{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os.path\n",
    "import scipy.linalg\n",
    "import scipy.integrate\n",
    "import scipy.signal\n",
    "import matplotlib.cm"
   ]
  },
  {
   "attachments": {
    "lec21_Goodwin.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Goodwin's Oscillator\n",
    "\n",
    "We will examine how the amplitude and period are affected by each parameter in the system. Each state is produced at a rate proportional to $\\alpha_{1,2,3}$ and destroyed at a rate proportional to $\\gamma_{1,2,3}$. Z down-regulates X with activation threshold $K$ and Hill coefficient $n$.\n",
    "<div>\n",
    "<img src=\"attachment:lec21_Goodwin.png\" width=\"200\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def goodwin_oscillator( t, statevars, params ):\n",
    "    X = statevars[0];\n",
    "    Y = statevars[1];\n",
    "    Z = statevars[2];\n",
    "    alpha_1 = params[0]\n",
    "    K = params[1]\n",
    "    n = params[2]\n",
    "    gamma_1 = params[3]\n",
    "    alpha_2 = params[4]\n",
    "    gamma_2 = params[5]\n",
    "    alpha_3 = params[6]\n",
    "    gamma_3 = params[7]\n",
    "        \n",
    "    dydt = np.zeros( (3,) )\n",
    "    dydt[0] = alpha_1*K**n/(K**n+Z**n) - gamma_1*X\n",
    "    dydt[1] = alpha_2*X - gamma_2*Y;\n",
    "    dydt[2] = alpha_3*Y - gamma_3*Z;\n",
    "\n",
    "    return dydt\n",
    "\n",
    "\n",
    "def get_period(t,x):\n",
    "    \"\"\" Approximate the period of a 1-D x, given the time-steps t.\n",
    "        Returns a tuple with the period and the standard deviation of the period over time.\n",
    "        if the value of the standard deviation is not smaller than 0.1, then\n",
    "        it means the period estimate is dodgy and you shouldn't use it. Instead,\n",
    "        plot your simulation and figure out why it isn't periodic - maybe it just\n",
    "        hasn't reached the limit cycle yet.\"\"\"\n",
    "    idxs = scipy.signal.find_peaks(x)\n",
    "    idxs = idxs[0]\n",
    "    times = t[idxs]\n",
    "    period = np.mean(np.diff(times));\n",
    "    sdperiod = np.sqrt(np.var(np.diff(times)));\n",
    "    return (period,sdperiod)\n",
    "\n",
    "def simulate_goodwin( params, t0=0, tStop=240, dt=0.1 ):\n",
    "    yinit = np.ones((3,));\n",
    "    sol = scipy.integrate.solve_ivp(fun=goodwin_oscillator, t_span=(0,10*24), y0=yinit, method='RK45', \n",
    "                                    t_eval=np.arange(0,10*24,0.1), args=[params] )\n",
    "    sol = scipy.integrate.solve_ivp(fun=goodwin_oscillator, t_span=(0,10*24), y0=sol.y[:,-1], method='RK45', \n",
    "                                    t_eval=np.arange(t0,tStop,dt), args=[params], rtol=1e-8 )\n",
    "\n",
    "    return sol\n",
    "\n",
    "def goodwin_period( params ):\n",
    "    \"\"\" Return the period of Goodwin's oscillator when simulated with the given parameters. \"\"\"\n",
    "    sol = simulate_goodwin( params )\n",
    "    (per,sdper) = get_period( sol.t, sol.y[0,:] )\n",
    "    return per"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Write a function to compute the amplitude of the Goodwin oscillator\n",
    "\n",
    "The input should be the paras and which_state. which_state should be the index of the state for which we want to compute the amplitude. If which_state is -1, then compute the amplitude of all the states, and return the sum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def goodwin_amplitude( params, which_state=-1 ):\n",
    "    \"\"\" Return the amplitude of the given state or of the sum of all three states\n",
    "        If which_state  == -1, then return the sum of all 3.\n",
