Skip to content

Instantly share code, notes, and snippets.

@miykael
Created July 28, 2018 21:32
Show Gist options
  • Save miykael/df1e41872cc01845c7eaa4027d06e140 to your computer and use it in GitHub Desktop.
Save miykael/df1e41872cc01845c7eaa4027d06e140 to your computer and use it in GitHub Desktop.
Project idea for the NHW2018 Hackathon - Find optimal MR scan sequence parameters based on MRIQC dataset
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Optimal Sequence Finder\n",
"\n",
"This notebook was inspired by [Chris' tweet](https://twitter.com/ChrisFiloG/status/995899734333186048) and his notebook about [Effects of multiband factor on tSNR (MRIQC Web API)](https://gist.github.com/chrisfilo/9e5c6089a0d00da6f8d3bf9e896a2de9). The idea is to take the data from [MRIQC](https://mriqc.readthedocs.io) and estimate what the best sequence parameters are for a given temporal and spatial resolution. For this there are three open questions:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. Which input variables should be specified?\n",
"\n",
"Possible input parameters are:\n",
"\n",
"- Modality / Sequence Type: BOLD, T1w, T2w\n",
"- Spatial Resolution: spacing in x, y, z\n",
"- Temporal Resolution: TR (for BOLD sequences)\n",
"- Acceleration Factor (for Multiband BOLD sequence)\n",
"- Scanner Field Strength: 1.5T, 3T, 7T\n",
"- Scanner Manufacturer and Model\n",
"\n",
"**Open question**: What should be done if the input parameters is either not yet present in the MRIQC dataset or only contains a few examples? E.G. TR of 500ms, acceleration factor of 5, voxel resolution of 2x2x4mm?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2. What defines a scan sequence as 'optimal'?\n",
"\n",
"Possible metrics are:\n",
"\n",
"- TSNR for BOLD\n",
"- GM SNR for T1w (or a composition of GM, WM, SCF?)\n",
"- WM SNR for T2w (or a composition of GM, WM, SCF?)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### 3. Which variables should be given out and how?\n",
"\n",
"Possible output variables are:\n",
"\n",
"- EchoTime\n",
"- EffectiveEchoSpacing\n",
"- FlipAngle\n",
"- PhaseEncodingDirection\n",
"- RepetitionTime\n",
"\n",
"**Open Question**: Should TR be a dynamic output, as in this examples (see below), as some other variables such as flip angle depend on it?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# My initial approach\n",
"\n",
"To show an example of how I imagine this to work, let's look at the question that I had. I was interested in the optimal sequence parameters for a 3T BOLD sequence with a multiband acceleration factor of 4 and a voxel resolution of 2x2x3, that yields the \"highest\" TSNR.\n",
"\n",
"So, here's how this could be done."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Import relevant modules\n",
"\n",
"First, let's import what we need:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"from json import load\n",
"import urllib.request, json \n",
"from pandas.io.json import json_normalize\n",
"import seaborn as sns\n",
"import pylab as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Specify relevant input parameters\n",
"\n",
"So, I'm interested in a **3T** **BOLD** sequence, with a **multiband acceleration factor of 4**."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"modality = 'bold'\n",
"field_strength = 3\n",
"acc_fact = 4\n",
"x, y, z = 2, 2, 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gather the data from MRIQC\n",
"\n",
"As a next step, let's collect the data with the requested scan parameters from MRIQC. For this we need to iterate through the pages of JSON returned by the API.\n",
"\n",
"**Open Question**: How can one send multiple search terms to the server?"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"https://mriqc.nimh.nih.gov/api/v1/bold?max_results=50&where=bids_meta.MultibandAccelerationFactor==4\n"
]
}
],
"source": [
"# Set up the root URL\n",
"results_per_page = 50\n",
"url_root = 'https://mriqc.nimh.nih.gov/api/v1/%s?max_results=%d' % (modality, results_per_page)\n",
"\n",
