examples/loopExtrusion/extrusion_1D_newCode.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## This is an example for doing 1D loop extrusion simulations \n",
    "\n",
    "The class is designed to be very flexible and easy to modify. It provides several small tools to make efficient simulations, and shows how to deal with LEF states, with two legs, etc. \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
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   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import h5py \n",
    "\n",
    "class leg(object):\n",
    "    def __init__(self, pos, attrs={\"stalled\":False, \"CTCF\":False}):\n",
    "        \"\"\"\n",
    "        A leg has two important attribues: pos (positions) and attrs (a custom list of attributes)\n",
    "        \"\"\"\n",
    "        self.pos = pos\n",
    "        self.attrs = dict(attrs)\n",
    "\n",
    "class cohesin(object):\n",
    "    \"\"\"\n",
    "    A cohesin class provides fast access to attributes and positions \n",
    "    \n",
    "    \n",
    "    cohesin.left is a left leg of cohesin, cohesin.right is a right leg\n",
    "    cohesin[-1] is also a left leg and cohesin[1] is a right leg         \n",
    "    \n",
    "    Also, cohesin.any(\"myattr\") is True if myattr==True in at least one leg\n",
    "    cohesin.all(\"myattr\") is if myattr=True in both legs\n",
    "    \"\"\"\n",
    "    def __init__(self, leg1, leg2):\n",
    "        self.left = leg1\n",
    "        self.right = leg2\n",
    "   \n",
    "    def any(self, attr):\n",
    "        return self.left.attrs[attr] or self.right.attrs[attr]\n",
    "    \n",
    "    def all(self, attr):\n",
    "        return self.left.attrs[attr] and self.right.attrs[attr]    \n",
    "    \n",
    "    def __getitem__(self, item):\n",
    "        if item == -1:\n",
    "            return self.left\n",
    "        elif item == 1:\n",
    "            return self.right \n",
    "        else:\n",
    "            raise ValueError()\n",
    "        \n",
    "\n",
    "def unloadProb(cohesin, args):\n",
    "    \"\"\"\n",
    "    Defines unload probability based on a state of cohesin \n",
    "    \"\"\"\n",
    "    if cohesin.any(\"stalled\"):\n",
    "        # if one side is stalled, we have different unloading probability \n",
    "        # Note that here we define stalled cohesins as those stalled not at CTCFs \n",
    "        return 1 / args[\"LIFETIME_STALLED\"]\n",
    "    # otherwise we are just simply unloading \n",
    "    return 1 / args[\"LIFETIME\"]    \n",
    "    \n",
    "\n",
    "\n",
    "def loadOne(cohesins, occupied, args): \n",
    "    \"\"\"\n",
    "    A function to load one cohesin \n",
    "    \"\"\"\n",
    "    while True:\n",
    "        a = np.random.randint(args[\"N\"])\n",
    "        if (occupied[a] == 0) and (occupied[a+1] == 0):\n",
    "            occupied[a] = 1\n",
    "            occupied[a+1] = 1 \n",
    "            cohesins.append(cohesin(leg(a), leg(a+1)))\n",
    "            break\n",
    "\n",
    "\n",
    "def capture(cohesin, occupied, args):\n",
    "    \"\"\"\n",
    "    We are describing CTCF capture here. \n",
    "    This function is specific to this particular project, and \n",
    "    users are encouraged to write functions like this \n",
    "    \n",
    "    Note the for-loop over left/right sites below, and using cohesin[side] \n",
    "    to get left/right leg. \n",
    "    \n",
    "    Also note how I made ctcfCapture a dict with -1 coding for left side, and 1 for right side \n",
    "    and ctcfCapture are dicts as well: keys are locations, and values are probabilities of capture\n",
    "    \"\"\"    \n",
    "    for side in [1, -1]:\n",
    "        # get probability of capture or otherwise it is 0 \n",
    "        if np.random.random() < args[\"ctcfCapture\"][side].get(cohesin[side].pos, 0):  \n",
    "            cohesin[side].attrs[\"CTCF\"] = True  # captured a cohesin at CTCF     \n",
    "    return cohesin \n",
    "\n",
    "\n",
    "def release(cohesin, occupied, args):\n",
    "    \n",
    "    \"\"\"\n",
    "    AN opposite to capture - releasing cohesins from CTCF \n",
    "    \"\"\"\n",
    "    \n",
    "    if not cohesin.any(\"CTCF\"):\n",
