diff --git a/notebooks/PrimaryDataAnalysis/PrimaryDataAnalysis.ipynb b/notebooks/PrimaryDataAnalysis/PrimaryDataAnalysis.ipynb new file mode 100644 index 0000000..251b3ac --- /dev/null +++ b/notebooks/PrimaryDataAnalysis/PrimaryDataAnalysis.ipynb @@ -0,0 +1,842 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e6ca13a6", + "metadata": {}, + "source": [ + "# Primary Data Analysis with SasView (scripts)\n", + "\n", + "This notebook reproduces the **Primary Data Analysis** tutorial from\n", + "[sastutorials.org](https://sastutorials.org/PrimaryDataAnalysis/PrimaryDataAnalysis.html)\n", + "using the SasView Python stack:\n", + "\n", + "* **`sasdata`** — loading the experimental scattering curves\n", + "* **`sasmodels`** + **`bumps`** — the Guinier model fit\n", + "* **`matplotlib`** / **`numpy`** — plotting and manual cross-checks\n", + "\n", + "*Original tutorial by Andreas Haahr Larsen, Martin Cramer Pedersen and Jeppe Breum Jacobsen.*\n", + "\n", + "**What we cover**\n", + "\n", + "1. Loading SAXS/SANS data with `sasdata`\n", + "2. **Guinier analysis** → radius of gyration $R_g$ and forward scattering $I(0)$\n", + "3. **Kratky plots** → assessing foldedness / flexibility\n", + "4. Three challenges (RNase A, MAP2, pH-dependent discoidal particles)\n", + "\n", + "> The **P(r) / indirect Fourier transform** part of the original tutorial is\n", + "> covered by another tutorial\n" + ] + }, + { + "cell_type": "markdown", + "id": "a0552292", + "metadata": {}, + "source": [ + "## Setup\n", + "\n", + "Import the SasView stack. If any package is missing, install with:\n", + "\n", + "```bash\n", + "pip install sasdata sasmodels bumps matplotlib numpy ipywidgets\n", + "```\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "94f5041c", + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [], + "source": [ + "import io\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import ipywidgets as widgets\n", + "from IPython.display import display\n", + "\n", + "from sasdata.dataloader.loader import Loader\n", + "from sasmodels.core import load_model\n", + "from sasmodels.bumps_model import Model, Experiment\n", + "from sasmodels.data import Data1D as SasData1D\n", + "from bumps.names import FitProblem\n", + "from bumps.fitters import fit\n", + "\n", + "DATA = \"data\" # folder containing the .dat files\n", + "plt.rcParams[\"figure.figsize\"] = (7, 4.5)\n", + "plt.rcParams[\"figure.dpi\"] = 110\n" + ] + }, + { + "cell_type": "markdown", + "id": "e510ba2e", + "metadata": {}, + "source": [ + "## 1. Loading data with `sasdata`\n", + "\n", + "`sasdata`'s `Loader` auto-detects the file format and returns a `Data1D`\n", + "object with `.x` ($q$), `.y` ($I$) and `.dy` (uncertainty on $I$).\n", + "\n", + "Our reference dataset is **lysozyme** (SASBDB entry `SASDMF2`).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a61946ea", + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loaded lysozyme: 222 points\n", + "q range: 0.0080 - 1.7200 1/A\n" + ] + } + ], + "source": [ + "loader = Loader()\n", + "\n", + "def load(name):\n", + " '''Load a 1D curve with sasdata and return (q, I, dI).'''\n", + " data = loader.load(f\"{DATA}/{name}\")[0]\n", + " q = np.asarray(data.x, dtype=float)\n", + " I = np.asarray(data.y, dtype=float)\n", + " dI = np.asarray(data.dy, dtype=float) if data.dy is not None else np.sqrt(np.abs(I))\n", + " return q, I, dI\n", + "\n", + "q, I, dI = load(\"SASDMF2.dat\")\n", + "print(f\"Loaded lysozyme: {len(q)} points\")\n", + "print(f\"q range: {q.min():.4f} - {q.max():.4f} 1/A\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "defef44f", + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.errorbar(q, I, yerr=dI, fmt=\".