{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a1d9a7a5",
   "metadata": {},
   "source": [
    "# Spatiotemporal pattern"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "424e876f",
   "metadata": {},
   "source": [
    "The Spatiotemporal Pattern function in SOAPy employs tensor decomposition to extract components from the three-order expression tensor (“Time-Space-Gene”), revealing hidden patterns and reducing the complexity of data explanation.\n",
    "We used Nanosting DSP mouse developmental samples to explore the spatio-temporal developmental relationships of three major organs: heart, lung, and midgut.\n",
    "\n",
    "Download 'Count Results' and 'Images' files from https://nanostring.com/products/geomx-digital-spatial-profiler/spatial-organ-atlas/mouse-development/."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b2e79bc",
   "metadata": {},
   "source": [
    "## Read and preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2935a1fe",
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "import SOAPy_st as sp\n",
    "import scanpy as sc\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c0fd637a-5262-4511-8436-df2b69d2b53c",
   "metadata": {},
   "outputs": [],
   "source": [
    "adata = sp.pp.read_dsp2adata(\n",
    "    # The path of 'Image' xml data\n",
    "    xml_file={\n",
    "        'mu_dev_E9_001': './GeoMx_MouseDevelopment/image_files/mu_dev_E9_image_files/mu_dev_E9_001.ome.xml',\n",
    "        # The reason is that the keywords in the xml file of mu_dev_E9_002 are different from other .xml files. \n",
    "        # If you want to read the mu_dev_E9_002 .xml file together, you need to change the \"Polyline\" to \"Polygon\" in the mu_dev_E9_002.ome.xml file.\n",
    "        'mu_dev_E9_003': './nanostring_growth/mu_dev_E9_image_files/mu_dev_E9_003.ome.xml',\n",
    "        'mu_dev_E11_004': './nanostring_growth/mu_dev_E11_image_files/mu_dev_E11_004.ome.xml',\n",
    "        'mu_dev_E11_005': './nanostring_growth/mu_dev_E11_image_files/mu_dev_E11_005.ome.xml',\n",
    "        'mu_dev_E13_006': './nanostring_growth/mu_dev_E13_image_files/mu_dev_E13_006.ome.xml',\n",
    "        'mu_dev_E13_007': './nanostring_growth/mu_dev_E13_image_files/mu_dev_E13_007.ome.xml',\n",
    "        'mu_dev_E13_008': './nanostring_growth/mu_dev_E13_image_files/mu_dev_E13_008.ome.xml',\n",
    "        'mu_dev_E13_009': './nanostring_growth/mu_dev_E13_image_files/mu_dev_E13_009.ome.xml',\n",
    "        'mu_dev_E13_010': './nanostring_growth/mu_dev_E13_image_files/mu_dev_E13_010.ome.xml',\n",
    "        'mu_dev_E13_011': './nanostring_growth/mu_dev_E13_image_files/mu_dev_E13_011.ome.xml',\n",
    "        'mu_dev_E15_012': './nanostring_growth/mu_dev_E15_image_files/mu_dev_E15_012.ome.xml',\n",
    "        'mu_dev_E15_013': './nanostring_growth/mu_dev_E15_image_files/mu_dev_E15_013.ome.xml'\n",
    "    },\n",
    "    # The path of 'Count Results' data\n",
    "    information_file='./nanostring_growth/Export4_NormalizationQ3.xlsx',\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9dbe0f48",
   "metadata": {},
   "source": [
    "Firstly, the AOI of the three organs were extracted in adata."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "464cb51e",
   "metadata": {},
   "outputs": [],
   "source": [
    "adata = adata[np.isin(adata.obs['Tissue'], ['Heart', 'Lung', 'Midgut']), :].copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6c3a5515-2e59-4111-911f-a7bfb7f6d692",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 381 × 18045\n",
       "    obs: 'SlideName', 'ScanLabel', 'ROILabel', 'SegmentLabel', 'QCFlags', 'AOISurfaceArea', 'AOINucleiCount', 'ROICoordinateX', 'ROICoordinateY', 'RawReads', 'AlignedReads', 'DeduplicatedReads', 'TrimmedReads', 'StitchedReads', 'SequencingSaturation', 'SequencingSetID', 'UMIQ30', 'RTSQ30', 'GeoMxNgsPipelineVersion', 'LOT_Mouse_NGS_Whole_Transcriptome_Atlas_RNA', 'Tissue_annotation', 'Tissue', 'p63_expression', 'Tissue_substructure', 'Tissue_type', 'Timepoint', 'ROIID', 'SegmentID', 'ScanWidth', 'ScanHeight', 'ScanOffsetX', 'ScanOffsetY', 'LOQ (Mouse NGS Whole Transcriptome Atlas RNA)', 'NormalizationFactor', 'ExpressionFilteringThreshold (Mouse NGS Whole Transcriptome Atlas RNA)'\n",
       "    uns: 'point'\n",
       "    obsm: 'spatial'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "adata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9b7fffe2",
   "metadata": {},
   "outputs": [],
   "source": [
    "sc.pp.log1p(adata)\n",
    "# sc.pp.highly_variable_genes(adata, flavor=\"seurat\", n_top_genes=1000)\n",
    "# adata = adata[:, adata.var['highly_variable'] == True].copy()\n",
    "\n",
    "adata.obs['Tissue_s'] = adata.obs['Tissue'].astype(str) + ' ' + adata.obs['Tissue_substructure'].astype(str)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f618ccb3",
   "metadata": {},
   "source": [
    "## Tensor decomposition"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "958531d5",
   "metadata": {},
   "source": [
    "In the following, 3D-tensor is constructed by subtissues, time points, and genes. \n",
    "\n",
    "Tensors can be generated automatically by `sp.tl.TensorDecomposition()` and contain gene information by default, only requiring the user to provide labels for other dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "30e2ad06",
   "metadata": {},
   "outputs": [],
   "source": [
    "tensor = sp.tl.TensorDecomposition()\n",
    "tensor.tensor_with_gene(adata, obs_factor=['Tissue_s', 'Timepoint'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ccc16c5",
   "metadata": {},
   "source": [
    "The first 1000 hypervariable genes are selected and standardized, and then the nonnegative CANDECOMP/PARAFAC(CP) tensor with rank 7 is decomposed by `Tensor.cp_decomposition()` to obtain the factor matrix and weight of the 7 factors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a03683c6",
   "metadata": {},
   "outputs": [],
   "source": [
    "tensor.highly_variable(factor_name='gene', top_num=1000) # select 1000 high variable genes\n",
    "tensor.normalization(factor_name='gene', method='max') # normalization used the maximum value\n",
    "weights, factors, nre = tensor.CP_decomposition(rank=7, non_negative=True, random_state=10, use_hals=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "709b5e17",
   "metadata": {},
   "source": [
    "## Visualizing the results"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3992415e",
   "metadata": {},
   "source": [
    "Three bars show the composition of subtissues, time points, and genes within each factor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a5bd2b66",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sp.pl.show_proportion_in_CP(tensor, module=0, max_key=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1a72d549",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sp.pl.show_proportion_in_CP(tensor, module=4, max_key=10)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}