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"# Differential Expression Analysis of Mouse Mammary RNA-seq with pylimma\n",
"\n",
"This tutorial walks through a standard `limma`-style RNA-seq\n",
"differential-expression workflow using pylimma. It mirrors the\n",
"equivalent analysis path from the R limma User's Guide.\n",
"\n",
"\n",
"**R-parity validation**: the sibling notebook [`gse60450_R_vs_Python.ipynb`](gse60450_R_vs_Python.ipynb) runs R limma 3.66.0 on the same input and compares the outputs numerically.\n",
"\n",
"## Dataset\n",
"\n",
"**Fu et al. 2015, *Nature Cell Biology* 17:365-375**: paired-end RNA-seq of FACS-sorted mouse mammary epithelial populations. The shipped subset covers `basal` and `luminal` cell types across six replicates per group (12 samples total) for a ~27k-gene count matrix.\n",
"\n",
"## Pipeline\n",
"\n",
"1. Load counts and sample metadata\n",
"2. Library-size sanity check\n",
"3. Filter low-expression genes\n",
"4. log-CPM kernel-density plot (before / after filter)\n",
"5. Multi-dimensional scaling (coloured by group)\n",
"6. Build the design matrix\n",
"7. Run `voom`\n",
"8. Fit linear models and contrasts\n",
"9. Empirical Bayes moderation\n",
"10. Extract the top table\n",
"11. MD plot\n",
"12. Volcano plot\n",
"13. Heatmap of top 50 DE genes (row-ordered by signed t-statistic)\n",
"14. Summary\n"
]
},
{
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"id": "ba58f45e",
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"source": [
"import sys\n",
"from pathlib import Path\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"REPO = Path.cwd().resolve().parents[1]\n",
"sys.path.insert(0, str(REPO))\n",
"sys.path.insert(0, str(REPO / 'data'))\n",
"\n",
"import generate_data as gd\n",
"\n",
"import pylimma\n",
"\n",
"pd.set_option('display.width', 120)\n",
"pd.set_option('display.max_columns', 10)\n",
"np.set_printoptions(precision=4, suppress=True)\n",
"\n",
"# Shared plotting helpers used by every tutorial.\n",
"\n",
"def _log_cpm(mat, lib_size):\n",
" cpm = mat.div(lib_size, axis=1) * 1e6 if hasattr(mat, 'div') \\\n",
" else (mat / lib_size) * 1e6\n",
" return np.log2(cpm + 1e-2)\n",
"\n",
"\n",
"def plot_log_cpm_density(mat, ax, title=\"\"):\n",
" '''Kernel-smoothed log-CPM density, one line per sample.\n",
"\n",
" Matches edgeR/limma's standard density plot (limma User's Guide\n",
" Figure 15.1): a Gaussian KDE per sample drawn on a shared grid.\n",
" '''\n",
" from scipy.stats import gaussian_kde\n",
" arr = mat.values if hasattr(mat, 'values') else np.asarray(mat)\n",
" # Shared evaluation grid spanning the combined range.\n",
" lo, hi = np.nanmin(arr), np.nanmax(arr)\n",
" grid = np.linspace(lo, hi, 200)\n",
" for j in range(arr.shape[1]):\n",
" col = arr[:, j]\n",
" col = col[np.isfinite(col)]\n",
" if col.size < 2:\n",
" continue\n",
" kde = gaussian_kde(col)\n",
" ax.plot(grid, kde(grid), linewidth=0.8, alpha=0.7)\n",
" ax.set_xlabel('log2 CPM')\n",
" ax.set_ylabel('Density')\n",
" ax.set_title(title)\n",
"\n",
"\n",
"def mds_coords(mat, top=500):\n",
" '''Pairwise leading-logFC MDS, matching R limma's plotMDS.default.\n",
"\n",
" Returns the (n_samples, ndim) coordinate matrix and the percent of\n",