\", ms=3, lw=0.5, color=\"C0\", label=\"lysozyme (SASDMF2)\")\n", + "ax.set_xscale(\"log\"); ax.set_yscale(\"log\")\n", + "ax.set_xlabel(r\"$q\\ (\\AA^{-1})$\"); ax.set_ylabel(r\"$I(q)\\ (\\mathrm{cm}^{-1})$\")\n", + "ax.set_title(\"Experimental scattering curve\"); ax.legend()\n", + "plt.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "565a7720", + "metadata": {}, + "source": [ + "## 2. Guinier analysis\n", + "\n", + "At low $q$ the scattering of a monodisperse, dilute sample follows the\n", + "**Guinier approximation**\n", + "\n", + "$$I(q) \\approx I(0)\\,\\exp\\!\\left(-\\tfrac{1}{3}q^2 R_g^2\\right)\n", + "\\qquad\\Longleftrightarrow\\qquad\n", + "\\ln I(q) = \\ln I(0) - \\tfrac{R_g^2}{3}\\,q^2 .$$\n", + "\n", + "So a plot of $\\ln I$ vs $q^2$ is a straight line whose **slope** gives $R_g$\n", + "and whose **intercept** gives $I(0)$.\n", + "\n", + "The approximation is only valid in the low-$q$ *Guinier region*:\n", + "\n", + "* $qR_g \\le 1.3$ for globular particles\n", + "* $qR_g \\le 1.0$ for elongated particles\n", + "\n", + "Below, use the **$q_{\\min}$ / $q_{\\max}$ sliders** to choose the fitting\n", + "window. Watch $qR_g$ and the residuals: widen or narrow the range until the\n", + "fit stays linear and $qR_g$ respects the limits above.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "8bb234ae", + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "90b3d345a2bb4c22a636d7afebb3d883", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "VBox(children=(FloatSlider(value=0.008, continuous_update=False, description='qmin', layout=Layout(width='420p…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def guinier_fit(q, I, dI, qmin, qmax, min_pts=6):\n", + " '''Fit ln(I) vs q^2 by weighted linear least squares over [qmin, qmax].\n", + "\n", + " Returns (Rg, I0, mask, sigma_Rg, sigma_I0).'''\n", + " pos = I > 0\n", + " mask = (q >= qmin) & (q <= qmax) & pos\n", + " if mask.sum() < min_pts:\n", + " raise ValueError(\n", + " f\"Need at least {min_pts} positive points in \"\n", + " f\"[{qmin:.4f}, {qmax:.4f}], got {mask.sum()}\")\n", + " x = q[mask] ** 2\n", + " y = np.log(I[mask])\n", + " w = I[mask] / dI[mask] # weight ~ 1/sigma(ln I)\n", + " p, cov = np.polyfit(x, y, 1, w=w, cov=True)\n", + " if p[0] >= 0:\n", + " raise ValueError(\"Fit slope is non-negative; Guinier region invalid\")\n", + " rg = np.sqrt(-3.0 * p[0])\n", + " I0 = np.exp(p[1])\n", + " sigma_rg = (np.sqrt(cov[0, 0]) * 3.0 / (2.0 * rg)\n", + " if cov[0, 0] > 0 else np.nan)\n", + " sigma_I0 = I0 * np.sqrt(cov[1, 1])\n", + " return rg, I0, mask, sigma_rg, sigma_I0\n", + "\n", + "\n", + "def guinier_figure(q, I, dI, mask, rg, I0, title=\"\"):\n", + " '''Build a Guinier plot figure (caller must close it).\n", + "\n", + " Labels intentionally avoid matplotlib mathtext ($...$), which is\n", + " unreliable inside ipywidgets Output contexts in some Jupyter setups.\n", + " '''\n", + " x = q**2\n", + " lnI = np.log(np.where(I > 0, I, np.nan))\n", + " line = np.log(I0) - (rg**2 / 3.0) * x\n", + " fig, (ax1, ax2) = plt.subplots(\n", + " 2, 1, sharex=True, gridspec_kw={\"height_ratios\": [3, 1]},\n", + " constrained_layout=True)\n", + " ax1.plot(x, lnI, \".