    "        return cohesin  # no CTCF: no release necessary \n",
    "        \n",
    "    # attempting to release either side \n",
    "    for side in [-1, 1]: \n",
    "        if (np.random.random() < args[\"ctcfRelease\"][side].get(cohesin[side].pos, 0)) and (cohesin[side].attrs[\"CTCF\"]):\n",
    "            cohesin[side].attrs[\"CTCF\"] = False \n",
    "    return cohesin \n",
    "\n",
    "\n",
    "def translocate(cohesins, occupied, args):\n",
    "    \"\"\"\n",
    "    This function describes everything that happens with cohesins - \n",
    "    loading/unloading them and stalling against each other \n",
    "    \n",
    "    It relies on the functions defined above: unload probability, capture/release. \n",
    "    \"\"\"\n",
    "    # first we try to unload cohesins and free the matching occupied sites \n",
    "    for i in range(len(cohesins)):\n",
    "        prob = unloadProb(cohesins[i], args)\n",
    "        if np.random.random() < prob:\n",
    "            occupied[cohesins[i].left.pos] = 0 \n",
    "            occupied[cohesins[i].right.pos] = 0 \n",
    "            del cohesins[i]\n",
    "            loadOne(cohesins, occupied, args)\n",
    "    \n",
    "    # then we try to capture and release them by CTCF sites \n",
    "    for i in range(len(cohesins)):\n",
    "        cohesins[i] = capture(cohesins[i], occupied, args)\n",
    "        cohesins[i] = release(cohesins[i], occupied, args)\n",
    "    \n",
    "    # finally we translocate, and mark stalled cohesins because \n",
    "    # the unloadProb needs this \n",
    "    for i in range(len(cohesins)):\n",
    "        cohesin = cohesins[i] \n",
    "        for leg in [-1,1]: \n",
    "            if not cohesin[leg].attrs[\"CTCF\"]: \n",
    "                # cohesins that are not at CTCFs and cannot move are labeled as stalled \n",
    "                if occupied[cohesin[leg].pos  + leg] != 0:\n",
    "                    cohesin[leg].attrs[\"stalled\"] = True\n",
    "                else:\n",
    "                    cohesin[leg].attrs[\"stalled\"] = False \n",
    "                    occupied[cohesin[leg].pos] = 0\n",
    "                    occupied[cohesin[leg].pos + leg] = 1\n",
    "                    cohesin[leg].pos += leg        \n",
    "        cohesins[i] = cohesin\n",
    "        \n",
    "def color(cohesins, args):\n",
    "    \"A helper function that converts a list of cohesins to an array colored by cohesin state\"    \n",
    "    def state(attrs):\n",
    "        if attrs[\"stalled\"]:\n",
    "            return 2\n",
    "        if attrs[\"CTCF\"]:\n",
    "            return 3\n",
    "        return 1\n",
    "    ar = np.zeros(args[\"N\"])\n",
    "    for i in cohesins:\n",
    "        ar[i.left.pos] = state(i.left.attrs)\n",
    "        ar[i.right.pos] = state(i.right.attrs)  \n",
    "    return ar "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A toy simulation with two cohesins and 2 CTF sites "
   ]
  },
  {
   "cell_type": "code",
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       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f17e2d9fda0>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SMCs = 2\n",
    "args = {}\n",
    "N = 200    # two SMCs in a 200-monomer long simulation \n",
    "\n",
    "ctcfLeftCapture = {50:0.5}  # at position 50 we have a CTCF that  travelling left with 50% prob\n",
    "ctcfRightCapture = {150:0.5}  # and at 150 - those travelling right \n",
    "ctcfLeftRelease = {50:0.02}     # and we release them with 0.02 probability each step (on average 50 step residence time)\n",
    "ctcfRightRelease = {150:0.02}  \n",
    "\n",
    "args[\"ctcfRelease\"] = {-1:ctcfLeftRelease, 1:ctcfRightRelease}  # this is how we feed the dictionaries of capture/release probabilities to our code \n",
    "args[\"ctcfCapture\"] = {-1:ctcfLeftCapture, 1:ctcfRightCapture}        \n",
    "args[\"N\"] = N \n",
    "args[\"LIFETIME\"] = 100\n",
    "args[\"LIFETIME_STALLED\"] = 10 # in this code, if you are stalled, you have 10 times lower lifetime \n",
    "# but if you are stalled at CTCF, you don't \n",
    "# try to find this in the image below and verify that it works\n",
    "\n",
    "occupied = np.zeros(N)\n",
    "occupied[0] = 1\n",