" variance explained per dimension. We reuse pylimma's private\n",
" _mds_coordinates for consistency with plot_mds().\n",
" '''\n",
" from pylimma.plotting import _mds_coordinates\n",
" r = _mds_coordinates(np.asarray(mat, dtype=np.float64), top=top,\n",
" gene_selection='pairwise', ndim=2)\n",
" lam = np.maximum(r['eigen_values'], 0.0)\n",
" coords = r['eigen_vectors'] * np.sqrt(lam)\n",
" return coords, r['var_explained']\n",
"\n",
"\n",
"def plot_mds_coloured(mat, groups, ax, top=500, title='MDS'):\n",
" '''MDS scatter plot coloured by sample group.'''\n",
" coords, var_exp = mds_coords(mat, top=top)\n",
" pct = np.round(var_exp * 100).astype(int)\n",
" groups = np.asarray(groups)\n",
" levels = sorted(pd.unique(groups))\n",
" palette = plt.get_cmap('tab10').colors\n",
" for k, level in enumerate(levels):\n",
" m = groups == level\n",
" ax.scatter(coords[m, 0], coords[m, 1],\n",
" s=55, color=palette[k % len(palette)],\n",
" label=str(level), edgecolor='k', linewidth=0.3)\n",
" ax.axhline(0, color='grey', linewidth=0.4, linestyle=':')\n",
" ax.axvline(0, color='grey', linewidth=0.4, linestyle=':')\n",
" ax.set_xlabel(f'Leading logFC dim 1 ({pct[0]}%)')\n",
" ax.set_ylabel(f'Leading logFC dim 2 ({pct[1]}%)')\n",
" ax.set_title(title)\n",
" ax.legend(fontsize=8, frameon=False)\n",
"\n",
"\n",
"def plot_heatmap(E, groups, fit, n_top=50, ax=None):\n",
" '''Heatmap of top-n DE rows showing BOTH directions.\n",
"\n",
" Picks the top n/2 genes with the most positive t and the top n/2\n",
" with the most negative t (by smallest p within each side), then\n",
" stacks them - up-regulated in the contrast at top, down-regulated\n",
" at bottom. Row z-scored.'''\n",
" t = np.asarray(fit['t']).ravel()\n",
" p = np.asarray(fit['p_value']).ravel()\n",
" half = n_top // 2\n",
" up_pool = np.where(t > 0)[0]\n",
" down_pool = np.where(t < 0)[0]\n",
" top_up = up_pool[np.argsort(p[up_pool])[:half]]\n",
" top_down = down_pool[np.argsort(p[down_pool])[:n_top - half]]\n",
" # Sort each block by signed t descending so most-up is top and\n",
" # most-down is bottom.\n",
" top_up = top_up[np.argsort(-t[top_up])]\n",
" top_down = top_down[np.argsort(-t[top_down])]\n",
" ordered = np.concatenate([top_up, top_down])\n",
"\n",
" mat = E[ordered]\n",
" col_order = np.argsort(groups)\n",
" mat_sorted = mat[:, col_order]\n",
" z = (mat_sorted - mat_sorted.mean(axis=1, keepdims=True)) / \\\n",
" (mat_sorted.std(axis=1, keepdims=True) + 1e-8)\n",
"\n",
" if ax is None:\n",
" fig, ax = plt.subplots(figsize=(9, 8))\n",
" im = ax.imshow(z, aspect='auto', cmap='RdBu_r', vmin=-2, vmax=2)\n",
" ax.set_xticks(range(len(col_order)))\n",
" ax.set_xticklabels(np.asarray(groups)[col_order], rotation=90, fontsize=6)\n",
" ax.set_yticks([])\n",
" ax.set_title(f'Top {n_top} DE genes (top {half} up + top {n_top - half} down; row z-scored)')\n",
" return ax, im, ordered\n"
]
},
{
"cell_type": "markdown",
"id": "edf2eb5e",
"metadata": {},
"source": [
"## 1. Load counts and sample metadata"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "ba5a0f67",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:42.611833Z",
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"counts shape: (27179, 12) (genes x samples)\n",
