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@emckiernan
Created May 17, 2020 18:58
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Phase space reconstruction from ECG recordings\n",
"\n",
"### Ana Daniela del Río Pulido and Erin C. McKiernan\n",
"\n",
"### Facultad de Ciencias, UNAM"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this practical, students will graph and analyze electrocardiogram (ECG) data using Python 3. Raw recordings for this practical can be collected by students, or they can work with existing recordings from our repository. Students will also learn to use the time delay method for reconstructing phase space from a time series.\n",
"\n",
"In the repository there is information of at least 12 people from 20 to 30 years of age. None of them was diagnosed with a cardiac arrythmia, except one. These recordings come in pairs, one is the subject in a resting state and the other recording is the subject after performing exercise. It is important to note that the amount of exercise done by these subjects was not a variable we controlled, it was simply running up and down the stairs. In a future work, we are looking forward into controlling this variable."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Human electrocardiogram\n",
"The human electrocardiogram (ecg) is a physiological signal that is measured by placing electrodes that record the heart's voltage changes. Each part of the obtained signal corresponds to a particular action of the heart [Boron and Boulpaep, 2012] [BackyardBrains, 2017] [Kantz and Schreiber, 2004, pg. 344], this can be seen in the following figure. One period of the electrical signal of the heart is called the PQRST wave complex.\n",
"<img src=\"ecg.png\" width =\"500\" height =\"200\" > "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Setting up the notebook\n",
"\n",
"We begin by setting up the Jupyter notebook and importing the Python modules needed for plotting figures, create animations, etc. We include commands to view plots in the Jupyter notebook, and to create figures with good resolution and large labels. These commands can be customized to produce figures with other specifications."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Imports python libraries\n",
"import numpy as np\n",
"import random as rd\n",
"import wave\n",
"import sys\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.pyplot import figure\n",
"sys.path.insert(1, r'./../functions') # add to pythonpath\n",
"\n",
"#For creating animations and plotting in 3D\n",
"from matplotlib import rc\n",
"import matplotlib.animation as animation\n",
"from JSAnimation import IPython_display\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"\n",
"# commands to create high-resolution figures with large labels\n",
"%config InlineBackend.figure_formats = {'png', 'retina'} \n",
"plt.rcParams['axes.labelsize'] = 16 # fontsize for figure labels\n",
"plt.rcParams['axes.titlesize'] = 18 # fontsize for figure titles\n",
"plt.rcParams['font.size'] = 14 # fontsize for figure numbers\n",
"plt.rcParams['lines.linewidth'] = 1.4 # line width for plotting"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extracting and graphing the data\n",
"\n",
"ECG recordings were obtained using the Backyard Brains Heart and Brain Spiker Box. The recordings are saved as audio files in .wav format. The first thing we have to do is open the .wav files and extract the data. We can extract the number of recording channels, sampling rate, etc."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#Function that extracts the number of recording channels, sampling rate, time and signal\n",
"#variable is the path and filename of the .wav file\n",
"def ecg(variable):\n",
" record = wave.open(variable, 'r') # load the data\n",
"\n",
" # Get the number of channels, sample rate, etc.\n",
" numChannels = record.getnchannels() #number of channels\n",
" numFrames = record.getnframes() #number of frames\n",
" sampleRate = record.getframerate() #sampling rate\n",
" sampleWidth = record.getsampwidth()\n",
" \n",
" # Get wave data\n",
" dstr = record.readframes(numFrames * numChannels)\n",
" waveData = np.frombuffer(dstr, np.int16)\n",
"\n",
" # Get time window\n",
" timeEMG = np.linspace(0, len(waveData)/sampleRate, num=len(waveData))\n",
"\n",
