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<!DOCTYPE html
PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html><head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<title>Wilson-Cowan simulation code</title><meta name="generator" content="MATLAB 9.2"><link rel="schema.DC" href="http://purl.org/dc/elements/1.1/"><meta name="DC.date" content="2017-12-20"><meta name="DC.source" content="examples.m"><style type="text/css">
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</style></head><body><div class="content"><h1>Wilson-Cowan simulation code</h1><p>This script shows how to perform simulations using the code</p><h2>Contents</h2><div><ul><li><a href="#1">Basic usage</a></li><li><a href="#2">Equivalent with WC object</a></li><li><a href="#5">Add noise</a></li><li><a href="#6">Changing the constant input</a></li><li><a href="#7">Two units</a></li><li><a href="#9">Two units, with delays</a></li><li><a href="#11">Cortical network</a></li><li><a href="#17">Change step size</a></li><li><a href="#19">Downsample</a></li><li><a href="#20">Set the ISP target and rate</a></li><li><a href="#21">Rescaling firing rate</a></li><li><a href="#23">Load a saved run and compute FC metrics</a></li><li><a href="#27">Reproducing Fig. 5 from scratch</a></li></ul></div><h2 id="1">Basic usage</h2><p>The foundation of the code is <tt>integrate_wc</tt> which takes in the parameters for each neural population, the long-range coupling and delay matrices, integration duration and step size, and external input and initial conditions.</p><p>Basic usage for the unit parameters used in the paper are shown below:</p><pre class="codeinput">unit.mu = [1 1];
unit.sigma = [0.2500 0.2500];
unit.qmax = [1 1];
unit.tau = [0.0100 0.0200];
unit.r = [0 0];
unit.isp_rate = [0 0];
unit.isp_target = [0 0];
unit.ce = [3.5000 3.7500];
unit.ci = [-2.5000 0];
coupl = 0;
delay = 0;
tspan = 1;
dt = 5e-5;
input(1).time = [0 tspan/2 tspan];
input(1).vals = [0.33 0.33 0.33];
input(2).time = [0 tspan/2 tspan];
input(2).vals = [0 0 0];
hist.time = [-5.0000e-05 0];
hist.vals = [0.4360 0.4360;<span class="keyword">...</span>
0.0259 0.0259];
[sol,sys] = integrate_wc( unit, coupl, delay, input, hist, tspan, dt );
figure
plot(sol.time,sol.vals(1,:));
xlabel(<span class="string">'Time'</span>)
ylabel(<span class="string">'Firing rate (normalized)'</span>)
title(<span class="string">'Basic WC simulation'</span>)
</pre><img vspace="5" hspace="5" 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" alt=""> <h2 id="2">Equivalent with WC object</h2><p>The code above is quite verbose - to simplify things, we can perform the same simulation using the provided Wilson-Cowan model object. First, load in the model parameters</p><pre class="codeinput">u = ra.unit.deco_10
</pre><pre class="codeoutput">
u =
struct with fields:
cee: 3.5000
cie: -2.5000
cei: 3.7500
cii: 0
E: [1×1 struct]
I: [1×1 struct]
</pre><p>This is a struct that stores the model parameters used in the paper. Then construct a WilsonCowan object with 1 EI unit and set the same integration and sampling rate used above</p><pre class="codeinput">wc = ra.model.WilsonCowan(u,ra.network.null(1));
wc.options.tspan = 1;
wc.options.tstep = 5e-5;
</pre><p>And run it</p><pre class="codeinput">wc.run()
hold <span class="string">on</span>
plot(wc.excitatory.time,wc.excitatory.vals,<span class="string">'r--'</span>)
l = legend(<span class="string">'integrate_wc'</span>,<span class="string">'WilsonCowan object'</span>);
set(l,<span class="string">'Interpreter'</span>,<span class="string">'none'</span>)
title(<span class="string">'Comparison of different ways to run the simulation'</span>)
</pre><pre class="codeoutput">Using Matlab solver
</pre><img vspace="5" hspace="5" 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" alt=""> <h2 id="5">Add noise</h2><p>To add noise, set the noise amplitude in the unit parameters. <tt>u.E.P</tt> and <tt>u.I.P</tt> correspond to an external input term with mean <tt>mu</tt> and standard deviation <tt>sigma</tt>. So set <tt>u.E.P.sigma</tt> and <tt>u.I.P.sigma</tt> to add noise to the excitatory and inhibitory populations</p><pre class="codeinput">u = ra.unit.deco_10;
u.E.P.sigma = 0.1;
u.I.P.sigma = 0.1;
wc = ra.model.WilsonCowan(u,ra.network.null(1));
wc.options.tspan = 1;
wc.options.tstep = 5e-5;
wc.run()
figure
plot(wc)
title(<span class="string">'WC simulation with noise'</span>)
</pre><pre class="codeoutput">Using Matlab solver
</pre><img vspace="5" hspace="5" 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" alt=""> <h2 id="6">Changing the constant input</h2><p>If you want to change the constant input (e.g. to go from a stable fixed point to limit cycle oscillations), change <tt>u.E.P.mu</tt> and <tt>u.I.P.mu</tt></p><pre class="codeinput">u = ra.unit.deco_10;
u.E.P.mu = 0.4;
wc = ra.model.WilsonCowan(u,ra.network.null(1));
wc.options.tspan = 1;
wc.options.tstep = 5e-5;
wc.run()
plot(wc)
title(<span class="string">'WC simulation with limit cycle due to extra constant input'</span>)
</pre><pre class="codeoutput">Using Matlab solver
</pre><img vspace="5" hspace="5" 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" alt=""> <h2 id="7">Two units</h2><p>Using <tt>ra.network.uniform</tt> we can construct fully connected networks with a given number of units. Here is one with two units/regions and no delay.</p><pre class="codeinput">wc = ra.model.WilsonCowan(u,ra.network.uniform(2));
wc.param.coupling = [0.1 0]; <span class="comment">% The first element is the long range global coupling, the second is E-I long range coupling (not implemented)</span>
wc.param.velocity = inf; <span class="comment">% Setting velocity to inf gives zero delay</span>
wc.options.tspan = 5;
tic;wc.run();toc;
figure
plot(wc)
title(<span class="string">'WC simulation - 2 units, no delay'</span>)
</pre><pre class="codeoutput">Using Matlab solver
Elapsed time is 5.581086 seconds.
</pre><img vspace="5" hspace="5" 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/3+7OzsgoICevyrr746dOjQ+vXrv/766yeeeGLDhg32ygkAAEAz7nBIJSUl6enpHo8nNTW1qamprq4uNjaWEBIbGxsREREIBJqbm30+n+BbzdG9k5OT6ecB9+dbLTQAADgAzgw6H3c4pNra2iFDhtDPPp+Pc0gXXnihx+OZPHnyjz/++PTTT4u/6Pf76YexL31jmbQAAOAcODPofM/kDofk9XobGxvp54aGBq/XSz//61//Sk5OXrlyZW1t7S233HLFFVdERWFrBgAAcCXuqLJLSUkpKSkhhFRVVdXU1PTt2zcQCFRXV9fW1lIP1KNHD4/H09TUZLekAAAANOKOEVJ6enphYWFWVlZlZeWiRYs8Hs+BAwcyMzM/+uijuXPnlpSUnD59etq0aTSPBwAAwI24wyFFRkauWrWKfyQpKWnXrl2EkLVr19okFAAAACNxR8oOAABAyAOHBAAAwBHAIQEAAHAEcEgAAAAcARwSAAAARxDKDqmlex+7RQAAAMBKKDskAAAALgIOCQAAgCOAQwIAAOAI4JAAAAA4gnBxSOU19XaLAAAAQIlwcUgAAAAcDhwSAAAARwCHBAAAwBHAIQEAAHAEcEgAAAAcQSg7pOZobB0EAACuIZQdEgAAABcBhwQAAMARwCEBAABwBHBIAAAAHAEcEgAAAEcAhwQAAMARwCEBAABwBHBIAAAAHAEcEgAAAEfQ1W4BWMnLy9u9e7fH48nOzh42bBg9uHbt2rfeeos756233urZs6dNAgIAANCFOxxScXFxaWlpfn6+3+/Pzs4uKCigxzMzMzMzMwkh33///T//+U94IwAAcC/ucEglJSXp6ekejyc1NbWpqamuri42Npb7a2Nj4+OPP/7yyy+Lv5icnNz+Kes1a0QFAABHcdYMOh53OKTa2tohQ4bQzz6fT+CQXnnllZtuuikmJkb8Rb/fTz8kPr7TAjkBAMBpcGbQ+Z7JHQ7J6/U2NjbSzw0NDV6vl/tTY2NjQUHBli1bxN9q7o7dvgEAwDW4o8ouJSWlpKSEEFJVVVVTU9O3b99AIFBdXU0I2bFjx/Dhw/kuCgAAgBtxh0NKT08/fvx4VlbWjBkzFi1a5PF4Dh06NGHCBELIvn37UlJS7BYQAACAXtyRsouMjFy1ahX/SFJS0q5duwgh9957r01CAQAAMBJ3jJAAAACEPHBIAAAAHEG4OKTy6ga7RQAAAKBEuDgkAAAADgcOCQAAgCOAQwIAAOAI4JAAAAA4glB2SGuOP263CAAAAFgJZYdECKlav8xuEQAAADARyg5pYMtJu0UAAADASig7JAAAAC4CDgkAAIAjgEMCAADgCELZIQ1sqWw+UWG3FAAAAJgIZYcEAADARcAhAQAAcARwSAAAABwBHBIAAABHAIcEAADAEdjvkL7//vumpiYzrnyiyf5fBwAAgBH7TfZnn302ceLEpUuXlpaW2i0LAAAA27DfId19991btmwZMWLEihUrMjMz33rrrbq6OqMu3lJ52KhLAQAAMBX7HRIhJCoqavz48VOmTPH5fG+++ea0adOefPLJtrY2u+UCAABgHV3tFoD4/f6NGzd+/PHHl1122axZs0aMGNHW1jZ37tw9e/akpaXZLR0AAACLsN8hFRYWDho06O233+7Zsyc9EhERMWfOnISEBFvlAgAAYCn2O6SZM2f6fL4uXbrQ/x47dqx///6GjI2OdO2boP8qAAAALMH+OaScnJwjR47Qz62trVlZWZKn5eXlZWRkTJ06dc+ePfzjhYWF06dPv+OOO7744gvTZQUAAGAado6QCgoKli5deubMmS+//NLj8RBCIiIihg8fLj6zuLi4tLQ0Pz/f7/dnZ2cXFBTQ4//73//WrFnz5ptvVlVVLVy4cNSoUZb+AAAAAMZhp0OaNGnSpEmTHn300Xnz5g0YMEDhzJKSkvT0dI/Hk5qa2tTUVFdXFxsbSwj5+OOPp0yZsm/fvpaWljVr1ihcIaF3lMHSAwAAMBQ7HdLixYunTJly3nnn/fWvf+UfX7FiheDM2traIUOG0M8+n49zSIcPH/b7/WPHjv3xxx9XrVol+GLX+qrikqpxycmEEJL1mnk/BAAAHEsytYFuwE6HdOutt8bHx48fP/7yyy9XPtPr9TY2NtLPDQ0NXq+Xfu7SpcvVV1991113EUKmTJly5MiRgQMH8r848lcj/Vs2EkISH99p/A8AAADH4/f76QfneyY7HdIvf/lLQkh1dXVaWhpXZSdJSkpKSUnJjTfeWFVVVVNT07dv30AgUFtbe+mll3777beEkEAg8PPPP/fo0cMi0QEAABiN/WXfBQUF77zzzsSJEydNmiTnwNPT0wsLC7OysiorKxctWuTxeA4cOJCZmVlcXLx9+/a77767pqbm9ttv51YyUY507WfJLwAAAGAAEU7Yoef06dOffvppUVFRZWXlhAkTfv/73xty2ed/N/zm4RcMym1P2ZX96UpDLgsAAG4kOTmZS985E/vXIRFCfvGLX6Snp0+dOnXgwIGvvvqqgVduPlFh4NUAAACYh/0pu717927atGn79u1paWmTJ09+6qmn7JYIAACADdjvkHbs2HHRRRctWrSIVnIDAAAIT+xfh9SlS5ft27dv376dOy5ehwQAACDkccc6JAAAACGP/euQmpqaEhMT+bt92ygSAAAAu7C/yo5xt28AAAChjTt2+wYAABDyOGK37wkTJqSlpXm93q+++uo3v/mNUdc/0qUvIbVGXQ0AAICp2J+yS0lJWb58eUREhMfj2bRp01/+8he7JQIAAGAD9jukDz744Pnnn4+Nje3Wrdvf//7377//vqmpyW6hAAAAWI39Dik2Nrauro5+bm1tbWhocML2egAAACzG/p0aZsyYMXfu3FtvvTU2Nnbr1q2XXHJJt27dDLny8l43303wXj4AAHAH9o+QrrrqqldeeSUQCFRUVNxyyy1Lly61WyIAAAA2YP8IiRDi8/l++9vfEkLa2toWL178yCOPREdH2y0UAAAAS7HfIb3++uv/+Mc/fv7554SEhGPHjqWmpnJvKAcAABA+2O+QtmzZsmnTpqKiovj4+LS0tAcffFD5debsdD1TRTDQAgAAl2D/HFLXrl0DgUBqaur+/ftjY2NbWlq4ojsAAADhg/0O6YYbbpg9e3ZCQkJhYeHq1asPHDgQFRVlt1AAAACsxv6UXWZmZkpKSo8ePXJzc4uKip5++mnMIQEAQBhiv0MihKSlpdF/6QcDaa6soB8SfJhNAgAAR2N/yg4AAAAgcEgAAAAcgv0OCbupAgAAIE5wSJ999tnEiROXLl1aWlpqtywAAABsw36HdPfdd2/ZsmXEiBErVqzIzMx86623sA4JAADCEPsdEiEkKipq/PjxU6ZM8fl8b7755rRp05588km8hAIAAMIK+8u+/X7/xo0bP/7448suu2zWrFkjRoxoa2ubO3funj17+FXgeXl5u3fv9ng82dnZw4YN447feeedp0+fJoQMHz78wQcftOEHAAAAMAL7HVJhYeGgQYPefvvtnj170iMRERFz5sxJSEjgzikuLi4tLc3Pz/f7/dnZ2QUFBfR4fX19IBBYu3at9WIDAAAwFvsdUvfu3a+++mrOG1EEK2RLSkrS09M9Hk9qampTU1NdXV1sbCwhZP/+/QMGDCgoKOjVq9fo0aM9HokMZHJyMiFkwP35Zv4IAABwKNQGugL755CioqLeffdd5XNqa2t79epFP/t8Pq7q4ejRo1VVVV6v99NPP33ooYckv+v3+/1+v4ECAwCAi/B3YLcgwbF/hNSzZ881a9bs3LkzISGBDnHEL431er2NjY30c0NDA7fZXXp6enp6Ov0wbty4xsZGo15/DgAAwGLsd0gXXHBBdna28jkpKSklJSU33nhjVVVVTU1N3759A4FAbW3t5s2bL7jggmuuueann35qbW2NjIy0RmYAAACGY79DuvTSS1999dXCwsL6+vrLL7984cKF4nPS09MLCwuzsrIqKysXLVrk8XgOHDiQmZn5zjvv3H///Zs