"\n",
"celltype breakdown:\n",
"group\n",
"basal 6\n",
"luminal 6\n",
"Name: count, dtype: int64\n"
]
},
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" immunophenotype | \n",
" developmental_stage | \n",
" group | \n",
"
\n",
" \n",
" \n",
" \n",
" | MCL1-DG | \n",
" basal | \n",
" virgin | \n",
" basal.virgin | \n",
"
\n",
" \n",
" | MCL1-DH | \n",
" basal | \n",
" virgin | \n",
" basal.virgin | \n",
"
\n",
" \n",
" | MCL1-DI | \n",
" basal | \n",
" pregnant | \n",
" basal.pregnant | \n",
"
\n",
" \n",
" | MCL1-DJ | \n",
" basal | \n",
" pregnant | \n",
" basal.pregnant | \n",
"
\n",
" \n",
" | MCL1-DK | \n",
" basal | \n",
" lactate | \n",
" basal.lactate | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" immunophenotype developmental_stage group\n",
"MCL1-DG basal virgin basal.virgin\n",
"MCL1-DH basal virgin basal.virgin\n",
"MCL1-DI basal pregnant basal.pregnant\n",
"MCL1-DJ basal pregnant basal.pregnant\n",
"MCL1-DK basal lactate basal.lactate"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = gd.load_gse60450()\n",
"counts = data['counts']\n",
"targets = data['targets']\n",
"\n",
"print(f\"counts shape: {counts.shape} (genes x samples)\")\n",
"group = targets[\"group\"].astype(str).str.split(\".\").str[0]\n",
"print(\"\\ncelltype breakdown:\")\n",
"print(group.value_counts())\n",
"targets.head()"
]
},
{
"cell_type": "markdown",
"id": "15bc007e",
"metadata": {},
"source": [
"## 2. Library sizes"
]
},
{
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"execution_count": 3,
"id": "741f67e2",
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"shell.execute_reply": "2026-04-20T19:12:42.807751Z"
}
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"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"min: 20.0M, max: 24.7M\n"
]
}
],
"source": [
"lib_size = counts.sum(axis=0)\n",
"\n",
"fig, ax = plt.subplots(figsize=(8, 3))\n",
"ax.bar(range(len(lib_size)), lib_size.values / 1e6, color='steelblue')\n",
"ax.set_xticks(range(len(lib_size)))\n",
"ax.set_xticklabels(counts.columns, rotation=45, ha='right', fontsize=7)\n",
"ax.set_ylabel('Library size (M reads)')\n",
"ax.set_title('Library sizes per sample')\n",
"fig.tight_layout()\n",
"plt.show()\n",
"\n",
"print(f\"min: {lib_size.min() / 1e6:.1f}M, max: {lib_size.max() / 1e6:.1f}M\")"
]
},
{
"cell_type": "markdown",
"id": "abd5bf6c",
"metadata": {},
"source": [
"## 3. Filter low-expression genes\n",
"\n",
"Keep genes with CPM > (10 / median library size in millions) in at\n",
"least as many samples as the smallest group. This rule of thumb,\n",
"from the limma User's Guide, removes ~half the low-count noise\n",
"without sacrificing real DE signal."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "3146be0b",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:42.812948Z",
"iopub.status.busy": "2026-04-20T19:12:42.812629Z",
"iopub.status.idle": "2026-04-20T19:12:42.822743Z",
"shell.execute_reply": "2026-04-20T19:12:42.822043Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"filter kept 14,453 / 27,179 genes (53.2%)\n"
]
}
],
"source": [
"cpm = counts.div(lib_size, axis=1) * 1e6\n",
"n_per_group = group.value_counts().min()\n",