\", ms=4, color=\"0.6\", label=\"all data\")\n", + " ax1.plot(x[mask], lnI[mask], \"o\", ms=4, color=\"C0\",\n", + " label=\"Guinier region\")\n", + " xr = np.linspace(0, x[mask].max(), 50)\n", + " ax1.plot(xr, np.log(I0) - (rg**2 / 3.0) * xr, \"-\", color=\"C3\",\n", + " label=f\"fit: Rg={rg:.2f} Å, I0={I0:.1f}\")\n", + " ax1.set_ylabel(\"ln I(q)\"); ax1.legend(); ax1.set_title(title)\n", + " ax1.set_xlim(0, x[mask].max() * 1.6)\n", + "\n", + " resid = (lnI[mask] - line[mask]) * (I[mask] / dI[mask])\n", + " ax2.plot(x[mask], resid, \"o\", ms=4, color=\"C0\")\n", + " ax2.axhline(0, color=\"C3\", lw=1)\n", + " ax2.set_xlabel(\"q² (Å⁻²)\")\n", + " ax2.set_ylabel(\"norm.\\nresid.\")\n", + " return fig\n", + "\n", + "\n", + "def guinier_plot(q, I, dI, mask, rg, I0, title=\"\"):\n", + " '''Show a Guinier plot (non-interactive cells).'''\n", + " fig = guinier_figure(q, I, dI, mask, rg, I0, title=title)\n", + " plt.show()\n", + " plt.close(fig)\n", + "\n", + "\n", + "def _fig_to_png(fig):\n", + " buf = io.BytesIO()\n", + " fig.savefig(buf, format=\"png\", dpi=110)\n", + " plt.close(fig)\n", + " buf.seek(0)\n", + " return buf.read()\n", + "\n", + "\n", + "def interactive_guinier(q, I, dI, title=\"\", qmin0=None, qmax0=None):\n", + " '''Sliders for qmin/qmax; refits and replots the Guinier analysis.\n", + "\n", + " Returns a dict updated live with rg, I0, mask, s_rg, s_I0, qmin, qmax.\n", + " '''\n", + " q_pos = q[I > 0]\n", + " q_lo, q_hi = float(q_pos.min()), float(q_pos.max())\n", + " if qmin0 is None:\n", + " qmin0 = q_lo\n", + " if qmax0 is None:\n", + " qmax0 = float(q_pos[min(len(q_pos) - 1, max(12, len(q_pos) // 8))])\n", + " step = max((q_hi - q_lo) / 300, 1e-5)\n", + "\n", + " state = {}\n", + " qmin_s = widgets.FloatSlider(\n", + " value=qmin0, min=q_lo, max=q_hi, step=step,\n", + " description=\"qmin\", readout_format=\".4f\",\n", + " continuous_update=False, style={\"description_width\": \"40px\"},\n", + " layout=widgets.Layout(width=\"420px\"))\n", + " qmax_s = widgets.FloatSlider(\n", + " value=qmax0, min=q_lo, max=q_hi, step=step,\n", + " description=\"qmax\", readout_format=\".4f\",\n", + " continuous_update=False, style={\"description_width\": \"40px\"},\n", + " layout=widgets.Layout(width=\"420px\"))\n", + " info = widgets.HTML(value=\"\")\n", + " image = widgets.Image(format=\"png\", layout=widgets.Layout(width=\"770px\"))\n", + "\n", + " def _update(_=None):\n", + " qmin, qmax = float(qmin_s.value), float(qmax_s.value)\n", + " if qmin >= qmax:\n", + " info.value = \"Require qmin < qmax\"\n", + " return\n", + " try:\n", + " rg, I0, mask, s_rg, s_I0 = guinier_fit(q, I, dI, qmin, qmax)\n", + " except ValueError as exc:\n", + " info.value = f\"{exc}\"\n", + " return\n", + " state.update(rg=rg, I0=I0, mask=mask, s_rg=s_rg, s_I0=s_I0,\n", + " qmin=qmin, qmax=qmax)\n", + " qRg = q[mask] * rg\n", + " notes = \"\"\n", + " if qRg[-1] > 1.3:\n", + " notes = \"
Note: qRg_max > 1.3 (typical globular limit)\"\n", + " elif qRg[-1] > 1.0:\n", + " notes = (\"
Note: qRg_max > 1.0 \"\n", + " \"(elongated-particle limit)\")\n", + " info.value = (\n", + " \"
Linear Guinier fit:\\n\"\n",
+    "            f\"  Rg   = {rg:6.2f} +/- {s_rg:.2f} A\\n\"\n",
+    "            f\"  I(0) = {I0:6.2f} +/- {s_I0:.2f} cm^-1\\n\"\n",
+    "            f\"  Region: {mask.sum()} pts, \"\n",
+    "            f\"q = {qmin:.4f} - {qmax:.4f} 1/A, \"\n",
+    "            f\"qRg = {qRg[0]:.2f} - {qRg[-1]:.2f}
