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Motion correction of fMRI data with high temporal resolution (~500ms), using a band-pass filter
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using a band-pass filter for strategy 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Strategy 2: Temporal filter data, estimate motion parameters on them and use those motion parameters.\n",
"\n",
"As mentioned in **Strategy 1**, I don't know how to correct for motion with only having the estimated motion parameters. Luckily, `FSL`'s `MCFLIRT` has an option where it also saves the transformation matrix for each volume. \n",
"\n",
"This brings me to **Strategy 2**. Temporally filter the original (motion uncorrected) data, estimated the the motion parameters from the frequency filtered data and apply those estimated parameters to the original (motion uncorrected) data."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# Low-pass filter original data\n",
"low_pass = 0.2\n",
"high_pass = 1./128.\n",
"TR = 0.5\n",
" \n",
"# Apply temporal filter and store it in new file\n",
"in_file = filename\n",
"img = image.clean_img(in_file,\n",
" detrend=False,\n",
" standardize=False,\n",
" t_r=TR,\n",
" ensure_finite=True,\n",
" low_pass=low_pass,\n",
" high_pass=high_pass)\n",
"\n",
"# Add mean if image was high pass filtered\n",
"if high_pass:\n",
" img = image.math_img(\"img1 + img2[...,None]\", img1=img, img2=image.mean_img(in_file))\n",
" \n",
"img.to_filename('func_tFilt_band.nii')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"# Estimated the motion parameters in the temporally filtered data\n",
"from nipype.interfaces.fsl import MCFLIRT\n",
"mcflirt = MCFLIRT(in_file='func_tFilt_band.nii',\n",
" mean_vol=False,\n",
" ref_vol=0,\n",
" save_plots=True,\n",
" save_mats=True,\n",
" out_file='func_tFilt_band_mcf.nii.gz').run()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot FSL's the motion paramters\n",
"par = np.loadtxt('func_tFilt_band_mcf.nii.gz.par')\n",
"fig, axes = plt.subplots(2, 1, figsize=(15, 5))\n",
"axes[0].set_ylabel('rotation (degrees)')\n",
"axes[0].plot(np.rad2deg(par[0:, :3]))\n",
"axes[1].plot(par[0:, 3:])\n",
"axes[1].set_xlabel('time (TR)')\n",
"axes[1].set_ylabel('translation (mm)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That looks actually very much like the temporally filtered motion parameters from **Strategy 1**. How much do they actually differ?"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Difference between motion parameters from Strategy 1 and 2\n",
"par1 = np.loadtxt('func_tFilt_band_mcf.nii.gz.par')\n",
"par2 = np.copy(par_filtered)\n",
"fig, axes = plt.subplots(2, 1, figsize=(15, 5))\n",
"axes[0].set_ylabel('rotation (degrees)')\n",
"axes[0].plot(np.rad2deg(par1[0:, :3] - par2[0:, :3]))\n",
"axes[1].plot(par1[0:, 3:] - par2[0:, 3:])\n",
"axes[1].set_xlabel('time (TR)')\n",
"axes[1].set_ylabel('translation (mm)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see, the data still contains low drifts, i.e. the general motion wasn't really corrected for. Nonetheless, let's continue.\n",
"\n",
"As a next step, we now can take the estimated transformation matrices (saved under `func_tFilt_band_mcf.nii.gz.mat/MAT_????`) and apply them to the original functional image."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"func_tFilt_band_mcf.nii.gz.mat/MAT_0000\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0001\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0002\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0003\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0004\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0005\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0006\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0007\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0008\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0009\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0010\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0011\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0012\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0013\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0014\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0015\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0016\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0017\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0018\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0019\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0020\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0021\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0022\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0023\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0024\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0025\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0026\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0027\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0028\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0029\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0030\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0031\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0032\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0033\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0034\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0035\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0036\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0037\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0038\n",
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},
{
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},
{
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"func_tFilt_band_mcf.nii.gz.mat/MAT_0904\n",
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"func_tFilt_band_mcf.nii.gz.mat/MAT_0906\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0907\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0908\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0909\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0910\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0911\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0912\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0913\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0914\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0915\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0916\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0917\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0918\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0919\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0920\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0921\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0922\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0923\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0924\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0925\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0926\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0927\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0928\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0929\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0930\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0931\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0932\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0933\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0934\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0935\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0936\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0937\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0938\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0939\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0940\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0941\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0942\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0943\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0944\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0945\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0946\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0947\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0948\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0949\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