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@jajcayn
Created October 2, 2017 01:25
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import scipy.io as sio\n",
"import numpy as np\n",
"import scipy.stats as sts\n",
"import matplotlib.pyplot as plt\n",
"import sys\n",
"sys.path.append(\"/Users/nikola/work-nudz/SCmodelsFC\")\n",
"from fc_models import SCmodelsFC\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(245)\n",
"\n",
"CRIT_DIFF = 0.0005\n",
"\n",
"def get_AALatlas(fname):\n",
" import csv\n",
" AALatlas = {}\n",
"\n",
" f = open(fname)\n",
" reader = csv.reader(f, delimiter = \" \")\n",
"\n",
" for line in reader:\n",
" line = filter(None, line)\n",
" line[0] = int(line[0])\n",
" AALatlas[line[0]] = {}\n",
" AALatlas[line[0]]['name'] = line[1]\n",
" AALatlas[line[0]]['x'] = line[-3]\n",
" AALatlas[line[0]]['y'] = line[-2]\n",
" AALatlas[line[0]]['z'] = line[-1]\n",
" AALatlas[line[0]]['abbr'] = line[-7]\n",
"\n",
" f.close()\n",
"\n",
" return AALatlas\n",
"\n",
"atlas = get_AALatlas(\"AALatlas-coordinates.tsv\")\n",
"AALatlas = []\n",
"for i in range(len(atlas)):\n",
" AALatlas.append(atlas[i+1]['abbr'])\n",
"\n",
"\n",
"# OUR DATA\n",
"data = sio.loadmat(\"../data_FC_SC_203subjects.mat\")\n",
"sc = data['SC'] # subj x 90 x 90\n",
"fc = data['FC']\n",
"# model = SCmodelsFC(sc = sc.copy(), fc = fc, symm = True, normalize = NORM, threshold = None, single_hemisphere = SINGLE_HEMI)\n",
"# cbest = 0.6158\n",
"# cbest = 1.2765 # just before the criticality\n",
"# cbest = 1./np.max(np.real(np.linalg.eigvals(model.meanSC))) - CRIT_DIFF\n",
"\n",
"# OUR DATA new FC\n",
"data = sio.loadmat(\"../Nikola_eso_aal_90.mat\")['subj_tcs']\n",
"sc = sc[np.random.choice(sc.shape[0], data.shape[-1]), ...]\n",
"fc = np.zeros_like(sc)\n",
"for subj in range(data.shape[-1]):\n",
" fc[subj, ...] = np.corrcoef(data[:, :, subj], rowvar = 0)\n",
"\n",
"\n",
"n_rois = sc.shape[-1]\n",
"# order as DK atlas of Jirsa, first right hemi, then left in reverse order\n",
"ndx = list(np.array(list(np.arange(0, n_rois, 2)) + list(np.arange(n_rois-1, 0, -2)))[::-1])\n",
"sc = sc[:, ndx, :]\n",
"sc = sc[:, :, ndx]\n",
"fc = fc[:, ndx, :]\n",
"fc = fc[:, :, ndx]\n",
"AALlabels = [AALatlas[i] for i in ndx]\n",
" \n",
"model = SCmodelsFC(sc = sc, fc = fc, symm = True, normalize = False, threshold = None, single_hemisphere = False)\n",
"cbest = 1./np.max(np.real(np.linalg.eigvals(model.meanSC))) - CRIT_DIFF "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"data = sio.loadmat(\"../Saggio_et_al_LinearModel_code_and_data/DATA.mat\")['emp']\n",
"no_subjs = data.shape[1]\n",
"no_rois = data[0, 0][0].shape[0]\n",
"sc = np.zeros((no_subjs, no_rois, no_rois))\n",
"fc = np.zeros_like(sc)\n",
"for subj in range(data.shape[1]):\n",
" sc[subj, ...] = data[0, subj][0].copy()\n",
" for i in range(sc.shape[1]):\n",
" sc[subj, i, i] = 0\n",
" fc[subj, ...] = np.corrcoef(data[0, subj][1], rowvar = 0)\n",
"\n",
"model2 = SCmodelsFC(sc = sc.copy(), fc = fc.copy(), symm = True, normalize = False, threshold = None, single_hemisphere = False)\n",
"# cbest3 = 1.059\n",
"cbest2 = 1./np.max(np.real(np.linalg.eigvals(model2.meanSC))) - CRIT_DIFF \n",
"\n",
