Note

Click here to download the full example code

# Simulate raw data using subject anatomy¶

This example illustrates how to generate source estimates and simulate raw data
using subject anatomy with the `mne.simulation.SourceSimulator`

class.
Once the raw data is simulated, generated source estimates are reconstructed
using dynamic statistical parametric mapping (dSPM) inverse operator.

```
# Author: Ivana Kojcic <ivana.kojcic@gmail.com>
# Eric Larson <larson.eric.d@gmail.com>
# Kostiantyn Maksymenko <kostiantyn.maksymenko@gmail.com>
# Samuel Deslauriers-Gauthier <sam.deslauriers@gmail.com>
# License: BSD (3-clause)
import os.path as op
import numpy as np
import mne
from mne.datasets import sample
print(__doc__)
# In this example, raw data will be simulated for the sample subject, so its
# information needs to be loaded. This step will download the data if it not
# already on your machine. Subjects directory is also set so it doesn't need
# to be given to functions.
data_path = sample.data_path()
subjects_dir = op.join(data_path, 'subjects')
subject = 'sample'
meg_path = op.join(data_path, 'MEG', subject)
# First, we get an info structure from the sample subject.
fname_info = op.join(meg_path, 'sample_audvis_raw.fif')
info = mne.io.read_info(fname_info)
tstep = 1 / info['sfreq']
# To simulate sources, we also need a source space. It can be obtained from the
# forward solution of the sample subject.
fwd_fname = op.join(meg_path, 'sample_audvis-meg-eeg-oct-6-fwd.fif')
fwd = mne.read_forward_solution(fwd_fname)
src = fwd['src']
# To simulate raw data, we need to define when the activity occurs using events
# matrix and specify the IDs of each event.
# Noise covariance matrix also needs to be defined.
# Here, both are loaded from the sample dataset, but they can also be specified
# by the user.
fname_event = op.join(meg_path, 'sample_audvis_raw-eve.fif')
fname_cov = op.join(meg_path, 'sample_audvis-cov.fif')
events = mne.read_events(fname_event)
noise_cov = mne.read_cov(fname_cov)
# Standard sample event IDs. These values will correspond to the third column
# in the events matrix.
event_id = {'auditory/left': 1, 'auditory/right': 2, 'visual/left': 3,
'visual/right': 4, 'smiley': 5, 'button': 32}
# Take only a few events for speed
events = events[:80]
```

Out:

```
Read a total of 3 projection items:
PCA-v1 (1 x 102) idle
PCA-v2 (1 x 102) idle
PCA-v3 (1 x 102) idle
Reading forward solution from /home/circleci/mne_data/MNE-sample-data/MEG/sample/sample_audvis-meg-eeg-oct-6-fwd.fif...
Reading a source space...
Computing patch statistics...
Patch information added...
Distance information added...
[done]
Reading a source space...
Computing patch statistics...
Patch information added...
Distance information added...
[done]
2 source spaces read
Desired named matrix (kind = 3523) not available
Read MEG forward solution (7498 sources, 306 channels, free orientations)
Desired named matrix (kind = 3523) not available
Read EEG forward solution (7498 sources, 60 channels, free orientations)
MEG and EEG forward solutions combined
Source spaces transformed to the forward solution coordinate frame
366 x 366 full covariance (kind = 1) found.
Read a total of 4 projection items:
PCA-v1 (1 x 102) active
PCA-v2 (1 x 102) active
PCA-v3 (1 x 102) active
Average EEG reference (1 x 60) active
```

In order to simulate source time courses, labels of desired active regions need to be specified for each of the 4 simulation conditions. Make a dictionary that maps conditions to activation strengths within aparc.a2009s 1 labels. In the aparc.a2009s parcellation:

‘G_temp_sup-G_T_transv’ is the label for primary auditory area

‘S_calcarine’ is the label for primary visual area

In each of the 4 conditions, only the primary area is activated. This means that during the activations of auditory areas, there are no activations in visual areas and vice versa. Moreover, for each condition, contralateral region is more active (here, 2 times more) than the ipsilateral.

```
activations = {
'auditory/left':
[('G_temp_sup-G_T_transv-lh', 30), # label, activation (nAm)
('G_temp_sup-G_T_transv-rh', 60)],
'auditory/right':
[('G_temp_sup-G_T_transv-lh', 60),
('G_temp_sup-G_T_transv-rh', 30)],
'visual/left':
[('S_calcarine-lh', 30),
('S_calcarine-rh', 60)],
'visual/right':
[('S_calcarine-lh', 60),
('S_calcarine-rh', 30)],
}
annot = 'aparc.a2009s'
# Load the 4 necessary label names.
label_names = sorted(set(activation[0]
for activation_list in activations.values()
for activation in activation_list))
region_names = list(activations.keys())
```

## Create simulated source activity¶

Generate source time courses for each region. In this example, we want to simulate source activity for a single condition at a time. Therefore, each evoked response will be parametrized by latency and duration.

```
def data_fun(times, latency, duration):
"""Function to generate source time courses for evoked responses,
parametrized by latency and duration."""
f = 15 # oscillating frequency, beta band [Hz]
sigma = 0.375 * duration
sinusoid = np.sin(2 * np.pi * f * (times - latency))
gf = np.exp(- (times - latency - (sigma / 4.) * rng.rand(1)) ** 2 /
(2 * (sigma ** 2)))
return 1e-9 * sinusoid * gf
```

Here, `SourceSimulator`

is used, which allows to
specify where (label), what (source_time_series), and when (events) event
type will occur.

We will add data for 4 areas, each of which contains 2 labels. Since add_data method accepts 1 label per call, it will be called 2 times per area.

Evoked responses are generated such that the main component peaks at 100ms with a duration of around 30ms, which first appears in the contralateral cortex. This is followed by a response in the ipsilateral cortex with a peak about 15ms after. The amplitude of the activations will be 2 times higher in the contralateral region, as explained before.

When the activity occurs is defined using events. In this case, they are taken from the original raw data. The first column is the sample of the event, the second is not used. The third one is the event id, which is different for each of the 4 areas.

```
times = np.arange(150, dtype=np.float) / info['sfreq']
duration = 0.03
rng = np.random.RandomState(7)
source_simulator = mne.simulation.SourceSimulator(src, tstep=tstep)
for region_id, region_name in enumerate(region_names, 1):
events_tmp = events[np.where(events[:, 2] == region_id)[0], :]
for i in range(2):
label_name = activations[region_name][i][0]
label_tmp = mne.read_labels_from_annot(subject, annot,
subjects_dir=subjects_dir,
regexp=label_name,
verbose=False)
label_tmp = label_tmp[0]
amplitude_tmp = activations[region_name][i][1]
if region_name.split('/')[1][0] == label_tmp.hemi[0]:
latency_tmp = 0.115
else:
latency_tmp = 0.1
wf_tmp = data_fun(times, latency_tmp, duration)
source_simulator.add_data(label_tmp,
amplitude_tmp * wf_tmp,
events_tmp)
# To obtain a SourceEstimate object, we need to use `get_stc()` method of
# SourceSimulator class.
stc_data = source_simulator.get_stc()
```

## Simulate raw data¶

Project the source time series to sensor space. Three types of noise will be added to the simulated raw data:

multivariate Gaussian noise obtained from the noise covariance from the sample data

blink (EOG) noise

ECG noise

The `SourceSimulator`

can be given directly to the
`simulate_raw()`

function.

```
raw_sim = mne.simulation.simulate_raw(info, source_simulator, forward=fwd,
cov=None)
raw_sim.set_eeg_reference(projection=True)
mne.simulation.add_noise(raw_sim, cov=noise_cov, random_state=0)
mne.simulation.add_eog(raw_sim, random_state=0)
mne.simulation.add_ecg(raw_sim, random_state=0)
# Plot original and simulated raw data.
raw_sim.plot(title='Simulated raw data')
```

Out:

```
Setting up raw simulation: 1 position, "cos2" interpolation
Event information stored on channel: STI 014
Setting up forward solutions
Computing gain matrix for transform #1/1
Simulating data for forward operator 1/0
Interval 0.000-1.665 sec
Interval 1.665-3.330 sec
Interval 3.330-4.995 sec
Interval 4.995-6.660 sec
Interval 6.660-8.325 sec
Interval 8.325-9.990 sec
Interval 9.990-11.655 sec
Interval 11.655-13.320 sec
Interval 13.320-14.985 sec
Interval 14.985-16.650 sec
Interval 16.650-18.315 sec
Interval 18.315-19.980 sec
Interval 19.980-21.644 sec
Interval 21.644-23.309 sec
Interval 23.309-24.974 sec
Interval 24.974-26.639 sec
Interval 26.639-28.304 sec
Interval 28.304-29.969 sec
Interval 29.969-31.634 sec
Interval 31.634-33.299 sec
Interval 33.299-34.964 sec
Interval 34.964-36.629 sec
Interval 36.629-38.294 sec
Interval 38.294-39.959 sec
Interval 39.959-41.624 sec
Interval 41.624-43.289 sec
Interval 43.289-44.954 sec
Interval 44.954-46.619 sec
Interval 46.619-48.284 sec
Interval 48.284-49.949 sec
Interval 49.949-51.614 sec
Interval 51.614-53.279 sec
Interval 53.279-54.944 sec
Interval 54.944-56.609 sec
Interval 56.609-58.274 sec
Interval 58.274-59.939 sec
Interval 59.939-61.604 sec
Interval 61.604-63.268 sec
Interval 63.268-64.933 sec
Interval 64.933-66.598 sec
Interval 66.598-68.263 sec
Interval 68.263-69.928 sec
Interval 69.928-71.593 sec
Interval 71.593-73.258 sec
Interval 73.258-74.923 sec
Interval 74.923-76.588 sec
Interval 76.588-78.253 sec
Interval 78.253-79.918 sec
Interval 79.918-81.583 sec
Interval 81.583-83.248 sec
Interval 83.248-84.913 sec
Interval 84.913-86.578 sec
Interval 86.578-88.243 sec
Interval 88.243-89.908 sec
Interval 89.908-91.573 sec
Interval 91.573-93.238 sec
Interval 93.238-94.903 sec
Interval 94.903-96.568 sec
Interval 96.568-98.233 sec
Interval 98.233-98.338 sec
60 STC iterations provided
Done
Adding average EEG reference projection.
1 projection items deactivated
Average reference projection was added, but has not been applied yet. Use the apply_proj method to apply it.
Adding noise to 366/376 channels (366 channels in cov)
Sphere : origin at (0.0 0.0 0.0) mm
radius : 90.0 mm
Source location file : dict()
Assuming input in millimeters
Assuming input in MRI coordinates
Positions (in meters) and orientations
2 sources
blink simulated and trace stored on channel: EOG 061
Setting up forward solutions
Computing gain matrix for transform #1/1
Sphere : origin at (0.0 0.0 0.0) mm
radius : 90.0 mm
Source location file : dict()
Assuming input in millimeters
Assuming input in MRI coordinates
Positions (in meters) and orientations
1 sources
ecg simulated and trace not stored
Setting up forward solutions
Computing gain matrix for transform #1/1
```