0950\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0951\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0952\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0953\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0954\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0955\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0956\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0957\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0958\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0959\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0960\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0961\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0962\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0963\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0964\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0965\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0966\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0967\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0968\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0969\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0970\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0971\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0972\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0973\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0974\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0975\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0976\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0977\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0978\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0979\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0980\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0981\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0982\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0983\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0984\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0985\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0986\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0987\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0988\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0989\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0990\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0991\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0992\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0993\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0994\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0995\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0996\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0997\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0998\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_0999\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1000\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1001\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1002\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1003\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1004\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1005\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1006\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1007\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1008\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1009\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1010\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1011\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1012\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1013\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1014\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1015\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1016\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1017\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1018\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1019\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1020\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1021\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1022\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1023\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1024\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"func_tFilt_band_mcf.nii.gz.mat/MAT_1025\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1026\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1027\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1028\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1029\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1030\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1031\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1032\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1033\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1034\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1035\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1036\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1037\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1038\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1039\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1040\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1041\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1042\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1043\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1044\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1045\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1046\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1047\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1048\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1049\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1050\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1051\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1052\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1053\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1054\n",
"func_tFilt_band_mcf.nii.gz.mat/MAT_1055\n"
]
}
],
"source": [
"!applyxfm4D func.nii func.nii func_mcf_tf_cleaned_band.nii func_tFilt_band_mcf.nii.gz.mat -fourdigit"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That took some time. But let's see what kind of \"motion\" and frequency we still have in the data after this."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"# Perform FSL's motion correction\n",
"from nipype.interfaces.fsl import MCFLIRT\n",
"mcflirt = MCFLIRT(in_file='func_mcf_tf_cleaned_band.nii.gz',\n",
" mean_vol=False,\n",
" ref_vol=0,\n",
" save_plots=True,\n",
" out_file='out_strategy2_band.nii.gz').run()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Motion parameters still in the data after Strategy 2"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot FSL's the motion paramters\n",
"par = np.loadtxt('out_strategy2_band.nii.gz.par')\n",
"fig, axes = plt.subplots(2, 1, figsize=(15, 5))\n",
"axes[0].set_ylabel('rotation (degrees)')\n",
"axes[0].plot(np.rad2deg(par[0:, :3]))\n",
"axes[1].plot(par[0:, 3:])\n",
"axes[1].set_xlabel('time (TR)')\n",
"axes[1].set_ylabel('translation (mm)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Frequencies still in the data after Strategy 2 (in motion parameters and NIfTI file)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.signal import welch\n",
"from scipy.stats import zscore\n",
"TR = 0.5\n",
"freq, power_spectrum = welch(zscore(par.T, axis=-1), fs=1. / TR)\n",
"\n",
"plt.figure(figsize=(12, 4))\n",
"plt.plot(freq, power_spectrum.T)\n",
"plt.axvspan(0.2, 0.67, facecolor='b', alpha=0.1);"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.signal import welch\n",
"img = nb.load('out_strategy2_band.nii.gz')\n",
"data = img.get_data()\n",
"\n",
"freq, power_spectrum = welch(np.mean(data, axis=(0, 1, 2)), fs=1. / TR)\n",
"\n",
"plt.figure(figsize=(12, 4))\n",
"plt.plot(freq, power_spectrum)\n",
"plt.axvspan(0.2, 0.67, facecolor='b', alpha=0.1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Conclusion\n",
"\n",
"It seems that **Strategy 2** is not working if `high_pass` is used. The motion is not really corrected for, and the filtered frequency is almost removed from the motion corrected data."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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