fmri_pet_analysis.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Is the lateralization effect stronger at 7T than in the PET?\n",
    "\n",
    "Many of these patients have either hippocampal or temporal PET qualitative asymmetries. Is the difference between left and right TLE largest at 7T or with what is currently being used clinically, which is PET?"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import the functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import nibabel as nib\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import os\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "colors = [\"#FF5733\",\"#1F77B4\"]\n",
    "sns.set_palette(colors)\n",
    "\n",
    "# Plotting Parameters\n",
    "SMALL_SIZE = 14\n",
    "MEDIUM_SIZE = 16\n",
    "BIGGER_SIZE = 18\n",
    "\n",
    "plt.rc('font', size=SMALL_SIZE, family='Arial')          # controls default text sizes\n",
    "plt.rc('axes', titlesize=SMALL_SIZE)     # fontsize of the axes title\n",
    "plt.rc('axes', labelsize=MEDIUM_SIZE)    # fontsize of the x and y labels\n",
    "plt.rc('xtick', labelsize=SMALL_SIZE)    # fontsize of the tick labels\n",
    "plt.rc('ytick', labelsize=SMALL_SIZE)    # fontsize of the tick labels\n",
    "plt.rc('legend', fontsize=SMALL_SIZE)    # legend fontsize\n",
    "plt.rc('figure', titlesize=BIGGER_SIZE)  # fontsize of the figure title\n",
    "\n",
    "\n",
    "def cohend(d1, d2):\n",
    "\t# calculate the size of samples\n",
    "\tn1, n2 = len(d1), len(d2)\n",
    "\t# calculate the variance of the samples\n",
    "\ts1, s2 = np.nanvar(d1, ddof=1), np.nanvar(d2, ddof=1)\n",
    "\t# calculate the pooled standard deviation\n",
    "\ts = np.sqrt(((n1 - 1) * s1 + (n2 - 1) * s2) / (n1 + n2 - 2))\n",
    "\t# calculate the means of the samples\n",
    "\tu1, u2 = np.nanmean(d1), np.nanmean(d2)\n",
    "\t# calculate the effect size\n",
    "\treturn (u1 - u2) / s"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load data generated by `voxelwise_analysis.ipynb`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_seed_all = pd.read_pickle('df_seed_all_2_27_23.pkl')"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Register and Process the PET in the Native T1 Space\n",
    "\n",
    "Sandy suggested that the PET be registered to the T1 space and analyzed either there or then in MNI space. Since I have the DKT segmentation for each patient in native space, I will use that"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Exception caught of type 16ConvertException\n",
      "  Exception detail: Unable to read matrix /Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0646_pet_to_t1.mat\n",
      "Exception caught of type 16ConvertException\n",
      "  Exception detail: Unable to read image /Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0119_aparc.DKTatlas+aseg.nii.gz; IO factory can not create IO object.\n",
      "Exception caught of type 16ConvertException\n",
      "  Exception detail: Unable to read image /Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0029_aparc.DKTatlas+aseg.nii.gz; IO factory can not create IO object.\n",
      "Exception caught of type 16ConvertException\n",
      "  Exception detail: Unable to read image /Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0143_aparc.DKTatlas+aseg.nii.gz; IO factory can not create IO object.\n"
     ]
    }
   ],
   "source": [
    "# Load the dataframe with the paired subjects\n",
    "subjects = df_seed_all['Record ID']\n",
    "\n",
    "source_pet = '/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS'\n",
    "\n",
    "for sub in subjects:\n",
    "    matrix_fname = os.path.join(source_pet,sub+'_pet_to_t1.mat')\n",
    "    pet_fname = os.path.join(source_pet,sub+'_ses-clinical01_pet.nii.gz')\n",
    "    t1_fname = os.path.join(source_pet,sub+'_ses-research3Tv*_acq-3D_T1w.nii.gz')\n",
    "    seg_fname = os.path.join(source_pet,sub+'_aparc.DKTatlas+aseg.nii.gz')\n",
    "    out_fname = os.path.join(source_pet,sub+'_ses-clinical01_space-T1w_pet.nii.gz')\n",
