modulatedCooperative.ipynb

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   "source": [
    "***Note: this is the modulatedCooperative.ipynb notebook. The\n",
    "PDF version \"Modulated Cooperative Enzyme-catalysed Reactions\"\n",
    "is available [here](modulatedCooperative.pdf).***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction\n",
    "*\"the ordinary laws [Michaelis-Menten] are inadequate for supplying the degree of control needed for metabolism\"*  <cite data-cite=\"Cor12\">(Cornish-Bowden, 2012)</cite>. In fact, key metabolic enzymes display *cooperativity* which *\"display the property of responding with exceptional sensitivity to changes in metabolite concentrations\"*\n",
    "<cite data-cite=\"Cor12\">(Cornish-Bowden, 2012)</cite>.\n",
    "\n",
    "Cooperativity is discussed in the notebook [Cooperativity](Cooperativity.ipynb). Here, the cooperativity is augmented by *competitive activation and inhibition* to provide a mechanism for modulation and hence feedback control.\n",
    "\n",
    "This note gives a bond graph <cite data-cite=\"GawCra14\">(Gawthrop and Crampin, 2014)</cite> interpretation of such modulated cooperativity and uses the iterative properties of [BondGraphTools](https://pypi.org/project/BondGraphTools/) <cite data-cite=\"CudGawPanCra19X\">(Cudmore et. al., 2019)</cite> to build high-order modulated cooperative systems.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import some python code\n",
    "The bond graph analysis uses a number of Python modules:"
   ]
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    "## Some useful imports\n",
    "\n",
    "import BondGraphTools as bgt\n",
    "import numpy as np\n",
    "import sympy as sp\n",
    "import matplotlib.pyplot as plt\n",
    "import IPython.display as disp\n",
    "\n",
    "## Stoichiometric analysis\n",
    "import stoich as st\n",
    "\n",
    "## SVG bg representation conversion\n",
    "import svgBondGraph as sbg\n",
    "\n",
    "## Modular bond graphs\n",
    "import modularBondGraph as mbg\n",
    "\n",
    "## Data structure copy\n",
    "import copy\n",
    "\n",
    "## Set quiet=False for verbose output\n",
    "quiet = True"
   ]
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   "cell_type": "markdown",
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   "source": [
    "# Modulated Cooperative Enzyme-catalysed Reaction\n",
    "\n",
    "<cite data-cite=\"KeeSne09\">(Keener and Sneyd, 2009)</cite>, Section 1.4.4, discusses cooperativity. This section gives a bond graph interpretation. This is done in two ways:\n",
    "\n",
    "1. As a graphical representation of a two-stage cooperative enzyme-catalysed reaction.\n",
    "2. As a generic representation of an N-stage cooperative enzyme-catalysed reaction using  [bond-graph tools](https://pypi.org/project/BondGraphTools/)"
   ]
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  {
   "cell_type": "markdown",
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   "source": [
    "## Enzyme-catalysed reaction\n",
    "The basic enzyme-catalysed reaction is given in this section. It is the basic building block of cooperative enzyme-catalysed reactions\n",
    "More details are given by <cite data-cite=\"GawCra14\">(Gawthrop and Crampin, 2014)</cite>.\n"
   ]
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   "source": [
    "## Enzyme-catalysed reaction\n",
    "sbg.model('RE_abg.svg')\n",
    "import RE_abg\n",
    "disp.SVG('RE_abg.svg')"
   ]
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       "\\begin{align}\n",
       "\\ch{A + E &<>[ r1 ] C }\\\\\n",
       "\\ch{C &<>[ r2 ] B + E }\n",
       "\\end{align}\n"
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    "s = st.stoich(RE_abg.model(),quiet=quiet)\n",
    "disp.Latex(st.sprintrl(s,chemformula=True))"
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   "source": [
    "## Modulation\n",
    "Competitive inhibition and activation are discussed in chapter 6 of <cite data-cite=\"Cor12\">(Cornish-Bowden, 2012)</cite>."
   ]
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   "source": [
    "## Modulation\n",
    "sbg.model('Mod_abg.svg')\n",
    "import Mod_abg\n",
    "disp.SVG('Mod_abg.svg')"
   ]
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      "text/latex": [
       "\\begin{align}\n",
       "\\ch{E0 + Inh &<>[ rm ] Act + E00 }\n",
       "\\end{align}\n"
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    "s = st.stoich(Mod_abg.model(),quiet=quiet)\n",
    "disp.Latex(st.sprintrl(s,chemformula=True))"
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   "source": [
    "## Two-stage cooperative enzyme-catalysed reaction (N=2) with modulation<a id='coop2'></a>\n",
    "The cooperative enzyme-catalysed reaction is modulated by the activation species (Act) and the inhibition species (Inh)."
   ]
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      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## Two-stage cooperative enzyme-catalysed reaction (N=2)\n",
    "sbg.model('mCoop_abg.svg',quiet=quiet)\n",
    "import mCoop_abg\n",
    "disp.SVG('mCoop_abg.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{align}\n",
       "\\ch{A + E0 &<>[ r01 ] E1 }\\\\\n",
       "\\ch{E1 &<>[ r02 ] B + E0 }\\\\\n",
       "\\ch{A + E1 &<>[ r11 ] E2 }\\\\\n",
       "\\ch{E2 &<>[ r12 ] B + E1 }\\\\\n",
       "\\ch{A + E2 &<>[ r21 ] E3 }\\\\\n",
       "\\ch{E3 &<>[ r22 ] B + E2 }\\\\\n",
       "\\ch{E0 + Inh &<>[ rm ] Act + E00 }\n",
       "\\end{align}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = st.stoich(mCoop_abg.model(),quiet=quiet)\n",
    "sc = st.statify(s,chemostats=['A','B','Act','Inh'])\n",
    "disp.Latex(st.sprintrl(s,chemformula=True))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create cooperative enzyme-catalysed reaction of any degree N\n",
    "The following code builds an N-stage cooperative enzyme-catalysed reaction using  [bond-graph tools](https://pypi.org/project/BondGraphTools/).\n",
    "\n",
    "1. N+1 instances of the basic enzyme-catalysed reaction are created and the enzyme and complex renamed.\n",
    "2. The substrate A, product B  and enzymes E1-EN are unified."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Create cooperative enzyme-catalysed reaction of any degree N\n",
    "## Optionally append a simple reaction\n",
    "## Optionally use feedback inhibition\n",
    "def makeCoop(N=3,quiet=True):\n",
    "    Coop = bgt.new(name='Coop')\n",
    "    Mod = Mod_abg.model()\n",
    "    Coop.add(Mod)\n",
    "    for i in range(N+1):\n",
    "        RE = RE_abg.model()\n",
    "        RE.name = 'RE'+str(i)\n",
    "        mbg.rename(RE,{\n",
    "                    'E':'E'+str(i), \n",
    "                    'C':'E'+str(i+1),\n",
    "                    'r1':'r'+str(i)+'1',\n",
    "                    'r2':'r'+str(i)+'2'\n",
    "                    },\n",
    "                   quiet=quiet)\n",
    "        Coop.add(RE)\n",
    "\n",
    "    ## Unify common components\n",
    "    unified = ['A','B','E0']\n",
    "    for i in range(N): \n",
    "        Ei = 'E'+str(i+1)\n",
    "        unified.append(Ei)\n",
    "    #print('unified =',unified)\n",
    "    mbg.unify(Coop,unified,quiet=quiet)\n",
    "\n",
    "        \n",
    "    ## Stoichiometry\n",
    "    chemostats = ['A','B','Act','Inh']\n",
    "    s = st.stoich(Coop,quiet=quiet)\n",
    "    sc = st.statify(s,chemostats=chemostats)\n",
    "    if not quiet:\n",
    "        print(st.sprint(sc,'species'))\n",
    "        print(st.sprint(sc,'reaction'))\n",
    "    return s,sc,Coop"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generate equations for $N=2$\n",
    "Note that these equations are identical to those of the explicit bondgraph."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{align}\n",
       "\\ch{Inh + E0 &<>[ rm ] Act + E00 }\\\\\n",
       "\\ch{A + E0 &<>[ r01 ] E1 }\\\\\n",
       "\\ch{E1 &<>[ r02 ] B + E0 }\\\\\n",
       "\\ch{A + E1 &<>[ r11 ] E2 }\\\\\n",
       "\\ch{E2 &<>[ r12 ] B + E1 }\\\\\n",
       "\\ch{A + E2 &<>[ r21 ] E3 }\\\\\n",
       "\\ch{E3 &<>[ r22 ] B + E2 }\n",
       "\\end{align}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### Generate equations for N=2\n",
    "s,sc,Coop = makeCoop(N=2,quiet=quiet)\n",
    "disp.Latex(st.sprintrl(s,chemformula=True))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generate pathway equations for $N=2$\n",
    "Pathways are generated using the approach of <cite data-cite=\"GawCra17\">Gawthrop and Crampin (2014)</cite>."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3 pathways\n",
      "0:  + r01 + r02\n",
      "1:  + r11 + r12\n",
      "2:  + r21 + r22\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "\\begin{align}\n",
       "A  &\\Leftrightarrow B \\\\\n",
       "A  &\\Leftrightarrow B \\\\\n",
       "A  &\\Leftrightarrow B \n",
       "\\end{align}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp = st.path(s,sc)\n",
    "print(st.sprintp(sc))\n",
    "disp.Latex(st.sprintrl(sp))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simulation of Steady-state properties\n",
    "\n",
    "The steady state properties are investigated using dynamic simulation where slowly varing exogenous quantities are used to induce quasi-steady-state behaviour. In each case, the variable is at a constant value to start with followed by a slowly increasing ramp. The response after the initial reponse is plotted to remove artefacts due to the initial transient.\n",
    "\n",
    "All parameters are unity except for $K_B=10^{-6}$ (to approximate an irreversible reaction) and initial states are chosen so that the total enzyme is $e_0=1$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set up some parameters for simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Set up some parameters for simulation\n",
    "def setParameter(s,N,e0,K_B=1e-6,modulate=True):\n",
    "    ## Set up the non-unit parameters and states\n",
    "    \n",
    "    K_E0 = 1\n",
    "    K_EN = 1/K_E0\n",
    "    K_m = K_EN/K_E0\n",
    "    parameter = {}\n",
    "\n",
    "    ## Set product constant to a small value\n",
    "    ## to make the ECR approximately irreversible\n",
    "    parameter['K_B'] = K_B\n",
    "    \n",
    "    ## Set up enzyme parameters and reaction constants\n",
    "    parameter['K_E0'] = K_E0\n",
    "    parameter['K_E'+str(N+1)] = K_EN\n",
    "    \n",
    "    ## Modulation \n",
    "    parameter['kappa_rm'] = 1e3\n",
    "    parameter['K_E00'] = 1e-1\n",
    "    \n",
    "    ## States\n",
    "    ## Set total enzyme to e0\n",
    "    X0 = np.ones(s['n_X'])\n",
    "    if modulate:\n",
    "        X0[s['spec_index']['Act']] = 100\n",
    "        X0[s['spec_index']['E00']] = (e0/(N+3))\n",
    "        for i in range(N+2):\n",
    "            Ei = 'E'+str(i)\n",
    "            X0[s['spec_index'][Ei]] = (e0/(N+3))\n",
    "    else:\n",
    "          for i in range(N+2):\n",
    "            Ei = 'E'+str(i)\n",
    "            X0[s['spec_index'][Ei]] = (e0/(N+2))\n",
    "          \n",
    "\n",
    "          \n",
    "    return parameter,X0,K_EN,K_m"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation code\n",
    "The flow $v$ is a dynamical function of substrate $x_A$, activation $x_{Act}$, inhibition $x_{Inh}$ and cooperativity index $N$. An approximate steady-state is acjieved by varying one of the three concentrations slowly whilst fixing the other two. The following function does this by declaring the varying function species by the string sX, a fixed species with a number of discrete values as sX1 with values XX1 and the other species as sX2 with value X2.\n",
    "N can take on a range of values.\n",
    "\n",
    "deriv=True gives a plot of the derivative of the flow with respect to $\\log_{10} X$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def label(sX1,sX2,X1,X2,N):\n",
    "    if N<0:\n",
    "        return f'{sX1}={X1}, N={-N} (graphical)'\n",
    "    else:\n",
    "        return f'{sX1}={X1}, N={N}'\n",
    "\n",
    "def VaryX(sX='A',sX1='Act',sX2='Inh',XX1=[0.1,1,10],X2=1,NN=[2],K_B=1e-6,deriv=False):\n",
    "\n",
    "    ## Time\n",
    "    t_max = int(1e4)\n",
    "    t = np.linspace(0,t_max,100000)\n",
    "    t_0 = 100\n",
    "    t_1 = t_max-t_0\n",
    "    i_max = len(t)\n",
    "    i_0 = int(i_max*t_0/t_max)\n",
    "    i_1 = i_max-i_0\n",
    "\n",
    "    \n",
    "    ## Set up the chemostats: vary X\n",
    "    x_max = 1e2\n",
    "    x_min = 1e-2\n",
    "    chemo = '{3} + ({0}-{3})*np.heaviside(t-{1},1)*((t-{1})/{2})'.format(x_max,t_0,t_1,x_min)\n",
    "    X_chemo =  {sX:chemo}\n",
    "    \n",
    "    for N in NN:\n",
    "        for X1 in XX1:\n",
    "            \n",
    "            if N<0:\n",
    "                ## Use graphical version\n",
    "                s = st.stoich(mCoop_abg.model(),quiet=quiet)\n",
    "                sc = st.statify(s,chemostats=['A','B','Act','Inh'])\n",
    "                lw = 6\n",
    "                ls = 'dashed'\n",
    "            else:\n",
    "                ## Use computational version    \n",
    "                s,sc,Coop = makeCoop(N=N,quiet=quiet)\n",
    "                lw = 4\n",
    "                ls = None\n",
    "\n",
    "            ## Non-unit parameters and states\n",
    "            e0 = 1 # Total enzyme\n",
    "            parameter,X0,K_EN,K_m = setParameter(s,abs(N),e0,K_B=K_B)\n",
    "            X0[s['spec_index'][sX1]] = X1\n",
    "            X0[s['spec_index'][sX2]] = X2\n",
    "            dat = st.sim(s,sc=sc,t=t,parameter=parameter,X0=X0,X_chemo=X_chemo,quiet=quiet)\n",
    "            dX  = s['N']@(dat['V'].T)\n",
    "            dX_B = dX[s['spec_index']['B'],:]\n",
    "            V = dX_B\n",
    "            X = dat['X'][:,s['spec_index'][sX]]\n",
    "            \n",
    "            if deriv:\n",
    "                slope = np.gradient(V[-i_1:],np.log10(X[-i_1:]))\n",
    "                plt.semilogx(X[-i_1:],slope,lw=lw,label=label(sX1,sX2,X1,X2,N),linestyle=ls)\n",
    "                ylabel = '$dv/d \\log_{10}{x}$'\n",
    "                             \n",
    "            else:\n",
    "                plt.semilogx(X[-i_1:],V[-i_1:],lw=lw,label=label(sX1,sX2,X1,X2,N),linestyle=ls)\n",
    "                ylabel = '$v$'\n",
    " \n",
    "\n",
    "    \n",
    "    plt.xlabel('$x_{'+sX+'}$')\n",
    "    plt.ylabel(ylabel)\n",
    "    plt.legend()\n",
    "    plt.grid()\n",
    "    #plt.title('N = '+str(N))\n",
    "    plt.show()\n",
    "  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vary the substrate concentration.\n",
    "\n",
    " The substrate concentration $x_A$ is varied for two values of activation $x_{Act}$ and two values of $N$.\n",
    " The derivative is also plotted."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "NN = [0,4]\n",
    "VaryX(sX='A',sX1='Act',sX2='Inh',XX1=[1,10],X2=1,NN=NN)\n",
    "VaryX(sX='A',sX1='Act',sX2='Inh',XX1=[1,10],X2=1,NN=NN,deriv=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vary the activation species concentration.\n",
    "\n",
    " The activation species concentration $x_{Act}$ is varied for two values of $N$. The derivative is also plotted."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "VaryX(sX='Act',sX1='A',sX2='Inh',XX1=[3],X2=1,NN=NN,deriv=False)\n",
    "VaryX(sX='Act',sX1='A',sX2='Inh',XX1=[3],X2=1,NN=NN,deriv=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vary the substrate concentration.\n",
    "\n",
    " The substrate concentration $x_A$ is varied for two values of inhibition $x_{Inh}$ and two values of $N$.\n",
    " The derivative is also plotted."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "VaryX(sX='A',sX1='Inh',sX2='Act',XX1=[1,10],X2=1,NN=NN)\n",
    "VaryX(sX='A',sX1='Inh',sX2='Act',XX1=[1,10],X2=1,NN=NN,deriv=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vary the inhibition species concentration.\n",
    "\n",
    " The inhibition species concentration $x_{Inh}$ is varied for two values of $N$. The derivative is also plotted."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "VaryX(sX='Inh',sX1='A',sX2='Act',XX1=[2],X2=1,NN=NN)\n",