## Extract epochs and compute evoked responsses¶

```
epochs = mne.Epochs(raw_sim, events, event_id, tmin=-0.2, tmax=0.3,
baseline=(None, 0))
evoked_aud_left = epochs['auditory/left'].average()
evoked_vis_right = epochs['visual/right'].average()
# Visualize the evoked data
evoked_aud_left.plot(spatial_colors=True)
evoked_vis_right.plot(spatial_colors=True)
```

Out:

```
80 matching events found
Applying baseline correction (mode: mean)
Not setting metadata
Created an SSP operator (subspace dimension = 4)
4 projection items activated
```

## Reconstruct simulated source time courses using dSPM inverse operator¶

Here, source time courses for auditory and visual areas are reconstructed separately and their difference is shown. This was done merely for better visual representation of source reconstruction. As expected, when high activations appear in primary auditory areas, primary visual areas will have low activations and vice versa.

```
method, lambda2 = 'dSPM', 1. / 9.
inv = mne.minimum_norm.make_inverse_operator(epochs.info, fwd, noise_cov)
stc_aud = mne.minimum_norm.apply_inverse(
evoked_aud_left, inv, lambda2, method)
stc_vis = mne.minimum_norm.apply_inverse(
evoked_vis_right, inv, lambda2, method)
stc_diff = stc_aud - stc_vis
brain = stc_diff.plot(subjects_dir=subjects_dir, initial_time=0.1,
hemi='split', views=['lat', 'med'])
```

Out:

```
Converting forward solution to surface orientation
Average patch normals will be employed in the rotation to the local surface coordinates....
Converting to surface-based source orientations...
[done]
Computing inverse operator with 364 channels.
364 out of 366 channels remain after picking
Selected 364 channels
Creating the depth weighting matrix...
203 planar channels
limit = 7262/7498 = 10.020865
scale = 2.58122e-08 exp = 0.8
Applying loose dipole orientations. Loose value of 0.2.
Whitening the forward solution.
Created an SSP operator (subspace dimension = 4)
Computing data rank from covariance with rank=None
Using tolerance 3.3e-13 (2.2e-16 eps * 305 dim * 4.8 max singular value)
Estimated rank (mag + grad): 302
MEG: rank 302 computed from 305 data channels with 3 projectors
Using tolerance 4.7e-14 (2.2e-16 eps * 59 dim * 3.6 max singular value)
Estimated rank (eeg): 58
EEG: rank 58 computed from 59 data channels with 1 projector
Setting small MEG eigenvalues to zero (without PCA)
Setting small EEG eigenvalues to zero (without PCA)
Creating the source covariance matrix
Adjusting source covariance matrix.
Computing SVD of whitened and weighted lead field matrix.
largest singular value = 5.49264
scaling factor to adjust the trace = 1.64e+19
Preparing the inverse operator for use...
Scaled noise and source covariance from nave = 1 to nave = 19
Created the regularized inverter
Created an SSP operator (subspace dimension = 4)
Created the whitener using a noise covariance matrix with rank 360 (4 small eigenvalues omitted)
Computing noise-normalization factors (dSPM)...
[done]
Applying inverse operator to "auditory/left"...
Picked 364 channels from the data
Computing inverse...
Eigenleads need to be weighted ...
Computing residual...
Explained 87.9% variance
Combining the current components...
dSPM...
[done]
Preparing the inverse operator for use...
Scaled noise and source covariance from nave = 1 to nave = 16
Created the regularized inverter
Created an SSP operator (subspace dimension = 4)
Created the whitener using a noise covariance matrix with rank 360 (4 small eigenvalues omitted)
Computing noise-normalization factors (dSPM)...
[done]
Applying inverse operator to "visual/right"...
Picked 364 channels from the data
Computing inverse...
Eigenleads need to be weighted ...
Computing residual...
Explained 90.8% variance
Combining the current components...
dSPM...
[done]
Using control points [ 3.33902636 4.92216237 48.71052555]
```