\"],_default:[0,\"\",\"\"]};function ve(e,t){var n;return n=void 0!==e.getElementsByTagName?e.getElementsByTagName(t||\"*\"):void 0!==e.querySelectorAll?e.querySelectorAll(t||\"*\"):[],void 0===t||t&&N(e,t)?b.merge([e],n):n}function ye(e,t){for(var n=0,r=e.length;n-1)i&&i.push(o);else if(l=ie(o),a=ve(f.appendChild(o),\"script\"),l&&ye(a),n)for(c=0;o=a[c++];)he.test(o.type||\"\")&&n.push(o);return f}me=r.createDocumentFragment().appendChild(r.createElement(\"div\")),(xe=r.createElement(\"input\")).setAttribute(\"type\",\"radio\"),xe.setAttribute(\"checked\",\"checked\"),xe.setAttribute(\"name\",\"t\"),me.appendChild(xe),h.checkClone=me.cloneNode(!0).cloneNode(!0).lastChild.checked,me.innerHTML=\"\",h.noCloneChecked=!!me.cloneNode(!0).lastChild.defaultValue;var Te=/^key/,Ce=/^(?:mouse|pointer|contextmenu|drag|drop)|click/,Ee=/^([^.]*)(?:\\.(.+)|)/;function ke(){return!0}function Se(){return!1}function Ne(e,t){return e===function(){try{return r.activeElement}catch(e){}}()==(\"focus\"===t)}function Ae(e,t,n,r,i,o){var a,s;if(\"object\"==typeof t){for(s in\"string\"!=typeof n&&(r=r||n,n=void 0),t)Ae(e,s,n,r,t[s],o);return e}if(null==r&&null==i?(i=n,r=n=void 0):null==i&&(\"string\"==typeof n?(i=r,r=void 0):(i=r,r=n,n=void 0)),!1===i)i=Se;else if(!i)return e;return 1===o&&(a=i,(i=function(e){return b().off(e),a.apply(this,arguments)}).guid=a.guid||(a.guid=b.guid++)),e.each(function(){b.event.add(this,t,i,r,n)})}function De(e,t,n){n?(Y.set(e,t,!1),b.event.add(e,t,{namespace:!1,handler:function(e){var r,i,a=Y.get(this,t);if(1&e.isTrigger&&this[t]){if(a.length)(b.event.special[t]||{}).delegateType&&e.stopPropagation();else if(a=o.call(arguments),Y.set(this,t,a),r=n(this,t),this[t](),a!==(i=Y.get(this,t))||r?Y.set(this,t,!1):i={},a!==i)return e.stopImmediatePropagation(),e.preventDefault(),i.value}else a.length&&(Y.set(this,t,{value:b.event.trigger(b.extend(a[0],b.Event.prototype),a.slice(1),this)}),e.stopImmediatePropagation())}})):void 0===Y.get(e,t)&&b.event.add(e,t,ke)}b.event={global:{},add:function(e,t,n,r,i){var o,a,s,u,l,c,f,p,d,h,g,v=Y.get(e);if(v)for(n.handler&&(n=(o=n).handler,i=o.selector),i&&b.find.matchesSelector(re,i),n.guid||(n.guid=b.guid++),(u=v.events)||(u=v.events={}),(a=v.handle)||(a=v.handle=function(t){return void 0!==b&&b.event.triggered!==t.type?b.event.dispatch.apply(e,arguments):void 0}),l=(t=(t||\"\").match(P)||[\"\"]).length;l--;)d=g=(s=Ee.exec(t[l])||[])[1],h=(s[2]||\"\").split(\".\").sort(),d&&(f=b.event.special[d]||{},d=(i?f.delegateType:f.bindType)||d,f=b.event.special[d]||{},c=b.extend({type:d,origType:g,data:r,handler:n,guid:n.guid,selector:i,needsContext:i&&b.expr.match.needsContext.test(i),namespace:h.join(\".\")},o),(p=u[d])||((p=u[d]=[]).delegateCount=0,f.setup&&!1!==f.setup.call(e,r,h,a)||e.addEventListener&&e.addEventListener(d,a)),f.add&&(f.add.call(e,c),c.handler.guid||(c.handler.guid=n.guid)),i?p.splice(p.delegateCount++,0,c):p.push(c),b.event.global[d]=!0)},remove:function(e,t,n,r,i){var o,a,s,u,l,c,f,p,d,h,g,v=Y.hasData(e)&&Y.get(e);if(v&&(u=v.events)){for(l=(t=(t||\"\").match(P)||[\"\"]).length;l--;)if(d=g=(s=Ee.exec(t[l])||[])[1],h=(s[2]||\"\").split(\".\").sort(),d){for(f=b.event.special[d]||{},p=u[d=(r?f.delegateType:f.bindType)||d]||[],s=s[2]&&new RegExp(\"(^|\\\\.)\"+h.join(\"\\\\.(?:.*\\\\.|)\")+\"(\\\\.|$)\"),a=o=p.length;o--;)c=p[o],!i&&g!==c.origType||n&&n.guid!==c.guid||s&&!s.test(c.namespace)||r&&r!==c.selector&&(\"**\"!==r||!c.selector)||(p.splice(o,1),c.selector&&p.delegateCount--,f.remove&&f.remove.call(e,c));a&&!p.length&&(f.teardown&&!1!==f.teardown.call(e,h,v.handle)||b.removeEvent(e,d,v.handle),delete u[d])}else for(d in u)b.event.remove(e,d+t[l],n,r,!0);b.isEmptyObject(u)&&Y.remove(e,\"handle events\")}},dispatch:function(e){var t,n,r,i,o,a,s=b.event.fix(e),u=new Array(arguments.length),l=(Y.get(this,\"events\")||{})[s.type]||[],c=b.event.special[s.type]||{};for(u[0]=s,t=1;t=1))for(;l!==this;l=l.parentNode||this)if(1===l.nodeType&&(\"click\"!==e.type||!0!==l.disabled)){for(o=[],a={},n=0;n-1:b.find(i,this,null,[l]).length),a[i]&&o.push(r);o.length&&s.push({elem:l,handlers:o})}return l=this,u\\x20\\t\\r\\n\\f]*)[^>]*)\\/>/gi,qe=/"
],
"text/plain": [
"Column\n",
" [0] Row(width=450)\n",
" [0] FloatSlider(end=100, name='β', start=1, value=10)\n",
" [1] FloatSlider(end=5, name='n', start=1, value=3)\n",
" [2] FloatSlider(end=100, name='t_max', start=1, step=1, value=40)\n",
" [1] Spacer(height=10)\n",
" [2] ParamFunction(function)"
]
},
"execution_count": 5,
"metadata": {
"application/vnd.holoviews_exec.v0+json": {
"id": "1398"
}
},
"output_type": "execute_result"
}
],
"source": [
"def repressilator_rhs(x, t, beta, n):\n",
" \"\"\"\n",
" Returns 3-array of (dx_1/dt, dx_2/dt, dx_3/dt)\n",
" \"\"\"\n",
" x_1, x_2, x_3 = x\n",
"\n",
" return np.array(\n",
" [\n",
" beta / (1 + x_3 ** n) - x_1,\n",
" beta / (1 + x_1 ** n) - x_2,\n",
" beta / (1 + x_2 ** n) - x_3,\n",
" ]\n",
" )\n",
"\n",
"\n",
"# Initial condiations\n",
"x0 = np.array([1, 1, 1.2])\n",
"\n",
"# Number of points to use in plots\n",
"n_points = 1000\n",
"\n",
"# Sliders\n",
"beta_slider = pn.widgets.FloatSlider(\n",
" name=\"β\", start=1, end=100, step=0.1, value=10\n",
")\n",
"n_slider = pn.widgets.FloatSlider(name=\"n\", start=1, end=5, step=0.1, value=3)\n",
"t_max_slider = pn.widgets.FloatSlider(\n",
" name=\"t_max\", start=1, end=100, step=1, value=40\n",
")\n",
"\n",
"# Build the plot\n",
"@pn.depends(\n",
" beta_slider.param.value, n_slider.param.value, t_max_slider.param.value\n",
")\n",
"def repressilator_plot(beta, n, t_max):\n",
" # Solve for species concentrations\n",
" t = np.linspace(0, t_max, n_points)\n",
" x = scipy.integrate.odeint(repressilator_rhs, x0, t, args=(beta, n))\n",
"\n",
" colors = bokeh.palettes.d3[\"Category10\"][3]\n",
"\n",
" p = bokeh.plotting.figure(\n",
" frame_width=550, frame_height=200, x_axis_label=\"t\", x_range=[0, t_max]\n",
" )\n",
"\n",
" for i, x_vals in enumerate(x.transpose()):\n",
" p.line(\n",
" t, x_vals, line_width=2, color=colors[i], legend_label=str(i + 1)\n",
" )\n",
"\n",
" p.legend.location = \"top_left\"\n",
"\n",
" return p\n",
"\n",
"\n",
"pn.Column(\n",
" pn.Row(beta_slider, n_slider, t_max_slider, width=450),\n",
" pn.Spacer(height=10),\n",
" repressilator_plot,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Trajectory in phase space\n",
"\n",
"It is also instructive to plot the trajectory of the system as a projection in the $x_2$-$x_1$ plane (or in either of the other two planes this three-dimensional system can be projected onto).\n",
"\n",
"When the fixed point is stable, the trajectory in the $x_2$-$x_1$ plane spirals into the fixed point. When it is unstable, the trajectory spirals away from it, eventually cycling around the fixed point to join a limit cycle.\n",
"\n",
"*Note that to interact with this plot, you need to be running this Jupyter notebook; the plot is lost in the static HTML rendering.*"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-05T00:52:06.419046Z",
"start_time": "2019-06-05T00:52:06.397990Z"
},
"tags": [
"hide_input"
]
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.holoviews_exec.v0+json": "",
"text/html": [
"
\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"
\n",
""
],
"text/plain": [
"Column\n",
" [0] Row(width=350)\n",
" [0] FloatSlider(end=100, name='β', start=1, value=10)\n",
" [1] FloatSlider(end=5, name='n', start=1, value=3)\n",
" [2] FloatSlider(end=100, name='t_max', start=1, step=1, value=40)\n",
" [1] Spacer(height=10)\n",
" [2] ParamFunction(function)"
]
},
"execution_count": 6,
"metadata": {
"application/vnd.holoviews_exec.v0+json": {
"id": "1593"
}
},
"output_type": "execute_result"
}
],
"source": [
"@pn.depends(\n",
" beta_slider.param.value, n_slider.param.value, t_max_slider.param.value\n",
")\n",
"def phase_traj_plot(beta, n, t_max):\n",
" # Solve for species concentrations\n",
" t = np.linspace(0, t_max, n_points)\n",
" x = scipy.integrate.odeint(repressilator_rhs, x0, t, args=(beta, n))\n",
" x1, x2, x3 = x.transpose()\n",
"\n",
" # Solve for fixed point\n",
" x_fp = fixed_point(beta, n)\n",
"\n",
" colors = bokeh.palettes.d3[\"Category10\"][3]\n",
"\n",
" p = bokeh.plotting.figure(\n",
" frame_width=300,\n",
" frame_height=300,\n",
" x_axis_label=\"x₁\",\n",
" y_axis_label=\"x₂\",\n",
" )\n",
"\n",
" p.circle(x_fp, x_fp, color=\"black\", size=12)\n",
" p.line(x1, x2, line_width=2)\n",
"\n",
" return p\n",
"\n",
"\n",
"pn.Column(\n",
" pn.Row(beta_slider, n_slider, t_max_slider, width=350),\n",
" pn.Spacer(height=10),\n",
" phase_traj_plot,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The limit cycle in 3D\n",
"\n",
"Finally, here is a simple three-dimensional plot of the limit cycle in the space of the three protein concentrations."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-05T00:52:06.824005Z",
"start_time": "2019-06-05T00:52:06.423504Z"
},
"tags": [
"hide_input"
]
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 231,
"width": 349
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Resolve problem for β = 20 and n = 3\n",
"t = np.linspace(0, 50, 1000)\n",
"x = scipy.integrate.odeint(repressilator_rhs, x0, t, args=(20, 3))\n",
"\n",
"# Generate the plot\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection=\"3d\")\n",
"ax.view_init(30, 30)\n",
"ax.plot(x[:, 0], x[:, 1], x[:, 2])\n",
"ax.set_xlabel(\"x₁\")\n",
"ax.set_ylabel(\"x₂\")\n",
"ax.set_zlabel(\"x₃\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Linear stability analysis provides insight into repressilator design\n",
"\n",
"It is useful to make a **linear stability diagram**, which is a map of parameter space highlighting stable and unstable regions. We know the bifurcation line is\n",
"\n",
"\\begin{align}\n",
"\\beta = \\frac{n}{2}\\left(\\frac{n}{2} - 1\\right)^{-\\frac{n+1}{n}}\n",
"\\end{align}\n",
"\n",
"We can plot this line and delineate the regions of stability and instability. It clearly shows that, from a design point of view, it is desirable to make both $n$ and $\\beta$ as high as possible."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-05T00:52:06.901929Z",
"start_time": "2019-06-05T00:52:06.827613Z"
},
"tags": [
"hide_input"
]
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/javascript": [
"(function(root) {\n",
" function embed_document(root) {\n",
" \n",