    "VaryX(sX='Inh',sX1='A',sX2='Act',XX1=[2],X2=1,NN=NN,deriv=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Effect of product \n",
    "The above simulations have $K_B = 10^{-6}$; the following shows the effect of increasing $K_B$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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k0vbyjrZXLVa8DtUKAolpxN3yEWe37KZtVosyl5upc9ewaKd1rLO4aAd3Dohm8lWX+PX1/dl9tBvoWGU5vTxW1a3AHABjzBIgDmjtx5yUUoGy5RP4zz3WWGwyXPdv7TKqQ5nLzb1zVvHuCmtBSIqL4q1bhzOgjf//jvdnUfgW6C4iXUUkBs+F5PnVtvkeuBhARHrjKQr1f9lAKRX8Dm6Cd2+2Dl3hjIWJs6Btf/vyCmIut+G+d1Yxf5X10mrrxBhmTxpBRpf6h8f3Fb+VHWNMmYjcBSwCnMBrxph1IvIosNwYMx+4D3hFRKbgueh8k9GvJSsV2gqOwNvXWAe3E4fni2l622mtXG7DfXOyeT/bWhA6NG/GW7cNp2vrhIDl4tdzEWPMAmBBtdgfqvy8HtB3iVLhwlUKc26Ao9ut8Usf028q18HlNjzwzirm1VIQZk06m44t4wOaT1iMfaSUChIfPwQ7vrTGBl8HI35hTz5Bzu02TP33auautF5utasggBYFpZSvbPgAlr5gjXU6B370rE6dWQtjDE8u2MA71S4qt0+JY+bt9hQE0KKglPKFI9tgXrWzgeR0uOZNiIqxJ6cg92LWVv7vK2s3W7uUOGZOOptOrewpCKBFQSl1ukqLYM6NUHy8MuaIhqtfhwS9w7w2by3dydOLNllirRNjePv2s+ncKnAXlWujRUEpdXo+fQT2rbbGLnsM0hv88mxE+mDVHn7//lpLLCk2itdvGRbQu4zqokVBKdV02z6HpdXGsex9OQy/w558gtzXOYe4d042VW+8j41y8OpNZ9G3fYp9iVWhRUEp1TRFxz1zI1SV0skza5peWK5hy/48fvbWCkpdlRXB6RBevHYIw7oG5otpjaFFQSnVNAt/DSeq3jkjcOU/IC44/uINJgfyirjpn9+SV2Qd4O4vVw3k4t5pNmVVOy0KSinvbfyw5lDY59yl31iuRUFJGbe9vpzdxwot8amjenHF4A42ZVU3LQpKKe8UnYAP77fGUvvARQ/ak08Qc7kNk2dmszr3uCX+0+Gd+NkFwTkooBYFpZR3PnsM8qoMyeCIgitfhug4+3IKUk98uIFPNuy3xC7s0YZHx/ZFgvS6ixYFpVTj5S6HZa9YY+dMhnYD7MkniM3+9nte+5/1y2m92yXzwrVDiHIG70dv8GamlAourlKYPxnPgMblWnSFC39lW0rBasXOIzw4z/pdhLTkWF67KYPEWLvnNqufFgWlVOMsmw4HrPMFM+ZZiG5mTz5Bau/xQn725neWW0/joh28euNZtEsJ/rbSoqCUatjJQ5D1lDU2YAKccZE9+QSpolIXP3tzBYfyiy3xp38ykH4dQuNWXS0KSqmGLX7COrZRbDJc9rh9+QQhYwy/mbumxp1Gd2aeweUD29uUlfe0KCil6rdvLayYYY1d+CtIbGNLOsHq1a+28161eRF+0CuV+y7raVNGTaNFQSlVN2Pgo6nWuZZbngHDfmZfTkHom22H+ePCjZZYtzYJ/HXCIJyO4Lz1tC5aFJRSddvy35ozqf3wCZ0joYoDeUXcNXMlLnflheWkuCheuSGD5LhoGzNrGi0KSqnaud3w6WPWWLeLoMdIe/IJQmUuN5NnruRgnvXC8l+vGcQZbRJtyur0aFFQStVu3VzYv8Yau+wxHQG1imkfb2bptiOW2C8uOiPoBrnzhhYFpVRNrlLPHUdV9fsJtO1vTz5B6NMN+3kxa6slNqJbK6Zc0sOmjHxDi4JSqqbsf3nmXT5FnHDRb+3LJ8jsOlLAlNnZllhqUizPTRwc1ENYNEZoZ6+U8r2yYvj8z9bYkOuh1Rn25BNkistc3Pmv7zhRZW4Ep0P4+0+H0CYp1sbMfEOLglLKKvttOFHlfntnLFyg4xud8qeFG1mz2/oFtV+P7BlUs6edDi0KSqlKrjL431+tsYxbICX4JoOxw6cb9vPP/+2wxC7rk8bt5wfn3AhNoUVBKVVp3Vw4uqNy2REN5062LZ1gsv9EEfe/s8oSS2/RjKevGhi0cyM0hRYFpZSH2w1f/sUaG/RTSA6dcXv8xeU23DMrm6MFpRUxp0P424TBpDQLvS+o1cevRUFERorIJhHJEZGpdWxztYisF5F1IvK2P/NRStVj04dwsMpQDeKA8+6xL58g8o/Pt7Jk22FL7N5LezC0cwubMvIfv832ICJO4AXgUiAX+FZE5htj1lfZpjvwG+BcY8xREUn1Vz5KqXoYA19Os8b6jYeW4dNX3lQrdh5h2sebLbFzz2zFzy8Mz7ux/HmmMAzIMcZsM8aUALOAcdW2uR14wRhzFMAYc8CP+Sil6rLrG9jznTV23r325BJEjheWMnlmtmVco5YJMUy7ehCOEBvorrH8OS9cB2BXleVcYHi1bXoAiMj/ACfwsDHmo+oHEpFJwCSAtLQ0srKympRQfn5+k/eNRNpe3gnl9uqz7imqnqYfbpnBmg0HYIN//04L5jYzxvDiqmJ2H3NZ4jf2EjZ8t5QNNuQUiPaye7LQKKA7kAmkA1+ISH9jzLGqGxljpgPTATIyMkxmZmaTXiwrK4um7huJtL28E7LtdXQnfL7UEmo15vdkdsv0+0sHc5vNWb6Lb/ettsRuObcrd1/ex6aMAtNe/uw+2g10rLKcXh6rKheYb4wpNcZsBzbjKRJKqUBZNt06X0JqX+h6oX35BIFdRwp49IP1lljf9sn8elRoTZjTFP4sCt8C3UWkq4jEABOA+dW2mYfnLAERaY2nO2kbSqnAKM6D7960xs7+eUSPhOp2G+57ZxX5xZXDWDSLdvL8xMHERjltzCww/FYUjDFlwF3AImADMMcYs05EHhWRseWbLQIOi8h6YDHwgDHmcO1HVEr5XPbb1rmX41tB/6vsyycIvPa/7Szbbh0O+7c/6k23EJ0fwVt+vaZgjFkALKgW+0OVnw1wb/lDKRVIxsCyV6yxjFshOs6efILA5v15/HnRJkvsgh5tuG54J5syCjz9RrNSkWrHV3B4S+WyIwrOus2+fGxWUuZmyuxsSsoqr6+kNIvmz+MHhNUwFg3RoqBUpFrxT+tyrzGQFLozhp2uv3+2hXV7Tlhij13Rj7YpkXXmpEVBqUh08hCsr3bfR8bN9uQSBFZ+f5QXqs2iNmZAO8YOjLxxn7QoKBWJsv8F7srB3WjZDbpcYF8+NioscXHfnFWWby2nJsXy2Lh+NmZlHy0KSkUatxtWzLDGht4Ejsj8OPjTwg1sO3TSEnvqJwNokRBjU0b2isx3gVKRbMcX1vmXnTEw6Fr78rHRl1sO8vqSnZbYtcM7cVHPyB2bU4uCUpGm+llC78shobUtqdjpeEEpD7xjHcaic6t4fju6t00ZBQctCkpFksKjsPFDa2xoZF5gfviDdew7UVSx7BD4y1UDSYi1e0g4e2lRUCqSrJ0LrpLK5RZdoct59uVjkwVr9vLeSutQbD+78AwyurS0KaPgoUVBqUiyaqZ1eeDEiBvn6EBeEb97b40l1qttEvdcomNxghYFpSLHoS2Q+601NnCCPbnYxBjD1H+vscy1HON08Ow1gyJisLvG0KKgVKSofpbQ+Txo0dmeXGwy+9tdfLbROnHQvZf1oHe7ZJsyCj5aFJSKBG43rJptjQ2aaE8uNvn+cAGP/cc6R0JG5xbcfr7OQ12VFgWlIsGOL+BEbuVydDz0qT5levhyuQ33v7OKkyWVU2vGxzj5y9UDcYbpXMtNpUVBqUiQXa3rqPflEJtkTy42ePWrbSzbYZ0j4cEf9aFzqwSbMgpeWhSUCnclBbCh2uB3AyOn62jTvjyeWbTZEsvs2YaJwzrWsUdk06KgVLjb8l8oLahcTmoPXSNj8LuSMjf3zM6mxFU5R0Lz+MibI8EbWhSUCnfr51mX+14Bjsi4/fJvn25mw17rHAlPXNGf1OTImiPBG1oUlApnJQWweZE11ucKe3IJsBU7j/JStTkSxg1qz48GtLMpo9CgRUGpcJbzcc2uo/Sz7MsnQApKyrhvTjZVpkggLTmWR8dG5hwJ3tCioFQ4W1et66jPuIiYN+GPCzay43CBJfb0TwaSEh9tU0aho8F3h4j8T0QuCkQySikfKi2s2XXUN/y7jj7ffJA3l1rnSLj+7M5c0KONTRmFlsb8yfAz4C4R+VRERvg7IaWUj2z5GEqrzCiW1B7Sh9mXTwAcLyjlV++ussS6tk7gN6N72ZRR6Glw4HBjzFpgvIgMAR4tv43rd8aYVfXvqZSyVfW7jvqMDfuuo9+/v5b9J4orlh0Cf7l6IPExkT1Hgje8eYfkAI8Bu4EV/klHKeUTpYWw6SNrLMzvOpq/ag/zV+2xxO7MPJMhnVrYlFFoarB8ishioDtQCKwvf9zk37SUUqcl55NqXUftoONw+/Lxs33Hi3iw2hwJfdolM/linSPBW405p7oP2GCMKfR3MkopH6l+11Hv8O06MsbwwLurOFFUVhGLiXLw1wmDiIkKz9/ZnxpzTeG7QCSilPKR0kLYXK3rKIzvOnpz6U6+3HLIEvvVD3vSIy1yBvzzJb+WUREZKSKbRCRHRKbWs914ETEikuHPfJSKCDmfQkl+5XJiW+h4tn35+NHWg/k8uWCDJXZ2t5bccm5XmzIKfX4rCiLiBF4ARgF9gIki0qeW7ZKAu4Fv/JWLUhElQu46KnW5uXd2NkWllYPdJcVG8cxVA3HoHAlN5s93yjAgxxizzRhTAswCapvV4zHgKaDIj7koFRlKi2reddT3Snty8bMXFuewKve4JfbQ2L6kt4i3KaPw4M+i0AHYVWU5tzxWofy7Dx2NMR/6MQ+lIsfWT6Ekr3I5TLuOVu06xvOf5VhiP+ybxvghHerYQzWWbd/oEBEHMI1G3N4qIpOASQBpaWlkZWU16TXz8/ObvG8k0vbyTjC0V+/1L5NWZTk3ZSg5X3xhWz4NaUqbFbsMD31diKvKaHfJMcKP0vL4/PPPfZxhcAnEe8yfRWE3UHVqo/Ty2ClJQD8gq/xb0m2B+SIy1hizvOqBjDHTgekAGRkZJjMzs0kJZWVl0dR9I5G2l3dsb6/SIvjaerNg+qW/IL3LuTYl1LCmtNnD89ex7+QOS+zZiUO5uHda7TuEkUC8x/zZffQt0F1EuopIDDABqJgT0Bhz3BjT2hjTxRjTBVgK1CgISqlGqtF1lAadwqvr6PPNB5nx9Q5LbOKwjhFREALFb0XBGFMG3AUsAjYAc4wx60TkUREZ66/XVSpi1fqFtfCZYe1gXjH3zcm2xDq1jOfBH9W4qVGdBr9eUzDGLAAWVIv9oY5tM/2Zi1JhrbQINi20xsLoC2vGGH717ioO5ZdUxBwC064eSEKsDnbnS+F387JSkWjrZ9auo4RU6BQ+I92//vUOFm86aIlNvrg7GV1a2pRR+NKioFQ4qPULa+HRdbRh7wmeXLjREsvo3IK7LjrTpozCmxYFpUJdWXHNrqMwGSa7qNTF5JkrKSmzfmv52WsGEeXUjy9/0FZVKtRt/QyKT1QuJ6RC53Psy8eHnvhwA1sO5FtjP+5Px5b6rWV/0aKgVKircdfR5WHRdfTx+v015loePySdsQPb25RRZNCioFQoKyuGTQussTC462jf8aIacy13bhXPI+P62pRR5NCioFQo27q4WtdRG+gcvN9gbowyl5vJM1dytKC0IhblEP42YTCJevup32lRUCqUVb/rKAy6jqZ9vJllO45YYlMu7cGgjs1tyiiyaFFQKlSVFcPGal1HIX7XUdamA7yYtdUSO797a35+4Rk2ZRR5tCgoFaq2ZUFxlfkE4luHdNfR3uOFTJltHcYiLTmWZ68ZpJPmBJAWBaVCVW13HTlDs8+91OXml29bryM4BJ6bMJjWibE2ZhZ5tCgoFYrKSmBTtbmpQviuo7/8dzPLdx61xO67rCfDu7WyKaPIpUVBqVC0LQuKqnYdtYLO59mWzun4bON+/vG59TrCBT3a6HUEm2hRUCoU1XbXUQh2He0/6ebuWdbrCG2T43j26oF6HcEmofcuUirSlZXAxv9YYyF419HJ4jKeX1lEXlHltJpOh/D8TwfTSq8j2EbPFJQKNdsW1+w66nK+ffk0gTGGX/17Nbn5xhKfOrIXZ+lw2LbSoqBUqFk717rce2zIdR298uU2Ply91xLXJm03AAAVqUlEQVS7fGB7bju/q00ZqVO0KCgVSkqLao511O/H9uTSRP/LOcSfqs2P0KttEk+N74+IXkewmxYFpUJJrcNkh84X1nKPFnDX29/hrtJrlBwXxcvXDyU+JrTOdsKVFgWlQsm6al1HfcaFzFhH+cVl3DpjueULagL8beJgOrdKsC8xZaFFQalQUVpYc4a1vlfak4uXXG7D5Jkr2bQ/zxK/sns0F/VMtSkrVRstCkqFii0fQ0mVWcgS20Kns+3LxwtPLtjAZxsPWGKj+rVlTLdomzJSddGioFSoWPeedbnvFSHRdTRz2fe8+tV2S6x/hxSmXT0Ih15YDjpaFJQKBSUnYfNH1lgIdB19nXOI389ba4mlJcfyyg0ZNIsJ/oIWibQoKBUKNi+C0oLK5eQOkD7MvnwaYfP+PO54awVlVW41ahbt5NUbz6JtSpyNman6aFFQKhSsece63GccOIL3n+/e44Xc+NoyThSVWeLPXjOQfh1SbMpKNUbwvquUUh4nD8OW/1pj/a+yJ5dGOF5Qyo2vLWPv8SJL/IEf9mRkv3Y2ZaUaS4uCUsFu3VxwV/mLu3UPaD/YvnzqUVTq4vY3lrN5f74lfu3wTtyZqUNhhwK/FgURGSkim0QkR0Sm1rL+XhFZLyKrReRTEensz3yUCkmr51iXB1wNQXjXjsttuGdWNst2HLHEL+uTxqPj+ukQFiHCb0VBRJzAC8AooA8wUUT6VNtsJZBhjBkAvAv82V/5KBWSDm+F3GXWWP+r7cmlHsYYfvfeGj5at88Sz+jcgucmDsapcyOEDH+eKQwDcowx24wxJcAsYFzVDYwxi40xp26pWAqk+zEfpUJP9QvMnc6BFsF1Qm2M4ZEP1jPr212WePfURP7vxgziovXW01Diz6LQAaj6Lsktj9XlVmBhPeuViizGwOrZ1tiA4DpLMMbw50WbmPH1Dku8bXIcr98yjObxMfYkpposKIYlFJHrgAzgwjrWTwImAaSlpZGVldWk18nPz2/yvpFI28s7vm6v5OObGHJkW8WyW6L4+mgbyoLo/8n8rSXM3VJqiSXHwN0DhM3Z37C5gf31PeadQLSXP4vCbqBjleX08piFiFwC/A640BhTXNuBjDHTgekAGRkZJjMzs0kJZWVl0dR9I5G2l3d83l7vv2tZdPQcyXmXjvHd8U/T9C+2MneLdV6E5vHRzJp0Nr3aJjfqGPoe804g2suf3UffAt1FpKuIxAATgPlVNxCRwcDLwFhjzIFajqFUZCrOqznD2uDr7MmlFn//bAtPLrAWhKTYKN64ZVijC4IKTn47UzDGlInIXcAiwAm8ZoxZJyKPAsuNMfOBp4FE4J3y29W+N8aM9VdOSoWMtXOh9GTlclI7OPNS+/IpZ4xh2sebef6zHEs8PsbJjFvOYkB6c5syU77i12sKxpgFwIJqsT9U+fkSf76+UiHruzesy4OutX0eZmMMf1q4kZe/2GaJnxrPaGjnljZlpnwpKC40K6Wq2L8Odi+3xmzuOnK7DY98sI7Xl+y0xBNjo5hx81lkdNGCEC60KCgVbKqfJXTLhJZd7cgEgOIyF/fOWcWHq/da4slxUbxx63AGddQuo3CiRUGpYFJyElbNtMaG3GBPLsCJolImvbGcpdusQ1e