3bz527Nhjjz0mOYcEAADAFdjvkN54442vvvrqqaeeiomJeffddxcsWLBmzRrBOZGRkatWreIfSUpK2rVrFyFkw4YN1skKAADANOwfUmzduvWJJ55ISUkZOHDgH/7wh+bm5p9//tluoQAAAFiN/Q4pJibm2LFj9HNLS0ttbS3eGAsAAGGI/Sm7O+64Y+7cuVOmTImJiSkqKrr66qu7drVfKgAAABZj/whp8ODB27dvb21tPXbs2OzZs2fOnGm3RAAAAGzA/rFITk7Oww8/PH/+fEJIa2vrdddd9+GHHxp18ch+8UZdCgAAgKnY6ZAKCgqWLl165syZL7/8klZsR0REDB8+3KjrR9ZXG3UpAAAAZmOnQ5o0adKkSZMeffTRefPmDRgwwEZJAAAA2I79c0h/+9vfvF7voUOHDh06dPDgwb/85S/19fV2CwUAAMBq7J9Dev311//xj3/8/PPPCQkJx44dS01N5baqAwAAED7Y75C2bNmyadOmoqKi+Pj4tLS0Bx98sEuXLnYLBQAAwGrsT9l17do1EAikpqbu378/Nja2paWFe7uEgST0xmJbAABwNPY7pBtuuGH27NkJCQmFhYWrV68+cOAAdmoAAIAwxH6HlJmZuXTp0h49euTm5p48efLpp58O7TmksS99I3l8Vn4p40GFiyQ+vlPVcbnrSKJWmIiFW1UJI3d9VTc1tQXUCqO2BQx5HHIXlxNGlULKAYV0hULuv2GF/oubiv0O6eTJk5dcckm3bt3S0tKys7PPP/98uyWygdyisvLqBrk/sV9H7iJyx+XuqKorltcYUxUpKWRuUZmqFlB1cQVUxQdGtYAkci2g9hfJoUr4WfmlhiikKtTqgKkKaVQLGNIlbVFIU7HfIeXk5Bw5coR+bm1tzcrKslceszFEV2xROKMsoLqb1qi7qVEWUMOfTMKuFlB1HbUKqVZIyUawRSGdhvUKaSp2OqSCgoIRI0Zs27Zt8uTJI0aMGDFixBVXXHHBBRfYKBIgihbQOdpvWBQscx1JY2fYoMQIcxw+QCGJyQrpHEJ5p4Y++98lg3oZflkzkOty5dUNCT4TSzyMGa6pNa8yqTnZ8y03x65wAHaNkqGQUEjzsNMhLV68eMqUKeedd95f//pX/vEVK5w+82Yltuhi6EVepmJYlkylOc4tKsuZmKj/1qpwjkKW19QTYnXEWV7d4Pw1JO7tv3Y6pFtvvTU+Pn78+PGXX365jWKYRMTCrW3LrrFbCiMxu/9LmmNX9H9XI2Pr3WrRgKuxcw7pl7/8ZWxs7IUXXlhTU5OUlDR06NAzZ86EpHPiY0jwYvbUvfVosIB21BfU25CuqW5wfsAbkgrp/Fo1WxTSVOyvsvvnP//5yiuvREREeDyeTZs2/eUvf7FbIntwvvaTUAycnW/rgSsor26wZX1CiGG/Q/rggw+ef/752NjYbt26/f3vf//++++bmprsFsopKHgp88JJp3UJ8+qLnBaS2y1CJ6QzqA5bb+C0RtOJoxTSFux3SLGxsdzmda2trQ0NDW1tbfaKZB5OUzin+R7gXpym2+Zhfa8Jn35q/27fM2bMmDt37q233hobG7t161a6a4PdQoUFroguy2vqE3zRVt+02g3zB9UN+p+go7xIeY0bZsvsUEjikpS+fuwfIV111VWvvPJKIBCoqKi45ZZbli5dauDFI+PiDbyaeSglJRzfRUFYAYUE5mH/CKm6ujopKSkpKYn+t6Sk5Fe/+pW9IgG5Cmwy2HpZXEBC7yhDlgTJrbaxZYxo8R01YIhC5haVOWddgYFJC1vWqOnH/hFSXl7eypUr29raAoHAs88+m52dLXdaRkbG1KlT9+zZI/hTIBDIzMz0+/3mC6sXV2TJTMXA/q+/MfE4iEGvCjPbprsiYeUcdXKOi1WL/Q5p8eLF//vf/+66666pU6dWVVW988474nOKi4tLS0vz8/NzcnJycnIEf33xxRfr6upaW1stkVcvruj/QBJXLAkChuCKB+0KIVVhv0OKjo6+/vrr9+3bd/LkyUmTJvXo0UN8TklJSXp6usfjSU1NbWpq4r9S9uuvv25qaho2bJjkxYtLipOTk5OTk82S3j7MC8fURqM0YaX3pmFj60M1R2Qedg2PVCmkXc+URcjkDiyQRyf2O6SVK1c+OeO+egAAIABJREFU8cQTr7322quvvvrkk08+/vjj4nNqa2t79WrftMbn83EO6fTp06tXr54/f77cxUf+aqTf73dFNg+owqj+7xzfoAASVqoYM9jnqOpBVZihkP4ODL+y4djvkAYNGrRhw4akpKQLLrhg3bp1kZGR4nO8Xm9jYyP93NDQwL1SdtmyZRdffPGOHTt+/PHHkpKS+nrZfmveFsVGvUFOEqcNGiTlsaUK1tVItpjTnrUkrhBSFc7xowq4IiIxBDsd0q5du9ra2q6//vro6Pb+GRkZeeWVV4rPTElJKSkpIYRUVVXV1NT07ds3EAhUV1ePHTu2T58+J0+ebGhoOHXqVEtLi6U/oANDdNq8ru6oaBH93yhcMbaTJLeobMxgnyGXCj0HGebY6ZAeffRR6kJWrly5fv16evCxxx4Tn5menn78+PGsrKwZM2YsWrTI4/EcOnRowoQJo0ePzsjIyMjISExMnDBhQkxMjKU/gBBilDcy2QLK9X9XGDXnu4cEX7RzHK1RCStb9iNwvkK6YtG0e5MW9q9DIoS0trYq18hFRkauWrWKfyQpKWnXrl3cfyVnnoAyroguXWGkVOEc16WA822uq7EgaeEKNRNj/xxS+FB2z0jJ44dzbpU8fmz5A4wHFS6y/1bpV/GqEqZq/bKq9cvEjkFOGLmLU2HE4ZupLVB2z0jJHJHax1G1fpl+YdQ+Dsnrc5IIQgqFFlB1PNwUkvGmctfXoJBEKmlhi0I6jTB1SFShjboa41CjubKC/ZpnjQ5brNp8QsXFjaKl8jD9oDMckxOeu74A5WcnCD/lml35cQieadX6ZZJCyklo1ONoqTws1q7mExWqtFdbCwhQvqM4yLBXIVWhX3hDHgdRs4WY3B3NVkizsTllN2bMGELImTNnPB7PCy+8QAiprq624L7NJyrM2+au7J6RiSuKJf8kqXDNJyrIIImTJXWrpfJw1fplCT6976JVZYw6tHmUGReniP2u2oiBCjlzxLmSf5XM+zktaakzOUlbQH+GU04hKYInRRWSEBUKKRm+qFVI5f4ruIVRCqnK4XE+QHIXH/Fj0tAlE3qzdkm3YKdD+vDDD228O8es/NLXpqZq/rpEAKte+03FpdlkOVoqD1NjZJI7kTTHCrZe0hwbogMKLrn5RAV7fEAIyS0qk3PVjDSfqNA2/jAJyRawa1im4B11NjsJFh+IMU8hLSBMU3aEp7ua7ZqBST8xdg2xm09UsG+aoDZ3ZBTNJyqsryMy1RzbZS/KqxtMakmjXDJVSP2X0o9yl0zwRTtBTrek5uQIX4dEUVXuMvalb/j/1WaOze7/kr+IMY2jzbsYkCOqlBh/OLNrCTI5BgrJXtjmqJGKNbDbesliB7Wo9aZq1cCQpEVIqkEYOSS+pdb2LK2vhZVINJ+ooNov2UX15wckaak8rLbF9OeI1KI0V8zc/20Z8MnBPWt2qPzmJWkVFFKSmSPO1RMhyWGNQuqd0jM5bUsJsQL9cHFIjK8GkSuOlDxuVITilvSuWvRv12TBIEn/gNWukZxEbZhBiqTtOjLbSjl9DZn+PJsFCiAWMiSHRyR8HJIY+kSF1TgduhWxcKvkccMxNiTX2f9t6VpqURDSqMZU2/9NfxuQbnvkijGiONg3ViHDJ0Jy71ryEHdIXfupKU9RuTaF0BKAmnr9o2bJ/QjM1n4NYgtnUCpV55TUoqFr6V0UZdA4Q2F60hX2QiBkS+VhB87qiRVS/zWDrLhS8+z0e/fmExUGKmSf/e8ZcinzCHGHxIIzk7ChOiQXo6HTmtc4xtrctmXXmLFJjCsGshYgOZhwmtdM8EWF2LoLUwlTh2SI1jpK9SP7xRtS8qcQjrlix0aLJy245mK34HbZelNbxrDXU7EppIaup98rKIRBRkVI+oNj5eFUn/3v6ry+2YSpQ3IOGrpWS+Vhhf5vRjhmdv+P7CexrvDsvkRsFlzyIsqo6v+mziMqCK/K1usX0qifGdkvfv7seYZcynqUdck8hVSF8pNyxRhXDBwSE0alcU1ND0ruUGIvZpT8WoMThAwadzsh29xcqbSDQ87ERJcmrBxu0Nu3DnFD0kIVYeSQJDsGi9rxU2GMUwKqZg5URVJaduUS/UYNyT0N4Rijd1RYVqUW8wYxavu/tgyqxH3VPG6qSPpTc2aH9pIKqfam2p41S4Sk7cpmRzD6r++KyCCMHJJ+xDqhEBsaNaFtUqTWfajEm3ldhNr+ad4MiqQOaNu61/qA1wljrKBoqbTUESGpRSFoWP3+V2bcUQPdh14Z89GLdksRHDgkh2Lj7v0JvaP0h2OGaL/0hDZXRyAypm/sOua0pCULjqqOkUP/3o/KSLpwtcUCZo/tNCCnkIIIycDlX64u0A1fh+QKK6AqZB4YOGmeJJLI9X/nD7+q1i+TE9JYo8aeJ1Fl6A3UXlXBh10KqVJIiZPNi5A42Iebks/a+b3GAsLXIbEj1/kVtNP65e7KOSJTE1ZGXdy8hBW7rbcrulSV4pPcizYoORMTLXhzNoe6X2RydKhg69m9iG3vtugX74QSG2sIU4fE9yUs1kohahZ/XTnSYdct8/a4U+hapk9oO7v/U5Sq6js/bqfliN7YdYwwl+qoDckNVEiLp/S04cYaNqcppFrC1CFpRk+pXuyYDEMlccF0tH7YV+Ob9wpgbVifQaWIJy1ix2RIJqwkN9aycQZCsh9JWlgb9yN2mkK6dE9bOcLdIel/c7ZOuDoCK29KYU9kqe3/nKVjnEGxpuvyE1acBTGk5U3q/xqEHNhSaYYkLDjh5SxySLpep71qxOxb2BUhqSLcHZIAQ+YV1ZpjVUT2i7ftfQf6bLfhY0Q5TCr5dcXiaKNgf9ZOyxFtO1ij8FdBl5RTSOsjJA7Glg/Vd9bAIanA1JyyKxLWYlsv1//ZwzELckQX735VfFDVTvDG9n/2EZUqc2+sGWVXSLPXI6tFMviwUSHFvebi3a9KCqmu0lKNTqp974FdhLhDMjvSkeswYu1XqiOwb/LDkDXqzln6I5mwUhiWmbc9jIE5IrPeee+wVw1pwwkb/KgdI8oppAafEXrVdyHukJyGUf1HVf+nOSKdJb92TiN37nU25ogU97RlSsT1yVhonDiq0TOlZ6ACKLSVTgtrYGynIInOKT2zA1CatHBFZliMaxxSXl5eRkbG1KlT9+zZwx0MBAKPPvrobbfddtttt/n9fhvFMxzN/V/g8/pkLPzdoX+JBzGGDOG1bpAj0Z8lO7khvsfs/n/Af0DnFSxIWlo/oR1UwQQRkrHv0mS6ghuWxrs9aaEWdzik4uLi0tLS/Pz8nJycnJwc7nhRUZHX6123bt3MmTOfe+45Q+4l1gA5e+Go6dyu/QbZWGHFgrv6v6pEmcX9n1M8/QNuC1Je/FtUrV8mFyEpYPb0qiFTemYnLdkbYWCLC6rp5HCHQyopKUlPT/d4PKmpqU1NTXV1dfR4//79Z86cSQiJjY3t3r07+wUj+8VzERY/Nnfg1J+eJAbt/6rvqL7/M+YHjMyoqO//ZtSg2zX/p24XcEsSWWIkIyRJhXTRBhnW4wqFNAp3OKTa2tpevXrRzz6fj3NIw4cPT0hIyMvLe+ihh6ZPny7+4vIXlicnJycnJxN9waDCY9aZ9VbeNMGkSUsD+7954ZjmxU9iHLICg/+sxVN6huxpq5+gu3iIhXTUew2oQjphBiVodGtZuyUnJ//73/+25l46cYdD8nq9jY2N9HNDQ4PX66Wf6+rqAoHAww8/XFhYmJ2dHQgEBF+cd988v9+vdnopt6hs5ohzJf/khKoeU/WYul7BIMlRyUlV2L740copPRuxK2mpH4t7NE1aqI2QdCYt/X7/5MmT9VzBMtzhkFJSUkpKSgghVVVVNTU1ffv2DQQC1dXVzz777Ntvv00I6d69e3Nzc2trq9ory6kj+8S7wnEBhoym6UUcPmmp8EuNeRFfpYp3+mnIERkyaaF/Sk95jGjAi/jiDHihn9k5IskISdtFGFGe7HR+0kIOh88xU9zhkNLT048fP56VlTVjxoxFixZ5PJ5Dhw5NmDDhrrvuWrNmzezZs6dNmzZv3rzIyEjxd12x8bapa01oOOaovAqf5hMVdHwg2dWdkMWiyCWsnANvixD7E1aS2GLrLUBVhGQI7k1aKNPVbgGYiIyMXLVqFf9IUlLSrl27CCF0hCRHn4yFtidtHIv1/b9PxsL7iublTFyeW1Tm8EGeALf0f/GUXnthy/tTbZFHEvYIqbmywuwR2H2nNhMiHEN37TeI1KrIfDRXVuRMTFz8oXVv9yAqI6TIuHhC/mOyRAbgjhGSS+FHTIbWEVQSc8IxA3NE5glpVNLSkISV8sWNuo4ZA2gLkpZmI352SoUtUgpJ07lWvinKFYsfbAQOSQJB7CanQwpGxxXpWlVIhmNOm4oXjw9c0f9dkchSGCOaF3wYgltyJJFx8Qm9o9z75ghDgEOShSVoUluafN+pzeKDkmbdLTkiMdoWPxkI+wyKLbZe/5Se2VkshSk9dkwvdlCTsLJr8ZP+RRGhuqu3HHBIQqiaas4IKZjjPhkLzzdigyxJ1PZ/UxNWkmjo/+YlrORQm7S0cYzIqKLthS0ya1TvO7XZ4lebS9J8wvS5IrVIap02Ic2rMXGUQhpCmDokOcVyWq9QBXs45sBElrj/u2WM6PCEFR/nC6lquYXFcArpigk2PrYnLdgJfYckOwOkRr0U4g612ml2QKo/HBP3fwP9tKNq0OcxZ1BVYUH/N8pbi4fsBuaIzNvFw3CFNAO7olsXRUhiQt8hORyF/i+p0G4fkpuHqhqT5hMVnM/Q8+JOVRhe2OaEoQPDBjlmJaxUJS2VsT1CokIqREhOeNYWEO4OSdVjTvBFBe1dhr/3zDn5AekXcYrCMQfmAykmvdrcECSn9JyWtIyMi2dUSBsL21xR4KpQg05k9jkUHHH15IIC4e6Q+AgyLexBE7vPGGROEkNbjsikhJVaNOSIzLbUhvR/698CoEFIkxSS2L2rN3vCSjxrZeCuvhpwSIRkF3BIFmHjBlnsbwEwWx4iM2utypJy/d/iJAa7kPxn7YpdfGxPWBFC+mQsfMazRXAwsl+803LU0gps01hWZaWlI/a8VyaMHBK7aRCEV3IRk9O6ijLimDGhd7SgwsLeHJHMLn9MXseaHFHOxETnZFAlMS9hZWQdgaKQlk3pKaDxVcg8Ia0obAnFrF0YOSTnwBKQKmibc6YWFOsIrA7HNOSIzEtYqUIhRyQZ9ASvI9BdYaXKAWhTSDOm9Azc1ZuYs0rP8KSlwyMktcAhnUVZQSX3A5XriqrMsf5wzII6Av1LAh1b7MDHAmf/65ifxAf7ZCycVysxpedSHPisXZGw+nXsz4Ijzok+rSFMHZJCjGlgX9I/f+C0GU4rwzFNdQTqElZ0FY4TZlA4JCqsfExvkjUwR6TQ8goKqSerpqWwxfJNEyxLkTl5WymzCVOHZBdKWwdZuIsP7f/s5tuC2TJJc6btvpa+liYunj2G7VRHYFUNekdhi+rxgZN3+Txb2GJahKRz1kphxyagQLg7JEaFVog79O5BZ/6QXNmyWDw+kCv5k6xBZ8fAca3bY0yd2KiQOs23BYUtXfsN0hA0WLxpgquzfOHrkDi7w+hRHJLYseCdF+yFbYavNREnrHImJppRYWX4JspmCKlU2GJQwkphyM6I4Qop7mjsYzUNCqkhQrJYIbXt2OLSnR1C3yFZthbP8NvpT1hZUezgmAorBfQnrCxIWkoWOyjDH987sI5AjGOF5Cskp9LmbTvp5HSovYS+Q9IADSQljabO0bdknbH+hJWBWJ+w0uDS1AppUv930SbKYmhIrkohrZ/S06CNatUpobfeWShrdvFg0WEzkhYWA4cUHDkVV7foQWuOSP/Qm137NXsjdiEt7v/aNk3Q6cAUNsgIijhh5ZBKS3dtkOEKIS1TSBcBh8REn4yFMR+9KPdXQ7RfkB+worBNXstZOoCx6RcN5tviJYHmPREDZ6GNzaAGTVhpqyOQi5B0KmRIYtkGGQ4BDuksNu78yOjS6JDcaa+tZMSBL2MWJ6wi4+KNXaOqM8cr+aw1KIB5Bl1SIV2RI1JWSLH5Dl5HYFqEJKmQYnkcO0XHThg5pE7zlgbFHTaWCPO139j+b0iOSH/CyplbBerfIEN/0pLhFvqFNH1Ewo+QlAd2DlFIC5Cb0rNSBnsJI4dkJezaT12aKqtRXq13rEP7v5wbk8zDHO7aV8ONDF+BoVxHcKRrPw3X1JywUgsNyVU+6wZibcJKs0JavIuHNoU0HOU6AgMVkjhj21mzCXeHJH6cjJklThEVjIUb3yK8vOfN4oPG7lnJDnt/tjFHdMQ0y+jMMSIfY3NEkg9xec+bda54DbpBBjvaHIxOqB8SDxPlRm/mKaQFhLtDIszh58AAU62ani4aND+gfHELxgf6wzEL0twsQirkiOQGRsZmbzRP6SlbZzkhtU3gGZ6w0iCGsgwWr0eWQzlpoVMhpc8P0f1EXOOQ8vLyMjIypk6dumfPHu5gIBDIzc3NzMycNm3af/7zH1UXVAg/LR7ZyFlA/eGYhndfqrVB+sOxoF1LHDHoT1oqI/aaDELqXaPKnkHtk7FQnLByYB2B/giJ66TmrVHV8LD4CmlNHYEmIV22aJriDodUXFxcWlqan5+fk5OTk5PDHd+yZcuZM2fWrl378MMP5+bmMl6NcT0jF8PyjREX7Dj2GVucU9YWRGseH2hrdgcW+DGyvJdEBlUzkvsRiJEz/Z//FGOgMJpRHiN+/lMPyyTRgHtV0Rrc4ZBKSkrS09M9Hk9qampTU1NdXR33p2nTphFChgwZUlNTI/lddhNmqo+h/Z/9FpFx8dTWW78CQyAky/Jvi5cEsYfeenJEOhNW7EJqSL/8jxY7WJhB1TyPaEaEZPh+BBYvimBXS37SwiHbaZqKOxxSbW1tr1696Gefz8c5pBtuuOHSSy+tr6//85//nJWVJf5icnLykSNHkpOTzZMtZ2Ki7av2HDtcY0d6QruX3gltPiyZWIVErjUT2kGn9ILNI5o+oW17hMQCS4SkPEZUVYNqcbGD2nlEagNtqchQizscktfrbWxspJ8bGhq8Xi/3p88+++yuu+5KT0+/4447xF/0+/0DBw70+/38gwL9Ni89zYjZgY84HGOJdg0fH6jNEUXGxZs9mcdo6ZTHiNbPuquCJRjnjw8sKO3TppC2ExkXv6j1esaTWVRLj3r3yVgo7mJyTlRsAx2LOxxSSkpKSUkJIaSqqqqmpqZv376BQKC6uvrLL7/Mz89ftWrV+PHjbRFM43aTov6vquDV4kiHdq3/WVLoobnkjwrp8IJXbfv6mDQ+UEB9YYslY8cOqbQppLFLgiRxRQ2qw3GHQ0pPTz9+/HhWVtaMGTMWLVrk8XgOHTo0YcKE9evXV1RUzJkz5/bbb//jH/+ofBFJdRHnH3RuLEajP51d1IxtpHWONtjXIbpi2lb7NrK6E1aS7WPXGFEOQYREFVIcIbGMEeVwrEIGjTLZcyrsEZL2KTq75wuMpavdAjARGRm5atUq/pGkpKRdu3ZZc3eqoMqbL+QWlYlXrhmVruEuzu//rgjHWIRUrjW3QMigE9pUBrlac4vHB3IEXaM2xFB5tKEc7TlEIYnd5QOMFRZmL36wBXeMkMyAH5II9E+trWfZa4tp2kbfa+vE4Zjhq+0sC8f0vNlFf8mfzgoLC8aI+jfO0aOQjIumVWVQ5caIyt+ybEkQp5CCuzDNI5qjkIS5wsIVSQtK+DokMSyPjdMtU9chckpvXh/j+r8gHGNPpFi5JEjQ4UOg/lWw/NPhv6h9jGjHhvGmF7ZYa6wNfNWIsWvUHEJYOyTJPBuH7TvRsfd/fqeyeHxg6mob/dD+r01IK8cHROPyL3UDVsvSvGoVkj9tI1Z7VcGfNQppxho1bWNEPja+otAowtEh2bjJikPGzrbv2hnU2QeZEeliQDWd7J51Jo8RDYG9xizItI0zFFIS5QSpxWvUlMeIhiikHJxsOreld3gNKiX0HZJClzMwT8JyKc0RkODiarVfMhwTCywIyTntF/hva8YHHUJqGSPKwRdSm0vW6YHYnrWutJj+CgtVCqmtQRgVkujYkcH2kh9XKKQDCX2HJIfyW8kZkVv+qcocuyIkp0IylW8YlyVXxqQKbGPRnEHlnrWk/X3BiPGB/jEihT1C0pUl6ywVp5BBxwdqu6RdSwKCxogcDtxI1yjCyCExmobIuHjBmZIK2jGEZ+26yhGQSZ5GcltYzTJYICRjBTYxYgcXzf3fsj3uiNFjRD6dpm1EHsgJobcTZGBXSENwcgbVGsLIIelkoNTbhZUROLazmyR29H89C2BtHx+oKkqkaAjJ5cYHQW9NMbCSQk5I8fjAjHfbWFNhoa/a3uYKC7UK2bXfIAMVkjFCMkMhg6b0LUta6CesHRL3zj36aJ3z2DilN6m+SIGgIaHm8QENyZ3TyBxcx7ag2p5Dszk2UMigj1LzhJbGTZKkPIotteZqMbakTayQ4UM4OiTGx0yVTBAzCjRP//uV+TAuCSq8YJrgpqa+btLUgjfWLFnnpqBPwbwKbEY6Fzcz7UmRW1QmeaZ5aww6pW2DZa2Vn3V5dYNkhCRWSIpJFdgCIXWW/Aj6jjaF5DBDIctr6jVU27uUcHRINiLQfjMiILXBmuHzBwrGhbMdhqdrDBx4cWGBNbH52S0A1FgTo0JyQ3ZuNBZbFNIQ+CU/tr+S3KV73IW+Q9LQ5cTbSBOZB3zWeHX0Ig2KFTxLxg3hef2fpb6IhuRJyUkK1zQEzdofNCTXdllJ+OMDbSG55PjgP5fNNmNTdsZsrc7xgcw1WRWSD8uA1TKFVAvjm6AVhLRy00VlhSTOeGmTNkLfIbGjzkhVqkvlGxsB6dF+5lqyTlZJbUiuVvsZY21jd242aUJLVUguTEBpHR/YmLbVuTmItkoKZYW0rORHg0Jybtuk9yz/57LZgiOueN0UBQ7JFHSaYzP6v+FbClELKDc+UIXm5BjL+CC3qGzMYB//CLWAmkNynQVvqqyDhH9iqiWzueDNjCxZ0C2FlBVSVcGb+F6MYQHjgFVOIQVRRQivN5IjHB2Scpc2b1sdzrgYNQHAab+2kNzigjdVxc3KtWQmhZaaQ3InV0PRkFxgAYNi5ZJhZYW0N5XHOGAVK6QFgxJOIc/OF/Aa0PYXYWsjjByS2KBwrziSjNAFSsbYRfn+jLujNSuujZk/CBaSBy14k2wBDpM6audask43DZol0xwf6MmSidaoBQnJGbcc/enaeyXHB4IwS26MqFMhzZjQEsOikIRX8GaLQipgnkLKXdBFhJFDCgqnuHyLJuiiOnPTytov7lo6a8lYOpsZ2p9bVHbH5f35R3RaQPYdoFnMcZB7VTcIM6iKsYi4AbUNslU9XJ0hOWsCykKF1JwlE9N8okKwx5XhCqkKvVsK2aSQtgCHpBHaFRnzCdbWkjG+E1O2/zOOBfWElow5N4l4VtEC/nTtvcLzLYx/+ZFvblGZYHxgxmvpCduElkK1PWP76Kkl0T+hJXl3Y7NkahWS6z6cQkp6sj4ZC4VLBuPiCbOH0DnQESjkndeP0HM1awh9h6RBTdlf0krOvjLyrH3Xn7oVJiVEBW8C7af6LdZ+/l91ErTH8rW/vKZB0OxBu5YhE1qqbF95Tb2ykEHnD5RVS1KLgobkQQesQRvKgB0cgkVIQRWSg6+QnEu2PmAPmiUTI1wyaGh5pyQaqu1VKaQrCH2HJEa5Swe1Miz+RjIYURiU6DfH4pcN6py4snLDTbW1ZOLpXH7/Zy94U4XW4kamBS6yX+8dpW7BrMgls2TJxPUFjChcPLeo7PlXl0vcVHeWjOssQRIPnZ2QzuJGZcQKyYdTSOVtX9QKqUohHf5KYo5wdEjKCFSKU3pB2aic6kTGxQd99pqLxAQ3Vd6/pH0/cvnSPsmfoDZLFlRIZYJO56qNTPkXNKmWhGVCq7ymQeeAVWdIrsccE5mHrrO4MeizVlZIRiehyiWLUVtfoOyScyYmsvh4zS6ZwjjD2idj4bS4JlU3sp4wckhiTeU28G7fXNW03Tu0WUANEZB4OpcdRgvIaT+1gAk+pXSNqOCtXme6Jmj/5x/hXLLyk5WYjejc4S1wyUGFDFpfIInFL9ThC8lXSG1JbDOyZGKFVCeTvoJ4QYwoh0AhE3pH6cyguCiVF0YOiRHu1chywRE/9hScw/V/uehYGe5qZ5MSJtQXCEdOWusLJOG3AP+44S5ZbI4Fk1gabkdbmz2zx7nk9psy1Rd0ZMk015prcsntN9VaX+BkhVQeH8h1Se4cVRGS5iyZtgGrNpesrJAOJxwdkqQ2GFIEFTRoFWi/NgsYFGPTNRosoAYEdxEmJYJ1LT0WUA7Bc1Hrkknn1jBplMyermHJH+p0ySyIa0mCol8hNZhmtQqpp75Am5AaFDLO26rqFtYTRg5JnDrgdyROn4RzSDJBCteTFZSJu2NQhVOXrvFFsc+UqE1KaJ4n6JSuqQ6Srjm7l6XRLpk9f8hyNQr3dMTKYKBLpnDtz1lAxnQNy+Qlh2YzrXxBilghqWAWJK473VTKZ5ikkNpWGmkfsKpXSLeMlkLfIWmYtJC0KZKvMJHsLZw5VntfDqpwjL2C9fVOwbRfYPiC1hdosIBBCTqd03Fap3RNUJdsxgIgPhL5Q9FsCoew1tycemJVBihofYFAIZUvblQ1phMUUi1iheS7Yb5Cshe8mLRRljMJfYckRvzUJU0/34LzdwNT1dUle4gwF6RG4fgREH/0Q6ViSddw3ZjRtOksQ+iUSQ82dc9hhksOftN+8YSQBF8044DVQAuodkpJEF6wjJL11BcooFkhzxbEG6GQ2nb4ZS944RSSZcBquEtWq5DYOsh08vLyMjIypk6dumfPHsGftm/f/swzz7BcRGA+WF6Z3L4jg8juSKpI0KQcHihhAAAdGElEQVSEcmI6eLmXJRZQuvq280yp8kyJqa+2Eycl+IKJP1P45ljw3IM6A80WUKIcvKP1guYPBS5ZeXxg7NQdp4fcB042KxWSk01ZITkYFVJZYA31bM5RyKCZAMwhGUNxcXFpaWl+fn5OTk5OTg53vLa29tFHH12wYEFTk976elN3ejdkpoS97ELbdI7hgxKW6RzOAgp+suC/fCHbY0CGTJdmC9h+gqD61ieMjkUzJfWEwSULvmW4BeT/arlaREM289apkITthd9BFVJbhjzIymtRaOhMhVS+OKNCOgp3OKSSkpL09HSPx5OamtrU1FRXV0ePd+/effr06QsWLJD7YnJy8ivrCpKTk/kHg2aN6COkFly5JI9bSE+VqX3+kKcHygRLFzBFx2oVjtEC8pMV1AKKv9h5pqQ9LyR5NU5gPdM5LBZQz3QOxfA8YbvF1GoBxdM5giwooxgSN1W5U4BAITt5PvUKyflUDcu8mAYlIoVkyR9ysOQPtS3zUlvcpJTMYGu65OTkI4ePCMygM3GHQ6qtre3Vqxf97PP5OIcUGRk5dOjQ8847T+6Lfr9/3n3z/H6/8vUTfNFyVXYcfAVVa4w4JLU/oXcUi/az3FTORrQLw19BJZopUZDBqH1HNFhA/glyzsYkl8wXMsigRGX2jGXAKokeC8hujhkVUi1BXbKyQvJ9NlVI/RtumaSQHUIqhWgd52j5IYwumRPS7/cPHDQwqBl0Au5wSF6vt7GxkX5uaGjwer3arlNe3cDv0kHf68oZYrGeqUKQmueQ6/ZnByUMk5kG7j8mRn8MyFJ9qzBTogdx2M4nwRctMMfc4+A/FzpXpLAaWhWaZ0qo8vCftcSAtdNMiZKWyllADQqpvCKHyRzboZD8FjBcIYPmCSQFZlfIPhkLlRXSgvcrmoQ7HFJKSkpJSQkhpKqqqqampm/fvoFAoLq6muW7whozleZbOVQU2ovK4CX/CgJQxRIrHB9tq+dURMe+KOWxIF/722PASqVhGSWoBRQnpvgxYKfoWMqgCC4bxByrXLTIWUD+F1ksYDD/oWRTDHm/kcQoubrTKJkwDNfkFFKuZEMZhyikHIYopBhjFVLyiywKeU5kG/uNbMEdDik9Pf348eNZWVkzZsxYtGiRx+M5dOjQhAkTDLwFp7iSu4QJ9In/7OUUUU5viNQSXeU8ANV+5ZuKx3DKPUSDBVQWUozcD+kQUtZ4sVtAFjoZLJbhmvzUnRhxoTOLBeT/EM4C8s0xDaGoBRSHRJ2ciqboWOezZlkuxq6Q7WtLrVXI9hIeRyqk8Hy29bP8CWz+xd01WupqtwBMREZGrlq1in8kKSlp165d9PPVV1999dVXK3xdUllzi8pmJycp35e/TEGs/dRelL3N8AMIIfJdLsEXRWqDf12scO3HmRWOKqgw3uxJcovK5tVu7pOxkP6iYweE0rJEvsrnBA3lOszxzaTz8woyQqWz67yBKb81NFtAlrUpyqMfPu3mWGQBFWg+UdF/3nPl+aWC452CEoawuj1XLKpBkBLybPbMYoUUXrMnIR0+gK+QlPb5Qt0KyUfxZU7XE8sVkkZINEEqmUgMiiFvF7MFd4yQDIRTPkHChHuEfJNx8e5XxQlrTtElFifJpPX5StwxA9/A73LaXlWgHB0zWkCahegwLsKcvmSmW3CE/6v5FpDCbwEll8wA3wIymWNeCwQ1x/zHwf8TuwVUi4Y3Timn5pSn7vjwHwf3iJ2jkLlFZWKFVDbH/BYwRCHby2gVNdM8hSSEHFv+AJVBMHUnVkjlJhW3gJMJL4dUXlOvag5pYODs+ynkuihfVzQs5elc+XbWQLAPOFgUTiF/SKQ8q0hI6ShYj5nmCkw4H8AJqX9NmIbomP84WMyxuAXoI+g0KKkURtZBXbJcOldsUuXoZI4lElOy3zVbIeWmgjQHJR1CGrOzTlCF1KntjGdyAWv7FxXfdauskGKwMNYRqFoSpPCOTk4VxCewxYZMPkNu2pbdB/BTc3IvyODbGgHaVma0m2N+DBgsdSO2gHxzzH9Jldi+t9/UF006W0C+OZaYfemUPQtiAekJci6ZjzgoUYZ7xDQK1jMs47cAO6qK5diHZXIoTHoJquY4c8zXTD3DNQMVkqKskO3nGK2Q4i7JopD8FnALYeGQJCmvbuD0Q1DJwzGwpbL9BF4vUthismPr304hm2ShatB357DkAdqNEa/LBZ3M4M9+8f8kZwFZqub4QirUDZ+9ZrDsWZATREIGaaXOFlDSB5RXNwh8c9CRdJCaEXEVlryQnAXkzDH/7nxzLB5ydbqpSEv5QQn3XUFQooCcQsoNxw1UyPYTqoXDNSYfYKhCkmBBiTh75nCFdDJh55BU1Zxwr5QVIH72cn27vLrduMzKL1XOA5w1Rlorp4Xn87tc52sK8gCckGfP71x7JpGYUjZMvNiwvLqBy4YLWknQ5QT/pf2ffbjG73JBa8+4FhCMA/i/tH0yQzzSlYpOOAH4gnGPTNIHBF3Q1jkxpVRjomqIJvABtiikABaFFJzAfnEiqtBRpZAC2fjxgfLoR6yQ7F2SGKGQYsFONDnd4DtdPmORW9/KTRvmFpW9NjVVyt90KrymJ4sLFjqNlINlUVhms/jmmH9xueiYO4exywn7ucrVEp26XLAQTBgDdkTHQYdlnJAsFpATsmr9sv7znlMWSQzXAsJUfoeQZ42RmihY6AMqO/kAoQzVQh/AxQcS80P8kZC43kQ0taNQksMyMDVKIeVaQEEhlVug/aYihRS3AAcXI3L3YlRI0rlbKfsAvkKyF0rwpaIf5BRSfCOekEohmjMJC4ckV6HL15VFrdcTUS+VTtmJdgIlhORMTMybOZV9DTmnZ0HzAMGH6vKWkf1tXYIux2k/v7n4sSG/BbjPyj7g7KBEcZB61mKKYkNxZlwhNuTard16dphjuQlFlnEA36DwfYCkARILGTQKZnzWygPT9s++aMagpEM2WYUU2HFOSBYvKEC/QvIPsigkS5cUDVY6tYBYIc/GB4oFTXJBSfv5BikkFx+wKOTx5gjJazqHsHBIfLjHwy+cExgCuR4lmTeQCkw6WUyh0enQM8lxQHl1g3gcQLWfr3DcxSW7XIIvWtCBBdGxgLPGSCbs4rpW84kKhdhQ6AM6vlv/3ReS922fFe+4u9xIiOuxclN0CrGhIAomYh/QWQYB3EI0fguIT+MEYPQBwvdhy/gAcfaMb2g65Y7kZ004H8Cdo1ohRc2rMNUf7M1MTArJEVQhieJgRU4hGTe20KyQ4rCMO6e8poHFJSvkKpQVUnKCijAXMdpOeDkk8a6R9HG2VB6mCiFQC7nN7vhdlLMLdDglOz3LMCPKvzinWIKeTI+LXSk/SiLysbbQB1RKdzlONnGXy5mYOH/2PH6XExgssQ8Q/NKgxkhyHCAZHdO3uYsHLkTsAzhjJOOBBFIJxgEcLZWHxcM1CvdZoAP8rXs7/SJRaq7jl9azFLOQjviAMzoCJEcVQVM3cs9FrJD8FlBWSLkWIDIBQXlNPaNC0ssKfIDFCsnYJRkVUtAlBQrJL8XiCDpckzNKDiS8HBIfvnpxOiSYFuJeW86PL9a2vsG9e4L/dVoBIez/vmjhi5Y79Kz70CslBZMMu2I+elEQdlFjRLU8eJcLtkCKZRxAOjoVtzyLNku7bxCNhM4aIzYf0C5zTb3krDjXApJCyo0DgsL4Uk7B44ha+wjfB3DGSOADBD9E8DiI2Oh0fneq4JeKh2uEkJyJiW/sOtYhpIpxAPc4tClkyge5Ai9oiEKeNcds4wAaH6x+/6v2451HS5JDc3aF5E5TVsizwvPyB0EHpnKoVUja4IwKiaIGR3B2nzreFveCOgXJEQwdIZ0tkBO82LGzTggQvGRTbIyERqdD+yW7osAHUHImJh7w87ZV4Ws/W5fj/ivZ5S7e/arAB/Dhh138rhi8y3X8QEGXk2teQQtwUGNUuuNT0jkOoN5RcpVMgi9a2gtyoXfnX3rx7leDFTp3SmbK5X4lH4e4BZTfIHxdSZ7AB7THBy2VhKelglU73C/l/Ir4ra+dTmBTSHELSP41qEJSLyinkOIWkJykFCQnBJWZghYQI6eQAjQrJJEfmmtQSOUuqayQzicsHBLHE1WvSCY3OFMomBY60qUv/zSqOvXffUET6AKdoL1i28Ga9pPjlCId7rtn34PXL54QcveB5yUlFOcD+V6Q02ZusCIwOlz3jh46qtMv6izk2S5XKd3lqH7/qqGUdO5yVBhh6N1xcYHREUrV0RRcCyh3udempoqPc/TJWMjvhJwwCrs48/8rbgHxOIB0tAB/HECNkdgLSj4O7l6SRud3h/7F6AUp4sUJ7cZI5nG014hWS6fyVCmkuAWoVrArpOSL24nouSivVRcnJ+hxUxWS65JBFVJ5Va9ahRRcR9AllRUSIyRHIG0OeDtOil9NXbV+2bHlD/x07b1EanAjCH8ULsLNWnHaTP8779RmgZaLFFHC6Ii7HO0V/LCLGiOB0RFevHPXym/9pyAJSX+LXJfjig/5iF8pK2gBjrOhemcvKFtLUintBTu1QHUn75jgixKG3jLjAK4FhI+D1wJE5Zww9zg470jjALlQXdACEl6wUtoLKrRA0MchaAFtCilGm0KOGezj/1ebQqptAQ5tCqncJbnAlBBS/90XxiokfyTEAvc4/nVC45vkLCM8HFLHsx8k04uih46iisJ1jPrvvqBqRESj7ObKivLqBnGvKIlKJZ17Bb2CpJb/OvZnSUnERoci7nIUcd6fdkVBl6NdcW3rG+1a3iEMPe18mQ3WJLocL1Dld7l2lywKvbk2JCJLx41WBV0xI7qMdDY6At8gFJVmPDo/I7kWeMbzvoYW6OQDKqWNDm0BcejdUnl4gbdjhoPXAlXrlz1R9Ypk6P3rmJ/az/d1MkbKiLNhAi9IOj8mrgXoafoVkt8CfJgUsnO4xnG2BRgUUuAFJVvAMoUUYKxC8kdCfIWUexx6duGzmLBwSBxcModTL/o4I+PiqSviJ8qbKytyJibOyi/lHifV79gxGUSqV3xe14OItPkPB/6+vOfN/ONUEc85+g3pHOlQRRRrOVVEsdmlNz3ctS8RKWLV+mWP9P0D6Rx48id4BV2RCjMrvzRo4EnFOHFuGpHicNe+4oN/OPD3V5Lu5wvTJ2PhseUPcMGBoAU60iy8m/IC1U4+oLKCSMUB9CnT+T/+46j/7gvxwrL+857jP46gY0Haw1W1QNzRr2kLcEaHjpzEQS5VMLEX7DBG0kHJN/ETJFuAtiG/BVoqDz9xUmh2+QpJRI+DXSH5LaBWIQUXZ/eCygopuWuwpEIqtICcQtJbq1VIQQuIFZLfJVkUkt8Cco/DRYSZQ+LmijrUq/vQK/lVs3wb0e54qhv4irv/1gH95z1XXlPPV0R6kf9cNpt0noZtPlFR/90X2w6eEly5/rsvOC3nG52q9cuo1vIvTllfn0g6a3n3oVdWrV+W6ckiIi/YfKKCnik4Tme/+F6wT8bCwzm3ihP01DK2dy2eltPeQoUUWMZjyx94pI/Q6NAWkHyz2ZnvdpLORof6BvqZf3FqF/7d4zeCi1DfQLucePkFXeksFqZ9/k/mcUi2gPhxfP5TjGQL0MchuCkhpF0HOvsGapH5cQC1jOKJKH4LiB+HmObKCu5xiBVylug1S1wLiL0gu0JGxsVzLaBWIfktcGz5A3IKKdcC+hVSsgXkFFKuBVgUUlDcK1ZIfpdkUUjaAuwK6XDCwiHxB8uCBX3RQ0fVbVtPCBkzuBdfFxNXFNOhdHlN/ZjBvbjz2/dw9EXznz13EdJZ4SLj4sVaTghpPlHR3rV4F+mTsbD+uy+owvEZlLtx/60DPvjVw+LfxcWYfIWLjIvnjvPNLh3zldc0CJbmccLwtZz2CnE/jx466tjyB7L7zpG8KbUU4hYor24QDL+aT1R0H3ql+LXZ9d99ITY6/ec9x7WAuMu193Oe2eULI6C5smLbwVNyj4O9BV5Omi/+pWebvfNxqhuCaJc+DvYWKLtnpLgFqDBTRUan+9ArJR8H6Ug4i0fDsWMycovKBAp5bPkDqhSSK7RRq5CSLSB+HPSzHoWUawFVCqnQAseWP7C8180KwgiwXiEdTlg4JC6QjB2TQbWfe9J9MhYO2XiUEJIzMfH1r34Uf7fsT1fydSVxRTEh5NO5aW3LruEO0otQl8bX8kG5G4dsPCoYThFCmisrHn49f+xL34h1tCHzCSIyu1xWeuaIc/kXp4MMAYNyN0YPHVVeUy/Q8sQVxUM2Hi2vbhALM//B+wXGiBDSfKJi33U5pLM2U69JrT//+KDcjZL9nGsBgZDNlRWDcjduO3hKKMyJiupLbmRvgbpt66kYAmFoOCkQhrYAEcX79HHwc7OUM9/tpI9DrgX4RodrAdLZ7HItIDC7kXHxQzYelWwBycfBwb8pFUaQbaY3pTov2QLlNfXiX9p/3nPbDp4SPKn6774wRCETVxQbqJDiFpBUyMi4eLFCci0gENJAhZRsAUMUsvlEhaRC1m1br6CQaisg7CUsHBKN9ehnhfk9vo/RQM7ERHFmg4iGU4QQqoViYQblbsyZmDj2pW/4Wk4ISVxRTEdpAsUasvFogi9aHO3SsZ2kMGJjNGTj0eiho7YdPCUY1yeuKH5tampuUZn4eELvKPFNh2w8qpAZEAhDW0AsTOKK4rw/TlNoAQEKLZDgi2ZvAdI5N8sdp5OI4hYQBx+kowUk14SKze6g3I1yLUAfh7gFPp2blltUJoh2aYQkFmZQ7ka5FiBqHochCil5U4oGhRS3gKRCDsrdGGIKSR+HWCElo+GO4z7xZkVOJiwcEiGkpfLwseUP0OkfYlrZSdmfJNa6C4ZTfBZPkFYUcX/OmZiY+PhOsWJ9OjdNcmA3ZrBP8jcm+KIFXevsn6TG9dsOnhIL89rUVMmupSCM3F7gcsJcLert1DKKhZG/aS+5pyx300/nSsyNl1c3SD4OVS0gd0eFP0lGtZKP49O5aZLCyLWAnA4k+KKtV0ii0AK6FXLM4F6SwiT4oq1XyITeUaYqpORN5YRxLBFtbW12y2AWycnJfr+ffi67ZyQhJHFFceLjO8v+dOXYl76RfNgAABCq8E2iMwmXERLpXJLkolk+AAAIE7raLYBF0FQ7IUQhxw0AAMBGwmiERHFdUhUAAMKEsHNIRHc1HQAAADMIR4dkGcnJyWEugBNksF0AJ8gAAZwgg+0COB/XzyHl5eXt3r3b4/FkZ2cPGzbMbnEAAABoxN0Oqbi4uLS0ND8/3+/3Z2dnFxQU2C0RAAAAjbh7HdILL7wQFxd32223EULS09PXrVsXGxvL/RUDZAAA4OPwdUjuHiHV1tYOGTKEfvb5fHV1dXyH5PCmBwAAwMfdRQ1er7exsZF+bmho8Hqd/j5EAAAAcrjbIaWkpJSUlBBCqqqqampq+vZ12duoAAAAcLh7Dqm5uXnu3LmNjY2VlZXz5s377W9/a7dEAAAANOJuhwQAACBkcHfKDgAAQMgAhwQAAMARuLvsWw5btm+Qu+mdd955+vRpQsjw4cMffPBBa4ShbN++/auvvlq0aJHtN7WlEQKBwNKlS/ft2xcREfHII49cfPHF9t7U+kYIBAKPPfbYwYMHCSFLliyxbGWewn3t6g6BQGDGjBmLFy+2eHmi5H1taQQbDRE7IeiQbNm+Qe6m9fX1gUBg7dq1FsjAp7a2Ni8v74MPPrj11lttv6ldjbBly5YzZ86sXbt27969ubm5GzdutPGmtjRCUVGR1+tdt27dli1bnnvuuRUrVth7X7s0gRDy4osv1tXVtba22n5fWxrBxpZXRQim7EpKStLT0z0eT2pqalNTU11dnY033b9//4ABAwoKCrZv325lZ+jevfv06dMXLFhg2R0VbmpXIxBCpk2bRggZMmRITY3EK66tvKktjdC/f/+ZM2cSQmJjY7t3727NTRXua5cmfP31101NTdbvdSl5X1sawcY+qIoQdEi1tbW9evWin+n2DTbe9OjRo1VVVV6v99NPP33ooYcskIQSGRk5dOjQ8847z7I7KtzUrka44YYbLr300vr6+j//+c9ZWVn23tSWRhg+fHhCQkJeXt5DDz00ffp0a26qcF9bGuH06dOrV6+eP3++NbcLel9bGsGuPqiatpAjLy+voKCAfp48efLx48cdctNrrrmmoaHBAmE4tm3b9vjjj1t5x6A3tbgRtm/fPn369I8++siyO7Lc1LJGqK2tbWlpaWtrq6qquvbaa+lnh9zXskbIzc196aWXPvnkk1mzZr3++utnzpyx4KaM97XeJth1U0ZCcIRky/YN4psGAoHq6urVq1dv3bqVEPLTTz+1trZGRkZaIIxzsLcRvvzyy/z8/FWrVo0fP96aO0re1MZGePbZZ99++21CSPfu3Zubmy3L1Yjva2MjjB07tk+fPidPnmxoaDh16lRLS4sFN5W8r42N4BZDFIJFDenp6YWFhVlZWZWVlYsWLfJ4rHC64pseOHAgMzPznXfeuf/++zdv3nzs2LHHHnvMGmGcw6FDh2xshPXr11dUVMyZM4cQ0q9fv2effdaWm9rYCHfddde99977/vvv19TUzJs3zzIzJL6vjd1h9OjR9MPevXsnTJgQExNjwU0l72tjI1x//fWuMEQhu1PDzz//HB0d3aVLFyfctK6uLiYmJiIiwkphnAYagdjUCHV1db/4xS8s7gsK94UmEPs0weEtH7IOCQAAgLtw6MANAABAuAGHBAAAwBHAIQEAAHAEcEgAAAAcARwSADZz+PBh/n9bW1uPHj1qlzAA2AgcEgCsXHvttWPHjh05cuSll146duzYsWPHvvfee/fcc4+ea/6///f/li9fzj/i8Xgee+yxU6dO6RMWAPeBsm8A1PHOO+8UFRW9+OKLhJDGxsaffvpJz24gf/zjH++8886LLrqIf/Ddd9/1+/0LFy7UKysAriIEd2oAwDL279+/YcOG3/72t0VFRUePHj1w4MC4cePi4uI2bNjQ2tr61FNPpaWlEUI2bNjwxhtvtLW1TZ48+c477+S+XlVVdfDgwbi4uKysrGPHjtGXaY0ZMyY9PX3ZsmV//OMfnbyGEQDDQcoOAO00NjZWVlbW19cXFRUtWbJky5YtH3zwQU1Nzfvvvz979mz6+plvv/128+bNGzZs2LRp0/bt27/88kvu6wcPHhw0aNDbb7+dnJz84YcfPv/88+vXryeEdOnSpVu3bj/88INtPwwAO8AICQADuOKKK+Li4gghAwYMuPHGG7t06ZKYmPj5558TQj799NMePXq88cYbhJAePXps3br1iiuuoN86ePDggAEDLrvssnnz5rW1tY0aNeq5556jfxo4cOCPP/6YlJRk0w8CwAYwQgLAAPi7VQr2MG1qaurVq1dcXFxcXNy11147ceJE7k90J+y0tLR33nnnoosu2rhx40033US3o46IiOjWrZtl8gPgBOCQADCXESNG/PTTTzfddNPNN99cUVHR2NjI/encc889evTo6tWrv/zyy5tvvvmll16qqamprq4mhBw5cmTw4MH2SQ2ADcAhAWAuY8aMGTRo0I033jht2rSKiopRo0ZxfxoxYkRFRcW4ceNeeumlmTNn3nLLLRMnToyLiwsEAg0NDda8ygsA54CybwCsoLm5ORAIREVFCY7ff//9v//97y+55JLq6uru3btHR0cTQgoLCysqKubOnWuHpADYBkZIAFhBZGSk2BsRQubPn79mzZqIiIg+ffpQb0QIKSwsnDVrlrUCAmA/GCEBYDNHjx4dMGAA99/W1tbKyspzzjnHRpEAsAU4JAAAAI4AKTsAAACOAA4JAACAI4BDAgAA4AjgkAAAADgCOCQAAACOAA4JAACAI4BDAgAA4AjgkAAAADgCOCQAAACOAA4JAACAI4BDAgAA4AjgkAAAADgCOCQAAACO4P8DHSobZOBO7HIAAAAASUVORK5CYII=" alt=""> <p>Note that the units struct is automatically expanded onto the number of units in the graph (if you pass in a scalar struct, if you pass in a vector of units they will be used directly). You can subsequently edit the parameters for individual regions by modifying them within the <tt>WilsonCowan</tt> object directly:</p><pre class="codeinput">wc.units
</pre><pre class="codeoutput">
ans =
2×1 struct array with fields:
cee
cie
cei
cii
E
I
</pre><h2 id="9">Two units, with delays</h2><p>By setting the velocity to a finite value, we can include delays</p><pre class="codeinput">wc = ra.model.WilsonCowan(u,ra.network.uniform(2));
wc.param.coupling = [0.1 0];
wc.param.velocity = 2;
wc.options.tspan = 5;
tic;wc.run();toc;
figure
plot(wc)
title(<span class="string">'WC simulation - 2 units, with delay'</span>)
</pre><pre class="codeoutput">Using Matlab solver
Elapsed time is 6.766354 seconds.
</pre><img vspace="5" hspace="5" 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" alt=""> <p>Use the <tt>mean_delay</tt> method to check what the mean delay is (this corresponds to the 'Mean Delay (s)' value shown on the plots in the paper)</p><pre class="codeinput">wc.mean_delay
</pre><pre class="codeoutput">
ans =
0.5000
</pre><h2 id="11">Cortical network</h2><p>We can simulate the cortical network by loading the provided <tt>.mat</tt> file. Note how <tt>reorder_matrix</tt> needs to be used to match the node ordering in the paper.</p><pre class="codeinput">net = ra.network.import(<span class="string">'data_files/cortical_network.mat'</span>);
[conns,dists] = net.netmats();
figure
imagesc(conns);
axis <span class="string">equal</span>
axis <span class="string">tight</span>
xlabel(<span class="string">'ROI'</span>); ylabel(<span class="string">'ROI'</span>);
title(<span class="string">'Connnectivity matrix with standard ordering used throughout code'</span>)
figure
imagesc(ra.analysis.reorder_matrix(conns));
axis <span class="string">equal</span>
axis <span class="string">tight</span>
xlabel(<span class="string">'ROI'</span>); ylabel(<span class="string">'ROI'</span>);
title(<span class="string">'Connnectivity matrix reordered for plotting in figures'</span>)
</pre><img vspace="5" hspace="5" 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" 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" alt=""> <p>For consistancy, the code always uses the standard ordering, and the reordering step is applied at the time the figure is generated. The files included in the paper supplementary material are intended to be standalone material to accompany the paper, and thus use the ordering specified in the paper. This is different to the files provided in this package. If you are using this package, then it is important NOT to use the supplementary material provided with the paper, but to use the files included here that all use the standard ordering. All of the supplementary material in the paper is also provided in this package but with the standard ordering.</p><p>The network object returned by <tt>ra.network.import</tt> can be passed to the <tt>WilsonCowan</tt> object</p><pre class="codeinput">wc = ra.model.WilsonCowan(u,net);
wc.options.tspan = 1;
tic;wc.run();toc;
figure
plot(wc)
title(<span class="string">'Cortical network simulation'</span>)
</pre><pre class="codeoutput">Using Matlab solver
Elapsed time is 5.608824 seconds.
</pre><img vspace="5" hspace="5" 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" alt=""> <p>The activity saturates quickly because global coupling of <tt>1</tt> is too high. We can reduce it to something more reasonable</p><pre class="codeinput">wc.param.coupling = [0.04 0];
</pre><p>We might also want to set a particular mean delay. This can be computed using the distance matrix provided from <tt>net.netmats()</tt>, as shown below</p><pre class="codeinput">target_delay = 10e-3; <span class="comment">% Intended delay in seconds</span>
mean_distance = mean(dists(logical(triu(ones(size(dists)),1))));
wc.param.velocity = mean_distance./target_delay;
wc.mean_delay <span class="comment">% Check delay was set correctly</span>
</pre><pre class="codeoutput">
ans =
0.0100
</pre><p>Now run the simulation and plot the output</p><pre class="codeinput">tic;wc.run();toc;
figure
plot(wc)
title(<span class="string">'Cortical network simulation, reduced coupling and shorter delay'</span>)
</pre><pre class="codeoutput">Using Matlab solver
Elapsed time is 5.300058 seconds.
</pre><img vspace="5" hspace="5" 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" alt=""> <h2 id="17">Change step size</h2><p>To change the integration step size, set <tt>wc.options.tstep</tt></p><pre class="codeinput">u = ra.unit.deco_10;
u.E.P.mu = 0.4;
wc = ra.model.WilsonCowan(u,ra.network.null(1));
wc.options.tstep = 1e-4;
wc.options.tspan = 5;
tic;wc.run();toc;
figure
plot(wc)
title(<span class="string">'WC unit, increased simulation step size'</span>);
</pre><pre class="codeoutput">Using Matlab solver
Elapsed time is 2.497817 seconds.
</pre><img vspace="5" hspace="5" 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" alt=""> <p>Remove the initial transient - 'Burn' lets you specify a period of time to remove from the start and the end. Here we will remove 1s at the start to skip the initial transient. Note that the total simulaiton length is automatically adjusted so that the output still has length <tt>wc.options.tspan</tt> i.e. setting 1s of burn at the start will internally result in a 6s simulation, which is also reflected in the amount of time required to run the simulation.</p><pre class="codeinput">tic;wc.run(<span class="string">'burn'</span>,[1 0]);toc;
figure
plot(wc)
title(<span class="string">'WC unit, transient removed'</span>);
</pre><pre class="codeoutput">Using Matlab solver
Elapsed time is 2.990507 seconds.
</pre><img vspace="5" hspace="5" 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" alt=""> <h2 id="19">Downsample</h2><p>Downsampling can be performed as part of running the simulation to reduce storage requirements. However, filtering can introduce edge artefacts at the start and end of the simulation. Therefore, it is useful to also specify a nonzero burn time at both the start and end of the simulation. In this case, the simulation will extend slightly beyond the requested timespan, and then the affected portion of the time series is discarded.</p><pre class="codeinput">wc.options.tspan = 1;
tic;wc.run(<span class="string">'downsample'</span>,300);toc;
figure
plot(wc)
title(<span class="string">'Downsampled'</span>)
set(gca,<span class="string">'XLim'</span>,[0.9 1])
tic;wc.run(<span class="string">'burn'</span>,[0 1],<span class="string">'downsample'</span>,300);toc;
hold <span class="string">on</span>
plot(wc)
legend(<span class="string">'With edge effects'</span>,<span class="string">'With edge effects trimmed'</span>)
set(gca,<span class="string">'XLim'</span>,[0.9 1])
</pre><pre class="codeoutput">Using Matlab solver
Elapsed time is 0.606803 seconds.