" return timeEMG, waveData"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's plot the raw ECG signal."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
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"text/plain": [
"<Figure size 1296x432 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 378,
"width": 1083
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#Obtaining data\n",
"timeEMG, waveData = ecg(\"S1_rest.wav\")\n",
"\n",
"# Plotting EMG signal\n",
"plt.figure(figsize=(18,6))\n",
"plt.xlabel(r'time (s)')\n",
"plt.ylabel(r'voltage ($\\mu$V)')\n",
"plt.plot(timeEMG,waveData, 'b')\n",
"plt.xlim(0,max(timeEMG))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Find out about how many points make points make up one cycle."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 595,
"width": 1194
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n = 10000\n",
"plt.figure(figsize=(20,10))\n",
"plt.plot(timeEMG[0:n], waveData[0:n])\n",
"plt.xlabel(r'time (s)')\n",
"plt.ylabel(r'voltage ($\\mu$V)')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We know that the average heart rate is 60 to 100 cycles per minute. This is around 1 cycle per second.\n",
"Considering that the heart rate is 60 cycles per minute (1 cycle per second), the number of data points that make up one cycle is 10 000 data points."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Time series\n",
"\n",
"A **time series** is a sequence of measurements of an observable or scalar quantity that changes in time and which depends on the current state of the system. We\n",
"can think about this time series ($s_n$) as a function of the state ($x$) which depends on the n-th measurement at a certain time interval ($∆t$) [Kantz and Schreiber, 2004, pg. 35].\n",
"\n",
"\\begin{equation}\n",
" s_n = s(x(n∆t)) + η_n\n",
"\\end{equation}\n",
" \n",
"Where:\n",
"\n",
"• $s_n$ : observable or scalar quantity\n",
"\n",
"• $η_n$ : noise or random fluctuations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# What do time series and electrocardiogram have in common?\n",
"\n",
"Well, the ecg is precisely a time series of the heart's electric signals! It is very important to study the heart because the leading cause of death globall are cardiovascular diseases. 3 out of 10 deaths are because of heart disease [WHO, 2019]. \n",
"If simpler techniques for studying the heart are developed, more people could be saved from heart failure. With this in mind, we will start uncovering the intricacies of the heart's dynamics."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# A little bit of theory about dynamical systems\n",
"\n",
"Dynamics is the subject that deals with change, *i.e.* with systems that evolve in time. A system could do anything, like: settling to equilibrium, keep repeating cycles or do other complicated patterns [Strogatz, 1994, pg. 2]. For example, a system could be anything as complicated as the human being, a bacteria, global market or even a pendullum (we will come back to this last example later).\n",
"\n",
"<img src=\"pendullum.png\" width =\"200\" height =\"100\" > \n",
"Image taken from: https://i.imgur.com/b2eX4w6.png (Consulted on March 21, 2020)\n",
"\n",
"The **phase space** is a space in which all possible states of a system are represented. *I.e.* each point in phase space represents a possible state of the system. One can think of phase space as completely filled with trajectories. Imagine that every possible state of the system is an initial condition [Strogatz, 1994, pg. 7]. Depending on the system's dynamics is how the system will evolve in time. For example, thing of a pendullum with no friction. A possible state of the system is not moving at all (represented by a point in the following image). Another state of the system is oscillating in a small angle (small oscillations). Another one is completing full turns (represented by the red line). It is important to understand the concept of phase space because the rest of the notebook is based on this concept. If it is not clear, make a quick Google search about this concept.\n",
"\n",
"<img src=\"phase_space_pendullum.png\" width =\"400\" height =\"150\" > \n",
"Image taken from: https://www.researchgate.net/profile/Rowena_Ball/publication/2148876/figure/fig5/AS:668675875041284@1536436160306/The-phase-space-of-the-simple-pendulum.png (Consulted on March 23, 2020)\n",
