{
"cells": [
{
"cell_type": "markdown",
"id": "d3665717",
"metadata": {},
"source": [
"# Differential Expression Analysis of Yoruba HapMap 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 [`yoruba_R_vs_Python.ipynb`](yoruba_R_vs_Python.ipynb) runs R limma 3.66.0 on the same input and compares the outputs numerically.\n",
"\n",
"## Dataset\n",
"\n",
"**Pickrell et al. 2010, *Nature* 464:768-772**: RNA-seq of lymphoblastoid cell lines from 69 Yoruba HapMap individuals. Contrast: female vs male, dominated by X- and Y-chromosome genes.\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"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "405bec02",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:47.703774Z",
"iopub.status.busy": "2026-04-20T19:12:47.703641Z",
"iopub.status.idle": "2026-04-20T19:12:49.024305Z",
"shell.execute_reply": "2026-04-20T19:12:49.023350Z"
}
},
"outputs": [],
"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": "4143a9f1",
"metadata": {},
"source": [
"## 1. Load counts and sample metadata"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "62ee5035",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:49.030554Z",
"iopub.status.busy": "2026-04-20T19:12:49.029812Z",
"iopub.status.idle": "2026-04-20T19:12:49.187055Z",
"shell.execute_reply": "2026-04-20T19:12:49.186372Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"counts shape: (38415, 69) (genes x samples)\n",
"\n",
"gender breakdown:\n",
"gender\n",
"female 40\n",
"male 29\n",
"Name: count, dtype: int64\n"
]
},
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" num.tech.reps | \n",
" population | \n",
" study | \n",
" gender | \n",
"
\n",
" \n",
" \n",
" \n",
" | NA18486 | \n",
" 2 | \n",
" YRI | \n",
" Pickrell | \n",
" male | \n",
"
\n",
" \n",
" | NA18498 | \n",
" 2 | \n",
" YRI | \n",
" Pickrell | \n",
" male | \n",
"
\n",
" \n",
" | NA18499 | \n",
" 2 | \n",
" YRI | \n",
" Pickrell | \n",
" female | \n",
"
\n",
" \n",
" | NA18501 | \n",
" 2 | \n",
" YRI | \n",
" Pickrell | \n",
" male | \n",
"
\n",
" \n",
" | NA18502 | \n",
" 2 | \n",
" YRI | \n",
" Pickrell | \n",
" female | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" num.tech.reps population study gender\n",
"NA18486 2 YRI Pickrell male\n",
"NA18498 2 YRI Pickrell male\n",
"NA18499 2 YRI Pickrell female\n",
"NA18501 2 YRI Pickrell male\n",
"NA18502 2 YRI Pickrell female"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = gd.load_yoruba()\n",
"counts = data['counts']\n",
"targets = data['targets']\n",
"\n",
"print(f\"counts shape: {counts.shape} (genes x samples)\")\n",
"group = targets[\"gender\"].astype(str)\n",
"print(\"\\ngender breakdown:\")\n",
"print(group.value_counts())\n",
"targets.head()"
]
},
{
"cell_type": "markdown",
"id": "5cd91568",
"metadata": {},
"source": [
"## 2. Library sizes"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e4f4c2e8",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:49.191274Z",
"iopub.status.busy": "2026-04-20T19:12:49.190853Z",
"iopub.status.idle": "2026-04-20T19:12:49.397511Z",
"shell.execute_reply": "2026-04-20T19:12:49.397140Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"min: 4.9M, max: 15.7M\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": "c9a55791",
"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": "802bb678",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:49.399191Z",
"iopub.status.busy": "2026-04-20T19:12:49.399085Z",
"iopub.status.idle": "2026-04-20T19:12:49.418505Z",
"shell.execute_reply": "2026-04-20T19:12:49.418205Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"filter kept 17,860 / 38,415 genes (46.5%)\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": "cf4525c4",
"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": "59e6ac9c",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:49.420125Z",
"iopub.status.busy": "2026-04-20T19:12:49.420024Z",
"iopub.status.idle": "2026-04-20T19:12:53.595352Z",
"shell.execute_reply": "2026-04-20T19:12:53.593418Z"
}
},
"outputs": [
{
"data": {
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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": "a19be478",
"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": "34d2064d",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:53.601845Z",
"iopub.status.busy": "2026-04-20T19:12:53.600119Z",
"iopub.status.idle": "2026-04-20T19:12:55.925079Z",
"shell.execute_reply": "2026-04-20T19:12:55.924719Z"
}
},
"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 (gender)')\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "5a8b53ce",
"metadata": {},
"source": [
"## 6. Design matrix\n",
"\n",
"Two-group cell-means design; contrast = `female - male`."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "eb67d523",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:55.926899Z",
"iopub.status.busy": "2026-04-20T19:12:55.926778Z",
"iopub.status.idle": "2026-04-20T19:12:55.930959Z",
"shell.execute_reply": "2026-04-20T19:12:55.930696Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Design matrix:\n",
" female male\n",
"NA18486 0.0 1.0\n",
"NA18498 0.0 1.0\n",
"NA18499 1.0 0.0\n",
"NA18501 0.0 1.0\n",
"NA18502 1.0 0.0\n",
"... ... ...\n",
"NA19222 1.0 0.0\n",
"NA19225 1.0 0.0\n",
"NA19238 1.0 0.0\n",
"NA19239 0.0 1.0\n",
"NA19257 1.0 0.0\n",
"\n",
"[69 rows x 2 columns]\n",
"\n",
"Contrast (female - male): [-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 (female - male): {C.ravel()}\")"
]
},
{
"cell_type": "markdown",
"id": "9195a386",
"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": "5850d0eb",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:55.932456Z",
"iopub.status.busy": "2026-04-20T19:12:55.932372Z",
"iopub.status.idle": "2026-04-20T19:12:56.531181Z",
"shell.execute_reply": "2026-04-20T19:12:56.530803Z"
}
},
"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": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"voom$E shape: (17860, 69)\n",
"voom$weights shape: (17860, 69)\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": "60832579",
"metadata": {},
"source": [
"## 8. Fit linear models and contrasts"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "8523de79",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:56.532907Z",
"iopub.status.busy": "2026-04-20T19:12:56.532681Z",
"iopub.status.idle": "2026-04-20T19:12:58.011099Z",
"shell.execute_reply": "2026-04-20T19:12:58.002677Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"fit$coefficients shape: (17860, 1)\n"
]
}
],
"source": [
"fit = pylimma.lm_fit(v['E'], design, weights=v['weights'])\n",
"fit = pylimma.contrasts_fit(fit, contrasts=C)\n",
"print(f\"fit$coefficients shape: {fit['coefficients'].shape}\")"
]
},
{
"cell_type": "markdown",
"id": "ea6d32c4",
"metadata": {},
"source": [
"## 9. Empirical Bayes moderation"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "0ec60958",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:58.015267Z",
"iopub.status.busy": "2026-04-20T19:12:58.014989Z",
"iopub.status.idle": "2026-04-20T19:12:58.041375Z",
"shell.execute_reply": "2026-04-20T19:12:58.040067Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"s2_prior: 0.8495\n",
"df_prior: 4.98\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": "6f980d23",
"metadata": {},
"source": [
"## 10. Top table"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "0ba19c8c",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:58.046180Z",
"iopub.status.busy": "2026-04-20T19:12:58.045422Z",
"iopub.status.idle": "2026-04-20T19:12:58.082645Z",
