{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# E164: Introduction to Biological System Design\n", "## Introduction to Biological Data Analysis\n", "### Ayush Pandey\n", "\n", "If you have not setup your computer to run this notebook, make sure to follow steps here: https://docs.google.com/document/d/1js7XQbjorU5LCIoWfrzkUCXjjQkVcITkT0N8osiy4Go/edit?usp=sharing\n", "\n", "The purpose of this interactive Python notebook is to introduce basic data analysis tools available in Python with the help of biological data examples.\n", "\n", "If you have installed numpy, scipy, matplotlib, and pandas already, then you are all set to run this notebook." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Data Analysis with Python\n", "## Introduction to Pandas\n", "\n", "You can think of Pandas as the Python data-management library. It can be used to manage large quantities of data in a structured way so you don't get lost and provides functions to retreive/store/edit your data so that it is easily interfaced with numerical, scientific, and plotting libraries.\n", "\n", "More information on Pandas here: https://pandas.pydata.org/pandas-docs/stable/\n", "\n", "Data is often stored as .csv files. Here's how to import a CSV file with Pandas and structure the data as desired." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "\n", "url = 'https://raw.githubusercontent.com/biocircuits/bioscrape/master/inference%20examples/data/od_data.csv'\n", "# To import a CSV file, you can use the `read_csv` function. \n", "# Either provide a URL as its input or a string of address to the CSV file on your local machine.\n", "df = pd.read_csv(url)\n", "# You get a \"dataframe\" object out that contains all of the data in the CSV file" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### In an IPYNB (like this one), the Pandas dataframes are nicely formatted:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TimetA1A2A3A4A5A6A7A8A9A10A11A12
00:09:199.320.0860.0870.0880.0950.0910.0890.0900.0850.0900.0900.0880.091
10:19:1919.320.0860.0900.0890.0900.0910.0920.0910.0860.0920.0920.0880.090
20:29:1929.320.0860.0880.0900.0890.0890.0920.0930.0870.0890.0930.0890.092
30:39:1939.320.0880.0900.0910.0900.0920.0930.0960.0880.0910.0930.0900.094
40:49:1949.320.0890.0920.0930.0920.0940.0960.0990.0910.0930.0940.0940.096
.............................................
6811:29:19689.320.5430.5620.6140.6040.5730.5660.6150.5720.5700.5660.5680.606
6911:39:19699.320.5430.5630.6150.6050.5740.5680.6160.5720.5700.5680.5690.607
7011:49:19709.320.5450.5640.6160.6060.5740.5690.6170.5750.5720.5680.5700.608
7111:59:19719.320.5440.5650.6170.6070.5750.5700.6180.5760.5730.5700.5700.609
7212:09:19729.320.5440.5660.6180.6080.5760.5710.6190.5770.5740.5700.5710.610
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73 rows × 14 columns

\n", "
" ], "text/plain": [ " Time t A1 A2 A3 A4 A5 A6 A7 A8 \\\n", "0 0:09:19 9.32 0.086 0.087 0.088 0.095 0.091 0.089 0.090 0.085 \n", "1 0:19:19 19.32 0.086 0.090 0.089 0.090 0.091 0.092 0.091 0.086 \n", "2 0:29:19 29.32 0.086 0.088 0.090 0.089 0.089 0.092 0.093 0.087 \n", "3 0:39:19 39.32 0.088 0.090 0.091 0.090 0.092 0.093 0.096 0.088 \n", "4 0:49:19 49.32 0.089 0.092 0.093 0.092 0.094 0.096 0.099 0.091 \n", ".. ... ... ... ... ... ... ... ... ... ... \n", "68 11:29:19 689.32 0.543 0.562 0.614 0.604 0.573 0.566 0.615 0.572 \n", "69 11:39:19 699.32 0.543 0.563 0.615 0.605 0.574 0.568 0.616 0.572 \n", "70 11:49:19 709.32 0.545 0.564 0.616 0.606 0.574 0.569 0.617 0.575 \n", "71 11:59:19 719.32 0.544 0.565 0.617 0.607 0.575 0.570 0.618 0.576 \n", "72 12:09:19 729.32 0.544 0.566 0.618 0.608 0.576 0.571 0.619 0.577 \n", "\n", " A9 A10 A11 A12 \n", "0 0.090 0.090 0.088 0.091 \n", "1 0.092 0.092 0.088 0.090 \n", "2 0.089 0.093 0.089 0.092 \n", "3 0.091 0.093 0.090 0.094 \n", "4 0.093 0.094 0.094 0.096 \n", ".. ... ... ... ... \n", "68 0.570 0.566 0.568 0.606 \n", "69 0.570 0.568 0.569 0.607 \n", "70 0.572 0.568 0.570 0.608 \n", "71 0.573 0.570 0.570 0.609 \n", "72 0.574 0.570 0.571 0.610 \n", "\n", "[73 rows x 14 columns]" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Accessing the dataframe in arrays:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "time_array = np.array(df['t'])" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 9.32, 19.32, 29.32, 39.32, 49.32, 59.32, 69.32, 79.32,\n", " 89.32, 99.32, 109.32, 119.32, 129.32, 139.32, 149.32, 159.32,\n", " 169.32, 179.32, 189.32, 199.32, 209.32, 219.32, 229.32, 239.32,\n", " 249.32, 259.32, 269.32, 279.32, 289.32, 299.32, 309.32, 319.32,\n", " 329.32, 339.32, 349.32, 359.32, 369.32, 379.32, 389.32, 399.32,\n", " 409.32, 419.32, 429.32, 439.32, 449.32, 459.32, 469.32, 479.32,\n", " 489.32, 499.32, 509.32, 519.32, 529.32, 539.32, 549.32, 559.32,\n", " 569.32, 579.32, 589.32, 599.32, 609.32, 619.32, 629.32, 639.32,\n", " 649.32, 659.32, 669.32, 679.32, 689.32, 699.32, 709.32, 719.32,\n", " 729.32])" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Here's the time in minutes from the dataset:\n", "time_array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting dataframe using matplotlib:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots()\n", "# Plot the data for the container A1 against time:\n", "# Convert time to hours and \"A1\" density data to cell counts.\n", "ax.plot(df['t']/60, df['A1']*1e8, lw = 2)\n", "ax.set_xlabel('Time (in hours)', fontsize = 18)\n", "ax.set_ylabel('Bacteria Population', fontsize = 18)\n", "ax.tick_params(labelsize = 18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now plot all data together:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "for column_title in df:\n", " # the first two columns are not data, they are time columns, so we ignore those:\n", " if column_title == 't' or column_title == \"Time\":\n", " # Skip this and continue to iterate\n", " continue\n", " ax.plot(df['t']/60, df[column_title]*1e8, alpha = 0.7, lw = 2, label = column_title)\n", "ax.set_xlabel('Time (in hours)', fontsize = 18)\n", "ax.set_ylabel('Bacteria Population', fontsize = 18)\n", "ax.tick_params(labelsize = 14)\n", "# bbox_to_anchor command is used to set the position of the legend box\n", "ax.legend(fontsize = 12, bbox_to_anchor = (1.05,1.1), loc = \"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Manually fit logistic growth to the OD data" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "def logistic_growth(t, x, k, C):\n", " return k*x*(1 - x/C)\n", "\n", "timepoints = np.array(df['t']/60) # time array in hours\n", "from my_numerical_integrators import integrate\n", "\n", "# x(t+ dt) = x(t) + f(x,t)*dt\n", "\n", "x0 = np.mean(df.iloc[0][2:])*1e8 # Initial condition = Get from data\n", "k = 0.45 # growth rate in 1/hour unit\n", "C = 6e7 # maximum capacity\n", "x = integrate(logistic_growth, timepoints, x0, k, C)\n", "fig, ax = plt.subplots()\n", "# Plot model simulation\n", "ax.plot(timepoints, x, linewidth = 4, label = 'Model')\n", "\n", "# Plot experimental data\n", "for column_title in df:\n", " # the first two columns are not data, they are time columns, so we ignore those:\n", " if column_title == 't' or column_title == \"Time\":\n", " # Skip this and continue to iterate\n", " continue\n", " ax.plot(timepoints, df[column_title]*1e8, alpha = 0.5, lw = 1, label = 'Replicate: '+column_title)\n", "ax.set_xlabel('Time (in hours)', fontsize = 18)\n", "ax.set_ylabel('Bacteria Population', fontsize = 18)\n", "ax.tick_params(labelsize = 14)\n", "# bbox_to_anchor command is used to set the position of the legend box\n", "ax.legend(fontsize = 12, bbox_to_anchor = (1.05,1.1), loc = \"best\");\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Analysis:\n", "\n", "1. Steady state analysis (Week 7)\n", "2. Growth rate computation (Week 2)\n", "3. State-space exploration (Week 9)\n", "4. Asymptotic analysis" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }