{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "[PyBroMo](http://tritemio.github.io/PyBroMo/) - 1.1 Run the simulation - Single host" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> *This notebook is part of [PyBroMo](http://tritemio.github.io/PyBroMo/) a \n", "> python-based single-molecule Brownian motion diffusion simulator \n", "> that simulates confocal [smFRET](http://en.wikipedia.org/wiki/Single-molecule_FRET)\n", "> experiments. You can find the full list of notebooks in \n", "> [Usage Examples](http://tritemio.github.io/PyBroMo/#usage-examples).*" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Brownian Motion simulation on a single host" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we will see a simple example usage of the **PyBroMo** software.\n", "\n", "The main file is `brownian.py`: it contains the simulator code, \n", "helper functions and the default simulation parameters.\n", "\n", "For convenience, here we use an initialization script that will enter into the **PyBroMo** folder, \n", "load `brownian.py` and also import some useful IPython functions:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%run -i load_bromo.py" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "/home/anto/Documents/ucla/src/brownian\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default simulation parameters are defined in `brownian.py`. \n", "Let take a look at them:\n", " \n", " # Simulation time step\n", " t_step = 0.5e-6 # seconds\n", "\n", " # Diffusion coefficient\n", " Du = 12.0 # um^2 / s\n", " D = Du*(1e-6)**2\n", "\n", " # Time duration of the simulation\n", " t_max = 0.1 # seconds\n", " N_samples = int(t_max/t_step)\n", "\n", " # PSF definition\n", " psf = NumericPSF()\n", "\n", " # Box definition\n", " box = Box(x1=-4.e-6,x2=4.e-6,y1=-4.e-6,y2=4.e-6,z1=-6e-6,z2=6e-6)\n", "\n", " # Particles definition\n", " P = gen_particles(1, box)\n", "\n", " # Particle simulation definition\n", " S = ParticlesSimulation(D=D, t_step=t_step, particles=P, box=box, psf=psf)\n", " \n", "After running `brownian.py` we can define some custom parameters:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%run brownian.py" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Initialize the random seed to a fixed value (for notebook reproducibility)\n", "np.random.seed(6)\n", "\n", "# Simulation time step\n", "t_step = 0.5e-6 # seconds\n", "\n", "# Time duration of the simulation\n", "t_max = .2 # seconds\n", "\n", "# Particles definition\n", "P = gen_particles(2, box)\n", "\n", "# Particle simulation definition\n", "S = ParticlesSimulation(D=D, t_step=t_step, t_max=t_max, particles=P, box=box, psf=psf)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The most important line is the last line which creates an object `S` \n", "that contains all the simulation parameters (it also contains methods to run \n", "the simulation). You can print `S` and check the current parameters:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "S" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "Box: X 8.0um, Y 8.0um, Z 12.0um\n", "D 1.2e-11, #Particles 2, t_step 0.5us, t_max 0.2s EID_ID 0 0" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "or check the required RAM for the current parameters:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "S.print_RAM()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Number of particles: 2\n", " Number of time steps: 400000\n", " Emission array size: 3.0 MB (total_emission=True) \n", " Emission array size: 6.0 MB (total_emission=False)\n", " Position array size: 18.0 MB \n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we launch the simulation with the previous parameters (2 particles, 0.2s total time). \n", "We simulate the brownian motion trajectories and the emission at the same time.\n", "The trajectories are saved in the array `S.pos`, the emission in the array `S.em`. \n", "The emission represents the emission rate in each time step (0.5us)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "S.sim_motion_em(total_emission=True, delete_pos=False)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[20982] Simulating particle 0 \n", "[20982] Simulating particle 1 " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In very long simulations, setting `delete_pos=True` allows to save RAM by only saving \n", "the emission array.\n", "\n", "Here, since we kept the trajectories (`delete_pos=False`), we can plot them:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# This requires delete_pos=False in .sim_motion_em()\n", "plot_tracks(S)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8KD4+IrvZ3b3lwodbk803cXYiWr2Wt3a8xfK9y7lYWaemuiAN6CJ+Laec45fq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o2ACCPjum7MGMllSU4WIeHrC+fPN/35ajWEh8tDr5eEyeaoqoL//Q9qa8Xk5khvs0z9IqC7d9v+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63bpVJJe2Nv6mjY08Z66iz5PLl1/yAnCElhb+AELetX27jRuBmznmYo/UyFSsv2c9pqybgspm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j6mRk+1v1Z/Qc4x5JBnyENv7riLqCvRmXT8lPwTmfpM5K5ylDIl8RnxzF4/2y6fX48cOeYq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\nm5rmGr66+BXhi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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of the two particles only the second (in green) happens to pass through the excitation volume\n", "(approximately shown as a black ellipsis). Plotting the emission we see only one \"burst\"." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_emission(S)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RI/ckFIp7EkTKVm97EleuXMHIkSPh5+eHvXv34quvvkLfvn2temCyncrzvmQd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\ncHBwQFlZGb+HghSJ001ETzD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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Generating timestamps - Single host" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generating timestamps from the emission requires two steps. \n", "\n", "Firstly we extract the number of emitted photons in each time bin (here 0.5us)\n", "using a Poisson distribution. Photons can be generated by molecules emission or by\n", "a user-defined (constant) background rate. The array of emission events is saved in \n", "`S.tt` (stands for **t**ime**t**race):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "S.sim_timetrace(max_em_rate=3e5, bg_rate=2e3)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_timetrace(S, scroll_gui=False)\n", "plt.legend(['Emission rate', 'Emitted photons + BG'])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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O+Pr6wt7eHuvXr8euXbsqLcfKygqxsbE4cuQInJ2dERkZiR07dnB7suq2j/LD9+/fR5cu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\n+OGHWLZsGfLz87n3MjIy4Or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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Note: in the previous timetrace, photons are rebinned with a 1 ms bin width, \n", "> much larger than the simulation time step (0.5us).\n", "\n", "Once we generated the timetrace (statistically) we compute the timestamps (deterministically)\n", "using for each photon its bin position (so we end up with timestamps with 0.5us resolution).\n", "Timestamps are saved in `S.ph_times`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "S.gen_ph_times()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "print S.ph_times[:10], '...'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 9.00000000e-06 2.54000000e-04 2.59000000e-04 3.69500000e-04\n", " 5.87500000e-04 1.99250000e-03 2.12150000e-03 2.80350000e-03\n", " 3.45250000e-03 3.72400000e-03] ...\n" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(S.ph_times, bins=np.r_[:200]*1e-3, histtype='step');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let verify that timetrace and timestamps are coherent. We can compute a 1ms-bin-width\n", "histogram from the two arrays and obtain the same result. For the timestamps it's easy,\n", "we just need to use the `histogram` function. For the timetrace, that is an already binned\n", "array, we need to rebin with a 2000 times larger bin (2000 = 1ms/0.5us):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Binning of timestamps\n", "timestamps_hist = np.histogram(S.ph_times, bins=np.r_[:201]*1e-3)\n", "\n", "# Rebinning of timetrace\n", "rebin = 2000\n", "rebinned_timetrace = S.tt.reshape(-1, rebin).sum(axis=1)\n", "rebinned_time = (np.arange(rebinned_timetrace.size)+1)*(S.t_step*rebin)\n", "\n", "# Comparison plot\n", "plt.plot(timestamps_hist[1][1:], timestamps_hist[0])\n", "plt.plot(rebinned_time, rebinned_timetrace)\n", "\n", "# Rigorous check\n", "assert ((timestamps_hist[0] - rebinned_timetrace) == 0).all()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qhKerVrhPnz6dLl26oGkaAHFxcURFRZGamsqwYcOIi4ur1UEKo3vuMnOXHrGxpJ7up8pw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\nT3ZYumk3vxbO4j9jnJOQpj6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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two plots are identical and the assertion passes demonstrating that \n", "the two array are numerically equal." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Save and load simulations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**NOTE on path**: *The file `path_def.py` (loaded by `brownian.py`) defines the `SIM_DATA_DIR` \n", "variable that contains the path where to save the simulation. You can edit `path_def.py`\n", "to choose a folder and use here `SIM_DATA_DIR`. You can also skip that step and paste your\n", "path in the following command (replacing SIM_DATA_DIR):*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "S.dump(dir_=SIM_DATA_DIR)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Saved to /home/anto/Documents/ucla/src/data/sim/brownian/objects//bromo_sim_D1.2e-11_2P_4pM_step0.5us_t_max0.2s_ID0-0.pickle\n" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let load the simulation from a file. We know we saved in folder `SIM_DATA_DIR` with ID=0, EID=0 \n", "and the file name contains `0.2s` (simulation duration):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "S2 = load_sim_id(ID=0, EID=0, glob_str='*0.2s*', dir_=SIM_DATA_DIR)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Loaded:\n", "/home/anto/Documents/ucla/src/data/sim/brownian/objects/bromo_sim_D1.2e-11_2P_4pM_step0.5us_t_max0.2s_ID0-0.pickle\n" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "S2" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "Box: X 8.0um, Y 8.0um, Z 12.0um\n", "D 1.2e-11, #Particles 2, t_step 0.5us, t_max 0.2s EID_ID 0 0" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "S2.em" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "array([[ 7.84983849e-07, 7.84919671e-07, 7.92120295e-07, ...,\n", " 1.76593796e-05, 1.76628897e-05, 1.76252189e-05]])" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The arrays are different but they have the same content:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print id(S2.em), id(S.em)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "130640560 45489520\n" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "(S.em == S2.em).all()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "True" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"./styles/custom2.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "" ] } ], "prompt_number": 3 } ], "metadata": {} } ] }