> proportional scaling
> correction.  This may increase your t-stats, but it makes a clear
> interpretation of the findings very difficult.


In VBM of grey matter concentration, the normalization may act in a  
manner that effectively partials out variance in local, yet  
reasonably large regional volumes. Following your example, within the  
temporal lobes, it might scale the hippocampus in a manner that  
reduced individual differences in temporal lobe volume; in the  
frontal lobes it may do the same with respect to a specific frontal  
sub-region (e.g., Broca's area). In this way, it might be akin to  
having a regionally specific covariates; e.g., when testing for  
differences in the hippocampus, variance due to temporal lobe volume  
is partialled out; when testing for differences in Broca's area,  
variance due to frontal lobes volume is partialled out; with the  
relationship between local and more diffuse variations being  
determined by the degrees of freedom and smoothing of the  
normalization algorithm. This is a somewhat simplified example, but I  
use it to try and get it clear in my head.

One limitation of this is that the normalization may not account for  
smaller anatomical variations, and resulting differences in grey  
matter concentration may be real, or due to misalignment.

With Jacobian modulated grey matter volume, this localized  
proportional scaling is absent


On 12/12/2007, at 2:38 AM, John Ashburner wrote:

>> I'm fairly new to VBM and am trying to get my head around differences
>> in testing for grey matter concentration or volume; specifically with
>> respect to why one would find a difference in concentration but not
>> volume in the same sample (as I have read in several papers).
>
> If you are just starting out, then it may be a good time to try out  
> the new
> DARTEL toolbox in SPM5.
>
> Segment: all the images to generate *_seg_sn.mat files.
> Dartel->Import: uses the *_seg_sn.mat files to generate rigidly  
> aligned GM and
> WM images.
> Dartel->Warp (create template): Uses the imported GM and WM images  
> to generate
> flow fields U_*.nii that can be used for mapping between images.
> Dartel_>Warp: Use the flow fields and imported GM/WM images to  
> generate more
> closely inter-subject aligned (spatially normalised - but to the  
> subjects
> average shape, rather than the MNI templates) modulated GM/WM.
> Smooth: by less than would be needed for the normal VBM preprocessing.
> Stats: for visualising the most significant differences.
>
> Note that the results are not in MNI space (although the tools are  
> all there
> that would allow you to warp them to MNI space via registering the  
> group
> averages with the MNI data - the Deformations Utility is useful  
> here for
> composing warps).
>
> From our experience in the FIL, we find that preprocessing with  
> DARTEL gives
> higher t-stats than the SPM5 segmentation.  We also didn't see as  
> much of the
> significant differences due to systematic misregistration (eg insula
> differences because one population has bigger ventricles than the  
> other).
> From the fact that we generally find a smaller number of more  
> significant
> focal differences, I would generally conclude that a greater  
> proportion of
> these are actually due to real volumetric differences.
>
>>
>>  From what I understand, the modulation step corrects signal
>> intensities for the volumetric contractions/expansions that occur
>> during spatial normalization, allowing absolute volume to be  
>> calculated.
>
> If the spatial normalisation and segmentation was extremely accurate
> (impossible in practice) then all the spatially normalised GM would be
> identical.  Sometimes it is interesting to examine the limitations  
> of the
> registration model, but normally it is more interesting to actually  
> examine
> volumetric differences by including a Jacobian transformation of  
> variables
> (modulation).  By analogy, it wouldn't make so much sense to model  
> data with
> a GLM or DCM, and report only t-test results applied to the  
> residual errors.
> This would only show where (in time)  the model didn't fit the data  
> so well.
>
>>
>> I had an initial thought that, because the modulated volume measure
>> is adjusted for the deformations that occur during normalization, a
>> failure to detect a grey matter volume difference between two groups
>> might arise if one group had more heterogeneous brain morphology than
>> the other. This heterogeneity would lead to higher variability in the
>> deformation fields required for normalization, and therefore, the
>> corrections applied during modulation. This would then increase the
>> variance of the resulting grey matter volume measures, affecting the
>> statistics.
>
> This is the nature of statistical testing.  There are definately  
> cases where
> the Jacobian correction may decrease sensitivity to differences.   
> Consider a
> situation where (for example) the hippocampal volume may be  
> correlated with
> the size of the temporal lobe in the general population, and the  
> registration
> is only using about 1000 parameters to roughly model the global  
> brain shape.
> By not correcting, you could be partially factoring out the effects of
> variations in temporal lobe volume.  The deformations can capture  
> larger
> temporal lobe volume differences, but not the finer differences in the
> hippocampi - so not modulating is a bit like a localised  
> proportional scaling
> correction.  This may increase your t-stats, but it makes a clear
> interpretation of the findings very difficult.
>
>
>>
>> I later thought that grey matter concentration should  still be
>> affected by this heterogeneity, given that it is  calculated after
>> spatial normalization and should therefore be affeted by variability
>> in deformation fields. However, I  noticed on a previous posting made
>> by John that he states "With different levels of registration
>> accuracy, there is a continuum between testing for GM volume
>> differences from the Jacobian determinants through to testing GM
>> volume differences purely from the conventional VBM point of view".
>
> The continuum is about ensuring that the volumes of tissue computed  
> from each
> structure remain the same.  For example, if you integrate the  
> intensities in
> a native-space GM image, then you obtain the same estimate as you  
> would if
> you integrate over a spatially normalised and modulated (Jacobian  
> corrected)
> GM image.  If spatial normalisation is less precise, then you need  
> more
> smoothing to replicate similar values in the smoothed, modulated,  
> GM images,
> but the data essentially all try to represent the volume of  
> tissue.  In my
> view, the more accurate the preprocessing model, then the more easy it
> becomes to interpret the results, and the less smoothing is needed to
> blur-out the effects of misalignment.
>
> Best regards,
> -John

Alex Fornito
JN Peters Research Fellow
Melbourne Neuropsychiatry Centre
Department of Psychiatry
The University of Melbourne

Postal address:
Melbourne Neuropsychiatry Centre
National Neuroscience Facility
Levels 2 & 3, 161 Barry St
Carlton South Vic 3053 Australia

Ph:	  +61 3 8344 1861
Fax:  +61 3 9348 0469

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