    "        Otherwise, which_state should be 0 (for M), 1 (for P), or 2 (for I)\n",
    "    \"\"\"\n",
    "    sol = simulate_goodwin( params )\n",
    "    if which_state == -1:\n",
    "        return np.sum(sol.y.max(axis=1)-sol.y.min(axis=1))\n",
    "    else:\n",
    "        return sol.y[which_state,:].max() - sol.y[which_state,:].min()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compute the period and amplitude of the Goodwin oscillator with published parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "period 22.240000000000002\n",
      "amplitude of X 0.078766758608702\n",
      "amplitude of Y 0.22063799095092582\n",
      "amplitude of Z 0.5787024185615389\n",
      "amplitude of X+Y+Z 0.8781071681211667\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha_1 = 1\n",
    "K = 0.61\n",
    "n = 11\n",
    "gamma_1 = 0.15\n",
    "alpha_2 = 1\n",
    "gamma_2 = 0.15\n",
    "alpha_3 = 1\n",
    "gamma_3 = 0.25\n",
    "\n",
    "pub_params = [alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3]\n",
    "param_names = ['alpha_1','K','n','gamma_1','alpha_2','gamma_2','alpha _3','gamma_3']\n",
    "\n",
    "per = goodwin_period( pub_params )\n",
    "print(\"period\", per)\n",
    "amp1 = goodwin_amplitude( pub_params, which_state = 0 )\n",
    "print( \"amplitude of X\", amp1)\n",
    "amp2 = goodwin_amplitude( pub_params, which_state = 1 )\n",
    "print( \"amplitude of Y\", amp2)\n",
    "amp3 = goodwin_amplitude( pub_params, which_state = 2 )\n",
    "print( \"amplitude of Z\", amp3)\n",
    "ampTot = goodwin_amplitude( pub_params, which_state = -1 )\n",
    "print( \"amplitude of X+Y+Z\", ampTot)\n",
    "\n",
    "sol = simulate_goodwin( pub_params, tStop=4*24)\n",
    "plt.plot( sol.t, sol.y.T );\n",
    "plt.legend( [\"X\",\"Y\",\"Z\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Copy your sensitivity function here"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sensitivity( fcn, ref_params, frac_change ):\n",
    "    \"\"\"\n",
    "    fcn should be a handle to a function that takes a parameter set as input\n",
    "        and returns a scalar as output.\n",
    "    ref_params should be a 1D ndarray with the parameter set\n",
    "    frac_change is the perturbation size, as a scale (i.e. the fraction by which you want to adjust the parameter by)\n",
    "    \"\"\"\n",
    "    ref = fcn( ref_params );\n",
    "    Srel = np.zeros((ref_params.size,));\n",
    "    for i in range(ref_params.size):\n",
    "        params = ref_params.copy();\n",
    "        params[i] = (1+frac_change)*ref_params[i];\n",
    "        output = fcn( params );\n",
    "        Srel[i] = (output-ref)/frac_change;\n",
    "    return Srel"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compute the sensitivity of the amplitude of the first state \n",
    "\n",
    "Compute the sensitivity of X's amplitude to 5% perturbations in each of the parameters.\n",
    "\n",
    "To which parameters is the amplitude sensitive? To which parameters is it insensitive?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "Srel = sensitivity( lambda p: goodwin_amplitude( p, which_state = 0), np.array(pub_params), 0.05 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "plt.plot( np.arange(len(pub_params)), Srel, '*')\n",
    "plt.plot( plt.xlim(), [0, 0], 'k');\n",
    "plt.xticks( ticks=np.arange(len(param_names)), labels=param_names);\n",
    "plt.title( \"Sensitivity of X's amplitude to parametric perturbation\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simulate the model to visualize\n",
    "\n",
