{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "example_part_ii.ipynb", "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" }, "accelerator": "GPU" }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "HGQ3WitpRo0J" }, "source": [ "# Part III: Post analysis (Python/Jupyter/Colab)\n", "\n", "This tutorial is a Jupyter notebook that illustrates how to load & open output files from Tapqir analysis. **To work with the live version of the notebook run it in Google Colab using the link above**.\n", "\n", "## Set up the environment\n", "\n", "* Connect Google Drive to be able to save the analysis output (to view Files & Folders click on a Folder icon on the left):" ] }, { "cell_type": "code", "metadata": { "id": "SVM1IK9AR-mX", "outputId": "8b99b835-939e-4954-fc13-b3c75ab5b486", "colab": { "base_uri": "https://localhost:8080/" } }, "source": [ "# Run this cell to connect to Google Drive\n", "from google.colab import drive\n", "\n", "drive.mount(\"/content/drive\")" ], "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Mounted at /content/drive\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "63BsFn8rSIpb" }, "source": [ "* Run the cell below to install `tapqir` (takes about a minute):" ] }, { "cell_type": "code", "metadata": { "id": "cpzU1QoQRY8W" }, "source": [ "!pip install --quiet tapqir > install.log" ], "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "XLYLwlegUxTE" }, "source": [ "## Load data & analysis results\n", "\n", "Extracted AOI images are stored in a `data.tpqr` file; analysis results are stored in a `cosmos-channel0-params.tpqr` and `cosmos-channel0-summary.csv` files. We will import `cosmos` model from `tapqir`, create its instance, and then call `.load`method to load these files:" ] }, { "cell_type": "code", "metadata": { "id": "YmW7-kbiTUdZ" }, "source": [ "# import cosmos model\n", "from tapqir.models import Cosmos\n", "\n", "# create a cosmos model instance\n", "model = Cosmos()\n", "# load analysis results from the working directory\n", "model.load(path=\"/content/drive/MyDrive/tutorial\", data_only=False)" ], "execution_count": 1, "outputs": [] }, { "cell_type": "markdown", "source": [ "### AOI images" ], "metadata": { "id": "Xx4cCHlShCz6" } }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "y5YeutqLU_A2", "outputId": "f1ebdf58-e0c0-4595-99b7-cbb7865bd872" }, "source": [ "# data can be accessed through .data attribute\n", "model.data" ], "execution_count": 2, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "CosmosDataset: Rpb1SNAP549\n", " images tensor(N=331 on-target AOIs, Nc=526 off-target AOIs, F=790 frames, C=1 channels, P=14 pixels, P=14 pixels)\n", " x tensor(N=331 on-target AOIs, Nc=526 off-target AOIs, F=790 frames, C=1 channels)\n", " y tensor(N=331 on-target AOIs, Nc=526 off-target AOIs, F=790 frames, C=1 channels)\n", "\n", " offset.samples tensor([ 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103,\n", " 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116],\n", " dtype=torch.int32)\n", " .weights tensor([2.8129e-06, 6.7511e-05, 4.1210e-04, 1.7932e-03, 7.1871e-03, 2.1366e-02,\n", " 4.7677e-02, 9.0093e-02, 1.3192e-01, 1.6421e-01, 1.5248e-01, 1.0433e-01,\n", " 7.7949e-02, 5.2655e-02, 3.5667e-02, 2.2335e-02, 1.9520e-02, 1.6328e-02,\n", " 1.2553e-02, 8.6892e-03, 7.2546e-03, 5.8228e-03, 4.4402e-03, 3.1153e-03,\n", " 2.5893e-03, 2.3038e-03, 7.2433e-03], dtype=torch.float32)" ] }, "metadata": {}, "execution_count": 2 } ] }, { "cell_type": "markdown", "metadata": { "id": "iABnmrzbVnxT" }, "source": [ "Data is stored as a `CosmosDataset` object that has a title (`Rpb1SNAP549`), `images` attribute for AOI images (torch.Tensor object with `(N+Nc, F, C, P, P)` shape), `x` attribute for target locations on the _x_-axis (torch.Tensor with `(N+Nc, F, C)` shape), and `y` attribute for target locations on the _y_-axis (torch.Tensor with `(N+Nc, F, C)` shape), and `offset` attribute for camera offset data.