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spy notebook
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"hide_input": false
},
"outputs": [],
"source": [
"get_ipython().magic('matplotlib inline')\n",
"import pandas;\n",
"import matplotlib;\n",
"import matplotlib.pyplot as plt\n",
"import scipy.io;\n",
"import numpy as np\n",
"from matplotlib.pylab import rcParams\n",
"import math\n",
"from scipy import signal\n",
"import scipy.stats\n",
"\n",
"from scipy.stats import norm\n",
"from scipy.stats import describe\n",
"from sklearn.neighbors import KernelDensity\n",
"\n",
"rcParams['figure.figsize'] = 10, 8\n",
"rcParams['figure.dpi'] = 300;\n",
"rcParams['lines.linewidth'] = 2.2;\n",
"plt.style.use('fivethirtyeight');"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Automatic pdb calling has been turned ON\n"
]
}
],
"source": [
"get_ipython().magic('pdb')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def synthetic_neuron(drive):\n",
" \"\"\"\n",
" Simulates a mock neuron with a time step of 1ms.\n",
" Arguments:\n",
" drive - input to the neuron (expect zero mean; SD=1)\n",
" Returns:\n",
" rho - response function (0=non-spike and 1=spike at each time step)\n",
" \"\"\"\n",
" dt = .001\n",
" T = dt*len(drive)\n",
" time = np.arange(0, T, dt)\n",
" lagSteps = .02/dt\n",
" drive = np.concatenate((np.zeros(lagSteps), drive[lagSteps:])) \n",
" system = scipy.signal.lti([1], [.03**2, 2*.03, 1])\n",
" _, L, _ = scipy.signal.lsim(system, drive[:,np.newaxis], time) \n",
" rate = np.divide(30, 1 + np.exp(50*(.05-L)))\n",
" spikeProb = rate*dt\n",
" return np.random.rand(len(spikeProb)) < spikeProb\n",
"\n",
"def gaussian(x, mu, var):\n",
" return np.exp(-np.power(x-mu, 2.)/(2*var))\n",
"\n",
"def plot_spike_raster(trial, spikeTimes, ax):\n",
" rep_trials = np.repeat(trial, np.size(spikeTimes))\n",
" sizes = np.ones(len(spikeTimes))*60;\n",
" ax.axhline(y=trial, linewidth=0.3);\n",
" ax.scatter(spikeTimes, np.array([rep_trials]), marker='|', alpha=0.9,\n",
" color='black', s=sizes);\n",
"\n",
"def plot_psth(spikeTimes, num_bins, ax2, **kwargs):\n",
"# counts = ax2.hist(spikeTimes, bins = num_bins, **kwargs);\n",
" hist1, bin1 = np.histogram(spikeTimes, bins=num_bins)\n",
" bincens = 0.5*(bin1[1:] + bin1[:-1])\n",
" width = (bin1[1] - bin1[0]);\n",
" ax2.bar(bincens, hist1, align='center', width=width, alpha=0.8);\n",
" return (hist1, bincens);\n",
"\n",
"def set_axis_range(series, func):\n",
" minmax = scipy.stats.describe(series).minmax;\n",
" func([math.floor(minmax[0]-minmax[0]/5), math.ceil(minmax[1]+minmax[1]/5)])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1a\n",
"Load the synthetic data file MT direction tuning. The file contains two\n",
"variables: “direction” is a list of stimulus directions for 200 trials."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"tuning_data = scipy.io.loadmat('MT direction tuning.mat');"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sptimes = 1000*tuning_data['spikeTimes'][0];\n",
"directions = tuning_data['direction'];\n",
"# print(directions.shape, sptimes.shape)\n",
"num_rows = np.array([x.shape[1] for x in sptimes]).sum();\n",
"df_cols = ['trial','direction', 'timestamp'];\n",
"sp_tr_list = [];\n",
"for j in range(0, directions.shape[1]):\n",
" sp_tr = sptimes[j].T;\n",
" direcn = directions[:, j];\n",
" for k in range(0, sp_tr.shape[0]):\n",
" sp = sp_tr[k,:];\n",
" dict1 = {'trial': j+1, 'direction': direcn.tolist()[0], \n",
" 'timestamp': sp.tolist()[0]};\n",
" sp_tr_list.append(dict1);\n",
"df = pandas.DataFrame(sp_tr_list, index=np.arange(0, num_rows), columns = df_cols);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1b \n",
"Plot the spike raster and multi trial firing rate (5ms bins) for 0° trials.\n",
"Trial length is 2s."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
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ZjB07Vvf1gSIGDx6Mjz76KGDZyZMn8fnnn2PYsGGW83fqvGDXcWuk/xBdzHhrClEQtWrV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"text/plain": [
"<matplotlib.figure.Figure at 0x109927ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"zrdf = df[df.direction==0]; zrdf.shape\n",
"f, ax = plt.subplots(2,1, sharex=True)\n",
"f.tight_layout();\n",
"ax[0].set_xlim([0,2000])\n",
"ax[0].set_ylim([0,200])\n",
"ax[0].set_title('Multi Trial Spike Raster for $0\\degree$ trials')\n",
"\n",
"dt = 5; #5ms sampling\n",
"trial_length = 2000; #ms\n",
"num_bins = trial_length/dt; #5 ms bins\n",
"num_samples = 200; \n",
"\n",
"t_plot = np.arange(0, 2005, dt);\n",
"\n",
"zrdf.plot.scatter(ax=ax[0], x='timestamp', y='trial', marker='|', alpha=0.8,\n",
" s=np.ones(len(zrdf))*20, linewidth=.8, color='k');\n",
"\n",
"\n",
"# dont have to do any of the following stuff since the scaled counts is \n",
"# equal to actual counts in this case (5ms sampling period)\n",
"# counts, binedges = np.histogram(zrdf['timestamp'], bins=int(num_bins));\n",
"# counts = 1000/(num_samples*trial_length)*counts; #convert to Hz\n",
"# print(counts)\n",
"# center = (binedges[:-1] + binedges[1:]) / 2;\n",
"# width = (binedges[1]-binedges[0]);\n",
"# ax[1].bar(center, counts, align='center', width=width);\n",
"\n",
"plot_psth(zrdf['timestamp'].values, num_bins, ax[1], )\n",
"\n",
"ax[1].set_ylabel('Number of spikes/ms');\n",
"ax[1].set_title('Multi-trial firing rate for $0\\degree$ trials')\n",
"ax[1].set_xlabel('Time [ms]');\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Use Gaussian window functions to generate single trial rate estimates"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1c\n",
"Plot together the single trial rate estimate for trial 9 using a Gaussian\n",
"kernels with SD=5ms and SD=50ms. (Use an appropriate sampling period of your choice for which the rate fluctuations are not visibly distorted in the plot.)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [
{
"data": {
"image/png": 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2AfI/9+r+XJelvZLOm7LHQlH7gPzjUNKxqYg5pK5zoc5zUN79lVRflXP+4c+l4sormgOl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\nw5w5c1BaW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l1537hxI8LDwyEWixETE4PMzEyL5S9fvowRI0YgKCgIffr0QXJyslmZjIwM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\nEEIIIYQQTuL/AZ6MEoin8MrJAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bdd8da0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t9_df = df[df.trial == 9];\n",
"\n",
"num_bins2 = 30\n",
"fig1, axx = plt.subplots(4,1, sharex=True)\n",
"fig1.tight_layout();\n",
"t9_df.plot(kind='scatter', ax=axx[0], x='timestamp', y = 'trial', marker='|', alpha=0.8,\n",
" s=np.ones(len(t9_df))*60, linewidth=.8, color='k')\n",
"# t9_df.timestamp.hist(ax=axx[1], bins = int(num_bins2), histtype='step');\n",
"# plot_psth(t9_df.timestamp.values, num_bins2, axx[1]);\n",
"axx[1].set_title('Spike time histogram for Trial 9');\n",
"\n",
"\n",
"std_dev1 = 5; \n",
"std_dev2 = 50; # in seconds\n",
"len_gauss = 5;\n",
"x_plot = np.linspace(0, 2000, num_bins)[:, np.newaxis]\n",
"x_fit = t9_df.timestamp.reshape(-1,1);\n",
"\n",
"kde_1 = KernelDensity(kernel='gaussian', bandwidth=std_dev1).fit(x_fit);\n",
"smooth1 = np.exp(kde_1.score_samples(x_plot));\n",
"axx[2].fill(x_plot[:, 0], smooth1, fc='#AAAAFF')\n",
"axx[2].set_title('Rate Estimate For Single Trial 5 ms kernel');\n",
"axx[2].set_xlim([0, 2000])\n",
"\n",
"kde_2 = KernelDensity(kernel='gaussian', bandwidth=std_dev2).fit(x_fit);\n",
"smooth2 = np.exp(kde_2.score_samples(x_plot));\n",
"axx[3].fill(x_plot[:, 0], smooth2, fc='#AAAAFF')\n",