{notes}\"\n", + " )\n", + " fig = guinier_figure(q, I, dI, mask, rg, I0, title=title)\n", + " image.value = _fig_to_png(fig)\n", + "\n", + " qmin_s.observe(_update, names=\"value\")\n", + " qmax_s.observe(_update, names=\"value\")\n", + " display(widgets.VBox([qmin_s, qmax_s, info, image]))\n", + " _update()\n", + " return state\n", + "\n", + "\n", + "# Lysozyme: adjust qmin/qmax until the Guinier region looks linear\n", + "# and qRg stays within the globular limit (~1.3).\n", + "lyso = interactive_guinier(q, I, dI, title=\"Lysozyme Guinier analysis\",\n", + " qmin0=float(q[I > 0][0]), qmax0=0.09)\n" + ] + }, + { + "cell_type": "markdown", + "id": "f11bab49", + "metadata": {}, + "source": [ + "### The same fit with the SasView `guinier` model\n", + "\n", + "The manual linear fit above is transparent, but SasView ships a proper\n", + "`guinier` model. We fit it (via `bumps`) to exactly the same $q$-region so the\n", + "two approaches can be cross-checked.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "604c59fc", + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SasView guinier model (q = 0.0080 - 0.0900):\n", + " Rg = 14.41 A\n", + " I(0) = 42.56 cm^-1\n", + "\n", + "Lysozyme reference Rg ~ 14-15 A -> consistent.\n" + ] + } + ], + "source": [ + "GUINIER = load_model(\"guinier\") # load once and reuse across fits\n", + "\n", + "def sasview_guinier_fit(q, I, dI, mask, rg0, I0_0):\n", + " '''Fit the sasmodels 'guinier' model over the selected region.'''\n", + " sd = SasData1D(q[mask], I[mask]); sd.dy = dI[mask]\n", + " model = Model(GUINIER, scale=I0_0, rg=rg0)\n", + " model.rg.range(1, 500)\n", + " model.scale.range(0, 1e9)\n", + " problem = FitProblem(Experiment(data=sd, model=model))\n", + " fit(problem, method=\"lm\", verbose=False)\n", + " return model.rg.value, model.scale.value\n", + "\n", + "# Uses the q-region currently selected by the sliders above.\n", + "rg_lin, I0_lin, mask = lyso[\"rg\"], lyso[\"I0\"], lyso[\"mask\"]\n", + "rg_sv, I0_sv = sasview_guinier_fit(q, I, dI, mask, rg_lin, I0_lin)\n", + "print(f\"SasView guinier model (q = {lyso['qmin']:.4f} - {lyso['qmax']:.4f}):\")\n", + "print(f\" Rg = {rg_sv:6.2f} A\")\n", + "print(f\" I(0) = {I0_sv:6.2f} cm^-1\")\n", + "print(f\"\\nLysozyme reference Rg ~ 14-15 A -> consistent.\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "ed864243", + "metadata": {}, + "source": [ + "### Reading the interactive Guinier plot\n", + "\n", + "The top panel shows $\\ln I$ vs $q^2$ with the fitted line; the fitted region\n", + "is highlighted. The bottom panel shows normalised residuals — they should\n", + "scatter randomly around zero inside the Guinier region. Systematic curvature\n", + "at low $q$ would hint at aggregation or interparticle interference.\n", + "\n", + "Move the sliders, then **re-run the SasView cell above** if you want the\n", + "model cross-check on the new window.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "9d70a2d8", + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Current slider window: q = 0.0080 - 0.0900 1/A\n", + " linear Rg = 14.41 A, SasView Rg = 14.41 A\n" + ] + } + ], + "source": [ + "# Convenience aliases used by later cells (Kratky, challenges).\n", + "rg_lin, I0_lin, mask = lyso[\"rg\"], lyso[\"I0\"], lyso[\"mask\"]\n", + "print(f\"Current slider window: q = {lyso['qmin']:.4f} - {lyso['qmax']:.4f} 1/A\")\n", + "print(f\" linear Rg = {rg_lin:.2f} A, SasView Rg = {rg_sv:.2f} A\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "647e73d0", + "metadata": {}, + "source": [ + "## 3. Kratky plot\n", + "\n", + "The **Kratky plot** — $q^2 I(q)$ vs $q$ — emphasises the mid-$q$ region\n", + "and reports on **compactness/flexibility**:\n", + "\n", + "* a **folded, globular** particle gives a clear **bell-shaped peak** that\n", + " decays back toward the baseline;\n", + "* an **unfolded / flexible / extended** chain gives a monotonically rising\n", + " plateau at high $q$.