Using Matlab solver
Elapsed time is 1.052646 seconds.
</pre><img vspace="5" hspace="5" 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" alt=""> <h2 id="20">Set the ISP target and rate</h2><p>To enable ISP, set the ISP target and rate on the inhibitory populations in the unit. If you set these parameters in the excitatory population (e.g. <tt>u.E.isp_target</tt>) they will be ignored. Here, we have made tau_isp artificially small for the purpose of demonstrating its effect.</p><pre class="codeinput">u = ra.unit.deco_10;
u.I.isp_target = 0.15;
u.I.isp_rate = 5; <span class="comment">% 1/tau_isp</span>
u.E.P.mu = 0.35;
wc = ra.model.WilsonCowan(u,ra.network.null(1));
wc.param.coupling = [0.1 0];
wc.options.tstep = 5e-4;
wc.options.tspan = 60;
tic;wc.run(<span class="string">'burn'</span>,[1.5 0]);toc;
figure
subplot(1,2,1)
plot(wc)
title(<span class="string">'Neural activity'</span>)
subplot(1,2,2)
plot(wc.nsys_output.a_isp)
ylabel(<span class="string">'c_{ie}'</span>)
title(<span class="string">'Connection strength'</span>)
</pre><pre class="codeoutput">Using Matlab solver
Elapsed time is 6.175165 seconds.
ans =
Line with properties:
Color: [0 0.4470 0.7410]
LineStyle: '-'
LineWidth: 0.5000
Marker: 'none'
MarkerSize: 6
MarkerFaceColor: 'none'
XData: [1×120001 double]
YData: [1×120001 double]
ZData: [1×0 double]
Use GET to show all properties
</pre><img vspace="5" hspace="5" 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" alt=""> <h2 id="21">Rescaling firing rate</h2><p>As mentioned in the paper, the firing rate used in the model is normalized. This can be converted to a dimensional firing rate by multiplying the sigmoid by a dimensional constant, and rescaling the connection strengths appropriately. Changing the time constants or delays is not required, which means that the results can be freely rescaled with regard to firing rate without changing the delay axis of the results (and the connection strength is a single multiplicative step). Here we have an unrealistically long delay so that the delay effects are clearly visible (and we can thus easily verify that the delays do not need rescaling).</p><pre class="codeinput">u = ra.unit.deco_10;
ics = [0.4360 0.0259 0.5497 0.4353]; <span class="comment">% Set explicit initial conditions because these need to be rescaled as well</span>
wc = ra.model.WilsonCowan(u,ra.network.uniform(2))
wc.param.init = ics;
wc.param.coupling = [0.14 0];
wc.param.velocity = 0.5;
wc.options.tspan = 10;
wc.run()
figure
plot(wc);
title(<span class="string">'Normalized firing rate'</span>);
</pre><pre class="codeoutput">
wc =
WilsonCowan with properties:
nodes_per_unit: 2
states_per_node: 1
mx_helper: 'wc_network_rk2'
param: [1×1 struct]
options: [1×1 struct]
units: [2×1 struct]
network: [1×1 ra.network]
version: 1
result: []
nsys_output: []
n_units: 2
n_nodes: 4
n_states: 4
Using Matlab solver
</pre><img vspace="5" hspace="5" 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" alt=""> <p>Now we select a new firing rate, and scale the connection strengths and initial conditions appropriately. Crucially, note that we do not change <tt>u.E.tau</tt>, <tt>u.I.tau</tt>, or the propagation velocity</p><pre class="codeinput">new_qmax = 100; <span class="comment">% Firing rate (s^{-1})</span>
u = ra.unit.deco_10;
u.E.S.qmax = new_qmax;
u.I.S.qmax = new_qmax;
u.cee = u.cee/new_qmax;
u.cei = u.cei/new_qmax;
u.cie = u.cie/new_qmax;
wc = ra.model.WilsonCowan(u,ra.network.uniform(2))
wc.param.init = new_qmax*ics; <span class="comment">% Change initial conditions</span>
wc.param.coupling = [0.14/new_qmax 0]; <span class="comment">% Change long range coupling</span>
wc.param.velocity = 0.5; <span class="comment">% Keep velocity the same</span>
wc.options.tspan = 10;
wc.run()
figure
plot(wc);
ylabel(<span class="string">'Excitatory firing rate (s^{-1})'</span>)
title(<span class="string">'Dimensional firing rate'</span>)
</pre><pre class="codeoutput">
wc =
WilsonCowan with properties:
nodes_per_unit: 2
states_per_node: 1
mx_helper: 'wc_network_rk2'
param: [1×1 struct]
options: [1×1 struct]
units: [2×1 struct]
network: [1×1 ra.network]
version: 1
result: []
nsys_output: []
n_units: 2
n_nodes: 4
n_states: 4
Using Matlab solver
</pre><img vspace="5" hspace="5" 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" alt=""> <h2 id="23">Load a saved run and compute FC metrics</h2><p>We have included a saved simulation correspond to the optimal parameters shown in Fig. 5. First, load and plot the time series. Supplementary Fig. S5d shows a portion of the time series, so we can plot the same part of the signal to regenerate that figure</p><pre class="codeinput">load(fullfile(<span class="string">'data_files'</span>,<span class="string">'fig_5_simulation.mat'</span>));
figure
plot(wc)
title(<span class="string">'Cortical network simulation'</span>);
set(gca,<span class="string">'XLim'</span>,[120,180],<span class="string">'YLim'</span>,[0 1]); <span class="comment">% Part of the timeseries shown in Fig. S5d</span>
</pre><img vspace="5" hspace="5" src="data:image/png;base64,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" alt=""> <p>Now we show how to use the included functions to filter, orthogonalize, downsample, and compute connectivity metrics using AEC, PLV, and PLI. This regenerates the model plots shown in Fig. 5.</p><pre class="codeinput">ts = wc.excitatory;
ts.cast(<span class="string">'double'</span>); <span class="comment">% Restore double-precision</span>
ts.trim([15 10]); <span class="comment">% Remove start and end to ensure no edge artefacts</span>
[Hen,HPhase] = ts.envelope(<span class="string">'filter'</span>,[8 13],<span class="string">'orthogonalize'</span>,false,<span class="string">'downsample'</span>,[1 NaN]);
[HenOrth,HPhaseOrth] = ts.envelope(<span class="string">'filter'</span>,[8 13],<span class="string">'orthogonalize'</span>,true,<span class="string">'downsample'</span>,[1 NaN]);
figure
imagesc(ra.analysis.reorder_matrix(ra.analysis.aec(HenOrth))) <span class="comment">% Note reordering step for display</span>
colorbar
axis <span class="string">equal</span>
axis <span class="string">tight</span>
title(<span class="string">'Model AEC'</span>)
figure
imagesc(ra.analysis.reorder_matrix(ra.analysis.plv(HPhaseOrth))) <span class="comment">% Note reordering step for display</span>
colorbar
axis <span class="string">equal</span>
axis <span class="string">tight</span>
title(<span class="string">'Model PLV'</span>)
figure
imagesc(ra.analysis.reorder_matrix(ra.analysis.pli(HPhase))) <span class="comment">% Note reordering step for display</span>
colorbar
axis <span class="string">equal</span>
axis <span class="string">tight</span>
title(<span class="string">'Model PLI'</span>)
</pre><img vspace="5" hspace="5" 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" alt=""> <img vspace="5" hspace="5" 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MA7JEIIIbaAExIhhBBbwEd2hBAyHIYbHUQGhXdIhBBCbAHvkAYBC62ODKjZFuyE2rL/QLYuYwb0HxAdJUQWg3Ax3PbVf9Vl1/chQcERhvP1xfl36PLFN1fpMn8jFJZDWOD1GpfoUrg2RL3X1QZvTojX48XCMtVfJEQoFbYsU7vRBCEyI5w9mAiA3xXRDE7csnjnP4YlffHdWDtUy8WGsvdC8TyjLQYb2rlHl3OarPopvDcfXAwFW8HyoLowxyEAUuyC6rcXwhJiXeQ38sGMI4r8oboKi++KYysafwjE9SNwF0E7EmsXg2ioIbM5ELGq3iar65AkBN4hEUIIsQWckAghhNgCPrIjhJDh4DT5/+cphgeUEEISRjgcvvvuu0OhkNfrfeihhzyej6rXsVjspptuyszMVErdc889kyZNSugwzxDJNSG9+eabW7ZsWb58eZ9cuXLltm3bnE7nihUrZs2apS9Z+K9Qaj7wy4d12XTz87oM7Z+ny/Gb8nU589H5uhQdJUQWg3AxjHsAPk0773O6fOKCW3SZ2w15Cg58S9+bDvEK0TwonjvR1CA6NTi6IRHAnQOVZIGwA8j2Af2aWdTPBA+IvwkiJFJN7LiBXTNUF7YqwCYRIotBmZBV4fCP1qUro1iXziY4Ec50OLYNMyEUY0Qj+DjyFaxKHQmowRm9ww+jCsB2wxPhJLq2gV2i/7F1WZoLRN3ekw3+EeFiEG0gROxFvJ+fwgJr30rzTLgUR22HIyA8Dq4mq44SLjTUuC17iIg1KwwrUeB4OI1s3LixoKDgnnvu+clPfrJhw4Zrrrmm7+dHjx6dNWvWvffee4bGYQ+SpYYUDAa/853vLFu2zDQ/uigrKiqqq6vXrl17//3333///dZfJ4SQ08GuXbvKysqUUmVlZbt2fRzIVFtbm5GRsW7dukOHrCyLZxnJMiGlpaUtWrRo2bJlJ35SWVlZXl7udDpLS0tN0+zo6NCX33TzHzfd/MczPkxCSII58NeZB/4683SsueSWjpJbOsQPg8Ggz+dTSvl8Pv1/ofr6+r6p6K677qqurj4d47EhyfLIzuPxTJ06taWl5ciRI30/CQaDU6Z89OjA7/d3dHT0Pa7tY94z5QkYJSEk0Yw/b7tS6hPNSSdpatjzyyylVMmX4fG4YRh9j21M0zxRQFJK3XTTTTfddJNSasSIERs3biwtLT2pbf2dkix3SP0xDKO396Ne46FQyDAM6+UJIeSUU1RUVFVVpZSqqqoqKiqKx+PRaFQptWrVqtraWqVUe3t7WlraEGs5W0iWO6T+lJSUVFZWXnvtta2trYFAICcHiqWHvwohCC4FxeSCri/osiMfDmPDDKj3jt4B0Qz1/wxVetFRQmQxCBfD8b+u0+X5GdD24rULIDGh4u6rdTn5v9/WZeFWSJcIYEONopchEeAgtMhQY7dBHd5Z26QsMFLkT7Bun7PWspEBftVpwD4KA0WofScs7IZquSjLRz+EhUUEQByHIT4tNq7UpcOMwncNHDWmfkTqIXuieyacCF8ALgBPEzgLxNGIzJAZEO49jbBlDF8QaQsC4YAQ37WOV5BuAjx64rxEauFg+g5j3Ibld42MCbAwRjMY4+AUi0MtiNgjqWHhwoV33nnn1q1bGxoannjiiS1btjz66KNr1qy55JJL7rvvvvHjxzc1NT300EMJGduZJ3knpPLy8vXr1y9evLi5uXn58uVOZ/LeLBJCEoXP51u7du0JOWfOnDVr1iilzj333GeeeSZx40oMyTUhzZ8/f/78j0zYHo9n9erViR0PIYSQE/C2gBBCiC1IrjskQgg5ZYT5/+cphgd0YFoXwMv2WY34KUQxqIgBEQD1RbB0VzbU8K0RHSVEFoNwMXQugjSR8z43Q5eXZt+ny6m/xL4GBrwPMeJNqDOr8VA6LnoZd8EP+6tyIU1A1fXqSoT8K6VS/OeqwXGORDcB1tJjWKYWXoO0adfoMt6EmRE4TvEaf6wRGzdgTw0RLgDZEkqFs2BVnjZIBFAG/Ja5pkImSGYjtPaQYBSFsxBcDL2GQyzu8fssViZsHfK7I2DlIrhB2Af6pTyAkcfaiWDdusKRDv6aVM8ci09Fckcc23PISBFc2BUQbVPQ1GDlhyCnCz6yI4QQYgs4IRFCCLEFnJAIIYTYAtaQCCFkOJgRWcMjfyO8QyKEEGILeIc0MDmbMQ7HROfYDAhKEba6rABkBU18DWxjDaXgqjo0GzrrvPjmKl2KFkciHEjY6jzroEvTrkugD1NgWa0uHS5wgk3dAVGSBdCzSS37/gJdfm3f73V5TgU0FnIbhbqMZxUppCEvhD8Az+LoP0H3oPhFF+jyyPlgnBu960JY05HjuuqYC5se8SZEJgtzlzFpti5F2yrDAzk6LePgLznDhL+UfdhbSli/VBNcS2KQvv3o0BOg6c7b1i+A0UTPHraACreCdUw45aI9LbqUqTyYJCR6C5ldVsFC1m635lLogCV+9Rx58OvT72CCFVDkVIlBxuvg4hF+zrg/WfLi7AzvkAghhNgCTkiEEEJsAR/ZEULIcAip3qEXIicD75AIIYTYAt4hDYwo/4qwk+zaIl