"axx[3].set_title('Rate Estimate For Single Trial 50 ms kernel');\n",
"axx[3].set_xlim([0, 2000]);\n",
"axx[3].set_xlabel('Time [ms]');\n",
"\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1d\n",
"Plot the tuning curve with standard deviation error bars using data from 50 250ms. (Tip: use a library function to find unique direction values.)\n",
"\n",
"If direction is represented by $s$, the tuning curve maybe found by plotting the following function,\n",
"$$f(s) = [r_0 +(r_{max} - r_0)cos(s−s_{max})]_+ $$, where $r_0$ is an offset, $r_{max}$ is the maximum response corresponding with a stimulus value $s_{max}$"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"all_directons = list(set(df.direction));\n",
"duration = 0.2; #in seconds from 50ms to 250ms\n",
"t_dict = [];\n",
"tuning_dat = []; \n",
"for tr in set(df.trial):\n",
" tr_df = df[df.trial == tr]; # all timestamps for trial\n",
" tr_df_window = tr_df.query('timestamp >= 50.0 & timestamp <= 250.0'); \n",
" tr_spike_rate = tr_df_window.shape[0]/duration;\n",
" tr_dict = {'direction': list(set(tr_df.direction))[0], 'rate': tr_spike_rate};\n",
" t_dict.append(tr_dict);\n",
"\n",
"t_df = pandas.DataFrame(t_dict, index=np.arange(0, len(t_dict)), columns = ['direction', 'rate']);\n",
"for each_dir in all_directons:\n",
" max_rate = t_df[t_df.direction == each_dir].rate.max();\n",
" tuning_dat.append({'direction': each_dir, 'rate': max_rate});\n",
"tune_df = pandas.DataFrame(tuning_dat, index=np.arange(0, len(tuning_dat)), columns =['direction', 'rate']);\n",
"tune_df = tune_df.sort_values(['direction'])"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0, 360)"
]
},
"execution_count": 68,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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684w2ur2eCt7ZPx3TG+lFtJQBAACvRrD1MxN6hGla/7oVvC/+WsHrINwCAAAv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\nKwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b8a4860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f,ax = plt.subplots();\n",
"# ax.plot(tune_df.direction, tune_df.rate)\n",
"tune_df.plot(ax = ax, x='direction', y='rate')\n",
"ax.set_title('Tuning Curve');\n",
"ax.set_xlabel('Direction [deg]')\n",
"ax.set_ylabel('rate [Hz]')\n",
"ax.set_xlim([0, 360])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1e\n",
"bSearch the electrophysiology literature to find a (real) tuning curve from a mouse. Include and explain a figure that shows the tuning curve.\n",
"![title](mouse_tuning.png)\n",
"\n",
"The above figure, obtained from <http://www.jneurosci.org/content/28/30/7520.full>, titled Highly Selective Receptive Fields in Mouse Visual Cortex, shows orientation selectivity for primary visual cortex neurons for episodic stimuli of drifting bars at various orientations. The studied neuron exhibited a tendency to select for linearly oriented stimuli, as evident in the sub figure B, where the tuning curve peaks around 202 degrees\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Spike Triggered Averages\n",
"Load the c1p8 data file. This data is from Dayan & Abbott’s web site and\n",
"contains H1 neuron spike data collected by de Ruyter van Steveninck. There are two variables: “stim” is stimulus velocity, and “rho” is the response function (Δt=2ms)."
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(600000, 1)"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# cpdat = scipy.io.loadmat('c1p8.mat');\n",
"cpdat['stim'].shape"
]
}
],
"metadata": {
"hide_input": false,
"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": "3.5.1"
},
"latex_envs": {
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 0
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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