\n", + "\n", + "The **dimensionless (normalised) Kratky plot**, $(qR_g)^2 I(q)/I(0)$ vs $qR_g$,\n", + "lets curves from different particles be compared directly. For an ideal\n", + "globular particle the peak sits at $qR_g=\\sqrt{3}\\approx1.73$ with height\n", + "$3/e\\approx1.10$ (the Guinier–Kratky reference point).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "0859ada0", + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The peak near qRg ~ sqrt(3) confirms lysozyme is compact and folded.\n" + ] + } + ], + "source": [ + "def kratky(q, I, ax=None, label=None, **kw):\n", + " ax = ax or plt.gca()\n", + " ax.plot(q, q**2 * I, \"-\", label=label, **kw)\n", + " ax.set_xlabel(r\"$q\\ (\\AA^{-1})$\"); ax.set_ylabel(r\"$q^2\\,I(q)$\")\n", + " return ax\n", + "\n", + "def dimensionless_kratky(q, I, rg, I0, ax=None, label=None, **kw):\n", + " ax = ax or plt.gca()\n", + " ax.plot(q*rg, (q*rg)**2 * I / I0, \"-\", label=label, **kw)\n", + " ax.set_xlabel(r\"$qR_g$\"); ax.set_ylabel(r\"$(qR_g)^2\\,I(q)/I(0)$\")\n", + " return ax\n", + "\n", + "fig, (axa, axb) = plt.subplots(1, 2, figsize=(12, 4.5))\n", + "kratky(q, I, ax=axa, label=\"lysozyme\", color=\"C0\")\n", + "axa.set_title(\"Kratky plot\"); axa.legend()\n", + "\n", + "dimensionless_kratky(q, I, rg_sv, I0_sv, ax=axb, label=\"lysozyme\", color=\"C0\")\n", + "axb.axvline(np.sqrt(3), color=\"0.7\", ls=\"--\", lw=1)\n", + "axb.axhline(3/np.e, color=\"0.7\", ls=\"--\", lw=1)\n", + "axb.plot(np.sqrt(3), 3/np.e, \"kx\", ms=9, label=\"globular reference\")\n", + "axb.set_title(\"Dimensionless Kratky plot\"); axb.legend()\n", + "plt.tight_layout(); plt.show()\n", + "\n", + "print(\"The peak near qRg ~ sqrt(3) confirms lysozyme is compact and folded.\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "d7d5b933", + "metadata": {}, + "source": [ + "## Challenges\n", + "\n", + "Apply the same Guinier / Kratky tools to three new datasets.\n", + "For each challenge, **write down your own conclusions** before moving on —\n", + "the notebook will not tell you the “right” answer.\n" + ] + }, + { + "cell_type": "markdown", + "id": "3fb9bf68", + "metadata": {}, + "source": [ + "### Challenge 1 — RNase A (SANS in D$_2$O)\n", + "\n", + "Load `RNAseA.dat` and determine $R_g$ (and $I(0)$) from a Guinier analysis.\n", + "\n", + "**Questions to consider**\n", + "\n", + "* Which $q_{\\min}$–$q_{\\max}$ window gives a linear Guinier region with\n", + " trustworthy residuals?\n", + "* What $R_g$ do you obtain, and is $qR_g$ within the usual limit for a\n", + " compact particle?\n", + "* How does your $R_g$ compare with lysozyme from earlier in the notebook?\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "834ba1bd", + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "ed865d85edc9473e92b0686957430e4e", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "VBox(children=(FloatSlider(value=0.012, continuous_update=False, description='qmin', layout=Layout(width='420p…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SasView cross-check: Rg = 13.64 A, I(0) = 1.00\n" + ] + } + ], + "source": [ + "q1, I1, dI1 = load(\"RNAseA.dat\")\n", + "rnase = interactive_guinier(q1, I1, dI1, title=\"Challenge 1: RNase A\",\n", + " qmin0=float(q1[I1 > 0][0]), qmax0=0.10)\n", + "\n", + "# Optional: cross-check the current slider window with the SasView guinier model\n", + "rg1, I01, mask1 = rnase[\"rg\"], rnase[\"I0\"], rnase[\"mask\"]\n", + "rg1_sv, I01_sv = sasview_guinier_fit(q1, I1, dI1, mask1, rg1, I01)\n", + "print(f\"SasView cross-check: Rg = {rg1_sv:.2f} A, I(0) = {I01_sv:.2f}\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "f9bd28a7", + "metadata": {}, + "source": [ + "### Challenge 2 — MAP2 (folding state)\n", + "\n", + "Analyse `map2.dat`. Estimate $R_g$ from a Guinier fit, then compare its\n", + "**Kratky** (and dimensionless Kratky) plot with lysozyme.