"shell.execute_reply": "2026-04-20T19:12:58.081284Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"DE calls at adj_p_value < 0.05: 52 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",
" \n",
" \n",
" | ENSG00000229807 | \n",
" -9.754111 | \n",
" 3.757487 | \n",
" -30.204314 | \n",
" 1.273538e-42 | \n",
" 2.274539e-38 | \n",
" 64.596795 | \n",
"
\n",
" \n",
" | ENSG00000157828 | \n",
" 3.331036 | \n",
" 3.257210 | \n",
" 27.465826 | \n",
" 6.949407e-40 | \n",
" 6.205821e-36 | \n",
" 74.017347 | \n",
"
\n",
" \n",
" | ENSG00000099749 | \n",
" 4.317234 | \n",
" 0.263767 | \n",
" 26.148507 | \n",
" 1.739289e-38 | \n",
" 1.035457e-34 | \n",
" 62.613707 | \n",
"
\n",
" \n",
" | ENSG00000233864 | \n",
" 4.953478 | \n",
" -0.604718 | \n",
" 25.433224 | \n",
" 1.056581e-37 | \n",
" 4.717636e-34 | \n",
" 60.339780 | \n",
"
\n",
" \n",
" | ENSG00000131002 | \n",
" 5.505956 | \n",
" -0.221843 | \n",
" 22.499691 | \n",
" 2.705099e-34 | \n",
" 9.662612e-31 | \n",
" 56.082086 | \n",
"
\n",
" \n",
" | ENSG00000129824 | \n",
" 2.828112 | \n",
" 4.660897 | \n",
" 19.558774 | \n",
" 1.595046e-30 | \n",
" 4.747922e-27 | \n",
" 57.061885 | \n",
"
\n",
" \n",
" | ENSG00000213318 | \n",
" 4.345767 | \n",
" 2.214549 | \n",
" 19.314856 | \n",
" 3.413102e-30 | \n",
" 8.708286e-27 | \n",
" 53.976644 | \n",
"
\n",
" \n",
" | ENSG00000165246 | \n",
" 5.386264 | \n",
" -0.542520 | \n",
" 18.815555 | \n",
" 1.653385e-29 | \n",
" 3.691182e-26 | \n",
" 48.414148 | \n",
"
\n",
" \n",
" | ENSG00000198692 | \n",
" 2.476822 | \n",
" 2.629761 | \n",
" 18.179260 | \n",
" 1.286432e-28 | \n",
" 2.552852e-25 | \n",
" 51.997921 | \n",
"
\n",
" \n",
" | ENSG00000243209 | \n",
" 2.606131 | \n",
" -0.068742 | \n",
" 14.467088 | \n",
" 5.372496e-23 | \n",
" 9.595278e-20 | \n",
" 37.351348 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" log_fc ave_expr t p_value adj_p_value b\n",
"ENSG00000229807 -9.754111 3.757487 -30.204314 1.273538e-42 2.274539e-38 64.596795\n",
"ENSG00000157828 3.331036 3.257210 27.465826 6.949407e-40 6.205821e-36 74.017347\n",
"ENSG00000099749 4.317234 0.263767 26.148507 1.739289e-38 1.035457e-34 62.613707\n",
"ENSG00000233864 4.953478 -0.604718 25.433224 1.056581e-37 4.717636e-34 60.339780\n",
"ENSG00000131002 5.505956 -0.221843 22.499691 2.705099e-34 9.662612e-31 56.082086\n",
"ENSG00000129824 2.828112 4.660897 19.558774 1.595046e-30 4.747922e-27 57.061885\n",
"ENSG00000213318 4.345767 2.214549 19.314856 3.413102e-30 8.708286e-27 53.976644\n",
"ENSG00000165246 5.386264 -0.542520 18.815555 1.653385e-29 3.691182e-26 48.414148\n",
"ENSG00000198692 2.476822 2.629761 18.179260 1.286432e-28 2.552852e-25 51.997921\n",
"ENSG00000243209 2.606131 -0.068742 14.467088 5.372496e-23 9.595278e-20 37.351348"
]
},
"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": "9a366a1e",
"metadata": {},
"source": [
"## 11. MD plot\n",
"\n",
"x = average log-expression, y = log fold-change\n",
"(female - male). DE calls coloured by direction."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "279cccc2",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:58.087909Z",
"iopub.status.busy": "2026-04-20T19:12:58.086875Z",
"iopub.status.idle": "2026-04-20T19:12:58.227897Z",
"shell.execute_reply": "2026-04-20T19:12:58.227154Z"
}
},
"outputs": [
{
"data": {
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dW+KNqV4QESZyBgB4Rfbs2WXkyJH+6WQyauvWrXLbbbclRPCLNip/KV75YyJnAACS3z4meUa4mMgZAAA4Mdo3xTGRMwAAcGK0b4pjIufEbpLXyqwG9KyaTBUAAPr8pXifv0RE6KEvJgAgMvT5Q9IPQFk7dqw5z+o1JBMFfTEBAPFCnz9kKULP3+iLCcCrdMLkAwcOxHs35IorrpCZM2ean1999VVp0KCBNG7c2Jy/9NJL/vu9/fbbZn1fvU1POlG1tWjRIrnooosk2dDnD1keenTR8FgsIZRM6IsJAPEzZ84c2bNnj7Rq1cpcvuGGG8wqJLZ5VSedPvfcc81ScapTp05m/V+3Ro0ameXffvrpJ3P/ZJHSlb9hw4aZvzDuvvvueO8KXKGn6k03mXMvD3TQ117v4Yc9/R4ASH26nq9OlKxB6/HHHz9t+bSmTZuakKVLsC1evNhcf91118kHH3xgftYqXJ48efxrAuuqGz///LOZxLlEiRIyaNAgadasmdSoUUO+/fbbsPZp5MiRcv311/sva19/S5eBO3HiRNhLunXv3t2sApJMUjb8zZ07V0aNGuVP7UgchB4ASDwzl22VET8sNufRsm3bNunTp49Zak2bWDXEOW/Tits777wjv/32m/zzn/+Uq6++2l9pmzhxovl50qRJJtxp4NPm4j///FPOPvtsc9vOnTvNbbo27yuvvCL33HNPWPv1008/SevWrdNcp5W9evXqmbWG77//ftP8a02dOtU0+bZp0+a0CqBuR/cxmaRk+NMPhyZ6TeJFixaN9+4AAJDQNPAN+fhX+XLOWnMerQA4a9YsU9mrVauWuawBz5o9e7a/j53S4/Zff/0lmzdvls6dO8uPP/4oJ0+elCVLlsiAAQPMZQ1hWkHMlSuXeUyBAgXksssuMz/r9atWrQprv/766y8pU6ZMmuu6detmguWyZctk7Nix5lxdcsklsm7dOlm4cKG8+eabJmDq67J0O7oU3PHjxyVZpGT403b7iy++2PzlAAAAQlu0bqdkz5ZNTvl85vy3dTuj8pb5fL6QtwVqWtXrKlWqZKqE//3vf6V58+bSsWNHU63TAOg8tufNm9f/c44cOUxYDEf+/Pnl8OHDAW+rUqWKtGzZUsaPH28ua9Oy3l/VqVPHDPCYMWOG//5HjhwxYdQG0mSQcuHvww8/lPnz55v+fuE4evSo6dzpPAEA4CWNKhf3Bz89b1i5eFS2q9W4BQsWyPLly81lrZw5b9Nqmlb27PG7QoUK/oqchrzBgwebc23F03Cn/QejUdhp2LChLF261H/Z7oPavn27aca13cY2btzov00rfJMnT5YmTZqkeWyydTFLqdG+GzZskLvuukt++OGHNH8NhKIhcejQoTHfNwAAElWrWqVlyNXNTcVPg59ejoZSpUqZ/veXXnqpFC9e3DStWiVLlpR3333XNPdqxU6nU/n444/9t2vT74gRI/xhT6t/o0ePTtMXL6O6desmEyZMkH/84x/m8ssvv2yalLV6pxVJbdrV57fTwGifRb3t1KlT5jb7ODto5corr5RkklIrfHzxxRfStWtX89eBpR8oLSFnz57dVPmctym9Tk+WVv4qVqzICh8AAKSo/fv3m8qj9jvUfoMZdezYMTnrrLNMpVCbh5NlhY+UCn/6y9ROmU69evUyQ8z/9a9/mXl70sPybgAApL4ff/zRNDGHkw2C0UEhOsgkKyZ6jmY+Salm34IFC572S9REr6XmzPxyAQBAaukUhb6DOorZjmROJik34AMAAAAeqfwFokPDAQAA8DcqfwAAAB5C+AMAAPAQwh8AAICHEP4AAAA8hPAHAADgIYQ/AAAAD0n5qV4ApG/Ljz/KjlmzpMTZZ0uZKEx8CgBIXFT+AI/T4Df31ltl7dix5lwvAwBSF+EP8Dit+GXLkUN8J0+a852zZ8d7lwAAMUT4AzxOm3pt8NPz4i1bxnuXAAAxRJ8/wOO0j99ZI0eaip8GP/r8AUBqI/wBMIGP0AcA3hBR+Fu2bJl88MEH8vPPP8vatWvl0KFDUrJkSWnSpImcf/75cuWVV0qePHlit7cAAADIlGw+n8+X3p0WLFggDzzwgAl9rVu3lhYtWkj58uUlX758smvXLvnjjz/Mbfv27TP3u/vuu5M2BOprKFy4sOzdu1cKFSoU790BAACQaOaTsCp/l19+udx///3y0UcfSbFixYLeb+bMmfL888/Ls88+Kw899BC/KgAAgGSs/B07dkxy584d9kYjvX8iofIHAADE65W/YEHuyJEjkjdv3rDvDwCxwAolABDDef5OnToljz/+uOnzd8YZZ8jq1avN9Y8++qiMHj060s0BQKawQgkAxDj8PfHEE/L222/L8OHD01T4GjRoIG+++WakmwOATGGFEgCIcfgbO3asjBo1Sq6//nrJkSOH//qGDRvK0qVLI90cAGQKK5QAQIwned64caPUqFEjYHPw8ePHI90cAGQKK5QAQIzDX7169cycfpUrV05z/SeffGIme4Y30eEe8cQKJQAQw/A3ePBg6dGjh6kAarVv3LhxZuUPbQ4eP358pJtDCnW4z5Yjh6wZM8asE8tSYQAApEifv0svvdRM9vztt99KtmzZZNCgQbJkyRL5+uuvpXPnzrHZSyQ0OtwDAJDClT+l6/jqCbAd7rXip5U/38mTUrxlS96YGKKJHQAQ8xU+vIQVPjIeSHbOnm2CH02+WdPErkGbJnYA8IZ9Wb3CR9GiRU0Tbzh27dqVqR1CcqLDffya2AnbAICoh78XXnghoo0CiA2a2AEAmUWzrwvNvkh0NLEDgPfsy+pm32AOHz582sTOmd0hAKHRxA4AyNKpXg4ePCh33HGHlCpVSs444wzTH9B5AgAAQAqFvwceeEAmT54sr732muTJk0fefPNNGTp0qJQrV85M9BxPw4YNk7POOksKFixowunll19uJqAGAABABsOfTuaswa9bt26SM2dOadeunTzyyCPy1FNPyXvvvSfxNHXqVOnXr5/MmjVLJk6cKCdOnJDzzjvPVCsBAACQgT5/OpVL1apV/f377NQubdu2ldtuuy2u7+l3332X5vKYMWNMBXDevHlyzjnnxG2/AAAAkrbyV61aNVm7dq35uW7duvLxxx/7K4JFihSRRKIjYlSxYsXivSsAAADJWfnr1auXLFq0SNq3by8DBw6Uiy++WF5++WXTxPrcc89JotCFSwYMGGAqkvXr1w96v6NHj5qTcyg1kAxY5g0AEJd5/tavXy+//vqrVK9eXRo1aiSJQvv+ffPNNzJ9+nSpUKFC0PsNGTLEDFhxi8Y8OkCssMwbAHjLvijO8xdxs69bpUqV5Iorrkio4HfnnXfKV199JVOmTAkZ/JRWL/WNtKcNGzZk2X4C0VzmDQCAmE3yPGfOHPnpp59k27ZtcurUqTS3xbPpV4uYGvw+//xzs392YEooOl2NnoBkwjJvAIAsC386pYtO7VKrVi0pXbq0ZMuWzX+b8+d4NfW+//778uWXX5q5/rZs2WKu1zJpvnz54rpvQLRX+Thr5EhT8SvesqW5jOihPyWAVBZxnz8NfP/+97+lZ8+ekmiChU+d8iXc/WVtX8Db6E8JIBHFdW3f7NmzS5s2bSQRZXLsCgAE7E9JZRVAKol4wMc999wjr776amz2BgASoD+lDX56rs3qAODpZl8d4KFz+y1fvtxM8pwrV640t48bNy7a+5ilaPYFoE2/9KcEkEji2uyro2l1CpUOHTpI8eLF4z7IA4C3BzbE4jXodpL1/QCAqFf+dBTthx9+aKp/qYjKH7wiFQY2pMJrAICEn+RZ18nV1TwABKd/U+mygYk8CCkVJopOhdcAAFkt4vCny6ENHjxYDh06FJs9ApKcBr7Vq1fLihUrzHmiBsBUGNiQCq8BABK+2bdJkyayatUqc0CrUqXKaQM+5s+fL8mMZl9kllb8NPhZNWvWTNhVZFJhYEMqvAYASOgBH5dffnmmnhBIdblz5zYryhw+fNic6+VElQoDG1LhNQBAQlf+Uh2VP0SD/rc6duyYCX6MiAcAJHXlD0D6NPAlalMvAMDbIh7wgeSWDKNQMyqVXxsAANFC5c+Do1BtX7Rq1aqlTJNkKr82AACiicpfinNWw7QPmoYjped6ORbPEw/hvrZ47me836NUxHsKAFlc+ZsxY4Y0b96cvk1JUg2rWrWqfxSq9kdzT9OTmefR6X+OHDkiefPmNZOAa9UtGoMewt1GOCNs41kdpDLJewoAKVH5u/DCC2Xjxo3R2xvEtBp2/PhxEwA1+GkFas2aNVGpQum2NPgpPbfVrcxOdBxsG4GqPRriNMzpnHrBQl0sK5/pvY4DBw5E9bmpeMXv9wkAng5/NF8lNlsNU7YapgFQg1NmDpjhBI9oHJjd29AAderUqaCh0o6wDVbNc74fWqHUx0bzMxzofbFV0XXr1vn3K7Nz/8VrBZFEC5yBPt8AgPQx4CNF2eZSrfRp4LPNppmdgDhQU7INU7bZV2mTcqTP427i1W3YKqVe1gBlLztDZbhTqtjqoD7+r7/+kpUrV0at+TdYs66zKqr3qVSpkhQsWDBTzxcoWNv3IFbzCyZis7X9fTKfIgBkYfgbOXKklC5dOjObQAyEOlA7A1BG6OOcwUMDlA0fut0NGzaY6zQE6mVn8NSqnVbvNNTp7c7wEChUarO0Pp/eX7djn98GwIyEV31OPdlAFmmAzEggc3KHsoyENXeA1/fHvk/6nsUioIX7+rIa8ykCQBaHv+7du2fm4YiRYAdqGzQ0JGhfzfRCgjuY6GWtmFk5c+b0N+dq+Fi/fr2cOHHCXNZwpbfZSqAGv8WLF/sf6xwYEmifDx486L9sg599nDtURiq96mc0Apndpr7vzqqoMzBltJrmrHg5A1+oqmhmK4LJtGQdACA0mn1TUKADtTNohNN0GqgSp4HMVsyUO0TY4Gdp4LO04uek29HrzjjjjIDN0QUKFPBfdqpQoYJkz5493apTqLATqrkwWCALFISdl4NtU8815AZ6LncVNdImbPt7tNsIVhWNRpNtojWxbvnxR9kxa5aUOPts1vUFgAgR/lJQoAN1sJBgp3yxnfmVXueuxOmgBdv3znb41+qbs0nWTZuAdfStPmbbtm2n3a59+JxhxL3PtnlaK4o2GIUTjjR02v11bl+v1wCrwTJYgAwUyPQ1Ordnm6TdYcqG2EABMFC4dlZRtSqYXjUtUKB1h2Z3H08NSVtnzJAjFSpIgZYtM9Vk63wd8Vy7WF/T3FtvlWw5csiaMWPkrJEjCYD/w5rSAMJB+EtR7sChAcYGNz139qnTqpAGI9uEq0FEb3cGPRsMIxnpqSFE+/+VKVMmTcXQScOIbtv2AbTN03qdBgs7Qlnp/ul+6mV7rrfbpmV3ULPbt9cvWbLE//rr1KljAqDzYKncgUybtnVUrd0Hd5O0u1ndXS21++h8D224dr4n5cuXDxmmnNvW/dIKqB3Z7A7NNoDumjZNfu3b14Qk38mTUuqhh6TEueemCZmhwkKw2yKtJEY7kGjFz74mPd85e7YJf14PPok4KAdAYiL8eYSGEOc8eYcOHfKHEXcw08sacAIFPXswCbf6pwdjrdyForfrgUoPWvnz55e1a9f6D2AlSpRIs99Lly49bb+c/RmdTdr2Ng0D2sTs3M7+/fvNbRr29PXqz6VKlUrzXpw8edIcTJ2vTV+rBk/bj8/ZvBqsWmrDqd22PpeGPfu+6WXtg2m3F+ig7dy23k9DtT6uRo0ap1XkbADY+/33aUJSvo0b02w7VFgIdVs4gz+c/UsjHYSSXojTpl6t+NnXVrxly3SDT7BtplLzcaIOygGQIuHv3XfflREjRpgv9ZkzZ0rlypXlhRdeMJWOyy67LPp7iUyzFTIbQLZu3eq/7A5MavPmzWnubwUKhMWKFTPbi3R/bKVRzzXUuekBzP18gZ7fue/OJm19DhsCNFS6m6Td23Bf5w60NqzZ+1WsWDHNtC1aJbT30ecOFq5ttdXZV1KDpn3NzsDofL/cvw87jYyd684dAHLWqSO+zz8X0QrnyZNSslWrNMEnUFiwvxd9n4Pdpq/T2bfQjjZ2VjidodpZhbVdB4IFO2eTvbvCaWlI06Zerfhp8NPLofpPBusGEGnzcVauWJMRsRjIlEq8/vqBTIW/119/XQYNGiR33323PPnkk/6DVpEiRUwAJPwlJv2y0wOpVoyUHght1UgP3s6mTaU/B6vmuUUa/Oz+OANgIHrwz8i2nSOR9aCvrzPc1xJoP21TccmSJWXTpk3+2zQE6mvQ7StnVVL/X9gg6K78udn/Q5YGJ+dIaHvQ0mqhvh4nu317UHPOjVjsnHP+ft4//pC89ev7L1vO++rP2gyunw8bvOzvxwY8W1mz74k+tmzZsuZ65xyP7oBqt+OstAaqzmlIc34ObYXTPTJcaUizTb12/wMFHzvJdqABToGaj0t37JimeV5ltIKZ1c2yGRnI5BVef/1ApsPfyy+/LG+88YZcfvnl8vTTT/uv1zV+77vvvkg3hyykBzPnAdJZUdH5Gp393WJND7D6BazPGSwAFi5cOEPhz1kJ1G1rgMhMpcaeBxq0ottftmyZFC9ePE1VUgOdDYB6mwp3KUQNPdosrVVF5ezr5w7MWtF03m5fv96vXLlycuzss81ADxvy7WuxlU77Xmng0tfh3Afl346jSujsB+qsYAYKt/p4O+rb9tMMVOG0IS1QSHe+H86R1jaQ2uAZaAogvV+gbgCBmo+LtWjhX6Pa3tfOCRlohHygwT2hKk2BqpPpbSNa8x5Gq0k4WatnNIkDmQx/+tdvkyZNTrtev0i0nxgSV7DKgH6hb9++Pcv3xzkvYCAZrfq5RWvN12D7qiEvUDBUGkYysv61vjf6O9JqrbOvn3at0NtstVCDrXNuRedr1v+rgQ7azkpYemz1VCupWhl0Tt/jFqibgPO9dwc7DZ+2+uwOaYHeD/2O0ffD9o909jW180rawTT286377aw82gqivh9F27WT5iNGyK45c0zzsV7euWJF0O4Edjt2IJCzSuoMnvb+zlHq+rzuwUTOamqsBs44g3Jm52lMxupZNF8/4OnwpwefhQsXmn5+ThMmTJC6detGc98QA4EqA+kdeGMlVPDD378XZ2VNOQNdpO+hTq2j98/I2rzhPI8OzomkeqyfuV27dknRokUlR44cYd3f2eztDpMaiG0g04O7btf5B0SVKlX8lTzb/JyrUiWp2qZNmjWfbYDVgKcnW/mz9P3T5mln6LYr3QRr+tbKpfM6DbHhTMZu+18qG3r1Plqpt3NkOkeru+eidI8+d/8hFG6g1PvpoKlYDChxTzMVrUAZavR9oodWIOHC3/333y/9+vUzX0L6n2vOnDnywQcfyLBhw+TNN9+MzV4iqtxfts5pYJC6MtrvMVyhgl+wz5cOLNKTVhUzyxmMNZi4K8farO2uXup7ogFB90+bt3VaIq1IapDUcGcDnrsK6GZDVah+nRokdXv6/01/dgd53be9e/ea9yNU2LZVReUctGWDre0j6Q6XtqnfhlSt3Nlmc9t3NdDvwTbJ6/3s71Efr+e2P2xGObdtX4+7f2dGuV+/HVkPIAPhr1evXuaL6YEHHjDThegSb9oR/cUXX5Rrr72W9zTBw55+ydsvfPtlq78/gh9i/RkMJVRzcjQFex7dv4w0z4fLOVBIQ0ig0e3OPpfhsv+PnYFUr9u3b58JmE7OqqneZ+fOnf7H276xOoLdOSDLzqlp76fvk1Zp9Vzvb5t/7Tbc3UlCrYpjH+MMzPqzu4+m8/UFqgwGq16m0pKEydrXEokrmy8TR/0dO3aYLwadHy1V6JemDjTQv8ALFSokyc79l3WgOflCzdMHwNs07LlHpDtpYNQ+r3aaJTs9j3Mwjv6BaZutndU9PX7YJnNlWyHsZWczuNLwU6lSJX8ITG85Rtt0brelsiJERTOsJWNfy2gg8MY2n2Rqkmft44PE/g/j/ss6UMgj+AEIJlTwU875MW2/TGdg1O8fd9XRNsfqY20/PP3ucn8XuZvYbYXShiB3066tHGqTv3uaJWeQtHNIajjUFiy75GOo79JwpbfST7h9LG14DbaiUCqHq1ChPhb9Q70orPCno3vDfZPnz58v8fbaa6/JM888Y/rO1KtXz8w/2K5dO0l1gf7DBJocGADiGRjdA5kiHZGv33E6AEVDm23atSPZndwDb5zX2zlPLa1G2mUm3ZONa+XSNoXrdTY02fuHCmuBVvoJVcFzPre7r6wdwW4HNQVqTg8n1GV0RZysEmwCenf/0ECTwCOK4U/n9EsWH330kZmAWgNgmzZtZOTIkXLhhRfK4sWLTXNBKgs2elC/1PQ/jB3tadkO6ACQbPT7TL/f7DQ76S0jmR4NFjbo6bac0wi5Q6WlYU+/X3VJSueAmEDrojuDqB2A45yayN7H+dyBVjjS0GZXq7FrtOv2dFs6ol0v2yCqg3i0CquBUsOyXmcnhXcPBnLOxelsxtfXZ6ui7rXQs3K1mkD9Q51V4HgHQF8CV1Kj3ucvEbVs2VKaNm1qViKx6tSpYwKsjkhOhD5/sfqQpPfXnHsFBXd/GgBINvodp4EtKyepjwbn96/+Ia6vI70uOO7+2brCjrZwBaPb1ECo4dQe6u3a4hoS7XWhWofsGuLKPaG8s4qpQk07FE41MtRj9PilRZxAatasGdeR3L4s6peZMH3+Eo1+UObNmycPPvhgmuvPO+88+eWXXwI+Rv+6cTYH6JubrB+SUMs7Kf3rTedndC7xpp213WvaAkCy0O/URAt+4Qyicx53wm2B0W06q4qhgp/S+7mnFHKvzKNCdQuyzdzKOeG8ZSuHdu5M54o27upkoEE5Niza46Kz2ugMdO7307n8ZKCR3KECpy9I38GMFmaScQWZnBnpy/H888/Lxx9/7J/B3kknbY0XHX2s+6cToDrp5S1btgR8jFYDhw4detr111xzjX85rGjSv16cK6EE6mgcS3ayVsu5bBUAIPlkdp7W9FbvsROK67FL72ePWfZnrQTqwJlAbPOt+5jn3Jbex3lc1Ov0fm7Ox+jSlvqagx0/nfd1b+vg/25zP1eox6QnM48NVzQHZ0Yc/jQo6WTOAwYMkEcffVQefvhhU1L+4osvZNCgQZIIAqX8YCl+4MCB5rU4K39aDdO+g7Fo9o33sH0Netr0CwBIDZltwXFOvWMnInf2c7TNqsH6/OlxxT2AJtA8jc4JyJ3HIW1Wdq417nxOp3Arc+7jnHNbgY6BNWvWNOfBHpMoff5ss280RFxyeu+99+SNN96Q++67z/RTuO6660wY1OA3a9YsiSedekY7t7qrfNp51V0NtPSXqyHPeYol2zSrH6x4dFLV/9SJXo4GAIRHjyFamcvMJNYavPTxWk3TY6CGNLvkobNZ1S4PqufOn/Xc9gO0xzQ756Mz0OllO2rauX3b1GuPTcGacp3PGYp7+85t2VHalv6s14V6TDjC3bdEEXHlT4NVgwYNzM/6gdOOh+qSSy4xlcB40l9Ws2bNZOLEidK1a1f/9Xr5sssuk0ReXzcrOEeKAQCSn36va7VOq2fLly/39x90Lvnn7t7j7pOoFSut9Ok2bLAL1X/cTW+3FT27bRuenKN27XEv0Pb1pM8fjepZqP23+3o0QJ+/SF5zsos4/Gly106mOm2K/qJ++OEHM7p27ty5CVFR0ibcHj16SPPmzaVVq1YyatQo0zexb9++4nXuofLhzuAPAEhMGlI0cGlfszPPPNO/YooNQBrE9HY76MKOKnZPrG0HdjgDWiTHdOf9nY8LFcLc249mYSTUtrJly5am+heL50+58KcVtUmTJpkpVe666y7T7Dt69GgTsO655x6JNx2ooWtWPvbYYyak1q9fX7799lszytXrgk34rAvab9++nYmgAcDxR7HK6B/G2i1KA5mthml/umj9ka3f2Xa9aBvgNLTouR2Eqd/z9nobwnSwn86PqJx995zNn9HmpUCVTDI9z5/289NpVLQK2KVLF0l2qba2r5v+unVUlnP4f+3atU1zMPP9AbGX0bW0gy2BltWKFClivifdo0MzOuJUQ4e+pkDBKJxtasjS++jj7Rx2trKlt+kMFDr6Um/X994uKae3aSDS7z47yMH93upxzTktiLOJUk+6jJweL+ykyJbtw6bsah3pzayg29aBG3biZ91f9zQt9v3S6VOWLl3qH8yoc9lq0Axn5Q7nlCrO/dHXGqgahsSRUPP8nX322eaE5GCXB3Ky8xIBiczO6xVIvLsulCpVygSAYOxqCzZk6AHYVuD1sh70lR6M9T7a8V7/r+rPGlz03FZl9ACQ3sjOQKFJ/9/roDjngDh34LHvcbDH637ogUdvs2FFz/UPSt1nnfnBLrXm/F1pdyFtXdDXp9vRx2lYsZ3/9f3Q35+9TX/WPuXKTkyv99PuRvb9s4HKNis6l1zTk75PdsSqTgNmA5I2jTqbIWvVqmUu22XVnO+F7Q9mBwK42VWj9EDs7u9m57qzAUvPQwV/fbzun506JVhQ1PdSfw/29+Os/KXXV895u7Mp2NkfD96QofC3ceNGmTFjhvmyc//1179//2jtG2LEvXSOHlySfak3/UtYvzC1w3Oq9l/8Y/MhWbX9iFQvmVfql80f9H7RCEJ6gNCuHM7PhAYHPSBr8NDtL95yWFZsO5zu/kRL0aJFTaVFOcOJPaBFOoVRsEpMenOe2QOwvhf2L3HdBw037sBk982uAWubEvXxdmoMPXDrd6qGQ/3/qMFGX6ezcmMfp9vX53G+BuV+Hfb/s60M2X1Qu3fv9t/fHUQ0zOh1tmnQcoYW+xptWNF9K1iwoLnOGSxsxUvp69MWBhtinaFE72ODsN6ugURfu25T7+cOa8oODHAHaRWoa4vus87DZrfpDDr2st7HPlafyw5+yEx/N/d3ra62YYOreym4QKNS7WOd93GOiHUufxZoX9LbVy8NcEAmw9+YMWPM4An9sBQvXvy0DpyEv8Tn/utQZWX4y+yEpIFoGNGDkP4Vbzs8x+q5ww1hmeEOcPqcY2Ztl+zZRKat2i+9zi552nPr79D2bQ22Fql+6evvOVQ4tOt/6nREtmnJVk/0FGx/GpY/I01o0gqOHmz1oOsOE4GeU4OHfh71/vqHpfsA7pw4VfdJA7+uKqChxAapSJpGg1VW9ACtj3dW15z9t/Q9tIGvWLFi/vtoZUn33TlhrJ3Q1jYd2oOsbsMZPgOtouBc0N557nxfbOVNg++C9XsDfi7tRLj2u1qbI20wcy/TZffLGaB0+3b9WncQcfcRcwYLnV7Lrrdru5vYkJheX2TnKgmhBgY4g2N6q1WkN/Guc8RqtMKQ/a61v2f9PTiDqx2M4awWuh8bqKIYreBGfzzvijj86Xx+etLJkbNyZQpEl/M/vX5ZhlreJ721H930gBhqpZdYLCetlRI9sOhnUkOLftnq89g+LtF67nBCWKTVN60C2aYvy/1lrgd1fc5TPjHnerlBuQLm9dj5tGx1yV7nntpBg6He5gyGdk1O53PrQUarL3qbVmu00mRDX7D9Wbf7hHRp83dVw9J90N+HVsicnx87MtGGIf28aFXPVre0CU1/l3pg0+tsdc02h9ntaIf3QNUo209Lw1uo7gy6LWd/Lkufx851ZqtAdts2CAU62OrjnOHG/hysH5YzhNkg5fzd6XW2smUfq4HXPXWGbmunr5CMmbXS/7m8tV15aVjhDH+oc4Y0ZwAJtA6rCjQVRqggEk7Y0mbhQHQbzkqofc5wBh8EG8QWqMk91PHKOUFvLJo/tfLp/P27q4ShRqUGuw/BDVka/vSvt2uvvZbg57F1Me1kncH6GjmrMOEu8Wc7Z7vXmQzGeaDSL9EyZcr4O0TbvjW2kmG/bKP9RR4ohGn4s32X7EHb2bzj3H/bD8h5nR1l5wxsziqs3n5uk5oybdV8/3NrdUd/J/Yg6ax02YOpM+RpVS3QQdJZEXJyr9fpVqvMGSZk2P1p16iaed32OfTcOWWEDRPv/rxSFqzZJmfVKCnXtvo7/GgfNA3vtk+WfYx9vLO65gwJNjw6+6jZQGT7gAWjFTPbYVpfq/MzaH9Ptgrk7AtmtxtJx3j3up+2yc82LdrfuXMeTr1N/0/p79X5WL3srvjo4+av3p7mc7ntaK6QVSx3cAgULNyvMVQQCcTdkqCXbcB30+3ZUGsHS4RTzbK/J/3M2bBvB0Ro5dVWsUNtK9arLiXjuq9IfRGHv969e8snn3wiDz74YGz2CAkx95+TflHpl6j90nIedC07rUC4tAplO3SHGgWnX8LamV6rCPolbp8z1GOcX7bpjbKLdAoGDV3O0FOzVD7/dvQg5GzGsQdfW5XS62wzmHNfNczYqk8gun+ta5eRwVc3k58XrZbKRXOaqp8e7NzNdvbAZTu92yBm7+ds0nMGtEB9i+x2A7mkdV3ze1m8aa80qlxCWtX6ewUdZ+Cw778NHx/8sk4+nfV38++qrfvM/QrnOOJvqqxU6e8+WWrmsq2yaN1OaVS5uH/bdv/tvtrKnXukpA1W7mqj/R3o9Rr87AHeHUic02NEg7Pvlj63DdS2kmf/UHH+n7Ih0/l6bQXPGcJscCmR64g/+Ol53fJ/N0vHM2S4+7uFquRFOqmw+7G6fa34Ox8f7mjIWIezSN4HIGHD37Bhw8xqHt99951Z6cN+qVrPPfdcNPcPMeY+SNomRD0g2Znh3dMK2IBh76M/65yK4fan08+Mhjm9/y/Ltsj8VYelbP6TUqtEroCdyzUQ6H64/zoPFmTcX7a6//qFrsHLGVjtl3B6wU+Dqu6vPrZaNe3T9oc/sNQtk++0g7XdT2cwc3fudr9X7iqV8z2w225dq4ycXbOU/LhgtXyxaNP/+nZJ0H5SwSo/+vu1v2t3/yFnk16wqTxsde2c+hXMyX0f23nevg8rdp6QrUdyyczlfw/WsH5ZsUO27Dnsb6qsVLGitK5d0AS/IR//KtmzZZPPZ6+RIVc39wdA3b6t6mg/PFuRs9W0QKHB2Xk/0PsR6ODs3H93kI40GDiDjW73i59/839+NEDb4BGoUpleKLLBRavP2gVBt1u3fCFpV6+8xFukgS6zYTWjj491OMtMsAUSJvw99dRT8v3335uO9crdQRXJxdkkpwIFh/3796eZVsDOk6UHQm1OdHbqDmcOM9unbOvx/DL0k/9vyrT952zlxe6Tbl+rOoH+Og8UcAINaFG6Db3ONl2HM72NvkatUNpqmr7Gy9o28M8T5m6ydlYRnFUz5/vnDJPuQKrczca28qqP/fLn32TEtI3+wHTz2aWkaZUiae4X7GAYqHkrUF8nZ3hz0vtrs2w4BzD7Pjj7SOrv2KlQ/tyyba9WrHwm6H2/6C/5bf1u2bz7oLlsr/9t3U5/+NP9stNTOEOZ+6DtHAig+2I/U4HCQaCDsz7e+Xu04TGjB+9Zy7eZSmaenNnlQ0efUQ28pR1VQft87mbzYKHGGVyaVy0ml7f7uytAonwXR6P6GKwKnEzhLN5VWCDT4U8re2+99Zb07Nkz0ocigbkPbM4vK3d114Y72xne+Vezzjzv7Gtmg47tL+gc0fjrmn1p+imt3nHU33/O2RdQH6OjRW2zWKCFxgO9HhtidH9sEHBXcbS6FSwE2j51NlgpZ3hyrxpjBzI4m/js++SsmjnDpIYK58hLrQTp7bod54AADTz6nizemPY9W7n9sHRpW980Jdr7BeuzFKjvmbMjuu1jZt9n96S16fWdcrKfi1Xbdzn2N5vUKFtITp3ySfPqpaR2+SL+Cp8GPQ1I9mdlf25YuXjA1xAslLn7sQZaucAZem3FUF+jDRoNKxfzhzLnwIqMcFYy9fXoVuz78fv63dKqcx2zL/PW7pbf1u6UuuWLSLvq5cPu85aR4BIsUEUjaEUrrOl2vlu43v+5cFeBo/W85nkWrBf9xVzQuFLUtx+JrHgOIEPhT78E27Rpw7uXIpzhSA+SgTpa24qSDQYaTJxTQ7irbM5wZYOOnSbDuc1GVQrJNws3+cNBtRL/34/JVpjsY5yLlWtIcfcnC7dPozsw2NcfqB+jjia1TZ/6WjQMOsOTTnbrpE2R2s/I/X6EGiFpR17awRVaCbRVOb2/DWD2ebVJz9nnUC87B5GE6rPkDurO7eq5c+Spc1RpJB3w3aGk3eE8Mm3VIn/w6d62ZpqDmh7MtbK3addBmbNyu7/a16JmKSlXNL8Jfs77u19DoFDm/p3r7815n2Ad/N3NzdrHsmmN8gHDYiDB7qMHc3/wy6b3Sxts9b7z1+6RoR/P+/u55/hkSK5cYR/8I60qBWtWD9XcntltRxp67HasQFXgaD2v83k0aF7bpob0+kct/z7lyZnDDKhZvnmvCe52+yqc0BiuaLz/QMzCn67n+/LLL8tLL70U6UMRJeEciMLlbB7Tc+eIWftcWk2yzWY2BLif39kBPRDnQdv2K6yeJ4/cunOXLNm0T2qXKyiNKhRMEyq1mdY9X52dD81WrHRftSJmD4Du98Pdp9E2pzkrnM55t5wT0zr7vNnHO4OHe9Z/WyENNpIy1HQOerLP4ZzfzR10Lj+nkRQvXkIWb9xrOvXbvl3h9FkK1Bzu/J04A2SgUaWR0sdon0B9X/Sg7Q5ySi/bg/2sFf9f+bugccWAB75wKl2B3rdwOvg7Q5oNGqVzHjxtIEygymqoEaMaaPRgbret4eLYiZNp3o9Az52RA3843w3Bnisa+xBoG2efWeq0biXphR7ndtTf1dK0VeBwXlM4+6vbdn5rfThjpf/chnVLf9T7f7dwg8xy9GHV0JjZsBatzwAQk/A3Z84cmTx5sowfP17q1at3WpPguHHjIt0kIhDraQnSGzkbqu+Uvb8zTDoHINjJTrXCpSFL9//ycxrKxf+riNnH2wOXs4nWefDVc2fTnw2ItnLp3k6gPo1OzrCmgdM535hl+8SFqnJmZl3MQJ3Odb+2niggC9YflCbVC0j1/+13oIEW4QY1dzANttSTe1RpZtiAl959bBUwUEgM9RoC3R7q/QjWwd8d0uqWKyyHD+9J80dNsMpqqBGj4by2/3/u0CEnGt8N7tdpnyvY9ZFwb6NB5WKndbtwV5EDhR73dlqeWTroHwSZ2Xf7OCfds19Xpe2C4PS/3runhcbMhrVovP9AuLL5Ipz1tlevXumuAJLMorlwcixoiHEuY6XTG2TmAJ1es6+d48w2B6YXNtM7AEW6/7aS4ZwN372ck5NW8dwTqkYSjvX5NPy55+ILNklsNKuw7m25+4rFuhkomq8l0QV7rfqe25CmFSv7Wc5M5S/c/fli2iLTp1Ob8rXCG+nvIJL/W87X6e7zF04AD8W5DR2M5F52z71fwT7nke5LRvddH/fB9BWybNPfzbp6QNTqbKDKn/zvNttf1Ska/z+j8f4jde2LYj6JOPylukQPf7Go/GnAcy5FFei5bJNvOKu6hAoRmd1/9wHO2U/P9stzVu4yEo51H23V0jYbu/uMZUVIGvHDYvlyzlp/ReTyFlXk1vPqxuz5kP4fHxnp85dVf9RldatAuPuUXuUvUUKPex/s5dw5c8ja7ftMTdBZffx7QIrOHOCLSp8/IOHDn3a+/+mnn8x/6u7du5t52LRzvO6Mnbg3WSV6+ItFtSnQAUOvP3DgQJo1WSM9IAXbz8zsv3t/7Rx+KtCI3GgfALPyAJvVlT/ET7Q+V4lYvXUuoZdI09AAXs4nEff50zBwwQUXmFGJ+h+6c+fOJvwNHz7c/HU3YsSITO0QsnbOqEB9lew6s+kt4p7Rg1lm9j9Qfy53X7tYztmVlUs1RdIPDsktWnPNJeJ8coH+jwKIr/Tb8AKM9m3evLns3r07zWjHrl27yqRJk6K9f4gx2/ld2YDnDDh2UuJIKxGBQpK7EpDRHgfBRvaGe3u0369Y0sCnTb0Ev9QXy88tAGSq8jd9+nSZMWPGaQc9DQja0R7JX3Fwj4a0c/VFItiIykTsl5RoqwEAAJBQ4U8HBwRaC1Wn77CLsiO5uJuKohFwgm0jK5tNYyURm9YAAIhZs6/28XvhhRfSHAh1YMDgwYPloosuinRzSOEmqEDbyOpmUwAAkMnRvjqqt0OHDpIjRw4zNYH2/9PzEiVKyLRp08zapMksGUb7JrtEHJEIAEAii+to33LlysnChQvlww8/lHnz5plm4N69e8v1119/2nJXgBvBDwCAJKj8NW3a1IzkLVq0qDz22GNy3333Sf78+SUVUfmLnWQf7AEAQCrkk7D6/C1ZssSsAKGGDh1q+vgBkQo1/QsAAMgaYTX7Nm7c2Kzp27ZtW1O9+c9//hN0JY9BgwZFex+RIoJN/5LsaMoGAKRcs++yZcvMaF5dzm3+/PlSt25dyZnz9NyoTXh6ezKj2Te2Ui0o0ZQNAEj5tX2zZ88uW7ZsSfpRvcEQ/hAJXalER7tndP1jAAASfrSvju4FkNpN2QCA1BXWgI+ZM2eGvUEdGPLnn39mZp+ApGFXMtGKH6OXAQApE/5uvPFGs7LHxx9/HHSk7+LFi+Whhx6SGjVqJH2/PyCrV0MBACCrhNXsq8Fu5MiRZiSvTuZ85plnmsme8+bNK7t375alS5eait8VV1whEydOlPr168d+zwEAABD7AR9a1fv5559l7dq1pp+TLuvWpEkTs+RbsWLFJF50fx5//HGZPHmyGZCi4fSGG26Qhx9+OKJ+WAz4AAAAiSauAz50tQ89JRqtPupgFK1QatPzH3/8IX369DEVSZ2XEAAAABmo/CWTZ555Rl5//XWzpFi4qPwBAADx+vJuyUrfoHg2RQMAACSaiJt9k4WuRvLyyy/Ls88+m+4kvXpyJmsAAIBUlfCVvyFDhpgpNEKdfv311zSP2bRpk1xwwQVy1VVXyS233BJy+8OGDTNlVHuqWLFijF8RAABAkvb5O3LkiJnuJZZ27NhhTqFUqVLFvx8a/HTkccuWLeXtt982y9FFWvnTABiNNnUAAICUWN7tySeflBEjRsjWrVtl+fLlZmWDRx991ISw3r17SzTpVDJ6CsfGjRtN8GvWrJmMGTMm3eCndHJe1mIFAABeEXGz7xNPPGEqasOHD08zf16DBg3kzTfflHjRit+5555rqnY6tcv27dvNfH96AgAAQAYrf2PHjpVRo0ZJx44dpW/fvv7rGzZsaObai5cffvhBVq5caU4VKlRIc1sKz2YDAAAQ28qfNq3qJMqBmoOPHz8u8dKzZ08T8gKdAAAAkMHwV69ePbO8m9snn3xilnkDAABACjX7Dh48WHr06GEqgFrtGzdunCxbtsw0B48fPz42ewkAAID4VP4uvfRS+eijj+Tbb781c+wNGjRIlixZIl9//bV07tw5OnsFAACAmEjptX0zgrV9AQBAomFtXwAAAGRNn7+iRYua5l43vU5X2dCRwDrytlevXhnbIwAAACRO+NM+frrCx4UXXigtWrQwU6nMnTtXvvvuO+nXr5+sWbNGbrvtNjlx4oT06dMnNnsNAACArAl/06dPN6t8OCd4ViNHjjQTLX/22WdmwueXXnqJ8AcAAJDso32///576dSp02nX64ofepu66KKLZPXq1dHZQwAAAMQv/BUrVsxM6+Km1+lt6uDBg1KwYMHo7CEAAADi1+z76KOPmj59U6ZMMX3+dKDHnDlzzLx/I0aMMPeZOHGitG/fPnp7CQAAgPjN8zdjxgx55ZVXzMoe+vDatWvLnXfeKa1bt5Zkxzx/AAAglfMJkzzH8M0FAABItHwScbOv0jV9V65cKdu2bTM/O51zzjmZ2iEAAADETsThb9asWdK9e3dZt26dafJ10v5/J0+ejOb+AQAAIJ7hT+f3a968uXzzzTdStmzZgKt9AAAAIEXC34oVK+TTTz81y7gBAAAgxef5a9mypenvBwAAAA9U/nRKl3vvvVe2bNkiDRo0kFy5cqW5XZd2AwAAQGKKeKqX7NlPLxZqvz/dTCoM+GCqFwAAkGjiOtXLmjVrMvWEAAAAiJ+Iw1/lypVjsycAAACIuQxN8qwWL14s69evl2PHjqW5vkuXLtHYLwAAACRC+Fu9erV07dpVfv/9d39fP2Xn+0v2Pn8AAACpLOKpXu666y6pWrWqbN26VfLnzy9//vmnTJs2zUz8/NNPP8VmLwEAABCfyt/MmTNl8uTJUrJkSTPyV09t27aVYcOGSf/+/WXBggXR2TMAAADEv/KnzbpnnHGG+blEiRKyadMm/0CQZcuWRX8PAQAAEL/KX/369eW3336TatWqmdU+hg8fLrlz55ZRo0aZ6wAAAJBC4e+RRx6RgwcPmp+feOIJueSSS6Rdu3ZSvHhx+eijj2KxjwAAAIjXCh+B7Nq1S4oWLeof8ZvMWOEDAAAkmriu8BFIsWLForEZAAAAxFjE4U+bfJ9++mmZNGmSbNu2TU6dOnXaPIAAAABIkfB3yy23yNSpU6VHjx5StmzZhGzqPXr0qBmMsmjRIjP1TOPGjeO9SwAAAMkZ/iZMmCDffPONtGnTRhLVAw88IOXKlTPhDwAAAJmY508HdiRyHz8Npz/88IP85z//ifeuAAAAJH/4e/zxx2XQoEFy6NAhSTS65FyfPn3k3XffNUvPhdtErCNonCcAAABPN/s2adIkTd++lStXSunSpaVKlSqSK1euNPedP3++xIPOWNOzZ0/p27evWWd47dq1YT1Ol6UbOnRozPcPAAAgacLf5ZdfLvEyZMiQdMPZ3Llz5ZdffjFVu4EDB0a0fb3/gAED/Jd1GxUrVszw/gIAAKT8JM+xtGPHDnMKRSuQ1157rXz99ddpKpS6DnGOHDnk+uuvl3feeSes52OSZwAAkGiimU8iDn9aZdO5/XQqFafZs2eboKVNrvGwfv36NP31Nm3aJOeff758+umnZl8rVKgQ1nYIfwAAINFEM59EPOCjX79+smHDhtOu37hxo7ktXipVqiT169f3n84880xzffXq1cMOfgAAAKku4vC3ePFiadq0acBBIXobAAAAUmiS5zx58pgpVapVq5bm+s2bN0vOnFFZKjgqtB9ggndnBAAASPzKX+fOnc0IWW1ztvbs2SMPPfSQuQ0AAACJK+JS3bPPPivnnHOOVK5c2TT1qoULF5p5/3RyZQAAAKRQ+Ctfvrz89ttv8t5775m1c/Plyye9evWS66677rQJnwEAAJBYMtRJr0CBAvLPf/4z+nsDAACAxOrz56TzzKxevTp6ewMAAIDEDX+MpgUAAPBQ+AMAAICHwt8NN9yQ6SVGAAAAkHUyNSvz66+/Hr09AQAAQGKEv5deeinsDfbv3z8z+wMAAIAYyuYLY9RG1apV01zevn27HDp0SIoUKeJf4SN//vxSqlSppB/9u2/fPilcuLBZwYQmbQAAkGr5JKw+f2vWrPGfnnzySWncuLEsWbJEdu3aZU76c9OmTeXxxx/P1M4AAAAgASp/TtWrV5dPP/3Uv7SbNW/ePOnWrZsJiMmMyh8AABCvV/6cNm/eLMePHz/t+pMnT8rWrVsztTMAAACIrYjDX8eOHaVPnz7y66+/+id51p9vvfVW6dSpUyz2EQAAAPEKf2+99ZaUL19eWrRoIXnz5pU8efJIy5YtpWzZsvLmm29Ga78AAACQCPP8lSxZUr799ltZvny5LF261FT/6tSpI2eeeWYs9g8AAACJMMmzhj0CHwAAQAqGvwEDBoS9weeeey4z+wMAAIB4h78FCxaEtbFs2bJldn8AAAAQ7/A3ZcqUWO4DAAAAEnW0r9Nff/0lGzdujN7eAAAAILHC36lTp+Sxxx4zs0xXrlxZKlWqZNb41aXd9DYAAACk0Gjfhx9+WEaPHi1PP/20tGnTxkz1MmPGDBkyZIgcOXLErP0LAACAFFnbt1y5cjJixAjp0qVLmuu//PJLuf3225O+GZi1fQEAQKKJ69q+u3btktq1a592vV6ntwEAACBxRRz+GjVqJK+88spp1+t1ehsAAABSqM/f8OHD5eKLL5Yff/xRWrVqZeb2++WXX2TDhg1m2TcAAACkUOWvffv2Zl3frl27yp49e0xT7xVXXCHLli2Tdu3axWYvAQAAkHWVPw13b7/9tulgOHbsWLnmmmsY1QsAAJCqlb/x48fLwYMHzc+9evUyI00AAACQopU/Hck7cOBA6dChg5nX7+OPPw46zPjGG2+UePrmm2/MJNS//fabFChQQM455xwZN25cXPcJAAAgqeb50wEdAwYMkFWrVpk+fgULFjQDPU7bWLZscZ3u5bPPPpM+ffrIU089Jf/4xz9MUP3999+lW7duYW+Def4AAECiiWY+iXiS5+zZs8uWLVukVKlSkkhOnDghVapUkaFDh0rv3r0zvB3CHwAASDRxneR5zZo1UrJkSUk08+fPN6uLaDht0qSJlC1bVi688EL5888/471rAAAACSPi8Fe5cuWATb7xtnr1anOuaww/8sgjZpBK0aJFzdQ0oZqijx49atK08wQAAJCqIg5/WU3DnIbNUKdff/1VTp06Ze7/8MMPy5VXXinNmjWTMWPGmNs/+eSToNsfNmyYKaPaU8WKFbPw1QEAACT4Ch9Z7Y477pBrr7025H20r9/+/fvNz3Xr1vVfnydPHqlWrZqsX78+6GN1FLMOZrG08kcABAAAqSrhw1+JEiXMKT1a6dOwpyuNtG3b1lx3/PhxWbt2rWmqDkYfoycAAAAvSPjwFy4d+dK3b18ZPHiwqdxp4HvmmWfMbVdddVW8dw8AACD5wt+iRYvk66+/lmLFisnVV1+dpiKnzaV33323vPXWWxIvGvZy5swpPXr0kMOHD0vLli1l8uTJZuAHAAAAIpjn74cffpBLL71UatasafrXHTp0yKz0oat+qK1bt0q5cuXk5MmTSf2+Ms8fAABINHGZ509H3d53333yxx9/mH50DzzwgHTp0kW+++67TO0AAAAAErDZVydLfvfdd83POn3K/fffLxUqVDBLp33wwQfSokWLWO4nAAAAsjL86YjYPXv2pLnuuuuuMytq6FQszz77bDT2BwAAAIkQ/ho3bixTpkwxU6o4XXPNNWaC5ZtuuikW+wcAAIB4hL/bbrtNpk2bFvA2rQCqUaNGRW/PAAAAEL/Rvl7BaF8AAJBo4jLaFwAAAB5c4UMnTNbRvm56Xd68eaVGjRrSs2dP6dWrV7T2EQAAAPEKf4MGDZInn3xSLrzwQjO9i7Yaz50718z3169fP1mzZo3pH3jixAnp06dPtPYTAAAA8Qh/06dPlyeeeMKso+s0cuRIswrIZ599Jg0bNpSXXnqJ8AcAAJBgIu7z9/3330unTp1Ou75jx47mNnXRRRfJ6tWro7OHAAAAiF/4K1asmHz99denXa/X6W3q4MGDUrBgwejsIQAAAOLX7Pvoo4+aPn064bP2+dOBHnPmzJFvv/1WRowYYe4zceJEad++ffT2EgAAAPGb52/GjBnyyiuvyLJly8yAj9q1a8udd94prVu3lmTHPH8AACCV8wmTPMfwzQUAAEi0fBJxs686efKkfPHFF7JkyRLT7Fu3bl3p0qWL5MiRI1M7AwAAgNiKOPytXLnSjObduHGj1KpVyzT7Ll++XCpWrCjffPONVK9ePTZ7CgAAgKwf7du/f38T8DZs2CDz58+XBQsWyPr166Vq1armNgAAAKRQ5W/q1Kkya9Ys/7Quqnjx4vL0009LmzZtor1/AAAAiGflL0+ePLJ///7Trj9w4IDkzp07WvsFAACARAh/l1xyifzzn/+U2bNnm/5+etJKoC73poM+AAAAkELhT9fs1T5/rVq1krx585qTNvfWqFFDXnzxxdjsJQAAAOLT569IkSLy5ZdfyooVK2Tp0qWm8qdTvWj4AwAAQGLL0Dx/qmbNmuYEAACAFAt/AwYMCHuDzz33XGb2BwAAAPEOfzqXXzh0tQ8AAAAkefibMmVK7PcEAAAAiTfaFwAAAMmL8AcAAOAhhD8AAAAPIfwBAAB4COEPAADAQ1Iq/C1fvlwuu+wyKVGihBQqVMgsO8dIZQAAgBQNfxdffLGcOHFCJk+eLPPmzZPGjRvLJZdcIlu2bIn3rgEAACSElAl/O3bskJUrV8qDDz4oDRs2NEvPPf3003Lo0CH5888/4717AAAACSFlwl/x4sWlTp06MnbsWDl48KCpAI4cOVJKly4tzZo1C/q4o0ePyr59+9KcAAAAPL3CRzLQpeUmTpxo+vwVLFhQsmfPboLfd999J0WKFAn6uGHDhsnQoUOzdF8BAADiJeErf0OGDDHBLtTp119/FZ/PJ7fffruUKlVKfv75Z5kzZ44Jgtrnb/PmzUG3P3DgQNm7d6//tGHDhix9fQAAAFkpm09TU4L35dNTKFWqVJEZM2bIeeedJ7t37zYjfS3t+9e7d2/TFzAc2uxbuHBhEwSd2wEAAIiXaOaThG/21Wlb9JQeHdihtLnXSS+fOnUqZvsHAACQTBK+2TdcrVq1kqJFi8pNN90kixYtMnP+3X///bJmzRozBQwAAABSKPxpdVAHdxw4cED+8Y9/SPPmzWX69Ony5ZdfSqNGjeK9ewAAAAkh4fv8ZTX6/AEAgFTOJylT+QMAAED6CH8AAAAeQvgDAADwEMIfAACAhxD+AAAAPITwBwAA4CGEPwAAAA8h/AEAAHgI4Q8AAMBDCH8AAAAeQvgDAADwEMIfAACAhxD+AAAAPITwBwAA4CGEPwAAAA8h/AEAAHgI4Q8AAMBDCH8AAAAeQvgDAADwEMIfAACAhxD+AAAAPITwBwAA4CGEPwAAAA8h/AEAAHgI4Q8AAMBDCH8AAAAeQvgDAADwEMIfAACAhxD+AAAAPCRnvHcAQGqYuWyrLFq3UxpVLi6tapWO9+4AAIKg8gcgKsFvyMe/ypdz1ppzvQwASExJE/6efPJJad26teTPn1+KFCkS8D7r16+XSy+9VAoUKCAlSpSQ/v37y7Fjx7J8XwGv0Ypf9mzZ5JTPZ85/W7cz3rsEAEj28Kch7qqrrpLbbrst4O0nT56Uiy++WA4ePCjTp0+XDz/8UD777DO59957s3xfAa/Rpl4b/PS8YeXi8d4lAEAQ2Xw+n0+SyNtvvy1333237NmzJ831EyZMkEsuuUQ2bNgg5cqVM9dpAOzZs6ds27ZNChUqFNb29+3bJ4ULF5a9e/eG/RgAfzf9asVPgx99/gAguqKZT1JmwMfMmTOlfv36/uCnzj//fDl69KjMmzdPOnToENf9A1KdBj5CHwAkvpQJf1u2bJHSpdOOMCxatKjkzp3b3BaMhkM9OZM1AABAqoprn78hQ4ZItmzZQp5+/fXXsLen93fTVu1A11vDhg0zZVR7qlixYoZfDwAAQKKLa+XvjjvukGuvvTbkfapUqRLWtsqUKSOzZ89Oc93u3bvl+PHjp1UEnQYOHCgDBgxIU/kjAAIAgFQV1/Cn07HoKRpatWplpoPZvHmzlC1b1lz3ww8/SJ48eaRZs2ZBH6e36wkAAMALkqbPn87ht2vXLnOu07osXLjQXF+jRg0544wz5LzzzpO6detKjx495JlnnjH3ve+++6RPnz6M2gUAAEi28Ddo0CB55513/JebNGlizqdMmSLnnnuu5MiRQ7755hu5/fbbpU2bNpIvXz7p3r27/Oc//4njXgMAACSWpJvnL9aY5w8AAKRyPkmaFT4AAACQeYQ/AAAADyH8AQAAeAjhDwAAwEOSZrRvVrHjX1jmDQAAJAqbS6IxTpfw57J//35zziofAAAg0ezcudOM+s0MpnpxOXXqlGzatEkKFiwYck1gJ7sk3IYNG5hQmveDzwb/T/jeiBDfobwXfDbSp1O8VKpUySxdW6RIEckMKn8u2bNnlwoVKmTozdR5dzI7904q4f3gveBzwf8TvjP4/uR4Ev2ckultRGVPAAAAkBQIfwAAAB5C+IuCPHnyyODBg805eD/4bPD/hO8NvkM5nkQHx9fYvBcM+AAAAPAQKn8AAAAeQvgDAADwEMIfAACAhxD+omjt2rXSu3dvqVq1quTLl0+qV69uOmceO3Ysmk+T0F577TXz+vPmzSvNmjWTn3/+Wbxm2LBhctZZZ5mJwkuVKiWXX365LFu2LN67lVDvj06gfvfdd4sXbdy4UW644QYpXry45M+fXxo3bizz5s0TLzpx4oQ88sgj/u/MatWqyWOPPWYm209106ZNk0svvVTKlStn/j988cUXaW7XJbyGDBlibtf35txzz5U///xTvPZeHD9+XP71r39JgwYNpECBAuY+N954o1mMwaufDadbb73V3OeFF16QSBD+omjp0qXmS2vkyJHmP+nzzz8vI0aMkIceeki84KOPPjIH9IcfflgWLFgg7dq1kwsvvFDWr18vXjJ16lTp16+fzJo1SyZOnGgOcOedd54cPHhQvG7u3LkyatQoadiwoXiRzszfpk0byZUrl0yYMEEWL14szz77bKZn609W//73v8135CuvvCJLliyR4cOHyzPPPCMvv/yypDr9PmjUqJF57YHoe/Hcc8+Z2/X/TZkyZaRz587+JUi98l4cOnRI5s+fL48++qg5HzdunCxfvly6dOkiXv1sWBoKZ8+ebUJixHyIqeHDh/uqVq3qiXe5RYsWvr59+6a5rnbt2r4HH3zQ52Xbtm3TVbh9U6dO9XnZ/v37fTVr1vRNnDjR1759e99dd93l85p//etfvrZt28Z7NxLGxRdf7Lv55pvTXHfFFVf4brjhBp+X6PfD559/7r986tQpX5kyZXxPP/20/7ojR474Chcu7BsxYoTPS+9FIHPmzDH3W7dunS/VSZD346+//vKVL1/e98cff/gqV67se/755yPaLpW/LFiLr1ixYpLqtGlbm660wuWkl3/55Rfx+mdAeeFzEIpWQy+++GLp1KmTeNVXX30lzZs3l6uuusp0CWjSpIm88cYb4lVt27aVSZMmmUqOWrRokUyfPl0uuugi8bI1a9bIli1b0nyf6txu7du39/z3qf1O1aZOr1bMT506JT169JD7779f6tWrl6FtsLZvDK1atco0X2izTqrbsWOHnDx5UkqXLp3mer2sX2JepX+4DRgwwBzk6tevL1714YcfmiYbbb7ystWrV8vrr79uPhPaHWTOnDnSv39/c2DXfkxeo3259EBeu3ZtyZEjh/kOefLJJ+W6664TL7PfmYG+T9etWydeduTIEXnwwQele/fuZv14r3aXyJkzp/nuyCjCXxi00+3QoUND3kcPavoXvaWdUS+44ALzF/4tt9wiXqF/jbnDj/s6L7njjjvkt99+M9UMr9qwYYPcdddd8sMPP5iBQF6mf7Hr98RTTz1lLmvlT/sHayD0YvjTfsL//e9/5f333zcVjIULF5p+w9qH6aabbhKv4/s0LR38ce2115r/Rzq40IvmzZsnL774ovljOjPHVsJfmAdw/cCFUqVKlTTBr0OHDtKqVSvTud0LSpQoYf5yd1f5tm3bdtpfr15x5513mmY+HblVoUIF8Sr9stLPgY7+trTCo++Ldmg+evSo+ex4QdmyZaVu3bpprqtTp4589tln4kXabKVVHPv9qiM6tbKlI8K9HP50cIfS71P9zFhe/j7V4Hf11VebJvHJkyd7tur3888/m89BpUqV0nyf3nvvvWbEr846Eg7CX5jBRk/hTuOgwU8PdGPGjJHs2b3RrTJ37tzmNevo1q5du/qv18uXXXaZeIlWOzX4ff755/LTTz+ZaSy8rGPHjvL777+nua5Xr16mqU+b/bwS/JSO9HVP+6P93SpXrixepCM53d+R+nnwwlQvoeh3hgZA/f7U6rDtV60zCWiTn1eD34oVK2TKlClmmiSv6tGjx2n9ps8//3xzvX6vhovwF0Va8dO5mDSR/+c//5Ht27ef9pdcKtN+TPoB1GYtW/XUaV769u0rXhvYoM1YX375pZnrz1ZDCxcubObr8hp9D9z9HXW+Lv0C91o/yHvuuUdat25tmn31YKZ9/vT/iVdaCNx0LjPt46ffmdrsq1NE6fQmN998s6S6AwcOyMqVK/2XtaKlzd46MEzfD23+1s9JzZo1zUl/1nkhta+bl94L7QLQrVs308w5fvx4U+Wy36l6uxYevPbZKO4Kvzp1lGaMWrVqhf8kURyR7Hljxowxw7IDnbzi1VdfNcPOc+fO7WvatKknpzcJ9hnQzwf+5tWpXtTXX3/tq1+/vi9PnjxmKqRRo0b5vGrfvn3mc1CpUiVf3rx5fdWqVfM9/PDDvqNHj/pS3ZQpUwJ+T9x0003+6V4GDx5spnzRz8o555zj+/33331eey/WrFkT9DtVH+fFz4ZbRqZ6yab/RDOxAgAAIHF5o0MaAAAADMIfAACAhxD+AAAAPITwBwAA4CGEPwAAAA8h/AEAAHgI4Q8AAMBDCH8AAAAeQvgDgCyiaz1ny5ZN9uzZw3sOIG4IfwDi6pdffpEcOXLIBRdcwG8iyqZMmSIXXXSRWQtU14WtW7eu3HvvvbJx48Y0YdSeSpYsKRdeeKEsWrTIvw1dr1xve/rpp0/bvm5bbxsyZAi/OyCJEP4AxNVbb70ld955p0yfPl3Wr18f0+fSReFPnTolXjBy5Ejp1KmTWfD9s88+k8WLF8uIESNk79698uyzz6a577Jly2Tz5s3yzTffyO7du00Q1/tZFStWlDFjxqR5zKZNm2Ty5MlStmzZLHtNAKKD8Acgbg4ePCgff/yx3HbbbXLJJZfI22+/7b+tVatW8uCDD6a5//bt2yVXrlymoqWOHTsmDzzwgJQvX14KFCggLVu2NNUsS7dXpEgRGT9+vKl65cmTR9atWydz586Vzp07S4kSJaRw4cLSvn17mT9/fprnWrp0qbRt21by5s1rHvvjjz+aKtcXX3zhv49W0K655hopWrSoqa5ddtllsnbt2ojeAw1m9erVM/tWpUqV04KZhrKLL75Y8uXLJ1WrVpX333/f3O+FF14Ius2//vpL+vfvb04arrV6p48555xz5M0335RBgwaluX+pUqVMSGzRooV5/i1btsisWbP8t+vvZufOnTJjxow07+15551nHgsguRD+AMTNRx99JLVq1TKnG264wVSXfD6fue3666+XDz74wH/Z3r906dImrKlevXqZQPLhhx/Kb7/9JldddZWpWq1YscL/mEOHDsmwYcNM6Pnzzz9NWNm/f7/cdNNN8vPPP5uQU7NmTdOEqdcrrQ5efvnlpql09uzZMmrUKHn44YfT7Ltut0OHDnLGGWfItGnTTOVSf9bn11Aajnnz5snVV18t1157rfz++++m+fTRRx9NE4JvvPFGU2XTUKtBUfdl27ZtIbf7ySef+INxIBqIg9GQqY4fP+6/Lnfu3Ob34az+6T7efPPNYb1OAAnGBwBx0rp1a98LL7xgfj5+/LivRIkSvokTJ5rL27Zt8+XMmdM3bdo0//1btWrlu//++83PK1eu9GXLls23cePGNNvs2LGjb+DAgebnMWPGaHL0LVy4MOR+nDhxwlewYEHf119/bS5PmDDBPPfmzZv999H90m19/vnn5vLo0aN9tWrV8p06dcp/n6NHj/ry5cvn+/777wM+z5QpU8w2du/ebS53797d17lz5zT30ddXt25d8/OSJUvM/efOneu/fcWKFea6559/Pujrue2223yFChUK+ZoD7c+OHTt8Xbp0Me/F1q1bzXXt27f33XXXXb5FixaZ6w8cOOCbOnWqr1SpUr5jx475GjVq5Bs8eHC6zwUgcVD5AxAX2s9szpw5puqlcubMaZpQtZlS6eADbZp97733zOU1a9bIzJkzTQVKaTOtVgXPPPNMU3Gzp6lTp8qqVavSVK0aNmyY5rm1cta3b1/zWG321dOBAwf8fQ5137SfmzaFWtok6q7arVy5UgoWLOh/7mLFismRI0fSPH8oS5YskTZt2qS5Ti9r5VL7J+p+6PvStGlT/+01atQwzcyWvg7n61f6vmgTdbgqVKhgHqvN4LpPWjl0N+fqe6gV0k8//dT8jnr06GGa4AEkn5zx3gEA3jR69Gg5ceKE6a9naWjRQKGDDjTgaNC766675OWXXzZ93bRvXKNGjfxNszpKWEOYnjvZEGSbMd1BqGfPnqb/oPabq1y5sulvp30MbXNtOOFJn79Zs2b+cOqkwTUcgZ7H2czt/DnYfR577DG577770tyuoVYHbGh/wXAGZGjzd6FChcx+63kw2sz76quvmsEjGtwBJCcqfwCynIa+sWPHmsEFCxcu9J90ihENYzZQab87raR99913Jvxpv0CrSZMmpjqmVTythjlPzopdsLCjgyG0n58dbLFjxw7/7bVr1zZVwK1bt/qv00EiTlqN0wqdVsjcz6+VxHDoQBLtK+ie+kbDmwZa3Q99rxYsWOC/XauNznkC3c+vunXrZiqew4cPD/i87nkGdSBJ9erVQwY/1b17d9M3sX79+mbfASQnwh+ALKejb7W617t3bxMknCcNLloVVDqCV0fQ6iAIbY7U8GFpQNLKoA6IGDdunGkW1oD273//W7799tuQz68h6d133zXb1AEduh070EFpc7OGIR0UogNJdFCJHfBhK3X6GG0m1f3TMKnPr03OWqnU0bbh0Dn3Jk2aJI8//rgsX75c3nnnHXnllVf8lTwNfzpdyz//+U9TadMQqD8HqmY6aZP1888/Ly+++KJ5j3W/dJSzvo5bb73VPF9GaDVWq4m6zwCSF+EPQJbTcKehJlCF7MorrzRVQDv1ioYsrQi2a9dOKlWqlOa+OvpUw5+GKB0x3KVLFxPmNPyEon3WNHxq9VD7rmkV0NnHTatuOqWL9gM866yz5JZbbpFHHnnE3KZTvygdCayjfHWfrrjiCqlTp45pFj18+HC6FTRn9VCnutHRyhp8dQoWbcbVZmlLK6Q6wlmnaenatav06dPH9DO0+xHM7bffLj/88IOZjkYfp0FSX4fum7uZOBI6UlhDOYDklU1HfcR7JwAg0WnVTOf902ZXrQrGi1YVNdzqvIMdO3aM234ASF6EPwAI4PPPPzcDR3SEqwY+bc7VZk93H71Y01U0tALZoEED0+Sqc/dpNU+biRltCyAjGO0LAAHohM8atDZs2GD69mkztXv1jaygky0/9NBDsnr1atPc27p1azMghuAHIKOo/AEAAHgIAz4AAAA8hPAHAADgIYQ/AAAADyH8AQAAeAjhDwAAwEMIfwAAAB5C+AMAAPAQwh8AAICHEP4AAADEO/4P4vYUmVFMAhsAAAAASUVORK5CYII=",
"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 (female - male)')\n",
"ax.set_title('MD plot')\n",
"ax.legend(fontsize=8, frameon=False)\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "cb34276d",
"metadata": {},
"source": [
"## 12. Volcano plot"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "442807e2",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:58.231182Z",
"iopub.status.busy": "2026-04-20T19:12:58.231062Z",
"iopub.status.idle": "2026-04-20T19:12:58.289125Z",
"shell.execute_reply": "2026-04-20T19:12:58.288864Z"
}
},
"outputs": [
{
"data": {
"image/png": 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hVatWlWLFiknbtm1l48aNwWwyAACIYEENTtWrV5dXXnlFVq9ebU7t2rWTW2+91ROORo8eLWPGjJHx48fLqlWrJC4uTjp06CDHjh0LZrMBAECECmpwuvnmm+XGG2+Uyy+/3JxefvllKVmypCQnJ5tq09ixY2XYsGHSvXt3adiwoUyZMkVOnDgh06ZNC2azAQBAhHLNGKeMjAyZMWOGHD9+3HTZpaSkSGpqqnTs2NFzn5iYGGnTpo0sX748qG0FAACRqXCwG7B+/XoTlE6dOmWqTTNnzpQGDRp4wlHlypUz3V+v79ixI9vnO336tDnZ0tPTC7D1AABkLXXhQjmQnCwVWrSQuMRENlOYCHrFqV69erJu3TrTPffwww9Lnz59ZNOmTZ7bo6KiMt1fu/B8l3kbNWqUlClTxnOqUaNGgbYfAICsQtOqvn1l+9Sp5lyvIzwEPTgVLVpU6tSpI82aNTOhp3HjxvLGG2+YgeBKu+u8paWlXVCF8jZkyBA5evSo57Rr164CXwcAALxppSkqOlqsjAxzfnDFCjZQmAh6cPKlFSXtaqtdu7YJTwsWLPDcdubMGVm6dKm0atUq28frOCh7egP7BABAIGn3nB2a9Dw2ISGk3gCtkG146SUqZW4b4zR06FDp0qWL6U7TKQZ0cPiSJUtk7ty5pjtu4MCBMnLkSKlbt6456eXixYtLr169gtlsAABypGOamiclmUqThqZQGuNkdzNq6EuZPNmsRyi1P6yD0759++See+6RvXv3mvFIOhmmhiadq0kNHjxYTp48Kf3795fDhw9LQkKCzJ8/X0qVKhXMZgMAkCsNG6EYOLLqZgzF9QjL4PTee+/leLtWnXTmcD0BAIDAdDNqpSlUuxnDfjoCAADgHqHczRgIBCcAABAW3YyBQHACAACukuriyUNdNx0BAACIXKkunzyU4AQAAFzjgMsnDyU4AQAA16jg8slDGeMEAABcI87le/URnAAAgKvEuXivPrrqAAAAHCI4AQAAOERXHQAAYTC/EAKDihMAAGEwvxACg+AEAEAYzC+EwCA4AQAQBvMLITAY4wQAQBjML4TAIDgBABAG8wshMOiqAwAAcIjgBAAA4BDBCQAAwCGCEwAAgEMEJwAAAIcITgAAAA4RnAAAABwiOAEAADhEcAIAACjI4PTBBx/IddddJ1WrVpUdO3aYZWPHjpVZs2ZdzNMBAACEZ3CaMGGCDBo0SG688UY5cuSIZGRkmOVly5Y14QkAACBc5Tk4vfnmmzJx4kQZNmyYREdHe5Y3a9ZM1q9f7+/2AQAAhG5wSklJkSZNmlywPCYmRo4fP+6vdgEAAIR+cKpdu7asW7fuguVz5syRBg0a+KtdAAAArlM4rw94+umn5ZFHHpFTp06JZVmycuVKmT59uowaNUomTZpUMK0EAAAIxeB0//33y7lz52Tw4MFy4sQJ6dWrl1SrVk3eeOMN6dmzZ8G0EgAAIBSDk3rooYfM6cCBA3L+/HmpVKmS/1sGAAAQDsHJVqFCBf+1BAAAINyCkw4Oj4qKyvb2bdu25bdNAAAA4RGcBg4cmOn62bNnZe3atTJ37lwzcBwAACBc5Tk4DRgwIMvlb731lqxevdofbQIAAAjvg/x26dJFPvvsM389HQAAQPgGp3//+99Svnx5fz0dAABA6HfV6eFWvAeH6ySYqampsn//fnn77bf93T4AAIDQDU7dunXLdL1QoUJSsWJFadu2rdSvX9+fbQMAAAjt4DR8+PCCaQkAAEA4BKf09HTHT1i6dOn8tAcAACC0g1PZsmVznPTSHuuk98nIyPBX2wAAAEIvOC1evLjgWwIAABAOwalNmzYF3xIAAIBwPcjviRMnZOfOnXLmzJlMyxs1auSPdgEAAIR+cNL5mu6//36ZM2dOlrczxgkAAISrQhdzkN/Dhw9LcnKyFCtWzBzcd8qUKVK3bl2ZPXt2wbQSAAAgFCtOixYtklmzZknz5s3N5Jfx8fHSoUMHMw3BqFGjpGvXrgXTUgAAgFCrOB0/flwqVapkLuux6bTrTl111VWyZs0a/7cQAAAgVINTvXr1ZMuWLeby1VdfLUlJSbJ792555513pEqVKgXRRgAAgNDsqtMxTnv37vUcfqVTp07y0UcfSdGiReX9998viDYCAACEZnDq3bu353KTJk1k+/btsnnzZqlZs6ZUqFDB3+0DAAAI3a66pUuXZrpevHhxadq0KaEJAACEvTwHJ92DTqtLzz77rGzYsKFgWgUAABAOwWnPnj0yePBg+fbbb80s4XoaPXq0/P777wXTQgAAgFANTjqO6dFHH5Vly5bJb7/9Jj169JCpU6dKrVq1pF27dgXTSgAAgFAMTt5q165tuuxeeeUVM4+T7/gnAACAcHLRwUkrTv379zdzN/Xq1UuuvPJK+fLLL/3bOgAAgFCejmDo0KEyffp0M9YpMTFRxo4dK926dTN71wEAEElSFy6UA8nJUqFFC4lLTAx2c+DG4LRkyRJ56qmnzNgm5m0CAERq0NHnWtW3r0RFR0vK5MnSPCmJ8BQB8txVt3z5cnnkkUdMaNLKkx67DgAAt7ODzvapU825Xs8PDWAamqyMDHN+cMUKv7UVYTo4vG/fvrJv3z7/tQYAgALi76CjVSv7ufQ8NiFBwl3qwoWy4aWX8h06IzY4WZblv5YAAFCA/B10tKtPu+dq9+kTEd10/q7YRcwYJwAAQpEddLTSpKHJH0FHnyPcA1NOFbu4CFl3vwWnOXPmSLVq1fzXGgAACnCgdyQFHX/T7ZwyeXJEdU36NTilpaWZrrpVq1bJ5ZdfLpUqVfJvywAAyAZ7tIVHxS4iglN6errZq27GjBmSkZFhlkVHR5vpCd566y0pU6ZMQbQTAAAPuo2CI46KXd4Hhz/44IOyYsUKM0v4kSNH5OjRo+by6tWr5aGHHiqYdwoAgAjfow0hWnH66quvZN68eXL99dd7lnXq1EkmTpwonTt39nf7AAC4AN1GCJngFBsbm2V3nC4rV66cv9oFAECO6DZCSHTVPffcczJo0CDZu3evZ1lqaqo8/fTT8vzzz/u7fQAAAKFbcZowYYL8+uuvEh8fLzVr1jTLdu7cKTExMbJ//35JSkry3HfNmjX+bS0AAEAoBadu3boVTEsAAADCLTgNHz68YFoCAAAQzseqAwAAiCRBDU6jRo2S5s2bS6lSpczM49oNuGXLlkz30dnJR4wYIVWrVpVixYpJ27ZtZePGjUFrMwAAiFxBDU5Lly41s5AnJyfLggUL5Ny5c9KxY0c5fvy45z6jR4+WMWPGyPjx483hXeLi4qRDhw5y7NixYDYdAABEoHwd5De/5s6dm+n65MmTTeXphx9+kD/96U+m2jR27FgZNmyYdO/e3dxnypQpUrlyZZk2bZr07ds3SC0HAACRyFVjnPTwLap8+fLmPCUlxcwRpVUom0570KZNG1m+fHnQ2gkAACJTnipOv//+u5nHSUOLBpqoqChT/WnVqpX069dPatSocdEN0eqSTqyph3Jp2LChWaavofQ1vOn1HTt2ZPk8p0+fNifvgxIDAAAEtOL03XffyRVXXCEzZ86Uxo0by7333it33323ufzFF1/IlVdeKcuWLbvohjz66KPy008/yfTp0y+4TQOab8jyXeY94FwP/2Kf8hPmAAAALqri9MQTT8iDDz4or7/+era3Dxw40AzgzqvHHntMZs+eLd98841Ur17ds1wHgtuVpypVqniWp6WlXVCFsg0ZMsRUrrwrToQnAAAQ0IrThg0bTHdcdnSgtt4nL7RypJWmzz//XBYtWiS1a9fOdLte1/Cke9zZzpw5Y/bG0+7BrOgYqNKlS2c6AQAABLTipBUfHdtUr169LG///vvvM1WFnNCpCHTvuFmzZpm5nOwxTdrFpnM2aXecVrFGjhwpdevWNSe9XLx4cenVq1eeXgsAACBgwempp54yFSedKkDnUdKuMg02Gna0IjRp0iQzdUBe6EBzpZNa+k5LcN9995nLgwcPlpMnT0r//v3l8OHDkpCQIPPnzzdBCwAAIJCiLO0vc+jjjz82Y5w0PGVkZJhl0dHRcs0115hxRXfeeae4jY5x0gqWTnVAtx0AZHbLLbeYMaZAJEvPQ1bI03QEPXr0MKezZ8/KgQMHzLIKFSpIkSJF8tdiAACAcJ05XINSXsczAQAAhDq/zRz+22+/Sbt27fz1dAAAAOEbnP744w8zTQAAAIBEelfduHHjcrx99+7d/mgPAABA6AcnnU9JxzUVLVo0y9t1YkoAAIBw5jg4xcfHy6uvvprtlAPr1q0z0xIAAABIpI9x0lCk8zdlRyfDzMOUUAAAAOFbcXrhhRfkxIkT2d7eoEEDSUlJ8Ve7AAAAQjc4aTDKbW4n7c4DAAAIV36bjgAAACDc5Xnm8CZNmpjxTL502SWXXCJ16tQxB+i94YYb/NVGAACA0Kw4de7cWbZt2yYlSpQw4aht27ZSsmRJM3N48+bNZe/evZKYmCizZs0qmBYDAACESsVJD+775JNPyvPPP59p+UsvvSQ7duyQ+fPny/Dhw+XFF1+UW2+91Z9tBQAgV6kLF8qB5GSp0KKFxCUmssUQ3IrTJ598InfdddcFy3v27GluU3r7li1b/NNCAADyEJpW9e0r26dONed6HQhqcNJxTMuXL79guS7T29T58+clJibGPy0EAMAhrTRFRUeLlZFhzg+uWMG2Q3C76h577DHp16+fmQxTxzTpoPCVK1fKpEmTZOjQoeY+8+bNM4PIAQAIJO2eS5k82ROeYhMSeAPgV1HWRUz3/dFHH8n48eM93XH16tUzgapXr17m+smTJz172QVbenq6lClTRo4ePSqlS5cOdnMAwFVuueUWmT17toQT7Z7TSpOGJsY4wd9Z4aKCUyghOAFAZAUnoCCzQp676mzaVffzzz+bypLOKk7XHAAACHd5Dk5paWlmD7olS5ZI2bJlzYF9NaHpnE4zZsyQihUrFkxLAQAAQm2vOh3LpCWtjRs3yqFDh+Tw4cOyYcMGs+zxxx8vmFYCAACEYsVp7ty5snDhQrniiis8y7Sr7q233pKOHTv6u30AAAChW3HSOZqKFClywXJdprcBAACEqzwHp3bt2smAAQNkz549nmW7d++WJ554Qtq3b+/v9gEAAIRucNL5m44dOya1atWSyy67TOrUqSO1a9c2y958882CaSUAAEAojnGqUaOGrFmzRhYsWCCbN282e9XpGKdEDqQIABft+y375McdB6VxfKy0rFeZLQm41EXP49ShQwdzAgDkPzSN+GS1FIqKkpkrUqTndXXk9LkMQhQQqsFp3Lhxjp+QKQkAIG+00qSh6bxlSVSUyIxlv3pC1Ig7m1GBAkItOL3++uuOnkxnESc4AUDeaPechiRPeNI9mC3LXP9px0GCExBqwSklJaXgWwIAEUrHNGllSUNS0cLRnoqThqdG8bHBbh4Af4xxUsuWLZNmzZpJTExMfp4GACKehid7UHj9amVNiNLQxEBxIIyCU5cuXWTdunVy6aWX+q9FABDhvEMUgBCfx8mbTkUAAAAQKfIVnAAAACJJvoJTUlKSVK5MORkAAESGfI1x6tWrl/9aAgAwmEUccC+66gDAhbOIz1q53ZzrdQDuQXACAJfOIq7mrtsZ7CYB8EJwAgCXzSJuhyaVvDWNqhPgIgQnAHARnb+pRd1Knut6+BWdDBOAOxCcAMBlalUq7bmstSc9DAsAdyA4AYDLnD6XIVFR9sHTRc6cywh2kwD8D8EJAFwmpnC06DAnzU56zoF+AfcgOAGAi+j0AzOW/WoqTdpN1/O6Ohy3DnARghMAuHA6Aq006TnddIC7EJwAwIXTEWjFSc8ZGA64C8EJAFw2HYF2z9ljnLTbjtnDAfcgOAGAi2hIWvVbmmeMk3bXMY8TECYH+QUA+P84dWZvuv9Nfkl3HeAuVJwAwG0Dw/933Q5PdNddKHXhQtnw0kvmHAgkghMAuGxguIYn8Q5PURx2xZuGpVV9+8r2qVPNOeEJgURwAgAXDQwfcWcz6XZtLWldv4pnuQ4UZ++6/3MgOVmioqPFysgw5wdXrAjK+4XIRHACAJeFp74dG8jZ8/93mBWtPzGf0/+p0KKFJzTpeWxCQlDeK0QmBocDgAsHiSdvTcvUXcdhV/5PXGKiNE9KMpUmDU16HQgUghMAuHSQuJkIU0QSLq/MYVd8aFgiMCEY6KoDABcPEtdqU+erawS7SQD+h4oTALh0kLhOfKlddHodgDsQnADAhTQsEZgA9yE4AYALB4frOCftsiM8Ae7CGCcAcOFhV2at3G7OOcAv4C4EJwBw6R51au66ncFuEgAvBCcAcOEedTadz4mqE+AeBCcAcBEd09SibiUzf5PS6pPuXQfAHQhOAOAynZvUNPM32V12zBoOuAd71QGAyzCPE+BeBCcAcCHmcQLcia46AAAAhwhOAAAADhGcAAAAHGKMEwC4EIddAdyJihMAuAyHXQHci+AEAC4+7AoTYALuQnACAJcedoUJMAH3YYwTALhwDqee19WRVb+lSfPLKpnrANyB4AQALhzjNGPZr6bi9FtqutSvVpbwBLgEXXUA4DKMcQLci+AEAC7DGCfAvYIanL755hu5+eabpWrVqhIVFSVffPFFptsty5IRI0aY24sVKyZt27aVjRs3Bq29ABDIg/x2u7aWOWeME+AeQQ1Ox48fl8aNG8v48eOzvH306NEyZswYc/uqVaskLi5OOnToIMeOHQt4WwEgkDQs9e3YgNAEuExQB4d36dLFnLKi1aaxY8fKsGHDpHv37mbZlClTpHLlyjJt2jTp27dvgFsLAIHDzOGAO7l2jFNKSoqkpqZKx44dPctiYmKkTZs2snz58mwfd/r0aUlPT890AoBQwszhgHu5NjhpaFJaYfKm1+3bsjJq1CgpU6aM51SjRo0CbysA+BN71QHu5drgZNNB475deL7LvA0ZMkSOHj3qOe3atSsArQQA/2GvOsC9XDsBpg4EV1pdqlKlimd5WlraBVUob9qdpycACPW96n7acVAaxccyQBxwEddWnGrXrm3C04IFCzzLzpw5I0uXLpVWrVoFtW0AUNDYqw5wp6BWnP744w/59ddfMw0IX7dunZQvX15q1qwpAwcOlJEjR0rdunXNSS8XL15cevXqFcxmAwCACBXU4LR69Wq54YYbPNcHDRpkzvv06SPvv/++DB48WE6ePCn9+/eXw4cPS0JCgsyfP19KlSoVxFYDQGD2rJu7dqdIlEjnq2vSXQe4RJSlo63DmE5HoHvX6UDx0qVLB7s5AOB4OgJvBTWD+C233CKzZ8/mXUFES89DVnDtGCcAiOTpCHz3HdaB4gCCj+AEAC6cjsC3K0D3rgMQfK6djgAAIn06grnrdB46izFOgIsQnADApeGpIMY0AcgfuuoAAAAcouIEAC7ds04Hiet4JypPgHtQcQIAl05HMGvldnOu1wG4A8EJAFxGK02FoqLkvB7UXOR/g8QBuAHBCQBcRrvnNDQp/Td56z6qToBLEJwAwGV0TFOLyyt5rmv1iQkwAXcgOAGAC+nx6ZTdZccEmIA7sFcdALh4EkytNGloYs86wB0ITgDgUkyCCbgPXXUAAAAOEZwAAAAcIjgBAAA4RHACAABwiOAEAADgEMEJAADAIYITAACAQwQnAAAAhwhOAAAADhGcAAAAHOKQKwAAv0pduFAOJCdLhRYtJC4xka2LsELFCQDg19C0qm9f2T51qjnX60A4ITgBAPxGK01R0dFiZWSY84MrVrB1EVYITgDgYt9v2SfvzN9kzkOBds/ZoUnPYxMSgt0kwK8Y4wQALqVhacQnq6VQVJTMXJEiI+5sJi3rVRY30zFNzZOSTKVJQxNjnBBuCE4A4FI/7jhoQtN5yzLnP+04mCk4abDS+zSOj3VVoNKwRGBCuKKrDgBcSgORhqaoKDHnRQtHX1CNmrVyuzkPla48INQRnADApbSK1PO6OmJZIlEiMmPZrzJ8xipPpcm3GgWg4BGcAMDFTp/LMMHI+t/1Fb+kmQpTTOFoT2jS80bxsUFuKRAZGOMEAC7vrtOB4TYNUBqWzpzLMIPFtdLUyGVjnIBwRnACABfTQKQBae66nZK8NS1ThUlvIzABgUVwAgCXswOSjm2iwgQEF8EJAEIEFSYg+AhOABAC3DpnExBpCE4A4PLANHftTkn+5f+Pb8pqBnFCFRA4TEcAAC5lT3KpUxCorOZsYiJMILAITgDgUvYkl/YcTsp3ziYmwgQCi+AEAC4/5Iq31vWrZOqms+/DRJhAYDDGCQBcSgNSi7qVzPgm27eb95ruOTs82fM8uWWagtSFC+VAcrJUaNGCA/0iLFFxAgAX69ykZqbresw63+PSaVjq27GBK0LTqr59ZfvUqeZcrwPhhuAEACFEO+6Wb0mVyYu2eJZpBeqd+ZvMeTBppSkqOlqsjAxzfnDFiqC2BygIdNUBgIt5D/62pR45KTOW/SprUvZL09oVzeXspioIZNecnlImT/aEp9iEhIC1AwgUghMAhMBBfn3Dk9q656g5RflMVRCo4GR3zWlQ0sDUPCnJnLTSpKEpLjExIO0AAongBAAu5j34e//RU2ZwuLeoKBHNU4Haq86yLDlz5owULVo0y665K4cNIzAhrBGcACCEjlE3edFmWbxht+w7esoTlnpeV0fOnMso8L3qNDRt27ZNTp48KcWKFTNVJbrmEGkITgDgh+pLlJZ+AvB6f4ovIs0rVZZfDp6TfaeLSOP4CgHrmtN11dCk9Lz6n/6U5665QG8zwN8ITgDgh+rLpZdeWuBBwDu41I0tLDfWrSMxMTESKEWKFDGvd/r0abPOer1c69ZSuX17R+sejG0G+BvBCQD8UH3R6wUdYrRKo4HDDh56PRA08GhY2rlzp1lPDUy1atWSlJSUPIWgYGwzwN8ITgDgshCTVXeWvax27dpy9uzZgHYP/vbbb3Lq1CnPMn39Y8eO5TkEZbXN6LpDqCE4AcBF0NCiVRbvgJPfEGBXdn7//XcTVOxKjsqui8v3Nf0dRLQd3qHJtmfPHs9lfR2tQvmui90OZV/23mY5rRfgVgQnALhI+iVvV1nyO37H+/E2u5JjX7bPNVxdcsklmR6j16tVqya7d+/OFLryE0T0+Xfs2JHlbefPn890P23TuXPnpESJEuY1vdulvNtkbzN9DF13CDUccgUA/CCr8TsX+3ibPQBbg4l3N5iONdLg4v0YDSbeXWoX0wZf+hwahnKj1SN9bQ1ZmzZtMo/zbld2bbK77ux1DdSYLSA/qDgBgAvGPHk/Xqs01atXN8vsAdjewUnDhwYVu3qjlRtf+Q0iGsw0oOVGg13lypVl165dnmV6WddBA5Nvxcm7TVl1dwJuR3ACAD/IbwjwfryGER2A7V1R0nBkL7eva3eYnnt3fWlQqVSpkpQsWdKzLK/t0QrXL7/84qjaVLNmzQsGhWsbdXmhQoUuGOPk2w7v7k4gFBCcAMBP8hsC9PEaLrzHB3lXbqpUqWIqUDa70qTnderUMYFHqz1aKcpqbJHTuZaOHj3qCWi50e65yy+/3Dy/ttub97Zwsl3Yww6hgDFOAOAivuOWtMtOQ5HyDk3eYcTuAtO98ewxRDmNLcpt6gF9Hqe0KrV161bzWO9uOH0OXeaUPdBdK116npfHAoFExQkAXETDh3eVScORhp6spgSoWrWqFC5c2DxG7+M71ske/6TnvtMFZEXvm9XrOAlPvqFOn8vuOnRSYWJyTIQKKk4A4DJ2tcU+12CRVVeXVpLs+2QVjDRY2eFJg01uVRzvKQb8IafX860wafvZww6hgIoTALiIXamxL6enp5vwozOG//rrr5kGbKempppzDR3apedLxzvZ9/ee/yk7Tsc1OaVzSl122WUXjK3S0PTHH39kmr5BX5s97BAKCE4AEABOZ/j2rfrYu/nbj9GQVLZsWdm/f7/nPho6fLvKlO9ecTruKKsgY7dv37594k/a7adhzR70bi/TddJ1t9fJHqPFHnYIBQQnAChgvrOKa/XI9wC5SkNGdjN1291eGpIOHjx4Ue3Q0JLdMeV0eX4nzPSl1S378DH2TOfe47DsIKjbgzmcECoITgBQwHwHPh8/fjzTdT1pt1ZWE1n6eyxSdHR0lsudDB7P6+voGCt7ioLsBp3b81Xl1IUIuAmDwwGggPkeWkSP5+YdFLT65DQ05ZeOk8pq0La/Xz8jI8MERG/ZVZXyOnUBEExUnAAgCLOK62BuDTEqkKFBxz3Zk2J68z1Onr9ey1t265lTFyLgNlScACAA7IHPdtVFL9vhJdDje7Kq8Ohebv6Wl7FYTroK7TFSVKcQTFScACDIVSgdD6Qzdut4H72s3VwFScOHd4VHx0zptAfBlNs4J98B9k4PIQP4GxUnAAgSezd93ZPOnkOpoENTVoPEC6LalBvf0JPbOKesZhYHgiFiKk49evQwpeCPPvpIhg4dav5QNWzYUB599FHp16+fuc9DDz1k/ni9//775vq//vUvefXVV2XLli3mWFHPPfec3Hfffea2e+65R4oXLy5JSUnm+ttvv20u//jjj1KjRg157bXXpGfPnua2O++80xyc84033jDXX3/9dZk+fbqsXLnSHMVcH3fbbbeZ22699VapV6+ejB492lx/5ZVX5KuvvpJvv/1WSpcuLR9++KF0797djB3o1KmTXHvttfLiiy+a+44YMUKWLVsmCxYsML8kP/30U+nVq5f5o9imTRvp2LGjDBs2zNz32WeflQ0bNsiXX35prs+ePVvuv/9+U1pv2bKl3H777fLkk0+a2wYNGmQOGvrvf//bXP/kk0/kiSeeMHsBNWnSRB544AGzHVX//v3NAUJ1O6sPPvhAhg8fbn4pXnHFFea5dDurv/zlL57trCZOnChjxoyRn3/+2fya/Pvf/262s+rdu7eUKVPGbGc1fvx4ee+992Tt2rVSrVo1s011Oyttux6ZXZ9L/fOf/zRt//777yU2NlYmT54st9xyi7ntpptuMp8D3c7q5Zdflvnz58vSpUvN0eWnTZsmd9xxh/mF3qFDB7nuuuvMdlbPP/+8eQ/nzZtnDnvx+eefy913321+ubdu3Vq6du1qtrMaPHiw+RzNmjXLXJ85c6b07dtX0tLSzHt41113mW2qBgwYIHv37jXbWc2YMUOefvppM/dN48aNzeN0Oyu9fOLECbOdlX52X3rpJTN2Rj9HzzzzjGc762dX/w/odlbvvPOO2Y76OYiPj5eRI0ea7ay0Pbqt9HY1btw4mTp1qqxevdp8lnX5n//8Z3ObfnZ1bqB//OMf5rp+dnU99bNYrlw5mTJlinTr1s1UNW688UbzmdHtrF544QVZsmSJLFq0yFQRPv74Y/N/Vb8Y27VrJ23btpW//e1v5r762dX3++uvv5ZChQrJF198IX369JHDhw+b90X/7+h2Vk899ZSp4Oh2Vp999pn5jOp2bdasmdx7773y+OOPm9t0uX7u9f+kCvTfCN0u2v6KFSt6/t/oeuh66ntTvnx5sw0GDhxobrvhhhukVq1a5nOsdPk333wja9asMYPO9bOsyzSAtWrVSq666ipPGx5++GGzDZOTk6VUqVLm/70+Tttx5ZVXmv/7b775prmv/r/WWb31uZUu1/XT/9/6OdT/D/Z7rttTt63+7VG6XD8H+vmuX7+++Zulny/7b7F+Zv/zn/+Y67pct40Gp6ZNm5p1z+5vhH4GdF3s90Y/P/yN4G/E3/zwN8L+/+RElBXmncX6JaZfuPqfXYMHALiJdxdUIGmo1R8d+iPCDjWBqjRpqNfw47vO+oNHA112XXDZTRoKBDIrREzFCQDcxHsySJ0AUitZ+itZfwX77o1WEPRXuM6z5O/j0+VGq8laodVzXX+tpNrbQSvbOY1fYmZxuAHBCQCCEJo0INmTQuqgaO3u1AARiNDkHZ4C2emg62kPANcQpJe1i1OHE9gzptvjl5iaAG7F4HAACDANBt4zadvzGDmd5dtf9uzZY8YbFQRtu3YFVq5c2TPVgFa3NKh5TyugAUrHE3pPEGof1w5wIypOABBgGgy02uJdcbLDgr1cz3UQuD1NQajR8SI66N47IGo41B0XtEvSnoTT7pbznSAUcCuCEwAEmAYDu2tOeU+Mqcs1QGiVRgeNa2jSy6EWng4dOpTlcu/Kmne3HOOXECpCoqtOd1XVwZP6C+yaa64xu+YDQCizx/joybvCYgcI7+68UAtNTsc50S2HUOT6ipPO66Jzkmh40nkYdA6PLl26yKZNm8yuqwAA99OwpMfnswd90y2HUOX6ipNOYqgTsT344INmAsWxY8eayeMmTJgQ7KYBQIHRgGFXZkJt3I9ON+A9Zkv3nNMuSLu65nvcPiCUuLripL9IfvjhB8/syzadAXv58uVZPkbHDNjjBlSwj78EAPkZB2VXZnQPNN1tX0OJXk5JSXHNhtUQpHvQ6R56Olu6vYccVSWEI1cHpwMHDpjDBujurN70empqapaPGTVqlDlUBwCEOu8B03rZe0bjBg0aeIKU0ss6L1NBj4fSvd/sPf+8g5K2Ty97Yy