" var docs_json = {\"e1c5cb72-11d9-416c-a926-581cd08bc391\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"1739\",\"type\":\"LinearAxis\"}],\"center\":[{\"id\":\"1743\",\"type\":\"Grid\"},{\"id\":\"1748\",\"type\":\"Grid\"}],\"left\":[{\"id\":\"1744\",\"type\":\"LogAxis\"}],\"plot_height\":300,\"plot_width\":400,\"renderers\":[{\"id\":\"1765\",\"type\":\"GlyphRenderer\"},{\"id\":\"1770\",\"type\":\"GlyphRenderer\"},{\"id\":\"1775\",\"type\":\"GlyphRenderer\"},{\"id\":\"1780\",\"type\":\"GlyphRenderer\"}],\"title\":{\"id\":\"1807\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"1755\",\"type\":\"Toolbar\"},\"x_range\":{\"id\":\"1731\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"1735\",\"type\":\"LinearScale\"},\"y_range\":{\"id\":\"1733\",\"type\":\"Range1d\"},\"y_scale\":{\"id\":\"1737\",\"type\":\"LogScale\"}},\"id\":\"1730\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[201]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[201]}},\"selected\":{\"id\":\"1814\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"1813\",\"type\":\"UnionRenderers\"}},\"id\":\"1762\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_width\":4,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1768\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"1749\",\"type\":\"PanTool\"},{\"attributes\":{},\"id\":\"1811\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{\"text_color\":{\"value\":\"black\"},\"x\":{\"value\":2.1},\"y\":{\"value\":2}},\"id\":\"1773\",\"type\":\"Text\"},{\"attributes\":{\"text_alpha\":{\"value\":0.1},\"text_color\":{\"value\":\"black\"},\"x\":{\"value\":2.1},\"y\":{\"value\":2}},\"id\":\"1774\",\"type\":\"Text\"},{\"attributes\":{},\"id\":\"1750\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"1812\",\"type\":\"BoxAnnotation\"},{\"attributes\":{\"overlay\":{\"id\":\"1812\",\"type\":\"BoxAnnotation\"}},\"id\":\"1751\",\"type\":\"BoxZoomTool\"},{\"attributes\":{\"callback\":null,\"data\":{\"text\":[\"stable\"]},\"selected\":{\"id\":\"1818\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"1817\",\"type\":\"UnionRenderers\"}},\"id\":\"1772\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"1813\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1735\",\"type\":\"LinearScale\"},{\"attributes\":{\"data_source\":{\"id\":\"1772\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"1773\",\"type\":\"Text\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1774\",\"type\":\"Text\"},\"selection_glyph\":null,\"view\":{\"id\":\"1776\",\"type\":\"CDSView\"}},\"id\":\"1775\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"1752\",\"type\":\"SaveTool\"},{\"attributes\":{},\"id\":\"1814\",\"type\":\"Selection\"},{\"attributes\":{\"callback\":null,\"end\":2000,\"start\":1},\"id\":\"1733\",\"type\":\"Range1d\"},{\"attributes\":{},\"id\":\"1753\",\"type\":\"ResetTool\"},{\"attributes\":{},\"id\":\"1815\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"data_source\":{\"id\":\"1762\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"1763\",\"type\":\"Patch\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1764\",\"type\":\"Patch\"},\"selection_glyph\":null,\"view\":{\"id\":\"1766\",\"type\":\"CDSView\"}},\"id\":\"1765\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"1816\",\"type\":\"Selection\"},{\"attributes\":{\"data_source\":{\"id\":\"1767\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"1768\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1769\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"1771\",\"type\":\"CDSView\"}},\"id\":\"1770\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"1754\",\"type\":\"HelpTool\"},{\"attributes\":{\"text_color\":{\"value\":\"black\"},\"x\":{\"value\":2.5},\"y\":{\"value\":100}},\"id\":\"1778\",\"type\":\"Text\"},{\"attributes\":{},\"id\":\"1817\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1737\",\"type\":\"LogScale\"},{\"attributes\":{\"text_alpha\":{\"value\":0.1},\"text_color\":{\"value\":\"black\"},\"x\":{\"value\":2.5},\"y\":{\"value\":100}},\"id\":\"1779\",\"type\":\"Text\"},{\"attributes\":{},\"id\":\"1818\",\"type\":\"Selection\"},{\"attributes\":{\"axis_label\":\"n\",\"formatter\":{\"id\":\"1811\",\"type\":\"BasicTickFormatter\"},\"ticker\":{\"id\":\"1740\",\"type\":\"BasicTicker\"}},\"id\":\"1739\",\"type\":\"LinearAxis\"},{\"attributes\":{\"fill_alpha\":0.1,\"fill_color\":\"#1f77b4\",\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1764\",\"type\":\"Patch\"},{\"attributes\":{\"dimension\":1,\"ticker\":{\"id\":\"1745\",\"type\":\"LogTicker\"}},\"id\":\"1748\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"1819\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1740\",\"type\":\"BasicTicker\"},{\"attributes\":{\"fill_alpha\":0.7,\"fill_color\":\"lightgray\",\"line_alpha\":0.7,\"line_color\":\"lightgray\",\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1763\",\"type\":\"Patch\"},{\"attributes\":{},\"id\":\"1820\",\"type\":\"Selection\"},{\"attributes\":{\"ticker\":{\"id\":\"1740\",\"type\":\"BasicTicker\"}},\"id\":\"1743\",\"type\":\"Grid\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[200]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[200]}},\"selected\":{\"id\":\"1816\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"1815\",\"type\":\"UnionRenderers\"}},\"id\":\"1767\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"1745\",\"type\":\"LogTicker\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":4,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1769\",\"type\":\"Line\"},{\"attributes\":{\"axis_label\":\"\\u03b2\",\"formatter\":{\"id\":\"1809\",\"type\":\"LogTickFormatter\"},\"ticker\":{\"id\":\"1745\",\"type\":\"LogTicker\"}},\"id\":\"1744\",\"type\":\"LogAxis\"},{\"attributes\":{\"data_source\":{\"id\":\"1777\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"1778\",\"type\":\"Text\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1779\",\"type\":\"Text\"},\"selection_glyph\":null,\"view\":{\"id\":\"1781\",\"type\":\"CDSView\"}},\"id\":\"1780\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"source\":{\"id\":\"1767\",\"type\":\"ColumnDataSource\"}},\"id\":\"1771\",\"type\":\"CDSView\"},{\"attributes\":{\"source\":{\"id\":\"1772\",\"type\":\"ColumnDataSource\"}},\"id\":\"1776\",\"type\":\"CDSView\"},{\"attributes\":{\"ticker\":null},\"id\":\"1809\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"source\":{\"id\":\"1777\",\"type\":\"ColumnDataSource\"}},\"id\":\"1781\",\"type\":\"CDSView\"},{\"attributes\":{\"callback\":null,\"data\":{\"text\":[\"unstable (limit cycle oscillations)\"]},\"selected\":{\"id\":\"1820\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"1819\",\"type\":\"UnionRenderers\"}},\"id\":\"1777\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"callback\":null,\"end\":5,\"start\":2},\"id\":\"1731\",\"type\":\"Range1d\"},{\"attributes\":{\"text\":\"\"},\"id\":\"1807\",\"type\":\"Title\"},{\"attributes\":{\"source\":{\"id\":\"1762\",\"type\":\"ColumnDataSource\"}},\"id\":\"1766\",\"type\":\"CDSView\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"1749\",\"type\":\"PanTool\"},{\"id\":\"1750\",\"type\":\"WheelZoomTool\"},{\"id\":\"1751\",\"type\":\"BoxZoomTool\"},{\"id\":\"1752\",\"type\":\"SaveTool\"},{\"id\":\"1753\",\"type\":\"ResetTool\"},{\"id\":\"1754\",\"type\":\"HelpTool\"}]},\"id\":\"1755\",\"type\":\"Toolbar\"}],\"root_ids\":[\"1730\"]},\"title\":\"Bokeh Application\",\"version\":\"1.4.0\"}};\n",
" var render_items = [{\"docid\":\"e1c5cb72-11d9-416c-a926-581cd08bc391\",\"roots\":{\"1730\":\"b7089780-0849-4038-b502-4a36ec01db87\"}}];\n",
" root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
"\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
" var attempts = 0;\n",
" var timer = setInterval(function(root) {\n",
" if (root.Bokeh !== undefined) {\n",
" clearInterval(timer);\n",
" embed_document(root);\n",
" } else {\n",
" attempts++;\n",
" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
"metadata": {
"application/vnd.bokehjs_exec.v0+json": {
"id": "1730"
}
},
"output_type": "display_data"
}
],
"source": [
"# Get bifurcation line\n",
"n = np.linspace(2.01, 5, 200)\n",
"beta = n / 2 * (n / 2 - 1) ** (-(1 + 1 / n))\n",
"\n",
"# Build the plot\n",
"p = bokeh.plotting.figure(\n",
" height=300,\n",
" width=400,\n",
" x_axis_label=\"n\",\n",
" y_axis_label=\"β\",\n",
" y_axis_type=\"log\",\n",
" x_range=[2, 5],\n",
" y_range=[1, 2000],\n",
")\n",
"p.patch(\n",
" np.append(n, n[-1]), np.append(beta, beta[0]), color=\"lightgray\", alpha=0.7\n",
")\n",
"p.line(n, beta, line_width=4, color=\"black\")\n",
"p.text(x=2.1, y=2, text=[\"stable\"])\n",
"p.text(x=2.5, y=100, text=[\"unstable (limit cycle oscillations)\"])\n",
"\n",
"bokeh.io.show(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Intuition from the protein-only model\n",
"\n",
"This analysis shows two conditions that favor oscillations:\n",
"\n",
"* High Hill coefficients \n",
"* Strong promoters\n",
"\n",
"In fact, these results can be understood intuitively: oscillations occur when the feedback \"overshoots.\" The sharper and stronger the response as one goes around the complete feedback loop, the longer and higher a pulse in one factor can grow before it is, inevitably, yanked back down by the feedback. Consistent with this view, there is a tradeoff between the length of the cycle (number of repressors in the loop) and the minimum Hill coefficient required [Elowitz, PhD thesis, 1999](https://catalog.princeton.edu/catalog/2244277)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Including mRNA and protein in the model provides additional insights\n",
"\n",
"In the above analysis, we only considered the three proteins. Now, we will consider the mRNA dynamics explicitly as well. We will again assume a symmetry among the various genes, wherein all promoters have the same strength and all repressors have the same Hill coefficient $n$ and Hill activation constant $k$. The dynamical equations are then\n",
"\n",
"\\begin{align}\n",
"\\frac{\\mathrm{d}m_i}{\\mathrm{d}t} &= \\alpha + \\frac{\\beta_m}{1 + (x_j/k)^n} - \\gamma_m m_i,\\\\[1em]\n",
"\\frac{\\mathrm{d}x_i}{\\mathrm{d}t} &= \\beta_p m_i - \\gamma_p x_i, \\\\[1em]\n",
"\\end{align}\n",
"\n",
"with $i,j$ pairs $(1,3), (2,1), (3,2)$. Here, we have introduced $\\rho$ to allow for leaky transcription. In dimensionless units, these equations are\n",
"\n",
"\\begin{align}\n",
"\\frac{\\mathrm{d}m_i}{\\mathrm{d}t} &= \\beta\\left(\\rho + \\frac{1}{1 + x_j^n}\\right) - m_i, \\\\[1em]\n",
"\\gamma^{-1}\\,\\frac{\\mathrm{d}x_i}{\\mathrm{d}t} &= m_i - x_i,\n",
"\\end{align}\n",
"\n",
"where $\\gamma \\equiv \\gamma_p/\\gamma_m$ is the ratio of the two timescales in the system–the protein and mRNA degradation/decay rates, $\\beta = \\beta_m\\beta_p/\\gamma_m\\gamma_p k$ is a dimensionless promoter strength, and $\\rho = \\alpha/\\beta_m$ is the relative strength of leaky versus regulated expression.\n",
"\n",
"We can solve this system numerically and plot the dynamics. \n",
"\n",
"*Note that to interact with this plot, you need to be running this Jupyter notebook; the plot is lost in the static HTML rendering.*"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-05T00:52:06.963778Z",
"start_time": "2019-06-05T00:52:06.927633Z"
},
"tags": [
"hide_input"
]
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.holoviews_exec.v0+json": "",
"text/html": [
"
\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"
\n",
""
],
"text/plain": [
"Column\n",
" [0] Row(width=550)\n",
" [0] FloatSlider(end=4, name='log₁₀ β', value=1)\n",