"cutoff = 10.0 / (lib_size.median() / 1e6)\n",
"keep = (cpm > cutoff).sum(axis=1) >= n_per_group\n",
"counts_f = counts.loc[keep]\n",
"print(f\"filter kept {keep.sum():,} / {len(keep):,} genes \"\n",
" f\"({100 * keep.mean():.1f}%)\")"
]
},
{
"cell_type": "markdown",
"id": "23d82a36",
"metadata": {},
"source": [
"## 4. log-CPM density before / after filter\n",
"\n",
"Kernel density estimate per sample on a shared grid. Before\n",
"filtering there is a big mass near zero-expression; filtering\n",
"removes it and the sample densities overlap cleanly."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "5a4c77ff",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:42.827892Z",
"iopub.status.busy": "2026-04-20T19:12:42.827554Z",
"iopub.status.idle": "2026-04-20T19:12:43.619544Z",
"shell.execute_reply": "2026-04-20T19:12:43.618585Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lcpm_before = _log_cpm(counts, lib_size)\n",
"lcpm_after = _log_cpm(counts_f, lib_size)\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 3.5), sharex=True)\n",
"plot_log_cpm_density(lcpm_before, ax1,\n",
" f\"Before filter ({len(counts):,} genes)\")\n",
"plot_log_cpm_density(lcpm_after, ax2,\n",
" f\"After filter ({len(counts_f):,} genes)\")\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "1d6f9c6e",
"metadata": {},
"source": [
"## 5. MDS (coloured by group)\n",
"\n",
"Samples projected into 2D via the top-500 leading log-FCs. Tight\n",
"clusters separated along the biological axis of interest indicate\n",
"a well-structured experiment."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "a6fb154c",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:43.623468Z",
"iopub.status.busy": "2026-04-20T19:12:43.622947Z",
"iopub.status.idle": "2026-04-20T19:12:43.759262Z",
"shell.execute_reply": "2026-04-20T19:12:43.758923Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(5.5, 5))\n",
"plot_mds_coloured(lcpm_after.values, group.values, ax,\n",
" top=500, title='MDS (celltype)')\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "c52540d6",
"metadata": {},
"source": [
"## 6. Design matrix\n",
"\n",
"Two-group cell-means design; contrast = `luminal - basal`."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "71fbcb12",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:43.761155Z",
"iopub.status.busy": "2026-04-20T19:12:43.761030Z",
"iopub.status.idle": "2026-04-20T19:12:43.765070Z",
"shell.execute_reply": "2026-04-20T19:12:43.764731Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Design matrix:\n",
" basal luminal\n",
"MCL1-DG 1.0 0.0\n",
"MCL1-DH 1.0 0.0\n",
"MCL1-DI 1.0 0.0\n",
"MCL1-DJ 1.0 0.0\n",
"MCL1-DK 1.0 0.0\n",
"MCL1-DL 1.0 0.0\n",
"MCL1-LA 0.0 1.0\n",
"MCL1-LB 0.0 1.0\n",
"MCL1-LC 0.0 1.0\n",
"MCL1-LD 0.0 1.0\n",
"MCL1-LE 0.0 1.0\n",
"MCL1-LF 0.0 1.0\n",
"\n",
"Contrast (luminal - basal): [-1. 1.]\n"
]
}
],
"source": [
"design, C = gd.build_two_group_design(group)\n",
"design_df = pd.DataFrame(\n",
" design, index=counts_f.columns,\n",
" columns=sorted(group.unique()),\n",
")\n",
"print('Design matrix:')\n",
"print(design_df)\n",
"print(f\"\\nContrast (luminal - basal): {C.ravel()}\")"
]
},
{
"cell_type": "markdown",
"id": "4c39b20f",
"metadata": {},
