{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial\n", "This Jupyter notebook will review how to fit a dataset with both a white noise HMM (wnHMM) and an autoregressive HMM (arHMM).\n", "\n", "To begin, we first import some basic libraries, as well as the `ot_arhmm` package which we import as `ot` for short." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from pathlib import Path\n", "import ot_arhmm as ot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the data is already saved in the Lumicks pylake format, we can load it with the `from_lk` method. We use `downsample=2` to remove effects of the antialiasing filter that has been applied to the data.\n", "\n", "If the data is not in the pylake format, we can use the `from_data` method to load directly from the force and time data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "switch_file = Path(\"data/20220411-172711 Marker tether1-1.h5\")\n", "switch = ot.from_lk(switch_file, downsample=2)\n", "\n", "# switch = ot.from_data(force_array, time_array, downsample=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have an object from the `Switching` class. We can print it to see all the attributes stored within the object." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Switching object for file data\\20220411-172711 Marker tether1-1.h5\n", "\n", "Raw data parameters:\n", "\tLength: 2365314 elements\n", "\tSample rate: 78.125 kHz\n", "\tDuration: 30.28s\n", "\n", "Downsampled data parameters:\n", "\tDownsampling factor: 2\n", "\tLength: 1182657 elements\n", "\tSample rate: 39.062 kHz\n", "\n", "GMM has not been fit\n", "\n", "PSDs have not been calculated\n", "\n", "wnHMM has not been fit\n", "\n", "arHMM has not been fit\n", "\n" ] } ], "source": [ "print(switch)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before fitting the wnHMM and arHMM, we must come up with initial guesses for the various parameters to be fit. Instead of jumping straight to fitting these parameters, we have developed a method to obtain a good set of initializations by fitting the distribution of forces and the PSD.\n", "\n", "Let's first look at the distribution of forces as a histogram." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "switch.plot_force_hist()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is one dominant state at 10 pN as well as a shoulder at 8 pN which corresponds to the second state. We can fit these with a 2 state Gaussian mixture model (GMM). We must initialize the model with guesses for the weight of the two states (0.1 and 0.9), the mean force of the two states (8 and 10) and the standard deviation of each state (0.5 for both). Note that the states are by convention ordered from lowest mean force to high force throughout the entire package." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "switch.fit_gmm([.1, .9], [8, 10], [.5, .5])\n", "\n", "switch.plot_force_hist(color=\"grey\")\n", "switch.plot_gmm_pdf()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The GMM appears to have fit the two states well. The fit results are stored in the `Switching` object, which can be seen if we print the object again." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Switching object for file data\\20220411-172711 Marker tether1-1.h5\n", "\n", "Raw data parameters:\n", "\tLength: 2365314 elements\n", "\tSample rate: 78.125 kHz\n", "\tDuration: 30.28s\n", "\n", "Downsampled data parameters:\n", "\tDownsampling factor: 2\n", "\tLength: 1182657 elements\n", "\tSample rate: 39.062 kHz\n", "\n", "GMM has been fit with:\n", "\tProbabilities = 4.2%, 95.8%\n", "\tMeans = 8.4 pN, 10.3 pN\n", "\tStd dev = 0.49 pN, 0.64 pN\n", "\n", "PSDs have not been calculated\n", "\n", "wnHMM has not been fit\n", "\n", "arHMM has not been fit\n", "\n" ] } ], "source": [ "print(switch)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Additionally, the PSD must be calculated and fit to initialize the wnHMM and arHMM. Let's calculate and plot the PSDs." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "switch.calculate_psd()\n", "switch.plot_psd()\n", "plt.margins(x=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The PSD is the sum of two Lorentzians resulting from the molecular switching and the autocorrelation of the optical tweezer. We can fit this which requires initial guesses for the lower frequency Lorentzian ($A=10^{-2}$ and $f_c=10$) and the higher frequency Lorentzian ($A=3\\times10^{-5}$ and $f_c=5000$)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "switch.fit_psd(1e-2, 10, 3e-5, 5e3)\n", "\n", "switch.plot_psd()\n", "plt.margins(x=0)\n", "plt.xlim(None, None)\n", "plt.autoscale(False)\n", "switch.plot_psd_fit()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fit once again appears good and the fit results are stored inside the `Switching` object. We can now fit the wnHMM and arHMM. Note that each may take several minutes to run." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "switch.fit_wnhmm()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "switch.fit_arhmm()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to not have to rerun the full analysis, we can save the object to disk and also reload from disk with the `save` and `reload` methods." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "#switch = switch.save(\"tether1-1_switching.h5\")\n", "#switch = ot.Switching.reload(\"tether1-1_switching.h5\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compare the wnHMM and the arHMM fits by examining plots of the folding survival rate." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(6,3), layout=\"constrained\")\n", "\n", "switch.plot_folding_surv(ax=ax1)\n", "switch.plot_folding_rate(ax=ax1)\n", "\n", "switch.plot_folding_surv(wnhmm=True, ax=ax2)\n", "switch.plot_folding_rate(wnhmm=True, ax=ax2)\n", "\n", "ax1.set_title(\"arHMM\")\n", "ax2.set_title(\"wnHMM\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "arhmm_compare", "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 2 }