" [1] FloatSlider(end=5, name='n', start=1, value=3)\n",
" [2] FloatSlider(end=0, name='log₁₀ γ', start=-3)\n",
" [3] FloatSlider(end=0, name='log₁₀ ρ', start=-6, value=-6)\n",
" [4] FloatSlider(end=1000, name='t_max', start=1, step=1, value=100)\n",
" [1] Spacer(height=10)\n",
" [2] ParamFunction(function)"
]
},
"execution_count": 9,
"metadata": {
"application/vnd.holoviews_exec.v0+json": {
"id": "2052"
}
},
"output_type": "execute_result"
}
],
"source": [
"# Sliders\n",
"log_beta_slider = pn.widgets.FloatSlider(\n",
" name=\"log₁₀ β\", start=0, end=4, step=0.1, value=1\n",
")\n",
"n_slider_6 = pn.widgets.FloatSlider(name=\"n\", start=1, end=5, step=0.1, value=3)\n",
"log_gamma_slider = pn.widgets.FloatSlider(\n",
" name=\"log₁₀ γ\", start=-3, end=0, step=0.1, value=0\n",
")\n",
"log_rho_slider = pn.widgets.FloatSlider(\n",
" name=\"log₁₀ ρ\", start=-6, end=0, step=0.1, value=-6\n",
")\n",
"t_max_slider_6 = pn.widgets.FloatSlider(\n",
" name=\"t_max\", start=1, end=1000, step=1, value=100\n",
")\n",
"\n",
"\n",
"def repressilator_rhs_6(mx, t, beta, n, gamma, rho):\n",
" \"\"\"\n",
" Returns 6-array of (dm_1/dt, dm_2/dt, dm_3/dt, dx_1/dt, dx_2/dt, dx_3/dt)\n",
" \"\"\"\n",
" m_1, m_2, m_3, x_1, x_2, x_3 = mx\n",
" return np.array(\n",
" [\n",
" beta * (rho + 1 / (1 + x_3 ** n)) - m_1,\n",
" beta * (rho + 1 / (1 + x_1 ** n)) - m_2,\n",
" beta * (rho + 1 / (1 + x_2 ** n)) - m_3,\n",
" gamma * (m_1 - x_1),\n",
" gamma * (m_2 - x_2),\n",
" gamma * (m_3 - x_3),\n",
" ]\n",
" )\n",
"\n",
"\n",
"# Initial condiations\n",
"x0_6 = np.array([1, 1.1, 1.2, 0, 0, 0])\n",
"\n",
"# Number of points to use in plots\n",
"n_points = 1000\n",
"\n",
"\n",
"@pn.depends(\n",
" log_beta_slider.param.value,\n",
" n_slider_6.param.value,\n",
" log_gamma_slider.param.value,\n",
" log_rho_slider.param.value,\n",
" t_max_slider_6.param.value,\n",
")\n",
"def repressilator_plot_6(log_beta, n, log_gamma, log_rho, t_max):\n",
" # args for solving ODEs\n",
" beta = 10 ** log_beta\n",
" gamma = 10 ** log_gamma\n",
" rho = 10 ** log_rho\n",
" args = (beta, n, gamma, rho)\n",
"\n",
" # Solve for species concentrations\n",
" t = np.linspace(0, t_max, n_points)\n",
" x = scipy.integrate.odeint(repressilator_rhs_6, x0_6, t, args=args)\n",
" m1, m2, m3, x1, x2, x3 = x.transpose()\n",
"\n",
" colors = bokeh.palettes.d3[\"Category20\"][6]\n",
"\n",
" p = bokeh.plotting.figure(\n",
" frame_width=550, frame_height=200, x_axis_label=\"t\", x_range=[0, t_max]\n",
" )\n",
"\n",
" p.line(t, m1, line_width=2, color=colors[1], legend_label=\"m1\")\n",
" p.line(t, x1, line_width=2, color=colors[0], legend_label=\"x1\")\n",
" p.line(t, m2, line_width=2, color=colors[3], legend_label=\"m2\")\n",
" p.line(t, x2, line_width=2, color=colors[2], legend_label=\"x2\")\n",
" p.line(t, m3, line_width=2, color=colors[5], legend_label=\"m3\")\n",
" p.line(t, x3, line_width=2, color=colors[4], legend_label=\"x3\")\n",
"\n",
" p.legend.location = \"top_left\"\n",
"\n",
" return p\n",
"\n",
"\n",
"pn.Column(\n",
" pn.Row(\n",
" log_beta_slider,\n",
" n_slider_6,\n",
" log_gamma_slider,\n",
" log_rho_slider,\n",
" t_max_slider_6,\n",
" width=550,\n",
" ),\n",
" pn.Spacer(height=10),\n",
" repressilator_plot_6,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Using a similar technique as for the simplified three-component system, we can show that there is a unique fixed point with $m_i = x_i = x_0$ for all $i$ with\n",
"\n",
"\\begin{align}\n",
"(x_0 - \\beta\\rho)(1+x_0^n) = \\beta.\n",
"\\end{align}\n",
"\n",
"We can perform linear stability for this fixed point. The linear stability matrix is now 6 by 6 rather than 3 by 3. Nonetheless, we can derive analytically that when we get an eigenvalue with a positive real part, it also has a nonzero imaginary part, which means that the instability is oscillatory. We get (not derived here; can you do it?) an eigenvalue with positive real part when\n",
"\n",
"\\begin{align}\n",
"\\left(\\sqrt{\\gamma} + \\sqrt{\\gamma^{-1}}\\right)^2 < \\frac{3f_0^2}{4+2f_0},\n",
"\\end{align}\n",
"\n",
"where\n",
"\n",
"\\begin{align}\n",
"f_0 = \\frac{\\beta n x_0^{n-1}}{(1+x_0^n)^2}.\n",
"\\end{align}\n",
"\n",
"Note something interesting here: $x_0$ is independent of $\\gamma$, while the $\\left(\\sqrt{\\gamma} + \\sqrt{\\gamma^{-1}}\\right)^2$ term is invariant to exchanging $\\gamma \\leftrightarrow \\gamma^{-1}$. This is telling us that the magnitude of the ratio matters, but not whether protein or mRNA are more stable.\n",
"\n",
"We can compute the phase boundary to be the line for which the inequality above becomes an equality. To compute this, we first need to write a function to find the fixed point for the six-component system."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-05T00:52:06.970091Z",
"start_time": "2019-06-05T00:52:06.965710Z"
}
},
"outputs": [],
"source": [
"def fixed_point_6(beta, n, rho):\n",
" return scipy.optimize.brentq(\n",
" lambda x: beta - (x - beta * rho) * (1 + x ** n), 0, beta * (1 + rho)\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we write a function to compute the values of $\\gamma$ along the bifurcation line for various values of $\\beta$. It is useful to rewrite the expression for the bifurcation.\n",
"\n",
"\\begin{align}\n",
"\\gamma -\\xi\\sqrt{\\gamma} + 1 = 0,\n",
"\\end{align}\n",
"\n",
"where\n",
"\n",
"\\begin{align}\n",
"\\xi = \\sqrt{\\frac{3f_0^2}{4+2f_0}}.\n",
"\\end{align}\n",
"\n",
"Then, we have\n",
"\n",
"\\begin{align}\n",
"\\gamma = \\frac{1}{4}\\left(\\xi \\pm \\sqrt{\\xi^2-4}\\right)^2.\n",
"\\end{align}\n",
"\n",
"Evidently, if $\\xi < 2$, there is no value of $\\gamma$ that satisfies this relation. There is no problem with this; it just says that there are regions in parameter space outside of the zone where oscillations can occur.\n",
"\n",
"When we make a plot of the bifurcation, we will only show the plot for $\\gamma > 1$ because of the symmetry of $\\gamma$ and $1/\\gamma$ we have described."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-05T00:52:06.979655Z",
"start_time": "2019-06-05T00:52:06.972051Z"
}
},
"outputs": [],
"source": [
"def gamma_bifurcation(beta, n, rho):\n",
" # Initialize gamma\n",
" gamma = np.empty_like(beta)\n",
"\n",
" for i, b in enumerate(beta):\n",
" x0 = fixed_point_6(b, n, rho)\n",
"\n",
" f0 = -b * n * x0 ** (n - 1) / (1 + x0 ** n) ** 2\n",
" \n",
" if f0 < -2:\n",
" gamma[i] = np.nan\n",
" else:\n",
" xi = np.sqrt(3 * f0 ** 2 / (4 + 2 * f0))\n",
"\n",
" if xi < 2:\n",
" gamma[i] = np.nan\n",
" else:\n",
" gamma[i] = (xi + np.sqrt(xi ** 2 - 4)) ** 2 / 4\n",
"\n",
" return gamma"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we can make plots of the bifurcation lines. In each case, the oscillatory region is below and to the right of the boundary. We will start with $\\rho = 0$ and will vary $n$. In the following plot, we see something interesting: when $n>2$, the boundary approaches a vertical asymptote. This means that for strong enough promoters, one can get oscillations for any decay rates. By contrast when $n<2$ it approaches a horizontal asymptote. In this regime, it is essential that the mRNA and protein decay rates be sufficiently close together. $n=2$ is a critical value in between these two regimes. "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-05T00:52:07.720392Z",
"start_time": "2019-06-05T00:52:06.981558Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/javascript": [
"(function(root) {\n",
" function embed_document(root) {\n",
" \n",
" var docs_json = {\"1fcebcd2-b2ab-48c3-a38f-bb7e61647062\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"2292\",\"type\":\"LogAxis\"}],\"center\":[{\"id\":\"2296\",\"type\":\"Grid\"},{\"id\":\"2301\",\"type\":\"Grid\"},{\"id\":\"2327\",\"type\":\"Legend\"}],\"left\":[{\"id\":\"2297\",\"type\":\"LogAxis\"}],\"plot_height\":300,\"plot_width\":400,\"renderers\":[{\"id\":\"2318\",\"type\":\"GlyphRenderer\"},{\"id\":\"2332\",\"type\":\"GlyphRenderer\"},{\"id\":\"2347\",\"type\":\"GlyphRenderer\"},{\"id\":\"2364\",\"type\":\"GlyphRenderer\"},{\"id\":\"2383\",\"type\":\"GlyphRenderer\"},{\"id\":\"2404\",\"type\":\"GlyphRenderer\"},{\"id\":\"2427\",\"type\":\"GlyphRenderer\"}],\"title\":{\"id\":\"2321\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"2308\",\"type\":\"Toolbar\"},\"x_range\":{\"id\":\"2284\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"2288\",\"type\":\"LogScale\"},\"y_range\":{\"id\":\"2286\",\"type\":\"Range1d\"},\"y_scale\":{\"id\":\"2290\",\"type\":\"LogScale\"}},\"id\":\"2283\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2363\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2422\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2421\",\"type\":\"UnionRenderers\"}},\"id\":\"2380\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"data_source\":{\"id\":\"2361\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2362\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2363\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2365\",\"type\":\"CDSView\"}},\"id\":\"2364\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"ticker\":null},\"id\":\"2325\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"label\":{\"value\":\"n = 2.5\"},\"renderers\":[{\"id\":\"2332\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2343\",\"type\":\"LegendItem\"},{\"attributes\":{\"label\":{\"value\":\"n = 3\"},\"renderers\":[{\"id\":\"2318\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2328\",\"type\":\"LegendItem\"},{\"attributes\":{\"source\":{\"id\":\"2361\",\"type\":\"ColumnDataSource\"}},\"id\":\"2365\",\"type\":\"CDSView\"},{\"attributes\":{\"source\":{\"id\":\"2344\",\"type\":\"ColumnDataSource\"}},\"id\":\"2348\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"2341\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"2377\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"line_color\":\"#6baed6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2362\",\"type\":\"Line\"},{\"attributes\":{\"ticker\":null},\"id\":\"2323\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"items\":[{\"id\":\"2328\",\"type\":\"LegendItem\"},{\"id\":\"2343\",\"type\":\"LegendItem\"},{\"id\":\"2360\",\"type\":\"LegendItem\"},{\"id\":\"2379\",\"type\":\"LegendItem\"},{\"id\":\"2400\",\"type\":\"LegendItem\"},{\"id\":\"2423\",\"type\":\"LegendItem\"},{\"id\":\"2448\",\"type\":\"LegendItem\"}]},\"id\":\"2327\",\"type\":\"Legend\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2359\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2358\",\"type\":\"UnionRenderers\"}},\"id\":\"2329\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"2359\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"n = 