"\n",
"\n",
"The phase space does not necessarily have to be a plane or three-dimensional. Its dimension is the number of variables needed to characterize the state of the system [Strogatz, 1994, pg. 9].\n",
"\n",
"Sometimes, a system is on a state that if it remains unperturbed, it will stay forever in this state. This is called a fixed point and there are two kinds: attractos and repellers. An **attractor** is a point in the state space where given an initial condition, the system will eventually get to the fixed point. In the pendullum example, the attractor is when it is hanging in a 90 degree angle with respect to the floor. Imagine the pendullum started at a different angle and was not perturbed by any outside factor, then it would oscillate forever in that cycle.\n",
"\n",
"\n",
"The attractor of a system does not necesarrily have to be a single point or cycle. Sometimes it takes different and beautiful forms. Have you ever seen the movie: **The butterfly effect**? It is based on the following image. It is the attractor of a system called the Lorenz system. As you can see, it looks nothing like a point. Observe how the attractor of a system can take any shape.\n",
"<img src=\"Lorentz_attractor.png\" width =\"200\" height =\"100\" > \n",
"Image taken from: https://upload.wikimedia.org/wikipedia/commons/7/71/Lorenz_system_r28_s10_b2-6666.png (Consulted on March 21, 2020)\n",
"\n",
"In general, the attractor of a system is N-dimensional. This can lead to visualization problems because of human's perceptual limitations. Througout the notebook, we are going to be restricted to 2 or 3 dimensional slices of the phase space, that is were the attractors are. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Phase space reconstruction\n",
"\n",
"How can you reconstruct the phase space of a system if you only have a time series of one of the system's variables?\n",
"\n",
"Very simple! Other people have thought about that and we can use what they have discovered. There is a very famous article in Dynamical Systems called Embedology from Sauer et al. in 1991. They assure that given the time series of only one observed quantity, it is possible to reconstruct the attractor (which lies in phase space) [Sauer et al., 1991,\n",
"pp. 580]. \n",
"\n",
"There are various methods for reconstructing the attractor, a now famous one is the principal-component analysis [Broomhead and King, 1986] [Savi, 2005, pg.\n",
"635]. Nevertheless, we will focus on the **method of delay**, also called Taken's theorem [Takens, 1981]. The theorem is the following:\n",
"\n",
"Let $A$ be an attractor that lies in an N-dimensional compact manifold $M \\subset \\mathbb{R}^n$. Define a reconstruction function $F:M\\rightarrow \\mathbb{R}^{2N+1}$ as\n",
" \\begin{equation}\n",
" F(x) := [\\phi_0^{(j)}(x) \\phi_\\tau^{(j)}(x) ... \\phi_{2N\\tau}^{(j)}(x)]^T\n",
" \\end{equation}\n",
" Where $\\phi_t^{(j)}(x)$ is the $j$th component of $\\phi_t(x)$, $j$ is arbitrary and $\\tau > 0$ is the sampling period chosen arbitrarily.\n",
" \n",
" (Notice that $\\phi_t(x)$ is an observable or scalar quantity. This is precisely our time series. $\\phi_t^{(j)}(x)$ represents the $j$th component of this time series.)\n",
" \n",
" F is an embedding, *i.e.* F diffeomorphically maps M onto some compact N-dimensional manifold $M' \\subset \\mathbb{R}^{2N+1}$. (This is the beauty of this theorem, that this function F exists between the observable and the attractor.)\n",
" \n",
" So, given a sequence $\\{y_k\\} := \\{\\phi_{k\\tau}^{(j)}\\}_{k=1}^\\kappa$ that corresponds to a uniformly time-sampled component of a trajectory that lies on an attractor A, the sequence of points\n",
"\n",
"\\begin{align*} \n",
" [y_0 y_1 ... y_{2N}]^T\n",
" \\\\\n",
" [y_1 y_2 ... y_{2N+1}]^T\n",
" \\\\\n",
" \\vdots\n",
" \\\\\n",
" [y_i y_{i+1} ... y_{i+2N}]^T\n",
" \\\\\n",
" \\vdots\n",
" \\\\\n",
" [y_{K-2N} y_{K-2N+1} ... y_{K}]^T\n",
"\\end{align*}\n",
"\n",
" lies on a diffeomorphic copy of A [Parker and Chua, 2012, pp. 191].\n",
" \n",
" ($\\{y_k\\}$ is the reconstructed attractor we are looking for.) \n",
" \n",
" In essence, this theorem states that a function exists between an observable of a system and its attractor.\n",
" \n",
" ### Time lag\n",
" \n",
