{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Building Gene Regulatory Networks with BioCRNpyler\n", "\n", "In this notebook, we will use RegulatedPromoter and CombinatorialPromoter to model Gene Regulation via Transcription Factors.\n", "\n", "_Note: For this notebook to function, you need the default_parameter.txt file in the same folder as the notebook._" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Modeling Gene Regulation by a Single Transcription Factor\n", "In biology, it is very common for a transcription factor to turn on or off promoter. BioCRNpyler has a number of Promoter Components to do this.\n", "* RegulatedPromoter: A list of regulators each bind individually to turn a Promoter ON or OFF (No Combinatorial Logic)\n", "* RepressiblePromoter: A single repressor modelled with a hill function\n", "* ActivatablePromoter: A single activator modeled with a hill function\n", "\n", "In the next example, we will produce and compare the outputs of these kinds of promoters." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 1: ActivatablePromoter\n", "A very simple Promoter Component modelled with a hill function. However, this class is not able to accurately capture the binding of Machinery like RNAP and shouldn't be used with Mixtures that include machinery." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 4) = {\n", "small_molecule[activator] (@ 0), rna[activatable_assembly] (@ 0), dna[activatable_assembly] (@ 0), A (@ 0), \n", "}\n", "\n", "Reactions (4) = [\n", "0. dna[activatable_assembly] --> dna[activatable_assembly]+rna[activatable_assembly]\n", " Kf = k dna[activatable_assembly] small_molecule[activator]^n / ( K^n + small_molecule[activator]^n )\n", " k=1.0\n", " found_key=(mech=None, partid=None, name=k).\n", " search_key=(mech=positivehill_transcription, partid=P_activtable_activator, name=k).\n", " K=20\n", " found_key=(mech=None, partid=None, name=K).\n", " search_key=(mech=positivehill_transcription, partid=P_activtable_activator, name=K).\n", " n=4\n", " found_key=(mech=None, partid=None, name=n).\n", " search_key=(mech=positivehill_transcription, partid=P_activtable_activator, name=n).\n", "\n", "1. dna[activatable_assembly] --> dna[activatable_assembly]+rna[activatable_assembly]\n", " Kf=k_forward * dna_activatable_assembly\n", " k_forward=0.01\n", " found_key=(mech=None, partid=None, name=kleak).\n", " search_key=(mech=positivehill_transcription, partid=P_activtable_activator, name=kleak).\n", "\n", "2. rna[activatable_assembly] --> rna[activatable_assembly]+A\n", " Kf=k_forward * rna_activatable_assembly\n", " k_forward=0.25\n", " found_key=(mech=simple_translation, partid=None, name=ktl).\n", " search_key=(mech=simple_translation, partid=Strong, name=ktl).\n", "\n", "3. rna[activatable_assembly] --> \n", " Kf=k_forward * rna_activatable_assembly\n", " k_forward=0.001\n", " found_key=(mech=rna_degredation, partid=None, name=kdil).\n", " search_key=(mech=rna_degredation, partid=rna_activatable_assembly, name=kdil).\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ayush\\Box\\Research\\bioCRNpyler\\biocrnpyler\\core\\parameter.py:507: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(f\"parameter file contains no {accepted_name} column! Please add a \"\n" ] } ], "source": [ "from biocrnpyler.core import Species\n", "from biocrnpyler.components import DNAassembly, ActivatablePromoter\n", "from biocrnpyler.mixtures import SimpleTxTlExtract\n", "\n", "#ActivatedPromoter Example\n", "activator = Species(\"activator\", material_type = \"small_molecule\")\n", "S_A = Species(\"A\")\n", "\n", "#Create a custom set of parameters\n", "hill_parameters = {\"k\":1.0, \"n\":4, \"K\":20, \"kleak\":.01}\n", "#By Loading custom parameters into the promoter, we override the default parameters of the Mixture\n", "P_activatable = ActivatablePromoter(\"P_activtable\", activator = activator, leak = True, parameters = hill_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_activatable for its promoter\n", "activatable_assembly = DNAassembly(name=\"activatable_assembly\", promoter=P_activatable, rbs=\"Strong\", protein = S_A)\n", "\n", "M = SimpleTxTlExtract(name=\"SimpleTxTl\", parameter_file = \"default_parameters.txt\", components=[activatable_assembly])\n", "\n", "CRN = M.compile_crn();\n", "\n", "print(CRN.pretty_print(show_rates = True, show_keys = True))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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E3s3ynu1Tfv6ZmJmz0P595bM+lM+ZTUIIIYSokDQaLcHrL5KXk79xa8P2HvdsnxMZlR+GUlMx9vLC/q1BZVPof0gPUSXm5+eHSqVCpVLddxPTxxEQEEDjxo1L7fgloXr16rrPIikpSd/lCCFEhfX7ruvE3UjFxNyQDgPvvXGrkpdH9Lvvok1NxaxRI+z69yu2bWmTQFTJDRkyhJiYGBo0aFAix1OpVHz77bcFHps0aRL79u0rkePf5efnh7+/f4kdLzQ0lB07djzWMQ4dOsSLL76Im5tbkZ9Dbm4ukydPxsfHBwsLC9zc3HjzzTeJjo6+53E3btyoC2v/vmVlZT1WvUIIUdJi/0rm5M83AGjXtw6WVe69bVD8ylVknj6N2tISt8UfozIyKosyiySBqJIzNzfHxcUFQ8PSGz21tLTE3t6+1I7/OHJycgBwdHQssHP9o0hPT6dRo0asWLGiyOczMjI4deoUM2bM4NSpU3zzzTdcu3aNl1566b7Htra2JiYmpsBN9icTQpQnOVl5BK+/iKJVqN3CmdrNne/ZPuP334lfvRoAl4AAjD3uPbRW2iQQlQZFgZx0/dweY69ejUbD4MGD8fLywszMjDp16rBs2bJC7davX4+3tzcmJia4uroyevRoIH/YCeDll19GpVLp7v97yGzPnj2YmpoWGpYaO3Ys7dq1AyAhIYE33ngDDw8PzM3N8fHx4euvv9a1HTRoEAcPHmTZsmW63pLr168DcPDgQVq2bKmrbcqUKeTl5ele6+fnx+jRo5kwYQIODg506tTpkT+v/+ratStz586lV69eRT5vY2NDcHAwvXv3pk6dOrRu3ZpPPvmEkydPcvPmzXseW6VS4eLiUuAmhBDlyZGgMFLis7C0M6HdG0/ds60mOZmod98DrRabnj2x6f5CGVVZPJlUXRpyM2C+m37OPS0ajC0e6aVarRYPDw+CgoJwcHAgJCSEoUOH4urqSu/evQFYtWoVEyZMYOHChXTt2pXk5GSOHj0K5A87OTk5sWHDBp5//nkMDAwKnaNjx47Y2tqyY8cOBg8eDOQHsaCgIObMmQPk79LerFkzJk+ejLW1NT/99BMDBgygRo0atGrVimXLlnHt2jUaNGige42joyNRUVF069aNQYMG8cUXX3DlyhWGDBmCqakpAQEBuho2bdrEiBEjOHr0KMo9AuThw4fvu+HrtGnTmDZt2oN/yP+RnJyMSqXC1tb2nu3S0tKoVq0aGo2Gxo0b88EHH9CkSZNHPq8QQpSkP0/HcTkkBv5ejdrEvPihL0VRiJk5i7yYGIyqVcV5+vQyrLR4EoiEjpGREbNnz9bd9/LyIiQkhKCgIF0gmjt3LhMnTmTcuHG6di1atADyQwmAra1tsT0YBgYG9OnTh6+++koXiPbt20diYiKvvfYakL/H2qRJk3SvGTNmDLt372b79u20atUKGxsbjI2NdcN9d61cuRJPT09WrFiBSqWibt26REdHM3nyZGbOnIland8hWqtWLRYtWnTfz6N58+b3nWz+OMNsWVlZTJkyhb59+95zQ9m6deuyceNGfHx8SElJYdmyZbRt25azZ89Su3b53BNICFF5pCX+sxp1087VcH+qyj3bJ23fTuqePWBkhPvHizGwfLQ/4kuaBKLSYGSe31Ojr3M/htWrV7N27Vpu3LhBZmYmOTk5uuGuuLg4oqOj6dChw2Odo1+/fvj6+hIdHY2bmxtbtmyhW7duVKmS/49Io9GwcOFCtm3bRlRUFNnZ2WRnZ2Nhce9/NJcvX8bX1xeV6p8rGtq2bUtaWhqRkZFUrVoVyA86D8LMzIxatWo94ru8t9zcXF5//XW0Wi0rV668Z9vWrVvTunVr3f22bdvStGlTPvnkE5YvX14q9QkhxINQtAr7Nl0iOz0Px6pWtHzx3qtRZ//xB7fmLwDAyX8cZj4lc0FPSZA5RKVBpcofttLHTVX85Y33ExQUxPjx43n77bfZu3cvZ86c4a233tJNPDYzMyuRj6dly5bUrFmTrVu3kpmZyc6dO+nfv7/u+cWLF7N06VLee+89fv31V86cOUOXLl10dRRHUZQCYejuY0CBx+8XrO46fPgwlpaW97zNnz//Qd+2Tm5uLr179yY8PJzg4OB79g4VRa1W06JFC8LCwh763EIIUZLO7Y8k8koihkZ/r0ZtWHys0GZlETVhIkpWFhZt22L31ltlWOn9SQ+R0Dl8+DBt2rRh5MiRusf+/PNP3X9bWVlRvXp19u3bR/v27Ys8hpGRERqN5r7n6tu3L1u2bMHDwwO1Ws0LL/wzoe7w4cP06NFDF5K0Wi1hYWHUq1dP18bY2LjQeerXr8+OHTsKBKOQkBCsrKxwd3d/gE+goNIYMrsbhsLCwti/f/8jXX2nKApnzpzBx8fnoV8rhBAlJT4yjZCdfwDQ9tVaVHG59x+bcYsWkX3tGgb29rgtXIBKXb76ZCQQCZ1atWrxxRdfsGfPHry8vNi8eTOhoaF4ef3TBRoQEMDw4cNxcnKia9eupKamcvToUcaMGQOgC0xt27bFxMRENwz2X/369WP27NnMmzePV199tcAl5LVq1WLHjh2EhIRQpUoVlixZQmxsbIFAVL16dY4fP87169extLTEzs6OkSNHEhgYyJgxYxg9ejRXr15l1qxZTJgwQTd/6GE87JBZWloaf/zxh+5+eHg4Z86cwc7OjqpVq5KXl8err77KqVOn+PHHH9FoNMTGxgL5wcrY2BiAN998E3d3dxYsyO9Wnj17Nq1bt6Z27dqkpKSwfPlyzpw5w6effvrQ70kIIUpCXo6G4PUX0eYpVPexx/vZe//RmRIcTOJX+VcLuy1ciOHfc07Lk/IVz4ReDR8+nF69etGnTx9atWpFQkJCgd4igIEDBxIYGMjKlSvx9vame/fuBYZuFi9eTHBwMJ6enve8Cqp27dq0aNGCc+fO0a9fwZVJZ8yYQdOmTenSpQt+fn64uLjQs2fPAm0mTZqEgYEB9evXx9HRkZs3b+Lu7s6uXbs4ceIEjRo1Yvjw4QwePJjpZXQFw++//06TJk1073vChAk0adKEmTNnAhAZGcn3339PZGQkjRs3xtXVVXcLCQnRHefmzZvExMTo7iclJTF06FDq1atH586diYqK4tChQ7Rs2bJM3pcQQvxXyDd/cic6HTNrY9oPqFdousK/5UZHEzN9BgB2b7+N5TNPl1WZD0Wl3Ou6Y6GTkpKCjY0NycnJheZ8ZGVlER4ejpeXV4VaLM/Pz4/GjRsTGBio71LKhQMHDtC+fXsSExPvexl8RVBRfy6FEOXb9fPx/PTpOQC6j2lENe/ih/6VvDxuDBpE5u8nMW3QgOpfbUH1d294WbnX9/e/SQ9RJbdy5UosLS05f/68vkvRK29v7/uuOSSEEJVdRkoOv35xGYCGz3ncMwwBxK9cSebvJ1Gbm+O++OMyD0MPQ+YQVWJbtmwhMzMTQHdJemW1a9cucnNzAR76qi8hhKgMFEVh36bLZKbmYu9uie/LNe/ZPv2348Sv+ntrjtmzMa5WrSzKfGQSiCqxR7ny6klVrZz/QxVCCH07fyCSmxcTMDBS02lwfQyNCu9GcFfenTtEv/suKAo2r/TC5sXuZVjpo5EhMyGEEELcU3xkGiE78pdhadOrFvZulsW2VbRaoqdMIe/2bYxr1sTl/ffLqszHIoFICCGEEMXKzdGwd91FNHlaqvvY4+N379GFOxs3kX7oMCoTE9yXLEFt/ng7KJQVCURCCCGEKFbI//4gMSYdc2tjnnvz3pfYZ547R9ySJQA4T52KaZ1773pfnkggEkIIIUSR/jpzmwuHooD8XezNrIq/SkyTkkLU+AmQl4dVly7Y9uldVmWWCAlEQgghhCgkLTGbXzfnX2LfuFNVPOsXv1WRoijETJ9BblQURh4euH4w5549SeWRBCIhhBBCFKDVKvyy8Z9d7Fv3qHHP9olff03q3r1gZIT70iUYVMDlSyQQVWJ+fn6oVCpUKtV9NzF9HAEBATRu3LjUjl8SqlevrvsskpKS9F2OEELo1em9N4i6moihsZrOg73vuYt91qVLxC1YCIDzpImYVdCNpyUQVXJDhgwhJiaGBg0alMjxVCoV3377bYHHJk2axL59+0rk+Hf5+fnh7+9fYscLDQ1lx44dj3WMBQsW0KJFC6ysrHBycqJnz55cvXq1QJtBgwbpgtfdW+vWre977B07dlC/fn1MTEyoX78+O3fufKxahRCiOLF/JXP8+3AAnn39KWydi79KTJOWTuT48Si5uVg+9xxV3nyzrMoscRKIKjlzc3NcXFwwNCy9NTotLS2xt7/38u76kpOTA4CjoyN2dsWPjz+IgwcPMmrUKH777TeCg4PJy8ujc+fOpKenF2j3/PPPExMTo7vt2rXrnsc9duwYffr0YcCAAZw9e5YBAwbQu3dvjh8//lj1CiHEf2Vn5LJ33UUUrULt5k7U9XUttq2iKMQGBJB74yaGrq64zZ9X4eYN/ZsEolKgKAoZuRl6uT3OXr0ajYbBgwfj5eWFmZkZderUYdmyZYXarV+/Hm9vb0xMTHB1dWX06NFA/rATwMsvv4xKpdLd//eQ2Z49ezA1NS00LDV27FjatWsHQEJCAm+88QYeHh6Ym5vj4+PD119/rWs7aNAgDh48yLJly3S9LNevXwfyQ0nLli11tU2ZMoW8vDzda/38/Bg9ejQTJkzAwcGBTp06PfLn9V+7d+9m0KBBeHt706hRIzZs2MDNmzc5efJkgXYmJia4uLjobvcLYoGBgXTq1ImpU6dSt25dpk6dSocOHWRTXiFEiVIUhQNfXSU1IQtrB1Pa9at7z4CTtH07KT/+CAYGuC9ejEEF3xRbtu4oBZl5mbT6qpVezn2873HMjR5tESytVouHhwdBQUE4ODgQEhLC0KFDcXV1pXfv/MsnV61axYQJE1i4cCFdu3YlOTmZo0ePAvnDTk5OTmzYsIHnn38eA4PCy7p37NgRW1tbduzYweDBg4H8IBYUFMScOXOA/F3amzVrxuTJk7G2tuann35iwIAB1KhRg1atWrFs2TKuXbtGgwYNdK9xdHQkKiqKbt26MWjQIL744guuXLnCkCFDMDU1JSAgQFfDpk2bGDFiBEePHr1ngDx8+PB9N3ydNm0a06ZNK/K55ORkgEKB58CBAzg5OWFra0u7du2YN28eTk5OxZ7j2LFjjB8/vsBjXbp0kUAkhChRl0Ni+OP3ONRqFZ0Ge2NiVnxEyLpyhVtz5wHgNGE85k2blFWZpUYCkdAxMjJi9uzZuvteXl6EhIQQFBSkC0Rz585l4sSJjBs3TteuRYsWQH4oAbC1tcXFxaXIcxgYGNCnTx+++uorXSDat28fiYmJvPbaa0D+HmuTJk3SvWbMmDHs3r2b7du306pVK2xsbDA2NtYN9921cuVKPD09WbFiBSqVirp16xIdHc3kyZOZOXMmanV+h2itWrVYtGjRfT+P5s2b33eyeXG9O4qiMGHCBJ5++ukC87O6du3Ka6+9RrVq1QgPD2fGjBk899xznDx5EhMTkyKPFRsbi7Ozc4HHnJ2diY2Nve97EEKIB3EnJp3D264B0PIlL1y8bIptq0lLJ8p/PEpODpbt2mH31ltlVWapkkBUCswMzTjeVz/zO8wMzR7r9atXr2bt2rXcuHGDzMxMcnJydMNdcXFxREdH06FDh8c6R79+/fD19SU6Oho3Nze2bNlCt27dqFKlCpDfY7Rw4UK2bdtGVFQU2dnZZGdnY2Fhcc/jXr58GV9f3wJdvG3btiUtLY3IyEiqVq0K5AedB2FmZkatWrUe6T2OHj2ac+fOceTIkQKP9+nTR/ffDRo0oHnz5lSrVo2ffvqJXr16FXu8/3ZbK4pSocfqhRDlR16uhr1rL5KXo8WjbhWadi5+s2tFUYidNYuc69cxdHHBdeECVOonY/aNBKJSoFKpHnnYSp+CgoIYP348ixcvxtfXFysrKz766CPd5F0zs8cLW3e1bNmSmjVrsnXrVkaMGMHOnTvZsGGD7vnFixezdOlSAgMD8fHxwcLCAn9/f90E6OIUFRLuDon9+/H7Bau7HnXIbMyYMXz//fccOnQIDw+Pe77e1dWVatWqERYWVmwbFxeXQr1BcXFxhXqNhBDiUYT87w8SotIwszKi41v1UanvMW8oaDspP/2UP29oyRIM//5D9kkggUjoHD58mDZt2jBy5EjdY3/++afuv62srKhevTr79u2jffv2RR7DyMgIjUZz33P17duXLVu24OHhgVqt5oUXXihQR48ePejfvz+QP7cpLCyMevXq6doYGxsXOk/9+vXZsWNHgWAUEhKClZUV7u733oywKA87ZKYoCmPGjGHnzp0cOHAALy+v+54jISGBiIgIXF2Lv5LD19eX4ODgAvOI9u7dS5s2be7/JoQQ4h7+PB3H+YP5W3N0GFQfC5uih+7h73lD856seUP/JoFI6NSqVYsvvviCPXv24OXlxebNmwkNDS3wxR4QEMDw4cNxcnKia9eupKamcvToUcaMGQOgC0xt27bFxMRENwz2X/369WP27NnMmzePV199FVNT0wJ17Nixg5CQEKpUqcKSJUuIjY0tEIiqV6/O8ePHuX79OpaWltjZ2TFy5EgCAwMZM2YMo0eP5urVq8yaNYsJEybo5g89jIcdMhs1ahRfffUV3333HVZWVrpeHRsbG8zMzEhLSyMgIIBXXnkFV1dXrl+/zrRp03BwcODll1/WHefNN9/E3d2dBQsWADBu3DieffZZPvzwQ3r06MF3333HL7/8Umg4TgghHkZKQib7N18BoEmnqlTzLn55FE1aGpHjxuXPG/Lze2LmDf3bkzHwJ0rE8OHD6dWrF3369KFVq1YkJCQU6C0CGDhwIIGBgaxcuRJvb2+6d+9eYLhn8eLFBAcH4+npSZMmxf/1ULt2bVq0aMG5c+fo169fgedmzJhB06ZN6dKlC35+fri4uNCzZ88CbSZNmoSBgQH169fH0dGRmzdv4u7uzq5duzhx4gSNGjVi+PDhDB48mOnTpz/+h/MAVq1aRXJyMn5+fri6uupu27ZtA/InlJ8/f54ePXrw1FNPMXDgQJ566imOHTuGlZWV7jg3b94kJiZGd79NmzZs3bqVDRs20LBhQzZu3Mi2bdto1Uo/VzIKISo+jUZL8LqLZGfk4VTdmlb32JpDt0/ZjZsYurniumD+EzNvqABFjw4ePKh0795dcXV1VQBl586dBZ7XarXKrFmzFFdXV8XU1FRp166dcuHChQJtsrKylNGjRyv29vaKubm58uKLLyoREREF2ty5c0fp37+/Ym1trVhbWyv9+/dXEhMTH6rW5ORkBVCSk5MLPZeZmalcunRJyczMfKhj6lu7du2UcePG6buMcmP//v0K8NA/G+VVRf25FEKUvmM7/1BWDNunrBl3QEm+nXHPtgmbv1Qu1amrXGrgo2ScOVNGFZace31//5teI156ejqNGjVixYoVRT6/aNEilixZwooVKwgNDcXFxYVOnTqRmpqqa+Pv78/OnTvZunUrR44cIS0tje7duxeYX9K3b1/OnDnD7t272b17N2fOnGHAgAGl/v4qgpUrV2Jpacn58+f1XYpeeXt733cCtRBCPAkiLt/h5J4bALQfUA9rh+IvmMk8d45bH34IgPO7kzBr1KhMatSLMgpo98V/eoi0Wq3i4uKiLFy4UPdYVlaWYmNjo6xevVpRFEVJSkpSjIyMlK1bt+raREVFKWq1Wtm9e7eiKIpy6dIlBVB+++03XZtjx44pgHLlypUHru9J7CGKjIxUwsLClLCwMCU7O1vf5ejV9evXdZ+FRqPRdzkloqL+XAohSk9aUpaybtIhZcWwfcqvX16+Z9u8xEQlrP1zyqU6dZWIMWMVrVZbRlWWrArRQ3Qv4eHhxMbG0rlzZ91jJiYmtGvXjpCQEABOnjxJbm5ugTZubm40aNBA1+bYsWPY2NgUmG/RunVrbGxsdG2Kkp2dTUpKSoHbk8bd3Z1atWpRq1YtjI2N9V2OXlWrVk33WTzKBGwhhCjvtFqF4PWXyEzNxd7dgmdeq11sW0WrJXrqNHKjozGqWhXXeXOf+LXPyu1v/rtX6Nxrhd7Y2FiMjY0LXcn03zZFbYvg5OR0z5V+FyxYgI2Nje7m6en5WO9HCCGE0KdTu68TdTURQ2M1XYY0wNC48PZKdyWsW0fa/v2ojI3xCFyKwb8u/HhSldtAdNejrND73zZFtb/fcaZOnUpycrLuFhER8ZCVCyGEEOVD1LVETvwQDkC7vnWo4lL8ArXpx09we2kgAM7vv49p/fplUaLeldtAdHePqnut0Ovi4kJOTg6JiYn3bHPr1q1Cx799+/Y9V/o1MTHB2tq6wE0IIYSoaDJTcwhedxFFgbqtXajbuviFYHPj4oiaOBG0Wmx69MC292tlWKl+ldtA5OXlhYuLC8HBwbrHcnJyOHjwoG6F3mbNmmFkZFSgTUxMDBcuXNC18fX1JTk5mRMnTujaHD9+nOTkZFnpVwghxBNN0Sr8svEy6ck5VHEx59k36hTfNi+P6AkT0cTHY1K7Ni6zZj7x84b+Ta8rVaelpfHHH3/o7oeHh3PmzBns7OyoWrUq/v7+zJ8/n9q1a1O7dm3mz5+Pubk5ffv2BfJXAB48eDATJ07E3t4eOzs7Jk2ahI+PDx07dgSgXr16PP/88wwZMoTPPvsMgKFDh9K9e3fq1Cn+B0MIIYSo6E7tvcHNiwkYGOXPGzIyKX7e0O1ly8j4/XfUFha4L1uG2rzi7cn5OPTaQ/T777/TpEkT3YrGEyZMoEmTJsycOROA9957D39/f0aOHEnz5s2Jiopi7969BVb1Xbp0KT179qR37960bdsWc3NzfvjhBwwM/vmfvmXLFnx8fOjcuTOdO3emYcOGbN68uWzfbDnk5+eHSqVCpVLdd8+uxxEQEEDjxo1L7fgloXr16rrPIikpSd/lCCHEY4sOS+L49/nzhp59/Sns3S2LbZv6668kfL4WANd5czGpcf+9GJ84ZbEGwJPgSVyHqF27dsqQIUOUmJgYJTc3t0SOSRErjqempirx8fElcvy7SnqV7bi4OGXHjh2PtVL1ypUrFR8fH8XKykqxsrJSWrdurezatatAG6DI26JFi4o97oYNG4p8zf1+3irqz6UQ4vFlpGQrGyYfUVYM26fsXX/hnmsIZd+4oVxp3kK5VKeuEjNvXhlWWTYedB0i2dy1kjM3N9dNYC8tlpaWWFoW/5eJPuXk5GBsbIyjo2OBnesfhYeHBwsXLtRtCLtp0yZ69OjB6dOn8fb2BiiwRxnAzz//zODBg3nllVfueWxra2uuXr1a4LF/b4grhBB3KVqFXzZcIj0pmyou5rR7o06xc4G0mZlEjh2HNjUVs8aNcZ40qYyrLT/K7aRqUfY0Gg2DBw/Gy8sLMzMz6tSpw7Jlywq1W79+Pd7e3piYmODq6sro0aOB/GEngJdffhmVSqW7/+8hsz179mBqalpoWGrs2LG0a9cOgISEBN544w08PDwwNzfHx8eHr7/+Wtd20KBBHDx4kGXLlumGua5fvw7AwYMHadmypa62KVOmkJeXp3utn58fo0ePZsKECTg4ONCpU6cS+OTyvfjii3Tr1o2nnnqKp556innz5mFpaclvv/2ma+Pi4lLg9t1339G+fXtq1Ch+Y0XIXzriv68VQoiinNp7g5uX7mD497whY9Oi+z4URSF29hyyr1zBwM4O98ClqCrxIr0SiEqBoihoMzL0clMU5ZHr1mq1eHh4EBQUxKVLl5g5cybTpk0jKChI12bVqlWMGjWKoUOHcv78eb7//ntdj0hoaCgAGzZsICYmRnf/3zp27IitrS07duzQPabRaAgKCtLtep+VlUWzZs348ccfuXDhAkOHDmXAgAEcP34cgGXLluHr68uQIUOIiYkhJiYGT09PoqKi6NatGy1atODs2bOsWrWKdevWMXfu3AI1bNq0CUNDQ44ePaqbaF+Uw4cP63q3irvNnz+/yNdqNBq2bt1Keno6vr6+Rba5desWP/30E4MHDy62hrvS0tKoVq0aHh4edO/endOnT9/3NUKIyic6LJHj3/0FwDP3mTeUtH07yd9+C2o17ksWY1TJ/9CSIbNSoGRmcrVpM72cu86pk6ge8coAIyMjZs+erbvv5eVFSEgIQUFB9O7dG4C5c+cyceJExo0bp2vXokULABwdHQGwtbUttgfDwMCAPn368NVXX+mCwL59+0hMTOS11/LXu3B3d2fSv7ptx4wZw+7du9m+fTutWrXCxsYGY2PjQsN9K1euxNPTkxUrVqBSqahbty7R0dFMnjyZmTNn6rbkqFWrFosWLbrv59G8efP7Tjb/7zDb+fPn8fX1JSsrC0tLS3bu3En9YhY127RpE1ZWVvTq1eue56hbty4bN27Ex8eHlJQUli1bRtu2bTl79iy1axe/9L4QonLJSMlhz9r89YbqtHKhXpvi1xvKPH+BWx/k/7Ho6O+PRevWZVVmuSWBSBSwevVq1q5dy40bN8jMzCQnJ0c33BUXF0d0dDQdOnR4rHP069cPX19foqOjcXNzY8uWLXTr1k23BYtGo2HhwoVs27aNqKgosrOzyc7OxsKi+JVVAS5fvoyvr2+BsfK2bduSlpZGZGQkVatWBfKDzoMwMzPT9X49qDp16nDmzBmSkpLYsWMHAwcO5ODBg0WGovXr19OvX7/7zgVq3bo1rf/1y6pt27Y0bdqUTz75hOXLlz9UfUKIJ1P+PmUXyUjOoYqrBe36Fj9vKC8xkahx41Byc7F87jns37l/L3VlIIGoFKjMzKhz6qTezv2ogoKCGD9+PIsXL8bX1xcrKys++ugj3VCV2WMc+99atmxJzZo12bp1KyNGjGDnzp1s2LBB9/zixYtZunQpgYGB+Pj4YGFhgb+/Pzk5Ofc8rlLEdix3hxD//fj9gtVdhw8fpmvXrvdsM23aNKZNm6a7b2xsrAtRzZs3JzQ0lGXLlhUamjt8+DBXr15l27ZtD1TLv6nValq0aEFYWNhDv1YI8WT6/adwIq/k71P2/D3WG1I0GqLffU+3aavbwgWoZENrQAJRqVCpVI88bKVPhw8fpk2bNowcOVL32J9//qn7bysrK6pXr86+ffto3759kccwMjJCo9Hc91x9+/Zly5YteHh4oFareeGFFwrU0aNHD/r37w/kz20KCwujXr16ujbGxsaFzlO/fn127NhRIBiFhIRgZWWFu7v7A3wCBT3KkNl/KYpCdnZ2ocfXrVtHs2bNaNSo0UPXpSgKZ86cwcfH56FfK4R48ty8lEDorusA+PWri51b8X/0xX/6KelHjqAyNcXjk+UYyLZUOhKIhE6tWrX44osv2LNnD15eXmzevJnQ0FC8vP5ZoCsgIIDhw4fj5ORE165dSU1N5ejRo4wZMwZAF5jatm2LiYmJbhjsv/r168fs2bOZN28er776aoFho1q1arFjxw5CQkKoUqUKS5YsITY2tkAgql69OsePH+f69etYWlpiZ2fHyJEjCQwMZMyYMYwePZqrV68ya9YsJkyYoJs/9DAedshs2rRpdO3aFU9PT1JTU9m6dSsHDhxg9+7dBdqlpKSwfft2Fi9eXORx3nzzTdzd3VmwYAEAs2fPpnXr1tSuXZuUlBSWL1/OmTNn+PTTTx/6PQkhnixpidkEr78ECtR/xo06rYqfGJ36637iV64CwHXObExlt4YCpJ9M6AwfPpxevXrRp08fWrVqRUJCQoHeIoCBAwcSGBjIypUr8fb2pnv37gWGbhYvXkxwcDCenp66FciLUrt2bVq0aMG5c+d0V5fdNWPGDJo2bUqXLl3w8/PDxcWFnj17FmgzadIkDAwMqF+/Po6Ojty8eRN3d3d27drFiRMnaNSoEcOHD2fw4MFMnz798T+cB3Dr1i0GDBhAnTp16NChA8ePH2f37t2FLu3funUriqLwxhtvFHmcmzdvFlivKCkpiaFDh1KvXj06d+5MVFQUhw4domXLlqX6foQQ5ZtGo2XvugtkpeXi4GnJM72Lv8gi58YNoidPBqBKv37YvPRSWZVZYaiUx7lOuxJJSUnBxsaG5ORkrP/TxZiVlUV4eDheXl4VarE8Pz8/GjduTGBgoL5LKRcOHDhA+/btSUxMxNbWVt/lPLaK+nMphHgwR/8XxplfIjA2NeC1aS2wdSp6qoY2M5PrfV4n+9o1zJo0odqmjZVqvaF7fX//m/QQVXIrV67E0tKS8+fP67sUvfL29r7vBGohhCgv/jwdx5lfIgB4bmC9YsOQoijEzJxF9rVrGDg44B4YWKnC0MOQOUSV2JYtW8jMzATQXZJeWe3atYvc3FyAe/4FIYQQ+pZ0K4NfN10GoHFHT2o2cSq2beLmL0n54QcwMMhffNG5+LaVnQSiSuxRrrx6UlWrVk3fJQghxH3l5WjYveYCOVkaXGvZ0PrlmsW2zQgN5daHHwLg/N67WMi8w3uSITMhhBCigji49RoJUWmYWRnR5Z0GGBgU/TWee+sWkf7jQaPBunt3qrz5ZhlXWvFIIBJCCCEqgEtHo7kSEoNKBZ0He2Nha1JkO21ODpFjx6JJSMCkTh1cP5hT7KrV4h8SiIQQQohyLu5GCoe+vgZAy5dq4FG3+EVhb82bT9bZc6itrfFY8QnqEtpl4EkngUgIIYQox7LSc9m95gKaPC3VGzrQrEvxcx6T/vc/krZtA5UK98UfY+zpWYaVVmwSiIQQQohyStEq/LLhEqkJWVg7mNJxUD1U6qKHvzLPnCF29hwAHMeNxfKZZ8qy1ApPApEQQghRTv3+83VuXEjAwEjN88N8MDE3KrJd3u3bRI7N38HeqlMn7IcNK+NKKz4JRJWYn59f/ka0KtV9NzF9HAEBATRu3LjUjl8SqlevrvsskpKS9F2OEEJw82ICJ34MB6DdG3Vw9LQqsp2Sk0PkOH/y4uIwrlUT1wULZBL1I5BAVMkNGTKEmJgYGjRoUCLHU6lUfPvttwUemzRpEvv27SuR49/l5+eHv79/iR0vNDSUHTt2PNYxAgICdKHq7s3FpeBGi4qiEBAQgJubG2ZmZvj5+XHx4sX7HnvHjh3Ur18fExMT6tevz86dOx+rViFE+ZYSn8ne9Rd1m7bWa+NabNvYBQvIPHUKtZUVnitWYGBZ/G73ongSiCo5c3NzXFxcMDQsvTU6LS0tsbe3L7XjP46cnBwAHB0dsbMr/qqNB+Xt7U1MTIzu9t8tURYtWsSSJUtYsWIFoaGhuLi40KlTJ1JTU4s95rFjx+jTpw8DBgzg7NmzDBgwgN69e3P8+PHHrlcIUf7cXXwxOz0Pp2pW99y0Nel//yPp6635k6g//gjj6tXLrtAnjAQioaPRaBg8eDBeXl6YmZlRp04dli1bVqjd+vXr8fb2xsTEBFdXV0aPHg3kDzsBvPzyy6hUKt39fw+Z7dmzB1NT00LDUmPHjqVdu3YAJCQk8MYbb+Dh4YG5uTk+Pj58/fXXuraDBg3i4MGDLFu2TNcTc/36dQAOHjxIy5YtdbVNmTKFvLw83Wv9/PwYPXo0EyZMwMHBodBO9I/L0NAQFxcX3c3R0VH3nKIoBAYG8v7779OrVy8aNGjApk2byMjI4Kuvvir2mIGBgXTq1ImpU6dSt25dpk6dSocOHWRTXiGeQIqicHDrNW7fTMXUwoguQxtgaGRQZNtCk6j//h0qHo0EolKgKAq52Rq93BRFeeS6tVotHh4eBAUFcenSJWbOnMm0adMICgrStVm1ahWjRo1i6NChnD9/nu+//55atWoB+cNOABs2bCAmJkZ3/986duyIra1tgeEpjUZDUFAQ/fr1A/J3aW/WrBk//vgjFy5cYOjQoQwYMEDXI7Js2TJ8fX11w30xMTF4enoSFRVFt27daNGiBWfPnmXVqlWsW7eOuXPnFqhh06ZNGBoacvToUT777LNiP4/Dhw9jaWl5z9v8+fMLvCYsLAw3Nze8vLx4/fXX+euvv3TPhYeHExsbS+fOnXWPmZiY0K5dO0JCQoqt49ixYwVeA9ClS5d7vkYIUTFdOvKvxRff8cbavug1hHJvxRE5ZqxMoi5BspdZKcjL0bJm3EG9nHvosnYYmRT918T9GBkZMXv2bN19Ly8vQkJCCAoKonfv3gDMnTuXiRMnMm7cOF27Fi1aAOh6Q2xtbQvNnbnLwMCAPn368NVXXzF48GAA9u3bR2JiIq+99hqQv8fapEmTdK8ZM2YMu3fvZvv27bRq1QobGxuMjY11w313rVy5Ek9PT1asWIFKpaJu3bpER0czefJkZs6ciVqdn/9r1arFokWL7vt5NG/e/L6Tzf89zNaqVSu++OILnnrqKW7dusXcuXNp06YNFy9exN7entjYWACcnZ0LHMPZ2ZkbN24Ue47Y2NgiX3P3eEKIJ8Ot8BQObctffLFVjxp41it6GF+bnU3k2DHk3b6NSe3auC2USdQlQQKRKGD16tWsXbuWGzdukJmZSU5Ojm64Ky4ujujoaDp06PBY5+jXrx++vr5ER0fj5ubGli1b6NatG1WqVAHye4wWLlzItm3biIqKIjs7m+zsbCws7j1R8PLly/j6+hb4xdC2bVvS0tKIjIykatWqQH7QeRBmZma63q8H0bVrV91/+/j44OvrS82aNdm0aRMTJkzQPfffX1yKotz3l9mjvEYIUXFkpuawe815tHkKNRo70rSYxRcVRSF29pz8lahtbPD4dAXq+/xuFA9GAlEpMDRWM3SZfsZyDY0ffRQ0KCiI8ePHs3jxYnx9fbGysuKjjz7SDVWZldDy7y1btqRmzZps3bqVESNGsHPnTjZs2KB7fvHixSxdupTAwEB8fHywsLDA399fNwG6OEWFhLtDiP9+/H7B6q7Dhw8XCDlFmTZtGtOmTSvyOQsLC3x8fAgLCwPQ9WbFxsbi6vrPFSNxcXGFeoD+zcXFpVBv0P1eI4SoOLQaLXs+v0BaYja2zuZ0GFiv2D94Er/cQvI334BajcfSJRj//YeeeHwSiEqBSqV65GErfTp8+DBt2rRh5MiRusf+/PNP3X9bWVlRvXp19u3bR/v27Ys8hpGRERqN5r7n6tu3L1u2bMHDwwO1Ws0LL7xQoI4ePXrQv39/IH9uU1hYGPXq1dO1MTY2LnSe+vXrs2PHjgLBKCQkBCsrK9zd3R/gEyjoYYfM/is7O5vLly/zzN+rxXp5eeHi4kJwcDBNmjQB8q9yO3jwIB9++GGxx/H19SU4OJjx48frHtu7dy9t2rR5iHcjhCivQnb+SdS1JIxMDOg6zAdjs6K/mtN/O86thQsBcHr3XSzkd0CJkkAkdGrVqsUXX3zBnj178PLyYvPmzYSGhuLl5aVrExAQwPDhw3FycqJr166kpqZy9OhRxowZA6ALTG3btsXExEQ3DPZf/fr1Y/bs2cybN49XX30VU1PTAnXs2LGDkJAQqlSpwpIlS4iNjS0QiKpXr87x48e5fv06lpaW2NnZMXLkSAIDAxkzZgyjR4/m6tWrzJo1iwkTJujmDz2Mhx0ymzRpEi+++CJVq1YlLi6OuXPnkpKSwsCBA4H8oOzv78/8+fOpXbs2tWvXZv78+Zibm9O3b1/dcd58803c3d1ZsGABAOPGjePZZ5/lww8/pEePHnz33Xf88ssvHDly5KHfkxCifLkWGsvZXyIA6DCoHnZuRfdg50RGEuXvDxoN1i++iN2ggWVYZenL1eYSmxaLp7X+9l6Tq8yEzvDhw+nVqxd9+vShVatWJCQkFOgtAhg4cCCBgYGsXLkSb29vunfvrhsSgvzhruDgYDw9PXW9IEWpXbs2LVq04Ny5c7qry+6aMWMGTZs2pUuXLvj5+eHi4kLPnj0LtJk0aRIGBgbUr18fR0dHbt68ibu7O7t27eLEiRM0atSI4cOHM3jwYKZPn/74H84DiIyM5I033qBOnTr06tULY2NjfvvtN6pV+2cuwHvvvYe/vz8jR46kefPmREVFsXfvXqys/lmB9ubNm8TExOjut2nThq1bt7JhwwYaNmzIxo0b2bZtG61atSqT9yWEKB3xkans/+IKAE2fr0bNJk5FttOkpRM5YiSapCRMGzTA9YM5T9QcQq2iZfqR6byx6w3O3z5//xeUEpXyONdpVyIpKSnY2NiQnJyMtbV1geeysrIIDw/Hy8urQE9Heefn50fjxo1lPZu/HThwgPbt25OYmIitra2+y3lsFfXnUojKICs9l+0LQkmJz6JqfTteGN0IdRGbtipaLZFjx5L2yz4MHB3w+t//MHqC5g8qisLc3+YSdC0IQ5Uhy55bxrMez5boOe71/f1v0kNUya1cuRJLS8tCKypXNt7e3vedQC2EECVBq1UIXn+RlPj8Hew7DfYuMgwBxK/4lLRf9qEyMsLzk0+eqDAEEHgqkKBrQahQseCZBSUehh6GzCGqxLZs2UJmZiaA7pL0ymrXrl3k5uYC3PMvCCGEeFzHv/uLmxfvYGikputwH0wtit7BPmX3HuJXrgTAZc4czMr5JtkPa+35tay/sB6AWb6zeN7reb3WI4GoEnuUK6+eVP+e5yOEEKXlj5NxnNqTvxBr+wF1cfAoegf7rMuXiZ46FQC7gQOxfblnWZVYJrZe2cqyU/lbQ01qPolXnnpFzxXJkJkQQghRJuIj09i36RIAjTtV5amWRa/onxcfT8TIUSiZmVi0aYPTu5OKbFdR/fDnD8w7Pg+AoQ2HMtC7fFwxJ4FICCGEKGVZ6bn8vPoceTlaPOpWwbdnjSLbaXNyiBwzlryYGIyrV8d96RJUhk/OYM6+G/uYcXQGAH3r9mV049F6rugfEohKkFywJ8oT+XkUonzQarTsXXtBN4m6yzsNUBsU/vpVFIXYWQFknj6N2toaj1UrMbCx0UPFpeNo1FEmHZqERtHQo2YPJrecXK6WD5BAVAKMjPInxGVkZOi5EiH+cffn8e7PpxBCP3779i8iLidiaKym6/CGmFoW/W/yzoaNJO/cCWo17kuWYPKvRXErupO3TuK/3588bR6dqnUioE0AalX5iiBPTj+cHhkYGGBra0tcXBwA5ubm5Sr1ispFURQyMjKIi4vD1tYWA4OKt42MEE+Kq8djOR18E4Dn3qyHg4dlke3SDh4k7uOPAXCeMgXLp9uWWY2l7WL8RUbtG0WWJoun3Z/mw2c+xFBd/uJH+auogrq7cefdUCSEvtna2up+LoUQZS/uRgr7v/xnJerazYteQyg7LIyoCRNBq8X2tVepMqB/WZZZqq4lXmPYL8NIz02nuXNzlvotxcigfPZaSyAqISqVCldXV5ycnHTr2QihL0ZGRtIzJIQeZaTk8PPq82hytVTzsafVS0VPos5LTCRixEi06emYt2iBy4wZT8wIw/Xk6wzdO5Tk7GQa2DdgRYcVmBqW31XzJRCVMAMDA/kiEkKISkyTp2X3Z+dJS8zG1tmcTm8XvRK1kpND5Jgx5EZGYlS1Ku7Ll6EyNtZDxSUvKi2Kd/a+Q0JWAk9VeYrVnVZjYVT0xrXlRfma0SSEEEJUYIqicGjrNWL+TMbYzJBuI3wwMSvc96AoCjEBs8n8/SRqS0s8V63EsEoVPVRc8m6l3+KdPe9wK+MWXjZerOm0BhuT8n+1nAQiIYQQooRcOBjFpSPRoILOg72p4lJ0r8idDRtJ/uab/CvKli7FpGbNMq60dCRkJjAkeAiRaZF4WHrweafPsTez13dZD0QCkRBCCFECIq/c4XBQGAC+PWtSrUHRQSD111+J++gjAJynTsXymafLrMbSlJydzNDgoYQnh+Ns7szaLmtxtqg4m9FKIBJCCCEeU/LtDHZ/fgFFq/BUK2eadC56w+ysy5eJmvQuKAq2ffpQpX+/Mq60dKTmpDI0eCjXEq9hb2rP2s5rcbesWPtllutAlJeXx/Tp0/Hy8sLMzIwaNWowZ84ctFqtro2iKAQEBODm5oaZmRl+fn5cvHixwHGys7MZM2YMDg4OWFhY8NJLLxEZGVnWb0cIIcQTKCczj59Wnic7PQ+n6ta071+3yCvFcuPiiBgxEiUjA4s2bXCZ/v4TcUVZem46I34ZwaWES1QxqcLazmupblNd32U9tHIdiD788ENWr17NihUruHz5MosWLeKjjz7ik08+0bVZtGgRS5YsYcWKFYSGhuLi4kKnTp1ITU3VtfH392fnzp1s3bqVI0eOkJaWRvfu3dFoNPp4W0IIIZ4QilYheMMlEmPSsbAxpttwHwyNCl9prM3MJHLkKPJiYzGuUQP3wKWonoBV5DPzMhm9bzRnb5/FytiKNZ3XUKtKLX2X9UhUSjne8Kh79+44Ozuzbt063WOvvPIK5ubmbN68GUVRcHNzw9/fn8mTJwP5vUHOzs58+OGHDBs2jOTkZBwdHdm8eTN9+vQBIDo6Gk9PT3bt2kWXLl0eqJaUlBRsbGxITk7G2tq65N+sEEKICufYt39yavcNDAzVvDypKc7VC38/KFotUeMnkLpnDwa2tlQP2oZx1aKH1CqSbE02Y/aN4VjMMSyMLFjbeS0NHBrou6xCHvT7u1z3ED399NPs27ePa9euAXD27FmOHDlCt27dAAgPDyc2NpbOnTvrXmNiYkK7du0ICQkB4OTJk+Tm5hZo4+bmRoMGDXRtipKdnU1KSkqBmxBCCHHX1eOxnNp9A4D2A+oWGYYAbi9bTuqePaiMjPD4dMUTEYZyNDmM3z+eYzHHMDM0Y1XHVeUyDD2Mcr0w4+TJk0lOTqZu3boYGBig0WiYN28eb7zxBgCxsbEAODsXnMXu7OzMjRs3dG2MjY2p8p/1HZydnXWvL8qCBQuYPXt2Sb4dIYQQT4jYv5LZv/mfbTnqtCp6m5ykHd+Q8NlnALh8MAfzZs3KrMbSkqvNZdLBSRyOOoypgSmfdviUJk5N9F3WYyvXPUTbtm3jyy+/5KuvvuLUqVNs2rSJjz/+mE2bNhVo999JaYqi3Hei2v3aTJ06leTkZN0tIiLi0d+IEEKIJ0bqnSx2rT6PJk+LVyMHWhezLUf6b8eJmTULAPsRw7Ht2bMMqywdedo8Jh+azP6I/RirjVn23DJauLTQd1klolz3EL377rtMmTKF119/HQAfHx9u3LjBggULGDhwoG7jytjYWFxdXXWvi4uL0/Uaubi4kJOTQ2JiYoFeori4ONq0aVPsuU1MTDAxMSmNtyWEEKKCys3WsGvVOTJTcrB3t6TjW/VRFbEtR/ZffxE5dizk5WHdrRuOY8fqodqSpdFqmHZkGsE3gjFSGxHYPpA2bsV/j1Y05bqHKCMjA7W6YIkGBga6y+69vLxwcXEhODhY93xOTg4HDx7UhZ1mzZphZGRUoE1MTAwXLly4ZyASQggh/k3RKvyy8RLxEWmYWRnRbaQPxqaF+xXy7twhYthwtCkpmDVpguuC+RX+8nqNVsPMkJn8HP4zhipDFrdbzDMez+i7rBJVrnuIXnzxRebNm0fVqlXx9vbm9OnTLFmyhLfffhvIHyrz9/dn/vz51K5dm9q1azN//nzMzc3p27cvADY2NgwePJiJEydib2+PnZ0dkyZNwsfHh44dO+rz7QkhhKhAjv/wF3+dvo3aUEXX4Q2xtjcr1EabnU3k6DHkRkRg5OmJx6crUFfw0QatomVWyCy+//N7DFQGLGq3iPZV2+u7rBJXrgPRJ598wowZMxg5ciRxcXG4ubkxbNgwZs6cqWvz3nvvkZmZyciRI0lMTKRVq1bs3bsXKysrXZulS5diaGhI7969yczMpEOHDmzcuFF2pRdCCPFArh6P5eTPf19R1r8urjULb1aqaLXETJ1K5qlTqK2t8fxsNYZ2dmVdaonSKlrmHJvDd39+h4HKgIXPLqRTtU76LqtUlOt1iMoTWYdICCEqp5g/kvg28DTaPIWmz1fDt2fRG7HGLV5Cwuefg5ERVT9fg0Xr1mVcaclSFIUPfvuA7de2o1apWfD0ArrV6Kbvsh7aE7EOkRBCCKFPKfGZ/PzZebR5CjWaOBZ7RVliUFB+GAJc58x5IsLQ/OPz2X5tOypUzG07t0KGoYchgUgIIYQoQv4eZefITM3FsaoVHQcVfUVZ2uEjxM6eA4DDqFHYvtyzjCstWYqisODEArZe3YoKFR+0/YAXa76o77JKnQQiIYQQ4j+0Gi171l7kTvTfe5SNaIiRSeF5p1lXrxLl7w8aDTY9XsJh9KiyL7YEKYrCwhML+frK16hQMbvNbHrU6qHvssqEBCIhhBDiP45s/4ObFxMwNFLTbWRDLKsUvlIsNzaWiKHD0KanY96yJa4ffFChL6+/G4a+uvKVLgy9XPtlfZdVZiQQCSGEEP9ybn8E5w9Eggo6ve2NU7XCE3E1aWlEDBtO3q1bGNeogccny1EZG+uh2pKhKAofhn7IV1e+Aqh0YQgkEAkhhBA618/HcyQoDADfl2tSo4ljoTZKbi5RY8eRffUqBg4OeK5Zg4FN4cvwKwpFUVgUuogtl7cAlTMMQTlfh0gIIYQoK/GRqexdexFFgXptXWnSqfCu9IqiEDMrgPSQEFTm5niuXo2xh7seqi0Zd3uG7oahWb6z6FW7l56r0g8JREIIISq99ORsfvr0HLnZGtzrVKHdG3WKnA8Uv3Ilyd98A2o1HkuXYNbAWw/Vloy7V5PdnUAd0Cag0oYhkEAkhBCiksvN1vDTp+dIS8zG1tmc54c2wMCw8IySpG92Ev/JCgBcZs3Csl27si61xCiKwrzj89h2dVulnEBdFAlEQgghKi2tVmHvuovcvpmKqaUR3Uc3xNTCqFC7tMOHiZkxAwD7oUOp0qd3WZdaYrSKlvnH50sY+g8JREIIISqto9vDuH4uHgNDNS+MbIiNo3mhNpkXLhI5zl+31pDjeP8yr7Ok3N2bbEfYDt2ii5VlnaH7kUAkhBCiUjr7awTn9kcC0PGt+rjUKHylWE5kJBHDh6NkZGDRxrdCrzWk0WoIOBbAt398i1qlZm7buZViBeoHJYFICCFEpRN+Lp6j2/+5vL5WM6dCbfISE4l4Zwia+HhM6tbFfXnFXWtIo9Uw4+gMfvjrB9QqNfOfns8LNV7Qd1nligQiIYQQlUrcjRT2rr2AokD9tq406Vz48nptZiaRI0aSc/06hm6ueH72GQaWlnqo9vHlafN4/8j77ArfhYHKgIXPLuT56s/ru6xyRwKREEKISiMlPpMfPz1HXo4Wz/p2PNu38OX1Sl4eURMnkXnmDGpra6quWYORc+EepIogV5vL1MNT2XN9D4YqQxa1W0Snap30XVa5JIFICCFEpZCVnsuPK86SmZKDvbslzw9pgIFBwcvrFUUhdvYc0n79FZWJCZ6rVmJSq5aeKn48OZoc3j34Lr9G/Iqh2pDF7RbzXNXn9F1WuSWBSAghxBNPk6vl59XnSYzNwLKKCd1HN8LYrPBXYPyKT0navh3UatwXf4x5s2Z6qPbxZWuyGb9/PIejDmOsNmZp+6U86/Gsvssq1yQQCSGEeKIpWoV9X1wmOiwJI1MDXhjVqMjd6xO3BRH/6acAuMycgVXHjmVdaonIzMtk3K/jOBZzDFMDU5Y9t4w2bm30XVa5J4FICCHEE+237/8iLPQWarWKrkN9cPAoPDk6dd8+YmfPBsBh5AiqvP56WZdZIjJyMxj962hCY0MxMzTj0w6f0sKlhb7LqhAkEAkhhHhiXTgYyandNwDw618Xz/p2hdpk/P47URMmglaLzauv4DBmTFmXWSJSc1IZ+ctIztw+g4WRBas6rqKJUxN9l1VhSCASQgjxRAo/e5tDW68B0PJFL+q1cS3UJuvqNSJGjETJzsbyuedwDQiokAsvJmUlMeyXYVxKuISVsRWfdfwMH0cffZdVoUggEkII8cSJ/SuZvWsv6tYaat6teqE2OZFRRLzzDtrUVMyaNcN9yWJUhhXvazEhM4EhwUMISwyjikkV1nReQ127uvouq8KpeP/nhRBCiHtIupXBTyvPkZerpVoDe9oVsdZQ3p07RLzzDnm3b2NSuzaeKz9FbWqqp4of3a30WwwJHkJ4cjgOZg6s7byWmrY19V1WhSSBSAghxBMjIyWHH1acJSstF8eqVnR+xxv1f9Ya0qSlEzFs+D+rUK/9HAObwvuYlXdRaVG8s+cdItMicbFwYW3ntVSzrqbvsiosCURCCCGeCDlZefz06VlSbmdi7WCav9aQacGvOW1ODlFjx5B1/jwGtrZUXbsWI2dnPVX86MKTw3ln7zvEZcThYenB2i5rcbd013dZFZoEIiGEEBWeRqNlz5oLxN1IxdTSiBfHNMbcuuBGrIpGQ/S775EecgyVuTmen6/BpEYNPVX86K7eucrQ4KHcybpDDZsafN75c5zMK+bWIuWJ+v5NhBBCiPJLURT2b77CzUt3MDRW88Kohtg6mxdqEzvnA1L37EFlZITnik8w86l4V2Gdu32Ot/a8xZ2sO9Szq8eG5zdIGCohEoiEEEJUaL999xdXf4tFpVbRZUgDXLwKzwe6vWwZSdu2gUqF20cfYdGm4q3cHBobypC9Q0jNSaWRYyPWdlmLnWnhdZXEo5FAJIQQosI6t/+fhRfb969DdR+HQm3ubNpEwurPAHAJCMD6+S5lWmNJOBR5iBG/jCAjL4OWLi1Z02kN1sbW+i7riSKBSAghRIUU9vstDgflL7zY6iUv6rVxK9Qm6Zud3FqwEABH/3FU6dO7TGssCbvDdzPu13Fka7Lx8/BjZceVmBuZ3/+F4qFIIBJCCFHhRFy+wy8bLoECPu3cada1eqE2KcHBxEyfDoDdoEHYDxtWxlU+vv9d+x/vHXqPPCWPrl5dWdJ+CSYGhTemFY9PrjITQghRody+mcrPq8+j1SjUbOrE032eKrTwYvqxY0Tf3Z/slV44TX6vwm3JseniJj7+/WMAXnvqNd5v9T4GagM9V/XkkkAkhBCiwkiKy+CHT86Qm63BvU4VOr1VH7W6YNDJPHuWiFGjUXJzserUCdfZsytUGFIUhRVnVrDm3BoA3mrwFuObjq9Q76EikkAkhBCiQkhPzuaH5WfITM3FwdOSbsN9MDAqOPMj69o1IoYOQ8nIwKKNL26LP65Q+5NpFS0Lji9g69WtAIxtMpZ3fN6RMFQGKs5PiRBCiEorOyOXH5afJSU+C2sHU14c0xhjs4JfYTk3bnBz8GA0ycmYNmqIxyefoDY2LuaI5U+uNpfpR6azK3wXKlRMbz2d3nUq3iTwikoCkRBCiHItN0fDTyvPkRCVhrm1MS+Na1JoFercmBhuvvU2mtvxmNSpQ9U1a1BbWOip4oeXlZfFpIOTOBh5EEOVIfOfmU9Xr676LqtSkUAkhBCi3NJotOz9/AIxfyRjbGbIi2MbY+NoVqBNXkICN98eTG50NMbVqlF13doKtVlrak4qo/eN5lTcKUwMTFjit4RnPZ7Vd1mVjgQiIYQQ5ZKiVdj/xRWun0/AwEjNCyMb4uBhWaCNJiWFm+8MISc8HENXV6puWI+hQ+HFGcur+Mx4hgcP52riVSyNLFnRYQXNnJvpu6xKSQKREEKIckdRFI7u+IOrx/O35Hh+SAPcatsWaKNNTydi6DCyL1/GwMGBahvWY+RWeHHG8ioiNYJhwcOISI3A3tSe1Z1WU9eurr7LqrQkEAkhhCh3ft91nbP7IgB47s26VG9YsNdHm5VFxMhRZJ45g9rGhqrr1mJcvboeKn00V+9cZfgvw4nPjMfd0p3PO32Op7Wnvsuq1CQQCSGEKFfO7Y/kxA/hADz9Wm3qtnYt8LySk0PkuHFkHD+O2sKCqms/x7ROHX2U+khO3TrF6F9Hk5qTSu0qtfms42c4mjvqu6xKT7buEEIIUW5cPR7L4W35+5O1eKE6jToU7DVR8vKImvQu6QcPoTI1xfOz1Zj5+Oij1Eey/+Z+hgYPJTUnlcaOjdnQZYOEoXJCApEQQohyIfxcPPs2XQbAp70HLbp7FXhe0WqJef99UvfuRWVkhMeKFZg3b66PUh/JzrCdjD8wnmxNNu082rGm8xpsTCrO1XBPOhkyE0IIoXdRVxPZs+YCilahTmsXnnmtdoHVmRVFIXZWAMnffQ8GBrgHLsXy6bZ6rPjBKYrCugvrWHZqGQA9avZgVptZGKmN9FyZ+LcHDkTff//9Qx+8U6dOmJmZ3b+hEEKISis2PJmfVp5Dk6elekMHnhtQF5W6YBi6NW8+Sdu3g1qN26IPserQQY8VPzitouWj0I/48vKXgOxLVp49cCDq2bPnQx1YpVIRFhZGjRo1HramAqKiopg8eTI///wzmZmZPPXUU6xbt45mzfLXaVAUhdmzZ7NmzRoSExNp1aoVn376Kd7e3rpjZGdnM2nSJL7++msyMzPp0KEDK1euxMPD47FqE0II8XjiI9P48ZOz5GZr8KhbhS5DvFEb/DObQ1EU4j76mMQv8wOF67x52Lzwgr7KfSg5mhymH5nOz9d/BmBS80kM9B6o56pEcR5qDlFsbCxarfaBbubm5o9dXGJiIm3btsXIyIiff/6ZS5cusXjxYmxtbXVtFi1axJIlS1ixYgWhoaG4uLjQqVMnUlNTdW38/f3ZuXMnW7du5ciRI6SlpdG9e3c0Gs1j1yiEEOLRJN3K4PvlZ8jOyMOlhjVdh/tgaGRQoE38J59wZ/16AFxmz8b25Z56qPThpeWkMfKXkfx8/WcM1YYseGaBhKFy7oF7iAYOHPhQw1/9+/fH2tr6kYq668MPP8TT05MNGzboHqv+r3UmFEUhMDCQ999/n169egGwadMmnJ2d+eqrrxg2bBjJycmsW7eOzZs307FjRwC+/PJLPD09+eWXX+jSpctj1SiEEOLhpd7J4rtlp8lMycHew5LuoxthbFrwKyl+9WfEr1wFgPO0aVTpUzE2Oo3PjGfELyO4cucK5obmLG2/lDZubfRdlriPB+4h2rBhA1ZWVg984FWrVuHwmMunf//99zRv3pzXXnsNJycnmjRpwueff657Pjw8nNjYWDp37qx7zMTEhHbt2hESEgLAyZMnyc3NLdDGzc2NBg0a6NoUJTs7m5SUlAI3IYQQjy89OZvvAk+TdicbW2dzXhrbGBPzghOME9au5XZgIABOkyZi9+YAPVT68K4nX6f/rv5cuXMFO1M71j+/XsJQBVFil91rtVp++OGHh55rdC9//fUXq1atonbt2uzZs4fhw4czduxYvvjiCyB/CA/A2dm5wOucnZ11z8XGxmJsbEyVKlWKbVOUBQsWYGNjo7t5esoKokII8bgy03L4ftkZkuMysbIz5aVxjQvtXJ+wcSNxHy8GwNF/HPbvvKOPUh/a2dtnGfDzAKLSovC08uTLrl/ibe99/xeKcuGxA1FYWBhTp07Fw8OD3r1LtjtTq9XStGlT5s+fT5MmTRg2bBhDhgxh1apVBdr9d7a+oij3ncF/vzZTp04lOTlZd4uIiHj0NyKEEILsjFx+WH6WO9HpWNgY02N8Y6zsTAu0ubP5S+IWfgiAw6hROAwfro9SH9r+m/t5Z887JGUn4W3vzeaum2UrjgrmkQJRZmYmmzZt4tlnn8Xb25tFixYxZcoUbt++zbfffltixbm6ulK/fv0Cj9WrV4+bN28C4OLiAlCopycuLk7Xa+Ti4kJOTg6JiYnFtimKiYkJ1tbWBW5CCCEeTU5WHj+uOMvtm6mYWRnxkn8TbBwLXnyT+PXX3Jo3DwD7YcNwGD1KH6U+tKCrQfgf8CdLk8Uz7s+wvst67M3s9V2WeEgPFYhOnDjB0KFDcXFxYcWKFbzyyitERESgVqvp2LEjlpaWJVpc27ZtuXr1aoHHrl27RrVq1QDw8vLCxcWF4OBg3fM5OTkcPHiQNm3yx2ybNWuGkZFRgTYxMTFcuHBB10YIIUTpycvRsGvVOWL/SsHE3JCXxjXGztWiQJvEbUHEzp4DgN3gt3H0H1fu1+pRFIVPTn/CB799gFbR0qt2L5Y/txxzo8e/ylqUvYdaqbpNmzaMGTOGEydOUKcMNtIbP348bdq0Yf78+fTu3ZsTJ06wZs0a1qxZA+QPlfn7+zN//nxq165N7dq1mT9/Pubm5vTt2xcAGxsbBg8ezMSJE7G3t8fOzo5Jkybh4+Oju+pMCCFE6dDkavn5s/NEXU3CyNSAF8c0xsGj4AU6iUFBxM6aBYDdwIE4TZpU7sNQriaXWSGz+OGvHwAY0WgEIxqNKPd1i+I9VCB67rnnWLduHXFxcQwYMIAuXbqU6v/8Fi1asHPnTqZOncqcOXPw8vIiMDCQfv366dq89957ZGZmMnLkSN3CjHv37i1wRdzSpUsxNDSkd+/euoUZN27ciIGBQVGnFUIIUQI0eVp2f36BmxfvYGispvuoRjh7FZx+kLh9O7Ez88NQlTcH4DRlcrkPFak5qYw/MJ7jMccxUBkw03cmvWr30ndZ4jGpFEVRHuYFERERbNiwgQ0bNpCZmUmfPn1YuXIl586do169eqVVp96lpKRgY2NDcnKyzCcSQoj70Gq07F13kT9P3cbASE33UQ3xqGtXoE3Sjh3EvD8dgCoDBuA8bWq5D0Ox6bGM3DeSsMQwzA3NWey3mKfdn9Z3WeIeHvT7+6EnVXt6ejJz5kzCw8PZvHkzcXFxGBoa0qNHD6ZNm8apU6ceq3AhhBAVm1ar8MvGy/x56jZqQxVdh/sUEYa+IWb6DACq9O9fIcLQ1TtX6berH2GJYTiYObDx+Y0Shp4gD91DVJTExES+/PJL1q9fz7lz557ILTGkh0gIIe5P0Sr8+uUVroTEoFareH5YA7waORZok/S//xEzYyYoClX69cN5+vvlPgwdjTrKxIMTSc9Np4ZNDVZ1XIWbpZu+yxIPoMR7iM6dO4dWqy3yuSpVqjBmzBhOnz5NaGgoABcvXiQvL+8hyxZCCFFRKVqFA1vyw5BKBZ0GexcKQ4lBQfk9Q4pClb59K0QY2nFtB6P2jSI9N50WLi34ousXEoaeQA8ciJo0aUJCQsJ92zVt2hQAX19f3XpBQgghnmyKonBw6zUuHc0PQx3fqk+tZk4F2iRuC/pnAvWAATjPmF6uw5BW0bL81HICjgWgUTR0r9Gd1R1XY2Nio+/SRCl44KvMFEVhxowZD7yLfU5OziMXJYQQouJQFIXD28K4eCgKVNBhYD2eaulSoE3i1q3EBswGwG7gmzhNmVKuw1C2JpsZR2fwc/jPAAxvNJyRjUaW65rF43ngQPTss88WWiTxXnx9fTEzM3ukooQQQlQMiqJwZHsY5w9EggqeG1CPOq1dC7S5s2ULtz6YC4DdoEE4TX6vXAeLxKxExu0fx+m40xiqDJnVZhY9a/XUd1milD1wIDpw4EApliGEEKKiURSFkB1/cO7XSADa969LvTYFw1DCxo26vcns3n4bp3fL96KL4cnhjNo3iojUCKyMrFjSfgmtXVvruyxRBh5qYUYhhBAC/glDZ37J3/i6Xd861G9bcKJxwtq1ul3r7YcOxXG8f7kOQ6Gxofjv9yclJwV3S3c+7fApNW1r6rssUUYkEAkhhHgoRYWhBs+6F2gTv2oVt5ctB/7etX70qHIdhr7/83tmhcwiT5tHQ8eGLG+/XDZorWQkEAkhhHhg9wtDiqIQ/8knxK9cBYCj/zgchg/XS60PQqtoWXF6BZ+f/xyAztU6M+/peZgamuq5MlHWJBAJIYR4IA8ShuI+/pg769YD4PTuJOwHD9ZLrQ8iMy+T94+8T/CNYACG+AxhdJPRqFUPvYmDeAJIIBJCCHFfiqJw9H9/cHZfMWFIq+XWvPkkbtkCgPO0qdi9+aZean0QtzNuM/bXsVxIuICh2pDZbWbzUs2X9F2W0CMJREIIIe5JURQOB4Vxfn/+1WSFwpBGQ2xAAEnb/wcqFS4BAVTp01tf5d7XlTtXGPPrGGLTY7E1sSWwfSDNnJvpuyyhZxKIhBBCFEvRKhzaeo0Lfy+62L5fXeo//c/VZEpeHtFTp5Hyww+gVuM6fx62PXvqr+D72HdzH1MPTyUzL5Pq1tX5tMOnVLWuqu+yRDkggUgIIUSRFK3Cga+vculw9N+LLtalXpt/haGcHKImvUvq3r1gaIj7xx9h/fzzeqy4eIqisO7COpadWgZAG7c2fNTuI6yNZbNukU8CkRBCiEK0WoUDX17h8t8btXYYWHAFam1mJpFjx5F++DAqIyPclwVi9dxzeqy4eDmaHAJCAvjhrx8AeKPuG7zX4j0M1fIVKP4hPw1CCCEK0Gq07PviMteO38oPQ4PqU6fVP3uTadLSiBw+gozff0dlZobHik+wbNtWjxUXLz4zHv/9/py9fRYDlQFTWk7h9bqv67ssUQ5JIBJCCKGj0Wj5Zf0l/jgZh1qtotNg7wK71muSkrg5ZChZ58+jtrTEc81nmDdtqseKi3c54TJj948lNj0WK2MrPm73MW3c2ui7LFFOSSASQggBgCZXy561Fwg/G4/aQEWXIQ2o0dhR93ze7dvcHPwO2deuYWBri+fatZg18NZjxcULvhHM+0fe102e/uS5T6huU13fZYlyTAKREEII8nI17F5zgRvnEzAwVPP8sAZU93HQPZ8TGcXNwW+Te+MmBo4OVFu/HpPatfVYcdG0ipbPzn3GyjMrAWjr1pZF7RbJ5GlxXxKIhBCiksvN1rBr1TkiryRiaKSm28iGeNaz0z2f/eef3Hx7MHm3bmHk4UHV9eswrlr+LlXPyM1g+tHpupWn+9frz8TmE2XytHgg8lMihBCVWHZmHj+tOEvMn8kYmRjwwqiGuD9VRfd85sWLRLwzBE1iIsa1alJ13TqMnJ31WHHRotKiGPvrWK4lXsNQbciM1jPoVbuXvssSFYgEIiGEqKSy0nL5fvkZbt9MxcTckO5jGuHiZaN7PiM0lIgRI9GmpWHaoAGen6/BsEqVexxRP0JjQ5lwYAJJ2UnYm9oT2D6Qxk6N9V2WqGAkEAkhRCWUnpzN98vOcCc6HVNLI14a1xhHTyvd86m/7idq/HiU7GzMW7TAY9VKDCwt9VhxYYqisPXqVhadWESekkd9+/osa78MFwuX+79YiP+QQCSEEJVM6p0svgs8TXJcJuY2xvQY1wQ7Nwvd80nffkvM+9NBo8GyfXvcly5BbWqqx4oLy9HkMPe3uez8YycAXb26MrvNbMwMzfRcmaioJBAJIUQlknQrg+8CT5OWmI2lnQk9/Jtg62Sue/7Opk3cWrAQAJuePXGd+wEqw/L1VRGXEcf4/eM5F38OtUqNf1N/BnkPQqVS6bs0UYGVr59yIYQQpSY+Mo3vl50mMzUXW2dzXhrXGCu7/J4fRVG4vXw5CatWA2A3cCBOk99DpVbrs+RCzsSdYfyB8cRnxmNlbMVHz35EW/fyuUq2qFgkEAkhRCUQ+1cyP644S3ZGHg6elrw4pjHm1sYAKBoNsbPnkBQUBICjvz/2w4aWux6X7de2M//4fPK0edSyrcXy9svxtPbUd1niCSGBSAghnnARV+6wa9V58rI1uNSwofvohpiYGwGgzc4metIkUoN/AbUal5kzqfJ6Hz1XXFCOJof5x+ezI2wHAJ2qdWJu27mYG5nf55VCPDgJREII8QT783Qce9ddRJun4FmvCl2HN8TIxAAATUoKkSNH5W/SamSE2+KPse7cWc8VFxSbHsvEAxM5F38OFSrGNh3L4AaDy13vlaj4JBAJIcQT6tLRaA58eQVFgZpNHOn0tjcGRvlzgnLj4ogYMpTsq1dRW1ri8emnWLRqqeeKCzp56yQTDkzgTtYdrI2tWfTsIpkvJEqNBCIhhHgCnd57k5Bv/gCgXltX/PrVRa3O71XJ/iuciCFDyI2KwsDBgaqfr8G0Xj19lluAoih8eflLFv++GI2i4akqTxHYPhBPK5kvJEqPBCIhhHiCKIrCb9/9xandNwBo0qkqvr1q6oaYMs+cIWL4CDRJSRhVq0rVtWsx9iw/QSMjN4OAkAB+vv4zkL++UIBvgMwXEqVOApEQQjwhtBotB766yuWjMQD4vlyTpl2q6Z5P3b+fqPETULKyMPXxwXP1Kgzt7fVVbiE3Um7gv9+fP5L+wFBlyKQWk+hbt6/MFxJlQgKREEI8AfJyNOxdd5Hws/GoVODXry71n3bTPZ+4fTuxswJAq8Xi2WfwWLoUtYVF8QcsY/tu7mP6kemk5abhYObA4naLaercVN9liUpEApEQQlRw2Zl57Fp5juiwJAwM1XR+x5sajR2B/CG0+BWfEv/ppwDY9OqF6+wAVEZG+ixZJ0+bx/LTy9lwYQMATZyasLjdYhzNHfVcmahsJBAJIUQFlp6czQ+fnCUhMg1jUwO6jWyI+1P5O9IrubnEzAog+ZtvALAfPgzHcePKzRBUfGY87x58l99v/Q7AgPoDGN9sPEbq8hHWROUigUgIISqopFsZfL/8DKkJWZhZG/PimEa6Hes1aWlEjfMn/ehRMDDIX3CxT289V/yPU7dOMengJG5n3sbc0Jw5befQpXoXfZclKjEJREIIUQHFhifz06fnyErLxdrRjJfGNsLGMf9KrNxbcUQMG0b2lSuozMxwX7oEKz8//Rb8N0VR2HRxE4GnAtEoGmra1GRp+6V42XjpuzRRyUkgEkKICubGhQR2rzlPXo4Wp2pWvDCqkW5fsqyr14gYPpy8mBgM7O3xXL0aM58Geq44X0pOCtOPTGd/xH4Aunl1Y5bvLLmkXpQLEoiEEKICuXIshl83X0HRKlStb0eXoQ0wNs3/VZ4eEkLk2HFo09Iwrl4dz8/XlJs1hi4lXGLCgQlEpUVhpDZiSsspvPbUa+VmPpMQEoiEEKICUBSFkz/f4Pj3fwHwVCtnnhtQDwPD/K04knbsIGZWAOTlYda8GZ4rVmBga6u/gv+mKArbr23nwxMfkqPNwd3SncV+i/G299Z3aUIUIIFICCHKOa1Gy8Gt17h0OBqAJp2r4tuzJiq1CkVRuL18OQmrVgNg3b07rvPnoTY21mfJAKTnpjM7ZLZu1Wk/Dz/mPj0XGxMbPVcmRGESiIQQohzLzdawd+0Frp9PABU82+cpfPw8ANBmZxMz7X1SfvoJAPsRw3EcO7ZcDENdvXOViQcnciPlBoYqQ/yb+fNm/TfLRW1CFEUCkRBClFMZKTn89OlZ4m6kYmCkpvPgfxZczLtzh8jRY8g8dQoMDXENmIXtq6/queL8IbL/hf2PhccXkqPNwcXChY+e/YjGTo31XZoQ96TWdwEPY8GCBahUKvz9/XWPKYpCQEAAbm5umJmZ4efnx8WLFwu8Ljs7mzFjxuDg4ICFhQUvvfQSkZGRZVy9EEI8uMTYdHYs+p24G6mYWhjRc3wTXRjK/usvrvd5ncxTp1BbWVH18zXlIgyl5aQx+dBk5hybQ442h2c9nmV79+0ShkSFUGECUWhoKGvWrKFhw4YFHl+0aBFLlixhxYoVhIaG4uLiQqdOnUhNTdW18ff3Z+fOnWzdupUjR46QlpZG9+7d0Wg0Zf02hBDivqLDEtmx6CQp8VlYO5jyynvNcKmRP+8m/bffuP76G+RGRGDk6Un1bVux8PXVc8VwMeEivX/szc/Xf8ZQZcj4ZuP55LlPsDW11XdpQjyQChGI0tLS6NevH59//jlVqlTRPa4oCoGBgbz//vv06tWLBg0asGnTJjIyMvjqq68ASE5OZt26dSxevJiOHTvSpEkTvvzyS86fP88vv/yir7ckhBBFuhYay3fLzpCdkYezlzWvvNccW+f8dXoStwVx850haFNSMGvShOrbtmJSo4Ze61UUhS2Xt9B/V38iUiNwtXBlw/MbeLvB26hVFeIrRgigggSiUaNG8cILL9CxY8cCj4eHhxMbG0vnzp11j5mYmNCuXTtCQkIAOHnyJLm5uQXauLm50aBBA10bIYTQN0VROLn7OsHrLqHNU6jRxJGe45tgbm2MotFwa8ECYmfNgrw8rLt3p+rGDRja2em15qSsJMbuH8vCEwvJ0+bxnOdzbH9RhshExVTuJ1Vv3bqVU6dOERoaWui52NhYAJydnQs87uzszI0bN3RtjI2NC/Qs3W1z9/VFyc7OJjs7W3c/JSXlkd+DEELciyZPy8GvrnI5JAaARh09adurFiq1Kn9PsokTST94CADHcWOxHz5c71drhcaGMuXwFOIy4jBSGzGx+UT61u2r97qEeFTlOhBFREQwbtw49u7di6mpabHt/vsPUFGU+/6jvF+bBQsWMHv27IcrWAghHlJWei6715wn6moSKhU83fspGrbPv6w+JzKSyBEjyQ4LQ2VigtvCBVh37arXevO0eaw5t4bPzn2GVtFS3bo6i55dRD37enqtS4jHVa6HzE6ePElcXBzNmjXD0NAQQ0NDDh48yPLlyzE0NNT1DP23pycuLk73nIuLCzk5OSQmJhbbpihTp04lOTlZd4uIiCjhdyeEqOySb2ewY9FJoq4mYWRiQLeRDXVhKCM0lOuv9SY7LAxDR0eqfblZ72EoJi2GwXsGs+rsKrSKlh41e7Ct+zYJQ+KJUK4DUYcOHTh//jxnzpzR3Zo3b06/fv04c+YMNWrUwMXFheDgYN1rcnJyOHjwIG3atAGgWbNmGBkZFWgTExPDhQsXdG2KYmJigrW1dYGbEEKUlJg/kvjfhydJupWBZRUTer3bjOo+DgAkBgVx46230SQmYlq/PtW3B2Hm46PXevde38srP7zCqbhTmBuas+CZBcx9eq5szCqeGOV6yMzKyooGDQru0mxhYYG9vb3ucX9/f+bPn0/t2rWpXbs28+fPx9zcnL59+wJgY2PD4MGDmThxIvb29tjZ2TFp0iR8fHwKTdIWQoiycPW3GH798graPAXHqla8MKohFjYmKHl53PpwEYmbNwNg3a0rrvPmoTYz01utGbkZLApdxI6wHQD4OPjw4TMf4mldPjaNFaKklOtA9CDee+89MjMzGTlyJImJibRq1Yq9e/diZWWla7N06VIMDQ3p3bs3mZmZdOjQgY0bN2JgYKDHyoUQlY2iVfjt+784tTv/oo8aTRzpOKg+RiYGaJKSiJowkfS/r34tD5OnLydc5r1D73E95ToqVAz2GczIxiMxUhvprSYhSotKURRF30VUBCkpKdjY2JCcnCzDZ0KIh5abreGXDZf468xtAJo9X41WL9VApVaRHRZGxMhR5EZEoDI3x+3DhVh36qS3WrWKlo0XN/LJ6U/I0+bhZO7EgqcX0NK1pd5qEuJRPej3d4XvIRJCiPIuLTGLn1aeIz4iDbWhiuf616VOa1cAUn/5hej3JqPNyMDI3R2PlZ9iWqeO3mqNTY/l/SPvcyL2BAAdqnYgwDdAVpwWTzwJREIIUYpi/0pm1+rzZKbkYGppRLfhPrjWskXRaolfuYr4FSsAMG/VCvfApRj+Z820srTn+h5mH5tNak4qZoZmTGk5hZdrvSxrC4lKQQKREEKUkiu/xbD/78nT9u4WdBvREGsHMzRpaURPmULaL/sAqDJgAM7vvYvKSD9zc1JzUllwfAE//PUDAA3sG7Dw2YVUs66ml3qE0AcJREIIUcK0WoXfdv7J6eCbAHg1cqDjW/UxNjUk+69wIkePJuevv1AZGeESMAvbV17RW62/x/7O+0feJzo9GrVKzeAGgxnReIRMnBaVjgQiIYQoQdmZeQSvu8iNCwlAwcnTqb/+mj9fKC0NQ2dnPJYvw6xRI73UmaPJYcWZFWy8sBEFBQ9LD+Y/M58mTk30Uo8Q+iaBSAghSkhibDq7Vp0n6VYGBkZqnnuzLk+1cEHRarm9YqVuvpBZ82Z4BAZi6OCglzqvJV5j2uFpXE28CsDLtV5mcsvJWBhZ6KUeIcoDCURCCFECrp+PJ3jdRXKyNFhWMaHrcB+cqlmjSU4m+r3JpB08CECV/v1xnvyeXuYLabQaNl3axIrTK8jV5lLFpAqz2syiQ9UOZV6LEOWNBCIhhHgMiqJwas8NfvvuL1DAtZYNzw/1wdzamKwrV4gcMzZ/fSETE1wCArB9uade6oxIjWD6kemcijsFgJ+HH7PazMLBTD+9VEKUNxKIhBDiEeVk5fHrF5f581T+Yovez7rzTO/aGBiqSf7+e2JmzkLJyspfX+iT5ZjWr1/mNSqKwvZr2/n494/JzMvE3NCcKS2n0LNWT7mcXoh/kUAkhBCPIOlWBj9/dp470emoDVQ80+cpGjzrjjYnh9g5H5L41VcAWDzzDO4fLcLA1rbMa4xNj2VWyCxCovO3A2nm3Iy5befiYeVR5rUIUd5JIBJCiId0/Xw8wesvkZOZh7mNMV2H+eBSw4bcqCgix08g69w5ABxGjsRh1EhUZbxvoqIofP/n93x44kNSc1MxMTBhbJOx9K/fH7VKXaa1CFFRSCASQogHpGgVfv/5Oid+DAcFXGrY8PywBljYmJB2+DDRk95Fk5yM2sYG90UfYtmuXZnXeDvjNnN+m8OBiANA/u70c5+eSw2bGmVeixAViQQiIYR4AFnpufyy8RI3zuevL9TgWXee7l0btUrh9icriF+5EhQFU29v3Jctw9jDvUzrUxSFH//6kYUnFpKSk4Kh2pBRjUcxyHsQhmr5VS/E/ci/EiGEuI/4yFR+Xn2elPgsDIzUtHvjKeq1cSMvPp6I994jPeQYALav98F56lTUJiZlWt9/e4Xq2dXjg7YfUMdOf5vEClHRSCASQoh7uPJbDAe2XEWTq8XK3pSuw3xwrGpF+okTRE+cRN7t26jMzHANmIVNjx5lWltRvULDGw7nbZ+3ZesNIR6SBCIhhChCXq6GI9v/4OKhKACqetvR6W1vTMwMiF/9GbeXLwetFuNaNfEIDMSkVq0yrS82PZYPfvuAQ5GHAOkVEuJxSSASQoj/SInPZPeaC9y+mQoqaNGtOi1e8EKTlEiE/xTSDx8GwKZHD1xmzURtbl5mtSmKwjdh3/Dx7x+TlpuGkdqIEY1GMKjBIOkVEuIxSCASQoh/CT8Xz76Nl8jOyMPUwoiOb9enmrc96cdPED3p7yEyExNcZs7AplevMl3cMCI1gtnHZnM85jgADR0aMqftHGra1iyzGoR4UkkgEkIIQKvRcvz7cE7tuQGAs5c1XYY0wNLGiNsrPs2/ikyrxbhmTdyXLMG0zlNlVptGq+HLy1+y4vQKsjRZmBqYMrrJaPrX64+BumzXOBLiSSWBSAhR6aUlZrN33QVi/kgGoGF7D9q8UgttQjw333qXjBMnALDp1QuX6e+X6RDZtcRrzDo6iwsJFwBo6dKSWb6zqGpdtcxqEKIykEAkhKjUblxM4JcNl8hKy8XI1ID2/etSu7kzqfv3EzN1GpqkJFTm5vlXkb30UpnVla3JZs25Naw/v548JQ8rIysmNp9Ir9plO0wnRGUhgUgIUSlpNVpO/BDOyd35Q2QOnpZ0GdIAaxsDYufNJ3HzZgBM6tXDffFiTGp4lVltobGhzDk2h+sp1wFo79me6a2n42TuVGY1CFHZSCASQlQ6qXeyCF5/UTdE1qCdO21frYUm4gbXh04k+8oVAOwGvonjxImojY3LpK7k7GSWnFzCN2HfAOBo5si0VtPoULWD9AoJUcokEAkhKpW/ztzm1y8uk52Rpxsiq9XMiaRtQdxauBAlKwsDOzvcFswvs73IFEXh5/CfWRS6iISs/K1Bej/Vm3HNxmFtbF0mNQhR2UkgEkJUCppcLUe/+YPz+yMBcKpmRed3vLEwzCZyzBjSftkHgEUbX1wXLsTIqWyGpyJSIph7fC4h0SEAeNl4EeAbQFPnpmVyfiFEPglEQognXmJsOnvXXSQ+Ig2Axh09ad2zJlknfiN88hTybt8GIyOcxo/HbtBAVGp1qdeUq8ll48WNfHbuM7I12RirjRnacChvNXgLY4OyGaITQvxDApEQ4omlKAqXQ2I4vO0aeTlaTC2M6DCoHlWfsuL2xx9xZ+NGAIxr1MD9448wrV+/TOoKjQ1l7m9z+Sv5LwBaubZiRusZVLOuVibnF0IUJoFICPFEys7IZf+XV/nzVBwA7nWq0HFQfQzjrnP91bfJDgsD/t6hfvJk1GZmpV5TQmYCS04u4fs/vwfAztSOd1u8ywteL8ikaSH0TAKREOKJE/1HEsHrL5J2Jxu1WkWrHjVo/Jw7iV9sIjJwGUpuLgb29rh+8AFWz7Uv9Xo0Wg07wnYQeCqQ1JxUVKh47anXGNt0LDYmNqV+fiHE/UkgEkI8MTQaLaE/5G+/oShg7WhG58HeVDFMJeLtt8kIDQXAsn17XOd+gKG9fanXdCH+AvN+m6dbabqeXT2mt55OQ8eGpX5uIcSDk0AkhHgiJN3KIHj9ReJupAJQt7ULT/epTeau7wmfvwBtejoqc3Ocp0zG9rXXSn2IKikrieWnl/O/a/9DQcHSyJJRjUfxet3XMVTLr14hyhv5VymEqNAUReHSkWiObA8jL0eLibkhfv3qUr2qipgJ40jbvx8AsyZNcFu4AONqpTtxWato2Rm2k8BTgSRlJwHQvUZ3JjSbgKO5Y6meWwjx6CQQCSEqrIyUHPZvvsz18/mLGeZPnK6H9vhB/hoVkL8PmZERjuPGYvfWW6gMSndn+PO3zzP/+Hzd8Fgt21q83+p9mrs0L9XzCiEenwQiIUSF9Nfp2+zfcoWstFzUhipav1STBs0siftgGim7fgbApG5d3D78ENM6T5VqLQmZCSw7tYydf+wEwMLIghGNRtC3Xl+M1Ealem4hRMmQQCSEqFCyM/M4su0aV36LBcDew5JOb9XH6NIxwl+ajSYhAQwMsB86BMcRI1CV4j5kudpctl7Zyqozq0jNzZ+79FLNlxjfbDwOZg6ldl4hRMmTQCSEqDAirtzh1y8uk3YnG5UKmnSuRtOnbYn/cDZxP/4IgEntWrguWIhZA+9SreVo1FE+DP2Q8ORwIP/qsWmtptHYqXGpnlcIUTokEAkhyr3cbA3HvvmD8wejALB2MKXDoPpY/nGcGz0/yO8VUquxf+cdHEaPKtXd6W+m3OSj0I84EHkAgComVRjbdCwv13oZA3XpzlESQpQeCURCiHIt+o8k9m26TMrtTAAatHOn5bO2JHw4i6i9e4G/e4XmzcOsYemt7ZOSk8Kas2vYcmULedo8DFWGvF73dUY0HiE70gvxBJBAJIQol3JzNBz/9i/O7o8ABSyrmNB+QF1swo4Q0WsBmuRkMDTEYehQ7IcPK7VeoTxtHt+EfcOK0ytIzE4EoK1bW95r8R41bGuUyjmFEGVPApEQotyJDktk3xdXdL1Cddu40qqNBXcWTiH6yBEATOrXw23ePEzr1Su1OkKiQ/j4948JS8zf98zLxot3m7/LMx7PlNo5hRD6IYFICFFu5GZrOPbtn5zfHwnk9wr5vfEUVmd+JrL3MpSMDFTGxjiMGoX922+hMiqdS9r/TPqTj3//mCNR+eHL2tiakY1H0rtOb7mMXognlAQiIUS5EHH5Dge2XCElPguA+m1dadZIRcK80dw6ew4A8+bNcflgDiZeXqVSQ0JmAivPrGRH2A40ikY3T2hYw2HYmtqWyjmFEOWDBCIhhF5lpedydMcfXAmJAcDSzgS/12pg9utXRPXdCHl5qC0tcZo0Cdver6FSq0u8hsy8TDZf2sz6C+tJz00HoEPVDoxvNp5q1qW71YcQonyQQCSE0Js/T8dx6OtrZKTkgAp8/DzwcYoj4b2BZEREAGDVqRPO09/HyNm5xM+v0Wr47s/v+PT0p8RlxgHgbe/NpOaTZLsNISoZCURCiDKXlpjFoa3XCD8bD0AVF3OefdEF1defEvv3AouGLi64zJyB1XPPlfj5FUXhcNRhlp5cyh9JfwDgbunOuKbj6FK9C2pVyfdCCSHKNwlEQogyo9UqXDwUxbFv/yQ3S4NaraJJZ09qph7nzvCxaFNTQaWiSv/+OI4bh4GlRYnXcCbuDEtPLuVU3Ckgf8L0sIbDeL3u6xgblN6CjkKI8q1c/xm0YMECWrRogZWVFU5OTvTs2ZOrV68WaKMoCgEBAbi5uWFmZoafnx8XL14s0CY7O5sxY8bg4OCAhYUFL730EpGRkWX5VoSo9BKi0vjmo5Mc2nqN3CwNzl7W9Ohjh/OXU4mfNxdtaiqm3t5UDwrC5f1pJR6G/kr+C//9/gz4eQCn4k5hYmDCW95vsavXLt70flPCkBCVXLkORAcPHmTUqFH89ttvBAcHk5eXR+fOnUlPT9e1WbRoEUuWLGHFihWEhobi4uJCp06dSE1N1bXx9/dn586dbN26lSNHjpCWlkb37t3RaDT6eFtCVCq52RpCvvmDoHmh3ApPwcjUgKd7etI262eSR/Ql68IF1JaWOM+YTvWgbZj5NCjR88ekxTDj6Axe/u5l9t3ch1qlplftXvz48o9MaD4BGxObEj2fEKJiUimKoui7iAd1+/ZtnJycOHjwIM8++yyKouDm5oa/vz+TJ08G8nuDnJ2d+fDDDxk2bBjJyck4OjqyefNm+vTpA0B0dDSenp7s2rWLLl26PNC5U1JSsLGxITk5GWtrWaZfiAcRfi6eQ1uvknYnGwCvRg40tv6TtE8/RnPnDgDW3brhNGUyRk5OJXruhMwE1p5fy7ar28jV5gLQ3rM945qOo6ZtzRI9lxCi/HrQ7+8KNYcoOTkZADs7OwDCw8OJjY2lc+fOujYmJia0a9eOkJAQhg0bxsmTJ8nNzS3Qxs3NjQYNGhASElJsIMrOziY7O1t3PyUlpTTekhBPpNQ7WRze9s+kaSs7U1q3McV483ySz54FwLhmTVxmzMCidasSPXdKTgpfXPyCzZc2k5GXAUBLl5aMbTqWRo6NSvRcQognR4UJRIqiMGHCBJ5++mkaNMjvUo+NjQXA+T+X4zo7O3Pjxg1dG2NjY6pUqVKozd3XF2XBggXMnj27JN+CEE88Ta6WM/tu8vtP18nL1aJWq2j4jCNVL39D2rtbyVQUVObmOI4ahd2A/qhKcP+xjNwMtlzewoaLG0jNyR8y97b3ZmzTsfi6+qJSqUrsXEKIJ0+FCUSjR4/m3LlzHPl7H6N/++8vOkVR7vvL735tpk6dyoQJE3T3U1JS8PT0fMiqhag8Ii7f4dDWayTdyu+Vca1pTWPrP8ldOoW0v3tYrbt1w2nyeyW6plBmXiZBV4NYd36dbvPVWra1GNV4FB2qdpAgJIR4IBUiEI0ZM4bvv/+eQ4cO4eHhoXvcxcUFyO8FcnV11T0eFxen6zVycXEhJyeHxMTEAr1EcXFxtGnTpthzmpiYYGJiUtJvRYgnTuqdLI7+7w/+PJW/sKGZlRHNG6uw2PYB2deuAWBSty4u70/DvEWLEjtvVl4W/7v2P9ZdWEd8Zv7QXFWrqoxsPJLnqz+PgdqgxM4lhHjyletApCgKY8aMYefOnRw4cACv/+xf5OXlhYuLC8HBwTRp0gT4f3t3GmVVeed7/LvPXOOpeR4oBGVWAXEiBIMhUaKSNtE4YtRr7MSBmHQ0ndyVTm4Uu3t1ks5ard1JJyQ3ttEbMU4hRlRAEQUFSigKrAIKajo1nJqHU2faz32xz1hVYAE1Uv/PWnvt6dn77PNQxf7VHp4HfD4f27dv55//+Z8BWLJkCVarlS1btnDTTTcB4HK5qKio4F/+5V/G9wsJcQ4J+IPse6OWva+fIODX0TSYt8RJyb5n8P6f1/EBZqeT7PUPk3bTTWjm0Qko3qCXTVWb+O8D/02rpxUwGlW8b9F9XH/e9VhMk/q/NSHEJDWp/+f41re+xbPPPsvLL79MSkpK5Jkfp9NJQkICmqaxfv16nnjiCWbPns3s2bN54oknSExM5NZbb42Uveeee/jOd75DZmYmGRkZfPe732XhwoVcffXVE/n1hJiSlFLUfOzmvReqIx2x5pclM9+/G/3ff4XX7wezmfSvfY2sB76FZdDze2dqIDDApupN/PbAbyPdbOQn5XPfovu44bwbsJqlF3ohxJmb1IHo6aefBmDlypVxyzdu3Mhdd90FwPe+9z08Hg/f/OY36ejo4NJLL+WNN94gJSUlUv7nP/85FouFm266CY/Hw6pVq/jd736HeZT+YhViumhr6GXHn6qpP2w8q5OUZuPC/BYSn//f6KHX6JOWLyf3sUexz5o1Kp/pCXh4oeoFflvx28itsdzEXO5bdB9fnvVlCUJCiFExpdohmkjSDpGYzjy9Pna/UsPBdxtQCkwWjfnnK3Lf+CX6EaP1eFtZGbmPPUrSihWj8iBzn7+P5z95nt8f/D3tA0bYyk/K596F97J21lppWVqIc4l/AJorIG8RWEb3d/ucbIdICDG+ggGdiu0NfPiXGrz9AQBmzHJQdvCPaE+9iQ6Y09LIeuAB0m++Cc169ldrurxdPHv4WZ6pfIZun/F2WmFyIfcuvFdujQlxLtB1aKuGhj3RoakCdD/8r7ehcMmEHJYEIiHEEEopjpW38v6LR+lq9QCQmWtnbvc72P77/wKgWa1krLuTzG98A3PMLeoz5fa4eabyGZ775Dn6/Eb3PKWppdy78F7WzFyD1SRBSIgpRynoqofGvaHwsxdcH4N3mMaOEzOht2X8jzFEApEQIk5zTTfvbarGdcRoGT4xxcJcazXOF38Jfh8AqWvWkP3t9dhimsE4Uw29DWys2MhLR17CGzRah5+dPpv7Ft7H50s/L6/PCzGV9LZC475QANprjPtah5azJEDBRcbVoMLFULgU0kpgAtsNk0AkhACgq9XDrpePUv2R8ReaxWri/IxWcl7/d0xdbQAkXn4ZOd/5LgkL5p/151V3VLOxYiObazYTVEZHy4uyFnHPwntYWbwSkzap+54WQng6oLE8GoAay6Grbmg5kwVy5oWCzxIoWAzZc8A8uSLI5DoaIcS48/T4+HDzcQ6+04AeVKBBWU4/Rdufxtp0DDAaVsz5zndIWn7lWT0wrZTio+aP2FixkXcb3o0svzz/cu5deC+X5F0iLUsLMRkNdBm3uiIBaB901AxTUIOs2UboKVxsjPMWgDVhvI/4tEkgEmKa8g0E2P92HXvfqMU/YFyhyc8KMGPv70nYuhcAa3Ex2Q89ROqaa9FMZ37FJqgHebvubX5X8Tv2u/cDYNJMXF1yNXcvuJv5WWd/xUkIMUpiw4+r3Bi3Hx2+bHqZcesrHIDyFoFjar6JLYFIiGkm6Nc5uKOBjzYfx9PjByDDqXNe1SZStm0DwJydRfY3v0najTeeVQes/f5+XjryEn+o/AP1vfUA2Ew21s5ay7r56yhJLTnr7yOEOAv97Ub4cX0cDT/DXvkBnCVQcKERfgouhvwLITFjPI92TEkgEmKa0HVF1a4mdr9aQ0+70cJ0SjLMrHudjG2voaEwOZ1k3nMPGbffhikx8Yw/q7W/lT8e/iPPf/J85NV5p93JTeffxK1zbyUrIWtUvpMQ4jT0tkSDTzgEddYOXzYcfvIvCoWfiyApcxwPdvxJIBLiHKd0xdF9rex+9RgdTUZP9AkOmNm6neztL2BSOqbkZDLuuouMdXee1Sv0lW2VPFP5DH89/lcCutFuUXFKMXfOu5Prz7ueROuZhywhxAgpBZ0nwLUfmvZHxz2u4cunzzACT/6i0Piicz78DEcCkRDnqHCfY7tfraGtoRcAmw3K2neS987/w6z70RITybjtVjLuvvuM+xwL6kG21W3jD4f+wJ7mPZHlF+dczLp561hZvFJenRdirAQD4K6KDz5N+43ngIYIPfCcf6HxrE/BRZC3EBJGp7/BqU4CkRDnGKUUJyra+PC1GlpO9ABgtShKuz6i4N3nsAQHQkFoHRlf/zqWjDN7BqDL28WL1S/y3OHnaOxrBMCiWVg9YzV3zLuDBVkLRu07CSEAbw80V0ZDT9MBYz7UflcckxVy5hpXffIuNMa5C8CePP7HPUVIIBLiHKGU4sSBNj78SzQImc2K0s6PKPz4T1gDfaEgdO9ZBaGqjir+ePiPvHb0NQaCxrNIafY0bpx9I7fMuYXcpNxR+05CTEtKQXeD0Z1F0wFoPmCM248NX96WYrzanrcoFIAWQvbcUe8T7FwngUiIKU4pxfH9bj78y3Faa0NByKQo7viIoooXsPl7MSUlkX7PN8i4a90Z3Rrz637eOvEWfzz8R/a27I0svyD9Am6bexvXlF2Dw+IYte8kxLThH4DWw9B80OjctCkUfgY6hy+fkm8En7yFxpC/CNJmwFk0iyEMEoiEmKJ0XXF0bwt7/nqctgaj7y+LSaeo9QOKDr9sBCGnk4w7HyDj9tsxO52n/RlNfU1sqt7EC1Uv4Pa4ATBrZj5X8jlum3sbi3MWS0OKQoyEUtDdGA0+4bG7GkIttccxWSDrgtCVn4XG7a68hZAkb2iOFQlEQkwxwaBO1a5m9v7tBJ3NxltjFlOQItcOio5sxubvxZydRea6b5D2ta9hTj69ZwZ0pfN+4/s8/8nzbK/fjq50ALISsvjK+V/hK7O/IrfFhDgVby+0HIKWg6HgU2lMezqGL5+QHg08uQuMEJQ9Byz28T3uaU4CkRBThN8bpHJHI+Vv1tLbYTxEadX8FNW9TdHxLVgDHqzFxWTe812cX16LyX56/5m6PW5eOvISL1S9QENvQ2T50tyl3HzBzawqWYXVLD3OCxERDBgtODcfhJZKI/g0VxivvA9HM0PW+ZA7PzSEwk9K/oR2aioMEoiEmOQGev3s31bP/q11ePuMtn3sDFB07HUKG97BEvRinzeXzLvvIfWLX0CzjPzXOqgHed/1PpuqNrGtbhsBZew/xZrCDbNu4Kvnf5WZaTPH4msJMXUoZXRa2nIoGnxaDoH7Ewj6ht8mOdfo0DQcfHLnyVWfSU4CkRCTVFdrPx+/WcehnS4CfuO2VaLeTXH1a+Q178KsB0havpzMe+4m8bLLTutZnsbeRl4+8jIvHXkp8so8wIXZF3Lj7Bv5YtkXSbBM/s4YhRhVSkFvsxF6Wg4b49bDxrSvZ/htrEmQMycafsJjedZnypFAJMQk03Ssi/IttRwtbwVlLEsdcFF8dDM5rfvQrBac111Lxte/jmPOnBHv1xv08nbt2/y5+s984PoAFdp5qi2V6867jhtn38js9Nlj8ZWEmFyUgr5W4ypP6+H48cne7jJZjUYNs+cYV3ty5hvt/KSVyhte5wgJREJMAsGgzrF9rex/u46mY92R5Zmdhyg+/gbpnVVYnE7S7r+P9FtuxZqbM6L9KqWocFfw8tGX2VyzmZ6Yv3IvzbuUL8/+MqtKVskr8+LcFL7i03oYWj+JXu1pPQye9uG30UyQMdMIPjnzQld/5kPmeSDP0J3TJBAJMYEG+vxU7mjkwLb6yIPSJhUkt2kXxXVvk9zvwnbeeWSs/xHOG27AlDCy21jNfc38peYvvHzkZY51RRtzy03MZe2staydtZailKIx+U5CjDtdN57xaf3EeK6nNWbwDteFBYBm9OGVMzcUfkLjrPPBKn8gTEcSiISYAO76Hg5sradqd3Pk+SBboI/Cum0UNr6LLdBL8sqVZNzxUxIvv3xEzwf1+ft488SbvHrsVXa7dkduiTnMDlaVruKG825gWd4y6VdMTF0Br9Fac+snRv9d7ipjuu0I+PuH3yZ8xSfrAuNqT/YcyL4gFHzkOTkRJYFIiHESvi12YFs9riPRv1qT+xoorn2L3JY9WFKTSLvtRtJvvQVbScmn7tOv+3m/8X3+cuwvbK3biifgiaxbnLOY68+7ntUzVpNiO/Me7IUYd/3tRoOF4dATnu44PnwjhmA845M5ywg74cCTMxcyzpMrPmJEJBAJMca62zxU7mjk0Hsu+ruNV3Q1FSS7dR9FDe/g7DpKwvz5pD/0Y1KvveZTb4vpSqe8pZzNNZv52/G/0entjKybkTqDL838EmtmrpFbYmJyC/qNgOOuhrbq0PiIEXz6206+nS0Fss83Ak/W+aHwc4Fx+8sspzRx5uSnR4gxoAd1ag+2U/FuAycq2iJvi9l83RQ0vkth43s4zD5Sr72G9JufIGHRolPuTynFwbaD/LXmr/zt+N9o7m+OrMt0ZHJN2TVcU3YNC7MWSlcaYvIIP9TcdiQUdqqj0x3HQQ+cfNvUIuOtrqzZ0fCTdT6k5EkjhmJMSCASYhR1uz0c2uni0E4XfZ3eyPL09kMUNu4gq20/CefPJu2xh3Bedx3mlJPfylJKcaj9EG8cf4O/Hf8b9b31kXXJ1mRWlazi2pnXsixvGRaT/CqLCeTphLajRqvNbUeM6fD4ZO33AFgTjbe3MsOhJxSAMmeBLWncDl8IkEAkxFkL+IPUfOzm0HuN1B3uiFwNsvp7yWvaRWHjDpJNfaReey1pX3kMx6JFJ72KE74S9MaJN9hyfEtcCEqwJLCyaCVfLPsiVxZeid0sLd6KcTTQHQo8R40Hm9uPRUPQqW5xaSZIKzGe5QmHnfA4pUDa8BGThgQiIc6AUoqW4z0cet/FkQ+b8Xqil/7T2w9R4NpJtns/SYsvJO2e9aR+8QuYEhOH3VdQD7K3ZS9v177NW7Vv4epzRdY5zA4+U/QZVs9YzYrCFSRah9+HEKPC0xEKOzUx41AA6ms99bbJeUbIyTzPGMIBKH2GdFchpgQJREKchp72Aap2N/HJrmY6XH2R5faBdvKbdpHf9D4pGTbSvroW5w1PYCstHXY/A4EBPnB9wNa6rWyr20b7QLSRuARLAiuKVrC6dDXLC5dLCBKjR9eht8kIOh01MeNQ+DlZK81hSdlG0Mk8z3iVPWNmdNoubzKKqU0CkRCfwusJcHRvC1W7mmio6owsNwV9ZLeWk9/0AZn+BlI/fzXOtf9G4rJL0Ia5DdA+0M479e+wtXYr77vej3tFPtWWysrilVxdcjWXF1wuLUeLM+f3QGet8dBye40xDoefzhMQGDj19in5kF4WCjxloSEUehyp4/ENhJgQEoiEGIbfF+T4fjdHPmrhRIWbYEBF1qV1VJHXvJucjgOkXXEJzvvuI/mqq4a8Lq+Uorqzmu1129lev539rfsjjSUC5CXlcVXxVVxVfBVL85ZiNUm3AGIE9CD0uEJB54Qx7jwRne9tOvX2mhnSio1bWZHgEwo/6TPkYWYxbUkgEiIk4A9SV9nOkT0t1JS34vfpkXVJfS5ym3eR17KHjEWzSL3/GlK+8G9Y0tPj9tHn72OXaxc7Gnawo2FH3PNAAHMy5kRC0JyMOfKKvBhK16GvxbjK01kbCjsnouOuetD9p96HPRXSS43Akz4jOmSUgbNY+uQSYhgSiMS0FvAFqT3YzpG9LRz/uAW/L3oFx+Fxk9uyh9yWj8ialY3z9mtJ+cIP4zpWVUpR1VHFzsadvNfwHnta9hCIaVvFbrZzWf5lrChawYqiFeQl5Y3r9xOTUPgKT2ed0f9WOPhEpusg6D31PkwWI9ikzzCCT1ppfPBJSJe2eoQ4TRKIxLTj7fdz/EAbx8pbqD3gJhDTNpx9oINs9z5yW/aSOzsD5y2rSfn8eqz5+ZEybo+bD1wfsLNhJ++73sftccftvzilmOWFy1leuJxL8i4hwSL9JU0rvn7obggFnDrjik5kuha6G0/dICEYr6qnFhqvq6eVGIEnrSQaflILQPqkE2JUSSAS00JP+wDH97s5treZhuouVPRCEPaBdnJa95HTvp/8udmk3LKKlKsfilwJ6vX18l7dNna5dvGB6wOOdB6J23eCJYGluUu5ouAKPlP0GUpTh3+zTJwD9CD0NEUDT1dDaDoUerrqT90mT5jJEh94nMWh6WJj2lkkt7WEGGcSiMQ5SdcVLSe6Ob7fTc1HLtpbfXHrk/pcZLnLye2tIu+iGaTeeDXJK76H2ek0ngNq2cfuPc/woetDKtsr0VX0eSINjTkZc7i84HKuLLiSi3Iuwma2jfdXFKNND0JvixFwuhuMKzld9ca4u8EIPz2uk3cuGsuWbISacLiJBJ1iYzolX67wCDHJSCAS5wxPj4/aynaOlzdTd7ANb2wGUjrOrmNktR0g39RE7vILSf7GWhKXXUKP8lDeUs6e6t/wUfNHVLZVEhx00itOKeay/Mu4LP8yluUtI82RNq7fTZwlv8cINj0u6HZBT2Mo6ISXNRpXfkYSdjSzccvKWWRc5XEWDRqKweGUZ3iEmGIkEIkpK+jXcR3tpPagm9p9LtrcASB6ErIE+sloP0RWZyVFxTYyPr+MpOUP0pqfwEfujylv2cq+139GdUd13OvwAIXJhVySdwnL8pZxSd4l8jD0ZBX0G1d1epqMYNPjCk03hUJPaNmnNTgYppmNzkNTC6OhJyUfnIVGZ6POQkjOlas7QpyDJBCJKUMP6rTW9VJ/qI26fQ001Q8Q1GMbQNRI7qkjs72SXKubgsUlOL66jBPnX8F7fdXsd+/n44+fpeWDliH7npE6gyW5SyJDQXLB+H0xMZTfY/SSHg47vc2hcTjsNBvTfW4YFGZPypIAqflG2EnJNwJP7JBSAMk5EnaEmKYkEIlJKxjUcdf20nDYTf2+eprqvfj12JOVCZu3i4yOw2R6aymclUzw6hKOzDqf1y3JVLRVUNX8EoGm+Dd6LJqFuZlzuSjnIi7OuZiLcy4mKyFrfL/cdBT0GwGmt9noFysceHpbYqZDY2/XyPdrshhXbVLyjKCTkh+dTs2PLpPbWEKIU5BAJCYNnydAc003DQcaaahoptWtE1SxAciMxd9PWlc1GZ5a0vN1+ubbODhD45WEPg517jG6wzgWv9+shCwuzL6QRdmLWJS1iPlZ8+VV+NGgFPh6jXDT5w6NW6PzvS2h4BMae9o/fZ+xLA4j6CTnQkqu0XloZBwakvMgMVN6TBdCnDUJRGJC6Lqiw9VHc7Wbhn11NNf20eWxEn0GSMMIQL2kdR3D6avHmt1DY2kfO/N6eT+hHo8earyuLzQAiZZE5mXOY0HWAuZnzWdh1kIKkgqkReiRUAoGuozXxvvcxrjfHZ3uc4fmW6EvtO7T+sUaTDMbHYQmZxtBJynHuE2VnDt0LFd0hBDjSAKRGHO6ruhq6ae5qpXmA3U0H++hvcdCMO7Hz3ht3eFx4+yuwWFy0Z3exMHcBv60sIPmNOJPjroRfuZmzmVuxlzmZc5jbsZcypxlmOUZEOMVck+ncVWmv33ouL8tZjo03982sresBrMkGAEnMcsIM0lZRtBJyo6fT86BhAy5miOEmJQkEIlR5RsI0FbbTXNFHa3VrbQ1DdDpsQ0KP0ZP7ubAACm9tTi89fTZazmaVsUn5/VwLE/DY4+9MqCRk5jDnIw5XJB+ARdkXMAF6RdQklqCSTuHT65KGQ8XD3QZb0l5OoyQEzvt6RhmaDe2OVO2ZOM2VFKWEXISMyEp05gOL0sKD9nSGagQ4pwggUicEZ8nQNuJdloP1tN2zE1Hi4euXjP9KjGmlAkw5k1BH8m99Vh99fRZTtCYWkt1XjM1+dCZHA0/Tns6c5wzmZ02m1nps5idNpvZ6bNx2p3j+wVHg1Lg6wNvNwx0x4y7QiGny5iPTHcaY09ndD7o+5QP+RT2VKNfq8QM4+pMYoYRcCLTofnEUOBJzACLfRS+vBBCTC3TKhA99dRT/Ou//isul4v58+fzi1/8gs985jMTfViT1kCfn84TbjqqXXTUttHZ3Ed3l06vz45Xi30o2QKkROZs3k4S+xsJqgZ6bI00OOs4mt/CiVzoS9DQ0MhPymeG80quTZ3BDOcMZqXNYqZzJhmOjIl93kcpI4R4e8HXEwo0oWlvT2i6NzTdY4ScyHRPKPD0GKHH2wMxLVyfMc1sPE+TkA4JaeBIM8YJGaFxujE40qLBJ1xWun8QYlJRShHUFQFdoYemdR0Cuk5QRad1HYKh9eFBV8Z2wcGDUuh6dF24XHhZZJ1SBIM6QQVBXSeoDxqfbLuYIbofNeT4Aro+tOxJ5o1pfcjn/P7uZVw5a2Le+p02gej5559n/fr1PPXUU1x55ZX813/9F9dccw2VlZWUlJRM9OGNO783QG9TJ921rfTUt9PT3E23u5/ubj/9XjMDKpGAKTb0mIFUYzKUV2zeLhwDLoKqiT5rE21JzZzIaKQm10N7moncpHwKUwopSVnBF1NLKUkpoSiliNLUUhwWx5kfvFIQ8ELAY9xS8nvA32+MfX3ReV/foHE/+PuMeV+/EWx8fTFDKOx8Wsebp0szgyPVuFrjSDWCi8M5dN7hNEKMPTU++NiS5eFiMS708ElaKeNvg9C8rhNZbpQhZjp6EtYHbRNU4elwGQaVV6GTcez8oO3DJ3xFzH6iQSB8nIPDweDPi11+yu1U/GfEBpPIvobZRg99j/igE7+/gK7i+lEUQwX0iasgTanp8c9z6aWXsnjxYp5++unIsrlz57J27Vo2bNjwqdt3d3fjdDrp6uoiNTV1LA/1tAV8AQY6ehho66GntZ3u1nZ627rxdHvwdA/g7QviG9Dw+y0EdAd+UxJBc+Kn7xiw+bqxet0o5WbA1EK3o5WWlFYaM9vwFaWQkplDQWI2efZM8u1pFNkzKLI5ybMkY9WDEPQa4SXoM95ICviiywIDoXEo3ISX+QdCY09M8BmID0AjbYzvbFgSwJ5sBBJ7MthSwJ4SXeZIjVkWWm5PDYWd0DKHE6yJkzbQqNCJQYWmdQWK0LLQyUQRGqto+aHLY5aF/kPTB5WNbkvk5Heqz9GHGceXM05CcfORfYe3if/MYcvo4X1Gt4mWJxIATvUZkWX60PXhE/OQsjFBI1J28H5DJ+PB+wnGbBuuv6EhZtBnxayLKxezbzGxNA0sJg2TpmE2aZg1DZNJM5aFx6F1g5dZzPHbmU3RZXFlQ+NwmdghXNZsjtmHyYTZBGaT6aT7MZk0rOb4YzbmTUM+xzLMtMVkinxmWqIVh3V0X4wZ6fl7Wlwh8vl87Nmzh8ceeyxu+erVq9m5c+ew23i9Xrxeb2S+u7t7TI7tdw9+H703AYWGpjTjN0JphF87R5lRmDH+qawobKBZUZoN3WQnaHagTMPdFkklckUnzBwaQkxBH1Z/F6ZAFzrt+Eyd9NvaGbB34k1yE0x1Y03ykGEKkBUIUBr0kxsIkBsMkhHQMR0Hjo9FrYxcAAs+kx2f5sCv2fCaHHg1Bz7NEZk25u14NQcDmgOPlsCAKQGvZmdAS8CrOfBoiXhC8x4S8GgOgpijsUuB8imUNxoejHFkNUSWDaArD0q1RMqGVkfDBtGAMHh/sYEEhgYV48QV3XZwWDlZuIluH3/sQpwOTcM46WkaJlPstIZJI3JiDZ+cTSaM6ZgyJi3+JBzeTtOiJ2KTScM87P6M5aaYk7qmacZJW9PilptiTtDmUJnB21lMg9YPOrbY8eD1gz9ncLiIBgSG3SYSZkzR4xETZ1oEIrfbTTAYJDc3N255bm4uTU1Nw26zYcMGfvzjH4/5sQW7ihhInDsq+zIFvZgD/Zj0flB9oPpRWi/K1IMy94C1C83ag8XRjt3RRmJCD06LTlpQJzMYJF0PkqKraG9gAeBTXlbyKis+LPgxG+EEC15lxR+a9ofmfRjlfFgZwIZPWfBixYsNLxa8yoY3vA4LA8rGAKEhtM6DHQ82vKF1HmwExuRH2BsaxEiYNNBCJzVN09AwThqaNnQcXRcuT+RkB8Yb+RqhkwPG+vBJUov7HOPkR3ie0AmV+M8Ln2TiykTmQ2VjTsrGZ0bnI8cfPrGFv6MWPflqWviYo9/NHPf5xO0vMh36juHPj90mtt5MoRP14OOKBJBQxcaHg0GfZ4rdV/x3C5+kw/USPlkPd0zh7y/EuWhaBKKwwb/ISqmT/nJ///vf55FHHonMd3d3U1xcPOrHZM1sROtpBhRoisitIE0Hkx4dhwbNooNVR7MoNCuY7WBK0DA7LFhtNuwmBzasoFlQmhmFA6UloShAaSZ0zYzSLKGxmU7NTIdm4qjJgq6FBzNKs6Jr5phlFnSzNTptshjPxoTqb3A9hmc1tEHz8evMGO+hJWmx22rR5hljl8d8TvjkGvn8yDLtpJ9FzAkvdv+xZSLTmha3Twif+EMlT7Gv6LbakOMKbY5G/Mk1eqxD9x0+MRIzPXif4W3jwkl4vTZ0X7Hbm2JCDHEhZdA+Yo+Z6H6FEOJcMC0CUVZWFmazecjVoJaWliFXjcLsdjt2+9i/fnznzx8f888QQgghxKmdw63aRdlsNpYsWcKWLVvilm/ZsoUrrrhigo5KCCGEEJPFtLhCBPDII49wxx13sHTpUi6//HJ+9atfUVtby/333z/RhyaEEEKICTZtAtHNN99MW1sbP/nJT3C5XCxYsIDNmzdTWlo60YcmhBBCiAk2bdohOluTuR0iIYQQQgxvpOfvafEMkRBCCCHEqUggEkIIIcS0J4FICCGEENOeBCIhhBBCTHsSiIQQQggx7UkgEkIIIcS0J4FICCGEENOeBCIhhBBCTHsSiIQQQggx7U2brjvOVrhB7+7u7gk+EiGEEEKMVPi8/Wkdc0ggGqGenh4AiouLJ/hIhBBCCHG6enp6cDqdJ10vfZmNkK7rNDY2kpKSgqZpo7bf7u5uiouLqaurkz7SxpjU9fiQeh4fUs/jQ+p5fIxlPSul6OnpoaCgAJPp5E8KyRWiETKZTBQVFY3Z/lNTU+WXbZxIXY8PqefxIfU8PqSex8dY1fOprgyFyUPVQgghhJj2JBAJIYQQYtqTQDTB7HY7P/rRj7Db7RN9KOc8qevxIfU8PqSex4fU8/iYDPUsD1ULIYQQYtqTK0RCCCGEmPYkEAkhhBBi2pNAJIQQQohpTwKREEIIIaY9CUQT7KmnnqKsrAyHw8GSJUt49913J/qQprQNGzZwySWXkJKSQk5ODmvXruWTTz6JK6OU4p/+6Z8oKCggISGBlStXcvDgwQk64qlvw4YNaJrG+vXrI8ukjkdPQ0MDt99+O5mZmSQmJnLRRRexZ8+eyHqp67MXCAT44Q9/SFlZGQkJCcycOZOf/OQn6LoeKSP1fPreeecdrrvuOgoKCtA0jZdeeilu/Ujq1Ov18uCDD5KVlUVSUhLXX3899fX1Y3PASkyY5557TlmtVvXrX/9aVVZWqocfflglJSWpEydOTPShTVlf+MIX1MaNG1VFRYUqLy9Xa9asUSUlJaq3tzdS5sknn1QpKSlq06ZN6sCBA+rmm29W+fn5qru7ewKPfGravXu3mjFjhlq0aJF6+OGHI8uljkdHe3u7Ki0tVXfddZfatWuXqqmpUW+++aY6cuRIpIzU9dn76U9/qjIzM9Vrr72mampq1J/+9CeVnJysfvGLX0TKSD2fvs2bN6sf/OAHatOmTQpQf/7zn+PWj6RO77//flVYWKi2bNmi9u7dq6666ip14YUXqkAgMOrHK4FoAi1btkzdf//9ccvmzJmjHnvssQk6onNPS0uLAtT27duVUkrpuq7y8vLUk08+GSkzMDCgnE6n+s///M+JOswpqaenR82ePVtt2bJFffazn40EIqnj0fPoo4+q5cuXn3S91PXoWLNmjbr77rvjlv3d3/2duv3225VSUs+jYXAgGkmddnZ2KqvVqp577rlImYaGBmUymdTrr78+6scot8wmiM/nY8+ePaxevTpu+erVq9m5c+cEHdW5p6urC4CMjAwAampqaGpqiqt3u93OZz/7Wan30/Stb32LNWvWcPXVV8ctlzoePa+88gpLly7lq1/9Kjk5OVx88cX8+te/jqyXuh4dy5cv56233qKqqgqAjz/+mB07dnDttdcCUs9jYSR1umfPHvx+f1yZgoICFixYMCb1Lp27ThC3200wGCQ3NzdueW5uLk1NTRN0VOcWpRSPPPIIy5cvZ8GCBQCRuh2u3k+cODHuxzhVPffcc+zdu5cPP/xwyDqp49Fz7Ngxnn76aR555BH+8R//kd27d/PQQw9ht9u58847pa5HyaOPPkpXVxdz5szBbDYTDAZ5/PHHueWWWwD5mR4LI6nTpqYmbDYb6enpQ8qMxXlSAtEE0zQtbl4pNWSZODMPPPAA+/fvZ8eOHUPWSb2fubq6Oh5++GHeeOMNHA7HSctJHZ89XddZunQpTzzxBAAXX3wxBw8e5Omnn+bOO++MlJO6PjvPP/88zzzzDM8++yzz58+nvLyc9evXU1BQwLp16yLlpJ5H35nU6VjVu9wymyBZWVmYzeYhKbelpWVIYhan78EHH+SVV15h69atFBUVRZbn5eUBSL2fhT179tDS0sKSJUuwWCxYLBa2b9/OL3/5SywWS6QepY7PXn5+PvPmzYtbNnfuXGprawH5eR4t//AP/8Bjjz3G1772NRYuXMgdd9zBt7/9bTZs2ABIPY+FkdRpXl4ePp+Pjo6Ok5YZTRKIJojNZmPJkiVs2bIlbvmWLVu44oorJuiopj6lFA888AAvvvgib7/9NmVlZXHry8rKyMvLi6t3n8/H9u3bpd5HaNWqVRw4cIDy8vLIsHTpUm677TbKy8uZOXOm1PEoufLKK4c0G1FVVUVpaSkgP8+jpb+/H5Mp/nRoNpsjr91LPY++kdTpkiVLsFqtcWVcLhcVFRVjU++j/pi2GLHwa/e/+c1vVGVlpVq/fr1KSkpSx48fn+hDm7L+/u//XjmdTrVt2zblcrkiQ39/f6TMk08+qZxOp3rxxRfVgQMH1C233CKvz56l2LfMlJI6Hi27d+9WFotFPf7446q6ulr9z//8j0pMTFTPPPNMpIzU9dlbt26dKiwsjLx2/+KLL6qsrCz1ve99L1JG6vn09fT0qH379ql9+/YpQP3sZz9T+/btizQtM5I6vf/++1VRUZF688031d69e9XnPvc5ee3+XPUf//EfqrS0VNlsNrV48eLI6+HizADDDhs3boyU0XVd/ehHP1J5eXnKbrerFStWqAMHDkzcQZ8DBgciqePR8+qrr6oFCxYou92u5syZo371q1/FrZe6Pnvd3d3q4YcfViUlJcrhcKiZM2eqH/zgB8rr9UbKSD2fvq1btw77//G6deuUUiOrU4/Hox544AGVkZGhEhIS1Je+9CVVW1s7JserKaXU6F93EkIIIYSYOuQZIiGEEEJMexKIhBBCCDHtSSASQgghxLQngUgIIYQQ054EIiGEEEJMexKIhBBCCDHtSSASQgghxLQngUgIIYQQ054EIiGEEEJMexKIhBBCCDHtSSASQgghxLQngUgIIYQQ097/B63R2ygsuAGdAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Titrate the activator and plot the result\n", "try:\n", " import bioscrape\n", " import matplotlib.pyplot as plt\n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " %matplotlib inline\n", " import numpy as np\n", " import pandas as pd\n", " \n", " for a_c in np.linspace(0, 50, 5):\n", " x0 = {activatable_assembly.dna:1, activator:a_c}\n", " timepoints = np.linspace(0, 100, 100)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " plt.plot(R[\"time\"], R[str(S_A)], label = \"[activator]=\"+str(a_c))\n", "\n", " plt.ylabel(f\"[{S_A}]\")\n", " plt.legend()\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 2: RepressiblePromoter\n", "A very simple Promoter Component modelled with a hill function. However, this class is not able to accurately capture the binding of Machinery like RNAP and shouldn't be used with Mixtures that include machinery." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 4) = {\n", "protein[reporter] (@ 0), rna[reporter] (@ 0), dna[reporter] (@ 0), A (@ 0), \n", "}\n", "\n", "Reactions (4) = [\n", "0. dna[reporter] --> dna[reporter]+rna[reporter]\n", " Kf = k dna[reporter] / ( 1 + (A/K)^4 )\n", " k=1.0\n", " found_key=(mech=None, partid=None, name=k).\n", " search_key=(mech=negativehill_transcription, partid=P_repressible_A, name=k).\n", " K=20\n", " found_key=(mech=None, partid=None, name=K).\n", " search_key=(mech=negativehill_transcription, partid=P_repressible_A, name=K).\n", " n=4\n", " found_key=(mech=None, partid=None, name=n).\n", " search_key=(mech=negativehill_transcription, partid=P_repressible_A, name=n).\n", "\n", "1. dna[reporter] --> dna[reporter]+rna[reporter]\n", " Kf=k_forward * dna_reporter\n", " k_forward=0.01\n", " found_key=(mech=None, partid=None, name=kleak).\n", " search_key=(mech=negativehill_transcription, partid=P_repressible_A, name=kleak).\n", "\n", "2. rna[reporter] --> rna[reporter]+protein[reporter]\n", " Kf=k_forward * rna_reporter\n", " k_forward=0.25\n", " found_key=(mech=simple_translation, partid=None, name=ktl).\n", " search_key=(mech=simple_translation, partid=Strong, name=ktl).\n", "\n", "3. rna[reporter] --> \n", " Kf=k_forward * rna_reporter\n", " k_forward=0.001\n", " found_key=(mech=rna_degredation, partid=None, name=kdil).\n", " search_key=(mech=rna_degredation, partid=rna_reporter, name=kdil).\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ayush\\Box\\Research\\bioCRNpyler\\biocrnpyler\\core\\parameter.py:507: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(f\"parameter file contains no {accepted_name} column! Please add a \"\n" ] } ], "source": [ "from biocrnpyler.components import RepressiblePromoter\n", "#ActivatedPromoter Example\n", "repressor = S_A #defined in the previous example\n", "reporter = Species(\"reporter\", material_type = \"protein\")\n", "\n", "#Create a custom set of parameters\n", "hill_parameters = {\"k\":1.0, \"n\":4, \"K\":20, \"kleak\":.01}\n", "#By Loading custom parameters into the promoter, we override the default parameters of the Mixture\n", "P_repressible = RepressiblePromoter(\"P_repressible\", repressor = repressor, leak = True, parameters = hill_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_activatable for its promoter\n", "repressible_assembly = DNAassembly(name=\"reporter\", promoter=P_repressible, rbs=\"Strong\", protein = reporter)\n", "\n", "M = SimpleTxTlExtract(name=\"SimpleTxTl\", parameter_file = \"default_parameters.txt\", components=[repressible_assembly])\n", "\n", "CRN = M.compile_crn()\n", "\n", "print(CRN.pretty_print(show_rates = True, show_keys = True))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Titrate the repressor and plot the result\n", "try:\n", " import bioscrape\n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", "\n", " for r_c in np.linspace(0, 50, 5):\n", " x0 = {repressible_assembly.dna:1, repressor:r_c}\n", " timepoints = np.linspace(0, 100, 100)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " plt.plot(R[\"time\"], R[str(reporter)], label = f\"[{str(S_A)}]={r_c}\")\n", "\n", " plt.ylabel(\"[B]\")\n", " plt.legend()\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 3: A Simple Genetic Regulatory Network\n", "In this example, the activatable_assembly will produce a repressor that represses the repressable_assembly. Notice that activatable_assembly already procues the repressor of the RepressablePromoter...so this is easy!" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ayush\\Box\\Research\\bioCRNpyler\\biocrnpyler\\core\\parameter.py:507: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(f\"parameter file contains no {accepted_name} column! Please add a \"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 7) = {\n", "protein[reporter] (@ 0), rna[reporter] (@ 0), dna[reporter] (@ 0), small_molecule[activator] (@ 0), rna[activatable_assembly] (@ 0), dna[activatable_assembly] (@ 0), A (@ 0), \n", "}\n", "\n", "Reactions (8) = [\n", "0. dna[reporter] --> dna[reporter]+rna[reporter]\n", " Kf = k dna[reporter] / ( 1 + (A/K)^4 )\n", " k=1.0\n", " K=20\n", " n=4\n", "\n", "1. dna[reporter] --> dna[reporter]+rna[reporter]\n", " Kf=k_forward * dna_reporter\n", " k_forward=0.01\n", "\n", "2. rna[reporter] --> rna[reporter]+protein[reporter]\n", " Kf=k_forward * rna_reporter\n", " k_forward=0.25\n", "\n", "3. dna[activatable_assembly] --> dna[activatable_assembly]+rna[activatable_assembly]\n", " Kf = k dna[activatable_assembly] small_molecule[activator]^n / ( K^n + small_molecule[activator]^n )\n", " k=1.0\n", " K=20\n", " n=4\n", "\n", "4. dna[activatable_assembly] --> dna[activatable_assembly]+rna[activatable_assembly]\n", " Kf=k_forward * dna_activatable_assembly\n", " k_forward=0.01\n", "\n", "5. rna[activatable_assembly] --> rna[activatable_assembly]+A\n", " Kf=k_forward * rna_activatable_assembly\n", " k_forward=0.25\n", "\n", "6. rna[reporter] --> \n", " Kf=k_forward * rna_reporter\n", " k_forward=0.001\n", "\n", "7. rna[activatable_assembly] --> \n", " Kf=k_forward * rna_activatable_assembly\n", " k_forward=0.001\n", "\n", "]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "M = SimpleTxTlExtract(name=\"SimpleTxTl\", parameter_file = \"default_parameters.txt\", components=[repressible_assembly, activatable_assembly])\n", "CRN = M.compile_crn()\n", "print(CRN.pretty_print(show_rates = True, show_keys = False))\n", "\n", "#Titrate the activator, which in turn will automatically produce the repressor\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " plt.figure(figsize = (10, 6))\n", " ax1, ax2 = plt.subplot(121), plt.subplot(122)#Create two subplots\n", " for a_c in np.linspace(0, 50, 5):\n", " x0 = {activatable_assembly.dna:1, repressible_assembly.dna:1, activator:a_c}\n", " timepoints = np.linspace(0, 100, 100)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " plt.sca(ax1)\n", " plt.plot(R[\"time\"], R[str(S_A)], label = \"[activator]=\"+str(a_c))\n", " plt.sca(ax2)\n", " plt.plot(R[\"time\"], R[str(reporter)], label = \"[activator]=\"+str(a_c))\n", "\n", " plt.sca(ax1)\n", " plt.ylabel(\"activatable assembly output: [A]\")\n", " plt.legend()\n", " plt.sca(ax2)\n", " plt.ylabel(\"repressable assembly output: [B]\")\n", " plt.legend()\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 4: RegulatedPromoter\n", "In the below example, a CRN from RegulatedPromoter is generated. This Component models the detailed binding of regulators to the DNA and has seperate transcription rates for each regulator. It is suitable for complex models that include machinery. Regulators do not act Combinatorically." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 16) = {\n", "protein[Ribo] (@ 24.0), protein[RNAase] (@ 6.0), protein[RNAP] (@ 3.0), protein[reporter] (@ 0), rna[reporter] (@ 0), dna[reporter] (@ 0), complex[protein[Ribo]:rna[reporter]] (@ 0), complex[protein[RNAase]:rna[reporter]] (@ 0), complex[dna[reporter]:2x_protein[R]] (@ 0), complex[dna[reporter]:protein[RNAP]] (@ 0), complex[dna[reporter]:2x_protein[A]] (@ 0), complex[complex[protein[Ribo]:rna[reporter]]:protein[RNAase]] (@ 0), complex[complex[dna[reporter]:2x_protein[R]]:protein[RNAP]] (@ 0), complex[complex[dna[reporter]:2x_protein[A]]:protein[RNAP]] (@ 0), protein[R] (@ 0), protein[A] (@ 0), \n", "}\n", "\n", "Reactions (14) = [\n", "0. dna[reporter]+protein[RNAP] <--> complex[dna[reporter]:protein[RNAP]]\n", " Kf=k_forward * dna_reporter * protein_RNAP\n", " Kr=k_reverse * complex_dna_reporter_protein_RNAP_\n", " k_forward=2.0\n", " k_reverse=100\n", "\n", "1. complex[dna[reporter]:protein[RNAP]] --> dna[reporter]+rna[reporter]+protein[RNAP]\n", " Kf=k_forward * complex_dna_reporter_protein_RNAP_\n", " k_forward=1.0\n", "\n", "2. 2protein[A]+dna[reporter] <--> complex[dna[reporter]:2x_protein[A]]\n", " Kf=k_forward * protein_A^2 * dna_reporter\n", " Kr=k_reverse * complex_dna_reporter_protein_A_2x_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. complex[dna[reporter]:2x_protein[A]]+protein[RNAP] <--> complex[complex[dna[reporter]:2x_protein[A]]:protein[RNAP]]\n", " Kf=k_forward * complex_dna_reporter_protein_A_2x_ * protein_RNAP\n", " Kr=k_reverse * complex_complex_dna_reporter_protein_A_2x__protein_RNAP_\n", " k_forward=100\n", " k_reverse=1.0\n", "\n", "4. complex[complex[dna[reporter]:2x_protein[A]]:protein[RNAP]] --> complex[dna[reporter]:2x_protein[A]]+rna[reporter]+protein[RNAP]\n", " Kf=k_forward * complex_complex_dna_reporter_protein_A_2x__protein_RNAP_\n", " k_forward=1.0\n", "\n", "5. 2protein[R]+dna[reporter] <--> complex[dna[reporter]:2x_protein[R]]\n", " Kf=k_forward * protein_R^2 * dna_reporter\n", " Kr=k_reverse * complex_dna_reporter_protein_R_2x_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "6. complex[dna[reporter]:2x_protein[R]]+protein[RNAP] <--> complex[complex[dna[reporter]:2x_protein[R]]:protein[RNAP]]\n", " Kf=k_forward * complex_dna_reporter_protein_R_2x_ * protein_RNAP\n", " Kr=k_reverse * complex_complex_dna_reporter_protein_R_2x__protein_RNAP_\n", " k_forward=1\n", " k_reverse=100.0\n", "\n", "7. complex[complex[dna[reporter]:2x_protein[R]]:protein[RNAP]] --> complex[dna[reporter]:2x_protein[R]]+rna[reporter]+protein[RNAP]\n", " Kf=k_forward * complex_complex_dna_reporter_protein_R_2x__protein_RNAP_\n", " k_forward=1.0\n", "\n", "8. rna[reporter]+protein[Ribo] <--> complex[protein[Ribo]:rna[reporter]]\n", " Kf=k_forward * rna_reporter * protein_Ribo\n", " Kr=k_reverse * complex_protein_Ribo_rna_reporter_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "9. complex[protein[Ribo]:rna[reporter]] --> rna[reporter]+protein[reporter]+protein[Ribo]\n", " Kf=k_forward * complex_protein_Ribo_rna_reporter_\n", " k_forward=0.05\n", "\n", "10. rna[reporter]+protein[RNAase] <--> complex[protein[RNAase]:rna[reporter]]\n", " Kf=k_forward * rna_reporter * protein_RNAase\n", " Kr=k_reverse * complex_protein_RNAase_rna_reporter_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "11. complex[protein[RNAase]:rna[reporter]] --> protein[RNAase]\n", " Kf=k_forward * complex_protein_RNAase_rna_reporter_\n", " k_forward=0.001\n", "\n", "12. complex[protein[Ribo]:rna[reporter]]+protein[RNAase] <--> complex[complex[protein[Ribo]:rna[reporter]]:protein[RNAase]]\n", " Kf=k_forward * complex_protein_Ribo_rna_reporter_ * protein_RNAase\n", " Kr=k_reverse * complex_complex_protein_Ribo_rna_reporter__protein_RNAase_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "13. complex[complex[protein[Ribo]:rna[reporter]]:protein[RNAase]] --> protein[Ribo]+protein[RNAase]\n", " Kf=k_forward * complex_complex_protein_Ribo_rna_reporter__protein_RNAase_\n", " k_forward=0.001\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ayush\\Box\\Research\\bioCRNpyler\\biocrnpyler\\core\\parameter.py:507: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(f\"parameter file contains no {accepted_name} column! Please add a \"\n" ] } ], "source": [ "from biocrnpyler.core import ParameterKey\n", "from biocrnpyler.components import RegulatedPromoter\n", "from biocrnpyler.mixtures import TxTlExtract\n", "#1 Regulated Promoter Needs lots of parameters!