{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculate 2D PMFs from joint probability distributions\n", "We use **lipyphilic** to plot a two-dimensional potential of mean force (PMF) of cholesterol height and orientation in a planar bilayer. We will use the equimolar ternary mixture of DPPC, DOPC, and cholesterol studied by [Smith et al.](https://www.biorxiv.org/content/10.1101/2021.05.24.445501v3)\n", "\n", "First we will determine the height and orientation using `lipyphilic.lib.z_positions.ZPositions` and `lipyphilic.lib.z_angles.ZAngles`, respectively.\n", "\n", "Then we will use `lipyphilic.lib.plotting.JointDensity` to plot the two-dimensional PMF of height and orientation.\n", "\n", "Note\n", "----\n", "Using `lipyphilic.lib.plotting.JointDensity` to calculate the PMF of orientation and height is arbitrary - `JointDensity` can be used to plot the 2D PMF of any two observables.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import MDAnalysis as mda\n", "\n", "from lipyphilic.lib.z_positions import ZPositions\n", "from lipyphilic.lib.z_angles import ZAngles\n", "from lipyphilic.lib.plotting import JointDensity\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the topology and trajectory using MDAnalysis" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "u = mda.Universe(\"../datafiles/dppc-dopc-chol.tpr\", \"../datafiles/dppc-dopc-chol.xtc\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cholesterol height in the membrane\n", "\n", "We will first use `ZPositions` to calculate the height of each cholesterol molecule within the bilayer.\n", "\n", "We need to pass our universe, along with the following parameters:\n", "\n", "- `lipid_sel`: atom selection covering **all** lipids in the bilayer\n", "- `height_sel` : atom selection for the molecules for which the $z$ position will be calculated \n", "\n", "The midpoint of the bilayer will be calculated using the atoms selected by `lipid_sel`. Then, the signed distance in $z$ from the midpoint will be calculated for each molecule using the atoms selected bt `height_sel`.\n", "\n", "By default, a single membrane midpoint is used in the calculation. However, we will also use the optional `n_bins` keyword to split the membrane $n_{\\rm bins} * n_{\\rm bins}$ patches. A local membrane midpoint is calculated for each bilayer patch, and heights calculated based on signed distances to the relevant local membrane midpoint.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "height = ZPositions(\n", " universe=u,\n", " lipid_sel=\"name GL1 GL2 ROH\", # selects the glycerol backbone of phospholipids and hydroxyl group of cholesterol\n", " height_sel=\"name ROH\", # consider only cholesterol, ignore the phospholipids\n", " n_bins=10 # split the membrane into a 10 by 10 grid and cal\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then select which frames of the trajectory to analyse (`None` will use every frame) and choose to display a progress bar (`verbose=True`)::" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3fc846ee92d04e6da733d34d338f64b7", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/51 [00:00" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "height.run(\n", " start=None,\n", " stop=None,\n", " step=None,\n", " verbose=True\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cholesterol orientation in the membrane\n", "\n", "We will use `ZAngles` to calculate the orientation with respect to the positive $z$ axis of each cholesterol molecule in the bilayer.\n", "\n", "Two atoms must be selected per lipid, and the angle between the $z$ axis and the vector joining the two atoms will be calculated for each lipid. The\n", "vector will always point from atom B to atom A, even for lipids in the lower leaflet. This means the angle $\\theta_{ABz}$ will be in the range\n", "$-180° < \\theta < 180°$.\n", "\n", "We need to pass our universe, along with the following parameters:\n", "\n", "- `atom_A_sel` : atom selection for atom A in each lipid\n", "- `atom_B_sel` : atom selection for atom B in each lipid\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "angles = ZAngles(\n", " universe=u,\n", " atom_A_sel=\"name R5\", # cyclic ring nearest the aliphatic tail of cholesterol\n", " atom_B_sel=\"name ROH\" # hydroxyl headgroup of cholesterol\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then select which frames of the trajectory to analyse (`None` will use every frame) and choose to display a progress bar (`verbose=True`)::" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a3db50f21a944f49acf6bf21da8af7ae", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/51 [00:00" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "angles.run(start=-500, stop=None, step=None, verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot the height-orientation PMF\n", "\n", "We are now ready to plot the two-dimensional PMF of cholesterol orientation and height using `JointDensity`.\n", "\n", "We first need to **initialise our plotting object** by passing the results from `ZAngles` and `ZPositions` to the `ob1` and `ob2` keywords of `JointDensity`.\n", "\n", "Note, `ob1` and `ob2` can be any two observables, but they must have the same number of data points.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "pmf = JointDensity(\n", " ob1=angles.z_angles,\n", " ob2=height.z_positions\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To calculate the PMF, we must specifiy the temperature (in K) at which the simulation was performed. We pass this to the `calc_density_2D` function of `JointDensity`, which will create a two-dimensional histogram of the heights and orientations.\n", "\n", "We will also the number of bins to use in constructing the hisogram.\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "temperature = 300\n", "angle_bins = np.linspace(0, 180, 181)\n", "height_bins = np.linspace(-30, 30, 61)\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/paul/mambaforge/envs/lpp-tutorials/lib/python3.11/site-packages/lipyphilic/lib/plotting.py:407: RuntimeWarning: divide by zero encountered in log\n", " ln_density = np.log(density)\n" ] } ], "source": [ "pmf.calc_density_2D(\n", " bins=(angle_bins, height_bins),\n", " temperature=temperature\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will remove any NaN values from our histogram through a linear interpolation:\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "pmf.interpolate()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And finally, we will **plot the results**\n", "\n", "We specify the maximum allowed value of the PMF with `vmax`. All values above this cutoff will be coloured the same.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vmax = 10\n", "\n", "pmf.plot_density(\n", " vmax=vmax\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Control aesthetics\n", "\n", "There are many options that we can use to control the aesthetics of out plot. Below we will look at some of these options.\n", "\n", "**We can change the aesthetics of our plot without creating a new object - we simply need to call `plot_density` again**\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "title = \"PMF at 300 K\"\n", "xlabel = r\"$\\theta_Z\\ \\rm (\\degree)$\"\n", "ylabel= r\"$z\\ \\rm (\\AA)$\"\n", "\n", "# minimum and maximum values of the colourbar\n", "vmin = 0\n", "vmax = 10\n", "\n", "# label the first 2 contours with their values\n", "# This makes it easy to know the gradient across each contour\n", "contour_labels = [1, 2] # which contours to label\n", "clabel_kws = {\n", " \"fontsize\": 12, # font size of contour label\n", " \"inline\": True, # break the contour to write the label\n", " \"fmt\": \"%.1f\" # precision of contour value\n", "}\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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