\n", "\n", "As an example let's plot frames 625, 628, 630, 633, 635, 638, 640, 643, 645 from AOI 163 and also show target locations (red `+` sign)." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 128 }, "id": "xAeyoEPLaueK", "outputId": "223f5c01-abe0-40ca-e1ad-0a4236b35e1e" }, "source": [ "# import matplotlib for plotting\n", "import matplotlib.pyplot as plt\n", "\n", "fig = plt.figure(figsize=(15, 1.5))\n", "n = 163 # AOI\n", "c = 0 # color channel\n", "frames = [625, 628, 630, 633, 635, 638, 640, 643, 645]\n", "\n", "for i, f in enumerate(frames):\n", " ax = fig.add_subplot(1, 9, i + 1)\n", " ax.imshow(model.data.images[n, f, c].numpy(), vmin=340, vmax=635, cmap=\"gray\")\n", " ax.scatter(\n", " model.data.x[n, f, c].item(),\n", " model.data.y[n, f, c].item(),\n", " c=\"r\",\n", " s=100,\n", " marker=\"+\",\n", " )\n", " ax.set_title(f, fontsize=16)\n", " ax.axis(\"off\")" ], "execution_count": 3, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "FsGxvYfKWl_Z" }, "source": [ "### Offset distribution\n", "\n", "`offset` is an `OffsetData` object that has `samples` attribute for camera offset values and `weights` attribute for their probabilities (together they define and Empirical distribution for the offset signal). Let's plot it." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 248 }, "id": "bDJ0m7QrVEuj", "outputId": "e9339845-a7dc-4cbf-ae79-3db4a28d084e" }, "source": [ "plt.figure(figsize=(3, 3))\n", "plt.bar(model.data.offset.samples, model.data.offset.weights)\n", "plt.title(\"Offset\", fontsize=16)\n", "plt.ylabel(\"Density\", fontsize=16)\n", "plt.xlabel(\"Intensity\", fontsize=16)\n", "plt.show()" ], "execution_count": 4, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": "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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "9cMgcZgCeqh9" }, "source": [ "## Parameters\n", "\n", "Model parameters with 95% CI (credible interval) are stored in `cosmos-params.tpqr` file (nested dictionary of `torch.Tensor`s). It can be accessed using a `.params` attribute:" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "8c8StZjir07L", "outputId": "36e82d04-98fb-4efe-c982-bf167db15476" }, "source": [ "# list all parameters\n", "model.params.keys()" ], "execution_count": 5, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "dict_keys(['gain', 'proximity', 'lamda', 'pi', 'Keq', 'height', 'width', 'x', 'y', 'background', 'm_probs', 'theta_probs', 'z_probs', 'z_map', 'p_specific', 'time1', 'ttb', 'h_specific', 'chi2'])" ] }, "metadata": {}, "execution_count": 5 } ] }, { "cell_type": "markdown", "metadata": { "id": "_fCftv7PsDPz" }, "source": [ "- `gain` - $g$ camera gain\n", "- `proximity` - $\\sigma^{xy}$ proximity\n", "- `lamda` - $\\lambda$ off-target binding rate\n", "- `pi` - $\\pi$ average on-target binding probability\n", "- `Keq` - equilibrium constant calculated as $\\frac{\\pi}{1-\\pi}$\n", "- `z_probs` - $p(z=1|D)$ probability of there