"source": [
"## 7. voom\n",
"\n",
"`voom` models the mean-variance trend in log-CPM space and returns\n",
"per-observation precision weights. The plot below is the trend\n",
"fit; the scatter behind it is per-gene variance vs mean\n",
"expression."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "b67b058e",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:43.766560Z",
"iopub.status.busy": "2026-04-20T19:12:43.766467Z",
"iopub.status.idle": "2026-04-20T19:12:44.264172Z",
"shell.execute_reply": "2026-04-20T19:12:44.262699Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/John/miniconda3/lib/python3.11/site-packages/h5py/__init__.py:36: UserWarning: h5py is running against HDF5 1.14.3 when it was built against 1.14.2, this may cause problems\n",
" _warn((\"h5py is running against HDF5 {0} when it was built against {1}, \"\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"voom$E shape: (14453, 12)\n",
"voom$weights shape: (14453, 12)\n"
]
}
],
"source": [
"v = pylimma.voom(counts_f.values.astype(float), design, plot=True)\n",
"plt.show()\n",
"\n",
"print(f\"voom$E shape: {v['E'].shape}\")\n",
"print(f\"voom$weights shape: {v['weights'].shape}\")"
]
},
{
"cell_type": "markdown",
"id": "9ebf1d5a",
"metadata": {},
"source": [
"## 8. Fit linear models and contrasts"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "5fcb5cb4",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:44.269170Z",
"iopub.status.busy": "2026-04-20T19:12:44.268884Z",
"iopub.status.idle": "2026-04-20T19:12:45.282902Z",
"shell.execute_reply": "2026-04-20T19:12:45.274412Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"fit$coefficients shape: (14453, 1)\n"
]
}
],
"source": [
"fit = pylimma.lm_fit(v['E'], design, weights=v['weights'])\n",
"fit = pylimma.contrasts_fit(fit, contrasts=C)\n",
"print(f\"fit$coefficients shape: {fit['coefficients'].shape}\")"
]
},
{
"cell_type": "markdown",
"id": "eaa2c5c2",
"metadata": {},
"source": [
"## 9. Empirical Bayes moderation"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "41d358fd",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:45.306000Z",
"iopub.status.busy": "2026-04-20T19:12:45.305704Z",
"iopub.status.idle": "2026-04-20T19:12:45.348442Z",
"shell.execute_reply": "2026-04-20T19:12:45.347813Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"s2_prior: 0.7709\n",
"df_prior: 3.70\n"
]
}
],
"source": [
"fit = pylimma.e_bayes(fit)\n",
"print(f\"s2_prior: {fit['s2_prior']:.4f}\")\n",
"print(f\"df_prior: {fit['df_prior']:.2f}\")"
]
},
{
"cell_type": "markdown",
"id": "3018fce9",
"metadata": {},
"source": [
"## 10. Top table"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "cea23f2f",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:45.352676Z",
"iopub.status.busy": "2026-04-20T19:12:45.352394Z",
"iopub.status.idle": "2026-04-20T19:12:45.382805Z",
"shell.execute_reply": "2026-04-20T19:12:45.382089Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"DE calls at adj_p_value < 0.05: 6,503 genes\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" log_fc | \n",
" ave_expr | \n",
" t | \n",
" p_value | \n",
" adj_p_value | \n",
" b | \n",
"
\n",
" \n",
" | EntrezGeneID | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