\n", "component_parameters = {\n", " #Promoter Activator Binding Parameters. Note the part_id = [promoter_name]_[regulator_name]\n", " ParameterKey(mechanism = 'binding', part_id = 'regulated_promoter_A', name = 'kb'):100, #Promoter - Activator Binding\n", " ParameterKey(mechanism = 'binding', part_id = \"regulated_promoter_A\", name = 'ku'):5.0, #Unbinding\n", " ParameterKey(mechanism = 'binding', part_id = \"regulated_promoter_A\", name = 'cooperativity'):4.0, #Cooperativity\n", " \n", " #Activated Promoter Transcription. Note the part_id = [promoter_name]_[regulator_name]\n", " #These regulate RNAP binding to an activated promoter and transcription\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_A', name = 'kb'):100, #Promoter - Activator Binding\n", " ParameterKey(mechanism = 'transcription', part_id = \"regulated_promoter_A\", name = 'ku'):1.0, #Unbinding\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_A', name = \"ktx\"): 1., #Transcription Rate\n", " \n", " #Promoter Repressor Binding Parameters. Note the part_id = [promoter_name]_[regulator_name]\n", " ParameterKey(mechanism = 'binding', part_id = 'regulated_promoter_R', name = 'kb'):100,\n", " ParameterKey(mechanism = 'binding', part_id = \"regulated_promoter_R\", name = 'ku'):5.0,\n", " ParameterKey(mechanism = 'binding', part_id = \"regulated_promoter_R\", name = 'cooperativity'):4.0,\n", " \n", " #Repressed Promoter Transcription. Note the part_id = [promoter_name]_[regulator_name]\n", " #These regulate RNAP binding to a repressed promoter and transcription\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_R', name = 'kb'):1,\n", " ParameterKey(mechanism = 'transcription', part_id = \"regulated_promoter_R\", name = 'ku'):100.0,\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_R', name = \"ktx\"): 1.0, #Transcription Rate\n", " \n", " #Leak Parameters for transcription\n", " #These regulate expression of an unbound promoter\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_leak', name = \"kb\"): 2.,\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_leak', name = \"ku\"): 100,\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_leak', name = \"ktx\"): 1.0, #Transcription Rate\n", "}\n", "\n", "repressor = Species(\"R\", material_type = \"protein\")\n", "activator = Species(\"A\", material_type = \"protein\")\n", "reporter = Species(\"reporter\", material_type = \"protein\")\n", "\n", "#Create a RegulatedPromoter Object named \"P_reg\" with regulators \"activator\" and \"repressor\"\n", "#By Loading custom parameters into the promoter, we override the default parameters of the Mixture\n", "P_reg = RegulatedPromoter(\"regulated_promoter\", regulators=[activator, repressor], leak=True, parameters = component_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_reg for its promoter\n", "reg_reporter = DNAassembly(name=\"reporter\", promoter=P_reg, rbs=\"Strong\", protein = reporter)\n", "\n", "#Use a simple TxTl model with dilution\n", "#M = SimpleTxTlDilutionMixture(name=\"e coli\", parameter_file = \"default_parameters.txt\", components=[reg_reporter])\n", "M = TxTlExtract(name=\"e coli extract\", parameter_file = \"default_parameters.txt\", components=[reg_reporter])\n", "\n", "CRN = M.compile_crn()\n", "print(CRN.pretty_print(show_rates = True, show_keys = False))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Lets titrate Repressor and Activator - notice the bahvior is not combinatorial\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " plt.figure(figsize = (20, 10))\n", " ax1, ax2, ax3 = plt.subplot(131), plt.subplot(132), plt.subplot(133)\n", " titration_list = [0, .05, .1, .5, 1.0, 5.]\n", " N = len(titration_list)\n", " HM = np.zeros((N, N))\n", " for a_ind, a_c in enumerate(titration_list):\n", " for r_ind, r_c in enumerate(titration_list):\n", " x0 = {reg_reporter.dna:.1, repressor:r_c, activator:a_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " if a_ind == 0:\n", " plt.sca(ax1)\n", " plt.plot(R[\"time\"], R[str(reporter)], label = \"[A]=\"+str(a_c) +\" [R]=\"+str(r_c))\n", " if r_ind == 0:\n", " plt.sca(ax2)\n", " plt.plot(R[\"time\"], R[str(reporter)], label = \"[A]=\"+str(a_c) +\" [R]=\"+str(r_c))\n", " HM[a_ind, r_ind] = R[str(reporter)][len(timepoints)-1]\n", "\n", " plt.sca(ax1)\n", " plt.title(\"Repressor Titration\")\n", " plt.legend()\n", " plt.sca(ax2)\n", " plt.title(\"Activator Titration\")\n", " plt.legend()\n", " plt.sca(ax3)\n", " plt.title(\"Endpoint Heatmap (log)\")\n", " cb = plt.pcolor(np.log(HM))\n", " plt.colorbar(cb)\n", " plt.xlabel(\"Repressor\")\n", " plt.ylabel(\"Activator\")\n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in titration_list])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in titration_list])\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 5: Induction Model of a Ligand which Activates a Transcription Factor\n", "In many biological circuits, small molecules (ligands) can bind to a transcription factor modulating its functionality. \n", "\n", "In BioCRNpyler, we will model this by creating a ChemicalComplex Component which consists of a Transcription Factor and a ligand. This the ComplexSpecies formed by by binding the transcription will also work as the regulator (activator or repressor) of a regulated promoter. In this example, we will use RepressablePromoter. \n", "\n", "In the activating case, the bound form of the ChemicalComplex will induce gene expression." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 5) = {\n", "protein[reporter] (@ 0), dna[reporter] (@ 0), complex[ligand[L]:protein[A]] (@ 0), ligand[L] (@ 0), protein[A] (@ 0), \n", "}\n", "\n", "Reactions (7) = [\n", "0. dna[reporter] --> dna[reporter]+protein[reporter]\n", " Kf = k dna[reporter] / ( 1 + (complex[ligand[L]:protein[A]]/K)^4 )\n", " k=1.0\n", " K=20\n", " n=4\n", "\n", "1. dna[reporter] --> dna[reporter]+protein[reporter]\n", " Kf=k_forward * dna_reporter\n", " k_forward=0.01\n", "\n", "2. ligand[L]+protein[A] <--> complex[ligand[L]:protein[A]]\n", " Kf=k_forward * ligand_L * protein_A\n", " Kr=k_reverse * complex_ligand_L_protein_A_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. complex[ligand[L]:protein[A]] --> \n", " Kf=k_forward * complex_ligand_L_protein_A_\n", " k_forward=0.001\n", "\n", "4. protein[reporter] --> \n", " Kf=k_forward * protein_reporter\n", " k_forward=0.001\n", "\n", "5. ligand[L] --> \n", " Kf=k_forward * ligand_L\n", " k_forward=0.001\n", "\n", "6. protein[A] --> \n", " Kf=k_forward * protein_A\n", " k_forward=0.001\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ayush\\Box\\Research\\bioCRNpyler\\biocrnpyler\\core\\parameter.py:507: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(f\"parameter file contains no {accepted_name} column! Please add a \"\n" ] } ], "source": [ "from biocrnpyler.components import ChemicalComplex\n", "from biocrnpyler.mixtures import ExpressionDilutionMixture\n", "\n", "inactive_repressor = Species(\"A\", material_type = \"protein\")\n", "ligand = Species(\"L\", material_type = \"ligand\")\n", "\n", "#Create a ChemicalComplex to model ligand-inactive_repressor bindning\n", "activatable_repressor = ChemicalComplex([inactive_repressor, ligand])\n", "\n", "#Other Promoters could also be used\n", "P_repressible = RepressiblePromoter(\"P_repressible\", repressor = activatable_repressor.get_species(), leak = True, parameters = hill_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_activatable for its promoter\n", "repressible_assembly = DNAassembly(name=\"reporter\", promoter=P_repressible, rbs=\"Strong\", protein = \"reporter\")\n", "\n", "M = ExpressionDilutionMixture(name=\"ExpressionDilutionMixture\", parameter_file = \"default_parameters.txt\", components=[repressible_assembly, activatable_repressor])\n", "CRN = M.compile_crn();print(CRN.pretty_print(show_rates = True, show_keys = False))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Lets titrate ligand and repressor\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " plt.figure(figsize = (8, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 100\n", " HM = np.zeros((N, N))\n", " for r_ind, R_c in enumerate(np.linspace(0, max_titration, N)):\n", " for l_ind, L_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {repressible_assembly.dna:1, inactive_repressor:R_c, ligand:L_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[r_ind, l_ind] = R[\"protein_reporter\"][len(timepoints)-1]\n", "\n", " plt.title(\"Activatable Repressor vs Ligand Endpoint Heatmap\\n Exhibits NOT AND Logic\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"Ligand\")\n", " plt.ylabel(\"Activatbale Repressor\")\n", " \n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show()\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 6: Induction Models of a Ligand which Deactivates a Transcription Factor\n", "In the inactivating case, the unbound transcription factor will activate the gene and the bound form will not." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 5) = {\n", "protein[reporter] (@ 0), dna[reporter] (@ 0), complex[ligand[L]:protein[A]] (@ 0), ligand[L] (@ 0), protein[A] (@ 0), \n", "}\n", "\n", "Reactions (7) = [\n", "0. dna[reporter] --> dna[reporter]+protein[reporter]\n", " Kf = k dna[reporter] / ( 1 + (protein[A]/K)^4 )\n", " k=1.0\n", " K=20\n", " n=4\n", "\n", "1. dna[reporter] --> dna[reporter]+protein[reporter]\n", " Kf=k_forward * dna_reporter\n", " k_forward=0.01\n", "\n", "2. ligand[L]+protein[A] <--> complex[ligand[L]:protein[A]]\n", " Kf=k_forward * ligand_L * protein_A\n", " Kr=k_reverse * complex_ligand_L_protein_A_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. protein[A] --> \n", " Kf=k_forward * protein_A\n", " k_forward=0.001\n", "\n", "4. protein[reporter] --> \n", " Kf=k_forward * protein_reporter\n", " k_forward=0.001\n", "\n", "5. ligand[L] --> \n", " Kf=k_forward * ligand_L\n", " k_forward=0.001\n", "\n", "6. complex[ligand[L]:protein[A]] --> \n", " Kf=k_forward * complex_ligand_L_protein_A_\n", " k_forward=0.001\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ayush\\Box\\Research\\bioCRNpyler\\biocrnpyler\\core\\parameter.py:507: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(f\"parameter file contains no {accepted_name} column! Please add a \"\n" ] } ], "source": [ "repressor = Species(\"A\", material_type = \"protein\")\n", "ligand = Species(\"L\", material_type = \"ligand\")\n", "\n", "#Create a ChemicalComplex to model ligand-inactive_repressor bindning\n", "inactive_repressor = ChemicalComplex([repressor, ligand])\n", "\n", "#Other Promoters could also be Used\n", "P_repressible = RepressiblePromoter(\"P_repressible\", repressor = repressor, leak = True, parameters = hill_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_activatable for its promoter\n", "repressible_assembly = DNAassembly(name=\"reporter\", promoter=P_repressible, rbs=\"Strong\", protein = \"reporter\")\n", "\n", "M = ExpressionDilutionMixture(name=\"ExpressionDilutionMixture\", parameter_file = \"default_parameters.txt\", components=[repressible_assembly, activatable_repressor])\n", "CRN = M.compile_crn();print(CRN.pretty_print(show_rates = True, show_keys = False))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Titration of ligand and repressor\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " \n", " plt.figure(figsize = (8, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 100\n", " HM = np.zeros((N, N))\n", " for r_ind, R_c in enumerate(np.linspace(0, max_titration, N)):\n", " for l_ind, L_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {repressible_assembly.dna:1, repressor:R_c, ligand:L_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[r_ind, l_ind] = R[\"protein_reporter\"][len(timepoints)-1]\n", "\n", " plt.title(\"Deactivatable Repressor vs Ligand Endpoint Heatmap\\nAllows for Tunable Induction\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"Ligand\")\n", " plt.ylabel(\"Deactivatbale Repressor\")\n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show() " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 7: Modeling AND, OR, and XOR Promoters with Combinatorial Promoter\n", "CombinatorialPromoter is a Component designed to model arbitrary combinatorial logic on a promoter. For example, a promoter with 2 transcription factor binding sites can have 4 differents states:\n", "* Nothing bound\n", "* just factor 1 bound\n", "* just factor 2 bound\n", "* factors 1 and 2 bound\n", "\n", "In general, a promoter with $N$ binding sites has up to $2^N$ possible states. Combinatorial promoter enumerates all these states and allows for the modeller to decide which are capable of transcription and which are not. For more details on this class, see the CombinatorialPromoter example ipython notebook in the BioCRNpyler examples folder.\n", "\n", "Below, we will use a Combinatorial Promoter to Produce OR, AND, and XOR logic with two species, $A$ and $B$ by passing in lists of the transcribable combinations of regulators to the tx_capable_list keyword.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ayush\\Box\\Research\\bioCRNpyler\\biocrnpyler\\core\\parameter.py:507: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(f\"parameter file contains no {accepted_name} column! Please add a \"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 7) = {\n", "protein[GFP] (@ 0), complex[2x_B:dna[AND]] (@ 0), B (@ 0), complex[2x_A:dna[AND]] (@ 0), complex[2x_A:2x_B:dna[AND]] (@ 0), dna[AND] (@ 0), A (@ 0), \n", "}\n", "\n", "Reactions (8) = [\n", "0. dna[AND] --> dna[AND]+protein[GFP]\n", " Kf=k_forward * dna_AND\n", " k_forward=0.0028125\n", "\n", "1. 2A+dna[AND] <--> complex[2x_A:dna[AND]]\n", " Kf=k_forward * A^2 * dna_AND\n", " Kr=k_reverse * complex_A_2x_dna_AND_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "2. 2B+dna[AND] <--> complex[2x_B:dna[AND]]\n", " Kf=k_forward * B^2 * dna_AND\n", " Kr=k_reverse * complex_B_2x_dna_AND_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. 2A+complex[2x_B:dna[AND]] <--> complex[2x_A:2x_B:dna[AND]]\n", " Kf=k_forward * A^2 * complex_B_2x_dna_AND_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_AND_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "4. 2B+complex[2x_A:dna[AND]] <--> complex[2x_A:2x_B:dna[AND]]\n", " Kf=k_forward * B^2 * complex_A_2x_dna_AND_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_AND_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "5. complex[2x_A:2x_B:dna[AND]] --> complex[2x_A:2x_B:dna[AND]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_B_2x_dna_AND_\n", " k_forward=0.28125\n", "\n", "6. complex[2x_A:dna[AND]] --> complex[2x_A:dna[AND]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_dna_AND_\n", " k_forward=0.0028125\n", "\n", "7. complex[2x_B:dna[AND]] --> complex[2x_B:dna[AND]]+protein[GFP]\n", " Kf=k_forward * complex_B_2x_dna_AND_\n", " k_forward=0.0028125\n", "\n", "]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from biocrnpyler.components import CombinatorialPromoter\n", "from biocrnpyler.mixtures import ExpressionExtract\n", "\n", "#AND Logic\n", "A = Species(\"A\") ;B = Species(\"B\") #Inducers\n", "\n", "#Create the Combinatorial Promoter\n", "Prom_AND = CombinatorialPromoter(\"combinatorial_promoter\",[A,B], tx_capable_list = [[A,B]], leak = True) #the Combination A and B can be transcribed\n", "AND_assembly = DNAassembly(\"AND\",promoter=Prom_AND,rbs=\"medium\",protein=\"GFP\")\n", "#Use an Expression Mixture to focus on Logic, not Transcription & Translation\n", "\n", "M = ExpressionExtract(name=\"expression\", parameter_file = \"default_parameters.txt\", components=[AND_assembly])\n", "CRN = M.compile_crn(); print(CRN.pretty_print(show_rates = True, show_keys = False))\n", "\n", "#Lets titrate A and B\n", "try:\n", " import bioscrape\n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " \n", " plt.figure(figsize = (8, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 10\n", " HM = np.zeros((N, N))\n", " for a_ind, A_c in enumerate(np.linspace(0, max_titration, N)):\n", " for b_ind, B_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {AND_assembly.dna:1, A:A_c, B:B_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[a_ind, b_ind] = R[\"protein_GFP\"][len(timepoints)-1]\n", "\n", " plt.title(\"AND Endpoint Heatmap\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"B\")\n", " plt.ylabel(\"A\")\n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DNAassembly: OR\n", "Species(N = 7) = {\n", "dna[OR] (@ 0), protein[GFP] (@ 0), complex[2x_B:dna[OR]] (@ 0), B (@ 0), complex[2x_A:dna[OR]] (@ 0), complex[2x_A:2x_B:dna[OR]] (@ 0), A (@ 0), \n", "}\n", "\n", "Reactions (7) = [\n", "0. 2A+dna[OR] <--> complex[2x_A:dna[OR]]\n", " Kf=k_forward * A^2 * dna_OR\n", " Kr=k_reverse * complex_A_2x_dna_OR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "1. 2B+dna[OR] <--> complex[2x_B:dna[OR]]\n", " Kf=k_forward * B^2 * dna_OR\n", " Kr=k_reverse * complex_B_2x_dna_OR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "2. 2A+complex[2x_B:dna[OR]] <--> complex[2x_A:2x_B:dna[OR]]\n", " Kf=k_forward * A^2 * complex_B_2x_dna_OR_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_OR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. 2B+complex[2x_A:dna[OR]] <--> complex[2x_A:2x_B:dna[OR]]\n", " Kf=k_forward * B^2 * complex_A_2x_dna_OR_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_OR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "4. complex[2x_A:dna[OR]] --> complex[2x_A:dna[OR]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_dna_OR_\n", " k_forward=0.28125\n", "\n", "5. complex[2x_B:dna[OR]] --> complex[2x_B:dna[OR]]+protein[GFP]\n", " Kf=k_forward * complex_B_2x_dna_OR_\n", " k_forward=0.28125\n", "\n", "6. complex[2x_A:2x_B:dna[OR]] --> complex[2x_A:2x_B:dna[OR]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_B_2x_dna_OR_\n", " k_forward=0.28125\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ayush\\Box\\Research\\bioCRNpyler\\biocrnpyler\\core\\parameter.py:507: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(f\"parameter file contains no {accepted_name} column! Please add a \"\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Create OR Logic\n", "Prom_OR = CombinatorialPromoter(\"combinatorial_promoter\",[A,B], leak=False,\n", " tx_capable_list = [[A,B], [A], [B]]) #the Combinations A and B or just A or just B be transcribed\n", "\n", "ORassembly = DNAassembly(\"OR\",promoter=Prom_OR,rbs=\"medium\",protein=\"GFP\")\n", "print(ORassembly)\n", "#Use an Expression Mixture to focus on Logic, not Transcription & Translation\n", "M = ExpressionExtract(name=\"expression\", parameter_file = \"default_parameters.txt\", components=[ORassembly])\n", "CRN = M.compile_crn()\n", "print(CRN.pretty_print(show_rates = True, show_keys = False))\n", "\n", "#Lets titrate A and B\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " plt.figure(figsize = (6, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 10\n", " HM = np.zeros((N, N))\n", " for a_ind, A_c in enumerate(np.linspace(0, max_titration, N)):\n", " for b_ind, B_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {ORassembly.dna:1, A:A_c, B:B_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[a_ind, b_ind] = R[\"protein_GFP\"][len(timepoints)-1]\n", " plt.title(\"OR Endpoint Heatmap\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"B\")\n", " plt.ylabel(\"A\")\n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ayush\\Box\\Research\\bioCRNpyler\\biocrnpyler\\core\\parameter.py:507: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(f\"parameter file contains no {accepted_name} column! Please add a \"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 7) = {\n", "dna[XOR] (@ 0), protein[GFP] (@ 0), complex[2x_B:dna[XOR]] (@ 0), B (@ 0), complex[2x_A:dna[XOR]] (@ 0), complex[2x_A:2x_B:dna[XOR]] (@ 0), A (@ 0), \n", "}\n", "\n", "Reactions (6) = [\n", "0. 2A+dna[XOR] <--> complex[2x_A:dna[XOR]]\n", " Kf=k_forward * A^2 * dna_XOR\n", " Kr=k_reverse * complex_A_2x_dna_XOR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "1. 2B+dna[XOR] <--> complex[2x_B:dna[XOR]]\n", " Kf=k_forward * B^2 * dna_XOR\n", " Kr=k_reverse * complex_B_2x_dna_XOR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "2. 2A+complex[2x_B:dna[XOR]] <--> complex[2x_A:2x_B:dna[XOR]]\n", " Kf=k_forward * A^2 * complex_B_2x_dna_XOR_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_XOR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. 2B+complex[2x_A:dna[XOR]] <--> complex[2x_A:2x_B:dna[XOR]]\n", " Kf=k_forward * B^2 * complex_A_2x_dna_XOR_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_XOR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "4. complex[2x_A:dna[XOR]] --> complex[2x_A:dna[XOR]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_dna_XOR_\n", " k_forward=0.28125\n", "\n", "5. complex[2x_B:dna[XOR]] --> complex[2x_B:dna[XOR]]+protein[GFP]\n", " Kf=k_forward * complex_B_2x_dna_XOR_\n", " k_forward=0.28125\n", "\n", "]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Create XOR Logic\n", "Prom_XOR = CombinatorialPromoter(\"combinatorial_promoter\",[A,B], leak=False,\n", " tx_capable_list = [[A], [B]]) #the Combinations just A or just B can be transcribed\n", "\n", "XORassembly = DNAassembly(\"XOR\",promoter=Prom_XOR,rbs=\"medium\",protein=\"GFP\")\n", "\n", "#Use an Expression Mixture to focus on Logic, not Transcription & Translation\n", "M = ExpressionExtract(name=\"expression\", parameter_file = \"default_parameters.txt\", components=[XORassembly])\n", "CRN = M.compile_crn()\n", "print(CRN.pretty_print(show_rates = True, show_keys = False))\n", "\n", "#Lets titrate A and B\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " \n", " plt.figure(figsize = (6, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 10\n", " HM = np.zeros((N, N))\n", " for a_ind, A_c in enumerate(np.linspace(0, max_titration, N)):\n", " for b_ind, B_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {XORassembly.dna:1, A:A_c, B:B_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[a_ind, b_ind] = R[\"protein_GFP\"][len(timepoints)-1]\n", " plt.title(\"XOR Endpoint Heatmap\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"B\")\n", " plt.ylabel(\"A\")\n", " \n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# End" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 4 }