    "occupied[-1] = 1 \n",
    "cohesins = []\n",
    "\n",
    "for i in range(SMCs):\n",
    "    loadOne(cohesins,occupied, args)\n",
    "\n",
    "pos = []\n",
    "for i in range(300):\n",
    "    for _ in range(3):\n",
    "        translocate(cohesins, occupied, args)\n",
    "    pos.append(color(cohesins, args))\n",
    "    \n",
    "%matplotlib notebook\n",
    "import matplotlib.pyplot as plt \n",
    "plt.figure(figsize=(8,15))\n",
    "plt.imshow(np.array(pos))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## This will be a full-scale simulation, but we're going to visualize some trajectory first "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "50"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "Now building the real system and testing that it works (displaying the first 2000 monomers out of 40,000)\n",
    "\"\"\"\n",
    "\n",
    "N1 = 4000 # size of one system \n",
    "M = 10 \n",
    "N = N1 * M \n",
    "\n",
    "LIFETIME = 200 \n",
    "SEPARATION = 800\n",
    "LEFNum = N // SEPARATION \n",
    "trajectoryLength = 100000\n",
    "\n",
    "TADs = [300,800,1500,2300,2900,3400]\n",
    "\n",
    "ctcfLeftRelease = {}\n",
    "ctcfRightRelease = {}\n",
    "ctcfLeftCapture = {}\n",
    "ctcfRightCapture = {}\n",
    "\n",
    "for i in range(M):\n",
    "    for tad in TADs:\n",
    "        pos = i * N1 + tad \n",
    "        ctcfLeftCapture[pos] = 0.9  # 80% capture probability \n",
    "        ctcfLeftRelease[pos] = 0.003  # hold it for ~300 blocks on average\n",
    "        ctcfRightCapture[pos] = 0.9\n",
    "        ctcfRightRelease[pos] = 0.003\n",
    "       \n",
    "args = {}\n",
    "args[\"ctcfRelease\"] = {-1:ctcfLeftRelease, 1:ctcfRightRelease}\n",
    "args[\"ctcfCapture\"] = {-1:ctcfLeftCapture, 1:ctcfRightCapture}        \n",
    "args[\"N\"] = N \n",
    "args[\"LIFETIME\"] = LIFETIME\n",
    "args[\"LIFETIME_STALLED\"] = LIFETIME  # no change in lifetime when stalled \n",
    "\n",
    "occupied = np.zeros(N)\n",
    "occupied[0] = 1\n",
    "occupied[-1] = 1 \n",
    "\n",
    "cohesins = []\n",
    "for i in range(LEFNum):\n",
    "    loadOne(cohesins,occupied, args)\n",
    "\n",
    "pos = []\n",
    "for i in range(500):\n",
    "    for _ in range(3):\n",
    "        translocate(cohesins, occupied, args)\n",
    "    pos.append(color(cohesins, args))\n",
    "    \n",
    "%matplotlib notebook\n",
    "import matplotlib.pyplot as plt \n",
    "plt.figure(figsize=(10,15))\n",
    "plt.imshow(np.array(pos)[:, 600:1200])\n",
    "len(cohesins)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Doing actual simulation now - saving a trajectory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os \n",
    "if not os.path.exists(\"trajectory\"):\n",
    "    os.mkdir(\"trajectory\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "occupied = np.zeros(N)\n",
    "occupied[0] = 1\n",
    "occupied[-1] = 1 \n",
    "cohesins = []\n",
    "\n",
    "for i in range(LEFNum):\n",
    "    loadOne(cohesins,occupied, args)\n",
    "\n",
    "with h5py.File(\"trajectory/LEFPositions.h5\", mode='w') as myfile:\n",
    "    \n",
    "    dset = myfile.create_dataset(\"positions\", \n",
    "                                 shape=(trajectoryLength, LEFNum, 2), \n",
    "                                 dtype=np.int32, \n",
    "                                 compression=\"gzip\")\n",
    "    steps = 50    # saving in 50 chunks because the whole trajectory may be large \n",
    "    bins = np.linspace(0, trajectoryLength, steps, dtype=int) # chunks boundaries \n",
    "    for st,end in zip(bins[:-1], bins[1:]):\n",
    "        cur = []\n",
    "        for i in range(st, end):\n",
    "            translocate(cohesins, occupied, args)  # actual step of LEF dynamics \n",
    "            positions = [(cohesin.left.pos, cohesin.right.pos) for cohesin in cohesins]\n",
    "            cur.append(positions)  # appending current positions to an array \n",
    "        cur = np.array(cur)  # when we finished a block of positions, save it to HDF5 \n",
    "        dset[st:end] = cur\n",
    "    myfile.attrs[\"N\"] = N\n",
    "    myfile.attrs[\"LEFNum\"] = LEFNum\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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