"
\n",
" \n",
" \n",
" \n",
" | 110308 | \n",
" -9.275588 | \n",
" 6.724141 | \n",
" -36.574445 | \n",
" 4.701459e-15 | \n",
" 6.795019e-11 | \n",
" 22.520253 | \n",
"
\n",
" \n",
" | 12293 | \n",
" -8.677084 | \n",
" 3.587313 | \n",
" -29.336405 | \n",
" 9.294360e-14 | \n",
" 4.675699e-10 | \n",
" 19.794948 | \n",
"
\n",
" \n",
" | 12821 | \n",
" -8.009916 | \n",
" 6.069408 | \n",
" -28.673062 | \n",
" 1.265345e-13 | \n",
" 4.675699e-10 | \n",
" 20.384824 | \n",
"
\n",
" \n",
" | 22061 | \n",
" -8.385342 | \n",
" 4.191759 | \n",
" -28.625416 | \n",
" 1.294042e-13 | \n",
" 4.675699e-10 | \n",
" 19.803047 | \n",
"
\n",
" \n",
" | 20692 | \n",
" -6.564264 | \n",
" 7.640396 | \n",
" -26.468699 | \n",
" 3.716121e-13 | \n",
" 1.074182e-09 | \n",
" 19.927955 | \n",
"
\n",
" \n",
" | 12560 | \n",
" -7.487898 | \n",
" 4.908416 | \n",
" -25.759656 | \n",
" 5.353172e-13 | \n",
" 1.164151e-09 | \n",
" 19.136431 | \n",
"
\n",
" \n",
" | 50706 | \n",
" -8.053250 | \n",
" 7.948807 | \n",
" -25.660343 | \n",
" 5.638313e-13 | \n",
" 1.164151e-09 | \n",
" 19.514670 | \n",
"
\n",
" \n",
" | 77220 | \n",
" -8.435911 | \n",
" 1.182273 | \n",
" -23.765867 | \n",
" 1.577334e-12 | \n",
" 2.535524e-09 | \n",
" 17.351796 | \n",
"
\n",
" \n",
" | 22004 | \n",
" -8.967683 | \n",
" 6.988385 | \n",
" -23.744705 | \n",
" 1.596263e-12 | \n",
" 2.535524e-09 | \n",
" 18.482607 | \n",
"
\n",
" \n",
" | 59012 | \n",
" -7.891619 | \n",
" 3.569024 | \n",
" -23.480766 | \n",
" 1.853937e-12 | \n",
" 2.535524e-09 | \n",
" 17.870704 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" log_fc ave_expr t p_value adj_p_value b\n",
"EntrezGeneID \n",
"110308 -9.275588 6.724141 -36.574445 4.701459e-15 6.795019e-11 22.520253\n",
"12293 -8.677084 3.587313 -29.336405 9.294360e-14 4.675699e-10 19.794948\n",
"12821 -8.009916 6.069408 -28.673062 1.265345e-13 4.675699e-10 20.384824\n",
"22061 -8.385342 4.191759 -28.625416 1.294042e-13 4.675699e-10 19.803047\n",
"20692 -6.564264 7.640396 -26.468699 3.716121e-13 1.074182e-09 19.927955\n",
"12560 -7.487898 4.908416 -25.759656 5.353172e-13 1.164151e-09 19.136431\n",
"50706 -8.053250 7.948807 -25.660343 5.638313e-13 1.164151e-09 19.514670\n",
"77220 -8.435911 1.182273 -23.765867 1.577334e-12 2.535524e-09 17.351796\n",
"22004 -8.967683 6.988385 -23.744705 1.596263e-12 2.535524e-09 18.482607\n",
"59012 -7.891619 3.569024 -23.480766 1.853937e-12 2.535524e-09 17.870704"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tt = pylimma.top_table(fit, coef=0, number=np.inf, sort_by='p')\n",
"tt.index = counts_f.index.astype(str)[np.argsort(np.asarray(fit['p_value']).ravel())]\n",
"print(f\"DE calls at adj_p_value < 0.05: \"\n",
" f\"{(tt['adj_p_value'] < 0.05).sum():,} genes\")\n",
"tt.head(10)"
]
},
{
"cell_type": "markdown",
"id": "52be499a",
"metadata": {},
"source": [
"## 11. MD plot\n",
"\n",
"x = average log-expression, y = log fold-change\n",
"(luminal - basal). DE calls coloured by direction."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "c54edda2",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:45.386782Z",
"iopub.status.busy": "2026-04-20T19:12:45.386386Z",
"iopub.status.idle": "2026-04-20T19:12:45.542697Z",
"shell.execute_reply": "2026-04-20T19:12:45.542373Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"logFC = fit['coefficients'][:, 0]\n",
"AveExpr = fit.get('Amean') if fit.get('Amean') is not None \\\n",
" else v['E'].mean(axis=1)\n",
"adj_sig = pylimma.decide_tests(fit, p_value=0.05).ravel() != 0\n",
"\n",
"fig, ax = plt.subplots(figsize=(6.5, 4.5))\n",
"ax.scatter(AveExpr[~adj_sig], logFC[~adj_sig], s=2, c='lightgrey',\n",
" label=f\"n.s. ({(~adj_sig).sum():,})\")\n",
"ax.scatter(AveExpr[adj_sig & (logFC > 0)],\n",
" logFC[adj_sig & (logFC > 0)], s=4, c='firebrick',\n",
" label=f\"up ({(adj_sig & (logFC > 0)).sum():,})\")\n",
"ax.scatter(AveExpr[adj_sig & (logFC < 0)],\n",
" logFC[adj_sig & (logFC < 0)], s=4, c='steelblue',\n",
" label=f\"down ({(adj_sig & (logFC < 0)).sum():,})\")\n",
"ax.axhline(0, color='k', linewidth=0.5)\n",
"ax.set_xlabel('Average log-CPM')\n",
"ax.set_ylabel('log2 fold-change (luminal - basal)')\n",
"ax.set_title('MD plot')\n",
"ax.legend(fontsize=8, frameon=False)\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "5e165653",
"metadata": {},
"source": [
"## 12. Volcano plot"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "bc05cb0d",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:45.544600Z",
"iopub.status.busy": "2026-04-20T19:12:45.544402Z",
"iopub.status.idle": "2026-04-20T19:12:45.608347Z",
"shell.execute_reply": "2026-04-20T19:12:45.608052Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p = np.asarray(fit['p_value']).ravel()\n",
"neglogp = -np.log10(np.maximum(p, 1e-300))\n",
"\n",
"fig, ax = plt.subplots(figsize=(6, 5))\n",
"ax.scatter(logFC[~adj_sig], neglogp[~adj_sig], s=2, c='lightgrey')\n",
"ax.scatter(logFC[adj_sig & (logFC > 0)],\n",
" neglogp[adj_sig & (logFC > 0)], s=4, c='firebrick')\n",
"ax.scatter(logFC[adj_sig & (logFC < 0)],\n",
" neglogp[adj_sig & (logFC < 0)], s=4, c='steelblue')\n",
"ax.axhline(-np.log10(0.05), color='k', linewidth=0.5, linestyle='--')\n",
"ax.axvline(0, color='k', linewidth=0.5)\n",
"ax.set_xlabel('log2 fold-change (luminal - basal)')\n",
"ax.set_ylabel('-log10 p-value')\n",
"ax.set_title('Volcano plot')\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "4d180c6d",
"metadata": {},
"source": [
"## 13. Heatmap of top 50 DE genes\n",
"\n",
"Rows = genes ordered by **signed t-statistic** (up-regulated at\n",
"top, down-regulated at bottom). Columns grouped by cell type.\n",
"Per-gene z-scored log-CPM."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "233dd91f",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:45.610134Z",
"iopub.status.busy": "2026-04-20T19:12:45.610013Z",
"iopub.status.idle": "2026-04-20T19:12:45.770571Z",
"shell.execute_reply": "2026-04-20T19:12:45.770286Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(9, 8))\n",
"ax, im, ordered = plot_heatmap(v['E'], group.values, fit,\n",
" n_top=50, ax=ax)\n",
"gene_ids = counts_f.index.astype(str)[ordered]\n",
"ax.set_yticks(range(len(ordered)))\n",
"ax.set_yticklabels(gene_ids, fontsize=5)\n",
"fig.colorbar(im, ax=ax, shrink=0.5, label='z-score')\n",
"fig.tight_layout()\n",
"plt.show()"
]
}
],
"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": "3.11.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}