\n", + "\n", + "**Questions to consider**\n", + "\n", + "* Is the Guinier region well behaved? Which $qR_g$ cutoff seems appropriate?\n", + "* Does the Kratky plot look like that of a compact, globular particle?\n", + "* What does that suggest about the conformational state of MAP2?\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "382623eb", + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "0a7099f044eb4bb29814dc5085489e41", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "VBox(children=(FloatSlider(value=0.03082862, continuous_update=False, description='qmin', layout=Layout(width=…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "q2, I2, dI2 = load(\"map2.dat\")\n", + "map2 = interactive_guinier(q2, I2, dI2, title=\"Challenge 2: MAP2\",\n", + " qmin0=float(q2[I2 > 0][0]), qmax0=0.08)\n", + "rg2, I02 = map2[\"rg\"], map2[\"I0\"]\n", + "\n", + "fig, (axa, axb) = plt.subplots(1, 2, figsize=(12, 4.5))\n", + "dimensionless_kratky(q, I, rg_sv, I0_sv, ax=axa,\n", + " label=\"lysozyme\", color=\"C0\")\n", + "dimensionless_kratky(q2, I2, rg2, I02, ax=axa, label=\"MAP2\", color=\"C1\")\n", + "axa.axvline(np.sqrt(3), color=\"0.7\", ls=\"--\", lw=1)\n", + "axa.plot(np.sqrt(3), 3 / np.e, \"kx\", ms=9, label=\"globular reference\")\n", + "axa.set_title(\"Dimensionless Kratky: lysozyme vs MAP2\"); axa.legend()\n", + "\n", + "kratky(q2, I2, ax=axb, label=\"MAP2\", color=\"C1\")\n", + "axb.set_title(\"MAP2 Kratky plot\"); axb.legend()\n", + "plt.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "a39d258c", + "metadata": {}, + "source": [ + "### Challenge 3 — pH-dependent discoidal particles\n", + "\n", + "Compare simulated SAXS from discoidal particles at **neutral** and **low** pH\n", + "(`SAXS_neutral_pH.dat`, `SAXS_low_pH.dat`).\n", + "\n", + "**Questions to consider**\n", + "\n", + "* How do $R_g$ and $I(0)$ change between the two conditions?\n", + "* Do the low-$q$ shapes of the curves differ (upturn, suppression, …)?\n", + "* What physical picture is consistent with your observations\n", + " (size change, aggregation, interparticle interactions, …)?\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "67142101", + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Neutral pH — choose a Guinier window:\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "73a82ded46fd4a96924b4644a0d2e5be", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "VBox(children=(FloatSlider(value=0.001, continuous_update=False, description='qmin', layout=Layout(width='420p…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Low pH — choose a Guinier window:\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "3b2ca064112742ef93a1aec872cc1a05", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "VBox(children=(FloatSlider(value=0.001, continuous_update=False, description='qmin', layout=Layout(width='420p…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "qn, In, dIn = load(\"SAXS_neutral_pH.dat\")\n", + "ql, Il, dIl = load(\"SAXS_low_pH.dat\")\n", + "\n", + "print(\"Neutral pH — choose a Guinier window:\")\n", + "neut = interactive_guinier(qn, In, dIn, title=\"Challenge 3: neutral pH\",\n", + " qmin0=float(qn[In > 0][0]), qmax0=0.06)\n", + "print(\"Low pH — choose a Guinier window:\")\n", + "low = interactive_guinier(ql, Il, dIl, title=\"Challenge 3: low pH\",\n", + " qmin0=float(ql[Il > 0][0]), qmax0=0.06)\n", + "\n", + "rgn, I0n, maskn = neut[\"rg\"], neut[\"I0\"], neut[\"mask\"]\n", + "rgl, I0l, maskl = low[\"rg\"], low[\"I0\"], low[\"mask\"]\n", + "\n", + "fig, (axa, axb) = plt.subplots(1, 2, figsize=(12, 4.5))\n", + "axa.errorbar(qn, In, yerr=dIn, fmt=\".