dti: Compute a tensor from diffusion dataĀ¶



% This m-file has been automatically generated using qMRgenBatch(dti)
% Command Line Interface (CLI) is well-suited for automatization
% purposes and Octave.
% Please execute this m-file section by section to get familiar with batch
% processing for dti on CLI.
% Demo files are downloaded into dti_data folder.
% Written by: Agah Karakuzu, 2017
% =========================================================================


qMRinfo('dti'); % Describe the model
 dti: Compute a tensor from diffusion data

Anisotropic Gaussian diffusion tensor
Valid at relatively low b-value (i.e. ~ 2000 s/mm2)

DiffusionData       4D DWI
(SigmaNoise)        map of the standard deviation of the noise per voxel
(Mask)              Binary mask to accelerate the fitting

D                   [Dxx Dxy Dxz Dxy Dyy Dyz Dxz Dyz Dzz] Diffusion Tensor
L1                  1rst eigenvalue of D
L2                  2nd eigenvalue of D
L3                  3rd eigenvalue of D
FA                  Fractional Anisotropy: FA = sqrt(3/2)*sqrt(sum((L-L_mean).^2))/sqrt(sum(L.^2));
S0_TEXX             Signal at b=0 at TE=XX
(residue)           Fitting residuals

At least 2 shells (e.g. b=1000 and b=0 s/mm2)
diffusion gradient direction in 3D

DiffusionData       Array [NbVol x 7]
Gx                Diffusion Gradient x
Gy                Diffusion Gradient y
Gz                Diffusion Gradient z
Gnorm (T/m)         Diffusion gradient magnitude
Delta (s)         Diffusion separation
delta (s)         Diffusion duration
TE (s)            Echo time

fitting type
'linear'                              Solves the linear problem (ln(S/S0) = -bD)
'non-linear (Rician Likelihood)'      Add an additional fitting step,
using the Rician Likelihood.
Rician noise bias                       only for non-linear fitting
SigmaNoise map is prioritary.
'Compute Sigma per voxel'             Sigma is estimated by computing the STD across repeated scans.
'fix sigma'                           Use scd_noise_std_estimation to measure noise level. Use 'value' to fix Sigma.

Example of command line usage (see a href="matlab: web(which('dti_batch.html'))" dti_batch.html/a):
Model = dti
data.DiffusionData = load_nii_data('DiffusionData.nii.gz');
data.SigmaNoise = load_nii_data('SigmaNoise.nii.gz');
data.Mask = load_nii_data('Mask.nii.gz');
% Specific voxel:         datavox = extractvoxel(data,voxel);
% Interactive selection:  datavox = extractvoxel(data);
voxel       = round(size(data.DiffusionData(:,:,:,1))/2); % pick FOV center
datavox     = extractvoxel(data,voxel);
FitResults  = Model.fit(datavox);
Model.plotModel(FitResults, datavox); % plot fit results
%% FIT all voxels
FitResults = FitData(data,Model);
% SAVE results to NIFTI
FitResultsSave_nii(FitResults,'DiffusionData.nii.gz'); % use header from 'DiffusionData.nii.gz'

For more examples: a href="matlab: qMRusage(dti);"qMRusage(dti)/a

Author: Tanguy Duval, 2016

Please cite the following if you use this module:
Basser, P.J., Mattiello, J., LeBihan, D., 1994. MR diffusion tensor spectroscopy and imaging. Biophys. J. 66, 259?267.
In addition to citing the package:
Cabana J-F, Gu Y, Boudreau M, Levesque IR, Atchia Y, Sled JG, Narayanan S, Arnold DL, Pike GB, Cohen-Adad J, Duval T, Vuong M-T and Stikov N. (2016), Quantitative magnetization transfer imaging made easy with qMTLab: Software for data simulation, analysis, and visualization. Concepts Magn. Reson.. doi: 10.1002/cmr.a.21357

Reference page in Doc Center
doc dti


a- create object

Model = dti;

b- modify options

         |- This section will pop-up the options GUI. Close window to continue.
|- Octave is not GUI compatible. Modify Model.options directly.
Model = Custom_OptionsGUI(Model); % You need to close GUI to move on.


a- load experimental data

         |- dti object needs 3 data input(s) to be assigned:
|-   DiffusionData
|-   SigmaNoise
|-   Mask
data = struct();
% DiffusionData.nii.gz contains [74   87   50  109] data.
% Mask.nii.gz contains [74  87  50] data.

b- fit dataset

           |- This section will fit data.
FitResults = FitData(data,Model,0);
=============== qMRLab::Fit ======================
Operation has been started: dti
Elapsed time is 1.655054 seconds.
Operation has been completed: dti

c- show fitting results

         |- Output map will be displayed.
|- If available, a graph will be displayed to show fitting in a voxel.
|- To make documentation generation and our CI tests faster for this model,
we used a subportion of the data (40X40X40) in our testing environment.
|- Therefore, this example will use FitResults that comes with OSF data for display purposes.
|- Users will get the whole dataset (384X336X224) and the script that uses it for demo
via qMRgenBatch(qsm_sb) command.
FitResults_old = load('FitResults/FitResults.mat');

d- Save results

         |-  qMR maps are saved in NIFTI and in a structure FitResults.mat
that can be loaded in qMRLab graphical user interface
|-  Model object stores all the options and protocol.
It can be easily shared with collaborators to fit their
own data or can be used for simulation.
FitResultsSave_nii(FitResults, 'dti_data/DiffusionData.nii.gz');
Warning: Directory already exists.


   |- This section can be executed to run simulations for dti.

a- Single Voxel Curve

         |- Simulates Single Voxel curves:
(1) use equation to generate synthetic MRI data
(2) add rician noise
(3) fit and plot curve
      x = struct;
x.L1 = 2;
x.L2 = 0.7;
x.L3 = 0.7;
Opt.SNR = 50;
% run simulation
figure('Name','Single Voxel Curve Simulation');
FitResult = Model.Sim_Single_Voxel_Curve(x,Opt);

b- Sensitivity Analysis

         |-    Simulates sensitivity to fitted parameters:
(1) vary fitting parameters from lower (lb) to upper (ub) bound.
(2) run Sim_Single_Voxel_Curve Nofruns times
(3) Compute mean and std across runs
      %              L1            L2            L3
OptTable.st = [2             0.7           0.7]; % nominal values
OptTable.fx = [0             1             1]; %vary L1...
OptTable.lb = [0             0             0]; %...from 0
OptTable.ub = [5             5             5]; %...to 5
Opt.SNR = 50;
Opt.Nofrun = 5;
% run simulation
SimResults = Model.Sim_Sensitivity_Analysis(OptTable,Opt);
figure('Name','Sensitivity Analysis');
SimVaryPlot(SimResults, 'L1' ,'L1' );