2009 WinawerDoughertyWandell: Difference between revisions

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Back to [[Psych204-Projects-2009 |Psych 204 Projects 2009]]
Back to [[Psych204-Projects-2009 |Psych 204 Projects 2009]]


= Project Title - Retinotopic maps in MNI space =
 
Much of the visual cortex is organized into visual field maps: nearby neurons have receptive fields at nearby locations in the image. These maps are usually identified in individual subjects. The precise location of each map may be different in different brains. For this project, we asked how the quality of the maps would compare using (a) standard retinoptic methods on individual brains or (b) group-averaged brains projected into MNI space.
 
<br>
 


= Background =
= Background =
== Retinotopic maps ==
 
You can use subsections if you like.  
You can use subsections if you like.  
Below is an example of a retinotopic map.  Or, to be precise, below ''will'' be an example of a retinotopic map once the image is uploaded. To add an image, simply put text like this inside double brackets 'MyFile.jpg | My figure caption'. When you save this text and click on the link, the wiki will ask you for the figure.  
Below is an example of a retinotopic map.  Or, to be precise, below ''will'' be an example of a retinotopic map once the image is uploaded. To add an image, simply put text like this inside double brackets 'MyFile.jpg | My figure caption'. When you save this text and click on the link, the wiki will ask you for the figure.  
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Once you upload the images, they look like this. Note that you can control many features of the images, like whether to show a thumbnail, and the display resolution.
Once you upload the images, they look like this. Note that you can control many features of the images, like whether to show a thumbnail, and the display resolution.
{ [[File:Example3.jpg |thumb|300px|center| Figure 3]] }
[[File:Example3.jpg |thumb|300px|center| Figure 3]]
<br>
<br>


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== Retinotopic models in group-averaged data on the MNI template brain ==
== Retinotopic models in group-averaged data on the MNI template brain ==
Some text. Some analysis. Some figures.
Some text. Some analysis. Some figures. Maybe some equations.
 
 
=== Equations===
If you want to use equations, you can use the same formats that are use on wikipedia. <br>
''See wikimedia help on  [http://meta.wikimedia.org/wiki/Help:Displaying_a_formula formulas] for help.'' <br>
This example of equation use is copied and pasted from [http://en.wikipedia.org/wiki/Discrete_Fourier_transform wikipedia's article on the DFT].
 
The [[sequence]] of ''N'' [[complex number]]s ''x''<sub>0</sub>, ..., ''x''<sub>''N''−1</sub> is transformed into the  sequence of ''N'' complex numbers ''X''<sub>0</sub>, ..., ''X''<sub>''N''−1</sub> by the DFT according to the formula:
 
:<math>X_k = \sum_{n=0}^{N-1} x_n e^{-\frac{2 \pi i}{N} k n} \quad \quad k = 0, \dots, N-1</math> 
           
where i is the imaginary unit and <math>e^{\frac{2 \pi i}{N}}</math>  is a primitive N'th [[root of unity]]. (This expression can also be written in terms of a [[DFT matrix]]; when scaled appropriately it becomes a [[unitary matrix]] and the ''X''<sub>''k''</sub> can thus be viewed as coefficients of ''x'' in an [[orthonormal basis]].)
 
The transform is sometimes denoted by the symbol <math>\mathcal{F}</math>, as in <math>\mathbf{X} = \mathcal{F} \left \{ \mathbf{x} \right \} </math> or <math>\mathcal{F} \left ( \mathbf{x} \right )</math> or <math>\mathcal{F} \mathbf{x}</math>. 
 
The '''inverse discrete Fourier transform (IDFT)''' is given by


:<math>x_n = \frac{1}{N} \sum_{k=0}^{N-1} X_k e^{\frac{2\pi i}{N} k n} \quad \quad n = 0,\dots,N-1.</math>


== Retinotopic models in group-averaged data projected back into native space ==
== Retinotopic models in group-averaged data projected back into native space ==
Some text. Some analysis. Some figures.
Some text. Some analysis. Some figures.