\", ms=3, lw=0.4, color=\"C0\",\n", + " label=\"neutral pH\")\n", + "axa.errorbar(ql, Il, yerr=dIl, fmt=\".\", ms=3, lw=0.4, color=\"C3\",\n", + " label=\"low pH\")\n", + "axa.set_xscale(\"log\"); axa.set_yscale(\"log\")\n", + "axa.set_xlabel(r\"$q\\ (\\AA^{-1})$\"); axa.set_ylabel(r\"$I(q)$\")\n", + "axa.set_title(\"Scattering curves\"); axa.legend()\n", + "\n", + "xr = np.linspace(0, (1.3 / min(rgn, rgl))**2, 50)\n", + "for (qq, II, mm, rg, I0, c, lb) in [\n", + " (qn, In, maskn, rgn, I0n, \"C0\", \"neutral\"),\n", + " (ql, Il, maskl, rgl, I0l, \"C3\", \"low\")]:\n", + " p = II > 0\n", + " axb.plot(qq[p]**2, np.log(II[p]), \".\", ms=3, color=c, alpha=0.4)\n", + " axb.plot(qq[mm]**2, np.log(II[mm]), \"o\", ms=4, color=c, label=f\"{lb} pH\")\n", + " axb.plot(xr, np.log(I0) - (rg**2 / 3.0) * xr, \"-\", color=c, lw=1)\n", + "axb.set_xlim(0, xr.max()); axb.set_xlabel(r\"$q^2\\ (\\AA^{-2})$\")\n", + "axb.set_ylabel(r\"$\\ln I$\"); axb.set_title(\"Guinier comparison\"); axb.legend()\n", + "plt.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "d49ce510", + "metadata": {}, + "source": [ + "## Summary\n", + "\n", + "**Workflow recap**\n", + "\n", + "1. Load curves with **`sasdata`** (format auto-detected).\n", + "2. **Guinier**: choose $q_{\\min}$ / $q_{\\max}$ with the sliders → $R_g$, $I(0)$;\n", + " optionally cross-check with the SasView **`guinier`** model.\n", + "3. **Kratky** (and dimensionless Kratky) to judge compactness / flexibility.\n", + "\n", + "Use the challenges to practise reading Guinier windows and Kratky shapes —\n", + "your notes from those questions are the takeaway, not a filled-in answer key.\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/PrimaryDataAnalysis/data/RNAseA.dat b/notebooks/PrimaryDataAnalysis/data/RNAseA.dat new file mode 100644 index 0000000..20eef2c --- /dev/null +++ b/notebooks/PrimaryDataAnalysis/data/RNAseA.dat @@ -0,0 +1,127 @@ +Sample description: +Sample: c= 0 mg/ml Code: +Parent(s): D-RNaseA-OE.dat D-RNaseA_SECSANS_rg-adj.dat + 1.200000e-002 9.819515e-001 4.828638e-002 + 1.400000e-002 1.000348e+000 1.870083e-002 + 1.600000e-002 9.774719e-001 2.005648e-002 + 1.800000e-002 1.017094e+000 1.866047e-002 + 2.000000e-002 9.901674e-001 1.203979e-002 + 2.200000e-002 9.661932e-001 1.598277e-002 + 2.400000e-002 9.725727e-001 1.516858e-002 + 2.600000e-002 9.660634e-001 1.011379e-002 + 2.800000e-002 9.578457e-001 1.361507e-002 + 3.000000e-002 9.425442e-001 1.321713e-002 + 3.200000e-002 9.403071e-001 8.970908e-003 + 3.400000e-002 9.307011e-001 1.224085e-002 + 3.600000e-002 9.408600e-001 1.187647e-002 + 3.800000e-002 9.028401e-001 8.077045e-003 + 4.000000e-002 8.769017e-001 6.512319e-003 + 4.200000e-002 9.005620e-001 1.084648e-002 + 4.400000e-002 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1.360000e+000 3.458500e-001 1.108600e-001 + 1.390000e+000 3.010900e-001 1.111300e-001 + 1.420000e+000 3.299800e-001 1.016900e-001 + 1.450000e+000 3.029400e-001 1.044900e-001 + 1.480000e+000 2.799300e-001 1.024100e-001 + 1.510000e+000 2.277400e-001 1.047700e-001 + 1.540000e+000 2.208500e-001 1.076100e-001 + 1.570000e+000 1.949600e-001 1.161600e-001 + 1.600000e+000 1.707800e-001 2.640400e-001 + 1.630000e+000 1.683100e-001 1.163800e-001 + 1.660000e+000 1.305400e-001 1.454900e-001 + 1.690000e+000 2.379000e-002 1.292800e-001 + 1.720000e+000 