4mhCNXByebbznXnvsjK0OGDDHHQ/OuOGnXHgCEE92l3ztIaWjR491plUfnUDpy5Ig517mTNODooSQu5rAsGszsbjU9HIq+rv16vkEJiASuDk4VKlQw//F9q0t64EjfKpRN/4PzKwdApFeo9O+nTQ/YrD8g9UenBio9QHd2j9cuNw1kdkACEELBSfv1dfoBPeK2HoHdptf1KMcAAOc0GGkVSU82rSI1bNiQzQiEQ3BS2u12zz33SLNmzaRly5by7rvvmgNB9uvXL9hNAwAAEcb1walHjx5m2v4XXnhB9u7da34Zff311xIfHx/spgEAgAjj+uCk+vfvb04AAADBxOg/AAAAhwhOAAAADhGcAAAAHCI4AQAAOERwAgAAcIjgBAAA4BDBCQAAwCGCEwAAgEMEJwAAAIcITgAAAA4RnAAAAMLpWHX5YVmWOU9PTw92UwDAdc6ePcvfR0S89P9lBDszRHRwOnbsmDmvUaNGsJsCAK5UpkyZYDcBcE1myO3/Q5TlJF6FsPPnz8uePXukVKlSEhUVdVEpVEPXrl27pHTp0hIpInW9I3ndWe/Ier8V73lkveeR+n47WXeNQhqaqlatKoUKFYrsipNugOrVq+f7eXRDR9oHLZLXO5LXnfWOPLznkSVS3+/c1t1p5ZXB4QAAAA4RnAAAABwiOOUiJiZGhg8fbs4jSaSudySvO+sdWe+34j2PrPc8Ut9vf6972A8OBwAA8BcqTgAAAA4RnAAAABwiOAEAADhEcMrByy+/LK1atZLixYtL2bJls7zPzp075eabb5YSJUpIhQoV5PHHH5czZ85IuNm6davceuutZh11DozrrrtOFi9eLJHgq6++koSEBClWrJhZ/+7du0ukOH36tFx99dVm8th169ZJuNu+fbs88MADUrt2bfN+X3bZZWZAaTj+n3777bfNel5yySVyzTXXyLfffivhbtSoUdK8eXMzIXKlSpWkW7dusmXLFok0uh30//TAgQMl3O3evVvuvvtuiY2NNd/l+vfshx9+yNdzEpxyoH8s77jjDnn44YezvD0jI0O6du0qx48fl++++05mzJghn332mTz55JMSbnQ9z507J4sWLTIfOv3w3XTTTZKamirhTN/Pe+65R+6//3758ccfZdmyZdKrVy+JFIMHDzYz6UaKzZs3m6MNJCUlycaNG+X111+Xd955R4YOHSrh5OOPPzZfmsOGDZO1a9dK69atpUuXLuaHYDhbunSpPPLII5KcnCwLFiwwf9M6duxo/oZHilWrVsm7774rjRo1knB3+PBh8yO/SJEiMmfOHNm0aZP885//zLYQ4pjuVYecTZ482SpTpswFy7/++murUKFC1u7duz3Lpk+fbsXExFhHjx4Nm826f/9+3fPS+uabbzzL0tPTzbKFCxda4ers2bNWtWrVrEmTJlmRSD/f9evXtzZu3Gje67Vr11qRaPTo0Vbt2rWtcHLttdda/fr1y7RM3+tnn33WiiRpaWnms7106VIrEhw7dsyqW7eutWDBAqtNmzbWgAEDrHD2zDPPWNdff73fn5eKUz58//330rBhw0y/yDt16mS6N/JbCnQTLXFeccUVMnXqVPPLTH+l6S/yypUrmxJ/uFqzZo0p8+phe5o0aSJVqlQxv8q1EhHu9u3bJw899JB88MEHprwdyY4ePSrly5eXcKqk698nrbR40+vLly+XSHtvVTi9vznRapv2HiQmJkokmD17tjRr1sz0HGnXrP4dnzhxYr6fl+CUD9pNpeHBW7ly5aRo0aJh1YWlfeFa1taSvo4N0DER2oUxd+7c/Jc8XWzbtm3mfMSIEfLcc8/Jl19+ad7fNm3ayKFDhyRc6dRu9913n/Tr18/80Ylkv/32m7z55ptmW4SLAwcOmGEGvn+79Ho4/d1y8jkfNGiQXH/99eYHcLjToST6Y1DHN0WKbdu2yYQJE6Ru3boyb9488/9YxyFrESA/Ii446ZegBoGcTqtXr3b8fHr/rP5DZrU8VLeFrk///v1NYtcBpCtXrjQDxXWM0969eyXUOF1vHeuidBzIn//8Z1Ndmzx5srn9008/lXBdbw0KeiTxIUOGSCT/v9+zZ4907tzZ/Fp98MEHJdz4/o0Klb9b/vLoo4/KTz/9JNOnT5dwt2vXLhkwYIB8+OGH5odvpDh//rw0bdpURo4caapNffv2NZV0DVP5UVgijP5n6dmzZ473qVWrlqPniouLkxUrVlwwGO3s2bMX/JoL5W2hA8K12qLrZh9VWvfI0SrUlClT5Nlnn5VQ4nS9jx07Zi43aNDAs1yn67/00ktDchCt0/V+6aWXzOBZ30MTaPWpd+/e5j0P9//3GppuuOEGadmypRlIG050z9Do6OgLqktpaWkh8XfLHx577DHTjfPNN99I9erVJdxp16y+v95DK7TqqOs/fvx4M7xEPxPhpkqVKpn+fisddqI7/eRHxAUn/aOhJ3/QP6o6ZYFWXfQNUvPnzzdfOKEw9sfptjhx4oQ517E+3vS6XZUJJU7XW99DfS91d2Ut5ysNxbrLenx8vITreo8bN86EJ+8QoWP3dE8snZYh3P/f67g2DU12hdH3cx/qdCiBrpv+8Lnttts8y/W6VpLDmVbVNDTNnDlTlixZYqZjiATt27eX9evXZ1qmewrXr19fnnnmmbAMTUr3qPOdbkKn1sn332+/DzcPIzt27DB7Ev3973+3SpYsaS7rSfdMUOfOnbMaNmxotW/f3lqzZo3Zw6x69erWo48+aoUT3asuNjbW6t69u7Vu3Tpry5Yt1lNPPWUVKVLEXA9nuteJ7lk3b948a/PmzdYDDzxgVapUyTp06JAVKVJSUiJmrzrdQ7ZOnTpWu3btrN9//93au3ev5xROZsyYYf7/vvfee9amTZusgQMHWiVKlLC2b99uhbOHH37Y7CG9ZMmSTO/tiRMnrEgTCXvVrVy50ipcuLD18ssvW7/88ov10UcfWcWLF7c+/PDDfD0vwSkHffr0MV8YvqfFixdnClddu3a1ihUrZpUvX96EplOnTlnhZtWqVVbHjh3NOpYqVcpq0aKF2V093J05c8Z68sknTVjS9U5MTLQ2bNhgRZJICk469UhW/+fD8TfmW2+9ZcXHx1tFixa1mjZtGhG75Gf33ur7HmkiITip//znP6bAodME6ZQb7777rpVfUfpP/mpWAAAAkSG8Ou8BAAAKEMEJAADAIYITAACAQwQnAAAAhwhOAAAADhGcAAAAHCI4AQAAOERwAgAAcIjgBORR27ZtZeDAga7YbsuWLZOrrrpKihQpIt26dfNb+/WAt2PHjr3odo0YMUKuvvpqCWVnzpyROnXqmG1s27x5s7Ro0cIcYT7Y6xfq2/j999+XsmXLOr6/Hoi2Zs2a5oC1QDARnAAX+Pzzz6VDhw5SsWJFKV26tDmA9Lx583J93KBBg8yXZ0pKivkigv+8++675mCgeqBQ2/Dhw6VEiRLmwKH//e9/2dwBpAfcfuqpp8xBaYFgIjgBLvDNN9+Y4PT111+bX9Q33HCD3HzzzbJ27docH/fbb79Ju3btpHr16nn69Y7cvfnmm/Lggw9esL2vv/56E6hiY2PZjAHWu3dv+fbbb+Xnn39m2yNoCE5APh0+fFjuvfdeKVeunBQvXly6dOkiv/zyS6b7TJw4UWrUqGFuv+2222TMmDGZgo52iw0ePFiaN28udevWlZEjR5rz//znP1m+5vbt2yUqKkoOHjwof/nLX8xlu+K0dOlSufbaa80v9CpVqsizzz4r586dy7b9aWlpJqQVK1ZMateuLR999JGj9f7999+lZ8+eUr58eVOFadasmaxYsSLTfT744APT7VemTBlz32PHjnlumzt3rgkhuh00hNx0000mmPiuo1bjNEjqtmvcuLF8//33edq2SrfjNddcY7rYLr30Uvn73/+e4zZZs2aN/Prrr9K1a1fPMm2LhtoXXnjBXNauMrV7927p0aOHef91PW699VbTdtt9991nulH1Pa1cubJpm/36Tz/9tNl+Gnz/9a9/ZWqDVlYuv/xys17a5ueff17Onj2b43syefJkueKKK8x61q9fX95++23xV5egtk+7ykqWLCkPP/ywZGRkyOjRoyUuLk4qVaokL7/8cqbH6fug3cj62dD3p3///vLHH3/k+Fq5vU+6fVu1aiXTp0/P93oBF4vgBOSTfjGuXr1aZs+ebb7U9bjZN954o+dLTsfI9OvXTwYMGCDr1q0zlSXfLxlf58+fNyFDv1Szol9Ee/fuNd16Grr0sn5565e4vrYGsB9//FEmTJgg7733nrz00ks5tl+/6BctWiT//ve/zZethqmc6BdgmzZtZM+ePWa99bU0+Gm7bRqCvvjiC/nyyy/NSQPdK6+84rn9+PHjpqtx1apVpturUKFCJvh4P4caNmyY6aLRbadB4q677vJ8mTrZttrleffdd8vjjz8umzZtkqSkJBMyc3oPtAKor6Xb16bb+Morr5Qnn3zSXNY2nThxwoQ6DRP6mO+++85c7ty5sxkjZdNtq9tK76OBQsOIBkUNWxo2dR30tGvXLs9jSpUqZdqpbX7jjTdMQHz99dezbbPerttK10srMhrUNGxNmTJF8kvfyzlz5piwq6FFQ5SGSg3P+r6++uqr8txzz0lycrLnMfp+jhs3TjZs2GDaoNtAPyPZcfo+6Y8CrToBQWMByJM2bdpYAwYMMJe3bt1q6X+jZcuWeW4/cOCAVaxYMeuTTz4x13v06GF17do103P07t3bKlOmTLavMXr0aKt8+fLWvn37cmyLPsfkyZM914cOHWrVq1fPOn/+vGfZW2+9ZZUsWdLKyMi4oP1btmwx7U9OTvbc/+effzbLXn/99WxfNykpySpVqpR18ODBLG8fPny4Vbx4cSs9Pd2z7Omnn7YSEhKyfc60tDTzuuvXrzfXU1JSzPVJkyZ57rNx40azTNvodNu2bt3aGjlyZKb7fPDBB1aVKlWybYtun3bt2l2wvHHjxmbdbO+9994F2/v06dPm/Z83b5653qdPHys+Pt6z/ZU+RttlO3funFWiRAlr+vTpOX4mrrnmGs91bYe2x1ajRg1r2rRpmR7z4osvWi1btrTyI6v3slOnTlatWrUuWKdRo0Zl+zz6/yE2NtZzXT+3F/M+vfHGG+a1gWCh4gTkg/6yL1y4sCQkJGTqTqhXr55nHIYOJNZfyd58r3vTX/Rakfj4449NF0he26MDy7UryaaDm7VCpNWB7Nqv3Ww27eLx7urSSohWUeyT0upOkyZNsq2IKe2i06qJTbsNvStZWsXo1auX6ZLRyo52E6qdO3dmep5GjRpleg5lP4+TbWt3r3mvw0MPPWSqRloxysrJkydNd1Fu9Lm1S0/X035u3SanTp3K1O2olSqtwNi0y067sWzR0dHmc+O9fbT6p12Z2hWmz6vVI99tY9u/f7+pVj3wwAOZ1lMrjd7t8KZdst73zamK4/teavsbNGhwwTp5t3/x4sWmAlitWjXzWO3O1q5lrTRmty2dvE/apZzd+wYEQuGAvAoQprRbLrvldnjxvpzb4zQs6Zffp59+KomJiRfVnuxey3d5brfZ9MtMu6W86ZdXbnSKBG/6Gt7dcDquSrsctYupatWq5raGDRtm6uLyfR67nfbzONm2el8dK9O9e/cL2phdOKpQoYKsX78+13XU59YxOVmNC9M9JLNaB3s9cto+2uWlY8K03Z06dTJjxGbMmCH//Oc/s22H0m3pHeLtUJaVW265JdN9NeBkJ6/t37Fjh+ky1tD94osvmjCp3Zj62c5unJbT9+nQoUOZti0QaAQnIB/0V7eOt9FxKjpoVemv6q1bt5pBunYFZ+XKlZkep2Oisqo06UBvPfcelJzX9nz22WeZAsXy5cvNL/6svhi1jdp+bY9dqdEqzpEjRzz30aqXb+VLq0CTJk0yX2I5VZ2yo9tIq106jqV169ZmmX6x5pWTbdu0aVOzTjonk1NaTdPxYVkFM9/ntiuD3uOh8kvHbumeezpmyaZhJDta7dH3d9u2bWbPMyf0M+FdRfInfQ/0c6VBz65KffLJJzk+xun7pGOm9P0BgoWuOiAfdM833YtKuxT0i18HSesAV/0S0+XqscceM9MM6KBg3dtOw4IOtPX+QtawpF0Z+kWjEyympqaa09GjR/PUHt1zSbts9DV1ssZZs2aZuYd0ELZ3t4pNuxR1ILO2X8OfdpfoLvi5VZR0gLZ2IeneYvolr1/YGth893jLjr0Hms6VpF1dOnBY25hXTrbt3/72N5k6darp/ty4caMJbBp2dDBzdnTAt3Yp6f1zoiFFq1P6XmtXl86npYOldbB6Vl2jTml40G45rTJpV5sOsp45c2aOj9H1GzVqlBlIrsFdK2a6l51um0C77LLLTHDSKR30s6F7V77zzjs5Psbp+6TbuWPHjgW8BkD2CE5APumXk3bX6F5SOr5IqxT6ZW53ZegYI/3S0C8w3Z1e90x64oknMnU/6Be+ftE88sgjZhyPfdIv4LzQwKavrVUYfS3tKtHukZxCgrZfu8x0LzntJvnrX/+a69iqokWLyvz58839tEtGx+voHnPZdQv50hCnoUCDmnbP6fZ47bXXJK+cbFvt6tK9+hYsWGD2NtRgqvfXik52NNTptshtagadKkD3lNPd9PX+WsHTqqGOkcpPBUqDmK7Ho48+aqYC0KqhjnHKiQZerQLqnmj6fuj7qZftsWOBpG3Wbax72+n7q9tRQ11OnLxPGsz1x8Ttt98egLUAshalI8SzuQ1AAdEKj1aE2K3avdtWKzY6zswe/I3gu+OOO0w33dChQ4PdFEQwxjgBAfCPf/zD7GGkkwFqV5LOa+OPyQlRcNtWqzY6waPOceW9BxyCQ49Vp1VFrcQBwUTFCQiAO++8U5YsWWImtdTd73VsjnajgW0LILQQnAAAABxicDgAAIBDBCcAAACHCE4AAAAOEZwAAAAcIjgBAAA4RHACAABwiOAEAADgEMEJAADAIYITAACAOPP/ALRTYSK4XktCAAAAAElFTkSuQmCC",
"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 (female - male)')\n",
"ax.set_ylabel('-log10 p-value')\n",
"ax.set_title('Volcano plot')\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "6cdb8e60",
"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": "5bf9bdc1",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:12:58.290826Z",
"iopub.status.busy": "2026-04-20T19:12:58.290724Z",
"iopub.status.idle": "2026-04-20T19:12:58.568031Z",
"shell.execute_reply": "2026-04-20T19:12:58.567759Z"
}
},
"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
}