2mHAMXg+mH0rqqa9bVmADmpoTzdJm/8Sh86oe0G9HiSIQDCRfDtG/t0OVzj/2bLs/vfEmXWfMg+Pxg2mJd/ks1dHMXf8VEMMDGXQs2DW+tEvgvLNJlKjoRjh/dpMu0XOgIdc57o3TpaoIApHgA7ASZaEyReT/Y/seJJX2B2QhNm0ZVgwNCeA1EAyRpJcCEHt9h+Ctbxh1hUo4IUnIb4EpQSpmHT6LHj8j7keFAOM7jB1/TpUgD8hZehGsGr4E4eoKcAOyF/NULWu2CGLPowyQQzosY5ht526dbfJecGXiHRAghxBZwQiKEEGILOCERQgixBawhEULIcDju6Bl6IXIycEIaGPFeeqiuQpfeNtHDBg6j97AXP4UCb7wbyrCj34F36UOB3bCqdKgVT/7vt3UpWhyJLAbhYrjh69/VZfpqqOhWNF+hy0tf1pXy/ehRXTaueRAGuaNBl8IsIGrjSim3CfaCnrHwhnxa1xXqEyPerpfJYtiIKF5nObAJEDBhVoDpwzsSK94iEMGyK49wFsTD8L9Y/ACcNVGlV2i1kKvCa0n1q+qLflFi5Y50CBxxRuTadISLQazZ1Z2DawYvhrMHhi2HgT2cPKa8YHSs4ySEbUEcLnFwXD7sDlUIfhkFv/HkDMFHdoQQQmwBJyRCCCG2gBMSIYQQW8AaEiGEDIfjzsjQC5GTgRPSwMTaoWYrXkRvmARl+bgH+ik4sly6HN2EPQKwAB71gwPCa1wCn+aBbaFwazasyoCcAtFRQmQxCBfDmNth4e4fQ/l3A/ojCvffrkvfBHjD3zEWKti5+8t0GTKk1aB27iE1OKXvQnBD7c0QZBBxx3TZkg9v9RfuhSYa7ukQMFH42OdhVR/CAQmMG6fLnNo5uhROBHFenCaMSqVDeTzSBOkJ4lpSfliVow4cIsIdIDIgRHcJpZRjPFgPjAB6HFpOokmENPKUXKrL2D5wE4jj01sH3hwjA9YsWorsuwh2ecJ/waocxZN1GdlmtWZhahD9NQQiqKJhJh5qmhoSAR/ZEUIIsQWckAghhNgCTkiEEEJsAWtIhBAyHLqdsaEXIicDJ6SBES+iu6H8qUbvhkJ0OCtFl81jsaFAGOwDji5YlcsDDgjRQMGJMrAI6q4j3oRBTt0BJX3RUUJkMQgXw+R7t+lyyhrogpE/qlWXa8f8RZczKjbq0nMEkincuAtKqSn4Kr5nPywQiUC3jomrwQMi8hRKAtD4I1IPHgeXD+wVse5+nTA0fOuh7UUUX/IX10NKLWQcCKJBOHop/nN1KcwCzkar9goebDARtXQlKKVijVZpC3JhbPQgUg9EzEFozxsWqxLHR3xXeA3cFbChSfvBmCD+j+/dBleXSFsQYxYeB+smMsLEkffMHl0eUSQB8JEdIYQQW8AJiRBCiC3ghEQIIcQWcEIihBBiC2hqGBij9GLQAbAiBMeBi+F4Brww7+nGaAYTPA6mKLS2QKHV5SuA72IkftHL0NdA4Wv5BVvgw4Npi3UpOkqILAbhYojfAsMITvmyLkfcdbkuj8/YDsPYWKJL0Y1CKWW0jdaliA9wpUIjAxEB4AxAjkPsGAxbVK2FuUAcW3c6SPMw5Cm4ps4CWVunS4fHKn3DjZ8KF4PAutJujbvoXPGTGLbYEDX/ft0o4Kp2usGqYz3O/l1FdHqaK3UpmnfInhGNu3Tpmj1PlwbkaUgcHjjy/S82HbELAtn44xPQ5XINvdAAMHBoUHiHRAghxBZwQiKEEGILOCERQgixBZyQCCGE2AKaGgZG9CYQlXbDhDYQXelgW6if1qTLnDeg8insEj354I9wtUHB09ENKQ8HoX+CKnoZitLLvr9Al/9SDc0XfD96VJeio4TIYhAuhuN7X9Xlb9Ie0eWjz22GYfnhaLjGQo1aKdWTAX8GeQ2wD4S3v6NLcbjq5oLHYURdqS4zt0IjA3cumD7EOVVoEBFV+njNh/BdtAP0zJ0P223Es9aFRgzLWrp7DGQxxLuhtC58GTIBYR/6WPodrhjuckreeRYjEe4baScpxOMTgMPXb5zgjxB+AeEucaFzR+05DDIdQzEsBylyHITlIdrTAp92Q6SItGlAS5mB6XKmDL3QANDUMCi8QyKEEGILOCERQgixBZyQCCGE2IJkqSFFo9EHH3xwz549Dofj3nvvnT59ulJq5cqV27ZtczqdK1asmDVr1pArIYQQcvpIlgnpj3/84/Hjx5999tnt27f/4Ac/ePHFFysqKqqrq9euXVtTU7NixYp169bpy4sX5kWagBsbKOTuh1Jz1rxXcOMLdRHa+ZouUwMXWW0IhzF2mx9W7IeEiK/t+70uxc1v45oHdembAB01REcJkcUgXAz/Z8ldsPBvf6TLyLdv06WrW5b0AxMhyGD0joAujfxpuozXgU/BEQZ3icjI8IkABUSU1kURW1S8ZWJCI5gaMtqgSYLDjOpSRA9EQmByEbEFomWGwLqPg2hsofoZN2RSQxOkUThliw0Yp5GBlhA0UFjvlMiAUAq8BqIrhJGOV0geLCyMG8K2YN32woWmBukuMYZnSfiYDpd3WN876UiI5CGJHtndfPPNSqkpU6YEAgGlVGVlZXl5udPpLC0tNU2zo6Mj0QMkhJCkJlnukK655hqlVE9Pz3333bd48WKlVDAYnDLlI8et3+/v6OjIzPy429uBg59WSo0vemeglRFCzloOHr0s0UNIXpJlQlJKvfXWW6tWrVqyZMlnPvMZpZRhGL29H73TEAqFDAOe9nAqIiQ5KSp4XXFaShDJ8sjuvffeW7t27erVq/tmI6VUSUlJZWWlUqq1tTUQCOTk5FiugBBCyOklWe6Qnn/++SNHjtxxxx1KqVGjRj388MPl5eXr169fvHhxc3Pz8uXLnU6Ym+P4Frd4nR4q6Uo1lcBb66111+pypj9LlymG1dvysv0E4qyFSrLKhTWfU4FtHQyHLr070B0wdoQuZ1Rs1KXoKCGyGISLoXPRJF1u+hl0arj4L7MVMroacw2wpi07Sli22Igd2KdLU5S4sbWHqGlbtyoQHSWE1UIdASOGMjwWG0odNUeXvYHd8NUMq34TwpXgLQQLTDxs4uIq1onGjWy4bnvR1CB2yroTinl0EyyMWQwOzFPwKqt+E8KYoAz8XwhzLgTS1oHZE8IuoXBNYo9kd5JU/kmaeJJlQnr44YfFTzwez+rVqxMyGELIWUCHM21Y32sdepFkJVke2RFCiA0Jh8NLly694447li5dGg6Lhy/qwIEDX/nKVxIysITACYkQQhLGxo0bCwoKVq1aVVhYuGHDBv2jeDy+evXqSCSJwlg5IRFCSMLYtWtXWVmZUqqsrGzXLnil+qWXXrrqqqtcw2yU/ndJstSQThZHOtT8j14KM3fBFigmm2kQiT/zt2AuiOaJ17mxGryzBrcLxeFYO1TpJXWwXbdRCLIWzAWihp+7v0yXniNg4ijYWAIbwo4SIotBuBjmfQPKzkv+771i1M8/+JIu44E2NTixA7W67P0U9JtIgU3JarkzF4rYIhNBWA+EjKfDawAdE6Fa4KvG16hN+aTlkyOyBkT9X1gehNdGNF/oT7wb8jiEJ0JcXdZtMkRwg9kFnVXRgwAAIABJREFU50UYBATCLyBCMZwe/A/XD78gnm4I1BCXscPvg1UF0ZcxFfPA8DdCeBzEsTodrLzlSP8fBoNBn8+nlPL5fPrr+W1tbdu3b3/ggQeeeuqp0z0w+8AJiRBChkOH02oK78///m2JUurxRXv0HxqGYZqmUso0TY/nY7vmz372swsuuKCioiIYDO7fv3/ixImnYsh2h4/sCCEkYRQVFVVVVSmlqqqqioqK4vF4NBpVSs2ZM6e5uXnnzp2dnZ11dXVDreYsgXdIhBCSMBYuXHjnnXdu3bq1oaHhiSee2LJly6OPPrpmzZqrr766b4F33313/vz51is5a+CERAghCcPn861du/aEnDNnzpo1a/QFfvnLX57xQSUMTkgDI+q9Y7ZP1mU0Ax51Zu/N02U8HWya4Xdf1aUovLswAyLeDTVtB+bni8B88eJ9PKtIl16oOstuCyHMcXCjs0CUjl1j54HEjhIii0G4GH6z+A6FfPjjZl2OeR/q9qO2Q+eCaB6UuHdeDs/fx2cU6zJnMyZZoNdA9mLABgoiT0HVwSB9AUx5wJwLdxe0n3B1Qw1fWA/EBTBEigEiViViC9SQuQ94VYfaoVeFsC04LZskuL1wzbuLoBFGPADZJapwFHyaAZdiHQadFG6Ga17ssryM97wBYxbtJ2qtnnQJF4Nwl5CEwBoSIYQQW8A7JEIIGQ4djpNz2ZEh4R0SIYQQW8AJiRBCiC3gI7uBEeViA+IUVNsCqKVnQBlehbLgqIJ5oB9xP0QAhA9jg4DSi2HpAGwpxQ+V5Ia8kC79Fxbp0m3GdVk7F2wLU0yoFRttEDbRgyaOwERIMRDtJEQQg7AwKKUm37tNl441r+gy3HaXLiNLHoFxxuBwtUzOVEC+LroLoEmE/wB4ZzO3Qj+O+qvBp5D3DLgnnOjjaJ4L3gF/E4RxGMY4XVq7WkSVXjSnsO434c29RAlEKwcTTo2wzITnX6/L1M0HcVvoxUDbgnATxJtOwhHwl2u36jLdgykhL0MYR/0iuBSzayHKJLUazlo8D4IbHN3YnkNEQhwDI0/9ErSTwHVHzhC8QyKEEGILeIdECCHDIUhTw6mGd0iEEEJsASckQgghtoCP7Aam9UvQnSGjCfICgpPrdTmyAuquopVDHK0HIntfJAKIV83rZ4ITIWcttEvpB5T0U48c12XPWKt2y579UOCNtICnw2tAjP/oHWAWcKRj4wYMfRBBDKqfiyF+C3QBCPz6/+qyIwRfb2uHvhhZuGbTD7sczINX8YOllbpsWgCGiAkpcCIc1dfq0tkFoQ9xA2R7Fsj8Nisji2jckIpNEGS/CXQxODxgJ+nfucNRCJeiMDVESuAK6SyE4+Pzw+EU/hqXH4w8slcFZogIGkqtWsx1ptynyxlXb9Rl1ZRqXV659TxdRsf6dXlsHERm9I4CX8Y574LloebLsPD3J92gy5UWIyanDd4hEUIIsQW8QyKEkOHQoWhqOMXwDokQQogt4IRECCHEFjji8fjQSyUZxcXFHT/+b/0nM38LteKjc2O6HPPf4GIIt+7VpScbGkxIC4DoN4Gf9kyEwnvKu1DgdY6Ed8tFAbzn6CZdphVdoUvRiUA0QXClQgMF0Y3CyJ9msSqBM7dA/ET0bgj8L3AxZNwG3QdS5n0R1mbCkXcEwMUgi/xYaW9YAAXw2jmbdVlUdb4uC7aCjUXgaIKOCeIIONIhTcDhh1q6yDjwToC0hUg9XDzCOyBOk3QW9MNZCDEQ5r4tFmsTDNHJwnIk4so0G8GM4/g0OIaasP2EYEQdHMzMRvBHWJ8Ice2JC0/QPLZXl72/mVVTUzPYwkqp4uLismfLLRYYjLdu+qP1mpMZ3iERQgixBZyQCCGE2AK67AghZDh0xumyO8XwDokQQogt4B3SwMx4GJLqQ4E3dJnvv0qXjnSotBseqPkLr4GoWgv7gImGiFQT7QM4SJGnEL/oAl2m5X5ODU7tzVDCnbgarASi9YDoghGvg8YNzvETYJAHIIkgmifdAaKjhMhiyJ4HEQm9m17U5Ye/gLr01SPgrf5OfC/kUHisLo/X/KMuL1h/OWzoxl/oMv5bKLw7PHB8erC1h7cNux6ISnsdWkJEFgMaMWSOw6g5ulTCStDPMCIQXSFE54voBRB7IRJGQrVv69La42DtYhAumDp0MewurdLllb+8UJfbr9+vyxkvg02jpzRbl24Twibi2HLl0EVw3aYfGgXfnf+cLnt/o8iZh3dIhBBCbAEnJEIIIbaAj+wIIWQ4dMatAovJMOAdEiGEEFvAO6RPhCxE46fiDXBRHI6i9UC4GBzp8F1nDxpJM6CW7jSgiB1Df8SR86GCfc57ULMVRNzokJhQCBvCBIS6ueBxcIRhFwrg9X/V+6lSXe68fI/Y9JQY/F0pOkpMxCwG4WKYfCcc28xnunRZ9dx/6vK4P6TLSZvBXRLvhhK327xDl6H2F+BTb54uTaNIl6kmNDJQhkdXkRDGB2CogQtjHQQ9zdAyw+lGhwh0QVFKKRc2sxDmFIGnzcpuk4JtU0Rah0x5wJ4q4tN4N5y1lGPjdDmtG8w4wjIz89dwGccDdSAr4PjE8TTF8VBPCsAexer26bLRA+0nlPqxImcc3iERQgixBZyQCCGE2AI+siOEkOHQTVPDqYZ3SIQQQmwB75AGxlEI/SaiH+7UZdxw6FIUh2PHjoIUnR0UOAJEvVc2FOiCorRI1xfV8tG74BV3V1MHbMgPf8215EMFuyQAfS7ELoyoA5/C8YwwLHwAisMp4OFQ4zOKFdIyGbaVhZ+KjhIii0G4GLbevECX8acgbaHUc0SXwe3fgw3hdo9Oh8SEcdumw8KY1ODBJgjxY/DdeHe7LkU+grgeokE41NK2gMguD/3aT4i1idwHIwMzNfCqlj4F9EOIvRAtNnqb/mqxsPBWjNoH10/dXPCeiF+9cJYBcu+ruhR7JHDngBcpOBF+BdIPwv6GRkF+hLg8yJmBd0iEEEJsASckQgghtoATEiGEEFvAGhIhhAyHUCx16IXIyZAsE1I0Gv3e9763f/9+pdQDDzxQXFyslFq5cuW2bducTueKFStmzZqlLy/K1OIFeAe6GMS75aI47BkBgfnRHnipXdSlxXcd2Loi1A5V6LRp1+hSHQE7gOhrIIq0hXtn6lK8pS9GlbkVdtDngTqzGbLqcZCzuUlJ8uHrfjFsOD6io4TIYhAuBuNWvy7X7AIXQ3nWD3XpzIA8hZinWZfCMGKMxJYidbCwcDFId4AlwnfgHQlmCnHGxbEVjT+UUubO1yzWJgYWsTxx1gsbCvwC4oKRC4vWFd3Q+mT0DjC5xI/hBZMFV0tqwTxdCjOFt/AiNTidhXCafEUY3OCBT6H9DDlTJMsjuw0bNhiG8dxzzy1ZsuSRRx5RSlVUVFRXV69du/b++++///77Ez1AQghJdpLlDik/P3/JkiVKqczMzLS0NKVUZWVleXm50+ksLS01TbOjoyMz8+O/1A4evUwpVVTweoLGSwhJDK4fXT70QuT0kCwT0vnnn6+UWrly5SuvvPLoo48qpYLB4JQpU/o+9fv9YkLiVERIchL9zl8Up6UEkSwTUkdHR3p6+j333HP77bffeOONf/zjHw3D6O396Fl2KBQyDMN6DYQQomPGvIkewtlGskxIDz/88PTp07/whS+kpaWFw+FYLFZSUlJZWXnttde2trYGAoGcHOwKkQsBAvJVfANKnuLdcucBeC/dOrc/Je88+C6Wwx3p4s18eI0/3gSl4465RbrMFGYCA861e/ofdenylelSvPDvzrV6H97ZgoPMBQOIMuG1fKVUd0FAl8E8KCaPMeB1+kPhsboUHSVEFoNwMXxm2mO6DNwBBzd3P9pJpryrS7dXBkzoONDW4ci1agsiEPV/0dhCXB7iU2GuiR0AQ8SQyK+fjPlCJjVgdIWC0yJbV4ikBuGgOfw5OMUTmuD4eJrgu2YrfFfYJUJ1FRafZtdC4EhwIoy5oBQMMo2KJIBkmZBuv/32r33ta3/4wx8CgcDXv/51j8dTXl6+fv36xYsXNzc3L1++3OlMFn8HIYTYk2SZkAoKCl5++WX9Jx6PZ/Xq1YkaDyGEEAFvCwghhNiCZLlDIoSQU0uYpoZTDSekU0DEMsbfkz0Fli4cBRLf+Ze1YnQECAeEcF6MeLNal3EcZLwOvBWFj30extwN5XFR/bbeQfmWPpas+1fO/Qfm6zJYWqnLhgWX6fJ4zT/qctJmiK4QHSVEFoNwMfhX/UGXrz8G+xjKgZejry0Ej4PwjygjRVciBcOVCgYZsXC41cryIL4b67TyHTgLzxE/SWmC60e4CYQXwzUbUg8cO2tg5XhaxZXZG9htsbDYrhhn44XwYMZMhWyOuD9bl2/eABu66E9w8bTkgZtidPVkXcYM2FDtXPgVyNozRpc7OyG7BJ055AzBR3aEEEJsASckQgghtoATEiGEEFvACYkQQogtoKlhYKLYm8CJJe1QFhw3L1oAnNiMQKQtiM4F4tOY+K4fMiCiaC5wi7wALDuLhAjRBUP4FATudKzpBkGJVYkN9etEINtPiGYWTQug+0DnnM26vGA9RIrFu+G7wk0gOkqILAbhYrjk65BGkfKzJ3X5D2ZEDY4wJlhHHojYAnH0BMIOINYsEjT6t0gQzU3c2GEhHoAT6dxzWJdh7BkhzqMLry4R3CAQ7SfUPpCjA2Dzaf46dKMQToSL/jRDl55NW3UpByF+E/HD5nTY/e5ZPepvIxRNGXqhfvAmwAIeHEIIIbaAd0iEEJIwwuHw3XffHQqFvF7vQw895PF8dJff2dl5zz33dHd35+bmrly5MkmyzZJiJwkhxJ5s3LixoKBg1apVhYWFGzZsOPHzV155pays7Kmnnurp6fnggw8SOMIzCe+QCCHkTOC8fUX/H+7atausrEwpVVZW9sYbb1xzzTV9P58wYcLkyZOVUmlpaampqf2/eFbCCWlgXAF4A1x4DZQCr4EwJojKs2hGIF7Fj4iFsYjtyoAmCKJWHGuEhY1Js3XpxPq2mlCoq8C4cbr0rd+kS/PwX3Up6vCici4QxfDUUXPEAvVXj4BxpYDLw/vBpbrsvRGaArjNO3R5dDq0BYl5YFWio4TIYhAuhnnfOACjLLLquCEyDowuCNQQzUqEA8LaDhBqB7NJWtEVuoy0wCBF8sIAa9vzhi6FvaLlUrgGcjZDiV5cxiKaQaxKfCr6PphdMOyWudBTIz3nFV02zICkhoNT39flJdWQp9BTCgsHMmIwqtwOXU7yQZSJ4JseiFpeabHo/9B9stFBv3hEKTXizrv0nwWDQZ/Pp5Ty+XwdHR8P+FOf+lQ4HP7Sl74UDof7ZqZkgI/sCCEkYRiGYZqmUso0zRMFJKVUb2+vx+P51a9+dcUVVzz77LOJG+AZhRMSIYQkjKKioqqqKqVUVVVVUVFRPB6PRqNKqe9+97vbt29XSo0ePbqtrW2ItZwt8JEdIYQkjIULF955551bt25taGh44okntmzZ8uijj65Zs+a222777ne/W1xcfPTo0YceeijRwzxDcEIihJCE4fP51q5de0LOmTNnzZo1SqmpU6eKnqLJgCMejw+9VJJRXFycX75H/0kAU+5HHYHyr+dIJ3wfe0bEw9AxwboQHWvHt+VzsQ2E8Efge+nWfQ1EYoLwGgifgmvqLF3Gaz6EUY3EsnwGtjxIxx3EZArVr1ruOO98WLkJdWmxaVHz946crkth+hD2AdmsQWQx4Fk7fvA1XY5+Zocut1cu0+XYbX5dyj4OuF1z3xZdGvnTYBgGhE1sXAr7e+lyGHPLjRcpJOvpv6jBiUW6dOn2grlARjPg1aVMyFOwxuGHxiixY0cHW1IpdXgJnKZIGmyo8CfgeBYdWKSBCD1Bjk+XgazYpkvrHTzYfFVNDZxHQXFxcecvHrFYYDBG3HmX9ZqTGd4hEULIcOiIDSc6aMTQiyQvNDUQQgixBZyQCCGE2AJOSIQQQmwBJyRCCCG2gKaGT8TYBQ/r0nwCM6nSobYpPEWO9JG6FKY7YY0TTicnrlm6yMZAXxnDA34ts3GXLoUhTfTdEWt21dZZfKoaQQqfWMfENF36ArBHSilnN+6jyN0xoMuPQ7bhybP41BiJjjUk3nTM4lOBsNU13AxdedKv86vBEaNSXVZ9d4SvUhzqK/8Dz6mCczq6Wv7+hvH6ET5D4VE0xoFjLR6Aty8dfh8M7CCEAwk/mycbLsU9N0JmT8l6zGEKR2FVHjCpTnoFfl9imEIkvHDi90WMyr0DOnXFcWFVOEpXvds2qpOkJzpEdBM5WXiHRAghxBZwQiKEEGILOCERQgixBZyQCCGE2AJGBw1AcXHx+GnQhSWcB2Xqii+8rssRQciGmfLWRF2mVrfqMp4HteIDZfBp9l4o2jfMBHNB8YZ8i2G3jIM/L0ZVQ9yRSMqJ5mXo0lkLwUIi3yg4E7rOZLRBuo/rSAA2hOE34bHyzfTmsVCXjhswsIKN8KloeGNiFTmzEeN/MKZI7IW1nUS0ODpyAexU+lFwMaS/8CKM6ilYuKvyBpDZENgjTuKOz0PhPXcX9Cg6Nu2wLmc8BoaRSIm8HiKGQw1OaiMc2/qZ8Lvv6YbDNbINVnU8A6TvsDiJaEUJHNeluNiOjQNTQ3AiXHveDvhdK9gJKUROM44SLkV5AeTCd1U3jFlcmZ4m8J4c2HX+kNFBH/6fpy0WGIzJS/8Xo4MGg3dIhBBCbAEnJEIIIbaAExIhhBBbwAmJEEKILWBSwydCFDz9rWBbqMuEt+unKPhUFPkdTUFdpgTh7XHhFxjRCG+tO0yoBoezoAptmFjQFgEB2LVIVoMFuLDwDohhiB0UjYXcXbiwUv4mry7bs2D5WPsRXXrbwAOSipuOH4NwgXh3O4wTu0mJcr94q9/AwAjR4kjQiS4G41ZYuPUX7+rSVw2tpzry4ZfOHQE5ejecF7eJOQWF+Gm/Y9syCWr+cQ8sYHTBBRNLhzyFSBiMCe1ZIMPp4AjIbIRhH/oUXNWe45Aw4uzGs4ajyjyco8vRf4JjG5oB582U3go4awptLOIXxHWgVpfuboxQUSTxcEIihJDhkMLooFMNH9kRQgixBZyQCCGE2AJOSIQQQmwBa0gDEw8ELT7N3TFWl1nGGF16dzTAqiw3lLsfXiZ37Nyjy3xVDKsyoKbtaYPoAR8U+KXXQO5ROmTvR4PQMsONxWEH+iNEYwvRAkDg6s4RPzEMCCPIx0QAhd06hAdE7hS6GIRPIVaPWQypciSwKvRHOA6gPwI7SogsBuFimHwn9FNIvQh8GQ2lkKCRtQcuHqXgFI/aAhX+fTeDs2BUlfiuOjILrp+sQCZ8vB+SHUI+yFPoLoTQkHP/DD0jdn8G0knGLvirLvcG5uvyst/N1aVIeQiMBzNFXg2EcYhLUanRujBMZUF0LLhLRKyDuDwiTQd06S28yGrV5IzACYkQQoZDWoSmhlMMH9kRQgixBZyQCCGE2ILkmpCi0ehNN910Imp35cqV119//Y033vjBBx8kdmCEEEKSq4b085//vKOjIxaLKaUqKiqqq6vXrl1bU1OzYsWKdevW6Us60qFQH8HyeM5hcASEskRUAVSej14PVXpXO6z5yCwIop/TBJ0slGVnB2XA6RO2BdFeQVgPIk1QlE7xn6vLUF2F1XdD0C8gdRQkEQji4R7xk/C7r1os7y25VJexOujOEAlBKIbbm2uxKokB8QFil8XhMibNhu+irUN0lBBZDMLF0FPxki533QL5ET3qO7q89+oputz9o5/Bhj6Eon3z1HqFzFktbQ6ACZfTxKfAa+DILYSFu8GaMfPHsI89jdAIY0E2OCAc6fDddPz1SRXmAryc3NOu0WXs9TfV4MRHwO+LAy8250i4PEzcrrx4xC8XSQRJNCG9//77pmnOmjWrT1ZWVpaXlzudztLSUtM0Ozo6MjMzrddACCEnMCKcw04xyfLIrru7+8knn1y6dOmJnwSDwZEjP7p38fv9HR1gRT2wd86BvVZ/+BNCzkr4u59AkuUO6aGHHpo+ffrbb7/d0NBQWVlZVFRkGEZv70fP1kKhkGGAg3P8lMpEDJMQkmD6fvc5JyWEZLlDuuyyy7Kzs1taWkKhUHt7eyQSKSkpqaysVEq1trYGAoGcHKu3JgkhhJxukuUOad68eX3/2L59+5VXXjlixIjy8vL169cvXry4ubl5+fLlTifMzfEAvLdvHUYgGijkD7acUkqptC547pzZmTH06P8H4a1wTZ0FHzeBmcKD9V5hLhDvpQsXgzXekdN12RvYbbFwf9+B+InZBU0BQnve0KWRAf0XxIkQ794LxMLCtiCOjxzVvi0Way7e8Gldio4SIotBuBgu+TokESx+Zp4un2/+nC6vTIcb9/MW3q3L9965Xwysfi5GbGBHifw38HCh+yZeBwkj4U6wk7hmwzhjdVarUugJcheBf0QYVeQvV5d0wcB38YyLQcqF6yCLQdhYoj0tsLSRLP8Z2pmkOwf/9m//1vcPj8ezevXqxA6GEELICZJuQiKEkFOCaK5I/naSpYZECCHE5nBCIoQQYgt4yzkwjvQRugw3Qu20pRQq7cfHgAMidGERSB+8Th/MhzyFf5j4iC7fmw9l6tE74M387pkQ1J/ZGNFlx1zYru8wlqwPgHdA+cFM4WyEwrKoM7vHQHyA8FYI34EIU+jvOxBuglQf1PxFRoZwl7iwOYVoVSD8EW5vnhouRv40XcbaYad2fB6uB/HoRnSUEFkMwsXQcPMMXb6zeokuHzDf1+WBXz6sy9Gm7G1iZsCfmA3TmtTgRGbAiRDNGjy1EGwBXTH6nXRHHlhCIgfB5yIafzgLYbuxg1amGOsTIS42ed2iUUX4etw5eN1aDoOcGXiHRAghxBbwDokQQoYDTQ2nHN4hEUIIsQWckAghhNgC3nIOjKiderKhqp8e8KKEInbqfshpPcccrUt3V1SX710ILoaCreA1cASwzUHA6nz59pu6jDdZmQsc+Fq+QNR7491WgQiCmHXIf79kB1Eet/YpCJxuOFwiQkKMRJTWRYk71L5Tl2m5V+lSFM9zd83V5ejdouQPUnSUEFkMwsWw4na4Huq/06rLUVVwpV11/SLcrtp81490OWF/li7NVug54t7WrkuHJxUk+npcTXApRkQLCQy2kBkZmKdgHZFtNu7SpTiJ1p1QjIwJ+KlVsxKxIWIHeIdECCHEFvAOiRBChoMrzD/oTzE8oIQQQmwBJyRCCCG2gI/sPhEOv0+XMiIBuw8oE7pRuPc06jLeDZXkwm54a111QY5DeCIUpT1NmMxvGdQvitIKw/bFpx4DCu8CYTSw7gEhTAr9EZ0v4mHwYjjRP5E6Cvqk9TRbNU4UxgSR1BDrhFWLYacVXaHLjUthVVf+B+QFHJt2GDZkwi6P2hLQ5e4f/QxWhR0lRBaDcDGM+dHbFoMM3iC7oojTGjsGJ05YAKyDDOLtIIXlwdprIBDZHALHeefr0kD3RKj2bTU41jYWsYPC4yAyIOLdnbBqaCFCzhC8QyKEEGILOCERQgixBXxkRwghw8GJDXnJ3w7vkAghhNgC3iENjNl1QJfOfVavfPsC0EBB4MgFY4IjDP6IcB7Uit0BMDW4tu3RpcgDEDH+wuMQacFdEGVnA96Xj+LCAvFdcXCkSQGLw6JUrvq5GBweKPJHRbsKWTzHrhmW7QZcPqvzIpwa4nBduhx8K6aCt/pnPIYekEI4M/tuhsYfvg+hh8h5C+/WpegoIbIYhIvh+MHXdPlK99VK8N1Nutpe/G1dzv1FlS5T9zl02TIO/jwV1oyGT2fqcvQ7aJnJgMvYupWD6FXhCoB/QDQ3EafY+lJM8Z+rS3HtCU9HrA4urZQLroRRNg8w8tNBOBy+++67Q6GQ1+t96KGHPJ6PfjE7Ozu/+93v9vb2pqWl/fSnP3W7k+L/at4hEUJIwti4cWNBQcGqVasKCws3bNhw4ucvv/zyeeed94tf/CInJ+cvf/lLAkd4JuGERAghZwLHT8scPy0TP9y1a1dZWZlSqqysbNeuj2/EU1NTFyxYoJQ655xzgsGgSg6S4jaQEEJOOc7ISZoalr2jlIr/56f1nwWDQZ/Pp5Ty+XwdHR/nMn/xi19USh09enTdunWPP/743z7avws4IRFCSMIwDMM0TaWUaZonCkh9/P73v3/ppZd++tOf5uTkDPLtsw1OSAMjqqMOf9ZgSyqlwmOhwOs047p0dUFwgzKhWu5pgwp/rNuqI0BkBrgYeg0oSnvbwB3gxvAF2UIC4yQE7iLYfRObC/QrHWPbC6wki7KzUsqbewksH2jTpSxi56IxoV5ZLTweug/EDkDrCuEBEX/cCm9F/aWw5tHV8JsSyYBvi5YiwpjQPBUG/d470GBiNF4toqOEyGIQLoYxt8ORV0qlXvRPuvzSN7bCtrBNRjgLdnlUNSY14GkdvQW7ddRV6FIYW8R5EQ1HUpQV4ruiaUgUA0fEpagMWLdjQqEu00yryyNmJKZ+UVRUVFVVNWvWrKqqqqKiong8HovFXC7XW2+99d57761evdrlSiJzOWtIhBCSMBYuXLh+/fply5a98sorCxcu3LJly5IlS5RSzz///NGjR5ctW7Z06dL33nsv0cM8Q/AOiRBCEobP51u7du0JOWfOnDVr1iilHnvsscQNKmFwQiKEkOHgNofz/6fVs/Kkh4/sCCGE2ALeIQ2MqJ2K3g3uMeAXEF0hxGvq8VQrh4zDgLfWRX6+C00NopOFB5tiCLuEefiv8F1MMXCI+n8jtmaoO6RLo/RiXUY+hNYMoq2DYIBuFAZcdY7C0bqMY6lZIMIXRNqCufM1NTgpTXAw5SlGsp6GbI4wVtqjl83XZcskMCYcmQX5GnNWg8ehfi5YCcwM+KNw810/0qXsIYJBDMLCoJTqqXhJl39qK9flw3dfr8sntv5KlwevhoM5/8cNM44EAAAfFElEQVQQzfCT71+uy1nhJ3V55S8hQcNEy0NK3nm6bJkLbUFG7YN7hnA11EuMkdAkwi2ulmPgiBG9XZzd8AsifjGlXQItQiQh8A6JEEKILeCERAghxBZwQiKEEGILWEMihJDh4Azz/89TDA/owIjXxSMhKHGLsrzo++CydDGIt9a9mAEhvhvuRHNBPhR4JRi+YL0LRgA8DgLhrYgJFwN+6skWkRBQWB5onBELKfIU4k0w7H4xEOCA8I6cbrFZ8V2RRhHa84bFd4UlJIqfxj3wg6xAphocB3Z1a5gGPREm7IfrIXYMjAainYQIYlD9XAyXfB2+/qffQp5CMA/OlD8dFt69FBwB/3QIDCPT6mGcPfkQkZCqoGuGCnTpKqMLHsyIwAjPCGyq4ge7RNzA2ILCUboSLgblscw4wFgHEbBCEgIf2RFCCLEFnJAIIYTYAk5IhBBCbAFrSIQQMhwcNDWcanhABybUDmV8IwNyDeIBbOBo9upK2BZEVIHwGoiuEOK7YuGQ5Qvw4da9anCEEyHSIrtCwKfogBAbijRBBkQvStGJINaOfpB+uxwpyYdP33lLl8JNIBDnReZcYKyDaDAhTqJoZNDTXKlLcT2kNcJ2jS5Ys9oPe6TMgK7y37AKtjBb4WBGQmB5mPuLKl2KdhKqXxaDcDF0LpqkyylrXoGBuVp1GXwCohk+tfw2Xf6/ekh5cL3+pi5FVwxhe/G2oasFEQka7jAmjKA/IjrWD8MwwcUQzYD2QhL8te3K4uOixMNzQAghxBZwQiKEEGILOCERQgixBZyQCCGE2IIkMjV85Stf6e7uVkqdf/753/rWt5RSK1eu3LZtm9PpXLFixaxZs/SF04rgVfN4GMq0oRmQgZ/aCNVRAxMBZMoDIgPz0cUgqsHWWCcmONJHWnw3hoaIWKRrsCVVv0GK/AjhYhB2AKVUeD4U3jsLYZw5b0LNP3pBiS49bXAiRISEONTS4zB7ni6dew7rsuXScbr0rceMjHFg66ifCW/1x9I7dBnyHdflxKewrwHW0iMzIJjAvQ2OhvB0pO6DVYmMA9Wvo4TIYhAuhvgtYPo49FSaLiu/DDEQG1qW6XJqekiXzYsv0GXWEYhX6MFhBsaDeyLmAY9DUQ1cXXXz8VfPB0evzQ/X7dgPJuoyevkLuiyoLdOlMLl05Vld8wPiMC2TIMjJkywTUk9PTzQaffbZZ0/8pKKiorq6eu3atTU1NStWrFi3bl0Ch0cIISRZJqS9e/eOGTNm3bp1I0eOnDdvntPprKysLC8vdzqdpaWlpml2dHRkZn4cQXbg4KeVUuOL3knckAkhCcBcdWGih5C8JEsNqb6+vrW11TCM119//dvf/rZSKhgMjhz50VMsv9/f0QFPXcYXvcPZiJAkxLhjq3GHTK0lZ4ZkuUMqLy8vLy/v+8cVV1zR29trGEZv70fPo0OhkGHIx/GEEELOJMkyIT355JMTJky4/PLLOzs7Y7GYx+MpKSmprKy89tprW1tbA4FATg70fRBBBu4cSFuwftVcIOP0MfRexCsIg0C8uxMWxm4UYs3iFXdR0neiFHskF3ZDUVrW4TE+wNkCVWhpecAwBaVU6uaDuvRhAw6olSvlOQJHIFIvzBe4U5axDo6dNboMowMiZzOcl6gI1Ai0wai6wQERwY4S3YVQtHfkFsKq6hp0KboeODypsDAaZFrGwSONUdXwqVLq4NXQQkJ0lBBZDMLFYNwKqQdfeuZFXXYqOCD/4H9Plz95/zldpjZCRALsklIZbbChmAFOjVjkiC4LXoZ9dORm6zI4bowufdthB9X2f9SV2bpFDU7BG+BbsQoy+R9c4WR5wnTGSJYJ6bOf/ew3vvGNl156qbGx8Xvf+57T6SwvL1+/fv3ixYubm5uXL1/udPLaIoSQRJIsE9KYMWNeeAE8oB6PZ/Xq1YkaDyGEEAFvCwghhNgCTkiEEEJsQbI8sjtZ3GMg9aBnYqYuvTugLg1VaaWcI6G0LvwRsU6owwtjgnAxiJq2teVBVPilmQIRnSyEE0Egh4E+BdHlQeDs12xBrC18GBouiG4dodq3dSmaRCgs6osjIEfitjJfRINQ/5etK/w+XY5sgzp8exaYGs79M/o4rJ0ptWCmcKSP0GW8HfZw1BboZCECRJRS838MF+rupTBs0VFCZDEIF8Pemz+ly7QpV+nykbngSj04A8wmKeeWwrDXbdel+OVyomFEpYK9SASOhKthQ5nHMMokFwwywj8iPC9m1ycxLlhh9PIP+lMMDyghhBBbwAmJEEKILeCERAghxBZwQiKEEGILaGoYGFFL9waglh4rgRf1nWYMPq35UJfuydNhzTtf06UoYguvQUoevD0u/RFYwxeWh+MHYUPCieAtuRS2u+cNXcr6fyH4IyL74I138+gmiw31x10EB9PlL4aPMU9BeByEI0CUqUX7CfGpCEFwoewN7IZPsbQeOQifHp8I+ZvhdEiy2P2Z13U588dzYM3YBQMuHaVcTdAEQYy54dPgWRi9RSY1/OT7YFv4p0NwDXxq+W26FB0lRBaDcDEc3/uqLn+64t91+e3X4LoVA4ued74um/NhzFmNEAsi2oLEp8Pl0ZMFdomgAccv5zDIfi1F4EKVuR4G/zNMPDwHhBAyHAzTMfRC5GTgIztCCCG2gBMSIYQQW8AJiRBCiC1gDWlgRCKAqHh7A1AOjQeCuhRvgKfUifR9wGzcpUvhJhCvqQs82fCaunhvX5gLRME/ts8q1EDmR+AOyvYT2KvC7KrVpdubJ1Y+hIHCMjNC+Dgc6SN1aShwQDgsbQuipi0zICy36zsMLobMRvg9GrsAsid6GqHLQ6wOrSjo2ojghsR2R79jZYFRSs0KP6nLafWQXPD/6n+ly6np0OtDdJQQWQzCxfBvX1qhyyM/3Q/j3A075QrAhnJM7D1W16wr0UXFtQeWNS4s0qWvGjwgojvJqG70IuEZF8dWXOQkIXBCIoSQ4eA240MvRE4GPrIjhBBiCzghEUIIsQWckAghhNgC1pAGRgQouHvwpW4PtBtweKBI6y28SJfWtgXrNAGBC2v4wvIgzBRiGK5uTPXHHhDC8iAQrRm8IyF7QjgLxMIil0EpFW/CbRnQf0HslOjloaDgrXqbwD4gDRFQSh/CLiEsD8LjIP0jBlwAhz4F9fC9gfm6XJCN0RUmGCIceRg2gSkYcswZcHmIU6yUuvKXYDDpyYdj63r9TV02L75Alz95/zldio4SIotBuBimfWuHLit/CqOa8wx4HASOdNzHoPgUfhMDeXBSXa9j75JJs3Up8jWEi0EmNRAbwAmJEEKGg4umhlMNH9kRQgixBZyQCCGE2AJOSIQQQmwBa0ifCAfm56uusK7i3Z26tG6R4Mwt0GXsGFgAxHcFYlWh9p0WC4tRieJwbx3Ue0XxvKe5Ej+FUnksAq/HexV4HOQwTvIFeOFiEJYQ67q0sGYIY4K1j0MkJjj8kHGw58YOXZasPa5Lz3HwDlz2u7mwqnQ4EQpr+KLwbu28GHJhE7MbUtUV8CkunHUETmtqo0eXKedCowfRUUJkMQgXg/A4VP0QvBhTnxuly2geJn3sxaSPHNiQv8kLn+IFIPwy4viIDBHxqcu08hORMwPvkAghhNgC3iERQshwcIRjQy9ETgbeIRFCCLEFnJAIISRhhMPhpUuX3nHHHUuXLg2Hw+LTH/7wh7t37x7wi2clfGQ3MKKW7m7Hl7rRmCAK4FAa7hcBgMn7Q0QkiLqrcDGIBhOi/CsTInpgVaKGL1MeMItBWAmUsorxd6VCJIQqhAp2fxpKI7rMWQtleSN/mi6FU0P4FMROiU+dhdBTQ+2DIy+OgDhNJevhUEfz4CQ7u6O6PJ4Bna3TsSeCiK4Qh0u4WkQfEIG4tJRSKXnngQ6A/UTkTfTgToqa/qh123UZRV+P6CghshiEi2H89+Cctj8V0OXRw1fp8tw9c2CQpdm6rFgAdolL9xfBINEfIQaZhn6Z6Fi/LtWewyoRbNy4saCg4J577vnJT36yYcOGa665pu/nR48e/cEPfvDmm28uXLgwIQNLCJyQCCHkTHDwvan9f7hr166ysjKlVFlZ2RtvvHFiQsrKyvrGN74xYsSI/l85i+GERAghw8FhRodeSGP8+TuUUgfen6H/MBgM+nw+pZTP5+vo+PjtgtTU1KlTp2ZnZ6tkgjUkQghJGIZhmKaplDJN0+PxDLn82Q0nJEIISRhFRUVVVVVKqaqqqqKiong8Ho2e3I3X2QQnJEIISRgLFy5cv379smXLXnnllYULF27ZsmXJkiWJHlTCYA1pYIQfyZELPrrgOIiK8R2GDjfRemzagwinXFoRhLtEWsDr5R4Dw4jUWiWjiGY5AuGFi18EvXDcFd0WC7t84CoMt6JtDONboj2w+/EM6RP7y7VbLcZ5+ZEyXdaVQPJQyrFxuhy1D22y3XAiImhva7wQ/vwaHYBj2zI3T5fZf6