5.983000e-002 1.357800e-001 +range-from: 1 +range-to: 222 +transmitted beam intensity from WAXS (q~1.74): 1907.740982 diff --git a/notebooks/PrimaryDataAnalysis/data/SAXS_low_pH.dat b/notebooks/PrimaryDataAnalysis/data/SAXS_low_pH.dat new file mode 100644 index 0000000..71c8117 --- /dev/null +++ b/notebooks/PrimaryDataAnalysis/data/SAXS_low_pH.dat @@ -0,0 +1,403 @@ +# Simulated data +# sigma generated using Sedlak et al, k=100000, c=0.55, https://doi.org/10.1107/S1600576717003077, and rebinned with 10 per bin) +# q I sigma + 1.00000e-03 2.94939e-01 1.16629e-02 + 2.25063e-03 2.94495e-01 7.76785e-03 + 3.50125e-03 3.10638e-01 6.21889e-03 + 4.75188e-03 2.94517e-01 5.32711e-03 + 6.00251e-03 3.00483e-01 4.72700e-03 + 7.25313e-03 2.97591e-01 4.28593e-03 + 8.50376e-03 2.93513e-01 3.94266e-03 + 9.75439e-03 2.90346e-01 3.66447e-03 + 1.10050e-02 2.87609e-01 3.43215e-03 + 1.22556e-02 2.89219e-01 3.23353e-03 + 1.35063e-02 2.79980e-01 3.06053e-03 + 1.47569e-02 2.75793e-01 2.90753e-03 + 1.60075e-02 2.76247e-01 2.77050e-03 + 1.72581e-02 2.70406e-01 2.64645e-03 + 1.85088e-02 2.64676e-01 2.53313e-03 + 1.97594e-02 2.62454e-01 2.42882e-03 + 2.10100e-02 2.53628e-01 2.33215e-03 + 2.22607e-02 2.50576e-01 2.24204e-03 + 2.35113e-02 2.43228e-01 2.15763e-03 + 2.47619e-02 2.40331e-01 2.07822e-03 + 2.60125e-02 2.35232e-01 2.00322e-03 + 2.72632e-02 2.23368e-01 1.93216e-03 + 2.85138e-02 2.22210e-01 1.86464e-03 + 2.97644e-02 2.18010e-01 1.80032e-03 + 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4.89995e-01 9.32600e-05 3.95598e-05 + 4.91246e-01 5.98471e-05 3.95189e-05 + 4.92496e-01 1.94711e-05 3.94780e-05 + 4.93747e-01 -3.25585e-05 3.94371e-05 + 4.94997e-01 3.86950e-05 3.93962e-05 + 4.96248e-01 -2.24232e-05 3.93550e-05 + 4.97499e-01 -7.39086e-07 3.93137e-05 + 4.98749e-01 2.72452e-05 3.92722e-05 + 5.00000e-01 4.25920e-05 3.92304e-05 diff --git a/notebooks/PrimaryDataAnalysis/data/SAXS_neutral_pH.dat b/notebooks/PrimaryDataAnalysis/data/SAXS_neutral_pH.dat new file mode 100644 index 0000000..cb12358 --- /dev/null +++ b/notebooks/PrimaryDataAnalysis/data/SAXS_neutral_pH.dat @@ -0,0 +1,403 @@ +# Simulated data +# sigma generated using Sedlak et al, k=100000, c=0.55, https://doi.org/10.1107/S1600576717003077, and rebinned with 10 per bin) +# q I sigma + 1.00000e-03 3.06812e-02 4.24472e-03 + 2.25063e-03 3.00806e-02 2.82906e-03 + 3.50125e-03 3.38809e-02 2.26769e-03 + 4.75188e-03 2.97966e-02 1.94590e-03 + 6.00251e-03 3.11197e-02 1.73062e-03 + 7.25313e-03 3.74162e-02 1.57354e-03 + 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1.17813e-04 8.23069e-05 diff --git a/notebooks/PrimaryDataAnalysis/data/map2.dat b/notebooks/PrimaryDataAnalysis/data/map2.dat new file mode 100644 index 0000000..bc81f17 --- /dev/null +++ b/notebooks/PrimaryDataAnalysis/data/map2.dat @@ -0,0 +1,1055 @@ +# [2] +# Sample c= 6.0 mg/ml +# Intensity scaled by concentration +# Buffer subtracted data file: +# Protein DatFile = /data/visitor/mx1888/bm29/20170421/Map2c/1d/map2c_046_ave.dat +# Buffer DatFile = /data/visitor/mx1888/bm29/20170421/Map2c/ednaSub/map2c_046_ave_averbuffer.dat +# +# AutoRg: Rg = 7.8971 +/- 0.65 ( 8.2%) +# AutoRg: I(0) = 50.37 +/- 0.2025 +# AutoRg: Points 11 to 26 ( 16 total) +# AutoRg: Quality: 79.2% +# +# +# Sample Information: +# Storage Temperature (degrees C): 20.0 +# Measurement Temperature (degrees C): 19.96 +# Concentration: 6.0 +# Code: null +3.082862000000000102e-02 1.574844e+01 2.324828e+00 +3.557148999999999728e-02 4.925519e+01 1.374330e+00 +4.031434999999999880e-02 5.447496e+01 9.041025e-01 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