0iI/mzVuH64inYUiLglLBZNUsKDpeuRzfCnrZcxvq/hNF3PjaMjbus86rnJYcyxu3DKdn2yRb8lL+pUVBqWBhDHzzsjU29CaIig14Khv2nuC215ez+1ihJX5GmwRev2UY6S3iA56TCgwtCkoFi21ZcGhT5bI4IePWgKexaN0+pszOpqDEZYkP6dScV288ixYJOnRFONOioFSwqH6W0GcspNQ3XJhvGWN4MWsrTy/aVGPdJb1TeX7iEJ1XOQJoUVAqGBzeCps/ssaG3xGwly8oKeM3c9fwfvaeGuuuP7szD13ehyinzskVCbQoKBUMvn4OqJzgnnYDoePwgLx0zoE87vzXdzVmS3M6hIfH9uX6s4NrqG7lX1oUlLLbiT2Q/bY1NuKugMyu9n72bn4zd02N6wcpzaJ56dohnHNma7/noIKLFgWl7LbkBXCVVC437wx9f+zXlywqdfH4h+t5a+n3NdZ1T03klRsy6NI6wa85qOCkRUEpOxUcgeX/tMbOvduv4xyt3X2ce2Znk3Mgv8a6Kwa154kr+5MQqx8NkUr/zytlpyUvWEdDTUzzDH7nB2UuNy9/sY1nP95MmdtY1sVEOXj48r5MHNYRCUC3lQpeWhSUskv+AVj6kjU24hcQHefzl9p2MJ8H3l3Nip1Ha6zr3CqeF346RIesUIAWBaXs88Uz1rOE+NY+/7JaSZmblz/fyvOLcygpc9dYf3VGOr8f04ekuGifvq4KXVoUlLLD0R2w/DVr7IIHIDbRZy+xfMcRfjN3DVtquXbQMiGGP/64Pz/s29Znr6fCgxYFpezw2ePgrjLhfUonyLjZJ4c+mFfMM4s2MXv5rlrXX9wrlT+NH0CbpMCPqaSCnxYFpQJt59ew5h1r7KLfnvbAd8VlLl77agcvLM4hv7isxvpWCTH84fI+jB3YXi8mqzppUVAqkFxlsOABayytPwy4usmHNMbw0dp9/HHhRr4/UlDrNldnpPPb0b1pHq+D2an6aVFQKpCWvwb711pjo58Gh/cDzRljWLzpANM+3sza3Sdq3aZbmwQev6If55yh30xWjaNFQalAObYLPn3UGut/NXQe4dVhjDF8vfUwz/x3Eyu/P1brNslxUUy5tAfXnd2ZaB3ITnlBi4JSgWAMzP8llFSZxSwmES59tO59qnG5Df9dt4+Xv9hG9q7ai4HTIVw3vBP3XNJD5z1QTaJFQalAWDEDti22xi55GJLbNbhrUamLf3+XyytfbGPH4dqvGQD8qH87plzanTNTdZpM1XRaFJTyt4ObYNFvrbEu5zf4RbUdh04yc9n3vLMilyMnS+rc7pLeqUy5tAd92+s3ktXp06KglD+VnIQ5N0Jplb/woxNg3N/BUbOvv8zl5pMNB/jXNzv5csuheg99Uc82TL64O4M7tfB11iqCaVFQyl+MgQ/vg4MbrPGRf4QWXapsZlide5z3Vu7mP6v3cCi/7rOCaKcwblAHJl3QjR5p2k2kfE+LglL+8tWzsGqmNTbgGhhyAwBbD+bz4eq9zFu5m22HTtZygEopzaKZcFZHbj63K21TfD9gnlKnaFFQyh/WzoVPH7GETOuerBn0EAsXbeK/6/ax9WD9hQBgcKfmXDu8M2MGtCMu2vvvMijlLS0KSvlazifw3h2WUKEzkRuP38my6dkN7p4UF8WYAe25dngnHc5aBZxfi4KIjAT+BjiB/zPG/Kna+ljgDWAocBi4xhizw585KeVPJZs/JWr2T3G4iitjxskthXezzN2mzv2incIPeqVy5eAOZPZM1bMCZRu/FQURcQIvAJcCucC3IjLfGLO+yma3AkeNMWeKyATgKeAaf+WklK8dyi9mxc6jrNh5lMKVX3J2yd9wSKllm9+U3s4Sd98a+0Y5hBFntGJUv3aM7t9WxyVSQcGfZwrDgBxjzDYAEZkFjAOqFoVxwMPlP78L/F1ExBhjnStQqSBwrKCEdXtOsHb3cdbtOcHq3GMVXya7zvkxj0TNwCnWt+7vS2/i3+4LKpYTYpxk9kzlsr5pZPZMJaWZTm6jgos/i0IHoOqA7rnA8Lq2McaUichxoBVguUFbRCYBkwDS0tLIyspqUkL5+flN3jcSRWp7lbgM+0662XvSsCffza48NztPuDlcVPNvlRhK+V3UW9wY9XGNdQ+X3sCbrsvomOSgbysHfVs56dnSSYzzBBw7wcpvtgTi1wlqkfoea6pAtFdIXGg2xkwHpgNkZGSYzMzMJh0nKyuLpu4bicK5vUpdbvYcK2TXkUJ2HS1g28F8cg7ks/XgSXYdLaAx56odZT8vRD/HAMd2S9yFg7ntpjBo2K0sO7MVqUl6C2ldwvk95g+BaC9/FoXdQMcqy+nlsdq2yRWRKCAFzwVnpZrMGMOxglL25xWx/0Qx+08UWQpA7pEC9p0owt3ETkoHbm50LuKBqDnES7FlnYlqhvPq17mqxw998JsoFXj+LArfAt1FpCueD/8JwE+rbTMfuBFYAvwE+EyvJ6jaFJW6OFZQytGCEo6eLOFoQSlHCko4drKEQ/nF7D9RzIHyInAwr5gSV81J6k9XlEO4vNVu7il7jc6F62usL4xrS7MbZkP7QT5/baUCxW9FofwawV3AIjy3pL5mjFknIo8Cy40x84FXgTdFJAc4gqdwqDDidhuKylwUlrg4Wewir7iUk8Uu8otLySsqI7+4jPzy56rLecWlHCsorSgEBSWugOUsAh2aN+PM1ETOaJNI99REhsQf5Iy1z+Lc+EHtO/Uaw4pWEzlPC4IKcX69pmCMWQAsqBb7Q5Wfi4Cr/JlDODLGYAy4jMHlNrhPPbs9MbcxuN2mYr3LbSh1uSkpM5S53fX+XFpmKHW7KS1zs2F7KevJ8cRcbkrdbopL3RSVusofbgpP/VzmpqjEVVEATsVKynz/F7uvpCbFkt6iGR1bxtO5ZTxnpCZyZmoi3Von0izG6Rm76Pul8PXjsGkBUMtJbGwKXPYYDLmBss8/D/jvoJSvhcSF5tP17MebWbP7OIcOFzFj+7KKi4gGzwcseP79G0zluirLpnxjQ9Vtyz+cqyyfWmmq71/L67nKP7SNoeKD2139Q95g+XCvGg+YTZsC+GK+kxgbRWpSLKnJsaQmxdEuJY70lvGeItDC81znF8ROHoLv3oHsf8G+NXW/SK8xMPqZRs2JoFSoiIiikL3rGJ9vPuhZOHjQ3mRUkzgdQov4aFrEx3geCZ6fm8fH0CohhtTkWNKS48oLQRyJsV6+tU/shc0LYdNC2PoZuMvq3rb9EM+MaV3PP71fSqkgFBFFQcTuDCJbXLSDuGgnCTFRJMVFkRgbRWL5c8VybDSJcVEkxUaRUL4+OS6KlgkxtEiIISk2CvHl/8iCI56uoe+/hu1fwt6GxySi3UA4bwr0uULfVCpsRUZRsDsBP3E6BKcIDgflz4JDBGfFsyce5XQQ5RRinA6iy3+OdjqIrniu/ef9e3bTpUsny34xTgfNYpzERTk9z9EO4qKcxFWLNYt2EhftJDbK4dsP86YoOAL7VsO+tZ7uoL2ras5xUBdxwJmXwDm/9MyWZvfvopSfRURRmHxxd64d3pm1a9cwYEB/BKmoFAKISPkzCFLx717K/3MqdmpbKrY99Rlh3aeu41El5nR4PrQdUuWDvPqHfPkHffUPf6dDAvJBm5V1iMzM3n5/ndPmKoOTBzxdQEe3w5FtcKT8+eh2yN/v/TFb94BBP/XMf5Dc3vc5KxWkIqIonJquMOrABjJ7pdmcjWpQWTEUHoXCY57nomPW5fz9nkfeXsjbB/kHqPXOIK8IpGdAj5HQczSk9tazAhWRIqIoKC+43WBc4HbhcBVB0QnPclkJuKo9aovVFi8t9MxRXFIApSc9zyUnK38uPbVcAMX5UFYYgF9UIK0fdD6n/HEuJNY9tLVSkSIyisLnf4a9q+h38CDsnY7n/tJTf1lWuQfV6+WGtqWB9b7KAzBuz8PtqvhQ9zyXf8jXWFfLtsb6nYILAL4k9DmioU0vaNvf+mjW3O7MlAo6kVEUdi2DnI9pDTqyUriKbwWJbaFFZ2jRFVqeenSDlI7g1CGqlWqMyCgKKrSI0/NXfLMWnkfcqZ/Ln+NbQ1JbSGrneU5MgyidoEYpX4iMoqAXDL0jTnA4cRlwRsV4lqNiwFntURGLBmds5c9RseWxGE88KhZiEiA6HmLiITqh/Dm+Sjyh8ufYJP1/ppRNIqMonH8/DLmBtWvX0q9ff09MhMr7Uk99ADV2mcplr/etZ/l08yj/MK98dlQuV/25+rpTy+IEh6Oi2b7Use6VijiRURQ6eSZ8O7Q/CXpn2puLUkoFMUfDmyillIoUWhSUUkpV0KKglFKqghYFpZRSFbQoKKWUqqBFQSmlVAUx1cfpCXIichDYWb6YAhyvtkn1WNXl1sAhP6VWWy6+2q++bepa19h4pLVXfeu9fT9VX9b28q69wH9tpu1VU2djTMOjPnomgQ/NBzC9oVjVZWB5IHPx1X71bVPXusbGI629vG0zbS//tZc/20zbq+mPUO8++qARsdq28Yemvk5j9qtvm7rWNTYeae1V3/qmvJ+0veqPaXvVHw+W9qoQct1Hp0NElhtjMuzOI1Roe3lH28t72mbeCUR7hfqZgrem251AiNH28o62l/e0zbzj9/aKqDMFpZRS9Yu0MwWllFL10KKglFKqghYFpZRSFbQolBORK0TkFRGZLSKX2Z1PsBORbiLyqoi8a3cuwUpEEkTk9fL31bV25xPs9D3lHX99ZoVFURCR10TkgIisrRYfKSKbRCRHRKbWdwxjzDxjzO3AHcA1/szXbj5qr23GmFv9m2nw8bLtfgy8W/6+GhvwZIOAN+0Vqe+pqrxsL798ZoVFUQBmACOrBkTECbwAjAL6ABNFpI+I9BeR/1R7pFbZ9cHy/cLZDHzXXpFmBo1sOyAd2FW+mSuAOQaTGTS+vVTT2sunn1lhMR2nMeYLEelSLTwMyDHGbAMQkVnAOGPMH4Ex1Y8hIgL8CVhojPnOvxnbyxftFam8aTsgF09hyCZ8/gDzipfttT6w2QUfb9pLRDbgh8+scH6jdqDyrzTw/APtUM/2vwQuAX4iInf4M7Eg5VV7iUgrEfkHMFhEfuPv5IJcXW03FxgvIi9hw3AFQazW9tL3VJ3qen/55TMrLM4UfMEY8xzwnN15hApjzGE8fZmqDsaYk8DNducRKvQ95R1/fWaF85nCbqBjleX08piqnbZX02nbeUfbyzsBba9wLgrfAt1FpKuIxAATgPk25xTMtL2aTtvOO9pe3gloe4VFURCRmcASoKeI5IrIrcaYMuAuYBGwAZhjjFlnZ57BQtur6bTtvKPt5Z1gaC8dEE8ppVSFsDhTUEop5RtaFJRSSlXQoqCUUqqCFgWllFIVtCgopZSqoEVBKaVUBS0KSimlKmhRUEopVUGLglJNJCKLReTS8p8fF5Hn7c5JqdOlo6Qq1XQPAY+WTzo0mAidXU2FFx3mQqnTICKfA4lApjEmr0p8NvCtMeYZ25JTqgm0+0ipJhKR/kA7oKRaQRgH/Afob1duSjWVFgWlmkBE2gH/wjONZL6IjCyPxwFXGWPeBFJsTFGpJtGioJSXRCQez1Sb9xljNgCP4bm+APAAkFg+rWRfEWlmU5pKNYleU1DKR0SkE/CQMebW8uWHgI+MMd/Ym5lSjadFQSmlVAXtPlJKKVVBi4JSSqkKWhSUUkpV0KKglFKqghYFpZRSFbQoKKWUqqBFQSmlVAUtCkoppSpoUVBKKVXh/wFIiYR16a/b1gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for K_B in [1e-6,0.1,1]:\n",
    "    plt.title('$K_B = $'+str(K_B))\n",
    "    VaryX(sX='A',sX1='Act',sX2='Inh',XX1=[1],X2=1,NN=NN,K_B=K_B)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare graphical and computational\n",
    "The graphical bond-graph representation corresponds to N=2 (activated in the code by setting N=-2). This section checks that the simulation gives the same results for the coresponding computational form of the bond graph (N=2)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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99phD+Q8//ABUneZiyZIlGAwG5syZ49ZxKu5jvXiR1L/9zWl960cfwa/cB4HqWP/Lenan7Nas6xzQmb8M+0uN21TqR/MKClWc82+OqbPbtWvHuXNXk4glJSVVmi21rMDAQGbPns2yZcscyqtzpLBy5Uo2bdrEli1bqv0Uq9K4SClJefpv2LK1/934jh9P8L331rjdjMIM/rlX+7Vv1Bn555h/qvTWjVjzCgoNpCFTZw8ZMoQTJ05w6tQp2rVrx+rVq/noo48AeOqppxg6dCjTpk1zuv0jjzzCkCFDsFqtpWVVHSl8/fXXvPjii2zfvr30CEhperLXrSdP44MIgDEigvDn/16rgP/GgTfIKdaedGde1Dx6BvescZtK/VEXml1g1apVFd54r6TOnjx5MlOnTiU6OpoBAwaU3k56JXV2dS80p6amEhERwcsvv8xzzz1HREQEOTk5GAwG3njjDSZNmkTv3r259dZb6du3LwCHDx+mTZs2lbYbGhrKtGnTKCqq/sQm8+fPJzc3lwkTJjBgwADmzZtX7W2VxsGans6Fv/9du1Kno91LS9H7+9e43WOZx/j8+OeadT2CenB3ZJOeYLFFUKmzm7FJkyaxefPmWm/f0vZXbTTV1Nnnn3yK7HK3N18RMncurR95uMZtSim575v7+Cm14o0OOnR8dONH9A3t61DelPZZY1AfqbPVkUIzVpeAoDRfBfv2OQ0Iph49CJ1fu1lyv0/6XjMgANzS45YKAUFpnFRQUJQWRFqtpC5+VrtSp6Pt839H51HzuQuklCw7sEyzzsfgw/wB82vcptIwVFBQlBYk65NPKDp2TLMu6Lbb8Opbu0/zW89tJSEzQbPuD1F/IMRLe5Y2pfFRQUFRWghbXj7py97UrNMHB9PqoQW1atcu7bx5QLvdtj5tmdNbPcfSlKigoCgtRObKldgyMjTrWj/+eK3uNgLYcnYLx7OOa9bd1/8+NZVmE6OCgqK0ANb0dDJXrNCs8+zfn4CbptaqXSkl7x1+T7Mu3Cecm7veXKt2lYbTLB9e6/fffi5t7/Cdh6u13rp165g2bRoJCQn06tWr0nVXrlzJxIkTq50lNTExkbvvvpv9+/ezZMmSCqkptMTExJCXl8eVW3jj4uJ47LHHiI2NrXLbgoICZsyYwZkzZ9Dr9UyZMsVpWu5169Zx6NAhnn766Wr9LrUVExPjkC/qiri4ON5//31ef/31OrV53XXX8emnnxIUFOSqITca6W+9jb2gQLOu9WOPInS1+3wYdyGO+Ix4zbq5/edi1Nd0bjaloakjBRcqmzq7KjWdT+FK6uzqBIOy0tLS+Oqrr2q0zRULFiwgMTGRn3/+mZ07dzpt58UXX+SBBx6odrtln552hejo6FoFhPLuuOMO3nxT+9x4U2ZJSSHr448163zHjsVn6NBat/3+0fc1y8N9wpnarXZHH0rDUkHBRRoqdXZVHn/8cZYsWVKjbQC8vb0ZM2YMAB4eHgwaNEgzRfbx48cxmUyEXp64/ZdffmH48OH069ePhQsXlk7eExsby+jRox3merj55psZPHgwffv25d133y1t09fXl4cffpi+ffsyfvx4Ll68WFr36aefMnToUHr06FGajiM2Npbf/OY3QMnf4e6776Zfv37079+fzz77DID777+f6Oho+vbty9+cJICbOnVqtQJ6U5O9bh1oBWIhaPXII7Vu91T2KWKTYjXrbu9zO0adOkpoilRQcBGt1NmAQ+rsgwcP8uc//5kZM2YQHR3Nhx9+yIEDB/Dy8uLhhx9mwIABFb6qM5NaZUaMGIGHh0eFZHvHjh3T7G/AgAEVZlK7dOkSGzduZPz48RXa37lzJ4MGDSpdfuihh3jooYc4fPgwERERDuvu37+f1157jePHSy5Krlixgn379hEXF8frr79OxuWLoPn5+URHR3P06FHGjh3rkNrbarWyZ88eXn31Vc2JjJ599lkCAgI4fPgwhw4dYty4cUBJRte4uDgOHTrE9u3bOXSo4twBQUFBFBUVlY6juQi5+w4ixlvxDCp2KA+YOhXPnj1q3W52UTZBhg4Vyn2NftzS/ZZat6s0rGZ5TaEhNObU2QsXLuS5555zmB2tZ8+eHDhwoMptrVYrt912GwsWLKBLly4V6lNSUmjVqlXp8u7du0tnh5s9e7bD6a6hQ4fSuXPn0uXXX3+dtWvXAnDu3DlOnDhBSEgIOp2udI6G22+/nVtuufoGc+XnwYMHc/r06Qrj+e677xyO1K5cH/jkk0949913sVqtpKSkEB8fT//+/Sts37p1a86fP09ISPO5r14c+AC/Vmn4ToT8FBPpCQEUZngQ+sD9dWq3d3A/8k89RIE8ikfwDxh8TwDw2x4z8DH6uGLoSgNQQcEFGjJ1dnWMGzeOhQsX8uOPP5aWHTt2zOnkOLGxsQQGBgIwd+5cunfvzp/+9CfNdb28vMh2knq5PB+fq28UsbGxfPfdd+zevRtvb29iYmIwm82a25XN1GkymQDQ6/XVvjZx6tQpli5dyt69ewkKCuKuu+5y2pfZbMbLy0uzrkmymGHnawAIAb7hRfjMuI3iLr/Do2PHOjW9+egFMvIsQA8K83vg53uRG8ecYHbv2S4YuNJQ3BoUhBCTgdcAPfCelPIf5eo7AP8FAi+v86SU8su69uvsbiF3JXhryNTZAOPHj+f999+vdB6FhQsXMm/evNJP+9U5Uli8eDHZ2dm89572LYcAvXv35n//+1/p8vDhw/nss8+YOXNmhWsrZWVnZxMUFIS3tzeJiYkOActut7NmzRpmzZrFRx99xKhRoyodZ1kTJkxg2bJlvPrqqwBkZWWRk5ODj48PAQEBXLhwga+++kozqZiUktTUVDp16lTt/hq9Ax9CbsrVZYMX4po/YvJt5XybavropzMOy9P7D2HRmLvq3K7SsNx2TUEIoQeWAdcDfYDbhBDlZ5NfCHwipRwIzAKa5K0fDZk62263c/LkSaenpa644YYbHE7zVCUpKYmlS5cSHx/PoEGDGDBggGZwGDNmDD///DNXsu2++uqrvPzyy/Tv35+TJ08S4GQax8mTJ2O1WunduzdPPvkkw4cPL63z8fFhz549REZGsnXr1hrd6rpw4UKysrKIjIwkKiqKbdu2ERUVxcCBA+nVqxezZ89m5MiRmtvu27eP4cOHl84/3eTZbbDrX45l0XeDCwLCLxfz+PFXx/m95wyreH1BaYKklG75AkYAm8ssPwU8VW6dd4Anyqy/q6p2Bw8eLMuLj4+vUKYlJyenWus1JYcPH5YPP/ywW9qu7v5asGCB/Pbbb6WUUubn50u73S6llHLVqlVy6tSpNe7Xx8enxtu4woIFC+R3331Xo23Kvva2bdvm4hHVUcImKf/mf/XrmRAps8+7pOlnNx6VHZ/YVPo1462dtWqn0e2zRq4u+wuIk9V473bnR6J2wLkyy0nAsHLrLAK+EUL8EfABNCeDFULMBeYChIWFVXj4KiAgwOFUjDM2m61a6zUlHTt25JlnnnHL71Xd/bVgwQLi4uLIzc1l165dPPbYY0gpCQgIYNmyZbUaW0P8nbp168bQoUNr1LfZbC59Pebl5VXrwcD6MuDnvxNYZjm11WgS9x8DtBPiVVexTbLqJ8cH4Qb6F9Tqd29s+6yxq4/95bZJdoQQM4DJUsrfX16+AxgmpZxfZp1HLo/hJSHECGA5ECmltDtrV02yU3/U/qpao51k5/wBeHesY9m8HdCm7k/7rz+QzEOrr16PCvQ28uNT4/E06mvcVqPaZ01AfUyy484jhWSgfZnliMtlZd0LTAaQUu4WQngCoUCaG8elKM1a/o8/4n1uOQ6zK3ca7ZKAAPD5fsd/xtMHRdQqICiNkzuDwl6guxCiMyXBYBZQ/l61s8B4YKUQojfgCVxEUZRaMR87ztm77sbgbSO4uw+BXQvQe0gYUbvZ1MpKzU9lX0oCP5zIo+w9KjMGRzjfSGly3BYUpJRWIcR8YDMlt5uukFIeFUIspuSCxwbgUeDfQoiHAQncJd11PktRWoCsjz4CwFqgJ+1gABeP+hHY20iwqTd1TWD92YnPePvg23h188OaHYUlexDdg3rQu23tUm4rjZNb772TJc8cfFmu7OkyP8cD2vcHKopSI7a8fHI2bnQok1YdWYdt6DdsoNWC2k2iAyV3KW78paRtnSEXj5AdeITsoMjYgX0XfBkcNrhOY1caj2aZ+yihV2/Nr6QhQ53WVfZVXevWrUMIQWJiYpXr1jRLamJiIiNGjMBkMpU+63DF119/Tc+ePenWrVu1ciUtWrQIb29v0tKuXrq5kriuOh5//HF69epF//79mTZtWoVcSVekpKSUJqpzp0WLFlXYJ1dcc801dW7zscceY+vWrbUeX33J2bRJOz22QU/grFl1avvntJ9Jzit/SRAyLGcJ8mx+qcZbsmYZFBpKQ6TOttlsPPjgg3z11VfEx8ezatUq4uO189uXFRoayksvvVTt/suaMGECR44c4dChQ/To0YPnn39ec72XX36Z++67r0Zt22y2Wo3JmV27dtW5jT/+8Y91TkzoblJKp+mx/caNx9i6dZ3a3/jrRs3yviF96RJQMSeW0nSpoOAiDZU6e8+ePXTr1o0uXbrg4eHBrFmzWL9+fZXt3XPPPXz88cdkZmZWuW55EydOLH3qd/jw4ZoptQE+++wzJk+eDJRM2nPrrbfSp08fpk2bxrBhw0on//H19eXRRx8lKiqK3bt3s3jxYoYMGUJkZCRz584tfVo6JiaGhx56iAEDBhAZGcmePXtK+4qPjycmJoYuXbo4zK1Q9gio/N8B4N///jdDhgwhKiqK6dOnU6DxSbtjx45kZGSQmppa431VX8yHD1OUkKBZFzRLO8dVdVnsFr49/a1m3ZSuU+rUttL4qKDgIg2VOjs5OZn27a/e+RsREUFycsXD/PJ8fX255557eO211yrUjR49mgEDBjBy5EiHsXz33XcV1l2xYgXXX399hfJTp04RFBRUmsDuzTffJCgoiPj4eJ599tnS/QMlqbKHDRvGwYMHGTVqFPPnz2fv3r0cOXKEwsJCNm3aVLpuQUEBBw4c4M033+See+4pLU9MTGTz5s3s2bOHZ555BovF4jAerb8DlGRd3bt3LwcPHqR3794sX75cc38NGjSInTt3VrZLG1TWau2jBGPHDniXSSFSG3tS9pBdXDHpoV7omdxpcp3aVhqfZpLkpeE15tTZzixYsIABAwZUOCV1ZfKaqh5eW7JkCQaDgTlz5lSoK59Se8eOHaX7JzIy0iFttV6vZ/r06aXL27Zt48UXX6SgoIDMzEz69u3LlCkln0hvu+02oCTnUk5OTun1jBtvvBGTyYTJZKJ169ZcuHDBYT4HZ3+HI0eOsHDhQi5dukReXh6TJk3S/F2vpNRujGw5OeR8qZ1HMujWmbWeavOKb89oHyUMbzucEK/mk2JcKaGCggs0ZOrsdu3ace7c1WwiSUlJlWZLLSswMJDZs2ezbNkyh/LRo0eTm5uL3W5HV+YNZenSpVx3XUkmkpUrV7Jp0ya2bNnikNr6Ci8vL6fpqcvz9PREry95+MlsNvPAAw8QFxdH+/btWbRokUM75fu6snzliARqllb7rrvuYt26dURFRbFy5UqnKQQac0rt7PUbkBr7WhiNBNwyTWOL6rPYLWw5u0WzbmKniXVqW2mcmmVQ6J2ofW61OabOHjJkCCdOnODUqVO0a9eO1atX89Hle9Wfeuophg4dWiGDa1mPPPIIQ4YMcXgTrepI4euvv+bFF19k+/btpZ+8y+vRo4fDJDgjR47kk08+4dprryU+Pp7Dh7XTm18JAKGhoeTl5bFmzRpmzJhRWv/xxx9z7bXXsmPHDgICApxmYS3P2d8hNzeXtm3bYrFY+PDDD50G1OPHj/Pb3/62Wn3Vt0uff65Z7jdpEoagut0ZtDd1L5eKKt5dphd6rm1/bZ3aVhondU3BBRoydbbBYOCNN95g0qRJ9O7dm1tvvZW+ffsCcPjwYdq0aVNpu6GhoUybNo2ioqJq/77z588nNzeXCRMmMGDAAObNm1dhHR8fH7p27crJkycBeOCBB7h48SJ9+vRh4cKF9O3bV/MNPTAwkPvuu4/IyEhYpwtkAAAgAElEQVQmTZrEkCFDHOo9PT0ZOHAg8+bNc3r+X4uzv8Ozzz7LsGHDGDlyJL169dLc1mKxcPLkSaKjq0wbU+/MCQnOLzDPvLXO7Ts7dTS0zVB1K2oz5baEeO6iEuJV36RJk9i8eXOtt6/r/lq7di379u3jueeew2azYbFY8PT05JdffuG6667j2LFjeHhU/znbmJgYli5dWu9vzmvXrmX//v08++yzFeoaOiHeheefJ/O/71co9+jYkS5ff6V5aq+6rHYr4z4ZR1ZRVoW6v434GzN6zNDYqmZUQryaaeoJ8ZQGVpeA4ArTpk0jIyMDKLlr6Nprr8VisSCl5M0336xRQGhIVquVRx99tKGHUYEsLiZ7g/bzAwHTptUpIADEXYjTDAh6oWdch3F1altpvFRQUNzq97//PQB+fn6UP8KrqYbKu99YryXk/fADtqyKb9oIQcBNU+vcvrNnE6LbRBPsWflMf0rT1WyuKTS102BK09fQr7lLa9dqlvtccw3Gtm3r1LaUkthzsZp1Ezuqu46as2YRFDw9PcnIyGjwf6RKyyGlJCMjA09Pzwbp35qZSZ6TI6eASu42q674zHjSCitOayIQ6tRRM9csTh9FRESQlJTExYuVT8VgNpsb7B9xU6T2V+U8PT0dHpCrTzmbNoG1Yp4ona8vfteNr3P7zo4SolpFEeoVWuf2lcarWQQFo9FI586dq1wvNjaWgQMH1sOImge1vxqvS59rnzryv+EGdC4I5M6CQkz7mDq3rTRuzeL0kaK0JOaEBIqcpGcPrOMTzAApeSkkZmq3r4JC86eCgqI0MdkbN2mWe3TujGdUVJ3b3560XbO8vV97lSa7BVBBQVGaGJ2nCb2pYnnAzTfX+dkEqPzUkSvaVxo3FRQUpYlp9dsYuk89T8SYDPw7FiD0JXfdBfzmxjq3bbFbOHHppGadynXUMjSLC82K0qIc/hShB7/wIvzCi7B3HEJBt4cwVjM7bmWMOiN/7fcBv/94LQbfBAx+8ehNafh7+DOg9QAXDF5p7FRQUJSmxG6HI585FOkGz8S3/2iXdbE1MR17YUeKCztSfHEyNw0xMWOYCaPOWPXGSpOngoKiNCVnd0NOmZn1jN7Qs+LMd7UlpWRLguNDazf37c/oiLrN8aw0HeqagqI0JYc/dVzueQOYfLXXrYXE1FxSsq9O2ONl1DOiq5pdrSVRQUFRmgprMcSvcyzr59pkfduPO2YFGNktBE+j3qV9KI2bCgqK0lT8shUKy2RF9QqCrq7NQxR7zPHU0die6rRRS6OCgqI0FeVPHfW5GQyum5Mir8hK3GnHVNwxPVq5rH2laVAXmhWlkbNmZWHetwefhC9xeHTMxaeOdp1Mx2q/mmm4Sysf2gdrz8GtNF8qKChKI5f79dekPrMYvYcffh2MBHQsxKtLKKLDCJf2E1vuesJYdZTQIqmgoCiNXPamLwCwFeu5dNKHSyd9MOz3Jqz/FvwnTKhz+3ZpZ+bGmfyS6o/BryvW/O5g91ZBoYVSQUFRGjFLcjKF+/ZVKLdmFaAPCHBJHwmZCSRmJYI3eHnvQUqBNHcgoTCZGOa6pA+l6VAXmhWlEcv+8kvNckNYGN7R0S7pY2fyTodlISQ6rzP8lLrLJe0rTYtbg4IQYrIQ4pgQ4qQQ4kkn69wqhIgXQhwVQnzkzvEoSlOTc/nUUXn+N96I0Lnmn2/5oHDFqHajXNK+0rS47fSREEIPLAMmAEnAXiHEBillfJl1ugNPASOllFlCCHVTtKJcZj5+nKJjxzTrXJERFSCnOIeDFw9q1o0MH+mSPpSmxZ1HCkOBk1LKX6WUxcBq4KZy69wHLJNSZgFIKSvOFK4oLVTOF9qnjjy6dMHUu7dL+vjx/I/YZMW5nkO9QukV3MslfShNizsvNLcDzpVZTgKGlVunB4AQYiegBxZJKb8u35AQYi6UXPEKCwsjNja2VgPKy8ur9bYtkdpfNePS/SUlIZ+t0fwHmtm3L+e2a8+OVlNrMtZolnfRdWG7i/qojHqN1Ux97K+GvvvIAHQHYoAI4HshRD8p5aWyK0kp3wXeBYiOjpYxMTG16iw2NpbabtsSqf1VM67cX4UHDnA6PUOzLmr+g3h07FjnPqSUPLvmWc26GYNnENM5ps59VEW9xmqmPvaXO08fJQPtyyxHXC4rKwnYIKW0SClPAccpCRKK0qJlO7nA7Nmvn0sCAsCJSydIK6h4xlYndIxo69oH45Smw51BYS/QXQjRWQjhAcwCNpRbZx0lRwkIIUIpOZ30qxvHpCiNnrRayfn6K806V11gBud3HUWGRhLoGeiyfpSmxW1BQUppBeYDm4EE4BMp5VEhxGIhxNTLq20GMoQQ8cA24HEppfYxs6K0EAV79mDTOnUkBH6TXTehzo7kHZrlo8LVragtmVuvKUgpvwS+LFf2dJmfJfDI5S9FUYDsL7RPHXkPG4YxzDV3bedb8tmftl+zTj2f0LKpJ5oVpRGxFxeT+823mnX+N97gsn5+SvkJq91aoTzQFEifkD4u60dpelRQUJRGJP/777Hn5lasMBjwnzjRZf04u54wInwEep2aaa0lU0FBURoRZ6eOfEePdlkCPCklO89rB4XR7Ua7pA+l6VJBQVEaCXt+PnnbYjXr/G903V1Hp3NOk5xX/u7wEiPC1a2oLZ0KCorSSORu3Yo0myuUCy9P/MZd67J+nJ066h3cm1CvUJf1ozRNKigoSiORvWmTZrnfuPHovF03LaazU0fqriMFVFBQlEbBmpVF/k7tN2tXnjoyW83EpcZp1o1sp7KiKiooKEqjYE27iGenthXKdf7++I5y3Zv1/gv7MdsqnqLyMfrQv1V/l/WjNF0qKChKI+DZswedZ4fQ9cYLtOqXg4e/BQD/SRMRHh4u68fZqaPhbYdj1Bld1o/SdDV0llRFUQAKMuHkd3j42Qjtm0dInzyKrnsfEeHaT+9dA7tisnbDrP8VIeyl5erUkXKFCgqK0hgkbAS7pXRRhHbDc9RUEMKl3YxteyOPnjQhhRmDz0n0Psdp3+6smmVNKaWCgqI0BkfKTXYTOcPlAQFgx8l0pASkJ9bcSHr5X8PGGaMQbuhLaZqqvKYghNgphHDdTdKKojjKOQ+nfnAs6zfDLV1tP3bRYXlsj1YqICgOqnOh+Q/AfCHEFiGEetxRUVzt8KeAvLrcNgpCXT/XlN0u+f6EY1AY072Vy/tRmrYqTx9JKY8A04UQg4DFlz9V/FVKedDdg1OUZk9KOLjasaz/LLd0FZ+SQ3pecemyr8nAoI5BbulLabpqckvqSeBZSqbU3Oee4ShKC5N6GNLiry4LvftOHR13PEq4pmsIRr26K11xVOWRghBiGyXzJhcC8Ze/7nLvsBSl+cvdug1T6nocnkLoNh58XTORTnnlg8LYnurUkVJRde4+ehRIkFIWunswitJS2AsLOf/449jz8/FuFYJ/p0L82xei7z/TLf3lmi3sP5PlUKauJyhaqnNNQXvOPkVRai1361bs+fkAFFw0UXDRxIV9AfgV7yb8n9NdekfQ2Zyz7Dp5Cav96sXsLq18aB/suiR7SvOhnlNQlAaQvX59hTJpF8iiYpffIvrOoXfY8MsGvLu0xpbXA2t+D0Z1j3FpH0rzoa4yKUo9s6ank79zl2ad/9SpLu3LLu2l8yfoTWl4hOzAu8MKNmXfx/4L6iSAUpEKCopSz3K++AJstgrlOn9/fMeOdWlfCRkJZJgzKpTbpZXuQa5/FkJp+lRQUJR6lr1+g2a5/