2.05\"},\"renderers\":[{\"id\":\"2347\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2360\",\"type\":\"LegendItem\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"2326\",\"type\":\"BoxAnnotation\"},{\"attributes\":{},\"id\":\"2358\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2399\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2398\",\"type\":\"UnionRenderers\"}},\"id\":\"2361\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"source\":{\"id\":\"2380\",\"type\":\"ColumnDataSource\"}},\"id\":\"2384\",\"type\":\"CDSView\"},{\"attributes\":{\"dimension\":1,\"ticker\":{\"id\":\"2298\",\"type\":\"LogTicker\"}},\"id\":\"2301\",\"type\":\"Grid\"},{\"attributes\":{\"data_source\":{\"id\":\"2344\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2345\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2346\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2348\",\"type\":\"CDSView\"}},\"id\":\"2347\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2346\",\"type\":\"Line\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"2298\",\"type\":\"LogTicker\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2331\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"2305\",\"type\":\"SaveTool\"},{\"attributes\":{},\"id\":\"2378\",\"type\":\"Selection\"},{\"attributes\":{\"label\":{\"value\":\"n = 2\"},\"renderers\":[{\"id\":\"2364\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2379\",\"type\":\"LegendItem\"},{\"attributes\":{\"source\":{\"id\":\"2315\",\"type\":\"ColumnDataSource\"}},\"id\":\"2319\",\"type\":\"CDSView\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2342\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2341\",\"type\":\"UnionRenderers\"}},\"id\":\"2315\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"text\":\"\"},\"id\":\"2321\",\"type\":\"Title\"},{\"attributes\":{\"data_source\":{\"id\":\"2315\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2316\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2317\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2319\",\"type\":\"CDSView\"}},\"id\":\"2318\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_color\":\"#4292c6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2345\",\"type\":\"Line\"},{\"attributes\":{\"axis_label\":\"\\u03b3\",\"formatter\":{\"id\":\"2323\",\"type\":\"LogTickFormatter\"},\"ticker\":{\"id\":\"2298\",\"type\":\"LogTicker\"}},\"id\":\"2297\",\"type\":\"LogAxis\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4f6hvB/I50/I/oAp0Ew849D83eQ+FxVj1P6Nl3Uq5V/Y/Xo4OishB9z9YFyclbx34P7yrHU177vg/LAa31GG3+T860bck1Hn6P59FULMLN/s/Fzl/v/Pv+z8HcpwVQqX8PyuQ85eGV/0/fVnwbTUH/j/GSQDxrbT+PwEhkoc/YP8/h9PEkRYFAECEWjzqV1kAQMCrxVr8rABAEwNJMxkAAUAH3xwYwVIBQPC8znQEpQFAjzpq1/H2AUA5Ats5lkgCQH6qiD39mQJA+tAlXDHrAkDL4A0QPDwDQN7C3PUljQNAF46a6PbdA0AAZ4IZti4EQOG4MiRqfwRASEXqHxnQBECedFSuyCAFQCYjTQh+cQVAqXvwCD7CBUDQpjs3DRMGQFSmds7vYwZAJsmVxem0BkDXMLnV/gUHQJpv6n8yVwdA7RMzEoioB0A2rCKsAvoHQFJS10KlSwhAZ+aYpHKdCECZvhR8be8IQLKNRVOYQQlArZ0RlvWTCUD0C6iUh+YJQKKNpIVQOQpAPzwAiFKMCkBVFtWkj98KQKUe+dAJMwtAqHB17sKGC0BPC93NvNoLQFeqhi/5LgxAFJqsxHmDDEClGXUwQNgMQIaY5QhOLQ1AMdbC16SCDUDYsF8bRtgNQNlAXEczLg5Aoq5WxW2EDkA0DY/19toOQM9dfy/QMQ9A1cdowvqID0DS7tb1d+APQFMgDYUkHBBAifxcnDdIEEBlRm/adXQQQDiL2tXfoBBAjitmInbNEECH5TVROfoQQPej8vApJxFACMnwjUhUEUAlJFSylYERQIvAMeYRrxFA3bSvr73cEUAPGSOTmQoSQLFFLBOmOBJACXrRsONmEkDqB5jrUpUSQLUdnEH0wxJAq0inL8jyEkARxEUxzyETQEmr2sAJURNANyGzV3iAE0AnfhhuG7ATQI2VYXvz3xNAWiED9gAQFEDSYZ9TREAUQAv+FAm+cBRA5DGNim6hFEB+U4lLVtIUQHK77751AxVA5BgYV800FUC3OteFXWYVQKFVirwmmBVAn88hbCnKFUColysFZvwVQOQP3ffcLhZA5ZEctI5hFkC9kYqpe5QWQBtmikekxxZAOLlK/Qj7FkDCqs05qi4XQIai8GuIYhdAxdxzAqSWF0DLsAFs/coXQHSXNReV/xdAcfSicms0GECfpdvsgGkYQK9bdvTVnhhAfL8U+GrUGEC4ZWlmQAoZQJKUPa5WQBlAwd12Pq52GUCXjhyGR60ZQMz4XPQi5BlAB5aS+EAbGkBxCEkColIaQO/4QYFGihpA8dZ55S7CGkCteCyfW/oaQKCv2h7NMhtABndK1YNrG0AVmZEzgKQbQBjdFavC3RtAWtqRrUsXHEA0IBmtG1EcQLhXHBwzixxAnQ5tbZLFHECwiEEUOgAdQMouOIQqOx1Ac9NcMWR2HUDiJimQ57EdQAd1ixW17R1AP5HoNs0pHkCVnx9qMGYeQE19jSXfoh5AhSAQ4NnfHkBq6wkRIR0fQKr1ZDC1Wh9AF0yWtpaYH0C6J6EcxtYfQE4ODe6hCiBA7x+VNwgqIEDJI0kolkkgQI7R1v1LaSBAxsY69imJIEAtDcJPMKkgQCqeC0lfySBA3OMJIbfpIEAzOAQXOAohQNphmGriKiFAsg68W7ZLIUAfTr4qtGwhQP4HSRjcjSFA2XNiZS6vIUBhjm5Tq9AhQNONMCRT8iFA/FXMGSYUIkAW68d2JDYiQMjkDH5OWCJAseDpcqR6IkAu9BOZJp0iQMQeqDTVvyJArbwsirDiIkDP+JLeuAUjQC5AOHfuKCNA4rTnmVFMI0BrotuM4m8jQE/yvpahkyNAwqGu/o63I0DpNzsMq9sjQD4+agf2/yNAhLi3OHAkJEBfnxfpGUkkQItc92HzbSRAz0Y/7fySJEB4IVTVNrgkQLucGGWh3SRAvNfu5zwDJUBB5bmpCSklQHxR3/YHTyVAo6pIHDh1JUCIC2VnmpslQJ2oKiYvwiVAOl8Yp/boJUBFRzc58Q8mQO5HHCwfNyZAtK7pz4BeJkA0yVB1FoYmQByCk23grSZA+ACGCt/VJkCLTJCeEv4mQFfxr3x7JidAgap5+BlPJ0A5Dhtm7ncnQNk9XBr5oCdA15ihajrKJ0DKdO2ssvMnQJ3W4TdiHShAJDLCYklHKEC5K3WFaHEoQBZfhvi/myhA5CgoFVDGKEB8dTU1GfEoQBGTM7MbHClAgQlU6ldHKUBKdHY2znIpQGVjKvR+nilA1j6xgGrKKUDOLwA6kfYpQPwOwn7zIipAQ1ZZrpFPKkCrGOIobHwqQO7+M0+DqSpABUnkgtfWKkBA1UcmaQQrQEMAdJw4MitAeWRFSUZgK0CZ8FqRko4rQJ6sHNodvStAuYm8iejrK0Df5TgH8xosQLGQXro9SixAAOPKC8l5LEC6DO5klaksQDZWDTCj2SxAwWVF2PIJLUBRjozJhDotQBUitXBZay1AOc5vO3GcLUAx+02YzM0tQOE1xPZr/y1AH54sx08xLkDnXMl6eGMuQHsix4PmlS5A66o/VZrILkAxSjxjlPsuQNyAuCLVLi9AC5ekCV1iL0A3QOiOLJYvQKpGZSpEyi9Apj76VKT+L0B+oULEphkwQGBc8x8gNDBAuQ2Ce75OMEDiaWUVgmkwQHOJmSxrhDBAY16hAHqfMED0KojRrrowQGv+4t8J1jBApzbSbIvxMEABBgO6Mw0xQOD9sAkDKTFAzp6nnvlEMUBB7UO8F2ExQLAKdqZdfTFAm9XCocuZMUBMjEXzYbYxQId3seAg0zFAcJhTsAjwMUCDXRSpGQ0yQMdbeRJUKjJA/g6nNLhHMkACnmJYRmUyQO2mE8f+gjJA/Q7GyuGgMkBe2iuu774yQMUIn7wo3TJAQnkjQo37MkB302iLHRozQAx4zOXZODNA/3Zbn8JXM0DzjNQG2HYzQMsmqmsaljNAaW0EHoq1M0CBVsNuJ9UzQI29gK/y9DNAr4OSMuwUNEAHuAxLFDU0QKrEw0xrVTRALqZOjPF1NEADKQlfp5Y0QAIvFhuNtzRAdf1hF6PYNEBskqSr6fk0QCYCZDBhGzVA9932/gk9NUDXoYZx5F41QKEsEuPwgDVA5D5wry+jNUAJBFIzocU1QAakRcxF6DVATt642B0LNkDFrfu3KS42QJ32QsppUTZA7D2rcN50NkCNaTsNiJg2QP6M5wJnvDZAD72TtXvgNkCs7xaKxgQ3QI/mPeZHKTdAFyLOMABON0DsForR73I3QOhnLzEXmDdAfC6BuXa9N0AvmUbVDuM3QLCjTvDfCDhAGbpzd+ouOECnBZ/YLlU4QOuqy4KtezhASiUK5maiOEDqsYNzW8k4QMnFfZ2L8DhAtZBd1/cXOUD/jquVoD85QGInF06GZzlAhFZ6d6mPOUD50dyJCrg5QLo+ev6p4DlAM07CT4gJOkAMLF/5pTI6QHHNOHgDXDpAQPZ4SqGFOkDdSY/vf686QENxNeif2TpAKStztgEEO0DD7qLdpS47QBnodeKMWTtAOnf4SreEO0BcqJaeJbA7QIG7IGbY2ztASb/PK9AHPECHPUp7DTQ8QGT5qOGQYDxA1cN77VqNPEANXc4ubLo8QKVxLTfF5zxA2KOrmWYVPUCLr+bqUEM9QKueDMGEcT1AKxXhswKgPUDGsMJcy849QOeAsFbf/T1AXpJPPj8tPkAGk/Cx61w+QEaOlVHljD5Asbz3viy9PkBWcI2dwu0+QNwXkJKnHj9AX1kCRdxPP0DESLZdYYE/QKK1U4c3sz9ALJdebl/lP0Ctx57g7AtAQBBFIJhTJUBARr7TNuQ+QEAkndQWn1hAQM42PZOEckBAdlQqCJWMQEDrzL7S0KZAQIgsJ1E4wUBA4Wyd4svbQEDXvGzni/ZAQFNZ9cB4EUFALHWw0ZIsQUD9MzR92kdBQN20NyhQY0FA1C+XOPR+QUDvI1gVx5pBQAeZrSbJtkFAH3T81frSQUBl3t+NXO9BQB2/LbruC0JA2Ev7x7EoQkDHqaElpkVCQNemwkLMYkJAG4VNkCSAQkDh3oOAr51CQMyd/oZtu0JAuQqzGF/ZQkDS8verhPdCQCTmirjeFUNAGoyVt200Q0AeEbMjMlNDQHOt9XgsckNAMkbsNF2RQ0AAJqjWxLBDQJXSwt5j0ENA6/xjzzrwQ0AZi0csShBEQIPCw3qSMERAKorPQRRRRECfzggK0HFEQMIAu13GkkRADbblyPezREDhZkPZZNVEQKdMUB4O90RAFWJRKfQYRUAgg1uNFztFQD2yWt94XUVA0XwZthiARUAMh0iq96JFQLo5hlYWxkVABpdmV3XpRUAPNXtLFQ1GQO/ZWdP2MEZAC9mqkRpVRkAjbigrgXlGQPQ/rUYrnkZALMk7jRnDRkD/ogeqTOhGQO4ZfkrFDUdADbBPHoQzR0DylnnXiVlHQNleTyrXf0dAwtCEzWymR0DB/zd6S81HQOeJ++tz9EdAfxDh4OYbSEDK44MZpUNIQIXmE1mva0hAjapgZQaUSEAbxuQGq7xIQNpi0Qie5UhAUA0aOeAOSUDivIBocjhJQB8fompVYklAdyICFoqMSUBowhhEEbdJQBwZX9Hr4UlAUrZcnRoNSkDlPLWKnjhKQDJKNn94ZEpA5ablY6mQSkAgyA8lMr1KQBOaVrIT6kpAiJ7A/k4XS0AWXsgA5URLQLQsbLLWcktAeUQ+ESWhS0BzO3Ue0c9LQKnS/N7b/ktAuyOHW0YuTEAwLp6gEV5MQDLGtb4+jkxA3Ok9ys6+TEAKe7Xbwu9MQP1nvQ8cIU1A3zosh9tSTUAbHiJnAoVNQGlQHdmRt01AXA4PC4vqTUCV93Av7x1OQBXsWn2/UU5Ak2mZMP2FTkBlbsSJqbpOQEPeVs7F705Af3LGSFMlT0AfOJxIU1tPQGyejSLHkU9A7RmWMLDIT0DesAjpBwBQQFYk67XzG1BA6hwpNBw4UECIrNIbglRQQCKo3ycmcVBAAGU+FgmOUEBR0eKnK6tQQB3o1aCOyFBA6oRFyDLmUEC0mpToGARRQGDMa89BIlFA3XDKTa5AUUDE/hc4X19RQOXlNWZVflFAEtuRs5GdUUDIlTj/FL1RQMgI6Svg3FFAxA8oIPT8UUAhoVTGUR1SQA6AvAz6PVJAq3Cx5e1eUkAu/Z5HLoBSQE96Ii28oVJAnBEblZjDUkD6gMuCxOVSQHbM6/1ACFNAgVHCEg8rU0A9Yz7SL05TQDTmEVKkcVNA1gPMrG2VU0AEkPQBjblTQAgnKHYD3lNA2Q81M9ICVEBF4Dho+idUQAbvvkl9TVRAe5jfEVxzVEBEWWAAmJlUQHDO1FoywFRAyJfAbCznVEBKNLqHhw5VQKWkjgNFNlVAbGxmPmZeVUBMOeuc7IZVQAjJborZr1VAsNwSeS7ZVUAmU/Lh7AJWQKRiS0UWLVZAvxOrKqxXVkAf8hkhsIJWQAMOSr8jrlZAwkrGowjaVkBSFSN1YAZXQGCDMOIsM1dAyustom9gV0AvBf90Ko5XQAeaYiNfvFdAstkqfw/rV0DZXXdjPRpYQLju8LTqSVhAJRIHYhl6WECRgC9jy6pYQC6FJ7sC3FhACWQ3d8ENWUB103evCUBZQIu/FofdcllASJesLD+mWUCYZHfaMNpZQOi9tNa0DlpArm/vc81DWkCg0FQRfXlaQLOGCRvGr1pALCuDCqvmWkAKTeRmLh5bQPRwW8VSVltA7TWFyRqPW0BZqtElichbQNgG7ZugAlxAetwr/WM9XEBW6Poq1nhcQIWoUhf6tFxAidcuxdLxXEC9AApJYy9dQFdJXcmubV1AjaEkf7isXUCEjGe2g+xdQM6mxs4TLV5A1ysOPGxuXkDYl82GkLBeQAi19EyE815A1kF2Qks3X0AOZvAx6XtfQJNBW/1hwV9AOelez9wDYEAKunQUeidgQN0kHuSKS2BAHGS1YRFwYEDAbCi+D5VgQANeZTiIumBAQBHLHX3gYECr453K8AZhQD0DgarlLWFAzVX0OF5VYUAPR9cBXX1hQIun8KHkpWFAWuZ7x/fOYUDmzrsymfhhQEMmk7bLImJA4VUjOZJNYkCyf3G073hiQNE7EjfnpGJALljc5HvRYkBn66L3sP5iQO0a97+JLGNAX+/xpQlbY0ADnQYqNIpjQI+n3eUMumNALl85jZfqY0AcGOTu1xtkQJ2uqPXRTWRA5NNVqYmAZEALq8wvA7RkQGZVG85C6GRAVw+k6UwdZUDobVEJJlNlQGqL2NbSiWVA2s0JIFjBZUDKETHYuvllQJcUhhkAM2ZAACOqJi1tZkCPx0psR6hmQOPFsYJU5GZAW5yNL1ohZ0BfucBnXl9nQMPvRFFnnmdAKkgqRXveZ0Ci9K3RoB9oQGvIa7zeYWhAr66rBDylaEDgzMzlv+loQIYQ0NlxL2lApgcEnFl2aUAYBdQrf75pQKy7vM/qB2pAT5NoGKVSakDyL/bjtp5qQCjNa2Ep7GpAdj9aFAY7a0DZqLLYVotrQBcP0uYl3WtAymDG130wbEAap9CpaYVsQNJZKMX022xAu1EEASs0bUBiz+2oGI5tQFfOYoLK6W1AEgPN0k1HbkAfQdNlsKZuQMLPC5QACG9AWFQWSk1rb0DEziQQptBvQGbM/YgNHHBAi424k95QcECJSrvuzoZwQLUU2r/nvXBAVZphkTL2cEAIg4lXuS9xQIV4QnaGanFAbQVnx6SmcUBPBFehH+RxQAYPBt4CI3JACDiG4lpjckDQFRmnNKVyQFMl0r+d6HJAhrDWZaQtc0BgWEiBV3RzQObf6LPGvHNAICOHZAIHdEC90kbLG1N0QEMv1v4koXRAZzqnAjHxdEAhskPWU0N1QBbv1YWil3VA+FkDPDPudUA6SThVHUd2QFyaiHR5onZAb0FMmmEAd0D/aKM88WB3QCfMEmJFxHdAomFuvnwqeED9CU/St5N4QPsAVw0ZAHlA6++Q88RveUC4Bj9G4uJ5QKT6eTCaWXpAjegLeBjUekD0AwGzi1J7QFICeIIl1XtAgmpO0xpcfEDF41klpOd8QL5A+Nn9d31ALg/cimgNfkD6HBxqKah+QBrIvqyKSH9AnQ3QANzuf0DNkKSIuU2AQP1XSwxWp4BA9QFHQnUEgUA5MffWTGWBQPPxHNMWyoFA7uWVDxIzgkAZ8cq3gqCCQD90DN2yEoNALJp6HfOJg0AAyJFhmwaEQIx/BbQLiYRAiiBGOK0RhUA/WOZE86CFQBMPHqhcN4ZAoJ7uHXXVhkBnlf4A13uHQPD5NkEtK4hAq2qcrTXkiEDnYu2hw6eJQOmWbCzDdopAIsAnxTxSi0CmM1O2WTuMQJL+al1pM41AWaxKd+c7jkCycim3g1aPQHXqQn2VQpBAvEUTQgnlkEAJgFrk4pORQJrBsMGbUJJAKf6dgusck0BuCb6C1fqTQE3VLNe57JRAISSeJGv1lUC/S0bvShiXQFyU/r9uWZhAVBfVgtG9mUCXq0kWlkubQEGhBXViCp1Awn2gyN4Dn0DenY4HNaKgQO9TUFUQ7qFA49cd3jFwo0D+6TjHGDelQLfZWQvvVqdAVRJqQ5vsqUCcCyQuDyOtQLmJUK1+nrBA1norBvRTs0AC4/u3hRK3QFI0FVUllrxAWYCVsbHBwkCZ8jc1TDjLQKJgBuxqtthAdH0ppxJ0AEEAAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fw==\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2378\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2377\",\"type\":\"UnionRenderers\"}},\"id\":\"2344\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_color\":\"#9ecae1\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2381\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2382\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"2380\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2381\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2382\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2384\",\"type\":\"CDSView\"}},\"id\":\"2383\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_color\":\"#08519c\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2316\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"2329\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2330\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2331\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2333\",\"type\":\"CDSView\"}},\"id\":\"2332\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"2293\",\"type\":\"LogTicker\"},{\"attributes\":{},\"id\":\"2398\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"ticker\":{\"id\":\"2293\",\"type\":\"LogTicker\"}},\"id\":\"2296\",\"type\":\"Grid\"},{\"attributes\":{\"overlay\":{\"id\":\"2326\",\"type\":\"BoxAnnotation\"}},\"id\":\"2304\",\"type\":\"BoxZoomTool\"},{\"attributes\":{},\"id\":\"2303\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"line_color\":\"#2171b5\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2330\",\"type\":\"Line\"},{\"attributes\":{\"line_color\":\"#c6dbef\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2402\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"2399\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"2306\",\"type\":\"ResetTool\"},{\"attributes\":{\"label\":{\"value\":\"n = 1.95\"},\"renderers\":[{\"id\":\"2383\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2400\",\"type\":\"LegendItem\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"2302\",\"type\":\"PanTool\"},{\"id\":\"2303\",\"type\":\"WheelZoomTool\"},{\"id\":\"2304\",\"type\":\"BoxZoomTool\"},{\"id\":\"2305\",\"type\":\"SaveTool\"},{\"id\":\"2306\",\"type\":\"ResetTool\"},{\"id\":\"2307\",\"type\":\"HelpTool\"}]},\"id\":\"2308\",\"type\":\"Toolbar\"},{\"attributes\":{\"source\":{\"id\":\"2329\",\"type\":\"ColumnDataSource\"}},\"id\":\"2333\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"2342\",\"type\":\"Selection\"},{\"attributes\":{\"data_source\":{\"id\":\"2401\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2402\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2403\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2405\",\"type\":\"CDSView\"}},\"id\":\"2404\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"2302\",\"type\":\"PanTool\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2403\",\"type\":\"Line\"},{\"attributes\":{\"source\":{\"id\":\"2401\",\"type\":\"ColumnDataSource\"}},\"id\":\"2405\",\"type\":\"CDSView\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2447\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2446\",\"type\":\"UnionRenderers\"}},\"id\":\"2401\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"2307\",\"type\":\"HelpTool\"},{\"attributes\":{\"label\":{\"value\":\"n = 1.75\"},\"renderers\":[{\"id\":\"2404\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2423\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"2421\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"2422\",\"type\":\"Selection\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2508\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2507\",\"type\":\"UnionRenderers\"}},\"id\":\"2424\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_color\":\"#deebf7\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2425\",\"type\":\"Line\"},{\"attributes\":{\"source\":{\"id\":\"2424\",\"type\":\"ColumnDataSource\"}},\"id\":\"2428\",\"type\":\"CDSView\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2426\",\"type\":\"Line\"},{\"attributes\":{\"data_source\":{\"id\":\"2424\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2425\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2426\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2428\",\"type\":\"CDSView\"}},\"id\":\"2427\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"2446\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"label\":{\"value\":\"n = 1.5\"},\"renderers\":[{\"id\":\"2427\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2448\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"2447\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"2507\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"2508\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"2290\",\"type\":\"LogScale\"},{\"attributes\":{\"axis_label\":\"\\u03b2\",\"formatter\":{\"id\":\"2325\",\"type\":\"LogTickFormatter\"},\"ticker\":{\"id\":\"2293\",\"type\":\"LogTicker\"}},\"id\":\"2292\",\"type\":\"LogAxis\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2317\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"end\":100000.0,\"start\":1},\"id\":\"2284\",\"type\":\"Range1d\"},{\"attributes\":{\"callback\":null,\"end\":1000.0,\"start\":1.3},\"id\":\"2286\",\"type\":\"Range1d\"},{\"attributes\":{},\"id\":\"2288\",\"type\":\"LogScale\"}],\"root_ids\":[\"2283\"]},\"title\":\"Bokeh Application\",\"version\":\"1.4.0\"}};\n",
" var render_items = [{\"docid\":\"1fcebcd2-b2ab-48c3-a38f-bb7e61647062\",\"roots\":{\"2283\":\"ec01b8be-7dbd-4b05-91a1-ff99b6c92a7f\"}}];\n",
" root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
"\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
" var attempts = 0;\n",
" var timer = setInterval(function(root) {\n",
" if (root.Bokeh !== undefined) {\n",
" clearInterval(timer);\n",
" embed_document(root);\n",
" } else {\n",
" attempts++;\n",
" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
"metadata": {
"application/vnd.bokehjs_exec.v0+json": {
"id": "2283"
}
},
"output_type": "display_data"
}
],
"source": [
"# Our beta range\n",
"beta = np.logspace(0, 5, 2000)\n",
"\n",
"# Color according to n\n",
"colors = bokeh.palettes.Blues9[1:-1]\n",
"\n",
"p = bokeh.plotting.figure(\n",
" width=400,\n",
" height=300,\n",
" x_axis_label=\"β\",\n",
" y_axis_label=\"γ\",\n",
" x_axis_type=\"log\",\n",
" y_axis_type=\"log\",\n",
" y_range=[1.3, 1e3],\n",
" x_range=[1, 1e5],\n",
")\n",
"\n",
"# Make the plots\n",
"for n, color in zip([1.5, 1.75, 1.95, 2, 2.05, 2.5, 3][::-1], colors):\n",
" gamma = gamma_bifurcation(beta, n, 0)\n",
" p.line(beta, gamma, line_width=2, color=color, legend_label=f\"n = {n}\")\n",
"\n",
"bokeh.io.show(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also see how leakage will affect the phase diagram. We will set $n = 2$ and make a plot of the phase boundary for different values of $\\rho$. As you can see in this plot, leaky transcription kills the oscillations roughly when the amount of leaky protein production becomes sufficient to shut off expression of the next repressor. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-05T00:52:08.092256Z",
"start_time": "2019-06-05T00:52:07.722315Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/javascript": [
"(function(root) {\n",
" function embed_document(root) {\n",
" \n",
" var docs_json = {\"01b1ccbd-ad3c-467a-8ea7-f2c301513893\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"2644\",\"type\":\"LogAxis\"}],\"center\":[{\"id\":\"2648\",\"type\":\"Grid\"},{\"id\":\"2653\",\"type\":\"Grid\"},{\"id\":\"2679\",\"type\":\"Legend\"}],\"left\":[{\"id\":\"2649\",\"type\":\"LogAxis\"}],\"plot_height\":300,\"plot_width\":400,\"renderers\":[{\"id\":\"2670\",\"type\":\"GlyphRenderer\"},{\"id\":\"2684\",\"type\":\"GlyphRenderer\"},{\"id\":\"2699\",\"type\":\"GlyphRenderer\"},{\"id\":\"2716\",\"type\":\"GlyphRenderer\"}],\"title\":{\"id\":\"2673\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"2660\",\"type\":\"Toolbar\"},\"x_range\":{\"id\":\"2636\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"2640\",\"type\":\"LogScale\"},\"y_range\":{\"id\":\"2638\",\"type\":\"Range1d\"},\"y_scale\":{\"id\":\"2642\",\"type\":\"LogScale\"}},\"id\":\"2635\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"ticker\":null},\"id\":\"2675\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"2645\",\"type\":\"LogTicker\"},{\"attributes\":{\"num_minor_ticks\":10},\"id\":\"2650\",\"type\":\"LogTicker\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"2678\",\"type\":\"BoxAnnotation\"},{\"attributes\":{},\"id\":\"2694\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"2730\",\"type\":\"Selection\"},{\"attributes\":{\"source\":{\"id\":\"2667\",\"type\":\"ColumnDataSource\"}},\"id\":\"2671\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"2693\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"2729\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"data_source\":{\"id\":\"2681\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2682\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2683\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2685\",\"type\":\"CDSView\"}},\"id\":\"2684\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"ticker\":{\"id\":\"2645\",\"type\":\"LogTicker\"}},\"id\":\"2648\",\"type\":\"Grid\"},{\"attributes\":{\"ticker\":null},\"id\":\"2677\",\"type\":\"LogTickFormatter\"},{\"attributes\":{\"dimension\":1,\"ticker\":{\"id\":\"2650\",\"type\":\"LogTicker\"}},\"id\":\"2653\",\"type\":\"Grid\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2694\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2693\",\"type\":\"UnionRenderers\"}},\"id\":\"2667\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2730\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2729\",\"type\":\"UnionRenderers\"}},\"id\":\"2696\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"axis_label\":\"\\u03b3\",\"formatter\":{\"id\":\"2675\",\"type\":\"LogTickFormatter\"},\"ticker\":{\"id\":\"2650\",\"type\":\"LogTicker\"}},\"id\":\"2649\",\"type\":\"LogAxis\"},{\"attributes\":{\"label\":{\"value\":\"\\u03c1 = 0.01\"},\"renderers\":[{\"id\":\"2670\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2680\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"2655\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"label\":{\"value\":\"\\u03c1 = 0.001\"},\"renderers\":[{\"id\":\"2684\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2695\",\"type\":\"LegendItem\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2698\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"2805\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"2654\",\"type\":\"PanTool\"},{\"attributes\":{\"data_source\":{\"id\":\"2696\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2697\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2698\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2700\",\"type\":\"CDSView\"}},\"id\":\"2699\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_color\":\"#08519c\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2668\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"2806\",\"type\":\"Selection\"},{\"attributes\":{\"callback\":null,\"end\":100000.0,\"start\":1},\"id\":\"2636\",\"type\":\"Range1d\"},{\"attributes\":{\"callback\":null,\"end\":10000.0,\"start\":1},\"id\":\"2638\",\"type\":\"Range1d\"},{\"attributes\":{},\"id\":\"2640\",\"type\":\"LogScale\"},{\"attributes\":{\"overlay\":{\"id\":\"2678\",\"type\":\"BoxAnnotation\"}},\"id\":\"2656\",\"type\":\"BoxZoomTool\"},{\"attributes\":{\"source\":{\"id\":\"2696\",\"type\":\"ColumnDataSource\"}},\"id\":\"2700\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"2710\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"2657\",\"type\":\"SaveTool\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2669\",\"type\":\"Line\"},{\"attributes\":{\"line_color\":\"#9ecae1\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2697\",\"type\":\"Line\"},{\"attributes\":{\"label\":{\"value\":\"\\u03c1 = 0.0001\"},\"renderers\":[{\"id\":\"2699\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2712\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"2658\",\"type\":\"ResetTool\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2683\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"2711\",\"type\":\"Selection\"},{\"attributes\":{\"axis_label\":\"\\u03b2\",\"formatter\":{\"id\":\"2677\",\"type\":\"LogTickFormatter\"},\"ticker\":{\"id\":\"2645\",\"type\":\"LogTicker\"}},\"id\":\"2644\",\"type\":\"LogAxis\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4fwAAAAAAAPh/AAAAAAAA+H8AAAAAAAD4f6xkxUQDtfA/kCG/iwjt8j/rCQvnnjX0P4D4ZjWuQ/U/WzpYK10z9j93HgP31g/3P35UEBjj3vc/RhFDsvOj+D+pFhc7SGH5P29FUFpwGPo/My42xY7K+j/1NRigfnj7P5P/Wd7pIvw/Hn95Y1fK/D/6kMJTNG/9P9uZfnHaEf4/2jXBl5Sy/j9Hbnf2oVH/P5/sl3U47/8/Zb58QMNFAEDgkRU0WpMAQOLh27dy4ABAZccdVBwtAUD9a9zMZHkBQN+Dx2ZYxQFAYhdWHwIRAkAj+M3aa1wCQEsoWIqepwJAWsq+S6LyAkC69BGEfj0DQL8NKvY5iANALCTJ1drSA0CIWvTXZh0EQECE/0DjZwRAUBut8FSyBECKArJswPwEQMnT3ekpRwVAOcwcVJWRBUD1IH9VBtwFQLUFalyAJgZAmqsQoQZxBkDpj04qnLsGQOVv+NFDBgdApOq1SABRB0AzIHMZ1JsHQPRXd6zB5gdAktorSssxCEDPj5wd83wIQHGmujY7yAhAXWVojKUTCUAdWFT+M18JQH03qVboqglA7j+XS8T2CUA9EbuAyUIKQDuxZYj5jgpAh9vI5FXbCkDqaAoJ4CcLQKFGQVqZdAtAgileMIPBC0Ay8QHXng4MQGlwQ47tWwxAHiZmi3CpDEA4RYP5KPcMQMVFJvoXRQ1AxRfepT6TDUC99cMMnuENQPy4+DY3MA5A530ZJQt/DkDtTqzQGs4OQMh+hSxnHQ9AG0kmJfFsD0AmQRWhubwPQPSFmMBgBhBAs+t+0IQuEED1+XZryVYQQJn3UvoufxBA6kKe47WnEECfXLuLXtAQQD0pAFUp+RBAb4nQnxYiEUD3ZrfKJksRQM9SfjJadBFAqMxDMrGdEUDXS5AjLMcRQDEfal7L8BFAAzdoOY8aEkAY7MMJeEQSQDHUaSOGbhJA0bMJ2bmYEkD/myV8E8MSQCFAIF2T7RJAx5JKyzkYE0BysfAUB0MTQLgtZof7bRNAGrsRbxeZE0DvSngXW8QTQGChR8vG7xNAvGdg1FobFECjxt97F0cUQOuNKAr9chRAVvDrxgufFECL2TH5Q8sUQAbkYOel9xRAxPRF1zEkFUAfgBsO6FAVQE9+kNDIfRVAuhLPYtSqFUCl6oIIC9gVQPtW3wRtBRZAZCSlmvoyFkBXNigMtGAWQBzmVJuZjhZAqSu1iau8FkB/a3YY6uoWQO7JaohVGRdAst4SGu5HF0AZ354NtHYXQFQw86KnpRdAh/esGcnUF0BilCWxGAQYQE3adqiWMxhAoGJ+PkNjGEBtG+GxHpMYQAq5DUEpwxhAUKNDKmPzGEB7cpCrzCMZQGG21gJmVBlAt0nQbS+FGUD5qRAqKbYZQP3aB3VT5xlAtAYFjK4YGkCnBzmsOkoaQKXcuBL4expA8QmA/OatGkAR5XKmB+AaQJ3OYE1aEhtAr1oGLt9EG0BMZg+FlncbQNBlGY+AqhtAfveziJ3dG0A9kWWu7RAcQCOSqjxxRBxABnL4byh4HEApNr+EE6wcQK0ia7cy4BxArV5mRIYUHUBqjBpoDkkdQL5W8l7LfR1ArvJaZb2yHUDOl8W35OcdQPfsqJJBHR5AymyCMtRSHkBXwNfTnIgeQBIQOLObvh5ATk09DdH0HkCrco0ePSsfQCm92yPgYR9A7dzpWbqYH0CRHon9y88fQAbHzaWKAyBAQomKQEsfIEB+QX7tJzsgQE1aNssgVyBA98FK+DVzIECha16TZ48gQJnNH7u1qyBATF1JjiDIIEAsCKIrqOQgQB6q/bFMASFAoIE9QA4eIUBboVD17DohQIVfNPDoVyFAIsP0TwJ1IUCj7qwzOZIhQE+Jh7qNryFA5CW/AwDNIUCep54ukOohQJGlgVo+CCJA1cvUpgomIkBiOxYz9UMiQIrn1R7+YSJADfO1iSWAIkADCmuTa54iQDC8vFvQvCJAj9OFAlTbIkD7q7Sn9vkiQDaHS2u4GCNAZeFgbZk3I0AHwx/OmVYjQE8SyK25dSNAZ+OuLPmUI0DQxj5rWLQjQO0X+InX0yNA/0hxqXbzI0D8LlfqNRMkQJdMbW0VMyRAoxuOUxVTJECvVau9NXMkQB08zsx2kyRAG98XotizJECvY8FeW9QkQPpIHCT/9CRAzaySE8QVJUBTj6dOqjYlQIRF9vaxVyVAvvw1Ltt4JUBVHDUWJpolQBPF3NCSuyVAkyUwgCHdJUA7/kxG0v4lQGy2a0WlICZA1pLfn5pCJkCq/RZ4smQmQJzDm/DshiZA4VATLEqpJkCR7T5NyssmQDz5+3Zt7iZAXyZEzDMRJ0BPtS1wHTQnQDqu64UqVydAUBzOMFt6J0BNRUKUr50nQBrl0tMnwSdAWWQoE8TkJ0DDEgl2hAgoQJxdWSBpLChAnQgcNnJQKECAZHLbn3QoQL+GnDTymChAvX/5ZWm9KEDPkQeUBeIoQANnZOPGBilAKUfNeK0rKUCbTR95uVApQGeeVwnrdSlAm5uTTkKbKUD7GRFuv8ApQCeWLo1i5ilAtGhr0SsMKkAy+mdgGzIqQOv35V8xWCpAR4fI9W1+KkCSeRRI0aQqQPJ/8HxbyypA1F2lugzyKkAmHZ4n5RgrQOFAaOrkPytAqPezKQxnK0BgT1QMW44rQEBnP7nRtStAfqKOV3DdK0DJ2n4ONwUsQHCScAUmLSxAlCboYz1VLEDgAY5RfX0sQGrNLvblpSxA9KO7eXfOLEBVQkoEMvcsQPQ6Fb4VIC1A5SV8zyJJLUCP0wNhWXItQAZ+Vpu5my1Ag/pDp0PFLUDr6sGt9+4tQD3v69fVGC5AU9cDT95CLkC503E8EW0uQGWnxMluly5AMtmxIPfBLkDL5BVrquwuQG5s9NKIFy9Axml4gpJCL0BZX/Sjx20vQFaK4mEomS9A0xLl5rTEL0BIPsZdbfAvQBlQvPgoDjBAtaWLZjEkMECiAfMNUDowQOy2qASFUDBAYKJ3YNBmMEDXQj83Mn0wQNvS856qkzBA0GCerTmqMEB151x538AwQItnYhic1zBAOf/2oG/uMEC4BHgpWgUxQHgdWMhbHDFAI1gflHQzMUCFRGujpEoxQHkN7wzsYTFAFJFz50p5MUDkeddJwZAxQPdXD0tPqDFACrolAvW/MUAfBzyGstcxQNiUh+6H7zFAKUNWUnUHMkCPzAvJeh8yQF4JImqYNzJAJJEpTc5PMkAkq8mJHGgyQE1nwDeDgDJAnbfibgKZMkB1iRxHmrEyQHzfcNhKyjJAj+r5OhTjMkAtJOmG9vsyQCpnh9TxFDNAZAo1PAYuM0BF+mnWM0czQBnStbt6YDNAOfa/BNt5M0A4rkfKVJMzQO4+JCXorDNAIQRFLpXGM0DUirH+W+AzQGuria88+jNAOKQFWjcUNECDM3YXTC40QKSxRAF7SDRA9yvzMMRiNEA4fxzAJ300QNBxdMillzRAsc7HYz6yNEAGgPyr8cw0QB6qEbu/5zRAvcUfq6gCNUB4u1iWrB01QJ/+B5fLODVAc6iSxwVUNUB6kndCW281QOJyTyLMijVABvfMgVimNUB43rx7AMI1QHUXBivE3TVAzNmpqqP5NUDZwcMVnxU2QIftiYe2MTZAsRZNG+pNNkA9sHjsOWo2QMUAkxamhjZAHD89tS6jNkDerjPk0782QMG7Tb+V3DZAAhZ+YnT5NkBFz9LpbxY3QC12dXGIMzdAVDOrFb5QN0DB5dTyEG43QIg/byWBizdAr+ISyg6pN0C5fXT9ucY3QIToZNyC5DdAMELRg2kCOECtDMMQbiA4QF5LYKCQPjhAZ5/rT9FcOED0ZcQ8MHs4QHfUZoStmThAvRdsREm4OEArcIqaA9c4QIRQlaTc9ThA9np9gNQUOUD3H1FM6zM5QC77OyYhUzlABHOHLHZyOUAstZp96pE5QI7W+jd+sTlAy/BKejHROUDtQExjBPE5QKZG3hH3EDpADOL+pAkxOkDScso7PFE6QDb4e/WOcTpAvC5t8QGSOkC7rxZPlbI6QGUQEC5J0zpAlgIQrh30OkBdcuzuEhU7QI6mmhApNjtAlWAvM2BXO0C9+952uHg7QI+N/fsxmjtAjwX/4sy7O0CbTXdMid07QMNpGlln/ztAOZm8KWchPECVdlLfiEM8QPkX8ZrMZTxAnzDOfTKIPEDQMECpuqo8QL5nvj5lzTxA3rrfXzLwPECnaGAuIhM9QJK7Gcw0Nj1AS7UHW2pZPUCpvUf9wnw9QJJFGdU+oD1AQlLdBN7DPUDt0RavoOc9QNi+avaGCz5Aw0Gg/ZAvPkAw0qDnvlM+QDVbeNcQeD5AJ1xV8IacPkD0C4lVIcE+QOJ7hyrg5T5AVLrnksMKP0DC9GOyyy8/QK2c2az4VD9AxIlJpkp6P0CZHNjCwZ8/QK9jzSZexT9Akj2V9h/rP0C/vl+rgwhAQG8HADaKG0BAwIyXraMuQECPkqQk0EFAQByft60PVUBAXI1zW2JoQECino1AyHtAQKKNzW9Bj0BARaAN/M2iQEBtujr4bbZAQIdwVHchykBA2xltjOjdQEBe46lKw/FAQLniQsWxBUFAHCiDD7QZQUCE0sg8yi1BQHkhhWD0QUFAsIg8jjJWQUDVwobZhGpBQM7kDlbrfkFADHGTF2aTQUCGauYx9adBQGVo7biYvEFAZamhwFDRQUD4JhBdHeZBQH+pWaL++kFAStuypPQPQkCkXGR4/yRCQJTXyjEfOkJA2BNX5VNPQkCYCo6nnWRCQGr6CI38eUJArHt1qnCPQkB/lJUU+qRCQN/MP+CYukJARkNfIk3QQkDswPPvFuZCQPDNEV72+0JAhsbigesRQ0Af76Rw9idDQLuIqz8XPkNA9eZeBE5UQ0BKgzzUmmpDQFQT18T9gENA/JzW63aXQ0DQi/heBq5DQDvGDzSsxENAosIEgWjbQ0DwnNVbO/JDQL4rltokCURA8xVwEyUgREBA6KIcPDdEQDQqhAxqTkRAlHV/+a5lREBGihb6Cn1EQB1l4SR+lERAF1aOkAisRECcFeJTqsNEQKrat4Vj20RAe3EBPTTzREC4UceQHAtFQPK0KJgcI0VAY9pcajQ7RUDsZK4eZFNFQN6Mgsyra0VAPcRUiwuERUClH7dyg5xFQKJAU5oTtUVAOSrqGbzNRUCvVlQJfeZFQGfQgYBW/0VAaEh6l0gYRkAGLF1mUzFGQCTAYQV3SkZAFjXXjLNjRkCmvyQVCX1GQF2xybZ3lkZASDZdiv+vRkBG5Y+ooMlGQMqHKSpb40ZAGc8KKC/9RkBs9Cy7HBdHQA/dofwjMUdAwlCUBUVLR0B84Ufvf2VHQMMVGdPUf0dAi4N9ykOaR0Bx5gPvzLRHQKo5VFpwz0dAH9EvJi7qR0BWcnFsBgVIQBhtDUf5H0hACbQR0AY7SEB5+KUhL1ZIQPa/C1ZycUhANIGeh9CMSEBHvNPQSahIQFkSO0zew0hA32N+FI7fSEAG5mFEWftIQDY/xPY/F0lA/p+eRkIzSUA23gRPYE9JQFSOJSuaa0lA+h1K9u+HSUCb7tbLYaRJQCdwS8fvwElA4TpCBJrdSUDcK3GeYPpJQHd9qbFDF0pAa+TXWUM0SkAWqgSzX1FKQMLGU9mYbkpAi/4E6e6LSkD4+nP+YalKQMFoGDbyxkpA5RCGrJ/kSkCP9Wx+agJLQKtumchSIEtAo0P0p1g+S0C0yoI5fFxLQJ0AZ5q9ektAi6jf5xyZS0CjZ0g/mrdLQLrfGb411ktAHs3pge/0S0B6JGuoxxNMQPcsbk++MkxAAp/glNNRTEAMwc2WB3FMQOCDXnNakExAL6DZSMyvTEBitKM1Xc9MQClhP1gN70xAHWhNz9wOTUA7yIy5yy5NQJTc2jXaTk1APHkzYwhvTUCSCrFgVo9NQDmyjE3Er01AEGYeSVLQTUCCDd1yAPFNQOihXurOEU5A1kpYz70yTkCVfp5BzVNOQHIfJWH9dE5A+pv/TU6WTkB0DmEowLdOQGpYnBBT2U5ACEgkJwf7TkCesYuM3BxPQDWShWHTPk9ADjDlxutgT0ASN57dJYNPQAfcxMaBpU9ArvqNo//HT0BpN0+Vn+pPQDSOv96wBlBAUJ/aHiMYUECoLdWbpilQQHY8nGY7O1BAJYQtkOFMUEBkg5cpmV5QQMd3+ENicFBAB8mC8DyCUECwlHZAKZRQQEL2JUUnplBATTL0Dze4UEDy41WyWMpQQJTA0D2M3FBAc8j7w9HuUED+WH9WKQFRQJI8FQeTE1FAd7yI5w4mUUD1sLYJnThRQIaUjX89S1FA7pINW/BdUUB3nEiutXBRQKN2YouNg1FAh82QBHiWUUAVRhssdalRQJWOWxSFvFFAFHK9z6fPUUAX6b5w3eJRQIEr8Akm9lFAncLzrYEJUkBonH5v8BxSQHsaWGFyMFJAPyhalgdEUkAQSnEhsFdSQECxnBVsa1JAwkzuhTt/UkCC3oqFHpNSQLYKqicVp1JAJGyWfx+7UkCOpq2gPc9SQDZ5YJ5v41JA0NIyjLX3UkBD4rt9DwxTQDMqpoZ9IFNA0pavuv80U0BejKktlklTQO/9ePNAXlNA034WIABzU0ADV47H04dTQEaVAP67nFNA9iOh17ixU0BD27doysZTQAmWoMXw21NANETLAizxU0D+/7s0fAZUQDMgC3DhG1RANE5lyVsxVEARl4tV60ZUQDmCUymQXFRAbySnWUpyVEBDNIX7GYhUQOIcAST/nVRAXRZD6PmzVEBwNYhdCspUQAyDIpkw4FRAwxB5sGz2VEBBCwi5vgxVQDHSYMgmI1VADQoq9KQ5VUAmtB9SOVBVQBBBE/jjZlVA66br+6R9VUCNdaVzfJRVQD/uUnVqq1VAshUcF2/CVUDkyz5vitlVQMLgDpS88FVAnin2mwUIVkAhl3SdZR9WQA1LIK/cNlZAw6yl52pOVkCdgcddEGZWQJkAXyjNfVZAxulbXqGVVkCqmsQWja1WQNEntmiQxVZAj25ka6vdVkBq7xs23vVWQMHgOuAoDldAV+Q7gYsmV0B+P68wBj9XQI7JOwaZV1dA1gOgGURwV0AS2bGCB4lXQI+2XlnjoVdAyaGrtde6V0AcULWv5NNXQI0+sF8K7VdABMjo3UgGWECLPcNCoB9YQP79u6YQOVhAwo1nIppSWEB2rXLOPGxYQIxzosP4hVhAw9DUGs6fWEA6+/7svLlYQBn9L1PF01hAkC+PZuftWECVulxAIwhZQNKr8fl4IllA2A/ArOg8WUAuCVNycldZQGnrTmQWcllAk0VvnNSMWUABKo80radZQO0GnUagwllALuii7K3dWUBvhMRA1vhZQLxRP10ZFFpAlHJqXHcvWkCnc7dY8EpaQM27sWyEZlpAJN3+sjOCWkAar15G/p1aQCNqq0HkuVpANL/Zv+XVWkC98fjbAvJaQNz0MrE7DltAkoLMWpAqW0AmNiX0AEdbQCSpt5iNY1tAnYsZZDaAW0A/v/tx+5xbQDlzKt7cuVtAeD2NxNrWW0BpNydB9fNbQHoWF3AsEVxAh0qXbYAuXECtFf5V8UtcQBasvUV/aVxAHkhkWSqHXEAkUZyt8qRcQERrLF/YwlxAC5v3itvgXEAtX/1N/P5cQAbKWcU6HV1AqqNFDpc7XUB+fhZGEVpdQATbPoqpeF1AEkBO+F+XXUAuVfGtNLZdQDEG8sgn1V1ASJo3Zzn0XUBS08amaRNeQOEIwqW4Ml5AhkhpgiZSXkBbbxpbs3FeQJVLUU5fkV5AE7aneiqxXkA3sNX+FNFeQAKGsfke8V5AYuYvikgRX0C1BGTPkTFfQHq0f+j6UV9A34jT9INyX0DF884TLZNfQKNhAGX2s19AP1sVCODUX0Ben9oc6vVfQLEjnmGKC2BALvGiDTAcYEDBSpEi5ixgQAWdjrCsPWBAnj7Qx4NOYEDKgJt4a19gQLe7RdNjcGBA9mM06GyBYEC8FN3HhpJgQPWixYKxo2BAqyuEKe20YECFJ7/MOcZgQJ10LX2X12BAKmyWSwbpYEDV8NFIhvpgQPl+yIUXDGFAdTxzE7odYUCGCtwCbi9hQNiUHWUzQWFAZ2NjSwpTYUBaUOjG8mRhQBX+/OjsdmFAEFX+wviIYUC/yltmFpthQDMBluRFrWFALTs/T4e/YUDb0Pq32tFhQJZ+fTBA5GFA8XKNyrf2YUCqXwKYQQliQHCMxardG2JARujRFIwuYkDwGTToTEFiQBSRCjcgVGJANZmFEwZnYkAOaueP/nliQPE4hL4JjWJAMU3CsSegYkAeDRp8WLNiQLMUFjCcxmJAiERT4PLZYkDU1ICfXO1iQJJnYIDZAGNAbRnGlWkUY0DKlpjyDChjQA4q0anDO2NA5NF7zo1PY0AaULdza2NjQC4/taxcd2NAAiO6jGGLY0Dwex0nep9jQETZSY+ms2NAE+282ObHY0CEnAcXO9xjQIsWzl2j8GNAOePHwB8FZEAY+b9TsBlkQPrOlCpVLmRAMnA4WQ5DZECYjrDz21dkQEyYFg6+bGRAz8eXvLSBZEAIOnUTwJZkQAQBBCfgq2RAwjatCxXBZEC5Eu7VXtZkQD/8V5q962RAAJ+QbTEBZUD4/lFkuhZlQHqLapNYLGVAzzS9DwxCZUDbf0Hu1FdlQBeZA0SzbWVAg2skJqeDZUAbstmpsJllQA8PbuTPr2VAzR5B6wTGZUD4i8fTT9xlQGQli7Ow8mVA1vMqoCcJZkDVS1uvtB9mQP/l5fZXNmZAPPKpjBFNZkD0K5yG4WNmQAvyxvrHemZArVlK/8SRZkBLRVyq2KhmQLN4SBIDwGZAqq9wTUTXZkDnsUxynO5mQKZsapcLBmdAuANu05EdZ0Cl6RE9LzVnQATzJuvjTGdAxXOU9K9kZ0B3TFhwk3xnQHMDh3WOlGdATdtLG6GsZ0Arcut4y8RnQOa7uaUN3WdA+UQpuWf1Z0Bh3sHK2Q1oQA0+IfJjJmhAqPL8RgY/aEAs7CHhwFdoQLyFdNiTcGhApqvwRH+JaEAQ5qk+g6JoQFF5y92fu2hAAHiYOtXUaEBg22ttI+5oQJOauI6KB2lAccQJtwohaUDjlAL/ozppQHKOXn9WVGlAgJLxUCJuaUDU86eMB4hpQFfshksGomlAkWWrph68aUAa8ku3UNZpQKiwt5ac8GlAka9WXgILakBWA6ongiVqQGDgSwwcQGpAILbvJdBaakDrQmKOnnVqQJeyiV+HkGpAkLNls4qrakA8kQ+kqMZqQExPukvh4WpAPbGvxDT9akBrhlwpoxhrQKmDPpQsNGtArYTwH9FPa0AZlifnkGtrQAKysgRsh2tAHdh7k2Kja0C6ZoeudL9rQDVH9HCi22tA+hX89ev3a0BoQvNYURRsQC0qSbXSMGxAkS2IJnBNbEDp01XIKWpsQK7acrb/hmxAWlq7DPKjbEDS3ibnAMFsQPp7yGEs3mxAe+/OmHT7bED/u4So2RhtQIRAUK1bNm1AANizw/pTbUAc8k0It3FtQJ4x2ZeQj21APYAsj4etbUDmOTsLnMttQH03FSnO6W1AAPXmBR4IbkCFrfm+iyZuQHBxs3EXRW5AIkyXO8FjbkBXWkU6iYJuQNDheotvoW5AjHoSTXTAbkB8IwSdl99uQBpfZZnZ/m5A1VFpYDoeb0DU5mAQuj1vQGDbusdYXW9A2+8DpRZ9b0DV+ObG85xvQKcBLUzwvG9A6GW9Uwzdb0Ah+Z38R/1vQLeK+bLRDnBAu+N/Vw8fcEDX85L7XC9wQIoa8666P3BAhDxwgShQcECo0emCpmBwQHj0TsM0cXBA1HGeUtOBcEDg1uZAgpJwQPWDRp5Bo3BAYrjrehG0cEAmpBTn8cRwQFJ3D/Pi1XBAMXM6r+TmcEA+9AMs9/dwQDKM6nkaCXFAWAh9qU4acUBVhVrLkytxQN6BMvDpPHFAsejEKFFOcUA2KeKFyV9xQJ4+axhTcXFAwsVR8e2CcUAbDpghmpRxQOQlUbpXpnFARvCgzCa4cUAEMLxpB8pxQBFR5qL523FA9qd6if3tcUCput4uEwByQMYRi6Q6EnJACPQJ/HMkckDC/fZGvzZyQBvy/pYcSXJA4P/f/YtbckAA0WmNDW5yQMKXfVehgHJABSQObkeTckDJ8x/j/6VyQBVFycjKuHJA3CYyMajLckC/hpQumN5yQP5LPNOa8XJATF2HMbAEc0BGwOVb2BdzQNea2WQTK3NAkVT3XmE+c0BCn+VcwlFzQCSOXXE2ZXNAfaAqr714c0DC3iopWIxzQN/hTvIFoHNAIe6ZHcezc0ClASK+m8dzQETkD+eD23NAwz+fq3/vc0Cyrh4fjwN0QB7O71SyF3RA1FaHYOkrdEB/Jm1VNEB0QEpaPEeTVHRAnl6jSQZpdEDjAGRwjX10QCaIU88oknRAgr9aetimdEDIEHaFnLt0QHuWtQR10HRAtys9DGLldEDKhESwY/p0QE47FwV6D3VAQeoUH6UkdUAbPLES5Tl1QOIAdPQ5T3VAYkD52KNkdUCpUPHUInp1QOfmIP22j3VAhy5hZmCldUBa2Z8lH7t1QEU330/z0HVAQE02+tzmdUBO4NA53Px1QPiQ7yPxEnZAUvPnzRspdkBfmCRNXD92QFgtJbeyVXZA1Il+IR9sdkAxx9qhoYJ2QNJZ+U06mXZADxuvO+mvdkC0aOaArsZ2QFk1nzOK3XZAKx/vaXz0dkByhwE6hQt3QKedF7qkIndAJYSIANs5d0DyWcEjKFF3QMZURTqMaHdAbdqtWgeAd0A5jaqbmZd3QJBoARRDr3dAjNaO2gPHd0AAxEUG3N53QEO4L67L9ndAs+Rs6dIOeEBd4jfP8SZ4QKFN13YoP3hAwtiz93ZXeEBv/Ulp3W94QH4JLONbiHhAcjoEffKgeEAAFJROobl4QPiDtG9o0nhA8vJV+EfreEBsX4AAQAR5QKZzU6BQHXlA1ZYG8Hk2eUBwDukHvE95QOQVYgAXaXlAv+Xw8YqCeUCr4yz1F5x5QJKkxSK+tXlABRODk33PeUC2f0VgVul5QMS8BaJIA3pAH4/VcVQdekDjYt7oeTd6QLZtYyC5UXpAbXXAMRJsekCmN2o2hYZ6QOmG7kcSoXpAy1z0f7m7ekC8/Dv4etZ6QL0An8pW8XpAh3wQEU0Me0BwFJ3lXSd7QLUPa2KJQntA9ni6oc9de0AeO+W9MHl7QFnIWtGslHtA/cyx9kOwe0D6/I1I9st7QGutseHD53tArYj53KwDfEDv/ltVsR98QGc662XRO3xATabTKQ1YfECEV1y8ZHR8QGlP5zjYkHxA2nXxumetfECzzBJeE8p8QOSE/j3b5nxAthODdr8DfUCpVoojwCB9QIWgGWHdPX1AcOdRSxdbfUCUzW/+bXh9QKHGy5bhlX1AYjTaMHKzfUA3fivpH9F9QKAibNzq7n1AJfRkJ9MMfkBkBfvm2Cp+QMftLzj8SH5AOdchOD1nfkCVlAsEnIV+QGy7RLkYpH5AbdFBdbPCfkAXXJRVbOF+QJv/6ndDAH9Ak54R+jgff0Cwb/H5TD5/QMwdkZV/XX9AYPAU69B8f0Ahz74YQZx/QHZ/7jzQu39A46Ihdn7bf0Dg6fPiS/t/QF2VD1GcDYBA47w9aaIdgEAnp39JuC2AQMTQXwHePYBASAJ4oBNOgEBTYnE2WV6AQKmDBNOuboBA8Hf5hRR/gEBV1idfio+AQCbVdm4QoIBAB1Ldw6awgEAD42FvTcGAQJHoGoEE0oBAGJouCczigEBgF9MXpPOAQDF3Tr2MBIFAg9f2CYYVgUDabTIOkCaBQJeSd9qqN4FAotxMf9ZIgUDaIUkNE1qBQNORE5Vga4FAysJjJ798gUDCxAHVLo6BQAArxq6vn4FAwyGaxUGxgUCXfncq5cKBQO/OaO6Z1IFAV2eJImDmgUBGfgXYN/iBQE3iFiAhCoJAtTUSDBwcgkCxWlOtKC6CQB/mSRVHQIJAAn13VXdSgkA79m5/uWSCQIRG1KQNd4JAkb1c13OJgkA4Fs8o7JuCQKOTA6t2roJA1A/kbxPBgkATAGyJwtOCQC2TqAmE5oJAGcK4Alj5gkCvXM2GPgyDQMUZKag3H4NAsrAgeUMyg0B15hoMYkWDQDickHOTWINAXeMMwtdrg0BkGC0KL3+DQLfioF6ZkoNAe1oq0hamg0BlCZ53p7mDQOYJ42FLzYNAVxHzowLhg0BTiNpQzfSDQAeVuHurCIRAAje/N50chED+VDOYojCEQJ7RbLC7RIRAtZLWk+hYhEC/rO5VKW2EQLZXRgp+gYRAnhuCxOaVhEAB1lmYY6qEQHDOmJn0voRABsod3JnThEASIttzU+iEQLHV1nQh/YRAjZgq8wMShUAI7gMD+yaFQC43pLgGPIVAD8dgKCdRhUCd+KJmXGaFQDM/6Ieme4VA2zrCoAWRhUBv1dbFeaaFQPlF4AsDvIVAajKth6HRhUCMuiBOVeeFQA+SMnQe/YVAnxTvDv0ShkD8WXcz8SiGQBVBAff6PoZAuZbXbhpVhkB7GFqwT2uGQD+V/dCagYZAEvpL5vuXhkDsa+QFc66GQHNbe0UAxYZAtJnauqPbhkDHauF7XfKGQKSfhJ4tCYdA56nOOBQgh0AYrN9gETeHQPWT7SwlTodAzjBEs09lh0BlRkUKkXyHQJCjaEjpk4dAdzQ8hFirh0BTHWTU3sKHQHLImk982odA4A6xDDHyh0A3M44i/QmIQCwIMKjgIYhAHRiwtNs5iEDLbi9f7lGIQOwN9b4YaohAYg1b61qCiECn8ND7tJqIQDhj3Qcns4hAdpgeJ7HLiEDL+0lxU+SIQL9lLP4N/YhAgxGq5eAViUD2y74/zC6JQNL3fSTQR4lAE7YSrOxgiUBV7r/uIXqJQEho4ARwk4lAoP7mBtesiUDJf14NV8aJQD4D6jDw34lAU8dEiqL5iUARfkIybhOKQLVNz0FTLYpA79Lv0VFHikA55MH7aWGKQCOAetibe4pABAlpgeeVikCiRvUPTbCKQHX9n53MyopAth4DRGblikAL09EcGgCLQJaG2EHoGotAKxX9zNA1i0Cy2z7Y01CLQJjGtn3xa4tACJSX1ymHi0D+rC0AfaKLQA573xHrvYtAmRcnJ3TZi0D+eataGPWLQPQQG8fXEIxAwOlEh7IsjEBiqhG2qEiMQJlKhW66ZIxAC7S+y+eAjEC/EPfoMJ2MQO9SguGVuYxAHmzP0BbWjED9SmjSs/KMQKLv8QFtD41AnKsse0IsjUBmC/RZNEmNQBogP7pCZo1AQH0guG2DjUABV8ZvtaCNQB+qev0Zvo1AfEijfZvbjUDL/MEMOvmNQLStdMf1Fo5AqGp1ys40jkCVi5oyxVKOQLzU1hzZcI5ACHY5pgqPjkBlau7rWa2OQM05PgvHy45A+GqOIVLqjkCeT2FM+wiPQBlhVqnCJ49ATUkqVqhGj0C26bZwrGWPQF+f8xbPhI9AJDT1ZhCkj0CNK+5+cMOPQMifLn3v4o9ALVkSwEYBkEBRKC5TJRGQQIvWP4cTIZBAioWraxExkECBfuQPH0GQQDZMbYM8UZBA7LrX1WlhkEB06cQWp3GQQCtj5VX0gZBA1Rz5olGSkEBPks8Nv6KQQF3WR6Y8s5BAz5NQfMrDkEDNLuifaNSQQIbIHCEX5ZBAlFMMENb1kEDtm+R8pQaRQG9f43eFF5FAxmRWEXYokUDVcJtZdzmRQJlyIGGJSpFAeYBjOKxbkUA/9PLv32yRQBVxbZgkfpFAcQKCQnqPkUCACvD+4KCRQDOKh95YspFAE/0o8uHDkUB2g8VKfNWRQNXtXvkn55FAK80HD+X4kUBFhOOcswqSQEizIbSTHJJAO94QZoUukkCCfQLEiECSQI2+XN+dUpJA6QSZycRkkkBF40CU/XaSQNdE71BIiZJA2lxQEaWbkkDVyyHnE66SQH6lMuSUwJJATpJjGijTkkA6zKabzeWSQOc8AHqF+JJADo2Fx08Lk0A1NF6WLB6TQBKMw/gbMZNApdUAAR5Ek0ArcXPBMleTQGOxikxaapNAmC7ItJR9k0CGsr8M4pCTQGI+F2dCpJNA1FKH1rW3k0DrwtptPMuTQB//7j/W3pNAZuyzX4Pyk0BELyzgQwaUQNgcbdQXGpRAvMqeT/8tlECdQvxk+kGUQIxv0ycJVpRApECFqytqlEAEvIUDYn6UQEkMXEOskpRAs6aifgqnlEDaOgfJfLuUQAnjSjYD0JRALzBC2p3klEDwN9XITPmUQFKn/xUQDpVAH+fQ1ecilUAsB2wc1DeVQEsGCP7UTJVA477vjuphlUBSDYLjFHeVQGnWMRBUjJVAViiGKaihlUA5SxpEEbeVQLvInXSPzJVAAY/UzyLilUAK/5Zqy/eVQFcC0lmJDZZAJCqHslwjlkBxlMyJRTmWQCJNzfRDT5ZAzhbJCFhllkBNuRTbgXuWQJ72GYHBkZZAXaBXEBeolkBsuWGegr6WQNGG4UAE1ZZAzpqVDZzrlkBDAVIaSgKXQDIyAH0OGZdA5kafS+kvl0Cx/kOc2kaXQC/NGIXiXZdA4xNeHAF1l0D0BWp4NoyXQEvWqK+Co5dAbtKc2OW6l0Dwft4JYNKXQH2EHFrx6ZdAEf8b4JkBmEBWVLiyWRmYQDR84+gwMZhAYDOtmR9JmEA+USbcJWGYQFF0jMdDeZhAOfQtc3mRmECyRW32xqmYQLVNxWgswphADxLI4anamEBcvh55P/OYQDn5iUbtC5lA15zhYbMkmUBUJRXjkT2ZQD98K+KIVplAX1ZDd5hvmUAIEZO6wIiZQKP5aMQBoplAHDErrVu7mUBS9FeNztSZQHqghX1a7plAo69ilv8HmkDuArbwvSGaQCLyXqWVO5pA2yVVzYZVmkB3/qiBkW+aQAluhNu1iZpAl38n9POjmkD+tu3kS76aQELFSse92JpA9l3LtEnzmkB0VxXH7w2bQEPP5xewKJtA9mQbwYpDm0C79KHcf16bQDkAh4SPeZtAip/v0rmUm0Aw3xri/q+bQFuJWMxey5tAowwtrNnmm0BIXhycbwKcQHJezbYgHpxA9/oAF+05nECIgJHX1FWcQGQJdhPYcZxAghe/5faNnECLu5dpMaqcQMXdRbqHxpxAOUMq8/ninEC+o8AviP+cQCK3n4syHJ1ARmp5Ivk4nUCSDBsQ3FWdQOIebXDbcp1A88hzX/ePnUD3rk75L62dQCkmOVqFyp1Ag2qKnvfnnUBtg7XihgWeQGmTSUMzI55Ak+Lx3PxAnkDKvHXM416eQM0XuS7ofJ5AQyW8IAqbnkB3s5u/SbmeQNw8kSin155AqQ3zeCL2nkC1SzTOuxSfQGsh5UVzM59A89Sy/UhSn0De3GcTPXGfQEse7KRPkJ9ApuBE0ICvn0D1+ZSz0M6fQBXsHG0/7p9AMY2djeYGoEBy2jXuvBagQL+MpOeiJqBAWMFFiZg2oEAb3oTinUagQB9Y3AKzVqBA7QLW+ddmoEBz1ArXDHegQMVEI6pRh6BARi7XgqaXoEDm2O1wC6igQPomPoSAuKBAAYquzAXJoEDnJTVam9mgQNG91zxB6qBAxQeshPf6oEANYtdBvguhQBUyj4SVHKFA9M8YXX0toUAlhsnbdT6hQAPDBhF/T6FALCFGDZlgoUAAZg3hw3GhQBGr8pz/gqFAL0acUUyUoUD7DMEPqqWhQLdDKOgYt6FAOKCp65jIoUA9mS0rKtqhQLszrbfM66FABS4yooD9oUDYgtD7RQ+iQJi4wNUcIaJAjZU4QQUzokD0GYRP/0SiQMzvARILV6JAg/chmihpokBRu2T5V3uiQE8FXEGZjaJAK+yqg+yfokCL2AXSUbKiQBHFMj7JxKJAbPEI2lLXokCzeXG37umiQG7cZuic/KJAh3f1fl0Po0D4VzuNMCKjQBlpaCUWNaNATIa+WQ5Io0AxeZE8GVujQJ0gR+A2bqNAvnZXV2eBo0AcsUy0qpSjQIgowwkBqKNArbdpamq7o0CZbAHp5s6jQMP+XZh24qNAj4Nlixn2o0B40RDVzwmkQApZa4iZHaRA7lKTuHYxpEDcyrl4Z0WkQNqyItxrWaRAgvIk9oNtpEAhjCrar4GkQE6AsJvvlaRA8S5HTkOqpECMDpIFq76kQK8JSNUm06RA9W8z0bbnpEAuATINW/ykQIYdNZ0TEaVAB81BleAlpUAqtnAJwjqlQExf7g24T6VAZS/7tsJkpUC1ZusY4nmlQPJcJ0gWj6VAN4krWV+kpUB7iYhgvbmlQLQk43Iwz6VAFJ/0pLjkpUCAlYoLVvqlQOkBh7sIEKZAL6PgydAlpkBFvqJLrjumQApe7VWhUaZAsUv1/alnpkCuPQRZyH2mQEbteHz8k6ZAwAbHfUaqpkCJZndypsCmQLUZKHAc16ZAqH6MjKjtpkAIOm3dSgSnQFd+qHgDG6dAuwwydNIxp0D7IxPmt0inQFHgauSzX6dAu/RthcZ2p0B0EWff742nQEvWtggwpadAvfLTF4e8p0AAIEsj9dOnQPBYv0F666dAYOPpiRYDqEC0QJoSyhqoQCvLwPKUMqhAOKBFQXdKqECRIEYVcWKoQPHe7oWCeqhAq3B/qquSqECc+06a7KqoQDJTzGxFw6hA8Tx9ObbbqEAmlv4XP/SoQGPjBCDgDKlAZ4pbaZklqUAEsOULaz6pQA7CnR9VV6lAuwmWvFdwqUChQPj6compQL9YBvOmoqlAcYMZvfO7qUCNoKNxWdWpQGIILinY7qlARqha/G8IqkAHjeMDISKqQIAMm1jrO6pATfBrE89VqkBvrFlNzG+qQGSzgR/jiapAWPwVoxOkqkCzYmXxXb6qQDlI1iPC2KpA1GHoU0DzqkBqHTSb2A2rQMZaaxOLKKtAzUpZ1ldDq0DCV+L9Pl6rQD+9BKRAeatAPbzX4lyUq0C3hYDUk6+rQE8jY5PlyqtAp9zXOVLmq0DGIl7i2QGsQKFkjqd8HaxAIp4apDo5rEAK0NHyE1WsQKAanK4IcaxAirB78hiNrEBU5Y3ZRKmsQH9ICn+MxaxAYZlD/u/hrEDLU6dyb/6sQM7IvfcKG61A168qqcI3rUDWwayillStQBpjHgCHca1A8eF03ZOOrUC2jsFWvautQAICMYgDya1AKd0LjmbmrUBhYLaE5gOuQODxsIiDIa5AIeGXtj0/rkDT2CMrFV2uQKeNKQMKe65A6maaWxyZrkBd44NRTLeuQEahEAKa1a5AyqSHigX0rkBOuUwIjxKvQJ/g4Jg2Ma9Au8rhWfxPr0Az1App4G6vQHkgNOTija9AeJBT6QOtr0CVMXyWQ8yvQDAv3wmi669A3HrlsI8FsEBjCFbeXRWwQEBghpw7JbBAgtDK+ig1sEArtYYIJkWwQJ2FLNUyVbBANPs9cE9lsECrEUzpe3WwQA8S90+4hbBAmKbuswSWsEAkF/IkYaawQG3nz7LNtrBAZGFmbUrHsEC+XqNk19ewQPZihKh06LBAGsgWSSL5sEDei3dW4AmxQIap0+CuGrFA+h1o+I0rsUCEs4GtfTyxQIFwfRB+TbFAikDIMY9esUDujd8hsW+xQKmnUPHjgLFAYmK5sCeSsUCj9sdwfKOxQHjwOkLitLFA7lXhNVnGsUBHy5pc4dexQI+nV8d66bFAQskYhyX7sUDdu+as4QyyQEqH9kmvHrJAD2Zxb44wskDlkpouf0KyQIrAyJiBVLJAsl1iv5VmskCJz96zu3iyQCjNxofzirJA+T+0TD2dskA6fVIUma+yQMMhXvAGwrJAunSl8obUskCJ9QctGeeyQOsfd7G9+bJASND1kXQMs0Bcr5jgPR+zQNFghq8ZMrNAmyf3EAhFs0AnaDUXCVizQFNTndQca7NA7n6dW0N+s0CFdLa+fJGzQKznehDJpLNATwKQYyi4s0AJMa3KmsuzQOpGnFgg37NAUrs5ILnys0DnY3Q0ZQa0QDQKTqgkGrRACcDajvcttECB4EH73UG0QP8mvQDYVbRAurOZsuVptECpNDckB360QOvTCGk8krRAyMeUlIWmtEBPJHS64rq0QJPZU+5Tz7RAusvzQ9njtEBinSfPcvi0QNk51qMgDbVAaFD61eIhtUCROaJ5uTa1QDPH76KkS7VA9SEZZqRgtUAz/2fXuHW1QEj5OQviirVA8yUBFiCgtUAkH0MMc7W1QLZwmgLbyrVAfUa1DVjgtUDnu1ZC6vW1QBrFVbWRC7ZAklaee04htkAT1DCqIDe2QDdSIlYITbZA7aWclAVjtkBUjt56GHm2QF1lOx5Bj7ZA3yIclH+ltkDsPv7x07u2QMqwdE0+0rZA8F0nvL7otkC289NTVf+2QJUzTSoCFrdAXVp7VcUst0AoelzrnkO3QOfzAwKPWrdAhyWbr5Vxt0AeOGEKs4i3QAslqyjnn7dAB9jjIDK3t0AXh4wJlM63QBtDPPkM5rdAtrqgBp39t0BYP31IRBW4QMrDutUCLbhAbNUsxdhEuECYleotxly4QDBIFCfLdLhA893bx+eMuEDPTY0nHKW4QO77il1ovbhAWbxOgczVuEDaOmmqSO64QClagvDcBrlAU5ZZa4kfuUAgaMUyTji5QA==\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2806\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2805\",\"type\":\"UnionRenderers\"}},\"id\":\"2713\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"2659\",\"type\":\"HelpTool\"},{\"attributes\":{},\"id\":\"2642\",\"type\":\"LogScale\"},{\"attributes\":{\"label\":{\"value\":\"\\u03c1 = 0\"},\"renderers\":[{\"id\":\"2716\",\"type\":\"GlyphRenderer\"}]},\"id\":\"2731\",\"type\":\"LegendItem\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"2654\",\"type\":\"PanTool\"},{\"id\":\"2655\",\"type\":\"WheelZoomTool\"},{\"id\":\"2656\",\"type\":\"BoxZoomTool\"},{\"id\":\"2657\",\"type\":\"SaveTool\"},{\"id\":\"2658\",\"type\":\"ResetTool\"},{\"id\":\"2659\",\"type\":\"HelpTool\"}]},\"id\":\"2660\",\"type\":\"Toolbar\"},{\"attributes\":{\"source\":{\"id\":\"2681\",\"type\":\"ColumnDataSource\"}},\"id\":\"2685\",\"type\":\"CDSView\"},{\"attributes\":{\"line_color\":\"#deebf7\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2714\",\"type\":\"Line\"},{\"attributes\":{\"line_color\":\"#4292c6\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2682\",\"type\":\"Line\"},{\"attributes\":{\"text\":\"\"},\"id\":\"2673\",\"type\":\"Title\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2715\",\"type\":\"Line\"},{\"attributes\":{\"items\":[{\"id\":\"2680\",\"type\":\"LegendItem\"},{\"id\":\"2695\",\"type\":\"LegendItem\"},{\"id\":\"2712\",\"type\":\"LegendItem\"},{\"id\":\"2731\",\"type\":\"LegendItem\"}],\"location\":\"top_left\"},\"id\":\"2679\",\"type\":\"Legend\"},{\"attributes\":{\"data_source\":{\"id\":\"2667\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2668\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2669\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2671\",\"type\":\"CDSView\"}},\"id\":\"2670\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"callback\":null,\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[2000]}},\"selected\":{\"id\":\"2711\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"2710\",\"type\":\"UnionRenderers\"}},\"id\":\"2681\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"data_source\":{\"id\":\"2713\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2714\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"2715\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"2717\",\"type\":\"CDSView\"}},\"id\":\"2716\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"source\":{\"id\":\"2713\",\"type\":\"ColumnDataSource\"}},\"id\":\"2717\",\"type\":\"CDSView\"}],\"root_ids\":[\"2635\"]},\"title\":\"Bokeh Application\",\"version\":\"1.4.0\"}};\n",