"# Let's add one search parameters to the URL\n",
"url_root += '&where=bids_meta.MultibandAccelerationFactor==%d' % acc_fact\n",
"\n",
"print(url_root)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"6716\n"
]
}
],
"source": [
"# How many vvalues do we have for this search?\n",
"with urllib.request.urlopen(url_root) as url:\n",
" data_points = json.loads(url.read().decode())['_meta']['total']\n",
"print(data_points)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Finished 100.5% of reading https://mriqc.nimh.nih.gov/api/v1/bold?max_results=50&where=bids_meta.MultibandAccelerationFactor==4'"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Let's iterate through all the pages and collect the data\n",
"from IPython.display import clear_output, display\n",
"page = 0\n",
"dfs = []\n",
"while True:\n",
" page_url = url_root + '&page=%d'%page\n",
"\n",
" # Retrun state of data collection\n",
" n_pages = float(data_points / results_per_page)\n",
" clear_output(wait=True)\n",
" display('Finished {:>4}% of reading {}'.format(round(100 * page / n_pages, 1), url_root))\n",
"\n",
" \n",
" with urllib.request.urlopen(page_url) as url:\n",
" data = json.loads(url.read().decode())\n",
" dfs.append(json_normalize(data['_items']))\n",
" if 'next' not in data['_links'].keys():\n",
" break\n",
" else:\n",
" page += 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Clean out dataset\n",
"\n",
"Now that we've collected the data we need to concatenate everything into one neat DataFrame and clean out duplicates:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/line/anaconda3/lib/python3.6/site-packages/ipykernel/__main__.py:2: FutureWarning: Sorting because non-concatenation axis is not aligned. A future version\n",
"of pandas will change to not sort by default.\n",
"\n",
"To accept the future behavior, pass 'sort=False'.\n",
"\n",
"To retain the current behavior and silence the warning, pass 'sort=True'.\n",
"\n",
" from ipykernel import kernelapp as app\n"
]
}
],
"source": [
"# concatenate everything\n",
"df = pd.concat(dfs, ignore_index=True)\n",
"\n",
"# delete duplicates\n",
"df_unique = df.groupby(\"provenance.md5sum\").mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we only want to keep data points that are reasonably close to our search terms. For this example, voxel resolution will be consider if they are +-0.5mm to target resolution.\n",
"\n",
"**Open Question**: What should be done if a subject has `NaN` in a specific field? Should it be included or dropped?"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Total of 2423 datapoints left.\n"
]
}
],
"source": [
"# Create selector boolean to keep only target data points\n",
"selector = np.all((df_unique['bids_meta.MagneticFieldStrength'] == field_strength,\n",
" (df_unique['spacing_x'] >= x - 0.5) & (df_unique['spacing_x'] <= x + 0.5),\n",
" (df_unique['spacing_y'] >= y - 0.5) & (df_unique['spacing_y'] <= y + 0.5),\n",
" (df_unique['spacing_z'] >= z - 0.5) & (df_unique['spacing_z'] <= z + 0.5)), axis=0)\n",
"\n",
"# Create DataFrame of interest\n",
"dfoi = df_unique[selector]\n",
"print('Total of %d datapoints left.' % len(dfoi))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's plot the TSNR values of the datapoints that we have:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f5475ef00b8>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAADuCAYAAAAjmZDVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.stripplot(y='tsnr', data=dfoi, jitter=0.4, alpha=0.3, size=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Only keep data points with \"optimal\" (above average) TSNR"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"high_tsnr = dfoi['tsnr'] >= dfoi['tsnr'].mean()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"df_final = dfoi[high_tsnr]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extract relevant output variables\n",
"\n",
"As a next step, we want to extract relevant sequence parameters, in this case as a function of TR:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimal Echo Time: 0.030000\n",