being any target-specific spot in an AOI image\n", "- `p_specific` - $p(\\mathsf{specific})$ probability of there being any target-specific spot in an AOI image\n", "- `z_map` - most likely value (0 or 1) for target-specific spot presence (obtained from $p(\\mathsf{specific})$ using 0.5 cutoff)\n", "- `theta_probs` - $p(\\theta=k|D)$ target-specific spot index probabilities\n", "- `m_probs` - $p(m=1|D)$ spot presence probabilities\n", "- `height` - $h$ spot intensity\n", "- `width` - $w$ spot width\n", "- `x` - $x$ spot position on _x_-axis\n", "- `y` - $y$ spot position on _y_-axis\n", "- `background` - $b$ background intensity\n" ] }, { "cell_type": "markdown", "metadata": { "id": "I5mOwQvxvVum" }, "source": [ "For example, let's look at gain $g$:" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "_WLSfuyMr5A_", "outputId": "68b30768-ebe4-4848-a9b4-0601ffdf7400" }, "source": [ "model.params[\"gain\"]" ], "execution_count": 6, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "{'LL': tensor(6.7341), 'UL': tensor(6.7392), 'Mean': tensor(6.7366)}" ] }, "metadata": {}, "execution_count": 6 } ] }, { "cell_type": "markdown", "metadata": { "id": "9-xzrdHnvef_" }, "source": [ "It is a dictionary with the values of the mean (`Mean`), 95% credible interval lower-limit (`LL`) and upper-limit (`UL`)." ] }, { "cell_type": "markdown", "metadata": { "id": "ScSeZ1gJwYhO" }, "source": [ "Let's plot $p(\\mathsf{specific})$ for AOI 163 and frames from 625 to 645:" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 177 }, "id": "hYUaE-RBvNWl", "outputId": "bcb633a9-23c4-4039-aa78-6d639aa81c48" }, "source": [ "n = 163\n", "f1, f2 = 625, 645\n", "\n", "plt.figure(figsize=(10, 2))\n", "plt.plot(range(f1, f2), model.params[\"z_probs\"][n, f1:f2], \"o-\", color=\"C2\")\n", "plt.ylabel(r\"$p(\\mathsf{specific})$\", fontsize=12)\n", "plt.xlabel(\"Time (frame)\", fontsize=12)\n", "plt.xticks(range(f1, f2))\n", "plt.show()" ], "execution_count": 7, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "sDBq-WABxhem" }, "source": [ "To plot credible intervals we can use `pyplot`'s `fill_between` method. Here is the plot of intensity $h$ for spot 1 in the same range of frames:" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 174 }, "id": "ia2Za6Rtw8zK", "outputId": "4b6aeadd-90ec-436b-b475-19fa7bfdf332" }, "source": [ "k = 0 # spot 1\n", "n = 163 # AOI\n", "f1, f2 = 625, 645 # frame range\n", "\n", "plt.figure(figsize=(10, 2))\n", "plt.plot(range(f1, f2), model.params[\"height\"][\"Mean\"][k, n, f1:f2], \"-\", color=\"C0\")\n", "plt.fill_between(\n", " range(f1, f2),\n", " model.params[\"height\"][\"LL\"][k, n, f1:f2],\n", " model.params[\"height\"][\"UL\"][k, n, f1:f2],\n", " color=\"C0\",\n", " alpha=0.3,\n", ")\n", "plt.ylabel(r\"$h$ (spot 1)\", fontsize=12)\n", "plt.xlabel(\"Time (frame)\", fontsize=12)\n", "plt.xticks(range(f1, f2))\n", "plt.show()" ], "execution_count": 8, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "Here we plot ntensities of target-specifics. Target-specific spot is selected from two spots using 0.5 probability cut-off." ], "metadata": { "id": "bYrqLFo_irOr" } }, { "cell_type": "code", "source": [ "n = 163 # AOI\n", "theta_mask = model.params[\"theta_probs\"][:, n] > 0.5\n", "height_mean = (model.params[\"height\"][\"Mean\"][:, n] * theta_mask).sum(0)\n", "height_ll = (model.params[\"height\"][\"LL\"][:, n] * theta_mask).sum(0)\n", "height_ul = (model.params[\"height\"][\"UL\"][:, n] * theta_mask).sum(0)\n", "\n", "plt.figure(figsize=(10, 2))\n", "plt.plot(range(0, model.data.F), height_mean, \"-\", color=\"C2\")\n", "plt.fill_between(\n", " range(0, model.data.F),\n", " height_ll,\n", " height_ul,\n", " color=\"C2\",\n", " alpha=0.3,\n", ")\n", "plt.ylabel(r\"$h$ (specific)\", fontsize=12)\n", "plt.xlabel(\"Time (frame)\", fontsize=12)\n", "plt.show()" ], "metadata": { "id": "IFbiEVKOhy6x", "outputId": "5d42019d-7927-4671-b033-69ca62ae10a1", "colab": { "base_uri": "https://localhost:8080/", "height": 174 } }, "execution_count": 9, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "-DQg-SvRz3Bt" }, "source": [ "### Probabilistic rastergram\n", "\n", "We can plot $p(\\mathsf{specific})$ as a probabilistic rastergram." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 299 }, "id": "Mp4gfoYL0nOq", "outputId": "bcf8fc69-adec-43d6-df1c-1dd3c0b6cedd" }, "source": [ "import matplotlib as mpl\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.imshow(\n", " model.params[\"z_probs\"][: model.data.N],\n", " norm=mpl.colors.Normalize(vmin=0, vmax=1),\n", " aspect=\"equal\",\n", " interpolation=\"none\",\n", ")\n", "plt.ylabel(\"AOI\")\n", "plt.xlabel(\"Time (frame)\")\n", "plt.show()" ], "execution_count": 10, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "Probabilistic rastergram with AOIs ordered by time-to-first binding:" ], "metadata": { "id": "3MuLpk29mrXU" } }, { "cell_type": "code", "source": [ "from tapqir.utils.imscroll import time_to_first_binding\n", "\n", "# sorted on-target\n", "ttfb = time_to_first_binding(model.params[\"z_map\"][: model.data.N])\n", "# sort ttfb\n", "sdx = torch.argsort(ttfb, descending=True)\n", "\n", "plt.figure(figsize=(10, 5))\n", "norm = mpl.colors.Normalize(vmin=0, vmax=1)\n", "im = plt.imshow(\n", " model.params[\"z_probs\"][: model.data.N][sdx][::3, ::2],\n", " norm=norm,\n", " aspect=\"equal\",\n", " interpolation=\"none\",\n", ")\n", "plt.xlabel(\"Time (frame)\")\n", "plt.ylabel(\"AOI\")\n", "cbar = plt.colorbar(im, ax=ax, aspect=8, shrink=0.9)\n", "cbar.set_label(label=r\"$p(\\mathsf{specific})$\")" ], "metadata": { "id": "Hwzg1I-gnZW8", "outputId": "53696d33-f247-453e-eb32-a45d2d921698", "colab": { "base_uri": "https://localhost:8080/", "height": 222 } }, "execution_count": 16, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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}, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "u_sphqFzzMOy" }, "source": [ "### Global parameters\n", "\n", "`summary` attribute (loaded from the `cosmos-channel0-summary.csv` file) contains values of global parameters (for easy access). " ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 238 }, "id": "yZhwchtSy8tj", "outputId": "005b3eb9-0806-4316-e01d-4c4f04f1abe5" }, "source": [ "model.summary" ], "execution_count": 11, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " Mean 95% LL 95% UL\n", "gain 6.736577 6.734092 6.739194\n", "proximity 0.607815 0.604436 0.611418\n", "lamda 0.288701 0.287115 0.290384\n", "pi 0.092999 0.092036 0.093988\n", "Keq 0.102533 0.101366 0.103738\n", "SNR 1.606830 NaN NaN" ], "text/html": [ "
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Mean95% LL95% UL
gain6.7365776.7340926.739194
proximity0.6078150.6044360.611418
lamda0.2887010.2871150.290384
pi0.0929990.0920360.093988
Keq0.1025330.1013660.103738
SNR1.606830NaNNaN
\n", "
" ] }, "metadata": {}, "execution_count": 11 } ] } ] }