= Conclusions - What it means =
 
= Conclusions =
 
Here is where you say what your results mean.
 
= References - Resources and related work =
= References - Resources and related work =


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==Code==
==Code==
[[Media:MyCodeZipFile.zip | zip file with code]]
[[File:CodeFile.zip]]


==Data==
==Data==
[[Media:MyDataZipFile.zip | zip file with my data]]
[[File:DataFile.zip | zip file with my data]]


= Appendix II - Work partition (if a group project) =
= Appendix II - Work partition (if a group project) =
Brian and Bob gave the lectures. Jon mucked around on the wiki.
Brian and Bob gave the lectures. Jon mucked around on the wiki.

Latest revision as of 23:01, 19 March 2010

Back to Psych 204 Projects 2009




Background

You can use subsections if you like. Below is an example of a retinotopic map. Or, to be precise, below will be an example of a retinotopic map once the image is uploaded. To add an image, simply put text like this inside double brackets 'MyFile.jpg | My figure caption'. When you save this text and click on the link, the wiki will ask you for the figure.
Figure 1

Below is another example of a reinotopic map in a different subject.
Figure 2

Once you upload the images, they look like this. Note that you can control many features of the images, like whether to show a thumbnail, and the display resolution.

Figure 3


MNI space

MNI is an abbreviation for Montreal Neurological Institute.

Methods

Measuring retinotopic maps

Retinotopic maps were obtained in 5 subjects using Population Receptive Field mapping methods Dumoulin and Wandell (2008). These data were collected for another research project in the Wandell lab. We re-analyzed the data for this project, as described below.

Subjects

Subjects were 5 healthy volunteers.

MR acquisition

Data were obtained on a GE scanner. Et cetera.

MR Analysis

The MR data was analyzed using mrVista software tools.

Pre-processing

All data were slice-time corrected, motion corrected, and repeated scans were averaged together to create a single average scan for each subject. Et cetera.

PRF model fits

PRF models were fit with a 2-gaussian model.

MNI space

After a pRF model was solved for each subject, the model was trasnformed into MNI template space. This was done by first aligning the high resolution t1-weighted anatomical scan from each subject to an MNI template. Since the pRF model was coregistered to the t1-anatomical scan, the same alignment matrix could then be applied to the pRF model.
Once each pRF model was aligned to MNI space, 4 model parameters - x, y, sigma, and r^2 - were averaged across each of the 6 subjects in each voxel.

Et cetera.


Results - What you found

Retinotopic models in native space

Some text. Some analysis. Some figures.

Retinotopic models in individual subjects transformed into MNI space

Some text. Some analysis. Some figures.

Retinotopic models in group-averaged data on the MNI template brain

Some text. Some analysis. Some figures. Maybe some equations.


Equations

If you want to use equations, you can use the same formats that are use on wikipedia.
See wikimedia help on formulas for help.
This example of equation use is copied and pasted from wikipedia's article on the DFT.

The sequence of N complex numbers x0, ..., xN−1 is transformed into the sequence of N complex numbers X0, ..., XN−1 by the DFT according to the formula:

where i is the imaginary unit and is a primitive N'th root of unity. (This expression can also be written in terms of a DFT matrix; when scaled appropriately it becomes a unitary matrix and the Xk can thus be viewed as coefficients of x in an orthonormal basis.)

The transform is sometimes denoted by the symbol , as in or or .

The inverse discrete Fourier transform (IDFT) is given by

Retinotopic models in group-averaged data projected back into native space

Some text. Some analysis. Some figures.


Conclusions

Here is where you say what your results mean.

References - Resources and related work

References

Software

Appendix I - Code and Data

Code

File:CodeFile.zip

Data

zip file with my data

Appendix II - Work partition (if a group project)

Brian and Bob gave the lectures. Jon mucked around on the wiki.