qBNYfhj9Zj42BVcQ98GhgPOUOpeDBjdeCjE94/60c2onlSSr8FxF5kdME4vW1gaAyMb4WF28B1Jq695nzYUI4pfIiACAcStjrjVtjQqF+/oUtH4Y263FsGjZfcXri6gqVQjzmeAddDjgG/EZGxabAqbB7RdDXu4W/UmcHn861du/aEnDNnzpo1a07I73znO2doHPaAExIhhAwHhxkZeiFyMvCRHSGEEFvACYkQQogt4IRECCHEFrCGNDBHPw/lUAdmTPX62nVpGlDCHRWAGJVYI9S0pRPBsCpjN8+EKBTfYfiuwwODbC6FVjE5WLR3+H263HdRgy4n7beKHXJh/I+RLnYBriKnx6VL4UpQSqV7IP6nM+U+XU4v+YMud5dW6XJaN3gx6uZCNszoHZm6PPy5sbo0U6Ee3vx1cECk57yiy+6CebqM4ZjNVLgeMg9D/E9eDbzMGAk16VJcALGDVkllDsvAnv4Il0c4y8p6EPNACSRmQOKRM9Cmy6xGuBRVXTOMEy8JEeEjwoGEiyHjNriMe9b8ly6bgpAkNGXvTF125UE2Uhz36MgYOMXZe8Hx0XvjKl1+yQUX3uO/UeTMwzskQgghtoB3SIQQMizCdNmdYniHRAghxBYk0YS0fv36RYsW3Xrrre+++27fT1auXHn99dffeOONH3zwQWLHRgghxBGPx4de6u+fQ4cOfetb33r66adbW1vvvvvuZ555pqKi4vHHH//Vr35VU1OzYsWKdevWnVi4uLi48Ipq/euubXt06SieDLJJ1u11rFv4OLG1kjAIKHzzLnbsKHwX+7vEw6YuRZ6C6KwjhiHHPL0YNoStYkRegOrCVfmx+t1/5cegWl5/NQTsi7p04WaoeMfrwIvhKBxtsWZRaY/74UX9mAF/jTXMgHiFkO+4Lie9MlKXBz8Du3zOC3Dko0E4TaIBkjxciLCTGOOgv5HInpAGmX7ttcRJFyEa0l5h3dcKEasSmF21ukwdBcYEcdZ6vgkuhvgt8BuRNu0aiw3JgyksQvjbFE8Hi8fua+A0FW6FY9W2rqSmBtM6kOLi4gnFlVZjG4TamjnWa05mkqWG9Oc///m6667bs2dPJBLpS+aorKwsLy93Op2lpaWmaXZ0dGRmZg65HkIIIaeJZJmQ6urqampqLrvssoaGhtWrVz/++OPBYHDKlI+M0X6/X0xIda+VKqXEfRIh5KynbV3JJ1wybsqO4+RvJFkmJJfLNX/+/Ntvv10pdd111x09etQwjN7ej15TCIVChgG385yKCElOsj63R53MtEROIcliapg5c2ZLS4tSKhqNdnV1ZWRklJSUVFZWKqVaW1sDgUBOjtUTc0IIIaebZLlD+uxnP/vmm2/+8z//cyAQuOWWW3w+X3l5+fr16xcvXtzc3Lx8+XKnE+ZmzxFwIsRwbZEMCCPwdEPhXfQXEIh4BfPwX3Up6syiHi5aV6R6sFaMXgNnUFa8YWH0ZfRu26hLYycunQ4lfXPfFos1e7qHcE/UL4KadtUUuBm9+C+zdbn9eug+MPPXkBkhkwiyoIOApwk2/eYNkIlw0Z+gc8HBqe/r8sKlkIkQy4Aki4Kd8OdzaAZkHCgFOxh7/U01OEb+NFgYnQWh2rd1KS6P/r4DYySsTRhM3GG4Qurmgxej4GU4XPFuiCMRPhcXuHyUIx2cKe4cOFw9pRBdITpKiCyGK6eBj+P4rt/r8sMfQ1RHdi60MjGccNY+6J6ky4JAoS5TOyDZZNwNkBjStk6RM0+yTEgul+s//uM/9J94PJ7Vq1cnajyEEEIEyTIhEULIKcY0h16GnAzJUkMihBBiczghEUIIsQV8ZDcwcczeFwjLg8DsOqBL+To9NhAQn4o37V1NULU2MiboUlSS4wGrwAjxan1kG1T43V4MXxCYEOMvFhb7G+4ET4cIC1BKZdeCReLKrefh55DUMONltEgE6mBbe1/VZSr2jDAxq+KiP82HgW2Cevgl1dDXIJ6HT2PwCDhNyDcxM8DUYFg+yBG2hVg7nPH+4QsWn/aPS3CL6AoD3DeOADRrCPlgpxy5YD0IV8PR68kq1aVxYZEuA3lwWfubwC9QsWAHDNILwxYdJQTCxTD53m0w5jX1MIzX/rcu0eChxmyH0yRyPYJ//h4u/qLFqMhpgndIhBBCbAEnJEIIIbaAj+wIIWQ4xMO9Qy9ETgbeIRFCCLEFvEMaGOt0fUc31KVluwGs+Yu31iMtYAEQLgYDEwEEoh6uMiD0QTV1WiwspNiQ+FTESYi0BTHmlDxwJTj8Pl2G9ryhkNRq8GJEx/p16ToS0KV4yT9eAYH/wuXR2/RX/BT2sQUL78LFITYkLA/CTeA0IbvDd9gqZDOOtg5h+hAHMxJq0qV35HRdCv9Iih8bW/Qr1KtCCLYQh7rND7aF4Lgxusw8NgU+NXCXq8Ef4Xodjrz4Fbh0fxGsqhQyMrryYFWio4TIYhAuBtGrIvBDOHpH/WCBGYP2GdGd5OhsPImwQ+QMwTskQgghtoATEiGEEFvAR3aEEDIcrNsuk2HAOyRCCCG2gHdIAyNKzTL23/K7wiAgXAxmV60u3d48i++6sO+DMQ6qsjKawUjBNVvlKQgp6v+i8C5WJY5GGAMRRNuL/tED8TxwPRwbF9Vl3k448m4zC76Lh0vgLbxIl6G6Cl2OroaOG8qH9fAMLNpbWkI8dXBelAe6YAjvgMPy72hxfIRNQ2xXuhjwjKt+PSOc3XCoXSZcuWM/mKhL3/ZWWFcuHPmcw3B8IvVw0o1J0DQk3gQnMZoHXTCOZ4B9IO6BbA5leEBhRwmRxSBcDOO/B2f80OOP6fK8ma/pMn8fnLVwmlXQCTkz8A6JEEKILeCERAghxBZwQiKEEGILWEMihJDhEA8fT/QQzjY4IQ2Md/oVoDG3X5TlhcchgnkBnmx44z01FTpK9AagDYTAjdVyUUkWGRDxsFXbA1E8F6MSxgSBCG5woVRYs3dNnQWyFt6WV0o5umGcvaPg+85c8BrEsdFDHPdCHAGBTKMw4HmAeDjQm9sBg/x0GWxoB7g8HFjwD2fBaRLNKZwjwRISqwM7iTCMCDeN+FT4jB0TChUiXAzKA9dmNAP8AtHLX4CFt/8jbKuuQZctl47T5ahusFdEDsJlLE1AATAm5Bhw/RwZg4lwBgR5fNA9SZeio4TIYhAuhkv/99d16b4Om3GY4K2YOPsXutynSALgIztCCCG2gBMSIYQQW8AJiRBCiC1gDYkQQoaDTN8nfzOckAYmbkD9sxff+TfaoVoeat+pSxG+IJpTCGRfA5TWPgXRfiJeB/VwkcUgyuMnNQzRjEOWrDHyQPVzMUiw0n7Ou1CHD4+FTw9dBKX1SQGopQcnpumysxByCrJrS2Fcc8GY0JwOb+ZP8lXr0vEUpBgIM4WjG+rwrgOQviH+nzIt0xaET8Ha4yCaU6SZEOug+pkLrCmoBeOG2brFYiS+9Zt0GcNP5S5jHEka2joiY+GsZe+F35d4OgQ3FATAuDFmuwMkdpQQWQzCxZD+wou63PgYXLfzYmjVIYmAj+wIIYTYAk5IhBBCbAEnJEIIIbaANSRCCBkOsUjX0AuRk4ET0sC0jIN7x+wacDE4C8/RZRrKWB2+1Y8tJESDAOEI6MWUB3cRvg+Pn7oC8F2ZCIBWC5cPW1fgMKwjDxzdnaCx64FwbYg9EhtSSqljbbqq+TK0n5j4Dnw9/dAoXcbq4A369INQS/cVCcsDbDZrzxhdds+y6gohnRqFMIxwBlTL3d1wiiNNVnYS4RARR95s3KVLIx+iCWJ12BQDzRRKKRfmgMj+FCZ4MRyYAyKwNsUIF4N1gxLRj8ONSRa9N67S5e7DV+kytcOryzhePI502JDoKCGyGISL4ZKvw3V7dDWcCOsWM+Q0wUd2hBBCbAEnJEIIIbaAExIhhBBbwAmJEEKILaCpYWCyGkGKAq/HX6xL557DINHjEG+Cl+2F9SCOfgFRDRahBuJTUdGN++EFeG/7dFgVluUbZkLIf94ze3QpStaeEbBHAlFIFy4GkTWglKpfAkfg+5Nu0OUjh3+vS/f853TZ6IGFQ6MgbSHmgU0XlEJDgZ2dM/uN/WO+6Vmty+fMi3TZu22jLr0ll+oSavRKeQvhu+r/t3cvoU2lYRjHXw05g/FSnSpekazUUqTqXMCN4oWBqOiixDaJ2MxgVWonootUq4O4cCCoBXdSu3PjbEalXlBEjSjGMDgFafGy0IVNHGwnTYy2SUwyi0In6VQLM5rztvP/rfIdvoQHmuRpTr58x7AWD4tedB/fW2HY0+OLr74rHA67oIaIZI2ijQyGXQgj+WXR/OTsokVi828XLXsZrjh2Phb/0EQRsaSLdz0ofoH8sXFO4fAHy5XC4S+/7SocLqw5XDiM3/ipcNj9TdGyhYytKNWwK0oM24th2CqGefVFu6IUbYnxAayy++T4hAQAUIFCGgOe//6xf+3N8qJ7jdkRRmb5ea3ZEUbw/Om3ZkcYWbr1a7MjjODPi0vMjlAimUzG5/Pt3LnT5/NlMpnR7zCuUUgAYJrr16/Pnz+/tbV1wYIF165dMzuOySbk8/nRZ/3PLF68ePRJAMavAz/++n1j5Ucm/Jd3iSdPngzdDgQCq1atWrlyZSgUun379oEDB/71w44DLGoYQeHTBQD+6VO9S8Tj8bKyMhEpKytLJBKf5DHHLk7ZAYBpDMNIp9Mikk6nrVbrqPPHNwoJAExjt9s7OztFpLOz0263mx3HZHyHBACmicfju3btmjt3bjQaPX369PTp00e/z/hFIQEAVOCUHQBABQoJAKAChaRUMBg8ceLE0DAQCGzdurW2trajo8OsSNls9ujRoy6Xy+12P3r0SEmwbDbb3NxcU1NTU1MztBLX9FSF8Vwul6pgO3bscLlcLpfr+PHjelKJSHt7u8fjqauru3//vqpgKJ08lOnr6zt48ODy5cuPHTs2eCQUCtXV1WWz2a6urs2bN5sVrL293e/35/P5jo6O6upqJcEuX7585MiRfD5/5cqV3bt3K0k15NSpUxs2bOjq6lIS7N27d16vt/CIhlT5fP7FixdOpzOVSkUiEZfLpScYSolPSOrYbDaPx7Nv376hI+Fw2OFwTJw4saKiIp1Om/jrObfbLSKLFi2KxWJKgs2ZM8fr9YrItGnTbDabklSDHj58mE6nly1bNjjUEOzp06fz5s27ePFiMBjM5XJKUonIjRs3nE7n48ePo9Ho2bNn9QRDKVFI6lit1srKyoULFw4dicfjQ4tBZ8yYYdYrc9OmTVVVVf39/YcPH96+fbuSYCtWrLDb7YFAwO/3ezweJalE5O3bt21tbT6fb+iIhmCRSKS3t9cwjFu3bvn9fiWpROTly5fnz59/8ODBpUuXGhsb9QRDKbF10BhgGEYqlRq8PTAwYBiGWUnu3LnT2trq9XrXr1+vJFgikZg8eXJTU1N9fX1tbe3Vq1c1pBKRkydPLl269O7du9FoNBwO2+12DcEcDofD4Ri8sW7dulQqpSGViFgsltWrV9fX14uI0+ns7u5WEgylxCekMWDJkiXhcFhEent7Y7HYzJkzR73L5xAKhc6dO3fmzJnBNlISrKWl5cKFCyJis9kymUwul9OQSkTWrFlTXl7e09MzMDDQ19f3/v17DcHa2tpu3rwpIm/evMnlclarVUMqEamqqurp6RGRbDabTCanTJmiJBhKiR/GKhUMBu/du9fc3CwimUymoaEhlUq9fv26sbFx48aNpkTav3//s2fPBs+izJo1q6WlRUOw7u7uPXv2lJeXx2Ixj8dTXV2tIVWhQ4cObdu2raKiQkOwSCSyd+/e2bNnv3r1qqGhYe3atRpSiUg2m21qakomk7FYbMuWLW63W0kwlBKFNGYkk8lJkyZZLJbRp5aWhmCDJ+4KM2hINSINwRKJxNSpUydM+Pt65xpSiUh/f79hGGPi74jPgUICAKjAd0gAABUoJACAChQSAEAFCgkAoAKFBABQgUICAKhAIQEAVKCQAAAqUEgAABUoJACAChQSAEAFCgkAoAKFBABQgUICAKhAIQEAVKCQAAAqUEgAABUoJACAChQSAEAFCgkAoAKFBABQgUICAKhAIQEAVKCQAAAqUEgAABUoJACAChQSAEAFCgkAoAKFBABQgUICAKjwFxXOAnJ/C5JgAAAAAElFTkSuQmCC" 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" alt=""> <p>We can compute synchrony and metastability from the phase timecourse. The values below match those mentioned in the Supplementary Material (with and without orthogonalization).</p><pre class="codeinput">order_ts = abs(mean(exp(1i*HPhase.vals),2));
synchrony = mean(order_ts)
metastability = std(order_ts)
order_ts = abs(mean(exp(1i*HPhaseOrth.vals),2));
synchronyOrth = mean(order_ts)
metastabilityOrth = std(order_ts)
</pre><pre class="codeoutput">
synchrony =
0.5292
metastability =
0.2306
synchronyOrth =
0.2075
metastabilityOrth =
0.1052
</pre><p>The subject-specific FC matrices are also provided, and can also be plotted (averaged over subjects). Note that the addition of <tt>diag(nan(68,1)</tt> sets the diagonal of the matrix to <tt>NaN</tt> so that the colour range automatically ignores the self connections.</p><pre class="codeinput">d = load(fullfile(<span class="string">'data_files'</span>,<span class="string">'data_fc.mat'</span>));
figure
imagesc(diag(nan(68,1))+ra.analysis.reorder_matrix(mean(d.aecOrth,3))) <span class="comment">% Note reordering step for display</span>
colorbar
axis <span class="string">equal</span>
axis <span class="string">tight</span>
title(<span class="string">'Data AEC'</span>)
figure
imagesc(diag(nan(68,1))+ra.analysis.reorder_matrix(mean(d.plvOrth,3))) <span class="comment">% Note reordering step for display</span>
colorbar
axis <span class="string">equal</span>
axis <span class="string">tight</span>
title(<span class="string">'Data PLV'</span>)
figure
imagesc(diag(nan(68,1))+ra.analysis.reorder_matrix(mean(d.pli,3))) <span class="comment">% Note reordering step for display</span>
colorbar
axis <span class="string">equal</span>
axis <span class="string">tight</span>
title(<span class="string">'Data PLI'</span>)
</pre><img vspace="5" hspace="5" 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" 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" 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" alt=""> <h2 id="27">Reproducing Fig. 5 from scratch</h2><p>If we wanted to reproduce the simulations in Fig. 5 from scratch, we could construct it as follows. See <tt>sweeps/deco_rk4_isp.m</tt> and <tt>+ra/+sweep/simulate_plasticity.m</tt></p><pre>u = ra.unit.deco_10;
noise_mu = [0.31 0];
noise_sigma = [1e-2 1e-2];
u.E.P = struct('mu',noise_mu(1),'sigma',noise_sigma(1),'name','gaussian');
u.I.P = struct('mu',noise_mu(2),'sigma',noise_sigma(2),'name','gaussian');
u.I.isp_target = 0.15;</pre><pre>net = ra.network.import('stam_cortical');
[c,d] = net.netmats;
mean_distance = mean(d(logical(triu(ones(size(d)),1))));
min_distance = min(d(logical(triu(ones(size(d)),1))));
mean_delays = 1e-3*(9);
velocity = mean_distance./mean_delays;</pre><pre>wc = ra.model.WilsonCowan(u,net);
wc.param.coupling = [0.14 0];
wc.param.velocity = velocity;
wc.options.tstep = 1e-4;
wc.mx_helper = 'wc_network_rk4';
wc.param.round_delays = false;
[wc,isp_ts,activity_ts] = ra.wc.ramped_plasticity(wc,50,30) % Long ISP run (1500s)
wc = ra.wc.long_run(wc,25,21,300); % Output run for analyzing activity</pre><p>This would be expected to take on the order of hours to simulate.</p><p class="footer"><br><a href="http://www.mathworks.com/products/matlab/">Published with MATLAB® R2017a</a><br></p></div></body></html>