    "\n",
    "    # reslice to the segmentation since there might be slight discrepancies in size\n",
    "    !c3d $seg_fname $pet_fname -reslice-matrix $matrix_fname -o $out_fname\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Quantifying the PET Asymmetry in the DKT atlas"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Creating temporal and mesial temporal masks for the PET quantification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def nan_zero_set_zero(img):\n",
    "    img = (img>0).astype(float)\n",
    "    img[img==0] = np.nan\n",
    "    return img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# region values for the DKT atlas\n",
    "\n",
    "def get_regions_dkt(native_dkt_atlas):\n",
    "    right_temporal = nan_zero_set_zero((native_dkt_atlas==2030) + (native_dkt_atlas==2015) + (native_dkt_atlas==2009))\n",
    "    left_temporal = nan_zero_set_zero((native_dkt_atlas==1030) + (native_dkt_atlas==1015) + (native_dkt_atlas==1009))\n",
    "\n",
    "    right_mtl = nan_zero_set_zero((native_dkt_atlas==2016) + (native_dkt_atlas==2006) + (native_dkt_atlas==54) + (native_dkt_atlas==53))\n",
    "    left_mtl = nan_zero_set_zero((native_dkt_atlas==1016) + (native_dkt_atlas==1006) + (native_dkt_atlas==18) + (native_dkt_atlas==17))\n",
    "\n",
    "    right_sma = nan_zero_set_zero((native_dkt_atlas==2003))\n",
    "    left_sma = nan_zero_set_zero((native_dkt_atlas==1003))\n",
    "\n",
    "\n",
    "    return right_temporal , left_temporal, right_mtl, left_mtl, right_sma, left_sma\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0420_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0365_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0448_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0121_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0455_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0490_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0508_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0522_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0520_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0566_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0572_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0341_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0620_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0659_ses-clinical01_space-T1w_pet.nii.gz\n",
      "sub-RID0646  does not exist\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0619_ses-clinical01_space-T1w_pet.nii.gz\n",
      "sub-RID0119  does not exist\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0032_ses-clinical01_space-T1w_pet.nii.gz\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0117_ses-clinical01_space-T1w_pet.nii.gz\n",
      "sub-RID0029  does not exist\n",
      "sub-RID0143  does not exist\n",
      "/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS/sub-RID0693_ses-clinical01_space-T1w_pet.nii.gz\n"
     ]
    }
   ],
   "source": [
    "source_pet = '/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/source_data/PET_analysis/missing_pets/BIDS'\n",
    "\n",
    "subjects = df_seed_all['Record ID']\n",
    "\n",
    "left_temporal_list = []\n",
    "right_temporal_list = []\n",
    "left_mtl_list = []\n",
    "right_mtl_list = []\n",
    "left_sma_list = []\n",
    "right_sma_list = []\n",
    "\n",
    "\n",
    "subjects_pet = []\n",
    "\n",
    "for i in subjects:\n",
    "    pet_path = os.path.join(source_pet,i+'_ses-clinical01_space-T1w_pet.nii.gz')\n",
    "    seg_path = os.path.join(source_pet,i+'_aparc.DKTatlas+aseg.nii.gz')\n",
    "    #print(pet_path)\n",
    "    if os.path.exists(pet_path):\n",
    "        print(pet_path)\n",
    "\n",
    "        right_temporal , left_temporal, right_mtl, left_mtl, right_sma, left_sma = get_regions_dkt(nib.load(seg_path).get_fdata())\n",
    "\n",
    "        pet = nib.load(pet_path).get_fdata()\n",
    "        left_temporal_list.append(np.nanmean(pet*left_temporal))\n",