403oHNhRlSA75O+1yyPahWFn4efS/tSmgcVFBSlHpkTEzHHx2vWBbj41BHA9qTtmuVjIsa4vC+leVBBQVHq0aU1n2mWGzt2wGvAAJf2lV6YztGMo5p1KigozqigoCj1xF5URPYG7VNHgdOmufyuox+SftAsD/cJp1tgN5f2pTQfKigoSj3J/fY77Dk5FSt0OgKmTXN5f86uJ4yOGK0yoypOqaCgKPXk0mdrNMt9Ro/CGBbm0r4sNgu7U3Zr1o2NcO0dTkrzooKCotSD4qQkCnb/qFkXOMP1CfD2pe0j35JfodxT78mQNkNc3p/SfKigoCj1IPvzzzXL9SEh+MXEuLy/7ee07zoa1nYYngZPl/enNB9uDQpCiMlCiGNCiJNCiCcrWW+6EEIKIaLdOR5FaQjSZuPS52s16wJuuglhNLq8zx+StS8yq7uOlKq4LSgIIfTAMuB6oA9wmxCij8Z6fsBDwE/uGouiNKT8XbuwpqZq1gXOmO7y/k5nn+ZMzhnNOhUUlKq480hhKHBSSvmrlLIYWA3cpLHes8ALgNmNY1GUBpO1arVmudfAgZi6dHF5f84eWOsR1IM2Pm1c3p/SvLgzS2o74FyZ5SRgWNkVLk/x2V5K+YUQ4nFnDQkh5gJzAcLCwoiNja3VgPLy8mq9bUuk9lfNaO0vXUYGodu2oXUDaGpkJKfdsH8/T9W+ftHJ1qnR/T3Va6xm6mN/NVjqbCGEDniZasziJqV8F3gXIDo6WsbU8sJcbGwstd22JVL7q2a09lfaK6+SIWWFdXV+fgx9+E/ovF07p0FGYQanPjmlWfe7Ub8jqlWUS/urK/Uaq5n62F/uPH2UDLQvsxxxuewKPyASiBVCnAaGAxvUxWalubAXF3Pp00816wKm3ezygAAQey4WScUg1MqrFf1C+7m8P6X5cWdQ2At0F0J0FkJ4ALOA0mf8pZTZUspQKWUnKWUn4EdgqpQyzo1jUpR6k7v5G2yZmZp1QbNuc0ufW85u0Swf12EcOqHuQFeq5rZXiZTSCswHNgMJwCdSyqNCiMVCCNeng1SURsZ76FBCx7bB4Ok4d4LPNSMwdens8v7yivP4MUX7AblxHca5vD+leXLrNQUp5ZfAl+XKnnaybow7x6Io9c3oWUyr8AOETrWTm+xJ1gkfCtJMBN7mnqOEHck7sNgtFcr9jH4MCVNPMSvVo+ZoVhR3ifsPSDtCB/7tzfgP7krRhP/i0dn1RwkAcRe0z7yOaT8Go971D8gpzZM6yago7lBcAHErHMuG3Iupe3eEwT2fxZ4c8hcMKQ9TlD4Om/lqgr3xHca7pT+leVJHCoriDgdXQWGZi8yeAdB/plu73H/2ElmXwoCJFF+ciJ9vFgumFDEyfKRb+1WaFxUUFMXV7Hb48U3HssF3g8nXrd1+eTjFYXlct77cFzXQrX0qzY86faQornZiM2ScvLqsM8DQuW7t0maXfFEuKFwfqVJaKDWngoKiuNruZY7LfW+BgHZu7XLPqUwu5haVLvuaDMT0bO3WPpXmSQUFRXERkZ+PTP4ZTpdLWz3iQbf3vfHQeYflCX3C8DTq3d6v0vyoawqK4iKBb73Nqdxkgjt64d+xEJ0e6DQawge4tV+rzc7XRxxTc0+JauvWPpXmSwUFRXGBgr178Th5kiIg5UIQaYf8Ce6eT+CNd7r9H9muXzLIzC8uXQ7wMjKqWys396o0V+r0kaK4QPpbbzss28x6Lh725/ST7yDtdrf1W2ApYONBx1NHk/qG4WFQ/7SV2lFHCopSR4UHD5K/a5dmXdDs2xA697xB5xbnct2n11GQG4ExoB+W3L5g92ZKVLhb+lNaBhUUFKWO0t9+R7NcHxBA4MxZbuv3m9PfUGAtAK/jeHodxyTXoTP3JE+vBya7rV+leVPHmIpSB+aEBPK2bdOsC7rzd+h9fdzW94ZfNjgsC2FDesWzPTnWbX0qzZ8KCopSBxdf/5dmuc7Xl+Dbb3dbv2dzzrI/bb9m3U1dtaZCV5TqUUFBUWqpYP/Pzo8S5sxB7+/vtr7LHyVcEeYdxtA2Q93Wr9L8qaCgKLUgpeTiK69o1gkvL4Lv/J3b+rZLu9OgMKXrFPQ69dCaUnsqKChKLeTv2EnB3r2adSF334UhONhtfcelxpGSn6JZN7WrmtRQqRsVFBSlhqTd7vQoQR8QQPDdd7u1/89OfKZZ3r9VfzoHuGcCH6XlUEFBUWoo54svMcfHa9aFzJ2L3s/PbX1nmjP59sy3mnXqArPiCiooKEoN2AsKSHvpJc06W2AgQXNmu7X/tSfWas7DbNJ7MqnTJLf2rbQMKigoSg1kvLcca2qqZl3+jTeg8/R0W992aefT459q1t3Q+XoCTAFu61tpOVRQUJRqspw/T8by5Zp1pu7dKLzmGrf2v+v8LpLzkjXrbu15q1v7VloOFRQUpZrSlr6ELCrSrGv95JOgd++toB8f+1izvE9IHyJDI93at9JyqKCgKNWQv2sXOV9+qVnne+21+I4c6db+z+acZfu57Zp1M3vOdGvfSsuigoKiVMFuNpOyaJF2pcFA2BN/dvsYPoj/AImsUO5r9GNyJ5X8TnEdFRQUpQrp77yD5ew5zbrgO+7Ao1Mnt/Z/yXyJtSfXadbd3O0mvI3ebu1faVlUUFCUKgRNmYhv+4oT5RjCwgh98AG39//J8U8ospkrlOuFnjv63OH2/pWWRQUFRamC8chbRFyTSruRmeg9baXlbf5vIXpfX7f2XWwr5qOEjzTrJnacSLivmlBHcS01yY6iVObkd7D/vwgB/u3N+IQVkZY+FpupI37XXef27teeWEuGOUOz7s6+d7q9f6XlUUFBUZwpyIR1DzoU6dt2o+3iT5DC/f90LDYL/z78b8266LBo+ob2dfsYlJZHnT5SFC1SwhePQF6Zp5eFDm5+CwwmhJufSQAw6Azc0v4RbAUdKtTdHenepHtKy+XWoCCEmCyEOCaEOCmEeFKj/hEhRLwQ4pAQYosQoqM7x6Mo1XZ4DRxd61g26hFoP6Reh7E5zp+CM/dTcPbe0uDQJ6QPo9uNrtdxKC2H246BhRB6YBkwAUgC9gohNkgpy6aX/BmIllIWCCHuB14E1JM4SsNKPwmbHnYsa9Mfxj5Rr8OIPXaRg0nZgMCW352C/G48P8eTHq2DEELU61iUlsOdJ0aHAiellL8CCCFWAzcBpUFBSll2LsMfAfdNaqsoVSg+cwadhw7D2t9Bce7VCr0Jbvk3GDzqbSw2u+SFrxMdyib1bcNt/aLrbQxKy+TOoNAOKPvETxIwrJL17wW+0qoQQswF5gKEhYURGxtbqwHl5eXVetuWqCXtL2E2E/zCixhzLtJhWCrera/WHe9yF+fjUyFeOzvqFa7cXz8kWUhMLXYouyYgu9n9PVrSa8wV6mN/NYq7j4QQtwPRwFiteinlu8C7ANHR0TImJqZW/cTGxlLbbVuilrK/pN1O0oIF5KWkIIEz20Jo1T+XkF55iH7T6TH9BXpU43SNq/ZXQbGVJ5bGOpTdPCCcO6cOrHPbjU1LeY25Sn3sL3cGhWSgfZnliMtlDoQQ1wF/BcZKKbVTUCqKG1185RXyvttytUAKLh70pzA7iPAHF6Ov5/P37/1wigs5V/8peBh0PDapZ72OQWm53Hn30V6guxCisxDCA5gFbCi7ghBiIPAOMFVKmebGsSiKpkufryXj3+9p1uWdtpH34/56Hc+5zALejD3pUHbvqM5EBKn8Rkr9cNuRgpTSKoSYD2wG9MAKKeVRIcRiIE5KuQH4J+ALfHr5boqzUsqp7hqTopSVt3MnKU8/7bQ+4JZb8J8ypV7GUmQr4q8//JVzp4djtniVlgf7eHB/TNd6GYOigJuvKUgpvwS+LFf2dJmf3Z8nQFE0FPz8M0kPzgerVbPea/Bg2iz6W73d+rn88HI2n9mM5BtMYddQdHEi2E08ObkX/p7GehmDokAjudCsKPXJfOwY5/7wB6S5YuZRAGNEBBH/eh2dR/3cgpqYmViazkIIiUfwTgx+h2lvn830QdfXyxgU5QqV5kJpUYpOnODsPfdiz8nVrNf5+tL+rTcxBAfXz3hsRTz1w1NY7Y5HLDpjDsmmtzmQ/nO9jENRrlBBQWkxzAkJnPndndgytLOOCqORiH+9jql793ob07/2/4uTl05q1o2NGMug1oPqbSyKAur0kdJCFB4+zNl7nR8hoNMR/vJL+IwYUW9j2pG8g/fj39es8zH68pdhf1HpLJR6p44UlGYv7/vvOXvnXc4DAtD2uefwnzCh3saUlJvEE98/oTnvMsBfhj2lJtBRGoQKCkqzlvXJJ5y7/wHsBQVO1wlbuJDAW6bV25jMVjOPxD5CTnGOZv11Ha5jSpf6uRVWUcpTp4+UZknabFx89VWnD6YBIARtFi0iaOat9TYuu7Tzfzv/j4TMBM36UK9Qnh7xtDptpDQYFRSUZsealcX5Rx8jf9cu5yvpdLRdsoTAaTfX38CAV/a9wtenv9as0ws9S8cuJcgzqF7HpChlqaCgNCu2nBxO3TIda0qK03WE0Uj4iy/gf339PgPwQfwHrDy60mn9o9GPMjhscP0NSFE0qGsKSrOiN9rxa6/9lDKAzt+fDiuW13tAWJW4ihf3vui0fnKnydzeW00nojQ8FRSU5uPX7fDWNYR1PIhXaMWEu8aICDqtXoX3kPqdUnN14mr+/tPfndb3b9WfZ0c+q64jKI2CCgpK02cphK+fgvenQk4yQg/tRmah97SVruI9dCidPl6NqUuXehuWlJK3Dr7Fkp+WOF2no19H3hj3Bp4Gz3obl6JURl1TUJq2X2Phi0chw/GpYKOXnXZTQjj7eS4hd99Fqz/9CWGov5e7xW7huR+f4/MTnztdJ9gzmLeue0tdWFYaFRUUlCbFkpaGEAKDl4TNf4XDn2isJeCaP+IzbiFd77uAR4cO9TrG9MJ0/vz9n9mbutfpOkGmIJZPXE57//ZO11GUhqCCgtIk2PLyyVyxnIz//Af/gR0I7/4zFGVXXDGgA0x7GzqNBKj3gABgtdk4knbCaX2QKYgVk1bQLahbPY5KUapHBQWlUbPl5ZG1ahWZ/1mJLTMTgOxdxwj2z8czsOyaAgbfBRMWg6d/QwwVgIy8Iv78yRkykn6LV4f3EMIxjUUb7za8PeFtugaqiXOUxkkFBaVRsmZlkfXBB2T+738aOYsEaQf96TC2JEgQ1g9+8wq0r9+7isrbm2rl0Ve+JyO/GOhK8cVJmFpffVCtR1AP3hz/JmE+YQ03SEWpggoKSqNiTkgg66OPyN64yekkOAD5KZ7kZwbhM+sxGDYP9A33Uk7LMfPsFwlsPOh4G2xxxhg8fc8hvY8yMnwkS8cuxdfDt4FGqSjVo4KC0uDshYXkfvstWR+tovDAgWpvl3Z+MJ1GPFjv9/fnFufibfDGaocVO07zxtYT5BfbKqw3uGMI/5jxOrvSvuL23rej1+nrdZyKUhsqKCgNQtpsFOzZQ/b6DeR+802lWUy1+I4bR+tHHq7XgJBdlM2HCR/yQfz/mNTmQbbGhXM2s+K4jXrBH8d15/6Yrhj1Orq3urPexqgodaWCglJvpMVCQVwcuVu2kvvtt1gvXKhxG97R0bT600N4R0e7YYTaEjMTWZ24mk2/fkGRreSU1icn/kNB5kOUf/6zT1t/lv42ij7hDXexW1HqQgUFxe3yf9rDpTVryNu+HXuO9hwCVfEZM5rQP/wB78H1kzAuy5zFN6e/YeOvGzl48WCFer3nBQx+R7Hm9gMgwMvIlE6CRbePxKBXiQKUpksFBcW9ivIo2LyanI1f1XxbgwH/SZMIvuduvPr2df3YyskozGBH8g6+OfMNO5N3YZPOE+sBeIRugfxIZg/rxMPX9eDg3l0qIChNngoKSq1JWXIPvsN5fWsxJO2FU9tLEtQlx+GTJkinVbXbNbRpQ9CsmQTOmIEhNNTVwy5lsVtIyEhg5/md/JD0A0fSjzidHlOL3jOV5+YIZvWNdNsYFaW+qaCgVIu027GcO4f52DGKjh3HfCyRwoMHaf/CM3gF5ZcEgqQ4SN4P1kKHbb2CQWewY7c6/xQtjEZ8r72WgJum4jt2rFvyFOUV53E04yj7L+xnX9o+DqYdxGxzfttrVUa1G0VUm/pLsKco9UEFBcWBLC6mOCmZ4jOn8d6yhZQtWyk6fhzziePIgsIK6xf863a8euZX2qbQgXfrYvLOV8wE6hU9mICpU/GfNAl9QIDLfo+yjmUe4+HYhzmXe67ObRl0BiZ2nMgdfe4gMlQdISjNjwoKLYy02bCmZ2BNOY8lNRVLSiqW5GSKT5+m+MwZLMnJYLcD4AdcqqK9wnQPqCIoENINn+gO5G1IRBiNeI8Yjt+48fheey3GsNa1+j3s0k56YTp6oSfEK8Txd5SSi7lFHL+Qx9Hz2fycnMo5S90CQph3GL/t8Vum95hOqJf7TmkpSkNTQaGFuLRmDelvvoUlLQ2slV9ArYnCDGPFQr+20HksdBkLncdAQAS+SckYxh3GZ9Qo9L7On+q1Szs5RTlkmjPJMGeQac4k05zJhfwLpBakkpKXwoWCC1zIv4BVWpna8Q6GBd3OrxfzOJWez68X8zmVnk9ekePv6NPNH52xZnc++Xn4MbHjRG7sciODWg9SD58pLYIKCo2ElBJpNmMvLMSem4stJxd7bg62nFxsuTnYc3Kx5eRULMvKosuG9QgdkH/x8lf65e9pJd9zLyB3JGI5n+7ycVsLDFgCB2HsNRwioiFiCAS0h3IPlSX5FnG0u4Wcc+vJK84jtziXPEseOcU55BSXBIHMwkwuFV3CJis+HezMZweP8GHKz1WuZzeHVysohHmHMSZiDGMjxjIifAQeeo9qj0VRmoMWFRREfj6WC2kg7WC3I+2yzM92kPLqz3aNdaxWpMWCLC4u+X75Z8++fTF1rTzrpSwuJumhP5W86RcWIAsKL/9c8iULC0v6r4WiZ7vjqa/8RI80m4CQStepDZsOiocuwXjNNSX9SEmxzY652E5ukYWcQiu5ZgtrT23gi6TlLu9fGKs6wXV5nOZwDH6JFcp9jD4MaDWA6DbRjIkYQ/fA7mpaTKVFc2tQEEJMBl4D9MB7Usp/lKs3Ae8Dg4EMYKaU8rTLB2LOBmsx1rf+zsmTmS5vPm1GJGNvmgQ2C1iLSr7bisBWXLJcnBn37/QAAAjUSURBVA/F+eRu+xF3vN0cMhcz1KfydTJd8ICt2QhnWsPZ1oIzrQRnWgtOtQGvHfmYt36H2WKj0GLDZq8Y3IyBGXi2rfsYytMZNeZUAHw89HRu5UOvNv5EhvtjNllYdnQr7Xzb0SekDwNbD2Rw2GB6BPXAoGtRn40UpVJu+9cghNADy4AJQBKwVwixQUoZX2a1e4EsKWU3IcQs4AVgpqvHcuadmXTM2k2xpQ3umJY679w++OKbStcRQJExHE+Ly7sHsx6qCApGLzvV7fqSN6QGQ0qQIDVYkBwCZ1oL0gJBanyKzriUC3ZTpW1Ku3vmINYZsxnXK5TOoX50aeVDl1BfurTyobWfyeETv9naltv6XUuAyT13OClKc+HOj0hDgZNSyl8BhBCrgZuAskHhJmDR5Z/XAG8IIYSUtTyP4sSlQisdXdlgOcJevfWKjbglKMhCgU0KMvEnXfqTLgPIwJ8MGUC6DCAdf87qTTzm+Rm+Zsg3QYY/pPsJMgJKvqcFQkqwICUICj1rdjwjRDGSKoKCzasuv6ImX6MvbXza8Or1vfH3qPxQyNPgiafBPYFJUZoTdwaFdkDZ+wCTgGHO1pFSWoUQ2ZSc+Ha4IiqEmAvMBQgLCyM2NrZGA/GxlFy4lG46VSxs1Wu4SONGHVfYlD+SWUVzkJUcBQlyeerOdeT4QKHJxTtCVwxlrg3rBXjowcsg8DKAt0EgvLxJqWZzJmHCT++Hr8635LveFz+dH0GGoJIvfcl3L11JoNm/a79rf59aysvLq/Frs6VT+6xm6mN/NYmTqVLKd4F3AaKjo2VMTEyNtt+95zXS8/2xu+kCYqYtgA+tURRjoBgDFgwUS2PJd/QU4kmBNHGDcT1UkkahWF8SOApNkO8J+SZBgWfJJ/t8T8j3FBSU/lyynO8JqQX98LYa0ekEep1ALwQ6ncCgE3gYdBj1OvQGPecD3PP7r7xnAL1DeuDpocfLqMeokf/nfN55Xt3/K/4e/vgaffHz8MPPw6/052DPYII9gwnyDGqyn+hjY2Op6WuzpVP7rGbqY3+5MygkA+3LLEdcLtNaJ0kIYQACKLng7FIeM5cTl1tERsJ0gnyzkKLkqMF++bukzM/C+c9WHVj1Aqsehy8GDWPAzCUIrtyJKRCC0ovKQggE8LpfLGZzDkUeArOxJACYPUq+FxnBrqvZm7Ze6NELPf8cO5zxHcZXum6BpYB7N0di1Bsx6sp86Y0YdAaMOiMeeg+HuuRzyXTv0h2jzoiXwav0FIyX/urPnnpPOgV0wqSv/PRRuG84L455sUa/n6Io9c+dQWEv0F0I0ZmSN/9ZwOxy62wA7gR2AzOAra6+ngAwuGMwAP+59z7MvTsgrvwnSr7rhODKY0llywUl7+wVyriaBE4gCPcNJ9w3uMpx/PkPK7FKKwKBXujRCZ3jd93V5Qp1Qode57hcE95Gb1b9ZlWNtonNjSWmf0yNtlEUpWlzW1C4fI1gPrCZkltSV0gpjwohFgNxUsoNwHLgAyHESSCTksDhNp1NnYnpEOPOLirVM7hng/WtKIpSHW69piD/v737CbGbCsM4/L4IorbQhSKU+h9EqMyiIK5dqExBrKhFxZUMQhe6EkFBHFBBF64qYmlRRkS0UkS0VF2JbkQq4kIdhFIQ60ZxpYKI8rm44XiJc9OcTHKTm/t74MLk3GTm4+VMvklmJifilKRTpbGnpz7+U9LBLmsAANTHiiAAgISmAABIaAoAgISmAABI3MFfgHbK9i+Sfig2d0kqPxGtPDa9fZlK/y3doq1qaeu4qn1mvVd3fNnyqno/dz6Vt8krLy+pu8zI6/+ujojzL5YeEQv7knT0fGPT25r8KezcamnruKp9Zr1Xd3zZ8srNjLy6y6vLzMir+WvRbx99UGNsq3260PTr1Dmuap9Z79UdX7a8qt5vMp/Iq3qMvKrHh5JXsnC3j7bD9pcRcVPfdSwK8spDXvnILM888lr0K4VcR/suYMGQVx7yykdmeTrPa6muFAAA1ZbtSgEAUIGmAABIaAoAgISmAABIaAoF23fZPmb7uO3b+65n6GxfZ/tV2yf6rmWobO+w/Xoxrx7su56hY07l6eqcNYqmYPs12z/b/qY0vmr7e9tnbD9R9Tki4r2IeFjSIUn3dVlv31rK62xErHVb6fBkZne3pBPFvLpz7sUOQE5eyzqnpmXm1ck5axRNQdKGpNXpAdsXSHpZ0n5JeyU9YHuv7RXbJ0uvy6cOfao4bsw21F5ey2ZDNbPTZF3yH4vd/pljjUOyofp5oVlerZ6zOl15bV4i4jPb15SGb5Z0JiLOSpLttyUdiIjnJd1R/hyeLLr8gqQPI+KrbivuVxt5Lauc7CSd06QxfK3x/ACWJTOv7+Zb3fDk5GV7Ux2cs8Y8Uffov5/SpMk36J6K/R+VdKuke20f6rKwgcrKy/alto9I2mf7ya6LG7hZ2b0r6R7br6iHZ9gM2JZ5MadmmjW/OjlnjeJKoQ0RcVjS4b7rWBQR8asm9zIxQ0T8IemhvutYFMypPF2ds8Z8pfCTpCuntq8oxrA18mqO7PKQV5655jXmpnBa0vW2r7V9oaT7Jb3fc01DRl7NkV0e8soz17xG0RRsvyXpc0k32D5ney0i/pb0iKSPJW1Keicivu2zzqEgr+bILg955RlCXjwlFQCQjOJKAQDQDpoCACChKQAAEpoCACChKQAAEpoCACChKQAAEpoCACChKQAN2f7E9m3Fx8/ZfqnvmoDt4impQHPrkp4pFh3apyVdXQ3jwmMugG2w/amknZJuiYjfpsaPSzodES/2VhzQALePgIZsr0jaLemvUkM4IOmkpJW+agOaoikADdjeLelNTZaR/N32ajF+kaSDEfGGpF09lgg0QlMAMtm+RJOlNh+LiE1Jz2ry+wVJelzSzmJZyRttX9xTmUAj/E4BaIntqyStR8Rasb0u6aOI+KLfyoD6aAoAgITbRwCAhKYAAEhoCgCAhKYAAEhoCgCAhKYAAEhoCgCAhKYAAEj+BfF56pYPeTQHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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06MHYsWOJj69wzDkAQkNDefvtt7nnnnvo2bMngwcPJjMzk7vvvpv58+fTs2dPduzYUeyMpaiVK1dy/fXVPwmTY6OkOqXOjJLqK9+uQhffjmSUPba8BgUjw/8MvYs/xheQ/XUebJTUik2fPp1JkybRo0cPwPejpJ49e5ZBgwbx+eef43K5Coc7z83NZfTo0UyePLlUMizPq6++yvr165kzZ46DUf/gXH9lZWUxcOBA1qxZQ3Bw6Qs+NXWUVFMTtBuA3LUaLir7lFryc2HpNPhstr3sZhw1e/bswoTgDxERETz++OMcPOgesPmxxx6jV69edOvWjXbt2jFq1Ci/xeaN/fv3M2vWLI8J4XzZPYVA0LAF/OSfsHw6bHil7HYrn4T0wzD0KXsyydRZ1113XeHnp59++rz2ddtttzn2ZnF5YmNjiY2NdWTfdqYQKFwhMPxZGPY0KuX84K+bB+/cCjmVe0LDOKe2Xdo1NcP5fm8sKQQSEeg7BfnxErS8R1G3L4MFNxOUV/qNUOMb4eHhpKamWmIwXlFVUlNTy3yMtTLs8lEgaj8ImfwR+sYY5FQZk+HtSaRH6jG4sr97EiDjUzExMaSkpHD06FF/h+KozMzM8/oBCzSV6a/w8HBiYmKqfAxLCoGqeSfk9o/hjbFwdLvHJo3TvoY3xsDEd+wlNx8LCQmhXbt2/g7DcYmJicTFxfk7jFrDF/1ll48CWWQrmPwBtLm87DYH/geLJ/suJmOMX1lSCHQRF8Ck96Cj5wHLTmk93mv8Ux8HZYzxF0eTgogMEZGdIpIsIg+W0eYmEdkmIkki8panNsZhIRFw0+vQ+YZixekazq3ZM/jlGmH+F3v9E5sxxqccSwoi4gJeAIYCXYAJItKlRJtY4CGgv6p2Be5zKh5TgeBQGPcKdBsLwBkN47bsB/hK3c9C/3ZpEovWH/BnhMYYH3DyRnNfIFlV9wCIyEJgJFB0+M4pwAuqegJAVcsei8E4zxUCY16EsIbsueBqtix3QZEnIh9csoV6oS6G92jpvxiNMY5ybOwjERkHDFHVOwrWJwH9VHVakTbvA7uA/oALeExVP/Swr6nAVIDo6Og+VZ1t6Nw4J6Zy1h5IZ+42IbfIV8QlcE9cGL2a24NrJdn3y3vWZ945n/4aNGhQpcY+8vf/2cFALJAAxACrRKS7qp4s2khV5wJzwT0gXlUHHbMB3ryUmEiPuE78/K2N5OW7M0Oewl+35PDa5Dguu7ipnwOsWez75T3rM+/4or+cvNF8EGhdZD2moKyoFGCpquao6re4zxqcGdDDVMmQbi340409KTqPSHZuPlNfW8+uI6chO8N/wRljqp2TSWEdECsi7UQkFBgPLC3R5n3cZwmISDOgI7DHwZhMFYyKa8XvRxeffORUZi6/m7eAvOd6Q9L7forMGFPdHEsKqpoLTANWANuBRaqaJCIzRWREQbMVQKqIbANWAtNVNdWpmEzVTejbhunXXVK4PjBoM3/N/jWujMPou1Nh3xd+jM4YU10cvaegqsuB5SXKHi3yWYH7CxZTw92d0J5DJ8+Svf41/hA8j2DJB0DystAFE9zDZkR19HOUxpjzYW80m0oTEZ6IXsXskLmFCaGwLvMkuuBmOHPcT9EZY6qDJQXjlaC2V6AhnueMleN7YPFPIS/XY70xpuazpGC80zIOuWl+2RP17EmEFQ/7NCRjTPWxpGC8FzsYGf5s2fVr/wHrX/ZdPMaYamNJwVRNn1vhsrvLrNbl0+Hb1T4MyBhTHSwpmKob/AS0v9pjleTnou/cCmkpPg7KGHM+LCmYqnMFw7iX0aaeX0KXM6mw6FbItbmejaktLCmY8xPRGLnlbbSs6ToPrrcbz8bUIpYUzPlr2h65cT4qZXyd1s2DzW/7NiZjTJVYUjDVo/0g5OpHy6zWZb+Aw1/7MCBjTFVYUjDVp/990Gm4xyrJPYsumgSZaT4OyhjjDUsKpvqIwKi/ok3ae64+vgeW3gsOTexkjDl/lhRM9QqPRG5+HQ2O8Fy/7X3YON+3MRljKs2Sgql+0V2RG54rs1o/eBC+3+7DgIwxlWVJwTij580Qf7vHKs3NtPkXjKmhLCkY51z3e4juVqzosF7AxOyHeT94iJ+CMsaUx5KCcU5IuPuN55B6AHya14thWX/gy/yuPPLeVvYes/mdjalpLCkYZ0Vdglz/J45c/ih36QyO0wiAjOw87lnwFdm5+RXswBjjS44mBREZIiI7RSRZRB70UH+biBwVkU0Fyx1OxmP8pNctRF/3Kx4d3rVY8daDafzpo51+CsoY44ljSUFEXMALwFCgCzBBRLp4aPq2qvYqWOY5FY/xv4n92jC0W4tiZXNX7+F/e1L9FJExpiQnzxT6AsmqukdVs4GFwEgHj2dqOBFh1pgeXBgZXlimCvcv2szpzBw/RmaMOUfUobdLRWQcMERV7yhYnwT0U9VpRdrcBvwBOArsAn6pqgc87GsqMBUgOjq6z8KFC6sUU3p6Og0aNKjStoHIqf7alprHU+syi5X1bxnMlB5h1X4sX7Lvl/esz7xzPv01aNCgDaoaX1G74CrtvfosAxaoapaI3AnMB35UspGqzgXmAsTHx2tCQkKVDpaYmEhVtw1ETvVXApAato2X1nxbWPb5oVx+3lO5IvQbuPzn1X5MX7Dvl/esz7zji/5y8vLRQaB1kfWYgrJCqpqqqudmYJkH9HEwHlODTL/uEjpGu//FE0wuvwxeTN+VE9AVj8DeNX6OzpjA5WRSWAfEikg7EQkFxgNLizYQkQuLrI4AbOyDABEe4uLZm3vR0fUdi0Mf4xfB7xJMPoKi791po6ka4yeOJQVVzQWmAStw/9gvUtUkEZkpIiMKmt0rIkkishm4F7jNqXhMzdM1Yx3/DnuEXkF7ipVLWgp8+JCfojImsDl6T0FVlwPLS5Q9WuTzQ4D93x+oWvYiOKIRZGSWrtv0JnQZBR2v9X1cxgQwe6PZ+E/9ZsjIOWVW67JfwNmTPgzIGGNJwfhXx+ugz20eq+T0IVjxiG/jMSbAWVIw/nftk2hkjOe6TW/A7o99G48xAcySgvG/sIbIiHIuIy29155GMsZHLCmYmqH9oAouIz3s23iMCVCWFEzNMfiJsi8jffUG7P6Pb+MxJgBZUjA1R3gjZMRfyqzWZXYZyRinWVIwNUv7H0HvWz1WyamD8NGvfRyQMYHFkoKpea59Em1UxmWkja/Bt6t8G48xAcSSgql5whshI54vs1qX3gs5Z30YkDGBw5KCqZk6XA1xkzxWyYlvIXGWjwMyJjBYUjA117VPog1aeKzSL/4C3232cUDG1H2WFEzNFdEYuf5pj1WiebD0HsjL9XFQxtRtlhRMzdb5BvfiyXebYf1Lvo3HmDrOkoKp+YbORsMaFSvKV+Ed1/Wc6Xqzn4Iypm6ypGBqvkYXItc+Wbi6Mz+GsdmPMT1jIs8kHvJjYMbUPZYUTO3Q+yfQ/mpWtpzC8Ozf85XGAvDy59+y+YDNuWBMdbGkYGoHEZi4mL63zqJ544aFxfkKM5ZsIScv34/BGVN3WFIwtUdQEPXDgvnd6G7FinccPs3cVXvK2MgY4w1Hk4KIDBGRnSKSLCIPltNurIioiMQ7GY+pGxIuac7ouFbFyp77ZDffHE33U0TG1B2OJQURcQEvAEOBLsAEEenioV1D4BfA/5yKxdQ9vxnehSb1QwvXs3PzeWjJVvLz1Y9RGVP7OXmm0BdIVtU9qpoNLARGemj3BPBHINPBWEwd06R+KL+9ofi/MdbuPc7CdQcgP89PURlT+wU7uO9WwIEi6ylAv6INRKQ30FpV/y0i08vakYhMBaYCREdHk5iYWKWA0tPTq7xtIKrp/dVIlR5RLrYc/SEJfLBsETesfJnkTtNIa1zqxNRRNb2/aiLrM+/4or+cTArlEpEg4BngtoraqupcYC5AfHy8JiQkVOmYiYmJVHXbQFQb+qtj3FkGP/MZwdmneDB4AbcEfwqZEJfyCgxfA8FhPoulNvRXTWN95h1f9JeTl48OAq2LrMcUlJ3TEOgGJIrIXuAyYKndbDbeaNU4gjm9Uvg4bLo7IZxzbBes/pP/AjOmlnIyKawDYkWknYiEAuOBpecqVTVNVZupaltVbQv8FxihqusdjMnUNVmnGfTNLKKl9AtsuvoZOLLND0EZU3s5lhRUNReYBqwAtgOLVDVJRGaKyAinjmsCTFhDZOhTHqskP8c9kqrdeDam0hx9T0FVl6tqR1Vtr6q/Kyh7VFWXemibYGcJpkq6joaOQzzXHVwP6+b5Nh5jajF7o9nUfiJw/Z/Q0AYeq/U/j8PJAx7rjDHFVZgURORzERnki2CMqbLIGOSaxzxWSU4G/Pt+UHuxzZiKVOZM4U5gmoh8IiKXOx2QMVUWfzvE9PVct/sj+HqJb+MxphaqMCmo6teqOhaYDjwiIv8SkZ7Oh2aMl4KCYMRf0KAQj9X6wQw4c9zHQRlTu3hzTyEZ95AUB4ENzoRjzHlq3gm56lceq+TMMVjxiI8DMqZ2qcw9hZUikoI7ETwMHKcSbyEb4zdX3Q/NLvFct/kt+OZTz3XGmEqdKfwKiFXVWFUdqaoPqeobTgdmTJUFh7kvIyEeq3XZfZCd4eOgjKkdKnNPYaOqnvVFMMZUmzb9kEvv8FglJ/dB4h98HJAxtYO9p2DqrqsfRRu29FilX74Ah77ycUDG1HyWFEzdFd4Iud7zoHii+e4hMPJyfByUMTWbJQVTt3Ua5h4Gw5PDW+HLOb6Nx5gazpKCqfuGPoWGN/ZYpYmzIPUbHwdkTM1lScHUfQ2aI9c+6bFKcjPhf3/3cUDG1FyWFExgiPsxtBtQrOiMhvG73Ils7jrDT0EZU/NYUjCBQQSG/xkNDgdgVV53rs3+Iy/mXs+M97aRk5fv5wCNqRn8NkezMT7XtD1y7ZNsP678JLElFLzctuPwaeau2sPPB3Xwb3zG1AB2pmACS98pdB4yldFxMcWKn/tkN3uOpvspKGNqDksKJiD9ZngXmtQPLVzPzs3noXe3kp9vcy6YwOZoUhCRISKyU0SSReRBD/V3ichWEdkkImtEpIuT8RhzTpP6ofxmeOdiZf/79jhvrt3vp4iMqRkcSwoi4gJeAIYCXYAJHn7031LV7qraC3gKeMapeIwpaVSvVgzoGFWs7A/Lt7M/9YyfIjLG/5w8U+gLJKvqHlXNBhYCI4s2UNVTRVbrA3bubnxGRPj96G7UD3UVlp3JzmP64s3kH98HZ0/4MTpj/MPJp49aAUVnS08B+pVsJCI/B+4HQoEfedqRiEwFpgJER0eTmJhYpYDS09OrvG0gCpT+ujHWxatJeQVrSrv9i8n5yxucaH4ZOzr/stL7CZT+qk7WZ97xRX+JOjSZuYiMA4ao6h0F65OAfqo6rYz2twDXqeqt5e03Pj5e169fX6WYEhMTSUhIqNK2gShQ+ktV+cnLa0nevZNZIS8y0LXlh8rxb0Gn6yu1n0Dpr+pkfead8+kvEdmgqvEVtXPyTOEg0LrIekxBWVkWAn9zMB5jPBIRnu+8neD9D9JQik8dosvuQ9pcDvWa+Ck6Y3zLyXsK64BYEWknIqHAeGBp0QYiEltk9Xpgt4PxGFOmC45vKZUQACTje1j+f36IyBj/cCwpqGouMA1YAWwHFqlqkojMFJERBc2miUiSiGzCfV+h3EtHxjhm8Ey08UWe675eAknv+zYeY/zE0WEuVHU5sLxE2aNFPv/CyeMbU2lhDZBRf4VXPd8/0H/fj1zUHxpEeaw3pq6wN5qNOaftldDvLo9VciYVlk4Dhx7MMKamsKRgTFFX/xZtcrHnul0fwvqXfRuPMT5mScGYokLrIaP+hhaMoFqSrngEju7ycVDG+I4lBWNKanMZ0t/z7S7JPQvv3gG52T4OyhjfsKRgjCeDHoELe3qu+24zJP7et/EY4yOWFIzxJDgUxsxDgyM8VuuaP8PeNT4OyhjnWVIwpixRHZHrnvRYJSj67p1w9qSPgzLGWZYUjClP/O3QcYjHKjmVAsvutcdUTZ1iScGY8ojAiDlo/TJeWtv2T1g3z7cxGeMgSwrGVKRBFDLyr2VW64qH3TefjakDLCkYUxkdr4W+Uz1WSV42uuhWXLk2Y5up/SwpGFN7JQrcAAATe0lEQVRZg5+AFt09VsmJb4lJWeqxzpjaxJKCMZUVEg43zkdDG5Sq+lveKFZfMMYPQRlTvSwpGOONpu2REc8Xrh7TRvwkewZ/zLmJFzbncjozx4/BGXP+LCkY461uYyF+MseaXcqwrD+wKt/95vORM8oDi7fg1BS3xviCJQVjqmLILJr97EOu6Vd8KIwPvj7M3z/b46egjDl/lhSMqYrgMHAF8+jwLnS+sFGxqqdW7OCzXUf9FJgx58eSgjHnITzExdxJfWhcL6SwTBXuXfAV+1PtEVVT+ziaFERkiIjsFJFkEXnQQ/39IrJNRLaIyCciUsYkucbUXK2b1OP58XHFZmBIO5vD1NfXcyY7129xGVMVjiUFEXEBLwBDgS7ABBHpUqLZV0C8qvYAFgNPORWPMU4a0DGKcR1DipXtOHyapxZ+hL79Y8hI9VNkxnjHyTOFvkCyqu5R1WxgITCyaANVXamq586x/wvEOBiPMY4a1i6EYd1bFK73D9rKvd9MQbYvg7cnQm6WH6MzpnKCHdx3K+BAkfUUoF857W8HPvBUISJTgakA0dHRJCYmVimg9PT0Km8biKy/vJORkcGIaNi8B4Zl/osHgxfgkoLHU/d/yeEXb2JHp/vcg+wZwL5j3vJFfzmZFCpNRH4MxAMDPdWr6lxgLkB8fLwmJCRU6TiJiYlUddtAZP3lncTERBIGXMWVR35Kg93/LFXf4kgiLbr0h4EP+CG6msm+Y97xRX85efnoINC6yHpMQVkxInIN8AgwQlXt/NrUbkEuGkSV87zEyt/B1sW+i8cYLzmZFNYBsSLSTkRCgfFAsRHDRCQO+AfuhPC9g7EY4zvXPA6dhpdZre/fDfu+9GFAxlSeY0lBVXOBacAKYDuwSFWTRGSmiIwoaDYbaAC8IyKbRMSGmTS1X1AQjJkLF/byWC15WehbN8GRJB8HZkzFHL2noKrLgeUlyh4t8vkaJ49vjN+E1ocJC9F5VyOnSl01RbJOoa+PQW7/CC6w13NMzWFvNBvjlEYXIhMWoiH1PVZL+mH0jTGQcczHgRlTNksKxjjpwh7Ija+g4vJYLanJ8OY4yDrt48CM8cySgjFO63gdMnJO2fWHvoK3xkN2hu9iMqYMlhSM8YVet8DgmWXX71sDC8ZDzlnfxWSMB5YUjPGV/r+Ay6eVXf/tKlh4C+Rk+i4mY0qwpGCMLw1+AnqML7v+m0/h7R/bOEnGbywpGONLQUEwck65L7eR/DEsnAjZNh+D8T1LCsb4misExr0CHYeW3Sb5Y/dTSZmnfBeXMVhSMMY/gkPhpvkQe22ZTU59v99uPBufs6RgjL8Eh8FNr0P7H5WqOqRNGHby/3hhvb2/YHzLkoIx/hQSDuPfgvZXFxYd00ZMyn6IFI1i9oqd/OGD7aiqH4M0gcSSgjH+FhIBExZA5xvIDWnIlPyH+EZbFVb/47M93Pf2JrJy8/wYpAkUlhSMqQmCw2DcqwRP/ZSHJo+nYVjxsSr/uekQk15ay8kz2X4K0AQKSwrG1BSuYIjqSN92TVgw9TKa1g8tVr322+OM+dsX7E+1R1WNcywpGFMDdWsVyXt39+fiqOIjrO45msHov37O/3YdhBWPwNmTforQ1FWWFIypodo0rce7P7uCvm2bFCtPzcji4Ot3wpdz0BcHwffb/RShqYssKRhTgzWuF8rrd/RlRM+WhWU/cX3EGNdqAOT4HvTFq+Hrd/0VoqljLCkYU8OFBbv48829uO+aWPrKdn4T/EaxesnJgMU/haX32tAY5rw5mhREZIiI7BSRZBF50EP9ABHZKCK5IjLOyViMqc2CgoT7+jXi9UZ/JUTKeDR143yYmwCHv/ZpbKZucSwpiIgLeAEYCnQBJohIlxLN9gO3AW85FYcxdUa9poT1rODfTsd2oi/+CP77d8jP901cpk5x8kyhL5CsqntUNRtYCIws2kBV96rqFsC+vcZUxBUCw56CUX9DXWFlNpO8LPhwBswfDqnf+DBAUxeIU6/PF1wOGqKqdxSsTwL6qWqpWUZE5FXgX6q6uIx9TQWmAkRHR/dZuHBhlWJKT0+nQYMGVdo2EFl/eceX/dXgdDJdkmZTL/Nwue3ygkL5tt2PSYkZDmXME+1P9h3zzvn016BBgzaoanxF7YIralATqOpcYC5AfHy8JiQkVGk/iYmJVHXbQGT95R3f9lcCDL4J/v0r2LqozFau/Gw6fPMyHbK2wrCnoWUvH8VXOfYd844v+svJy0cHgdZF1mMKyowx1SG8EYx9EUb/Aw2pX37blHXudxr+/Ss4e8I38ZlaycmksA6IFZF2IhIKjAeWOng8YwJTz/HIXash5tJym4nmw7p56F/6wIb5kG8D7JnSHEsKqpoLTANWANuBRaqaJCIzRWQEgIhcKiIpwI3AP0Qkyal4jKnTmraHySvg2ifR4PBym8qZVFh2L/ytP+z8EGxYblOEo+8pqOpyVe2oqu1V9XcFZY+q6tKCz+tUNUZV66tqU1Xt6mQ8xtRpQS644h7krs+h9WUVtz+6HRbcDIe+cj42U2vYG83G1DXNOsBPl8Owp9GwRuU2/TQvjv/7wsXBkzbtp3GzpGBMXRTkgr5TkHs2Qq+JHpvkq/DH3JtZvCGFhNkreejdLexLzfBxoKamsaRgTF3WIApG/RUmfwQtehSrejf/KnZqGwBy8pQFaw8w6OlEfvn2JnYfsbmhA5UlBWMCQZt+MDXR/fhqZAx5QaG8G3lrqWb5Cu99dZDBz67ip6+s5bNdR8lPXgmf/g5OfefzsI3v1YqX14wx1SDI5X58tcsoXAfX81rrK3h340HmrExm//HSo6uu3HmUlTuPsrj+U8TnbULXPIN0HOK+HBU72D3shqlzLCkYE2hCwqHtlQQDN13amjG9W7FsyyFeWPkNyd+nF2vaQVKIz9sEgOTnwo5/wY5/ofWjkB43Q69bINoeGqxLLCkYE+CCXUGMjothZM9WrEg6zN8++4YtKWkA3Or6yOM2knEUvpzjXppdAl1HQZdR0LwziPgyfFPNLCkYYwD3nA1Du1/IkG4t+OrASd5etZWxu1dXvOGxnfDZH91Ls47QeQR0vA5a9XFfsjK1iiUFY0wxIkLvNhfQu9cxSM7ybuNju2D107D6aTTiAqTDNdBhMHS4Guo3cyZgU60sKRhjPOs2xn05aO1cdOtiJOuUV5vL2ROw9R3Y+g6KINFdoe2VcFF/aDcAIho7FLg5H/ZIqjGmbM07w/BnkV/thDEvQruBVdqNoHDka/jf32HRJM4kr6rmQE11sTMFY0zFQutBj5vcy8n9sHkhJL0H32/zelf5Klzx1lnatFpDtCuLtMYH6RnTmIua1kOK3qTOPgOuUHDZz5QvWW8bY7zTuA0MfMC9HN0F296HpPfh+8oNcrxd23BSG3Cy4Amnj/e5H3mNjAihR0wkvVo3pmvLSPqlvELjdc8iUR2heRf3Et0VmsVCZGu7ie0QSwrGmKqL6vhDgji2G3Z9CLs/Rvd9geTneNzkf/mdPZannc1h9e5jrN59DIDnQz5jhCsLDm91L0VoUAhyQVv3kOFN2kOTdu7PjS+CRq3c72KYKrGkYIypHs1i3csV9yBZp2HPZ7D7I/hmJaTtL2y2r2EcVGLyt0vkQJl1kp8Dqbvdiyf1oyAyxp0gImN++NzwQvd9ErvJXSZLCsaY6hfWEDoPdy/gvg+x93PYu4bHr53KPfn1Wb/3BMs+38JJVyO2HEjjdFZu4eYh5HKxnMdYSxlH3YuHuSK+H/YS9XqOon6oq/g9jKKyTsO3qyC8sTuBRFzg/hwSUedfzrOkYIxxXuM20KsN9JoAQDNgSLcWhB/bQULCZeTnK9+mZrD5wEm2pKRx5sAmQo46M13oXe8dYOO7KwgPCaJZgzCaNggjqkEozRqE0axBGBfUD6VNdjKDV91SemNX6A+JIjwSQhtAaH33n2HnPjcs+LN+Qdm5pR6E1HdfcqvBLCkYY/wuKEhoH9WA9lENGNM7BpIPo4sjkcy0aj/WMSIByMzJJ+XEWVJOlJ5g6PKgJAaHetg4LxsyvncvVZAb0YxDd2wlLCSIsOAgwkNchLqCCAoqcfax7iXY8AoER0BwmHtpFQ9yeZWO6w1Hk4KIDAGeA1zAPFWdVaI+DHgN6AOkAjer6l4nYzLG1AIdrkZm7INTh9yPvR5Jcv95bDcc/wbOI1kc08gK20TizGRDh8/AgNkrS5WHuoIKEoWLsOAg7s7/gonZxW+ubz6YzpzQOHYH7WHKgIsdiQ8cTAoi4gJeAAYDKcA6EVmqqkUfbL4dOKGqHURkPPBH4GanYjLG1CIiENnKvcQO/qFcFc4ch+N73Aki9Rv35xPfQloKpB8pc5eZhHFB4wvITc8iOze/zHaR4kxSyFLPw41n5+WTnZfPadz3Vc4Enyn163woPY/1OXk023eCKY5E5+bkmUJfIFlV9wCIyEJgJFA0KYwEHiv4vBiYIyKiqupgXMaY2kwE6jd1L60vLV2fmw2nD7kTRNpBSDsApw5C2kHCg1x8PuFHqCqns3I5djqLY+nZHEvPIjU9i6Pp2aSdyaZ3iguOVn/oWXi6JlVaGKUf580p+LkOCXZ2IAonk0IroOgzZSlAv7LaqGquiKQBTYFjRRuJyFRgKkB0dDSJiYlVCig9Pb3K2wYi6y/vWH95z/k+i3YvDeKhQUGRh+PVK1hahwCREJXVkNS8PgTnphOSk05wrnsJ0vO7+Z0fFEKzCCEn3z0FanY+eDph8ZQUsnGfZRw/+r2jfVYrbjSr6lxgLkB8fLwmJCRUaT+JiYlUddtAZP3lHesv79XcPksAfl28SBWyMyDzJJw96X5sNTsDss/9mVGkLAOy091LVsGfOWfpFt2V9aOHFdttfr6SnZdPVk4+Wbl5ZOXmE/nBIijxCka/Di34WWgY11zRhz4XXeDY39zJpHAQaF1kPaagzFObFBEJBiJx33A2xpiaRcT9iGlYA/fLcNUkKEgID3IRHuKCgrMBhv8OMn4JuZkFSzatG11Ivx2pjiYEcDYprANiRaQd7h//8UDJB3+XArcCXwLjgE/tfoIxJuCdewu7pB2Jjh/asaRQcI9gGrAC9yOpL6tqkojMBNar6lLgJeB1EUkGjuNOHMYYY/zE0XsKqrocWF6i7NEinzOBG52MwRhjTOXZJDvGGGMKWVIwxhhTyJKCMcaYQlLbHvYRkaPAvoLVSKDkICgly4quN6PEi3HVyFMs1bVdeW3KqqtseaD1V3n13n6fSq5bf3nXX+Bcn1l/lXaRqkZV2EpVa+0CzK2orOg67qeefBZLdW1XXpuy6ipbHmj95W2fWX85119O9pn1V9WX2n75aFklyjy1cUJVj1OZ7cprU1ZdZcsDrb/Kq6/K98n6q/wy66/yy2tKfxWqdZePzoeIrFfVeH/HUVtYf3nH+st71mfe8UV/1fYzBW/N9XcAtYz1l3esv7xnfeYdx/sroM4UjDHGlC/QzhSMMcaUw5KCMcaYQpYUjDHGFLKkYIwxppAlhQIiMkpEXhSRt0XkWn/HU9OJyMUi8pKILPZ3LDWViNQXkfkF36uJ/o6nprPvlHec+s2qE0lBRF4Wke9F5OsS5UNEZKeIJIvIg+XtQ1XfV9UpwF3AzU7G62/V1F97VPV2ZyOtebzsuzHA4oLv1QifB1sDeNNfgfqdKsrL/nLkN6tOJAXgVWBI0QIRcQEvAEOBLsAEEekiIt1F5F8lluZFNv11wXZ12atUX38FmlepZN/hnoL2QEGz85vxvfZ6lcr3l6laf1Xrb5ajk+z4iqquEpG2JYr7AsmqugdARBYCI1X1D8DwkvsQEQFmAR+o6kZnI/av6uivQOVN3wEpuBPDJurOP8C84mV/bfNtdDWPN/0lIttx4DerLn9RW/HDv9LA/T9oq3La3wNcA4wTkbucDKyG8qq/RKSpiPwdiBORh5wOroYrq+/eBcaKyN/wwxg2NZjH/rLvVJnK+n458ptVJ84UqoOqPg887+84agtVTcV9LdOUQVUzgJ/6O47awr5T3nHqN6sunykcBFoXWY8pKDOeWX9VnfWdd6y/vOPT/qrLSWEdECsi7UQkFBgPLPVzTDWZ9VfVWd95x/rLOz7trzqRFERkAfAlcImIpIjI7aqaC0wDVgDbgUWqmuTPOGsK66+qs77zjvWXd2pCf9koqcYYYwrViTMFY4wx1cOSgjHGmEKWFIwxxhSypGCMMaaQJQVjjDGFLCkYY4wpZEnBGGNMIUsKxhhjCllSMMYLIrJSRAYXfH5SRP7i75iMqU42Sqox3vktMLNgoqE4AnRGNVN32ZmCMV5Q1VWAAPcD41U1D0BE3vfUXkTm+TA8Y86bJQVjvCAi3YELgWxVPV1Q1hpIEZFWBZeXflkwmXo9oIOI/E5E3vNn3MZUliUFYypJRC4E3sQ9dWS6iJybS7cPsAHoCbylqs8CuUBvYImqPgJk+CFkY7xmScGYSij4V/+7wK9UdTvwBO77C+BOChtxJ4XVBWUKXAp8UrCe57tojak6SwrGVIKqnlHVy1X144L1Vap6eUF1VyAJ6ADsEpFmwGGgC7CjYP2oP+I2xls2n4IxxphCdqZgjDGmkCUFY4wxhSwpGGOMKWRJwRhjTCFLCsYYYwpZUjDGGFPIkoIxxphClhSMMcYU+n/yCoZLCc6WEAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "NN = [2,-2]\n",
    "VaryX(sX='A',sX1='Act',sX2='Inh',XX1=[1,10],X2=1,NN=NN)\n",
    "VaryX(sX='Act',sX1='A',sX2='Inh',XX1=[3],X2=1,NN=NN)\n",
    "VaryX(sX='Inh',sX1='A',sX2='Act',XX1=[2],X2=1,NN=NN)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Discussion\n",
    "\n",
    "- The maximum flowrate is unchanged by activation or inhibition.\n",
    "\n",
    "- Increasing the cooperativity order $N$ increases the slope of the curves and the incremental gain with respect to   substrate, activation and inhibition.\n",
    "\n",
    "- It is necessary that the product potential is small. It is a chemostat here and this is acjeived by a small $K_B$. In a real situation, this could be acheived by removing product rapidly, having a product with small standard potential or using energy pumping via, for example ATP hydrolysis.\n",
    "\n",
    "- the behaviour is dependent on the parameters of the particular enzyme-catalysed reaction; those used here are for illustration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  },
  "toc": {
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   "nav_menu": {},
   "number_sections": true,
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   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}