" var render_items = [{\"docid\":\"01b1ccbd-ad3c-467a-8ea7-f2c301513893\",\"roots\":{\"2635\":\"ad4da031-c952-4f06-b30c-71b8eee98995\"}}];\n",
" root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
"\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
" var attempts = 0;\n",
" var timer = setInterval(function(root) {\n",
" if (root.Bokeh !== undefined) {\n",
" clearInterval(timer);\n",
" embed_document(root);\n",
" } else {\n",
" attempts++;\n",
" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
"metadata": {
"application/vnd.bokehjs_exec.v0+json": {
"id": "2635"
}
},
"output_type": "display_data"
}
],
"source": [
"p = bokeh.plotting.figure(\n",
" width=400,\n",
" height=300,\n",
" x_axis_label=\"β\",\n",
" y_axis_label=\"γ\",\n",
" x_axis_type=\"log\",\n",
" y_axis_type=\"log\",\n",
" y_range=[1, 1e4],\n",
" x_range=[1, 1e5],\n",
")\n",
"\n",
"for rho, color in zip([1e-2, 1e-3, 1e-4, 0], colors[::2]):\n",
" gamma = gamma_bifurcation(beta, 2, rho)\n",
" p.line(beta, gamma, line_width=2, color=color, legend_label=f\"ρ = {rho}\")\n",
"\n",
"p.legend.location = \"top_left\"\n",
"\n",
"bokeh.io.show(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The repressilator design objectives\n",
"\n",
"Compared to the protein-only analysis, adding in the mRNAs gave us some additional insights. We see that when the protein and mRNA decay times are comparable, the effective delay around the loop is longer, reducing the minimum Hill coefficient and promoter strength required for oscillations. \n",
"\n",
"From this analysis we can extract several design objectives or guidelines that will optimize the chances of achieving self-sustaining oscillations. An ideal system should use:\n",
"\n",
"1. Low \"leakiness:\" $\\rho \\ll 1$ ⟶ *Use tight, artificial promoters that can be fully repressed.*\n",
"\n",
"2. Strong promoters: $\\beta \\gg 1$ ⟶ *Can be achieved using strong promoters derived from phages that produce high protein levels*\n",
"\n",
"3. Similar protein and mRNA decay rates $\\gamma\\approx 1$ ⟶ *Destabilize repressors to increase their decay rates to be more comparable to those of mRNA. This can be done by adding destabilizing C-terminal tags based on the [ssrA protein degradation system](https://doi.org/10.1038/75843).*\n",
"\n",
"
\n",
"\n",
"*The protein production shut off was at time zero. This plot shows how adding different variants of the 11-amino acid ssrA tag can alter the decay rate of a fluorescent protein. The gap in data due to technical glitch.*\n",
"\n",
"4. Ultrasensitive repression curves, ideally $n > 1.5$ or $2$, or as large as possible ⟶ *Use intrinsically cooperative repression mechanisms, such as those from phage λ, or those that incorporate multiple binding sites, such as those in the TetR system. [Lutz & Bujard](https://academic.oup.com/nar/article/25/6/1203/1197243) showed that the phage λ* $P_R$ *promoter architecture provides a high regulatory range, and can be adapted to work with binding sites for LacI and TetR*.\n",
" \n",
"Additional biological design goals:\n",
"\n",
"5. To minimize toxicity from overexpressing repressors, put the circuit on a low copy plasmid (pSC101)...\n",
"\n",
"6. ...But to maximize the readout, put a fluorescent reporter gene on a higher copy number plasmid (ColE1).\n",
"\n",
"7. Destabilize the fluorescent protein so that it can track the circuit activity\n",
"\n",
"8. Avoid \"read through\" from one operon to the next ⟶ add transcriptional terminators between promoter-repressor units.\n",
"\n",
"Based on these considerations, we designed the repressilator as a two plasmid system to be used in an *E. coli* strain deleted for the natural *lac* operon.\n",
"\n",
"
\n",
"\n",
"Here, the repressilator consists of three repressors on the low copy pSC101 plasmid, with TetR additionally repressing a green fluorescent protein reporter on the higher copy ColE1 plasmid. The _lite_ suffix on the repressors signifies that they have a destruction tag to decrease their stability. The _aav_ suffix on the GFP indicates that it is a variant of intermediate stability. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Will it work?\n",
"\n",
"It took a long time to design and then construct the repressilator. In addition to the molecular cloning, there were many steps to characterize the repressors and promoters and make sure signals could propagate through sequential repressor cascades. \n",
"\n",
"After all of this, there was more than a little uncertainty as to whether the system would, indeed, exhibit self-sustaining oscillations.\n",
"\n",
"We did not expect that cells would be synchronized within a population. Therefore, we used time-lapse imaging to record movies of individual cells growing into microcolonies. (Lacking automated autofocus systems, one author slept near the microscope with an alarm clock to refocus the microscope every hour, all night long, exemplifying another important role for clocks in science and technology.) \n",
"\n",
"In [these movies](figs/repressilator_movie.mov), the changing fluorescence intensity in each cell provided a glimpse into the state of the oscillator over time:\n",
"\n",
"
\n",
"\n",
"\n",
"\n",
"
\n",
"\n",
"This movie shows both clear oscillations in individual cells, as well as variability among cells in the amplitude, phase, and duration of each pulse. Analyzing these movies was done by manually tracking each cell backwards in time. This would now be done in a more automated fashion.\n",
"\n",
"
\n",
"\n",
"\n",
"Analysis of many cells showed a typical repressilator period of 160 ± 40 min (SD, *n* = 63), with a cell division time of ≈50-60 min at 30°C. Sibling cells desynchronized with one another over about two cell cycles (95 ± 10 min). "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Can the repressilator be improved?\n",
"\n",
"In Potvin-Trottier et al, [Nature, 2016](https://doi.org/10.1038/nature19841), Johan Paulsson and colleagues asked what accounted for the repressilator's variability and whether it could be further improved. The following is based on [Gao & Elowitz, Nature, 2016](https://doi.org/10.1038/nature19478): \n",
"\n",
"* **Observationi method**. Instead of growth on agarose pads, where waste products can build up and influence cell growth and behavior, they switched to a microfluidic device developed by [Suckjoon Joon](https://jun.ucsd.edu/) termed \"[the mother machine](https://doi.org/10.1016/j.cub.2010.04.045),\" which allows continuous observation of single cells over hundreds of generations by trapping it at the end of a channel (for more info, see [Suckjoon's website](https://jun.ucsd.edu/mother_machine.php)). This revealed that, despite its variability, the original repressilator exhibited self-sustaining oscillations that never terminate.\n",
"\n",
"* **Integration of reporter**. Now able to analyze the dynamics in more constant conditions, they found that much of this variation could be attributed to the reporter plasmid itself. Integrating the reporter into the repressilator plasmid reduced this variability, as seen in the [movie](figs/integrated_reporter_movie.mov) and traces below.\n",
"\n",
"
\n",
"\n",
"* **The problem with TetR**. A nice property of TetR is that it binds extremely tightly to its operator site. But this tightness of binding creates a problem as well. It means that the timing of de-repression by TetR depends sensitively on when the final molecules of TetR are degraded or diluted from the cell, as shown in the following figure from Potvin-Trottier et al. This leads to variability in the overall period. However, this effect can be mitigated by inclusion of a \"DNA sponge\"–a plasmid containing extra TetR binding sites. (In fact, in the original repressilator design the reporter plasmid fortuitously played this role.)\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* **Degradation machinery**. Finally, an additional source of variability stemmed from fluctuations in the protein degradation machinery. This could be circumvented by reducing the amounts of repressor made, or eliminating their degradation altogether. Of course, without protein degradation, oscillation periods stretch out to as much as 14 cell cycles, but with such a high precision that it would take 180 cell cycles to accumulate a half-period of phase drift! A remarkably precise clock. \n",
"\n",
"Here, with three colors to allow simultaneous observation of all three repressors, is one of the final repressilator designs as [a movie](figs/repressilator_titration_sponge_movie.mov) and a typical trace.\n",
"\n",
"
\n",
"\n",
"In fact, this is so accurate that you can [see it in a test tube](figs/repressilator_in_a_tube.mp4).\n",
"\n",
"
\n",
"\n",
"\n",
"\n",
"
\n",
"\n",
"Or you can see it in the \"tree rings\" of a bacterial colony.\n",
"\n",
"
\n",
" \n",
"\n",
" \n",
"
\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conclusions\n",
"\n",
"* Limit cycles are stable orbits in phase space. Circuits that generate limit cycle dynamics are ideal for self-sustaining oscillations in living cells.\n",
"* The repressilator uses a cycle of three repressors to create a delayed negative feedback loop.\n",
"* Linear stability analysis allows us to determine the stability of a fixed point.\n",
"* The simplified protein-only repressilator model has a single fixed point, and generates limit cycle oscillations when this point becomes unstable.\n",
"* High Hill coefficients and strong promoters favor oscillations.\n",
"* The model can be extended from 3 to 6 variables to include mRNA as well as proteins. \n",
"* The extended model further shows that destabilizing proteins to make the decay rates of mRNA and protein more similar should also favor oscillations and reduce the minimum Hill coefficient required for oscillations.\n",
"* A repressilator designed to meet these conditions shows self-sustaining oscillations in individual *E. coli* cells.\n",
"* Recently, several features of this circuit were improved to create an oscillator of astonishing precision.\n",
"* Further, this oscillator has now been used to record the growth dynamics of E. coli cells in mouse gut. For more details, see [Riglar et al, Nature Comm., 2019](https://doi.org/10.1038/s41467-019-12638-z). "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Computing environment"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-05T00:52:08.101915Z",
"start_time": "2019-06-05T00:52:08.094114Z"
},
"tags": [
"hide_input"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPython 3.7.6\n",
"IPython 7.12.0\n",
"\n",
"numpy 1.18.1\n",
"scipy 1.4.1\n",
"bokeh 1.4.0\n",
"matplotlib 3.0.3\n",
"panel 0.8.3\n",
"jupyterlab 1.2.6\n"
]
}
],
"source": [
"%load_ext watermark\n",
"%watermark -v -p numpy,scipy,bokeh,matplotlib,panel,jupyterlab"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}