"DKatlas = np.loadtxt(\"dk-atlas.txt\", delimiter = ',', dtype = np.str)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x112703910>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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Y7r/rBTf58fc8v9vXr+SnP3vtna78g+uf7MrN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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106373f90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20,10))\n",
"plt.suptitle(\"JIRSA ~ near criticality\", size = 26)\n",
"plt.subplot(131)\n",
"plt.imshow(model2.meanSC)\n",
"plt.title(\"SC\", size = 20)\n",
"aFC = model2._get_FC_analytical(sc = model2.meanSC, c = cbest2)\n",
"plt.colorbar(shrink=0.3)\n",
"plt.subplot(132)\n",
"plt.imshow(aFC)\n",
"plt.title(\"aFC ~crit\", size = 20)\n",
"plt.colorbar(shrink=0.3)\n",
"plt.subplot(133)\n",
"plt.imshow(model2.meanFC)\n",
"plt.title(\"empFC\", size = 20)\n",
"plt.colorbar(shrink=0.3)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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gADgFldvLL79c9AAwU1CnPzweT9aunHoQZQ+m9Id5DGCmh8/nk/b2dvH5fMZ4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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10977aa50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"ROIs which are on the border -- very low analytical FC\n",
"[['rENT' 'right entorhinal cortex']\n",
" ['rPARH' 'right parahippocampal cortex']\n",
" ['rTP' 'right temporal pole']\n",
" ['rFP' 'right frontal pole']]\n",
"[['lFP' 'left frontal pole']\n",
" ['lTP' 'left temporal pole']\n",
" ['lPARH' 'left parahippocampal cortex']\n",
" ['lENT' 'left entorhinal cortex']]\n"
]
}
],
"source": [
"# inside\n",
"y, x = np.ogrid[4:62, 4:62]\n",
"plt.figure(figsize=(15,6))\n",
"plt.suptitle(\"JIRSA ~ near criticality\", size = 26)\n",
"plt.subplot(121)\n",
"plt.scatter(model2.meanSC[x, y], aFC[x, y], color = 'k', marker = 'x', label = \"other data points\")\n",
"plt.scatter(model2.meanSC[:4, :4], aFC[:4, :4], color = 'red', marker = \"o\", label = \"low aFC [border] data points\")\n",
"plt.scatter(model2.meanSC[62:, 62:], aFC[62:, 62:], color = 'red', marker = \"o\")\n",
"plt.xlabel(\"SC\", size = 16)\n",
"plt.legend()\n",
"plt.ylabel(\"aFC ~crit\", size = 16)\n",
"# plt.axes().set_aspect('equal')\n",
"plt.subplot(122)\n",
"plt.scatter(model2.meanSC[x, y], model2.meanFC[x, y], color = 'k', marker = 'x', label = \"other data points\")\n",
"plt.scatter(model2.meanSC[:4, :4], model2.meanFC[:4, :4], color = 'red', marker = \"o\", label = \"low aFC [border] data points\")\n",
"plt.scatter(model2.meanSC[62:, 62:], model2.meanFC[62:, 62:], color = 'red', marker = \"o\")\n",
"plt.legend()\n",
"plt.xlabel(\"SC\", size = 16)\n",
"plt.ylabel(\"empFC\", size = 16)\n",
"plt.show()\n",
"\n",
"print \"ROIs which are on the border -- very low analytical FC\"\n",
"print DKatlas[:4, :]\n",
"print DKatlas[62:, :]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(14, 66, 66) 14\n"
]
}
],
"source": [
"# model for every subject separately\n",
"aFC_subj = np.zeros_like(model2.FC)\n",
"print model2.SC.shape, model2.no_subjects\n",
"for subj in range(model2.no_subjects):\n",
" c = 1./np.max(np.real(np.linalg.eigvals(model2.SC[subj, ...]))) - CRIT_DIFF\n",
