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More linking between these notebooks.
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notebooks/00-pentapeptide-showcase.ipynb

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"We find that the committor is constant within the metastable sets defined above.\n",
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"Transition regions can be identified by committor values $\\approx 0.5$.\n",
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"\n",
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"## Computing experimental observables [➜ 📓](07-expectations-and-observables.ipynb)\n",
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"## Computing experimental observables [➜ 📓](06-expectations-and-observables.ipynb)\n",
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"\n",
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"Having thoroughly constructed, validated, and analyzed our MSM,\n",
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"we may want to take the next step and compare our model to experimental data.\n",
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"PyEMMA enables computation of stationary as well as dynamic experimental observables;\n",
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"below we give give some examples of this.\n",
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"We will make use of some external library functionality provided by MDTraj <a id=\"ref-9\" href=\"#cite-mdtraj\">mcgibbon-15</a>.\n",
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"\n",
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"Theoretical backgrounds can be found here:\n",
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"[Notebook 06](06-expectations-and-observables.ipynb) includes a brief summary of the theory used in below.\n",
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"More in-depth descriptions of the theory and their applications to various data can be found in the following references:\n",
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"- <a id=\"ref-10\" href=\"#cite-simon-amm\">olsson-17</a>\n",
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"- <a id=\"ref-11\" href=\"#cite-noe-fingerprints\">noe-11</a>\n",
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"- <a id=\"ref-12\" href=\"#cite-simon-mech-mod-nmr\">olsson-16</a>\n",
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"metadata": {},
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"source": [
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"As for the stationary expectation (ensemble averages) considered above,\n",
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"we can use our pre-computed SASA vector to compute the auto-correlation function of trypotophan flourescene using the MSM `correlation()` method:"
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"we can use our pre-computed SASA vector to compute the auto-correlation function of trypotophan flourescene using the MSM `correlation()` method (See [Notebook 06](06-expectations-and-observables.ipynb#Dynamic/kinetic-experimental-observables) for details):"
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]
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},
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{
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"Note the scale on the $y$-axis: this amplitude is likely too small to be experimentally measurable considering experimental uncertainty.\n",
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"\n",
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"However, using more advanced experimental setups such as stopped flow, T-jump, P-jump, and others,\n",
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"we can prepare our ensemble in a non-equilibrium initial condition.\n",
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"we can prepare our ensemble in a non-equilibrium initial condition. (See [Notebook 06](06-expectations-and-observables.ipynb#Dynamic/kinetic-experimental-observables) for details)\n",
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"\n",
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"Let us say we can experimentally prepare a sample to only be in metastable state $\\mathcal{S}_1$.\n",
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"In this case, the initial condition will be given by the metastable distribution of metastable state $\\mathcal{S}_1$, $p_0$.\n",

notebooks/06-expectations-and-observables.ipynb

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"We here compute the auto-correlation function of the distance between the amide and alpha protons."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": []
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},
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{
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"cell_type": "code",
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"execution_count": null,

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