" The **time lag** ($\\tau$) is the difference between two data samples and it is called lag or delay time. It has no relevance in the mathematical framework, so there is no formal way of obtaining its optimal value. Nevertheless, $\\tau$ is relevant in practice [Sauer, 2006] [Parker and Chua, 2012, pp. 195].\n",
" \n",
" • If $\\tau$ is small compared to the system's internal time scales, then successive elements of the delay vectors are strongly correlated. The attractor is clustered around the diagonal of the reconstruction space.\n",
"\n",
" • If $\\tau$ is large, successive elements are almost independent or uncorrelated. The attractor's structure disappears or is very complicated.\n",
"\n",
" • If $\\tau$ is close to a periodicity of the system, the component with that period will be underrepresented.\n",
"\n",
"Taken's theorem has been used widely in physiology. In the following work it will be used for data series of a human electrocardiogram. However, there are other studies in which it has been used to reconstruct the attractor of the arterial blood pressure, for example see: [Charlton et al., 2015] [Aston et al., 2018].\n",
"\n",
"Notice the following observation, the attractor lies in phase space. So if we are reconstructing the attractor, we can say that in general, we are reconstructing a part of phase space. We will refer to the reconstruction of phase space in the rest of the notebook. This will be relevant because when reconstructing the heart's phase space, we cannot say that this is the attractor. In some cases, this phase space does not have a defined shape, it simply looks like a mass of uncorrelated points. And this cannot be the attractor."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Funcion original, funcion al cuadrado, a y b\n",
"\n",
"# Getting down to business\n",
"\n",
"## Reconstruction of two artificial time series\n",
"\n",
"We will create two artificial time series, $a$ and $b$:\n",
"\n",
"The first contains uniformly distributed random numbers in the interval $[0, 1]$:\n",
"\n",
"\\begin{equation}\n",
" \\{a_n , n = 1, . . . , 4096\\}\n",
"\\end{equation}\n",
" \n",
"The second series is based on the deterministic evolution of $x_n$ which follows the rules $x_0 = 0.1$ and $x_{n+1} = 1 − 2x^2_n$. The values $x_n$ are not measured directly but through the nonlinear observation function $b_n = \\arccos(−x_n)/π$.\n",
"\n",
"\\begin{equation}\n",
" \\{b_n , n = 1, . . . , 4096\\}\n",
"\\end{equation}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First time series $a$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"4096\n",
"[0.3055437 0.34271568 0.53824727 ... 0.0015469 0.0200194 0.96422524]\n"
]
}
],
"source": [
"n = 4096\n",
"a = np.zeros(n) #Generates a vector of 4096 entries full of zeros\n",
"print(np.size(a)) # Displays the size of this vector\n",
"\n",
"for i in range(0,n): \n",
" a[i] = rd.uniform(0, 1) #Asigns a random value between [0, 1] to the n-value of x\n",
"print(a) # The first of the two time series"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We need to check that a's elements are in the interval $[0, 1]$."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The maximum value of eta is: 0.9999542188058755\n",
"The minimum value of eta is: 0.00029168594091144584\n"
]
}
],
"source": [
"print(\"The maximum value of a is: \"+str(max(a)))\n",
"print(\"The minimum value of a is:\",min(a))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Second time series $b$\n",
"\n",
"${b_n , n = 1, . . . , 4096}$ is based on the deterministic evolution of $x_n$ which follows the rules x$_0 = 0.1$ and $x_{n+1} = 1 − 2x^2_n$."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def x_next(x): #Generating a function for returning the next value of x_n\n",
" return 1-2*x**2"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x0 = 0.1\n",
"xn = np.zeros(n) #Initiating the xn with zero values\n",
"xn[0] = x0\n",
"\n",
"for i in range(1,n): \n",
" xn[i] = x_next(xn[i-1]) # The series xn"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The values $x_n$ is measured through the nonlinear observation function $b_n = \\arccos(−x_n)/π$."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"b = np.arccos(-xn)/np.pi #Second time series"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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