    "        right_temporal_list.append(np.nanmean(pet*right_temporal))\n",
    "\n",
    "        left_mtl_list.append(np.nanmean(pet*left_mtl))\n",
    "        right_mtl_list.append(np.nanmean(pet*right_mtl))\n",
    "        \n",
    "        left_sma_list.append(np.nanmean(pet*left_sma))\n",
    "        right_sma_list.append(np.nanmean(pet*right_sma))\n",
    "        \n",
    "\n",
    "        subjects_pet.append(i)\n",
    "    else:\n",
    "        print(i,' does not exist')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_pet = pd.DataFrame()\n",
    "\n",
    "df_pet['Record ID'] = subjects_pet\n",
    "df_pet['Left Temporal'] = left_temporal_list\n",
    "df_pet['Right Temporal'] = left_temporal_list\n",
    "\n",
    "df_pet['Left MTL'] = left_temporal_list\n",
    "df_pet['Right MTL'] = left_temporal_list\n",
    "\n",
    "df_pet['AI Temporal'] = (np.array(right_temporal_list)-np.array(left_temporal_list))/(np.array(left_temporal_list)+np.array(right_temporal_list))\n",
    "df_pet['AI MTL'] = (np.array(right_mtl_list)-np.array(left_mtl_list))/(np.array(left_mtl_list)+np.array(right_mtl_list))\n",
    "df_pet['AI SMA'] = (np.array(right_sma_list)-np.array(left_sma_list))/(np.array(left_sma_list)+np.array(right_sma_list))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_pet_fmri = pd.merge(df_pet, df_seed_all, on='Record ID')\n",
    "\n",
    "df_pet_fmri = df_pet_fmri[(df_pet_fmri['Lateralization']=='Left') | (df_pet_fmri['Lateralization']=='Right')]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "plt.subplot(133)\n",
    "sns.boxplot(x='Lateralization', y='AI Temporal', data=df_pet_fmri, linewidth=3, width=0.4)\n",
    "sns.swarmplot(x='Lateralization', y='AI Temporal', data=df_pet_fmri,  size=10, color='k')\n",
    "plt.ylabel('Temporal Pole \\nAsymmetry Index')\n",
    "plt.xticks([0,1],['L-TLE','R-TLE'])\n",
    "plt.subplot(132)\n",
    "\n",
    "sns.boxplot(x='Lateralization', y='AI MTL', data=df_pet_fmri, linewidth=3, width=0.4)\n",
    "sns.swarmplot(x='Lateralization', y='AI MTL', data=df_pet_fmri,  size=10, color='k')\n",
    "plt.ylabel('Mesial Temporal Lobe \\nAsymmetry Index')\n",
    "\n",
    "plt.tight_layout()\n",
    "sns.despine()\n",
    "plt.xticks([0,1],['L-TLE','R-TLE'])\n",
    "\n",
    "plt.subplot(131)\n",
    "\n",
    "sns.boxplot(x='Lateralization', y='AI SMA', data=df_pet_fmri, linewidth=3, width=0.4)\n",
    "sns.swarmplot(x='Lateralization', y='AI SMA', data=df_pet_fmri,  size=10, color='k')\n",
    "plt.ylabel('Supplementary Motor Area \\nAsymmetry Index')\n",
    "\n",
    "sns.despine()\n",
    "plt.xticks([0,1],['L-TLE','R-TLE'])\n",
    "plt.tight_layout()\n",
    "\n",
    "#plt.savefig('/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/output/figures/figures_2023/pet_asymmetry.pdf')\n",
    "#plt.savefig('/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/output/figures/figures_2023/pet_asymmetry_updated.pdf')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Temporal PET t-test:  Ttest_indResult(statistic=3.6797597980811667, pvalue=0.0027751279196475075)\n",
      "Temporal PET Cohen d:  1.9044566274812913\n",
      "MTL PET t-test:  Ttest_indResult(statistic=1.4917851068413865, pvalue=0.15961957373952526)\n",
      "MTL PET Cohen d:  0.7720721431283213\n"
     ]
    }
   ],
   "source": [
    "print('Temporal PET t-test: ',stats.ttest_ind(df_pet_fmri[df_pet_fmri['Lateralization']=='Left']['AI Temporal'],df_pet_fmri[df_pet_fmri['Lateralization']=='Right']['AI Temporal']))\n",
    "print('Temporal PET Cohen d: ',cohend(df_pet_fmri[df_pet_fmri['Lateralization']=='Left']['AI Temporal'],df_pet_fmri[df_pet_fmri['Lateralization']=='Right']['AI Temporal']))\n",
    "\n",
    "print('MTL PET t-test: ',stats.ttest_ind(df_pet_fmri[df_pet_fmri['Lateralization']=='Left']['AI MTL'],df_pet_fmri[df_pet_fmri['Lateralization']=='Right']['AI MTL']))\n",
    "print('MTL PET Cohen d: ',cohend(df_pet_fmri[df_pet_fmri['Lateralization']=='Left']['AI MTL'],df_pet_fmri[df_pet_fmri['Lateralization']=='Right']['AI MTL']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "plt.subplot(121)\n",
    "sns.boxplot(x='Lateralization', y='7T PCC Difference', data=df_pet_fmri, linewidth=3, width=0.4)\n",
    "sns.swarmplot(x='Lateralization', y='7T PCC Difference', data=df_pet_fmri,  size=10, color='k')\n",
    "plt.xticks([0,1],['L-TLE','R-TLE'])\n",
    "sns.despine()\n",
    "\n",
    "plt.subplot(122)\n",
    "sns.boxplot(x='Lateralization', y='3T PCC Difference', data=df_pet_fmri, linewidth=3, width=0.4)\n",
    "sns.swarmplot(x='Lateralization', y='3T PCC Difference', data=df_pet_fmri,  size=10, color='k')\n",
    "plt.xticks([0,1],['L-TLE','R-TLE'])\n",
    "sns.despine()\n",
    "\n",
    "#plt.savefig('/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/output/figures/figures_2023/pcc_difference_pet.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ttest_indResult(statistic=4.560136441469085, pvalue=0.0005351588829511285)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.ttest_ind(df_pet_fmri[df_pet_fmri['Lateralization']=='Left']['7T PCC Difference'],df_pet_fmri[df_pet_fmri['Lateralization']=='Right']['7T PCC Difference'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.3600948281198626"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cohend(df_pet_fmri[df_pet_fmri['Lateralization']=='Left']['7T PCC Difference'],df_pet_fmri[df_pet_fmri['Lateralization']=='Right']['7T PCC Difference'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ttest_indResult(statistic=1.197203562498268, pvalue=0.25260265169364393)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.ttest_ind(df_pet_fmri[df_pet_fmri['Lateralization']=='Left']['3T PCC Difference'],df_pet_fmri[df_pet_fmri['Lateralization']=='Right']['3T PCC Difference'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Spearman correlation:  SignificanceResult(statistic=0.6428571428571428, pvalue=0.009739944695595262)\n",
      "Spearman correlation:  SignificanceResult(statistic=0.11071428571428568, pvalue=0.6944626472070963)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 300x300 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(3,3))\n",
    "sns.lmplot(x='7T PCC Difference', y='AI Temporal', data=df_pet_fmri)\n",
    "print('Spearman correlation: ', stats.spearmanr(df_pet_fmri['7T PCC Difference'], df_pet_fmri['AI Temporal']))\n",
    "\n",
    "plt.xlim([-0.15,0.08])\n",
    "plt.tight_layout()\n",
    "plt.savefig('/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/output/figures/figures_2023/corr_7t_pet.pdf')\n",
    "\n",
    "plt.figure()\n",
    "sns.lmplot(x='3T PCC Difference', y='AI Temporal', data=df_pet_fmri)\n",
    "print('Spearman correlation: ', stats.spearmanr(df_pet_fmri['3T PCC Difference'], df_pet_fmri['AI Temporal']))\n",
    "plt.xlim([-0.22,0.10])\n",
    "plt.tight_layout()\n",
    "#plt.savefig('/Volumes/T7_Shield/research/CNT/P18_7T_rsfMRI/output/figures/figures_2023/corr_3t_pet.pdf')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Spearman correlation:  SignificanceResult(statistic=-0.16785714285714282, pvalue=0.5498555542278019)\n",
      "Spearman correlation:  SignificanceResult(statistic=-0.125, pvalue=0.6571356681869504)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(-0.15, 0.08)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "sns.lmplot(x='7T PCC Difference', y='AI SMA', data=df_pet_fmri)\n",
    "print('Spearman correlation: ', stats.spearmanr(df_pet_fmri['7T PCC Difference'], df_pet_fmri['AI SMA']))\n",
    "plt.xlim([-0.15,0.08])\n",
    "\n",
    "plt.figure()\n",
    "sns.lmplot(x='3T PCC Difference', y='AI SMA', data=df_pet_fmri)\n",
    "print('Spearman correlation: ', stats.spearmanr(df_pet_fmri['3T PCC Difference'], df_pet_fmri['AI SMA']))\n",
    "plt.xlim([-0.15,0.08])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "3t_7t",
   "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": "3.8.16"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "f5cf0b7849356bbde10958f2de5d579d43d879c781a7efcc8e4f2db4d7c378c5"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}