" aFC_subj[subj, ...] = model2._get_FC_analytical(sc = model2.SC[subj, ...], c = c)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Ikdxzzz0rDsqgdLOaNWsWs2bNYsCAAZ2Kbdy4cWyyySZsuummvOtd71px4Ddk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\nUJIkSZI64v8BXB7zAB478osAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109b8a650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,6))\n",
"plt.subplot(131)\n",
"plt.scatter(model2.SC[:, :4, :4], aFC_subj[:, :4, :4], color = 'red', marker = 'o', label = \"low aFC [border] data points\")\n",
"plt.scatter(model2.SC[:, 62:, 62:], aFC_subj[:, 62:, 62:], color = 'red', marker = 'o')\n",
"plt.legend()\n",
"plt.xlabel(\"SC\", size = 16)\n",
"plt.title(\"ALL subjects\", size = 20)\n",
"plt.ylabel(\"aFC ~crit\", size = 16)\n",
"\n",
"plt.subplot(132)\n",
"data = np.array(list(model2.SC[:, :4, :4]) + list(model2.SC[:, 62:, 62:])).flatten()\n",
"plt.title(\"SC hist | ALL subjects\", size = 20)\n",
"plt.hist(data, bins = 15, label = \"low aFC only\")\n",
"plt.legend()\n",
"\n",
"plt.subplot(133)\n",
"data = np.array(list(aFC_subj[:, :4, :4]) + list(aFC_subj[:, 62:, 62:])).flatten()\n",
"plt.title(\"aFC hist | ALL subjects\", size = 20)\n",
"plt.hist(data, bins = 15, label = \"low aFC only\")\n",
"plt.legend()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# weakly connected areas\n",
"\n",
"entorhinal [ENT], parahippocampal [PARH], temporal [TP] and frontal poles [FP] in DK atlas --http://www.pnas.org/content/suppl/2009/02/02/0811168106.DCSupplemental/0811168106SI.pdf#nameddest=SF1\n",
"\n",
"closest AAL areas would be:\n",
"* 39,40 - Parahippocampal gyrus -- compare with *PARH*\n",
"* 83,84 - Temporal pole: superior temporal gyrus -- compare with *TP*\n",
"* 87,88 - Temporal pole: middle temporal gyrus -- compare with *TP*"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"19 70\n",
"41 48\n",
"43 46\n"
]
},
{
"data": {
"image/png": 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n84GO+8QTTwCAbfU5cuSI6/177rkHIyMj2LVrly1Y9DGczM7OIhqNolgsYnR0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\nrS8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x104e6e050>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# parahipp\n",
"print AALlabels.index(\"PHG.R\"), AALlabels.index(\"PHG.L\")\n",
"# TP\n",
"print AALlabels.index(\"TPOsup.R\"), AALlabels.index(\"TPOsup.L\")\n",
"print AALlabels.index(\"TPOmid.R\"), AALlabels.index(\"TPOmid.L\")\n",
"ndxs = [19, 70, 41, 48, 43, 46]\n",
"selectSC = model.meanSC[ndxs, :]\n",
"selectFC = model.meanFC[ndxs, :]\n",
"plt.figure(figsize=(15,6))\n",
"plt.suptitle(\"OUR DATA ~ near criticality\", size = 26)\n",
"plt.subplot(121)\n",
"aFC2 = model._get_FC_analytical(sc = model.meanSC, c = cbest)\n",
"selectAFC = aFC2[ndxs, :]\n",
"plt.scatter(model.meanSC, aFC2, color = 'k', marker = 'x')\n",
"plt.scatter(selectSC[:, ndxs], selectAFC[:, ndxs], color = 'red', marker = \"o\")\n",
"plt.xlabel(\"SC\", size = 16)\n",
"plt.ylabel(\"aFC ~crit\", size = 16)\n",
"plt.subplot(122)\n",
"plt.scatter(model.meanSC, model.meanFC, color = 'k', marker = 'x')\n",
"plt.scatter(selectSC[:, ndxs], selectFC[:, ndxs] , color = 'red', marker = \"o\")\n",
"plt.xlabel(\"SC\", size = 16)\n",
"plt.ylabel(\"empFC\", size = 16)\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.14"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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