    "The sensitivity measure tells us that increasing the rate of degradation of X, we should see an increase in X's amplitude. Let's verify that nothing funky is going on. We will use a perturbation size of 10% (which is still small, but will reveal the changes more clearly than 5% would)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha_1 = 1\n",
    "K = 0.61\n",
    "n = 11\n",
    "gamma_1 = 0.15\n",
    "alpha_2 = 1\n",
    "gamma_2 = 0.15\n",
    "alpha_3 = 1\n",
    "gamma_3 = 0.25\n",
    "\n",
    "params = [alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3]\n",
    "sol = simulate_goodwin( params, tStop=24*4 )\n",
    "plt.plot( sol.t, sol.y.T );\n",
    "plt.gca().set_prop_cycle(None)\n",
    "\n",
    "\n",
    "params = [alpha_1*1.1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3]\n",
    "sol = simulate_goodwin( params, tStop=24*4 )\n",
    "plt.plot( sol.t, sol.y.T, '--' );\n",
    "plt.gca().set_prop_cycle(None)\n",
    "\n",
    "\n",
    "params = [alpha_1,K,n,gamma_1*1.1,alpha_2,gamma_2,alpha_3,gamma_3]\n",
    "sol = simulate_goodwin( params, tStop=24*4 )\n",
    "plt.plot( sol.t, sol.y.T, ':' );\n",
    "\n",
    "plt.legend( ['X (ref)','Y (ref)','Z (ref)',\n",
    "             'X (larger alpha 1)','Y (larger alpha 1)','Z (larger alpha 1)',\n",
    "             'X (larger gamma 1)','Y (larger gamma 1)','Z (larger gamma 1)']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the effects of perturbing the Hill coefficient n by 10%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha_1 = 1\n",
    "K = 0.61\n",
    "n = 11\n",
    "gamma_1 = 0.15\n",
    "alpha_2 = 1\n",
    "gamma_2 = 0.15\n",
    "alpha_3 = 1\n",
    "gamma_3 = 0.25\n",
    "\n",
    "params = [alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3]\n",
    "sol = simulate_goodwin( params, tStop=24*4 )\n",
    "plt.plot( sol.t, sol.y.T );\n",
    "plt.gca().set_prop_cycle(None)\n",
    "\n",
    "params = [alpha_1,K,n*1.1,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3]\n",
    "sol = simulate_goodwin( params, tStop=24*4 )\n",
    "plt.plot( sol.t, sol.y.T, '--' );\n",
    "\n",
    "plt.legend( ['X (ref)','Y (ref)','Z (ref)','X (larger n)','Y (larger n)','Z (larger n)'] );"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compare amplitude sensitivities across the three states\n",
    "\n",
    "Compute and plot amplitude sensitivities for each state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "state_names = ['X','Y','Z']\n",
    "plt.figure(figsize=(12,4))\n",
    "legs = []\n",
    "\n",
    "for i in range(len(state_names)):\n",
    "    Srel = sensitivity( lambda p: goodwin_amplitude( p, which_state = i), np.array(pub_params), 0.05 )\n",
    "    plt.plot( np.arange(len(pub_params)), Srel, '*')\n",
    "    plt.xticks( ticks=np.arange(len(param_names)), labels=param_names);\n",
    "    plt.title( \"Sensitivity of amplitude to parametric perturbation\" );\n",
    "    legs.append( \"Sensitivity of %s amp\" % state_names[i])\n",
    "plt.plot( plt.xlim(), [0, 0], 'k');\n",
    "plt.legend( legs );"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compare the amplitude sensitivities to the period sensitivities\n",
    "\n",
    "Ok, I really just mean plot the period sensitivities so that we can look at the two in close proximity. What are the similarities and differences?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Srel = sensitivity( goodwin_period, np.array(pub_params), 0.05 )\n",
    "plt.figure(figsize=(12,4))\n",
    "plt.plot( np.arange(len(pub_params)), Srel, '*')\n",
    "plt.plot( plt.xlim(), [0, 0], 'k');\n",
    "plt.xticks( ticks=np.arange(len(param_names)), labels=param_names);\n",
    "plt.title( \"Sensitivity of Period to Parametric Perturbation\");"
   ]
  }
 ],
 "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