"Based on 2423 data points\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbUAAAGoCAYAAADB4nuYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+H/X7oftHbuG4AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot informative graph\n",
"sns.jointplot(\"bids_meta.RepetitionTime\", \"bids_meta.EchoTime\", data=dfoi, kind=\"reg\")\n",
"\n",
"print('Optimal Echo Time: %f' % dfoi[\"bids_meta.EchoTime\"].median())\n",
"print('Based on %d data points' % np.sum(dfoi[\"bids_meta.EchoTime\"]>=0))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimal Effective Echo Spacing: 0.000690\n",
"Based on 2423 data points\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAcEAAAGoCAYAAAA+QF56AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nzrnE8hB0zjmXWP8Puh0Vi+DlZ58AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot informative graph\n",
"sns.jointplot(\"bids_meta.RepetitionTime\", \"bids_meta.EffectiveEchoSpacing\", data=dfoi, kind=\"reg\")\n",
"\n",
"print('Optimal Effective Echo Spacing: %f' % dfoi[\"bids_meta.EffectiveEchoSpacing\"].median())\n",
"print('Based on %d data points' % np.sum(dfoi[\"bids_meta.EffectiveEchoSpacing\"]>=0))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimal Echo Train Length: 84.000000\n",
"Based on 419 data points\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAasAAAGoCAYAAAD4hcrDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\neMJYBUEQBIUnjFUQBEFQeH4BYII7qgOlegoAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot informative graph\n",
"sns.jointplot(\"bids_meta.RepetitionTime\", \"bids_meta.EchoTrainLength\", data=dfoi, kind=\"reg\")\n",
"\n",
"print('Optimal Echo Train Length: %f' % dfoi[\"bids_meta.EchoTrainLength\"].median())\n",
"print('Based on %d data points' % np.sum(dfoi[\"bids_meta.EchoTrainLength\"]>=0))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimal Pixel Bandwidth: 2705.000000\n",
"Based on 419 data points\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAGoCAYAAAAjPmDhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot informative graph\n",
"sns.jointplot(\"bids_meta.RepetitionTime\", \"bids_meta.PixelBandwidth\", data=dfoi, kind=\"reg\")\n",
"\n",
"print('Optimal Pixel Bandwidth: %f' % dfoi[\"bids_meta.PixelBandwidth\"].median())\n",
"print('Based on %d data points' % np.sum(dfoi[\"bids_meta.PixelBandwidth\"]>=0))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimal Flip Angle: 65.000000\n",
"Based on 2423 data points\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAaUAAAGoCAYAAADmTPpwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nuQhBt0AAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot informative graph\n",
"sns.jointplot(\"bids_meta.RepetitionTime\", \"bids_meta.FlipAngle\", data=dfoi, kind=\"reg\")\n",
"\n",
"print('Optimal Flip Angle: %f' % dfoi[\"bids_meta.FlipAngle\"].median())\n",
"print('Based on %d data points' % np.sum(dfoi[\"bids_meta.FlipAngle\"]>=0))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Open Question**: Not sure if the flip angle should also be estimated like this or if it should be calculated with the Ernst Angle: arccos(e^(-TR/T1)), with T1 ~= 1400ms for 3T scanners.\n",
"\n",
"This means, if I want to have a TR of 500ms (that is not covered by MRIQC), I would probably need to have a flip angle of:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"45.59926247049029\n"
]
}
],
"source": [
"T1 = 1400.0\n",
"TR = 500.0\n",
"flip_angle = np.rad2deg(np.arccos(np.power(np.e, -TR/T1)))\n",
"print(flip_angle)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's verify if this approach would also get us to an optimal flip angle of 65, with a TR of 1.4s:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"68.41510376176294\n"
]
}
],
"source": [
"T1 = 1400.0\n",
"TR = 1400.0\n",
"flip_angle = np.rad2deg(np.arccos(np.power(np.e, -TR/T1)))\n",
"print(flip_angle)"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"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": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment