diff --git a/Rough work.ipynb b/Rough work.ipynb index d50e99b..ebc77f6 100644 --- a/Rough work.ipynb +++ b/Rough work.ipynb @@ -15,7 +15,56 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# The logic: each time the neuron fires, a spike appears this is followed by an explonential decay\n", + "# try to plot a series of exponentials\n", + "\n", + "fig, ax = plt.subplots(2,2)\n", + "\n", + "z = np.arange(100)\n", + "z1 = np.linspace(0,25)\n", + "z2 = np.linspace(25,50)\n", + "z3 = np.linspace(50,75)\n", + "tau_prime = 5\n", + "ax[0,0].plot(z1,np.exp(-z1/tau_prime))\n", + "ax[0,0].plot(z2,np.exp(-(z1)/tau_prime))\n", + "ax[0,0].plot(z3,np.exp(-(z1)/tau_prime))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ok, so the above simple simulation of the chain of transients didn't work too well. Let's try a different approach\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -32,33 +81,164 @@ " for i in range(n_timesteps):\n", " x = np.random.rand()\n", "\n", - " # firing with probability of 1/1000 at each time bin\n", + " # firing with probability of 1/1000 at each time bin - firing at 1 Hz\n", " if x < 0.001:\n", " firing_neuron[i]=1\n", "\n", " # then make a plot of it!\n", - " plt.plot(firing_neuron)\n" + " plt.plot(firing_neuron)\n", + " plt.xlabel('timesteps')\n", + " plt.ylabel('Neuron activity')\n", + " plt.title('Neuron Activity over {} timesteps'.format(n_timesteps))\n", + " plt.show()\n", + "\n", + " return firing_neuron" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "firing_neuron = simulate_neuron(70000)" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "# takes as input the activity of a neuron over a given number of timesteps\n", + "# and returns a plot showing corresponding changes in [NM] \n", + "\n", + "def nm_transients(neuron_activity):\n", + "\n", + " # timesteps where the neuron fired\n", + " firing_timesteps = np.nonzero(neuron_activity)\n", + "\n", + " # the time between the start and the first action potential\n", + " dt_0 = np.array([firing_timesteps[0][0]])\n", + "\n", + " # array of the intervals between the firing timesteps\n", + " dt_sequence = np.diff(firing_timesteps)\n", + "\n", + " # Include the time interval for the 1st action potential\n", + " dt_sequence = np.concatenate((dt_0,dt_sequence.flatten()), axis=0)\n", + "\n", + " # convert dt to seconds so that we don't get infinities/zeros\n", + " dt_sequence_s = dt_sequence/1000\n", + "\n", + " # length of dt_seq\n", + " length_dt = np.size(firing_timesteps)\n", + "\n", + "\n", + " # constants to plug into the equation from the paper -- CHECK W KENTA\n", + " tau = 5\n", + " A = 100\n", + " n = length_dt\n", + "\n", + " # [NM] transients caused by the neuron firing - equation 7\n", + " transients = (A/(np.exp(dt_sequence_s / tau) - 1)) * (1 - np.exp(-n*dt_sequence_s / tau))\n", + "\n", + " # find the highest and lowest change in concentration recorded:\n", + " nm_max = np.max(transients)\n", + " nm_min = np.min(transients)\n", + "\n", + " # Plot NM transients vs time:\n", + "\n", + " # make an array with the [NM] at all the timesteps,\n", + " # including the timesteps at which spikes/transients were recorded\n", + " nm_conc = neuron_activity\n", + " nm_conc[firing_timesteps] = transients\n", + "\n", + " # plot the [NM] at all timesteps -- 1st plot\n", + " n_timesteps = neuron_activity.size\n", + " t = np.linspace(0,n_timesteps-1,n_timesteps)\n", + "\n", + " plt.plot(t,nm_conc)\n", + " plt.xlabel('time (ms)')\n", + " plt.ylabel('NM concentration')\n", + " plt.title('NM concentration across {} timesteps'.format(neuron_activity.size))\n", + " plt.show()\n", + "\n", + "\n", + " # generate sequence of numbers to use in plot to compare the different transients\n", + " n_spikes = np.size(firing_timesteps)\n", + " z4 = np.linspace(0,n_spikes-1,n_spikes)\n", + "\n", + " #plot each of the transients side by side in sequential order \n", + " # this second plot is just a check -- not necessary\n", + " \n", + " plt.plot(z4,transients)\n", + " plt.xlabel('n (Action potential number)')\n", + " plt.ylabel('NM concentration')\n", + " plt.title('NM transients due to neuron firing')\n", + " plt.show()\n", + "\n", + "\n", + " # returns the smallest and largest transient\n", + " return nm_max, nm_min\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, "metadata": {}, "outputs": [ { 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(7182.345463526534, 73.7418623291733)" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "simulate_neuron(70000)" + "nm_transients(firing_neuron)\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/Simulation.ipynb b/Simulation.ipynb index 8efd57c..b518689 100644 --- a/Simulation.ipynb +++ b/Simulation.ipynb @@ -201,55 +201,6 @@ "Now let's simulate a simple case of neuromodulator release caused by our firing neuron. Here, we assume that the neuromodulator release occurs instantaneously, and that we are dealing with one compartment and there's no uptake. " ] }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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3ob6+Hl1dvBKOaLCzqsdFbmdOxh6XRva4ALheuFyuBHq6pc3iBBQKBYeL7Gz9+vVYtGgRFi9ejNjYWGzYsAERERHIyckxu/7u3buxb98+FBQUYMaMGYiKisKUKVOQlJTk4ORE5GwsLlx6z5xWrVqFkpISJCcnY9asWaiq6n9i47x58/Dvf/8bmzdvxjfffINt27Zh7NixtxTcEr2XRLPH5RptOODmAXR3AM18Rg9wfbiIE3Rtr6OjA8XFxUhJSTFZnpKSgkOHDpndZteuXUhISMCLL76IsLAwjB49Gk8++SSuXOn/tgZ6vR7Nzc0mLyJyPRYPFX33zAkANmzYgI8++gg5OTnIysrqs37vmVNFRQX8/Ax3KI2Kirq11BaKunZJ9JkGwyXRCoXCoZ/vdNzcgWFRQOMp4NJpYGiE1IkkZ7yyqJmFi601NDSgu7sbQUFBJsuDgoJQV1dndpuKigocOHAAarUaO3fuRENDA5YsWYJLly7121ublZWFtWvX2jw/ETkXi3pc5HrmFOHnDYUCaNF3obGNky8BXB8uajwtbQ4nEakxPAqBPS72c+MJw81OInp6eqBQKJCXl4cpU6bggQcewPr167F169Z+247MzEzodDrjq7qaw35ErsiiwuVWzpy++uor7Ny5Exs2bMD27dvx2GOP9fs5WVlZ0Gq1xldExK31CKg93BGqNVwSXckriwz8bzO8s3ABcL1wOdvMZzjZWkBAANzd3fu0EfX19X3akl4hISEICwuDVqs1LouNjYUQAjU15u9wrFKpoNFoTF5E5HqsmpwrxzOnkYFDAACn61tv+We5hIBRhveGk9LmcBJR2igAwPnW87jSxcdD2JKnpyfi4+NRWFhosrywsLDfybbTpk3D+fPn0dp6/Xg9efIk3NzcEB4ebte8ROTcLCpc5HzmNHK4YYLu6YssXAAAAaMN7yxcAADDVMOgVWkhIDjPxQ4yMjKwadMm5Obmory8HCtWrEBVVRXS09MBGE5W0tLSjOs/9NBD8Pf3x8KFC1FWVob9+/fjqaeewm9+8xt4eXlJtRtE5AQsKlzkfOY0cvi1HpeLHCoCcL1waaoCOtnDoFAoEK0x3FG4Usc7CttaamoqNmzYgHXr1mHixInYv38/CgoKEBlpGKKrra01uTJxyJAhKCwsRFNTExISEvDwww9jzpw52Lhxo1S7QEROwuKrijIyMvDII48gISEBiYmJePPNN/ucOZ07dw5vv/02AMOZ0x//+EcsXLgQa9euRUNDgyRnTjHXelwq2ONi4BMAqLXAVZ3hRnRBt0udSHLR2miUXixl4WInS5YswZIlS8x+b+vWrX2WjR07ts9JEhGRxYVLamoqGhsbsW7dOtTW1iIuLm5AZ05PPPEEEhIS4O/vj3nz5uH555+33V4MwG3XelyqLrVD39UNldLdoZ/vdBQKQ69LzZeG4SIWLojWsseFiMjZWXXLfzmeOQ33VcFXpUSLvgtnG9sxOshX0jxOwVi4nJI6iVOI0kQBACqbWbgQETmrQfGQRcAwhyGGVxaZ4pVFJnp7XM7ozqBH9EichoiIzBk0hQtw/cqib1m4GPRO0L34jbQ5nES4bziUbkpc7b6K2rZaqeMQEZEZg6pw6R0eOsnCxWD4tedFNZzkwxYBKN2UxuGi0028MR8RkTMaVIXLmN7Cpa5F4iROYlgUoPQCuq4Cl89IncYpjBpqGD47dZnzfoiInNGgKlxGBxsKl9MXW9HRxTkMcHMHho8x/Lm+TNosTuK2YYZHIXzb9K3ESYiIyJxBVbiEatUYolKiq0fgTCNvRAcACBxneK8vlzaHk7htKAsXIiJnNqgKF4VCgdFBhiuLvuFwkUFgrOGdPS4Arg8VVTRVoKunS+I0RER0o0FVuADAmGvDRScvsHABwB6XG4T5hsFL6YWOng5Ut9z6wz2JiMi2Bl/hcm2CLntcruntcWn8FujSS5vFCbgp3DBSOxIAh4uIiJzRoCtceifofsMeFwNNKKDSAj1dvIPuNb0TdHllERGR8xl0hUtssAYAcLaxHS1XOyVO4wQUiuvPKao7Lm0WJzF6mOHGfF9f+lriJEREdKNBV7gM8/FEqFYNACivZa8LACBkvOG97j/S5nASY/0MN+Zj4UJE5HwGXeECAONCtQCAE+d1EidxEsHXCpdaFi7A9cKltq0WTVebpA1DREQmBmnhYhguOnG+WeIkTsLY43IcEELaLE7A19MX4UPCAQBfX2avCxGRMxmUhcvtLFxMBYwB3D0BvY63/r8m1t9wtdXXjSxciIicyaAuXL6tb+Gt/wFA6Xn9gYucoAsAGDPM8CgE9rgQETmXQVm4hA31gtbLA53dgjei68UJuibY40JE5JwGZeGiUCgQF2bodTl+jhN0AQAhEw3v50skjeEsxvkb7ihcoatAWyefa0VE5CwGZeECABPChwIAjlU3SZrDaYTFG97PFXOCLoAArwAE+wRDQKCskc9xIiJyFoO3cIkYCgAoZeFiEBRnmKB75TJwuVLqNE7hBwE/AAB81fCVxEmIiKiXVYVLdnY2oqOjoVarER8fj6KiogFtd/DgQSiVSkycONGaj7WpidcKl5MXWtCm51OAofS8fj+XmmJpsziJuIA4AMDxBk5YJiJyFhYXLvn5+Vi+fDlWrVqFkpISJCcnY9asWaiqqrrpdjqdDmlpafjhD39odVhbCtKoEaxRo0cAX3Gei8F3h4vI2OPCwsU2XOGEh4ikZ3Hhsn79eixatAiLFy9GbGwsNmzYgIiICOTk5Nx0u0cffRQPPfQQEhMTrQ5raxMiDHfQPVbTJG0QZ8HCxcQ4/3FQQIG6tjpcbL8odRxZc5UTHiKSnkWFS0dHB4qLi5GSkmKyPCUlBYcOHep3uy1btuD06dNYvXr1gD5Hr9ejubnZ5GUPvfNcSqqa7PLzZae3cKk9BnR1SJvFCfh4+GDk0JEAgP808DLxW+GIEx5HtRtEJC2LCpeGhgZ0d3cjKCjIZHlQUBDq6urMbnPq1CmsXLkSeXl5UCqVA/qcrKwsaLVa4ysiIsKSmAMWP2IYAKD47GUIXkkD+I8EvPyAbr2heCFMGD4BAHCsnn8f1nLUCY+j2g0ikpZVk3MVCoXJ10KIPssAoLu7Gw899BDWrl2L0aNHD/jnZ2ZmQqfTGV/V1dXWxPxeEyKGwsNdgfoWPaovXbHLZ8iKQgGMuHZmW3VY2ixOYnLQZADA0fqjEieRL0ed8Diq3SAiaQ2sRbgmICAA7u7ufRqb+vr6Po0SALS0tODIkSMoKSnB448/DgDo6emBEAJKpRJ79uzBfffd12c7lUoFlUplSTSrqD3c8YMwLY5WNeHLM5cwwt/b7p/p9EbcCXzzL6DqM2DaUqnTSG5S4CQAwInGE7jadRVqpVriRPJl7xMeR7UbRCQti3pcPD09ER8fj8LCQpPlhYWFSEpK6rO+RqPB8ePHUVpaanylp6djzJgxKC0txdSpU28tvQ3cEeUHADhy9pLESZzEd3tcOHyG8CHhGO41HF09Xbyfi5WsPeF5/PHHoVQqoVQqsW7dOhw7dgxKpRKffPKJo6ITkROyeKgoIyMDmzZtQm5uLsrLy7FixQpUVVUhPT0dgKG7Ni0tzfDD3dwQFxdn8goMDIRarUZcXBx8fHxsuzdWSLhWuHx55rLESZxEyARAqQauXAIaTkmdRnIKhQITAycCAErq+TgEa7jiCQ8RSceioSIASE1NRWNjI9atW4fa2lrExcWhoKAAkZGRAIDa2trvvcTRmSREGiboflvfisZWPfyHDPKuZqUnEJYAnD0AVB0Chg+8q95VTQ6cjMKzhSiuL8Zv8Vup48hSRkYGHnnkESQkJCAxMRFvvvlmnxOec+fO4e233zae8HzXd094iGhws7hwAYAlS5ZgyZIlZr+3devWm267Zs0arFmzxpqPtYthPp4YG+yLr+ta8FnFJcweHyJ1JOlF3WUoXCr3A/ELpE4juTuC7wAAHL1wFJ3dnfBw95A4kfy42gkPEUln0D6r6LsSR/oDAA6ebpA4iZOIvtvwXrmf81wAjBo2CsNUw3Cl6wq+auQ8F2stWbIEZ86cgV6vR3FxMe6++27j97Zu3Yq9e/f2u+2aNWtQWlpq/5BE5PRYuACYNjIAAHD4dKPESZxE+B2A0gtouwjUl0udRnJuCjdjr8tntZ9JnIaIaHBj4QJgSowf3BRAZUMbzjfxfi5QegKR164uqtwvbRYnMTXEMCH0i9ovJE5CRDS4sXABoFF74AfhQwEAh9jrYmAcLtonbQ4n0Vu4HLt4DO2d7RKnISIavFi4XHPXbYZ5LvtO8mF6AICYewzvlfv53CIAI3xHIMQnBJ09nThy4YjUcYiIBi0WLtfcMyYQALD/5EV093BCKoInAD7DgY5W3v4fhvu53BV2FwCgqKZI4jRERIMXC5drJkUMhUathO5KJ0qreTM6uLkBt91v+POpPdJmcRLJYckAgAPnDvChnEREEmHhco3S3Q3Jo4cDAPZ+w+EiAMCoGYb3bz+WNoeTmBoyFR5uHqhprcGZ5jNSxyEiGpRYuHzHvdeGiz75ul7iJE5i5H2Awg24+DVw+azUaSTn7eGN+KB4ABwuIiKSCguX77hnzHC4KYAT55txjpdFA17Drj908ZsCabM4ienh0wEAn1TzQX9ERFJg4fIdAUNUSIg0PHTxo6/qvmftQWLsjw3v5f+UNoeTuG/EfQAMD1xsvMJL54mIHI2Fyw1mxgUDAD46wcIFADB2tuG96jDQxkcihA4JRaxfLHpED/ZW75U6DhHRoMPC5QYp44IAAF+euYTGVr3EaZzAsEggZAIgeoCv/yV1GqcwI9IwafnjKk5aJiJyNBYuN4jw80ZcmAY9AtjNXheD2DmG97IPJI3hLGaMMBQun9V+Bp1eJ3EaIqLBhYWLGQ9OCAUA/KP0vMRJnMTt/8fwXrEXaOUVVzFDYzB62Gh09XSh8Gyh1HGIiAYVFi5mzJkQCoUC+KLyEh+6CAD+I4GwBMNw0YmdUqdxCrNjDHN/Cip5tRURkSOxcDEjROuFKVGGq4t2HWOvCwDgB78wvP/n79LmcBKzomYBAI7UHUFdG4cUiYgchYVLP+ZOCgMAbC+u4e3dAeD2nwIKd+DcEeDiN1KnkVzIkBDEB8VDQOCfp3mpOBGRo7Bw6cePx4fAy8Md39a34mgVn10E3yBg9EzDn4++LW0WJ/HT234KANhxagd6RI/EaYiIBgcWLv3wVXvgx+NDAADvflEtcRonMTnN8H5sG9DVIW0WJ3B/5P0Y4jEENa01+LLuS6njEBENClYVLtnZ2YiOjoZarUZ8fDyKivp/bsuOHTtw//33Y/jw4dBoNEhMTMRHH31kdWBH+uWUCADA//6nFrornRKncQK33Q8MCQbaG4Gv/1fqNJLz9vDGA9EPAAC2n9wucRoiosHB4sIlPz8fy5cvx6pVq1BSUoLk5GTMmjULVVVVZtffv38/7r//fhQUFKC4uBj33nsv5syZg5KSklsOb2+TRwzDmCBfXOnsxntH2OsCd+X1XpfP35A2i5P4xRjDpOWPz36MC20XJE5DROT6LC5c1q9fj0WLFmHx4sWIjY3Fhg0bEBERgZycHLPrb9iwAU8//TTuuOMOjBo1Cn/6058watQo/POf/U9o1Ov1aG5uNnlJQaFQYMG0KADAXw+fQXcPJ+ki4TeAmxKo/gw47/zFp72N9RuLyYGT0SW6kP9NvtRxiIhcnkWFS0dHB4qLi5GSkmKyPCUlBYcOHRrQz+jp6UFLSwv8/Pz6XScrKwtardb4ioiIsCSmTc2dGIah3h6ovnQFH5fzjBqaEMMVRgDw2evSZnESvx73awCG4aIrXbzvT38GyxAzEdmXRYVLQ0MDuru7ERQUZLI8KCgIdXUDu5fFyy+/jLa2NsybN6/fdTIzM6HT6Yyv6mrphmm8PN3x0JQRAIDsvad5aTQA3Plfhvfj7wGXz0qbxQncG3EvwoaE4bL+Mnae4g36zBlMQ8xEZF9WTc5VKBQmXwsh+iwzZ9u2bVizZg3y8/MRGBjY73oqlQoajcbkJaWF06KhUrrhWHUTDp9ulDSLUwiLB2LuAUQ3cOgVqdNITummxMLbFwIAtpzYgs5uTuS+kSOGmIlocLCocAkICIC7u3uf3pX6+vo+vTA3ys/Px6JFi/D3v/8dM2bMsDyphIb7qvCra70uGz85xV4XAEj+veH96NtAc620WZzA3FFzEeAVgLq2Ovyzgv+5fpejhpidZW4cEdmXRYWLp6cn4uPjUVho+mC5wsJCJCUl9bvdtm3bsGDBArzzzjuYPXu2dUkl9ru7Y+Dp7obPKi7hwLcNUseRXlQyEHEn0K0H9r8odRrJqdxVWHD7AgBAzrEc6Lv10gZyIo4aYnamuXFEZD8WDxVlZGRg06ZNyM3NRXl5OVasWIGqqiqkp6cDMMxPSUtLM66/bds2pKWl4eWXX8add96Juro61NXVQafT2W4vHCB0qBcevtPQ6/Li7m/Y66JQAD98zvDno28DjaelzeMEUsekItA7EHVtdfj7N3ym043sPcTsTHPjiMh+LC5cUlNTsWHDBqxbtw4TJ07E/v37UVBQgMjISABAbW2tyYS7N954A11dXXjssccQEhJifC1btsx2e+Egj917G3w83XH8nA7/KOXDFxE1zXBTup4u4OPVUqeRnFqpxpIJSwAAb/znDej08irO7cVRQ8zONjeOiOzDqsm5S5YswZkzZ6DX61FcXIy7777b+L2tW7di7969xq/37t0LIUSf19atW281u8MFDFFhyb23AQCyPixHm75L4kRO4P51hocvlv8TqNgrdRrJ/eS2n+C2obdBp9fh1ZJXpY7jFAbzEDMR2R6fVWShRXdFY4SfNy4067Hx36ekjiO9oHHAHYsNfy54Guga3HM7lG5KZE7JBAD8/eTfUdZYJnEi5zBYh5iJyPZYuFhI7eGO1XPGAQA2HajE8Ro2pLg3E/AZDjR8AxStlzqN5KaETMGPon6EHtGD1YdWo7OHl0cP5iFmIrIthZDBLNPm5mZotVrodDqnGbd+YlsJ/nnsPMYG++Ifj0+DSukudSRpndgJvLfA8DiA3+0Fgn8gdSJJNVxpwNx/zIVOr8MTk57A78b/TupIt8QZj8HvI8fMRK7GHsche1ystGbOOPj5eOLruha8tPsbqeNIb9xcYOyPDRN1318MdLRLnUhSAV4BeOaOZwAAOaU5OH7xuMSJiIhcAwsXK/kPUeHFn40HYBgy+uTrQf4cI4UCmLMRGBIMXPwa2L1S6kSS+3HMj/GjqB+hS3Th6f1Po7mDN0QjIrpVLFxuwYxxQZifaBijX/ZuKc40tEmcSGI+/sBPXwegAI7+FSjeKnUiSSkUCvzfxP+LUJ9Q1LTWYOX+leju6ZY6FhGRrLFwuUXPzo7F5BFD0XK1C4v++iWa2jukjiStkfcC9/3B8Od/PQlU7pc2j8Q0nhr8z73/A5W7CkXnivA/xf8jdSQiIllj4XKLVEp3vP7reIRo1Th9sQ2/e7sYVzsH+Vl18u8Nc156OoF3fw1cOCF1IkmN8x+HtUlrAQB/Lfsr/lb2N4kTERHJFwsXGwjUqLFl4R3wVSnxxZlL+O3bRwZ38aJQAD99AxiRCOh1wNs/AS4O7gnMs2NmY9lkw6W8L3z5Araf3C5xIiIieWLhYiNjgzXYvOAOeHm4o+hUAxb/9cjgvrOuhxr41TYgeDzQdhHYOhuo/Y/UqSS1KG4R0sYZbrK29vBavFP+jsSJiIjkh4WLDU2J9kPugjvg7emOA9824FdvfYb65qtSx5KO1zAg7R+Ge7r0Fi+nP5E6lWQUCgWeTHgSv479NQAg64ssbDy6ET2iR+JkRETywcLFxhJH+uOd396JYd4e+E+NDj957SBKqi5LHUs63n7Agn8BkdMAfTPwt58Dh7MB57/voV0oFAo8fcfTxocxvnX8Laz4dAVaOlokTkZEJA8sXOxgYsRQ7FwyDSOH+6BWdxXz3jiMN/efRnfP4PzPGmot8OsdwPhfAqIb+CgTyP810NYodTJJKBQK/NfE/8Lz056Hh5sHPqn+BPP+OQ/HLh6TOhoRkdNj4WInUQE+2PnYNDzwg2B0dgv8qeBr/PLNwzh1YZCeWXuoDfd4+dELgJsH8PX/AtlTga92DNrel5/c9hP89Ud/Nd7nJe3DNKw/sh7tnYP7rsNERDfDwsWONGoPvPbQZGT9nx/Ax9MdX565jFl/KcLz/1s2OO/3olAAd6YDiz8Gho81zHvZvtBw1VHd4Lwl/g+G/wB/n/N3zI6ZjR7Rgy0ntmDuP+biXxX/4twXIiIz+JBFB6m53I41u07g4/J6AICvWomF06KxICkKfj6eEqeTQOdV4OAGoOhloLsDgAK4fa7hHjCD9AGNe6v3IuvzLJxvOw8AGD1sNH43/neYMWIG3N2kfYinHI9BOWYmcjX2OA5ZuDjY3m/q8ecPv8bXdYYhI7WHG346KQwPT43E7aEaKBQKiRM62OUzwL/XAV+9f31Z9HTgjkXA6FmAcnAVdVe6ruBvZX/D5q82o63T8AiJ8CHhSB2TigdvexB+aj9JcsnxGJRjZiJXw8LFRRqgnh6BD7+qQ86+b/HVuesP3hsb7Is5E0Lxo7hgjBw+RMKEErhwAtj//wFlHwC9QyTe/sDtPwXG/cRwMzt3D0kjOpJOr8P/K/t/ePebd6HT6wAASoUSd4XdhZSoFNwdfje0Kq3D8sjxGJRjZiJXw8LFxRogIQS+qLyEv31ehY9O1KGj6/qchih/bySPGo6kkf64I9oPAUNUEiZ1oKYq4MgWoDQPaP3OE7fVWiDmHsMr8i4gYJRhzoyLa+9sx4eVH+K9k+/hROP1Rye4K9wxMXAiEkMScUfwHbg94Hao3O33OyLHY1COmYlcjdMULtnZ2XjppZdQW1uL22+/HRs2bEBycnK/6+/btw8ZGRk4ceIEQkND8fTTTyM9PX3AnzcYGiBdeyd2n6jFv47X4fDpBnR2m/6zjPDzxg/CtYgL1WJssC9GBQ1BqNYLbm4u+p93dxdQuRc4sRP45kOg/YZLp9VDgbDJQMgEICgOCBwH+I8ElK5b4H17+VvsPrMbH5/9GKd1p02+5+HmgbF+YzHOfxzG+I3BqKGjEK2NtlmvjByPQTlmJnI1TlG45Ofn45FHHkF2djamTZuGN954A5s2bUJZWRlGjBjRZ/3KykrExcXht7/9LR599FEcPHgQS5YswbZt2/Czn/1sQJ852BqgVn0XDn7bgAOnGvB5ZSNOXmg1u55K6YZIf2+M8PNG2FAvhAz1QrBGjUBfFYb7quDn44mh3p5wl3tx09MNnCs23HX3zAGg5kugy8wdiRVugDYcGBYFDB0BaCMATSgwJBjwDQJ8hhuGn1yguKluqcahc4fwed3nKL5QjEtXL5ldz0/th/Ah4QgbEoaQISEI8g5CoHcgArwC4O/lDz+1H7yV3t87t0qOx6AcMxO5GqcoXKZOnYrJkycjJyfHuCw2NhZz585FVlZWn/WfeeYZ7Nq1C+Xl5cZl6enpOHbsGA4fPjygzxzsDZDuSif+U9OE4+d0KK9twde1zTjT2NanV8YchQJ4auYYLLnnNgckdZCuDuDCV8D5EqDuP4b5MRe/MdyZdyDCEoDf/tu+GR1ICIGalhp81fgVyhvL8c3lb3C66TQutF/4/o0BeLp54h9z/4Fw3/B+15HjMSjHzESuxh7HodKSlTs6OlBcXIyVK1eaLE9JScGhQ4fMbnP48GGkpKSYLJs5cyY2b96Mzs5OeHj0nXCp1+uh1+uNXzc3D/A/JBel9fJA8qjhSB413Lisq7sHNZev4OyldlRdase5y1dwofkq6nRXUd9yFQ2tHdBd6YQQgI+nRf/Mzk/paRgmCpt8fZkQhvvCNH5ruFJJVwPoqoHmWqC1DmitB9oaDHfu9fCSLLo9KBQKRGgiEKGJwKzoWcblbZ1tqGquQnVLNc63nkdtWy0utF/AxSsX0dDegEtXL+Fq91V09HRAo+J/7EQkDxb9j9bQ0IDu7m4EBQWZLA8KCkJdXZ3Zberq6syu39XVhYaGBoSEhPTZJisrC2vXrrUk2qCjdHdDVIAPogJ8+l2ns7sHl9s7oPaQ9h4gDqFQAEMCDa/IJPPr9PQAeh3QpTf/fRfj4+GDWP9YxPrH9rtOe2c7mvRN8PXwdWAyIiLrWXXn3BvHw4UQNx0jN7e+ueW9MjMzodPpjK/q6mprYg56Hu5uCPRVQ6MePJcR35Sbm+GJ1b7BUidxGt4e3ggdEjr47h9ERLJlUY9LQEAA3N3d+/Su1NfX9+lV6RUcHGx2faVSCX9/f7PbqFQqqFTyn0BJREREtmVRj4unpyfi4+NRWFhosrywsBBJSea75xMTE/usv2fPHiQkJJid30JErik7OxvR0dFQq9WIj49HUVHRTdfft28f4uPjoVarERMTg9dff91BSYnImVk8VJSRkYFNmzYhNzcX5eXlWLFiBaqqqoz3ZcnMzERaWppx/fT0dJw9exYZGRkoLy9Hbm4uNm/ejCeffNJ2e0FETi0/Px/Lly/HqlWrUFJSguTkZMyaNQtVVVVm16+srMQDDzyA5ORklJSU4Nlnn8XSpUvx/vvvm12fiAYRYYXXXntNREZGCk9PTzF58mSxb98+4/fmz58vpk+fbrL+3r17xaRJk4Snp6eIiooSOTk5Fn2eTqcTAIROp7MmLhHdols9BqdMmSLS09NNlo0dO1asXLnS7PpPP/20GDt2rMmyRx99VNx5550D/ky2G0TSs8dxaNV1skuWLMGSJUvMfm/r1q19lk2fPh1Hjx615qMAXJ/MO9gviyaSSu+xJ6x4QohUt1HQ6XQm2YnI8W6l7eiPLG7w0dJieJJyRESExEmIBreWlhZotZY9RkDq2yiw3SCSXmNjo8VtR39kUbiEhoaiuroavr6+N71ss7m5GREREaiurna5O2W66r656n4BrrVvQgi0tLQgNDTU6p/hiNsoZGRkGL9uampCZGQkqqqqbNZg2ptcf2fkmJuZHUOn02HEiBHw8/Oz2c+UReHi5uaG8PD+b0d+I41GI5t/VEu56r656n4BrrNv1v7nL/VtFLRarez+/uX6OyPH3MzsGG5uVt02zvzPstlPIiIyg7dRICJbYuFCRHbH2ygQka3IYqhooFQqFVavXu2Sd9111X1z1f0CXHvfLJWamorGxkasW7cOtbW1iIuLQ0FBASIjIwEAtbW1Jvd0iY6ORkFBAVasWIHXXnsNoaGh2LhxI372s58N+DPl+Pcvx8yAPHMzs2PYI7NC2PIaJSIiIiI74lARERERyQYLFyIiIpINFi5EREQkGyxciIiISDZcqnDJzs5GdHQ01Go14uPjUVRUJHUki2RlZeGOO+6Ar68vAgMDMXfuXHzzzTcm6wghsGbNGoSGhsLLywv33HMPTpw4IVFi62RlZUGhUGD58uXGZXLer3PnzuHXv/41/P394e3tjYkTJ6K4uNj4fTnvm7Oz9Jjft28f4uPjoVarERMTg9dff91BSa+zJPOOHTtw//33Y/jw4dBoNEhMTMRHH33kwLQG1ratBw8ehFKpxMSJE+0b0AxLM+v1eqxatQqRkZFQqVQYOXIkcnNzHZT2Oktz5+XlYcKECfD29kZISAgWLlyIxsZGh2Tdv38/5syZg9DQUCgUCnzwwQffu41NjkGbPa5RYu+++67w8PAQb731ligrKxPLli0TPj4+4uzZs1JHG7CZM2eKLVu2iK+++kqUlpaK2bNnixEjRojW1lbjOn/+85+Fr6+veP/998Xx48dFamqqCAkJEc3NzRImH7gvvvhCREVFifHjx4tly5YZl8t1vy5duiQiIyPFggULxOeffy4qKyvFxx9/LL799lvjOnLdN2dn6TFfUVEhvL29xbJly0RZWZl46623hIeHh9i+fbvTZl62bJl44YUXxBdffCFOnjwpMjMzhYeHhzh69KjTZu7V1NQkYmJiREpKipgwYYJjwl5jTeYHH3xQTJ06VRQWForKykrx+eefi4MHDzowteW5i4qKhJubm/jLX/4iKioqRFFRkbj99tvF3LlzHZK3oKBArFq1Srz//vsCgNi5c+dN17fVMegyhcuUKVNEenq6ybKxY8eKlStXSpTo1tXX1wsAYt++fUIIIXp6ekRwcLD485//bFzn6tWrQqvVitdff12qmAPW0tIiRo0aJQoLC8X06dONhYuc9+uZZ54Rd911V7/fl/O+OTtLj/mnn35ajB071mTZo48+Ku688067ZbyRLdqpcePGibVr19o6Wr+szZyamir+8Ic/iNWrVzu8cLE084cffii0Wq1obGx0RLx+WZr7pZdeEjExMSbLNm7cKMLDw+2WsT8DKVxsdQy6xFBRR0cHiouLkZKSYrI8JSUFhw4dkijVrdPpdABgfDhVZWUl6urqTPZTpVJh+vTpstjPxx57DLNnz8aMGTNMlst5v3bt2oWEhAT84he/QGBgICZNmoS33nrL+H0575szs+aYP3z4cJ/1Z86ciSNHjqCzs9NuWXvZop3q6elBS0uLTR9YdzPWZt6yZQtOnz6N1atX2ztiH9Zk7j2OX3zxRYSFhWH06NF48sknceXKFUdEBmBd7qSkJNTU1KCgoABCCFy4cAHbt2/H7NmzHRHZYrY6Bl2icGloaEB3d3efB7YFBQX1eVCbXAghkJGRgbvuugtxcXEAYNwXOe7nu+++i6NHjyIrK6vP9+S8XxUVFcjJycGoUaPw0UcfIT09HUuXLsXbb78NQN775sysOebr6urMrt/V1YWGhga7Ze1li3bq5ZdfRltbG+bNm2ePiH1Yk/nUqVNYuXIl8vLyoFQ6/ubs1mSuqKjAgQMH8NVXX2Hnzp3YsGEDtm/fjscee8wRkQFYlzspKQl5eXlITU2Fp6cngoODMXToULzyyiuOiGwxWx2DLlG49LrxcfdCiD7L5OLxxx/Hf/7zH2zbtq3P9+S2n9XV1Vi2bBn+9re/Qa1W97ue3PYLMJwBT548GX/6058wadIkPProo/jtb3+LnJwck/XkuG9yYOnfq7n1zS23J2t/F7Zt24Y1a9YgPz8fgYGB9opn1kAzd3d346GHHsLatWsxevRoR8Uzy5K/556eHigUCuTl5WHKlCl44IEHsH79emzdutWhvS6AZbnLysqwdOlSPPfccyguLsbu3btRWVlpfAaYM7LFMegShUtAQADc3d37VKX19fV9qjs5eOKJJ7Br1y58+umnCA8PNy4PDg4GANntZ3FxMerr6xEfHw+lUgmlUol9+/Zh48aNUCqVxuxy2y8ACAkJwbhx40yWxcbGGp+7I9d/M2dnzTEfHBxsdn2lUgl/f3+7Ze11K+1Ufn4+Fi1ahL///e99hlrtydLMLS0tOHLkCB5//HHjsb5u3TocO3YMSqUSn3zyidNlBgzHcVhYGLRarXFZbGwshBCoqamxa95e1uTOysrCtGnT8NRTT2H8+PGYOXMmsrOzkZubi9raWkfEtoitjkGXKFw8PT0RHx+PwsJCk+WFhYVISkqSKJXlhBB4/PHHsWPHDnzyySeIjo42+X50dDSCg4NN9rOjowP79u1z6v384Q9/iOPHj6O0tNT4SkhIwMMPP4zS0lLExMTIcr8AYNq0aX0uWT958qTx4YFy/TdzdtYc84mJiX3W37NnDxISEuDh4WG3rL2sbae2bduGBQsW4J133nH43AVLM2s0mj7Henp6OsaMGYPS0lJMnTrV6TIDhuP4/PnzaG1tNS47efIk3NzcTE4e7cma3O3t7XBzM/1v3N3dHcD1ngxnYrNj0KKpvE6s9zKyzZs3i7KyMrF8+XLh4+Mjzpw5I3W0Afuv//ovodVqxd69e0Vtba3x1d7eblznz3/+s9BqtWLHjh3i+PHj4le/+pUsL6397lVFQsh3v7744guhVCrFf//3f4tTp06JvLw84e3tLf72t78Z15Hrvjm77zvmV65cKR555BHj+r2XYq5YsUKUlZWJzZs3S3Y59EAzv/POO0KpVIrXXnvNpE1oampy2sw3kuKqIkszt7S0iPDwcPHzn/9cnDhxQuzbt0+MGjVKLF682Klzb9myRSiVSpGdnS1Onz4tDhw4IBISEsSUKVMckrelpUWUlJSIkpISAUCsX79elJSUGC/fttcx6DKFixBCvPbaayIyMlJ4enqKyZMnGy8jlgsAZl9btmwxrtPT0yNWr14tgoODhUqlEnfffbc4fvy4dKGtdGPhIuf9+uc//yni4uKESqUSY8eOFW+++abJ9+W8b87uZsf8/PnzxfTp003W37t3r5g0aZLw9PQUUVFRIicnx8GJLcs8ffp0s23C/PnznTbzjaQoXISwPHN5ebmYMWOG8PLyEuHh4SIjI8PkpNFRLM29ceNGMW7cOOHl5SVCQkLEww8/LGpqahyS9dNPP73p76e9jkGFEE7Yn0RERERkhkvMcSEiIqLBgYULERERyQYLFyIiIpINFi5EREQkGyxciIiISDZYuBAREZFssHAhIiIi2WDhQkRERLJhceGyf/9+zJkzB6GhoVAoFPjggw++d5t9+/YhPj4earUaMTExeP31163JSkQyxXaDiGzF4sKlra0NEyZMwKuvvjqg9SsrK/HAAw8gOTkZJSUlePbZZ7F06VK8//77FoclInliu0FEtnJLt/xXKBTYuXMn5s6d2+86zzzzDHbt2oXy8nLjsvT0dBw7dgyHDx82u41er4derzd+3dPTg0uXLsHf3x8KhcLauERkJSEEWlpaEBoa2udptJZiu0E0eNiy7eiltMlPuYnDhw8jJSXFZNnMmTOxefNmdHZ2mn2UdVZWFtauXWvvaERkoerqaoSHh9v9c9huELkWW7Yddi9c6urqEBQUZLIsKCgIXV1daGhoQEhISJ9tMjMzkZGRYfxap9NhxIgRqK6uhkajsXdkIrpBc3MzIiIi4Ovr65DPY7tB5Brs0XbYvXAB0Kebtnd0qr/uW5VKBZVK1We5RqNhA0QkIUcOubDdIHIdtmw77H45dHBwMOrq6kyW1dfXQ6lUwt/f394fT0QyxHaDiPpj98IlMTERhYWFJsv27NmDhIQEs+PURERsN4ioPxYXLq2trSgtLUVpaSkAw2WLpaWlqKqqAmAYZ05LSzOun56ejrNnzyIjIwPl5eXIzc3F5s2b8eSTT9pmD4jI6bHdICKbERb69NNPBYA+r/nz5wshhJg/f76YPn26yTZ79+4VkyZNEp6eniIqKkrk5ORY9Jk6nU4AEDqdztK4RGQDt3oMst0gGpzscRze0n1cHKW5uRlarRY6nY6T7IgkIMdjUI6ZiVyNPY5DPquIiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbLBwISIiItlg4UJERESywcKFiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbLBwISIiItlg4UJERESywcKFiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbFhVuGRnZyM6OhpqtRrx8fEoKiq66fp5eXmYMGECvL29ERISgoULF6KxsdGqwEQkT2w3iMgWLC5c8vPzsXz5cqxatQolJSVITk7GrFmzUFVVZXb9AwcOIC0tDYsWLcKJEyfw3nvv4csvv8TixYtvOTwRyQPbDSKyGWGhKVOmiPT0dJNlY8eOFStXrjS7/ksvvSRiYmJMlm3cuFGEh4cP+DN1Op0AIHQ6naVxicgGbvUYZLtBNDjZ4zi0qMelo6MDxcXFSElJMVmekpKCQ4cOmd0mKSkJNTU1KCgogBACFy5cwPbt2zF79ux+P0ev16O5udnkRUTyxHaDiGzJosKloaEB3d3dCAoKMlkeFBSEuro6s9skJSUhLy8Pqamp8PT0RHBwMIYOHYpXXnml38/JysqCVqs1viIiIiyJSUROhO0GEdmSVZNzFQqFyddCiD7LepWVlWHp0qV47rnnUFxcjN27d6OyshLp6en9/vzMzEzodDrjq7q62pqYRORE2G4QkS0oLVk5ICAA7u7ufc6S6uvr+5xN9crKysK0adPw1FNPAQDGjx8PHx8fJCcn4/nnn0dISEifbVQqFVQqlSXRiMhJsd0gIluyqMfF09MT8fHxKCwsNFleWFiIpKQks9u0t7fDzc30Y9zd3QEYzriIyLWx3SAiW7J4qCgjIwObNm1Cbm4uysvLsWLFClRVVRm7cDMzM5GWlmZcf86cOdixYwdycnJQUVGBgwcPYunSpZgyZQpCQ0NttydE5LTYbhCRrVg0VAQAqampaGxsxLp161BbW4u4uDgUFBQgMjISAFBbW2tyb4YFCxagpaUFr776Kn7/+99j6NChuO+++/DCCy/Ybi+IyKmx3SAiW1EIGfS7Njc3Q6vVQqfTQaPRSB2HaNCR4zEox8xErsYexyGfVURERESywcKFiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbLBwISIiItlg4UJERESywcKFiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbLBwISIiItlg4UJERESywcKFiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbFhVuGRnZyM6OhpqtRrx8fEoKiq66fp6vR6rVq1CZGQkVCoVRo4cidzcXKsCE5E8sd0gIltQWrpBfn4+li9fjuzsbEybNg1vvPEGZs2ahbKyMowYMcLsNvPmzcOFCxewefNm3Hbbbaivr0dXV9cthycieWC7QUS2ohBCCEs2mDp1KiZPnoycnBzjstjYWMydOxdZWVl91t+9ezd++ctfoqKiAn5+fgP6DL1eD71eb/y6ubkZERER0Ol00Gg0lsQlIhtobm6GVqu1+hhku0E0ON1q22GORUNFHR0dKC4uRkpKisnylJQUHDp0yOw2u3btQkJCAl588UWEhYVh9OjRePLJJ3HlypV+PycrKwtardb4ioiIsCQmETkRthtEZEsWDRU1NDSgu7sbQUFBJsuDgoJQV1dndpuKigocOHAAarUaO3fuRENDA5YsWYJLly71O16dmZmJjIwM49e9Z05EJD9sN4jIliye4wIACoXC5GshRJ9lvXp6eqBQKJCXlwetVgsAWL9+PX7+85/jtddeg5eXV59tVCoVVCqVNdGIyEmx3SAiW7BoqCggIADu7u59zpLq6+v7nE31CgkJQVhYmLHxAQxj20II1NTUWBGZiOSE7QYR2ZJFhYunpyfi4+NRWFhosrywsBBJSUlmt5k2bRrOnz+P1tZW47KTJ0/Czc0N4eHhVkQmIjlhu0FEtmTxfVwyMjKwadMm5Obmory8HCtWrEBVVRXS09MBGMaZ09LSjOs/9NBD8Pf3x8KFC1FWVob9+/fjqaeewm9+8xuz3b1E5HrYbhCRrVg8xyU1NRWNjY1Yt24damtrERcXh4KCAkRGRgIAamtrUVVVZVx/yJAhKCwsxBNPPIGEhAT4+/tj3rx5eP755223F0Tk1NhuEJGtWHwfFynY4zpwIho4OR6DcsxM5Gokv48LERERkZRYuBAREZFssHAhIiIi2WDhQkRERLLBwoWIiIhkg4ULERERyQYLFyIiIpINFi5EREQkGyxciIiISDZYuBAREZFssHAhIiIi2WDhQkRERLLBwoWIiIhkg4ULERERyQYLFyIiIpINFi5EREQkGyxciIiISDZYuBAREZFssHAhIiIi2WDhQkRERLLBwoWIiIhkg4ULERERyYZVhUt2djaio6OhVqsRHx+PoqKiAW138OBBKJVKTJw40ZqPJSIZY7tBRLZgceGSn5+P5cuXY9WqVSgpKUFycjJmzZqFqqqqm26n0+mQlpaGH/7wh1aHJSJ5YrtBRLaiEEIISzaYOnUqJk+ejJycHOOy2NhYzJ07F1lZWf1u98tf/hKjRo2Cu7s7PvjgA5SWlg74M5ubm6HVaqHT6aDRaCyJS0Q2cKvHINsNosHJHsehRT0uHR0dKC4uRkpKisnylJQUHDp0qN/ttmzZgtOnT2P16tUD+hy9Xo/m5maTFxHJE9sNIrIliwqXhoYGdHd3IygoyGR5UFAQ6urqzG5z6tQprFy5Enl5eVAqlQP6nKysLGi1WuMrIiLCkphE5ETYbhCRLVk1OVehUJh8LYToswwAuru78dBDD2Ht2rUYPXr0gH9+ZmYmdDqd8VVdXW1NTCJyImw3iMgWBnYqc01AQADc3d37nCXV19f3OZsCgJaWFhw5cgQlJSV4/PHHAQA9PT0QQkCpVGLPnj247777+mynUqmgUqksiUZETortBhHZkkU9Lp6enoiPj0dhYaHJ8sLCQiQlJfVZX6PR4Pjx4ygtLTW+0tPTMWbMGJSWlmLq1Km3lp6InB7bDSKyJYt6XAAgIyMDjzzyCBISEpCYmIg333wTVVVVSE9PB2Dorj137hzefvttuLm5IS4uzmT7wMBAqNXqPsuJyHWx3SAiW7G4cElNTUVjYyPWrVuH2tpaxMXFoaCgAJGRkQCA2tra7703AxENLmw3iMhWLL6PixR4PwYiacnxGJRjZiJXI/l9XIiIiIikxMKFiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbLBwISIiItlg4UJERESywcKFiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbLBwISIiItlg4UJERESywcKFiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbFhVuGRnZyM6OhpqtRrx8fEoKirqd90dO3bg/vvvx/Dhw6HRaJCYmIiPPvrI6sBEJE9sN4jIFiwuXPLz87F8+XKsWrUKJSUlSE5OxqxZs1BVVWV2/f379+P+++9HQUEBiouLce+992LOnDkoKSm55fBEJA9sN4jIVhRCCGHJBlOnTsXkyZORk5NjXBYbG4u5c+ciKytrQD/j9ttvR2pqKp577rkBrd/c3AytVgudTgeNRmNJXCKygVs9BtluEA1O9jgOLepx6ejoQHFxMVJSUkyWp6Sk4NChQwP6GT09PWhpaYGfn1+/6+j1ejQ3N5u8iEie2G4QkS1ZVLg0NDSgu7sbQUFBJsuDgoJQV1c3oJ/x8ssvo62tDfPmzet3naysLGi1WuMrIiLCkphE5ETYbhCRLVk1OVehUJh8LYTos8ycbdu2Yc2aNcjPz0dgYGC/62VmZkKn0xlf1dXV1sQkIifCdoOIbEFpycoBAQFwd3fvc5ZUX1/f52zqRvn5+Vi0aBHee+89zJgx46brqlQqqFQqS6IRkZNiu0FEtmRRj4unpyfi4+NRWFhosrywsBBJSUn9brdt2zYsWLAA77zzDmbPnm1dUiKSJbYbRGRLFvW4AEBGRgYeeeQRJCQkIDExEW+++SaqqqqQnp4OwNBde+7cObz99tsADI1PWloa/vKXv+DOO+80nnV5eXlBq9XacFeIyFmx3SAiW7G4cElNTUVjYyPWrVuH2tpaxMXFoaCgAJGRkQCA2tpak3szvPHGG+jq6sJjjz2Gxx57zLh8/vz52Lp1663vARE5PbYbRGQrFt/HRQq8HwORtOR4DMoxM5Grkfw+LkRERERSYuFCREREssHChYiIiGSDhQsRERHJBgsXIiIikg0WLkRERCQbLFyIiIhINli4EBERkWywcCEiIiLZYOFCREREssHChYiIiGSDhQsRERHJBgsXIiIikg0WLkRERCQbLFyIiIhINli4EBERkWywcCEiIiLZYOFCREREssHChYiIiGSDhQsRERHJBgsXIiIikg0WLkRERCQbLFyIiIhINqwqXLKzsxEdHQ21Wo34+HgUFRXddP19+/YhPj4earUaMTExeP31160KS0TyxXaDiGzB4sIlPz8fy5cvx6pVq1BSUoLk5GTMmjULVVVVZtevrKzEAw88gOTkZJSUlODZZ5/F0qVL8f77799yeCKSB7YbRGQrCiGEsGSDqVOnYvLkycjJyTEui42Nxdy5c5GVldVn/WeeeQa7du1CeXm5cVl6ejqOHTuGw4cPm/0MvV4PvV5v/Fqn02HEiBGorq6GRqOxJC4R2UBzczMiIiLQ1NQErVZr8fZsN4gGp1ttO8wSFtDr9cLd3V3s2LHDZPnSpUvF3XffbXab5ORksXTpUpNlO3bsEEqlUnR0dJjdZvXq1QIAX3zx5WSv06dPW9JksN3giy++BGBd29EfJSzQ0NCA7u5uBAUFmSwPCgpCXV2d2W3q6urMrt/V1YWGhgaEhIT02SYzMxMZGRnGr5uamhAZGYmqqirbVWx21ltlyulsj5kdQ46Ze3sv/Pz8LN6W7cbAyfF3A5BnbmZ2jFtpO/pjUeHSS6FQmHwthOiz7PvWN7e8l0qlgkql6rNcq9XK5h+rl0ajYWYHYGbHcHOz/kJEthsDJ8ffDUCeuZnZMW6l7ejzsyxZOSAgAO7u7n3Okurr6/ucHfUKDg42u75SqYS/v7+FcYlIbthuEJEtWVS4eHp6Ij4+HoWFhSbLCwsLkZSUZHabxMTEPuvv2bMHCQkJ8PDwsDAuEckN2w0isilLJ8W8++67wsPDQ2zevFmUlZWJ5cuXCx8fH3HmzBkhhBArV64UjzzyiHH9iooK4e3tLVasWCHKysrE5s2bhYeHh9i+ffuAP/Pq1ati9erV4urVq5bGlQwzOwYzO8atZma7MTByzCyEPHMzs2PYI7PFhYsQQrz22msiMjJSeHp6ismTJ4t9+/YZvzd//nwxffp0k/X37t0rJk2aJDw9PUVUVJTIycm5pdBEJD9sN4jIFiy+jwsRERGRVPisIiIiIpINFi5EREQkGyxciIiISDZYuBAREZFsOE3hIsdH3luSeceOHbj//vsxfPhwaDQaJCYm4qOPPnJgWgNL/557HTx4EEqlEhMnTrRvQDMszazX67Fq1SpERkZCpVJh5MiRyM3NdVBaA0sz5+XlYcKECfD29kZISAgWLlyIxsZGB6UF9u/fjzlz5iA0NBQKhQIffPDB924jt2MQkF9mthvWk2O7Acir7ZCs3ZD6siYhrt/j4a233hJlZWVi2bJlwsfHR5w9e9bs+r33eFi2bJkoKysTb731lsX3eHB05mXLlokXXnhBfPHFF+LkyZMiMzNTeHh4iKNHjzpt5l5NTU0iJiZGpKSkiAkTJjgm7DXWZH7wwQfF1KlTRWFhoaisrBSff/65OHjwoNNmLioqEm5ubuIvf/mLqKioEEVFReL2228Xc+fOdVjmgoICsWrVKvH+++8LAGLnzp03XV+Ox6AcM7PdsI4c2w0h5Nd2SNVuOEXhMmXKFJGenm6ybOzYsWLlypVm13/66afF2LFjTZY9+uij4s4777RbxhtZmtmccePGibVr19o6Wr+szZyamir+8Ic/iNWrVzu8AbI084cffii0Wq1obGx0RDyzLM380ksviZiYGJNlGzduFOHh4XbLeDMDaYDkeAzKMbM5bDe+nxzbDSHk3XY4st2QfKioo6MDxcXFSElJMVmekpKCQ4cOmd3m8OHDfdafOXMmjhw5gs7OTrtl7WVN5hv19PSgpaXFpk/MvBlrM2/ZsgWnT5/G6tWr7R2xD2sy79q1CwkJCXjxxRcRFhaG0aNH48knn8SVK1ccEdmqzElJSaipqUFBQQGEELhw4QK2b9+O2bNnOyKyVeR4DMox843Ybnw/ObYbwOBoO2x1DFr1dGhbctQj723Jmsw3evnll9HW1oZ58+bZI2If1mQ+deoUVq5ciaKiIiiVjv9VsSZzRUUFDhw4ALVajZ07d6KhoQFLlizBpUuXHDJebU3mpKQk5OXlITU1FVevXkVXVxcefPBBvPLKK3bPay05HoNyzHwjthvfT47tBjA42g5bHYOS97j0svcj7+3B0sy9tm3bhjVr1iA/Px+BgYH2imfWQDN3d3fjoYcewtq1azF69GhHxTPLkr/nnp4eKBQK5OXlYcqUKXjggQewfv16bN261aFnT5ZkLisrw9KlS/Hcc8+huLgYu3fvRmVlJdLT0x0R1WpyPAblmLkX2w3LyLHdAFy/7bDFMSh5j4scH3lvTeZe+fn5WLRoEd577z3MmDHDnjFNWJq5paUFR44cQUlJCR5//HEAhoNbCAGlUok9e/bgvvvuc6rMABASEoKwsDBotVrjstjYWAghUFNTg1GjRjld5qysLEybNg1PPfUUAGD8+PHw8fFBcnIynn/+ebv3BFhDjsegHDP3Yrthv8yA9O0GMDjaDlsdg5L3uMjxkffWZAYMZ0wLFizAO++84/AxSEszazQaHD9+HKWlpcZXeno6xowZg9LSUkydOtXpMgPAtGnTcP78ebS2thqXnTx5Em5ubggPD7drXsC6zO3t7XBzMz0U3d3dAVw/G3E2cjwG5ZgZYLth78yA9O0GMDjaDpsdgxZN5bUTKR557+jM77zzjlAqleK1114TtbW1xldTU5PTZr6RFFcHWJq5paVFhIeHi5///OfixIkTYt++fWLUqFFi8eLFTpt5y5YtQqlUiuzsbHH69Glx4MABkZCQIKZMmeKwzC0tLaKkpESUlJQIAGL9+vWipKTEeBmmKxyDcszMdsM6cmw3rMktddshVbvhFIWLEPJ85L0lmadPny4A9HnNnz/faTPfSIoGSAjLM5eXl4sZM2YILy8vER4eLjIyMkR7e7tTZ964caMYN26c8PLyEiEhIeLhhx8WNTU1Dsv76aef3vT30xWOQSHkl5nthvXk2G4IIa+2Q6p2QyGEE/YnEREREZkh+RwXIiIiooFi4UJERESywcKFiIiIZIOFCxEREckGCxciIiKSDRYuREREJBssXIiIiEg2WLgQERGRbLBwISIiItlg4UJERESywcKFiIiIZOP/B8aIhCMWTxHvAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# The logic: each time the neuron fires, a spike appears this is followed by an explonential decay\n", - "# try to plot a series of exponentials\n", - "\n", - "fig, ax = plt.subplots(2,2)\n", - "\n", - "z = np.arange(100)\n", - "z1 = np.linspace(0,25)\n", - "z2 = np.linspace(25,50)\n", - "z3 = np.linspace(50,75)\n", - "tau_prime = 5\n", - "ax[0,0].plot(z1,np.exp(-z1/tau_prime))\n", - "ax[0,0].plot(z2,np.exp(-(z1)/tau_prime))\n", - "ax[0,0].plot(z3,np.exp(-(z1)/tau_prime))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Ok, so the above simple simulation of the chain of transients didn't work too well. Let's try a different approach\n" - ] - }, { "cell_type": "markdown", "metadata": {},